diff --git "a/data/dm_maths/full_data_2/4012_11255.jsonl" "b/data/dm_maths/full_data_2/4012_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/4012_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Sort 23, 1, -4, -5, 10.\nAnswer: -5, -4, 1, 10, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 17*n = w - n - 82, -2*w + 35 = -n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g + 3. Let f(c) = 4*c + 3. Let d(q) = -3*b(q) + 4*f(q). Let v be (-3)\/(0 - -3) - -3. Let s be d(v). Put -1, 4, s in descending order.\nAnswer: s, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 - 2 + 4*t**2 - 146*t + 145*t. Give m(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**4\/(n\/(n**0\/n*n)))**(-1\/74))**(-31))**31 assuming n is positive.\nAnswer: n**(2883\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 + -0.3. Let d = -26.27 - -24. Let i = 0.27 + d. What is the nearest to q in 0.5, 5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 4\/(-34) - 2070\/(-255)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -147260808.857 and 2704.\nAnswer: -147258104.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcmccmcmrxr. What is prob of picking 1 m and 1 r?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 3*x - 14*x)*(-3 + 7 + 2) to m*x + l and give m.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2031 is divided by 677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2219*o = 24673 - 184441 for o.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + v**2 + v + 1. Let t(a) = a**3 - a**2. Let d(w) = 7*w**3 + 3*w + 3. Let j(m) = 2*d(m) - 6*t(m). What is j(n) - 6*x(n)?\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19463406, 77853682, 175170808, 311414784, 486585610?\n\"Answer: 19463425*r**2 + r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdlb when four letters picked without replacement from {d: 3, s: 3, l: 2, b: 5}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25053032*i - 25053031*i - 58*i**3 + 50106063*i.\nAnswer: -58*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.032847066 - 0.032847116. Let l = d + -4. What is l rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3819*z**4 + 3756 with respect to z.\nAnswer: -15276*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*v**3\/2 + 33*v**2 + 37*v\/2 - 3.\nAnswer: (v + 1)*(v + 2)*(23*v - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0\/(-2))\/(1\/(-7)). Suppose 0 = 3*q - 5*w + 14, 6 = -3*q - 3*w. Put y, -5, q in increasing order.\nAnswer: y, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 464068, 464050, 464020, 463972, 463900, 463798, 463660, 463480?\nAnswer: 463252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3363.688 litres in millilitres?\nAnswer: 3363688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -31.4. Let u = -0.6000106 + w. Round u to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090170271?\nAnswer: 17, 43, 149, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 25*b - 74*b + 83 + 21*b + 26*b.\nAnswer: -2*b + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258942 and 10506.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, -9, -26, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 + -0.59. Let g be 10\/3 + 2\/3. Let l be (-1)\/(-17)*g\/(-2). Put 0.2, l, f in decreasing order.\nAnswer: 0.2, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24 (b) -100 (c) -2 (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572652513.\nAnswer: 3, 1123, 56659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 less than 269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.65828 millilitres in litres?\nAnswer: 0.03365828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 20. Let h(w) be the first derivative of -w**2 + 21*w + 3791. Calculate 6*h(b) - 5*o(b).\nAnswer: -2*b + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 38. Let a(o) = 5795*o - 4189. Let m(x) = -2*a(x) - 54*z(x). What is the first derivative of m(y) wrt y?\nAnswer: -11644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 5*i**4 - i**4 - 3*i**4)*(-7 + 7 + 3*i)*(13 + 0 + 42).\nAnswer: 165*i**5 - 330*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 568 or -287?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 3)*(-14*p - 389 - 16*p + 54*p - 15*p - 13*p).\nAnswer: 20*p + 1945","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471910798 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 3*s**2 + 21. What is l(-7)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923675 is divided by 113.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (-4 + -2) - 27) + (1 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 635\/12. Is 0 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -28.9. Let q = p + -0.8. Do 2\/5 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*p + 3*f, 2*p + 2*f = -0*f. Suppose -217 = p*v - 557. Let n be ((-68)\/(-6))\/(1\/3). Calculate the greatest common factor of v and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28307?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196 is divided by 82.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 280, -2, 8, 5 in descending order.\nAnswer: 280, 8, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**3\/2 + 21*u. Let j(g) = -7*g. Determine c(j(o)).\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-76)\/(-84) + (-32)\/(-56)*-1. Which is the third smallest value? (a) s (b) -5 (c) 2\/11 (d) 1 (e) -5\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*k - 435, -2*k - 925 = -j - 473. Suppose 5*o - 2108 = 327. Is j bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 5960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**5*l**2 + 99*f**5 - 78*f*l + 2*l**2 wrt f.\nAnswer: 40*f**3*l**2 + 1980*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Suppose 2*l - y + 5*y = 20, -5*l - d*y + 78 = 0. Suppose -4*g - 1 = -9. Solve g*j - l = 4*i, 2*j - 2 + 8 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 20 = q, 4*i - q = 1 + 14. Calculate the least common multiple of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 45*m + 87*m - 6*m**2 + 14*m**2 + 250*m to c*m**3 + g + o*m**2 + v*m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*j + 1287, s - j - 317 = -5*j. Suppose m - 3*k = -s, -464 = m - 5*k - 141. Let y = m + 929. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -326, -5, -2, 573, -38, 2 in ascending order.\nAnswer: -326, -38, -5, -2, 2, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 10*o + 13. Let t be k(-11). Differentiate 10*v + 2 - 10*v + v**t with respect to v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*n + 9, -3*n + 3543 = -13*k + 3588 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102799\/20 - -5136. Find the common denominator of (-674)\/252 - 2\/(-7) and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 (base 15) in base 6?\nAnswer: 12255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8754*q + 2 - 3*q**2 - 43*q**4 + 4*q**2 + 8756*q - 3*q**2 - 1 in the form h*q**4 + g*q**2 + l*q**3 + v + z*q and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 4. Let z(c) be the third derivative of c**4\/24 + c**3\/6 + 3*c**2. Calculate 2*t(h) + 6*z(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 3 - (0 + -2 + -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*z + 74*z - 5*p = -2615, 3*z + 2*p + 42 = -z - 10 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*s + 267*s - 5599 = 3555. Let d(o) = 253*o**3 + 23. Let u(m) = -23*m**3 - 2. What is s*u(z) + 4*d(z)?\nAnswer: -46*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 1. Let l be i(-4). Suppose -7 = -l*d + 2*m + 3, -10 = -2*d + 3*m. Are d and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1604642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 11*a + 1. Give x(-5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/151 + -3936\/755. Which is bigger: -6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4924278 and 9510?\nAnswer: 1902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 2, 2\/7, 1324 in increasing order.\nAnswer: -2\/17, 2\/7, 2, 1324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61683, 64114, 70711, 83556, 104731, 136318, 180399?\nAnswer: 239056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/(-24) + (-18)\/144?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22, -52, -82?\n\"Answer: -30*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 - ((-561)\/(-6))\/11)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a millennium in years?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*y + 50*y + 6 = 0. Solve -y*j = -4*j - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + x**2 + 7*x + 6. Determine v(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 153504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 37*d**4\/12 - d**3\/2 - 26*d - 11. Let v(u) be the first derivative of h(u). What is the second derivative of v(o) wrt o?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 - 33606134\nAnswer: -33606135.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, r: 4, w: 1}. Give prob of picking 2 r.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**6\/4140 - x**5\/138 + 11*x**4\/276 + 28*x**3\/3 + 39. Let d(m) be the third derivative of b(m). Factor d(a).\nAnswer: -2*(a - 1)*(a + 11)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 15*g + 160 = 5*g + 7*g, -m = g - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -538*y + 592*y - 290628. What is the highest common divisor of 117 and y?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 480*b - 333. Let o(x) = -x + 3. Let l(k) = 5*o(k) + z(k). Let g(m) = 238*m - 160. Let a(p) = -5*g(p) + 2*l(p). What is the derivative of a(i) wrt i?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 19. Let u be ((-6)\/t)\/(0 + -1). Suppose -4*v + 7 - 11 = 0. Put 7, v, u in ascending order.\nAnswer: v, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)*y**4)\/((y\/(y\/y**(-5)))\/y*(y*y\/((y*y**(-2\/3))\/y))\/y))**(-4) assuming y is positive.\nAnswer: y**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1825 - -2596. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 124 and 244.\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -194\/96433?\nAnswer: -194\/96433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -1\/2, 0.1, -5, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 44 - 34 = 0. Let w = -7564 - -7569. Solve 2*g = w*d - 16, 6*d + 5*g = 2*d + m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -5, 3, 4, -0.13, -443\/4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1977 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 410\/5*(78 + -13) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 91660567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 0*d**3 + 0 + 2*d**2 + 0*d + 1\/20*d**5 + 0*d**4. Let g(o) be the first derivative of 2*o**3\/3 - 5. Calculate n(g(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 304 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 15) to base 10\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/35 + 54\/10. Suppose 5*q = 2*p + 22, -u*p + 8 = -3*p. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8\/13)\/(l\/l**(-3\/17)))\/((l\/(l*l\/l**(-16)*l))\/l**(-9\/8)) assuming l is positive.\nAnswer: l**(26667\/1768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(1317*h + 1122 + 1327*h - 2643*h - 8697).\nAnswer: -h + 7575","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 - 8*t + 2. Let x be h(3). Suppose 8*a - 57 = x. Suppose 15*c = a*c + 310. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -431 - -5?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5662282313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**4\/12 - a**2. Let z(n) = -8080*n - 208. Let h(l) = -117*l - 3. Let j(w) = 208*h(w) - 3*z(w). Determine j(v(g)).\nAnswer: -192*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1781 - 6010 = -798*j - 315*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*48\/(-40)*30\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/468000 and 103\/36000.\nAnswer: 468000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1. Let a = 2 - l. Suppose -12 - 3 = -a*u. Solve q - 4*o + 14 = -q, 0 = -4*q + u*o - 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(343) + (-1 + sqrt(7) + 3)**2 - (sqrt(56)*-2*2)\/(sqrt(144)\/sqrt(2))).\nAnswer: 10 + 37*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25.6 and 20.\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1410750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {m: 1, v: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 44087258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -39, 9, 2 in descending order.\nAnswer: 9, 2, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.57 + 0.56997999. Round b to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 6*d**2 + 5*d - 5. Let u(i) = 5*i + 2. Let v be u(-1). Let f be (-3 - v) + 3 - (-6)\/3. Calculate c(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.374 and 139.\nAnswer: 51.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2328 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 708, 1086, 1464, 1842?\n\"Answer: 378*j + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - ((-1 - 2) + 1). Let k be 0\/((1 - u)\/(-1)). Let n(m) = -5372168*m - 5372163*m + 10744330*m - 11. Calculate n(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89919762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1880235556 to the nearest integer?\nAnswer: 43362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*r + 8 = 0, -4*s + 2 = s + 4*r. Suppose s*z - 492 = 180. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.76938 and -97.5082?\nAnswer: 88.73882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = g + 84, 5*g - 140 = 5*v + 4*g. Is 66\/4*v\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181 - -397. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 - 4 = 0. Let x(k) = -8*k - 4*k + 19*k - 4*k - 4*k. Give x(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r + 5*j = -23*r + 25, j = 5*r + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 580241.6282 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*(u*u\/(u\/((u**(-1\/4)\/u*u)\/u)))\/u)*u)\/u)**41)**11 assuming u is positive.\nAnswer: u**(2255\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/166 and -3\/15768340.\nAnswer: 15768340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 717 = 3*w, 9*w = 10*w - 4*k - 254. What is the least common multiple of 33 and w?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 0*14\/(-70). Solve -4*y = -3*h - 17, -j*h - 2 = -5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 less than -15347442?\nAnswer: -15347612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by -8\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhzqpppqkssqsp. What is prob of sequence hk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12543 - 9917. What is the remainder when i is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.85 - 31.75. Let j = -34.6854 - q. Round j to three dps.\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260\/(-78)*(-38 - 1) is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/45*(-1)\/(-3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01784420502 to six dps.\nAnswer: 0.017844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, j: 1, b: 4, e: 6}. What is prob of sequence jez?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 122355427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 - 83. What is the closest to q in -4\/7, -3, -4\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3294*34\/(-2448) - (-47 - -6)?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114.336 to 0 dps.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0248 - -0.9752. Let s = 1.2 - -2.8. Which is the nearest to 3\/2? (a) l (b) s (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen thirds of a week in minutes?\nAnswer: 47040","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 85520951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95320, 95211, 95038, 94807, 94524, 94195, 93826?\nAnswer: 93423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/5 + 44*h**2\/5 + 763*h\/5 + 2842\/5.\nAnswer: -(h - 58)*(h + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a second in milliseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3553 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 22*s. Let b(l) = -8*l - 215 - 133 + 3*l + 337. Determine h(b(n)).\nAnswer: -110*n - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 124 and -0.7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/7 (c) 0.4 (d) -4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 5, q: 3, p: 2, g: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9428 - 50.4272. Let w = 53 + u. Let p = w + -1.630073. Round p to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c - c - 2*c**2 + 6*c - c**2 in the form z + a*c**2 + b*c and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.60356, 0.3?\nAnswer: -0.60356","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2. Let m(s) = -490*s - 4. Let g(n) = -7840*n - 63. Let r(a) = 4*g(a) - 63*m(a). Give r(o(k)).\nAnswer: -980*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 3*r - r + (-18*r - 13*r + 21*r)*(2 - 1 + 0) + r - 3 + 3 as n + k*r and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*l - 12. Solve -4*a - 5*s + 5 = 17, 0 = -l*a + 2*s - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 55*t - 56*t + 84237 = 0, -4*t = 5*r - 84228. List the prime factors of r.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h + 7. Let o(q) = 7*q + 6. Let l(s) = -7*o(s) + 6*z(s). Let p(b) = -8*b. What is p(l(t))?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/8557192 and 109\/4592.\nAnswer: 17114384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 104650389, 209300786, 313951183, 418601580?\n\"Answer: 104650397*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h - 3*h**2 + 2*h**2 - 15 - 13 + 0*h**2 + 25. Determine a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, p: 1, v: 1, o: 1, d: 1}. What is prob of picking 1 p, 1 o, and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4\/13 - 2*d**3\/13 - 114*d**2\/13 - 270*d\/13 = 0 for d.\nAnswer: -5, -3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 153*(4 - 2)\/2. Suppose -1062 = -3*l - b. Suppose -5*p - l = -838. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9\/5 - -53\/35. Sort 0.1, d, 3\/5 in increasing order.\nAnswer: d, 0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, q: 4, s: 1}. What is prob of sequence qa?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 2*i**2 - 1\/6*i**3 + 0 - 23\/60*i**5 - 30*i + 0*i**4. Give g(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 38. Suppose -28*c - 18 = -f*c. List the prime factors of (-1)\/((24\/412)\/c).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 + 2*c**3 + 895*c**2 + c**3 + c**3 + 1042*c**2.\nAnswer: 2*c**3 + 1937*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, l: 11}. What is prob of sequence lss?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-4) + (1210 - (-1 - 4))?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-1\/6))\/n)**(-9\/4)\/((n*n**(-2\/37))\/(n*n\/n**(-9\/7))) assuming n is positive.\nAnswer: n**(963\/2072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9914?\nAnswer: 2, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 16455337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 49?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4877.6867 rounded to the nearest 100?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -259 and -0.6919?\nAnswer: 258.3081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23184 and 238096.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o + 20 = -34*o. Let w(r) = 4*r**3 - 2*r**2 + 2*r. Let y = -1 - -6. Let n(s) = 9*s**3 - 5*s**2 + 5*s. What is o*n(v) + y*w(v)?\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/2))**(-39)\/((p\/p**39)\/(p\/p**(-1\/30))) assuming p is positive.\nAnswer: p**(-877\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = -3*d + 205. Solve 3*z - 13 = 3*a + 2*a, 11 = 5*z - d*a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000976 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**19\/j)\/j*j*j\/j**(-15) assuming j is positive.\nAnswer: j**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4728)\/(-48))\/(-197))\/(1\/86)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*r - 407 = 0, -4*r + 98 = 2*a - 70. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 - 2*h**5 + h**5 + (h**3 + 0*h**2 + 0*h**2)*(-4*h + 2*h**2 + 4*h) + h + 85*h**5 - 16 - 86*h**5 + 22.\nAnswer: 2*h**5 + h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1191 - 207. Calculate the remainder when z is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*20\/8*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407287, -814896, -1222505, -1630114, -2037723?\nAnswer: -2445332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 + -84. Put 6, w, 2, 3 in decreasing order.\nAnswer: 6, 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1534 - -2?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 + 78. Suppose 0 = 5*n - 3*r - 11 - 1, 3*n = -3*r + 12. Let l be (-10)\/(-15)*(9\/(-6) + n). Solve a*p = p + l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 954121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-4 - (2 + (-5 - 0) - -5)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by -6\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.038799\nAnswer: 0.0038799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-4))\/((-126)\/36)*70*(-8)\/480?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.2, -11, 591?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/35175 and 8\/35.\nAnswer: 35175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.7 - -2.6. Let w = -0.7 + 1. Which is the third biggest value? (a) w (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 316 + -308. Is q bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.137411km in centimeters?\nAnswer: 413741.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*m - r - 56, r = 2*m + 24. Let l be (-3)\/(-6) + 11\/m. Which is the closest to -1\/27? (a) l (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**8\/6720 + j**7\/1120 + j**6\/480 + j**5\/480 - j**3 - 2. Let w(b) be the third derivative of z(b). Solve w(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2 + sqrt(704) - sqrt(704)) + 2 - (sqrt(704) + 1 + 3*sqrt(704) - sqrt(704)))**2.\nAnswer: 48*sqrt(11) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8352 and 684081.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7874822 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - p**2 - p + 2. Let u be t(0). Let k be 2\/12*(6 - 0). Which is greater: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.79935678 to four dps.\nAnswer: 0.7994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11211*z**3 + 8 + 2*z**2 - 1 - 7 - 11458*z**3.\nAnswer: -247*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**3 - 10196*c**2 + 5414240*c + 1433951600 = 0. Calculate c.\nAnswer: -191, 1370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*r + 1 + 7 + 133*r - 68*r - 63*r - 3.\nAnswer: -39*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m. Let b(h) = -185743*h**2 + 4984*h - 1246. Let s(r) = 893*r**2 - 24*r + 6. Let a(q) = -3*b(q) - 623*s(q). Give u(a(x)).\nAnswer: -2670*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {j: 10, w: 10}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -2\/9, -0.3, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 3*h. Let b(s) = 2*s**2 - s. Let n be b(h). Suppose 0 = 7*y - n*y. Solve z + z + 2 = y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a tonne in kilograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61499705 a multiple of 7355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + m - 37. Let i be k(-7). Solve 0 = 2*s + u - 1, i*s - u - 3*u = 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h - 25. Let n(b) = b. Let d be n(3). Suppose -50 = -d*x - 2*x. Let r be u(x). Solve r = g - 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3952 + 1100*t + 3952 - 2*t**2 - 1100*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwonolls. What is prob of picking 1 n and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(14*n**3 + 68*n**3 - 11*n**3) + (2 - 2 - 2)*(0*n - 2*n**3 + 0*n).\nAnswer: 75*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -8691080 to the nearest 10000.\nAnswer: -8690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.4 (b) -4 (c) -1.71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 i, and 2 z when four letters picked without replacement from mmztnimmnmnzimnmt?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v - 416. Let q be k(-41). Put q, -2, 15, 4 in descending order.\nAnswer: 15, 4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30663150 divided by 742\nAnswer: 41325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**3 - 7111668*g**2 + 14223324*g - 7111660 = 0?\nAnswer: 1, 1777915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 91?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.41 + 42.83. Round q to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43020 - 43019 - 4*g**4 + 5*g**2 - 14*g**3 + 0*g - 6*g - 4*g**2 as y*g**3 + l*g**2 + f*g + b + o*g**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177 + 177.342. Let q = -0.058 - x. Let t = 14 - 15. What is the third smallest value in t, -3\/8, q, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, m: 9, q: 2}. What is prob of picking 2 v?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + (sqrt(847) - 4*sqrt(847)))**2 + (2*2*sqrt(56))\/(3*(sqrt(40)\/sqrt(5) + sqrt(8))).\nAnswer: -988*sqrt(7)\/3 + 7647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1)*((-191)\/(-1528) + 143\/8) - 2\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k + 127. Let l be p(20). What is the greatest common factor of 36 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60480019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -98640 to the nearest one thousand.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t = -20. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41.71483+-10.9\nAnswer: -52.61483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34*95\/(-38)*(-3)\/(-15).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -217 - -125. Is j less than or equal to -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 8*q**2 + 18*q - 17. Let m be 4 + 12*3*(-2)\/(-12). Let p be j(m). What is the highest common factor of 33 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48618 + 40014.4. Let u = z - -8603.6560063. Let m = u + -0.056. What is m rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**5\/20 + 3*t**4\/16 - t**2\/2 - 1667. Find f such that x(f) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-2) + 3 + (-9)\/(-6). What is the derivative of -r**2 + 0 + 9 - d*r**2 - 3 + 11*r**3 + 7*r**2 wrt r?\nAnswer: 33*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**5\/20 - 23*u**3\/6 + 22*u. What is the second derivative of y(a) wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59\/(-200) + ((-42)\/(-112))\/1\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u = -48*u - 63 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = n + 2154, -16*n + 2134 = 5*q - 12*n. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*x = 18824 - 3309 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2*t - 2*t)*(-54 + 35 - 52).\nAnswer: 213*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3937 + -69116048.\nAnswer: -69112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1503013 + 5?\nAnswer: -1503005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 34. Suppose 3*q - x = 5. Suppose 11 = -q*n - 3. Let p(d) = d**3 + 7*d**2 + 1. Determine p(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*i**2 - 1437*i - 6289190.\nAnswer: 74*i - 1437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000085191896 to 6 dps.\nAnswer: 0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 4*l - 5*l - 7*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 708 divided by -6.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*2 + 3 + sqrt(19) - ((sqrt(19) + -2)**2 + -3 + sqrt(19)))*1 - ((-2*sqrt(171) - sqrt(171)) + 4 + 0)**2.\nAnswer: -1572 + 78*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 (base 9) in base 8?\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -599898804.0003 - -599812130. Let o = q + 86678. Let l = o + -4. What is l rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/5 + 12*n**2\/5 + 8*n\/5.\nAnswer: 4*n*(n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Solve -z - a*i - 25 = 2*i, -5*i - 35 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(63) + 3) + -3)**2.\nAnswer: 540*sqrt(7) + 1899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*i**2 + 16726 - 23*i - 16726 wrt i?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -223 + 219. Put 0, -5, g, -3 in descending order.\nAnswer: 0, -3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 296.82 - 301. Let x = 2.59 + z. What is x rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(5)*-6 + -1.\nAnswer: -6*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/3417233 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 3:06 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/30 and -65\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lliq. Give prob of picking 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**4 + 8*v**3\/3 - 22*v - 52. What is the derivative of a(g) wrt g?\nAnswer: -12*g**2 + 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 21*f - 49. Let m be y(-18). Solve 0 = m*l - 10*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43372 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/4))**(-3\/10)\/(h**(-2\/5))**31 assuming h is positive.\nAnswer: h**(487\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*2\/36)\/(2\/18)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94389371?\nAnswer: 677, 139423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-336))\/(-4*(-24)\/(-64))\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + n**2 + 7*n - 3. Let k be ((-14)\/21)\/((-2)\/9). Let h be p(k). Solve 0 = -3*j - h*t - 2*t - 7, -5*t - 6 = -4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from {v: 3, q: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = f - 1633, 11*f - 821 = -2*m + 6*f. What is the lowest common multiple of 11 and m?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 442 and 260?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 7 = -9, 4*p - 2*n + 4 = 0. Sort -4, p, -70, -5, 2.\nAnswer: -70, -5, -4, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 8780507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*a - 402 - 693 = -7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 13) to base 12.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70265424 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 2:54 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 29, 54, 101, 176, 285, 434, 629?\n\"Answer: s**3 + 2*s**2 - 4*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 minus 12330548846801?\nAnswer: -12330548846801.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 + 5 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9707 and 9571?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1819, 6999, 15463, 27073, 41691, 59179?\n\"Answer: -23*t**3 + 1780*t**2 + t + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 10:15 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00266929058 to 6 decimal places.\nAnswer: 0.002669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -930*n + 927*n = 5*t + 13 - 16 + 36, 2*t = -70*n - 82 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h**5 - 10*h**4 + 54*h**3 + 22*h**2 - 46*h - 12 = 0 for h.\nAnswer: -3, -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -52539169 > -52539169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1319 + 780.5. Let m = 539 + j. Which is the smallest value? (a) -8 (b) m (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 939.8912 minutes to microseconds.\nAnswer: 56393472000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -0.182\nAnswer: 0.1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -38*n**2 + 4*n + 6. Let x be (-6*10\/75)\/((-2)\/(-5)). Let g be c(x). Let z = g + 251. What is the remainder when z is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 11:53 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 16 = 2*q. Suppose -4*v + 3*z = -27, 7*z = -2*v + 3*z - 14. Suppose -33 = -d - q*x, 0*x + v*x + 22 = 2*d. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 37, -49.4?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -5, -2.1, -483?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 821 divide 20093154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11533 is divided by 5457.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 306318.5nm?\nAnswer: 0.3063185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -4\/5 (c) 1 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**21*k)\/k**(-2) assuming k is positive.\nAnswer: k**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 269380 and 268986 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 9*b - 11 + 8.\nAnswer: -9*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 9. Let o = j + -28. Let u = 0.3 - -0.2. What is the nearest to o in -3, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 232*o - 232*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -311300853.\nAnswer: -5\/311300853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -270497684?\nAnswer: -270497684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(36)\/sqrt(4))*2 + sqrt(24)\/(-3*sqrt(48)\/sqrt(4)).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Suppose 4*y - 26 = 2*p, 3*p - 1 = -2*y - 0. Which is the smallest value? (a) p (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 78?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1603.05 + -1522. Let y = u - 0.55. Let z = y + -68. Round z to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**1)*o**(-5)*o**(-1)*(o**(-8)*o)\/o*((o*o**(-13))\/o**(-8))**(-5\/3) assuming o is positive.\nAnswer: o**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42315010 (base 6) in base 3?\nAnswer: 2022221021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 87*s - 2. Let y(u) = -21817*u**2. Give g(y(a)).\nAnswer: -1898079*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 207 (base 8) to base 9\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-884)\/(-208) - 15\/(-24)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (365 - 0) + 24\/(-12). Suppose q = 2*q + 4*n + 13, 5*n + 25 = 0. Suppose q*h - d = 463. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 268920393449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 6*d - 12, -451*n - 9 = -224*n - 231*n + d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -458 + 459. Does 16 divide (4\/(-10))\/u - (-32721)\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 44. Let p = x - 18. Suppose p*i - 2*i = 96. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -36*g**2 - 9*g + 10. Give m(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 952\/1008 - (-1)\/18 - (0 - -4). Let y be (-384)\/(-1295) + (-6)\/21. Sort y, h, -2\/7, 2 in descending order.\nAnswer: 2, y, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/1080 and -73\/588?\nAnswer: 52920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147768384 and 64.\nAnswer: 147768384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-7)*20\/80*8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Suppose 5265 = 5*u + q*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 0, -2, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 0, -4*p + 188*t - 192*t + 716 = 0. What is the least common multiple of 3 and p?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4251*o**6 - 932*o**3 - 23*o**2 - 1068108?\nAnswer: 510120*o**3 - 5592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (1 + sqrt(637))**2 + sqrt(13) - (2 + sqrt(208)).\nAnswer: 12*sqrt(13) + 636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3 - 6 + y + 4. Let b be w(5). Solve 5*d - 4*l + 41 = b, -8 = -l - l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -225 (b) 822 (c) 163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*c. Let z be (8\/(-70))\/((-3)\/30 + c). Let i = 17\/21 - z. What is the biggest value in -2, 1\/3, i, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-2 - -117))\/(6\/(-16)). Let h = -312 + k. What is the common denominator of 53\/21 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c - c**3 + 0*c**2 - 2*c**3 + 0*c**2 + 2*c**3 - c**3 - 3*c**3 + (-c - 2*c + 6*c)*(0*c + c**2 + 0*c) - 1 - 2*c**3 + 1)*(20*c**2 - 15*c**2 - 6*c**2).\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 11. Let l be z(-11). Suppose l*h - 126 = -3*h. List the prime factors of ((-4)\/8)\/((-3)\/h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**4*v + 9923*d**3*v + 296*d*v + 1037*v - 2 wrt d?\nAnswer: -24*d**2*v + 59538*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -3*k**4\/4 - 72*k**3 - 2142*k**2 - 13872*k - 1847. What is a in d(a) = 0?\nAnswer: -34, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/9*(-4)\/(-24)*-1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {a: 2, l: 3, p: 1, r: 3, m: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10493 + -4116. List the prime factors of r.\nAnswer: 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12325*a**2*o - 2*a**2 - 4*a + 68*o**2 + 60894 with respect to o.\nAnswer: 12325*a**2 + 136*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) -0.1 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3467\/7 + 215409\/434. What is the common denominator of t and 29\/2?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + 0*c + 2*c + 0*c - 15*c + 3*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -992*v + 725*v - 3738 = 0 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 + -27. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -50. Let t(k) = -k - 1 + p*k**2 + 4*k + 7. List the prime factors of t(-3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by -2*((4 - 4) + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -1. Let b be ((-1)\/w)\/((-8)\/(-264)). What is the first derivative of -t**2 - b + 5*t**2 + 15 wrt t?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d5a + 2?\nAnswer: -2d58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15958, -31937, -47884, -63799, -79682, -95533?\n\"Answer: 16*u**2 - 16027*u + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1516 * 0.4.\nAnswer: 0.06064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/482 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 49*r**4 - 324*r**3 + 172*r**2 - 24*r. Let q(h) = -147*h**4 + 973*h**3 - 516*h**2 + 72*h. Let p(f) = 14*l(f) + 4*q(f). Factor p(j).\nAnswer: 2*j*(j - 6)*(7*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let t(c) = -c. Let s be -1 - (4 + (-1 - -1)). Determine s*t(u) + 3*r(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 829529, 3318114, 7465755, 13272452?\nAnswer: 20738205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/15)\/2*5. Let x be 0 + (-3)\/6*s. Find the first derivative of -3 - x*u**2 + 4*u**2 + 4*u**2 - 3*u**2 wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 4*t - 2. Let p be v(5). Suppose 212 = 5*m - p. List the prime factors of m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 j, and 1 u when three letters picked without replacement from {j: 2, u: 1, m: 2, c: 10, f: 3, x: 1}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8571316 is divided by 87?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -296239 times -0.17?\nAnswer: 50360.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**5\/12 - 49*w**2. Let f(i) = 7*i**2. Determine f(u(n)).\nAnswer: 175*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 108a64?\nAnswer: -108a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -86291?\nAnswer: 19\/86291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*o - 8599 = 1835 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16473 = -567*c - 5133 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/4295 + 30067\/8590. Is 927 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*6 + sqrt(63) + -5.\nAnswer: -5 + 39*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 16*z - 18. Let m be p(17). Let a be m\/3 - 3\/((-18)\/50). What is the highest common factor of a and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9998 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*p**5 - 8*p**4*t**3 + 14*p**2*t + p*t**3 - 5*t wrt p.\nAnswer: 2040*p**2 - 192*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12*n**2 + 43*n + 59. Let a be l(-14). Calculate the greatest common divisor of 67 and a.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7a91ab (base 12) to base 8\nAnswer: 7375723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4 + (-3)\/2. Solve 2*o + r*h = 4*h + 6, 5*o = -5*h - 30 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1937 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -146*d + 51*d - 1710 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6087868564 to the power of 1\/2, to the nearest integer?\nAnswer: 78025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-254 + 36 + 520)*(-5 + 5 - 2*k) to the form g + c*k and give c.\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i**3 + 4*i**3 - 3*i**3)*(0 + 9 + 2) + (-3*i + i**2 + 3*i)*(2*i + 3*i - 2*i) as y + n*i**2 + j*i + m*i**3 and give m.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-64))\/(6\/16). Which is the nearest to -1? (a) h (b) -15 (c) -7.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.25 and -29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*(sqrt(156) + ((sqrt(156) + sqrt(156)*-1 - sqrt(156))*6 - sqrt(156)))\/(sqrt(1728) - -2*sqrt(1728)))**2 + 4)*4.\nAnswer: -64\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 6:54 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spp when three letters picked without replacement from ppsppppppppppppppppp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-24)\/126))\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.15767949125728 and 0.4.\nAnswer: 0.24232050874272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwuuuuwuuu. What is prob of picking 2 u?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and -6091875.\nAnswer: -6091883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -313*f + 4380. Determine x(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 5:34 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/(-98))\/(2\/(-14)). Suppose -d + 245 = z*d - 5*o, d + 2*o - 78 = 0. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 438, 13, -2, 0, 4 in increasing order.\nAnswer: -2, 0, 4, 13, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1761288708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + (-5 + (1 + sqrt(272) + 0)*3)**2.\nAnswer: -48*sqrt(17) + 2459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, n: 1, t: 4}. What is prob of sequence ntt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, y: 1}. Give prob of sequence zyz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15545*o + 43816 wrt o?\nAnswer: 15545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + (-4 - 1))*372\/4. What is the greatest common factor of 31 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 11477?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a day?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3*u**2 - 8)*(1330 - 1330 + 96*u) - u**3 + 0*u**2 + 0*u**2 + (-u - 2*u + 4*u)*(-2*u**2 + 3*u**2 - 2*u**2) - u + u - u**3.\nAnswer: 285*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15766164.72 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14737*b - 14734*b + 36 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5453844 divided by -34518\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 0, 13092, -2, -23, 3 in increasing order.\nAnswer: -23, -4, -2, 0, 1, 3, 13092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*u**3 - 10*u**4 + 11*u**2 + 229*u**3 + 4 - u - 4 - 1 - 109*u**3 to the form r*u**4 + m*u**3 + j*u**2 + k + i*u and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 4.3. Let y = 19 + d. Let m = y + -22. What is the second biggest value in -0.3, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-35)\/14 + 4)*(0 - 176\/(-6)). Solve t*s - 39 - 181 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -918, -1834, -2746, -3654, -4558?\n\"Answer: 2*m**2 - 922*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275841353 to the power of 1\/3, to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134434200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-5\/6)*v\/v**(2\/3)*v*v**(-1) assuming v is positive.\nAnswer: 1\/sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - d + 71. Suppose -47*k = 4*k + 144*k - 2340. What is the remainder when d is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 6*b + 3*q + 5329 = 5327, b + 1 = 3*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*j + 42, -210 = g - 6*g - 2*j. Let u be 33\/7 - (-6)\/21. Suppose -k - 162 = -u*k - i, k - g = -i. What is the remainder when k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ilbgbi. What is prob of sequence lii?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27c - 26003?\nAnswer: -2627f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/((-4)\/(-9)*36\/768).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -248, -835, -1980, -3869, -6688, -10623?\nAnswer: -15860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -16.996. What is s rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*d = -0*d + 16, -4*d - 4 = 0. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1530439322 to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 6089*u + 14726322.\nAnswer: -(u - 1854)*(u + 7943)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 2*c + 4, -5 = c - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4581 and 377854623.\nAnswer: 4581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 573 = -3*d, -c + 142 = -2*d - 15. Calculate the remainder when c is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(20)\/(sqrt(4)*1) + (sqrt(80)*2)\/sqrt(4).\nAnswer: 5 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 41400?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ooookoooookookookoko.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (89 + -89)\/(4\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399214 is divided by 533?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5568923135230 minus -1.3?\nAnswer: 5568923135231.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21516*f + 58 + 21513*f - 58.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -203886, -407390, -610894?\n\"Answer: -203504*f - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 36 + 8 = 0. What is the first derivative of -15*q**2 + 0*q**2 - 17 - 16*q**y + 75 wrt q?\nAnswer: -62*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37, -53, -79, -115, -161, -217, -283?\n\"Answer: -5*c**2 - c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 529867115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z - 1. Let o(v) = -3*v. Give j(o(m)).\nAnswer: -18*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127780 - 7065.\nAnswer: 120715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + t**4 + (16 + 0 + 0)*(0*t**3 + 4*t**3 - 2*t**3)*(0*t - 3*t + t) to u*t**3 + g + b*t**4 + i*t**2 + c*t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 1\/5, 1\/2, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = k - 141 + 154, k = -3*g + 11. Let r = 18 + -12. Sort r, 7, k in decreasing order.\nAnswer: 7, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 8\/3. Let v = -1.3 - -0.3. Which is the nearest to 1? (a) m (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 10608068?\nAnswer: -10608068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22765*m**5 + 769*m**6 + 2*m**2 + 98 - 22765*m**5 wrt m.\nAnswer: 92280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 225 - 214. Suppose 5*g - 7232 = -s*g. What are the prime factors of g?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 602341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -396.029653 to the nearest ten.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192602734.\nAnswer: 2, 19, 5068493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -618.5 - 3\nAnswer: -621.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/250 + (-84)\/75.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 156 - 107. Let c = 21 + -2. Solve 4*t - c = -i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.25 rounded to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 12*o - 11. Let n be g(8). Suppose -27 = -3*y - n. Suppose -y*w = 2*w - 16. Solve -w*z - 8 = 4*l, 0 = -l + 2*z - 0 - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + -0.3. Let j(t) = -t**2 - 2*t - 4. Let f be j(-6). Let k = -221\/8 - f. What is the second smallest value in b, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-9)*t**(-5)\/(t\/(t*t**13)) assuming t is positive.\nAnswer: t**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4401, 8793, 13185?\n\"Answer: 4392*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -397.8 + 367. Let i = h + 32. Let w = -1.13 + i. Are w and 3\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 236 + 54. What is the third derivative of -31*t**2 - 22*t**5 + w*t**5 + t**2 wrt t?\nAnswer: 2160*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 24*k**2 + 8*k - 118. Let c(y) = -13*y**2 - 3*y + 59. Let i(n) = -6*b(n) - 11*c(n). What is i(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (43936\/(-10))\/((4\/(-1960))\/(-1)). What is the hundreds digit of i\/(-2058) + (-1 - 38\/(-42))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22081 is divided by 2389?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -1. Let c = 22047 - 22047.99835. Let h = c - d. What is h rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p - 46 = t, -p = 4. Let h be -2 + ((-12)\/t)\/((-1)\/(-12)). Suppose -2\/3*n**2 + 0 + h*n - 2\/3*n**3 + 2\/3*n**4 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9622 + 1000*v - 105*v + 35*v - 9632 + 19261.\nAnswer: 930*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)\/(p*(p*p**(5\/7)*p)\/p)*(p*p**(-1))**35 assuming p is positive.\nAnswer: p**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 5:21 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 28*a + 26.\nAnswer: 2*(a - 13)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) 2 (c) 0.4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*v = -4507*v - 175686 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 7. Let h(c) = c + 14. Let m be h(-9). Let j be q(m). Suppose 0 = n + 3*n - j. Solve -3*z = n*o - 24, -z + 18 = 6*o - 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.03 (b) -0.07 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-152.\nAnswer: 30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 145572 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -b5c41?\nAnswer: -b5c3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2105405 by 421081.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5.824 (b) -2 (c) 2\/381 (d) -5 (e) 0.4 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65002, 130003, 195004, 260005, 325006?\n\"Answer: 65001*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -534 - -2094. Suppose 2*h + d = -4*m, h = -0*h - 4*m - 786. Let c be 9*(-4 + h) - -2. Round c to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 4*p - 1. Let z be f(-3). Let m(c) be the first derivative of 0*c + c**4 + 2*c**z - 10\/3*c**3 + 2 - 2*c**2. Factor m(j).\nAnswer: 2*j*(j - 1)*(j + 1)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1433173 divided by 371\nAnswer: -3863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 0*s + 0 - 2 + s**2 - s. Let y be h(0). List the prime factors of 0 - y - (1 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 285794, 285808, 285820, 285830, 285838?\n\"Answer: -q**2 + 17*q + 285778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715053524?\nAnswer: 2, 17, 19, 553447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1120)\/24)\/(-10)*(-12)\/14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(-2 + sqrt(343) + sqrt(343) + 1)*3.\nAnswer: -504*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132676 and 60675?\nAnswer: 9950700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -30354413 (base 6) to base 13\nAnswer: -24638a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -394157\/4501 + -2\/4501. Let u = i - -88. Are u and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**1\/s)\/((s\/(s**(-4)*s))\/s))**(-4\/27))**(3\/11) assuming s is positive.\nAnswer: s**(4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -5, -2, -4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 307 + -5?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjd when four letters picked without replacement from {j: 3, d: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five sixths of a year in months?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, -443, 2\/9, -62.57, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.3 + -6.2. Let k = t - 3.1. Which is the third smallest value? (a) 5 (b) -7\/6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/11, 4502, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51210 (base 7) to base 3.\nAnswer: -122002020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 25. Let d = b + -2. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-7)*13*20\/(-1560)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 27*o**2 - 4*o - 3. Let n(a) = -8*a - 13. Let p be n(-2). What is the smallest common multiple of (-4 + 6)\/(p - (-20)\/(-7)) and i(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) -6 (c) -517 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -94, -111, -130?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1121 - 269. Let n = y + -851.541. Round n to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 5*p**2 - p + 3. Let q be z(-3). Let c be q\/(-3)*(-1)\/2. Let m = -0.317 + 5.317. What is the nearest to c in -2, -0.2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 532 and 157451?\nAnswer: 11966276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.8 and 6651701203.\nAnswer: 6651701203.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333 (base 7) to base 16.\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1870 - 8194 = -4*l + 3*s, 20 = 5*s. Suppose 3*v + 5*q - 1901 = 0, 2*v - l + 324 = 4*q. List the prime factors of v.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -3\/20*w**5 + 3*w - 3\/2*w**2 - 8 - 3\/2*w**3 - 3\/4*w**4. Let s(n) be the first derivative of b(n). Factor s(l).\nAnswer: -3*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737821 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n. Let x be f(1). Suppose 3*t + 0 = 3. Which is the smallest value? (a) t (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 1, -0.1 in descending order.\nAnswer: 52, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 16*f - 39. Let z be i(-18). Let h(n) = -n**2 - 3*n - 10. Let b be h(z). What is the units digit of (32\/12)\/(b\/(-795))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2867.995ml?\nAnswer: 2.867995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1304629 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 13*z**3 - 8*z**2 + 3*z - 13. Let n(p) = 7*p**3 - 4*p**2 + 2*p - 7. Let y(u) = -6*k(u) + 11*n(u). Give y(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 2.241576\nAnswer: -0.4483152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21767*r**3*s + 2*r**2*s - 2*r**2 - 11*r*s + 429*r wrt r?\nAnswer: 130602*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11)\/(y\/(y\/(y\/y**(-2\/11))*y))*(y*y\/y**10*y)\/y**6)**(-3\/29) assuming y is positive.\nAnswer: y**(798\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = 2*m, -i + 5*m = 3*i + 1. Find the first derivative of -2 + 5*k**3 + 2 - 2*k**3 + i wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 1. Let b be q(5). Let v be 10\/4 + 2\/4. Suppose -b*u = -v - 17. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1100\/(-574) - (-18)\/42. Let f = m + -1\/82. Put f, 8, 5 in increasing order.\nAnswer: f, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*j - 11 - 2 + 17 to p*j + n and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36385 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(15\/(-2))*(-6)\/(-2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -8813*l**2 - 8*l - 4. Let u be z(-8). What is u rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 782029313 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: Let f(d) be the third derivative of -1\/12*d**5 + 1\/12*d**4 - 1\/120*d**6 + 0*d + 2*d**2 + 2\/3*d**3 + 0. Suppose -2*j = -0*j + 10. Give f(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3522*i**2 - 82*i**3 + 3522*i**2.\nAnswer: -82*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 184\/3. What is the biggest value in a, -0.3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 - 1.15. Which is the nearest to s? (a) -3 (b) -0.04 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187008 divided by -6.\nAnswer: 31168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -438\/725 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/6 + 1)*-2. Suppose 48 = 4*x + 4*o, 0 = 4*x + 2*o - 42 + 4. Suppose 5*q = 3*v + 11, v - 8 = -3*q + x. Sort v, 2, j, -3 in ascending order.\nAnswer: j, -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9356 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: What is the value of 21*(52\/91 - 1) - (-64)\/12?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1502.86*300.\nAnswer: 450858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 2132?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -40, 19.\nAnswer: -56, -40, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*12.3054.\nAnswer: -2.46108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.19091t?\nAnswer: 9190910000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 562 (base 8) in base 15?\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 + 10*a - 6 - 3 with respect to a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30 + 97 + 136 - 493*c**3 - c**4 with respect to c.\nAnswer: -4*c**3 - 1479*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(9\/4)\/p)\/p*p)\/(p**(-4)\/p)*p**(1\/12)\/p**(-5) assuming p is positive.\nAnswer: p**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 210 in increasing order.\nAnswer: -5, 2, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 6*n**2 + 3*n - 4. Let u(r) = 29*r + 23*r + r**2 - 1 + r**3 + 25*r + 28*r - 104*r. What is h(j) - 4*u(j)?\nAnswer: -5*j**3 + 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*(((-1*sqrt(78) - sqrt(78)) + sqrt(78) - sqrt(78)) + sqrt(78)))\/(sqrt(6) - (sqrt(6) + sqrt(24)\/sqrt(4)*3) - sqrt(6)).\nAnswer: 3*sqrt(13)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/27)\/(3230\/(-1020))*18\/(-2).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 21 = -j. Let s = j + 37. Calculate the highest common divisor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22698914, -45397852, -68096790, -90795728, -113494666?\n\"Answer: -22698938*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x - 8. Let o(d) = -13*d - 15. Let n = -15 - -22. Let y = 1 - n. Determine y*o(g) + 11*b(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 208\/(-32)*36\/(-468)*-36.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 28, 14, -6, -32, -64, -102?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.039 - 0.061. Let q = -1 - -1.2. What is the nearest to q in -1, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*z**5 + 130*z**2 + 7*z + 26.\nAnswer: -60*z**3 + 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8591076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t + 9. Let g = -14 - -18. Let b be 32\/(-12)*(-6)\/g. Let u be a(b). Solve -2*m + z = 2, -4*m - 2*z - u = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itic when four letters picked without replacement from {z: 2, t: 4, c: 9, i: 4}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -79670225 times -2\nAnswer: 159340450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 6956 to the nearest one hundred.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 15*q + 62 = -2*w, -4*q = -2*w + 26. Let v(d) = 8*d**2 - 12*d - 12. Let b(n) = 3*n**2 - 4*n - 4. Determine q*v(c) + 11*b(c).\nAnswer: c**2 + 4*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27397.08 hours?\nAnswer: 98629488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*(-5)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/3 + 1390*b\/3 + 5528\/3.\nAnswer: 2*(b + 4)*(b + 691)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 127.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 175*m**2 + 8*m + 4. Let c be n(-8). Let z = c - -2460. Round z to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -75*v - 204. What is the hundreds digit of r(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 347 + -347.3. Let k be (21\/(-2))\/(-7) - 1. Sort -4, x, -2, k in decreasing order.\nAnswer: k, x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940665031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 2586614.\nAnswer: -155196.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(3)*-3 + sqrt(26)\/sqrt(2)*-2 + -6*sqrt(130)\/(2*sqrt(490)).\nAnswer: -38*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1257, -0.4, 1\/3 in increasing order.\nAnswer: -0.4, 1\/3, 1257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 6*u + 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -20. Let m be 5\/(-2)*p\/10. Let w(i) = i**3 + 6*i**2 + i + 2. Let o be w(-6). Which is the biggest value? (a) o (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**3 - 8*r**2 - 5*r - 2. Let l(z) = 6*z**3 + 8*z**2 + 6*z + 1. Let n(j) = -5*i(j) - 4*l(j). Let o be n(-8). Sort -3, o, 0.\nAnswer: -3, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m - 37. What is l(-3)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -96\/7, 5, -0.04, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + 0.78. Let y = 5.2 + d. Let r = 6 - y. Put 5, r, 4 in descending order.\nAnswer: 5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 4*n + 38 + 54, 634 - 631 = y for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12791964.\nAnswer: 2, 3, 31, 137, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12972*v + 0 - 12975*v + 38923*v - 12973*v + 0.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (2 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1023103232 + 1103?\nAnswer: -1023102123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -196*y**6 + 46*y**5 + 2207*y**2 - 4.\nAnswer: -23520*y**3 + 2760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - 4*j + 2*j)*(0 + 2 - 3)*(-2487*j**2 - 3473*j**2 + 3586*j**2) as i*j**3 + r*j**2 + n + m*j and give i.\nAnswer: -4748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 1795 + 29. Is 46 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5014e (base 16) to base 3\nAnswer: -121122221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(1*sqrt(400) - sqrt(4)))\/(sqrt(405) - (sqrt(405) + 6*(sqrt(405) + sqrt(405)*3))))**2.\nAnswer: 1\/1889568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - f - 8, 8*t - 4*f = 3*t + 26. Solve -t*b + 1 = 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(52\/14))\/((-21)\/276)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 146\/(-365)*(-15)\/114*-2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 759 and 12?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w - 1. Let i(b) be the second derivative of b**3\/6 + b. Suppose 47*p - 50*p - 636 = 0. Let r = p - -210. Determine r*y(n) - 18*i(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:00 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -1\/12*p**5 + 0 - 2\/3*p**3 + 0*p + 0*p**4 - 4*p**2. What is the first derivative of g(m) wrt m?\nAnswer: -10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3386276 (base 9) to base 14\nAnswer: 358559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934031457.\nAnswer: 3, 31, 79, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -78165*f. Let u(q) = -187*q. What is 6*i(h) - 2509*u(h)?\nAnswer: 193*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58924.\nAnswer: 2, 14731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 2*i**2 - i - 2. Let b be (1\/(-3))\/(4\/24). Let g be f(b). Suppose -o + 165 = -g*o. Calculate the highest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u - 46. Let c(i) = 19*i - 69. Calculate 5*c(a) - 8*z(a).\nAnswer: -a + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j. Let u(p) = -p - 1. Let f(z) = k(z) - 2*u(z). Let y(t) = -1. Suppose 2*c + 18 = 3*c - 4*g, -4*g - 16 = 0. Give c*y(a) + f(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62.36 + 63. Let n = 0.64 - w. What is the nearest to n in -0.1, 1\/11, 0.5, 5\/4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, k: 2, m: 1, p: 3}. Give prob of picking 1 c and 1 k.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 12 = 4*a. Solve -n + a = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 5*z**2 - 2*z - 3. Let f be o(4). Let r(k) = -k**2 + 0*k**2 - 13863 + 13862 + 3*k**3 - 4*k. Is r(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168 - 374 - 21*q**2 + 20*q**2 + 206.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**4\/9 - 101024*n**3\/9 - 370244*n**2\/3 + 134640*n = 0. Calculate n.\nAnswer: -25245, -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x - 12. Suppose -3 = -25*g + 26*g. Let m be f(g). Let i(p) = -p**2 + 8*p + 5. Determine i(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1000110010?\nAnswer: 1000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8394 + 8183. What is the closest to i in 2, 1\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**4*m + 1415988*f**3*m**2 - 38*f**2*m**2 - 194613*f*m**2 wrt f.\nAnswer: 96*f*m + 8495928*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*a**3*v**3 - 5*a**3*v - 4*a*v**3 - 9*a - 2*v**2 wrt a.\nAnswer: 228*a*v**3 - 30*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21b6b (base 14) in base 15?\nAnswer: 193a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n - 4*f + 16 = 0, 5*n + 16 = 4*f. What is the third derivative of -6*y**5 + n*y**2 + 0*y**5 - 11*y**2 + 4*y**2 wrt y?\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85\/(-10)*(-22)\/1 - 5 and 42.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2973 (base 13) to base 9.\nAnswer: 8216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 10) in base 7?\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1166 and 18370.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8021890 divided by -80\nAnswer: 802189\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 5*u + 484. Does 24 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28409*4.2.\nAnswer: -119317.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in -120, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*m + 19. Suppose -2*v - 8*v - 40 = m. Which is the biggest value? (a) v (b) -5 (c) 1 (d) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -1717*d**6\/6 + 1201*d**3\/3 + d - 1361. What is the third derivative of k(t) wrt t?\nAnswer: -103020*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10*h. Let l be (-6)\/(-4)*(-40)\/(-15). Let k be 1\/l - 11\/(-4). Let o(y) = -y - y + k*y. What is -2*i(g) + 18*o(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 4:05 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -671 - -793. Let b(a) = -129*a - i*a + 250*a. Let h(m) = 27*m**2. What is b(h(w))?\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000241 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 22 + 1 - 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f - 39 + 99. Is 6\/((-6)\/f) - -5202 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1 + f**3 - 5*f**2 - 5*f + 4*f + 2*f. Let j be ((-2)\/(-7))\/((-18)\/(-1260)*5). Calculate h(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1267278 and 2323343?\nAnswer: 13940058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1170*l - 76. Is k(-2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + j)*(-8 + 8 + 10*j)*(4*j**2 - j**2 - 5*j**2).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -474304 - 0.\nAnswer: -474304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 w when three letters picked without replacement from {p: 1, s: 1, t: 2, w: 3, a: 6}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, -7, 19, 4 in decreasing order.\nAnswer: 19, 4, -7, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 37*w + 12*w + 27*y - 170 = -17*w, 3*y - 22 = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 858\/139 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 551905 and 112316.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by (((-1190)\/20)\/17)\/(1\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**3 - 231*b**2 + 4329*b + 4563 = 0.\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10448 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**3\/6 + 15*j**2\/2 + 6*j. Let h be d(10). Let k(p) = -p**3 + 7*p**2 - 6*p + 6. What is the units digit of k(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -252*t - 1019. Give z(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 9:16 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/1229 (b) 1 (c) 1\/3 (d) 2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 8. Let x = t - 0.07. Let n = x + 5.07. What is the closest to 4 in -0.1, 2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/4*(((-959)\/21)\/(-1) - (12 - -9))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4490, 18405, 41616, 74135, 115974, 167145, 227660?\nAnswer: 297531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/14490 and -52\/147105.\nAnswer: 6766830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10657 (base 9) to base 2\nAnswer: -1101110111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 57 - 5?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2*f = -50. Let b be (-126)\/(-1 + 4)*(-4)\/(-8). Let h be f\/(-6)*b\/(-7). Solve 2*v = h - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 4. Let j(g) = -2*g + 3. Let u be j(-5). Let x(k) = 5*k + 9. Let o(s) = u*y(s) - 6*x(s). Let n(z) = 8*z + 4. Give -6*n(i) - 13*o(i).\nAnswer: 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5563*d**2*g*m**3*v + 9*d**2*g*m**3 - 13*d**2*g*m*v + d**2*m**2*v - 162*d**2*m*v + 2*m**2 wrt m?\nAnswer: -33378*d**2*g*v + 54*d**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 - -82. Suppose t*u + 33 = i, 3*i - u - 107 = -0*i. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 7*k + 1. Give l(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3efb3 + 7?\nAnswer: 3efba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 74*j**7 - j**3\/3 - 212*j + 437. What is the third derivative of n(m) wrt m?\nAnswer: 62160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2 - 5*a + 2*a**2 - a**2 - 1. Suppose 9*g = 8*g + 5. What is the units digit of u(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.889978mg to tonnes.\nAnswer: 0.000000001889978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 138176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7955 divide 40921310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 155577348977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -672 + 926.1. Let b = p + -235. Round b to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1209 and 1032\/(-54) + (-148)\/(-333).\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + 4 - ((sqrt(192) - sqrt(192)*2) + sqrt(192))**2)*3.\nAnswer: 12 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 625, 1373, 2179, 3043, 3965, 4945?\nAnswer: 5983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 0*u = 432. Suppose -t = -4*t - u. Let d = 30 + t. Solve d*c - c = 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 10:44 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 43. Suppose 6*m = -f*m + 78. What is the greatest common factor of m and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*k**2\/7 + 40574*k\/7 - 634\/7.\nAnswer: 2*(k + 317)*(64*k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2157+0.448873947\nAnswer: -2156.551126053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 97, 155, 215, 277?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 607 - 596. What is the remainder when 64 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t**2 + 3*t**3 - 10*t**2)*(-1 + 1 - 2*t)*(-89*t + 25*t + 39*t).\nAnswer: 150*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12141 is divided by 184?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 1 = 5*g. Calculate the remainder when (247\/19)\/(-13)*(-117)\/3 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/3570 and 61\/1530?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcchkcgkkdccbgb. What is prob of sequence hc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655 is divided by 110.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267 - 274 + 839 + 2*j**2 - 259.\nAnswer: 2*j**2 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 12*b**2 - 20*b - 11. Let d be 9 + (4\/(-6) - (-10)\/15). Calculate the lowest common multiple of g(d) and 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 13) in base 4?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**5 + 7*t**3 - 6*t**2 = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 3:59 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11\/4)\/(1\/2) + -4. Which is the second smallest value? (a) -0.02 (b) -0.3 (c) 0.2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -3\/5 (c) 23\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8592\/(-2685)*(-44)\/64?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33484 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 83981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66331.94 millennia in centuries?\nAnswer: 663319.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17354982473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*n + 6. Suppose -3*k + 11 - n = 0. Let s(v) = v**3 - v**2 - v - 3. What is the least common multiple of s(k) and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13270 - -3146.4. Let h = g + -16398.40016. Let q = h + -18. Round q to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(36) - 2*sqrt(637))**2.\nAnswer: 21853\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 223426 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24048 divided by 282.\nAnswer: -4008\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 615, 4816, 16165, 38220, 74539, 128680, 204201?\nAnswer: 304660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*l + 4)*(-1237 + 634 + 1151)*(-l - 3*l + 0*l).\nAnswer: 4384*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 16 = 3*f - 4*h, 120 = -5*f + 4*h. Suppose 8 + 3 = -u. Is f\/u + (-2)\/(-11) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1037 + 32?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-13)*((-8)\/12 - 0). Put 4, i, -2\/7, -0.4 in decreasing order.\nAnswer: 4, i, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 + 1201\/12. Let h(j) be the second derivative of 0*j**2 + 2*j + 1\/3*j**3 - d*j**4 + 0. Let h(k) = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 3*t**2 - 4*t. Let n be f(-3). Suppose -15*v + n = -13*v. Solve 4*k = 5*b - v, -2*b - k = b - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, r: 7}. What is prob of sequence rkkr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*f - 3150 - 1985 = 1855 + 542 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1345 + 1377. Solve -t*x + 43*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/143 + 0\/(-7))\/((-108)\/234)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/935 and -3\/1496.\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**4\/12 + 2*h**3\/3 - 28*h**2. Let i = 3 - 0. Suppose 4*m - i*m = 4. Let n(y) = 2*y - 5. Determine m*c(r) + 3*n(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/(w**(-5)*w))\/(w**(3\/4)*w*w\/w**4))\/((w*w*w*w\/((w\/w**(1\/4))\/w))**10*((w*w**(2\/3))\/w)**31) assuming w is positive.\nAnswer: w**(-671\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 + (60 - 152) - (-16 - (3 - 2)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -64*r - 26. What is the remainder when f(-1) is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*n + 3*n - 5*n)*(4 - 2 - 4) + (0 + 2 - 1)*(0*n - 3*n + 2*n))*(4*n - n - 4*n) + (-122 + 122 + 22*n)*(0 - 2*n + 0).\nAnswer: -47*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**6\/480 + 11*h**5\/120 + 121*h**4\/96 - 7*h**2 - 2*h. Suppose a(r) = 0. What is r?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 863 = 971. Let w = b + 270. Solve -w - 7 = -5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67243 and 2893.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12) - (-4422)\/14070*25\/(-6)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -709268888\/3315 + 15623717\/255. Let h = 152677 + k. Let s = 54\/5 + h. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.68 + -11.9. Let f = -365991 - -3293921\/9. Is h smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4)*8\/(-7). Let h = 4 + -2. Let v be (-1 - (-1 - h))*1. What is the third biggest value in -2, j, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:02 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -447430965*i**2. Let t(n) = 2*n. What is s(t(r))?\nAnswer: -1789723860*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - z - 1)*(0*z + 0*z - 2*z**3) - 3*z + z**4 + 5*z**2 - 5*z**2 as g*z**4 + c*z + d + y*z**2 + k*z**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7158133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 8*o + 34. Let h be v(11). Let l = 16 - h. Calculate the remainder when l is divided by 4\/14 + 80\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3 + 15\/6). Suppose h + t*h - 395 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1.9, -1\/13, -0.1, -0.2?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -67, -79, -107, -157, -235, -347, -499?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.234 minus -14441696?\nAnswer: 14441696.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -0.82168 (c) 0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -47, -2 in descending order.\nAnswer: 4, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 4, m: 8, t: 2}. Give prob of picking 1 m and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 2)*(-3*u + 16*u - 28*u) in the form j + r*u and give r.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14568, 14557, 14532, 14487, 14416?\n\"Answer: -y**3 - y**2 - y + 14571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125390.\nAnswer: 2, 5, 12539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-30*20\/(-3120)*1)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30275 - 4a?\nAnswer: 30228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*v + 14 = 0, n + 15 = 4*v - 11. Suppose -h = 5*c - 12, -11 = -5*c - 1. Let q(r) = -6 + 6*r**2 - 12*r + r**3 + 6*r**2 - 6*r**h + 10*r. Give q(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/26)\/((-6)\/4). Let j be (7\/(-3) - -3)\/((-6)\/(-9)). Which is smaller: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 17795*m - 1135550.\nAnswer: -5*(m + 65)*(m + 3494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*h**3*l - 2*h**3 - 21*h**2*l - 5*l wrt h?\nAnswer: 60*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 4*p + 2*p + (3*p + 2*p - 4*p)*(4 - 6 + 0) + 4*p - 2*p + 0*p + (-35 + 46 - 28)*(-2*p + 2*p + p)*(-1 - 7 + 9) in the form q*p + l and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3*h = 11 + 16, 0 = -b + 2*h - 4 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 3*h - h)*(h - 3*h + 0*h) + 127207*h + 5*h**2 + 2*h**2 - 126589*h.\nAnswer: 9*h**2 + 618*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12718, -12592, -12470, -12352?\n\"Answer: -2*t**2 + 132*t - 12848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460 = -27*r + 23*r. What is the units digit of r - (1 - (1 + 2)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255869.7 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5598.756 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -619*w - 11284 + 5644 + 5641 + (0 - 1 + 0)*(-4*w - 2*w + 4*w) to the form t + p*w and give p.\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 3*i + 16. Let j(a) = 4*a - 2 - a**2 + 0*a + 20. Suppose 797 = 34*g + 933. Let o(k) = g*j(k) + 5*y(k). Calculate o(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ed + -3b42?\nAnswer: -3d40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 12049?\nAnswer: 12050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 2*t - 8. Let x be u(4). Let y be -2*(-3 - (-2 + x)). Solve -2*i - y = -10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*10.006.\nAnswer: -20.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + 6197*s + 1.\nAnswer: 6197*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 divided by 6039?\nAnswer: 161\/6039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97129, 97378, 97519, 97498, 97261?\nAnswer: 96754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191\/3 + -63. What is the nearest to y in 3, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -430, -851, -1270, -1687?\n\"Answer: g**2 - 424*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (2 - 4\/4). Which is the biggest value? (a) -3 (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18685 + -3694. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.804116 rounded to two dps?\nAnswer: -37.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -4*i. Let y(a) = -2*a**2 - 17*a - 8. Let r(j) = -j**2 - 11*j - 5. Let x(p) = i*y(p) - 8*r(p). Find the second derivative of x(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millimeter in micrometers?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8901992.4 + 132.\nAnswer: 8902124.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*h + 4*h. Let q(p) = 12*p**2 - 1. Let w be q(h). What is the highest common divisor of w and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3722235 less than -3722232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -474 divided by 158?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1472, 1539, 198, -2551, -6708?\n\"Answer: -704*m**2 + 2179*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/7)*j**(-12))**33 assuming j is positive.\nAnswer: j**(-2904\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1941, -1917, -1893?\n\"Answer: 24*l - 1965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c = -32*c - 30, -2*p - 5*c + 319203 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3368*v**4 - 25346*v**3 - 341296149*v wrt v.\nAnswer: 40416*v**2 - 152076*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 20. Let z = h - 18. Let j = z + 11. Which is the nearest to -0.1? (a) -0.4 (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 89 = -r, -r = -5*r + 5*p + 271. Let w = r - 49. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**2\/2 + 16*d + 8. Let v(r) be the second derivative of 3\/2*r**2 + 2*r + 0. Calculate 11*v(g) - 2*w(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 62*b**2 - 557*b + 43824. Determine h(64).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2 - 5*q + 7*q**2 + 7 + 0*q. Let a(k) = -4*k**2 + 3*k - 3. Calculate 5*a(l) + 3*t(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -902 - -905. Solve -s*w + 3 = 0, 4*a + 10 = 7*w - 5*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-1 + 1 + 21). Let b = -19 + m. Let w(r) = r**b - 7 + 7. Calculate w(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2. Let v(w) be the third derivative of -w**7\/315 + 13*w**4\/8 + 5*w**2 + 1. Let s(b) be the second derivative of v(b). Calculate r(s(u)).\nAnswer: 192*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 + -2. Suppose -3*a - 159 = -6*a. What is the remainder when i is divided by a?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 660\/7. Let o = -0.0418 - -0.5418. Which is the biggest value? (a) o (b) n (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25385941403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 8, 0.09, -0.01, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g + 290. What is q(-28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -852 + -93?\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(100))\/(sqrt(50)\/(1*sqrt(10))) + (sqrt(80)*4 - (-3 + sqrt(25)\/sqrt(5))).\nAnswer: 3 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g - 7. Let q be d(-5). Suppose -w = -q*w + 20. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -207*s**8\/56 - s**4\/24 + 4*s**3\/3 - 783*s**2. What is the second derivative of c(y) wrt y?\nAnswer: -24840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8659177m to centimeters.\nAnswer: 86.59177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*r + 16178 = -7*r, 0 = -5*x + r + 80862. Suppose -10*l - x = -97752. What is l rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211647520 divided by -28280?\nAnswer: 7484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -85 and 616?\nAnswer: -52360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + d - 18 = 3*d, 3*v - 2*d = -18. Let u(b) = 3*b**2 + 8*b - b**2 + 2*b**2 - 3*b**2. Calculate u(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3930, 15 in descending order.\nAnswer: 3930, 15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 183330454 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9) - (-90)\/(-15))*153\/68.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - (1*sqrt(133) + sqrt(133))*-3) + sqrt(133))\/(sqrt(84)\/(-2*sqrt(12)))*6)**2 - (sqrt(228)*3*-5)\/(3*sqrt(1452)).\nAnswer: 5*sqrt(19)\/11 + 175104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/9, -2\/5, 0.04, -0.175 in ascending order.\nAnswer: -1, -2\/5, -0.175, 0.04, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/5 + -4 - 2. Suppose -l + 2*y = 4, -2*l - u*y + 24 = l. Solve 4*x = -5*z - 45, -l*z = -9*z + 5*x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 26*k + 22. What is j(-25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 8 - 4)*((-3*u - 5*u + 6*u)*(-2 - 5 + 5) - 42*u - 16464 + 16464).\nAnswer: 646*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1434 and 19598?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 3*d. Let n(a) = 10*a**2 - a - 1. Suppose 3*x = 3, 7 = 4*g - 7*g + 4*x. Calculate the remainder when c(3) is divided by n(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4095 + 24461\/6. Calculate the common denominator of 64\/21 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 = -7. Suppose m*l = -2*z + 32, 4*z + 2*l - 74 = -z. Suppose -3*i - 2 = -z. Let f(c) = c**3 - 4*c**2 - 5. Determine f(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1353 and 101079?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.2. Let p(l) = -l - 1. Let z be p(-1). Suppose 5*f = -z*f + 25. Which is the second biggest value? (a) f (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 - -64. Let b(g) = g**2 - 19*g - 10. Let v be b(n). What is the highest common divisor of 40 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 2555641620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*i - 1706 - 916. What is the least common multiple of i and 12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 193 in 35, -15, 3, 23?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, z: 7, t: 2, s: 6, c: 1}. What is prob of sequence ssz?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(300) + sqrt(300) + 1) - (-6*(sqrt(108) - (1*sqrt(108) + sqrt(108))))**2.\nAnswer: -3892 - 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210340 + -424?\nAnswer: -211314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1963, 3755, 5547, 7339?\n\"Answer: 1792*v + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 35*f**2 + 17*f + 288. Let j be i(-36). What is the highest common divisor of 1836 and j?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 29\/4, -0.2, 127, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*r + 18, 3*w = -r - 8 - 15. Let i(j) = -j - 6. Let g(m) = -3*m - 19. Let t(h) = -6*g(h) + 17*i(h). What is the units digit of t(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -671006949 + -1.9989?\nAnswer: -671006950.9989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(-14))\/(2\/12). Let r(c) = c**3 - c**2 + c + 1. Suppose t + 15 = -2*t, -2*t = 5*w - 50. Calculate the remainder when r(j) is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -6799042, -1 in increasing order.\nAnswer: -6799042, -1, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*o + 16*o + 132*o - 17 + 207*o + 23.\nAnswer: 477*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106537626 and 8195202?\nAnswer: 106537626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(720)*1) + 1*(sqrt(114)*-1)\/sqrt(6))**2.\nAnswer: 2299\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (50\/3)\/(8\/12). Suppose -5*i + o = 0, 2*i + 15 = y + 4*i. Suppose -y*s = 5*x, 5*x + 5 = -2*s - 1. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1007*p**2 - 4048*p + 73. Determine j(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 187\/728 + 3\/104. Let q*m**2 + 6\/7*m + 4\/7 = 0. Calculate m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4. Let o = 14 + -7. Let t = 10 - o. Solve -i - t*i + 4 = a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 99*l. Let x = 622 + -623. Let t(o) = o. Let j(n) = x*y(n) + 66*t(n). Let q(r) = r - 3*r + 5*r. Give j(q(b)).\nAnswer: -99*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m. Let u(l) = 4799*l**2 + 15466. Calculate q(u(j)).\nAnswer: 9598*j**2 + 30932","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2097*b**2 + 2120*b**2 - 12618*b**2 + 2099*b**2 + 2106*b**2 + 2098*b**2 + 2105*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -63*k - 884. Let o be a(-14). Suppose 10 = 5*w - j - 2*j, 2*j = 3*w - 6. Let y = 2 - -3. Sort w, y, o in descending order.\nAnswer: y, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7981 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 7) + 10 + -12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 3. Suppose -3 = 3*n + 9. What is the units digit of l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 32, -1, -4, 2 in ascending order.\nAnswer: -10, -4, -1, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39825, 159384, 358677, 637704, 996465, 1434960?\nAnswer: 1953189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -274 - -5481\/20. Let c(v) be the second derivative of -v + 0 + 0*v**3 + 0*v**4 + v**2 - f*v**5. What is the first derivative of c(o) wrt o?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4115.914 micrometers in kilometers?\nAnswer: 0.000004115914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*v = 5, -4*w - 4*v + 2*v + 2 = 0. Suppose -o - o = w. Suppose o = -q + 4, -5*q + 45 = t + 4*t. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-20) - (-104)\/5. Let l = w - 3. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -50*h**3 - 13*h**2 + 5. Let g(c) = c**3 + c**2 + 1. Let u(w) = d(w) - 6*g(w). What is the third derivative of u(k) wrt k?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21724*(25\/20)\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -665 - -717. Let i = q - 51.9623. What is i rounded to 3 decimal places?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 474187, 474184, 474181, 474178, 474175?\n\"Answer: -3*a + 474190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n + n - 1 + 2*n + 1 + (-3*n + 2*n + 2*n)*(3 + 0 - 1) - 4 + 4 + n - 71*n - 179*n - 290*n - 242*n.\nAnswer: -776*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 30b?\nAnswer: 30c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 2*v**3 + 205*v - 206*v.\nAnswer: -v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123222112033 + 0?\nAnswer: 123222112033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1424*i**2 - 155*i + 476. What is the ten thousands digit of m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -387 - -393. Suppose -5*f - 4 = v - 0, -3*v + 3*f = -y. Sort v, 4, -1 in descending order.\nAnswer: 4, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69861427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/10*1*20. Let p(o) = -11*o**2. Let s(c) be the second derivative of c**4\/3 + 10*c. Calculate q*s(w) - 3*p(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 448, 1, 3, -5, -2 in descending order.\nAnswer: 448, 6, 3, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Let h(i) = 1. Determine -3*a(v) - 2*h(v).\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -525593, -1051834, -1578077, -2104322, -2630569?\n\"Answer: -z**2 - 526238*z + 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 0, 3*g + 30 = -5*r - 0. Let q(p) = p**3 + 7*p**2 + 6*p + 1. Let i be q(r). Let x = -0.333 + 30.333. Are x and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2 + (-828)\/24)\/(-14 - -16)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**3 - s**2 + 3*s**2 + 10*s**3 wrt s.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, p: 1, m: 2, h: 1, d: 2, f: 2}. What is prob of sequence lpdh?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/4 (b) 4 (c) 1\/3 (d) 0.5 (e) 20790\/19 (f) -4 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*c = 0. Suppose c = -2*a + 124 + 140. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27928 divided by 3491\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83576\/35 + 11938\/5. Suppose -144 + 36 = -4*s. Let w = s + -82\/3. Which is the nearest to k? (a) 1\/9 (b) w (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 14. Let a be q(-9). Solve -5*t = -2*g - 5, -3*t - 4 = -a*t + g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 3.292.\nAnswer: 0.9876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 16*r. Let m = -49 - -33. Let z be a(m). Solve 2 = j - 3*j - 2*x, 4*j - 5*x - 14 = z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7 + 6 + 9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-10) + 3 + 1047\/10. Let c = 94 - m. Find the common denominator of c and (0 - 2)*121\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7.2. Let k = -0.05 - 3.95. Put -1\/2, w, k in descending order.\nAnswer: w, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -1.3 (b) -1\/2 (c) 0.02 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 + -1 - 1)\/(1 + -5) and -63\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 9*n - 5. Let p be r(-8). Let q(y) = -y**2 + 7*y. Let f be q(p). Let m = -8 + f. Which is the smallest value? (a) -0.1 (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-36)\/8)\/(-9)*(-80)\/100. Let p be ((-3)\/2 - 0)\/3. What is the third smallest value in p, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-1 - 14 - -26)) + 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 25*w**2 - 46*w**2 - 13*w**2.\nAnswer: -82*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 3136?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1505 = -8*a + a. List the prime factors of a.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55403*g**5 + 166*g + 154.\nAnswer: 1108060*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 4*o**2 - 2*o - 1. Let s be d(3). Suppose s*q + 2 = 4. Let p = q - 0. Which is smaller: 2\/11 or p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -32*h**4 + 12834*h**3 - 12940*h**2 - 265422*h + 568800 = 0?\nAnswer: -79\/16, 3, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1252.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 - 96. Calculate the remainder when 109 is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30461601 is divided by 290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 6, -1.4, 1\/6 in decreasing order.\nAnswer: 6, 1, 1\/6, -1.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t - y + 6 - 363 = 0, -t = -y + 21 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 2.6, 5\/3, 0.1.\nAnswer: -1, 0.1, 5\/3, 2.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3 - 20600*x**2 - 82412*x - 82416 = 0.\nAnswer: -2, 20604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, -2\/5, -6, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 755*i + 269*i + 1000*i - 263*i = 262389 for i.\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1959 by -653.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8323.845 millilitres in litres?\nAnswer: 8.323845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -1, 43\/3, 2\/3, -0.5?\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 179.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8*(h\/(h\/(h**(-4)\/h*h*h)))\/h*h)\/(h**(-2))**(-25) assuming h is positive.\nAnswer: h**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**6\/144 + 3*u**5\/20 + 17*u**4\/24 + 2*u**2. Let o(t) be the second derivative of a(t). Differentiate o(c) wrt c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from {k: 13, q: 3, g: 2}.\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 7. What is the greatest common divisor of h and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l + 34264. Let v = -51275\/6 - l. Let y = -1310\/13 - -12177\/130. Find the common denominator of v and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + f - 2*f)*(-4 + 1 + 4) + (3 - 3 + 2)*(-4*f + 8*f - 16*f) + 2 + 2*f - 2.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/3 + (-8)\/(-2). Suppose -2*i + i = 2*m - 56, 4*m + b*i = 112. Suppose 0 = s + 3*s - m. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6114 times -205?\nAnswer: -1253370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4\/k*(k**(1\/12)\/k)\/k)**(-31) assuming k is positive.\nAnswer: k**(-403\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 9*v - 28. Is 8 a factor of o(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 4*k**2 - 18*k + 12. Let u(y) = -5*y**3 - 14*y**2 + 73*y - 49. Let i(n) = -9*d(n) - 2*u(n). What is i(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 4, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from {t: 5, b: 1, a: 5, s: 2, p: 6}?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -36*(-2 - 2) + 3\/3. Suppose 0 = 148*y - u*y - 387. List the prime factors of y.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 65 + 16 - 30 + 75*s wrt s?\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6243*q + 6396*q + 5049 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(76))\/sqrt(4)*-2 + -5)*2.\nAnswer: -4*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -21, -42, -81, -144, -237, -366?\n\"Answer: -t**3 - 2*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19194 = 924*z + 14733 + 16435 + 1382 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-1))\/(-3) - -4. Suppose -p = -r*p + 8. Find the second derivative of -m**4 + 3*m**4 - 2*m - p*m**4 wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3 + h - 3*h - 2. Let g(s) = -s**3 - 12*s**2 - 13*s - 24. Let l be g(-11). Let b(k) = 8*k - 4. Calculate l*b(p) - 9*n(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0141384091 rounded to 4 decimal places?\nAnswer: -0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -2. Suppose -24 = -7*b + 4*b - x, -2*b + 3*x + 5 = 0. Let f be 52\/90 - (-28)\/(-35). What is the second smallest value in g, b, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**6\/70 - 24*w**5\/35 + 78*w**4\/7 - 64*w**3 + 168*w**2 + 237*w. Solve j(t) = 0.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 47*v**2 + 279*v - 39. Calculate x(14).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 17*h = 189. What is the remainder when h is divided by 1*(6 - -2 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*l**3*t**3 - 21*l**3*t**2 + 17*l**3 + 23*l**2*t**3 - 15*l*t**3 - l*t**2 + 125*t wrt t.\nAnswer: -66*l**3 + 138*l**2 - 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 + -157. Calculate the smallest common multiple of y and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z = -43*z + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-6)\/2)*-1. Suppose -10 = -3*j + 2*t + 10, 5*t + 32 = 3*j. Suppose r = 2*f - j*g - 4 - 26, 0 = -g - 5. Solve -5*s = -f - 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(8\/5)*l**(-6\/13) assuming l is positive.\nAnswer: l**(74\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 - 9 - (2 + 2\/1). Let i = 44 - 45. Let v be 0 - (15\/2)\/3. What is the nearest to i in l, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271556 + 31.95.\nAnswer: -271524.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 3*s + 7. Let r be z(0). Solve r*i = -26 - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 235*a - 55. Let h be p(2). Solve 2*x + h = 405 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxmmmaxaaua. Give prob of picking 1 a, 1 m, and 2 x.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*-1 + (-6)\/(-3). Let a(m) = -22*m + 6*m + 2 - 1. Is a(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*u - 1015, 852 = -4*f - 5*u - 532. Let v = f - -954. What are the prime factors of v?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.4312 (c) -0.3 (d) -5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 66912, 0, -0.4?\nAnswer: 66912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-4) + -12)*-1. Suppose -n = -5*q - 6 - 8, -5*n - 3*q + k = 0. Suppose -5*o + 739 = -5*l - 2641, -3389 = -5*o - n*l. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:39 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20673 - 20673 + 423*l**3 + 1983*l**3 - 442*l**3.\nAnswer: 1964*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322175.\nAnswer: 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -143*m + 1. Let p be x(-1). Suppose 3*j + j = p. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -220 - 8?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 35, -20, 3, -5 in descending order.\nAnswer: 35, 3, -5, -20, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = a - 4, -11 - 17 = 4*a + 3*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9492.571 years?\nAnswer: 94.92571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4854 - 4855. Which is the biggest value? (a) -205 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-2)\/(-2)*2). Let k be (i - 2) + 0 - -337. Let w = 3666\/11 - k. Calculate the common denominator of w and 52\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) -690\/7 (c) -1\/3 (d) 0.03 (e) -0.5 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 + -81.14. Let g = -0.6 - -1.1. Put -0.2, p, g in descending order.\nAnswer: g, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3888\/(-16))\/(-9)*(400\/30)\/(-20).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 281 or -4010?\nAnswer: -4010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133768 - -17900125.\nAnswer: 17766357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i + 180*i - 200*i + 13*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 377.3, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/9)\/((h\/(h*(h*h**(-1\/3)*h)\/h*h))\/h))**37 assuming h is positive.\nAnswer: h**(962\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*g)*(g**3 - g**3 + 2*g**3) - 2*g**4 + 0*g**4 + g**4 + 2*g**4 - 3*g**4 + 0*g**4.\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bf3 - 1?\nAnswer: bf2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2301 and 354?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-64) + 17\/(-4). Which is bigger: l or -10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in nine tenths of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 864149, 864146, 864143, 864140, 864137, 864134?\nAnswer: 864131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(325) - sqrt(325)) - sqrt(325).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 7. Let v be (2\/i)\/(1\/15). Let h = 42 - v. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 2588*o**2 - 419900*o + 417316.\nAnswer: -4*(o - 323)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 22*i**2 + 22*i - 18. Let w be z(21). Let p(m) = -14*m**2 - 8*m - 8. Let f(g) = -5*g**2 - 3*g - 3. Give w*p(x) - 8*f(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3000 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 26*w + 32. Let k be g(14). Solve -k*r = -3*d + 19, -5*r - 3*d - 6 - 11 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzrggggrz. What is prob of sequence rzr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 + -56. Let p be 12\/h + 15\/(-25). Let b(k) = -k - 4. Determine b(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 2:19 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16905 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2371111 micrograms in grams?\nAnswer: 0.0000002371111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3. Let s be (-1 + -1)\/(6 + -5). Let a = 5 + s. Sort a, d, 1.\nAnswer: d, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3447*-14836.\nAnswer: -5113.9692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 313443 (base 6) in base 9?\nAnswer: 37810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 446647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4*b = 0. Let c(k) = -k + 15. What is c(b)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 32.2\nAnswer: 193.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3303, -13045, -29281, -52011, -81235?\nAnswer: -116953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/95*-1*3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*f + 25, -26*u + f - 2 = -28*u. Suppose -2 + 7 = p. Solve -u*z + 7*z + 4 = -2*a, p*a + 4 = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1547993.97ns?\nAnswer: 0.000000017916596875","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor 408\/5*v**2 + 246*v + 0 - 2\/15*v**3.\nAnswer: -2*v*(v - 615)*(v + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {s: 1, z: 2, e: 7}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 65095439413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-33)\/((-18315)\/(-2479))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28227 from -996946.\nAnswer: -1025173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43222, -42725, -42228, -41731?\nAnswer: -41234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 30819*q**2 - 18*q - 17. Is g(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.048 - 4.048. What is the closest to -1 in f, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 4*p + 62. Let a be s(6). Factor 4\/5 + 6\/5*j + 2\/5*j**a.\nAnswer: 2*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -369, -730, -1089, -1446, -1801, -2154, -2505?\nAnswer: -2854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8 - -3)*1)\/((-10)\/1010)?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 0. Let k = y + 1. Let s(j) be the first derivative of -j**4\/4 - 2*j**3\/3 + 2*j**2 + j + 35053. Give s(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3\/13 + 294*l**2\/13 + 3312*l\/13 + 9720\/13 = 0 for l.\nAnswer: -135, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 140 + 156 = 0. Suppose o*w = -492 + 836. Calculate the remainder when w is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 6. Let m be c(-4). Suppose -6 = -2*z + m. Solve -3*x - 7 = -5*v - 2, 4*x = z*v + 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 7*m**2 + 8*m - 8. Let q be j(6). What is the tens digit of -2 + -2 + q - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -1\/15*l**5 + 0*l - 3*l**2 + 1\/60*l**6 + 0 + 2\/3*l**3 - 1\/12*l**4. Suppose j(h) = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691984 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -98054 bigger than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7901 is divided by 6843.\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21705 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2074856.6766969453 - 478656244.3233030347. Let i = 480731097 + h. Let t = -4 - i. What is t rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q - 659 = 33*q. List the prime factors of q.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/2 (b) 0 (c) 2 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.034632 * -9\nAnswer: 0.311688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 127180, 127171, 127156, 127135, 127108, 127075?\n\"Answer: -3*k**2 + 127183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -37 - 14. What is the third derivative of 5*s**3 + b*s**2 - 110*s**2 + 47*s**2 wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3436 + 2944 = 0. Let k = -12681\/8 + s. Let o = -4\/455 + 3579\/455. What is the common denominator of o and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68883695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13440.546 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 375 - -0.8.\nAnswer: 375.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2818 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 5*i + 4*j, 0 = -i - 0*i + 2*j + 19. Suppose -i = -4*q - 5. What is the least common multiple of 11 and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 4*t - 10 = 0, 35*t + 1 = -3*q + 37*t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33000 and 3317.\nAnswer: 109461000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/14, 4.74, 0.2, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + 2)\/(-6) + (-13 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njn when three letters picked without replacement from {n: 3, j: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 22, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -2022?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -403440, -403453, -403468, -403485?\n\"Answer: -q**2 - 10*q - 403429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 10 - 5. Suppose -k - 4*v + 59 = 0, n*v - 70 = -2*k + 7*v. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 0. Suppose -9*j + 6*j - 19 = -5*m, 3*j + 1 = -4*m. Which is the nearest to -2? (a) j (b) 0.03 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 12. Let r(g) = -g**2 - 6*g - 2. Let n be r(h). Let o be 3\/8 - 11956\/(-1568). Solve 0 = -n*z + t + o, 2 + 9 = 3*z + 2*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.4 and 1.9.\nAnswer: -6.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4711 + 0.2711. Put -3\/5, -2\/71, -0.4, h, 1\/7 in descending order.\nAnswer: 1\/7, -2\/71, h, -0.4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**6\/105 - x**5\/35 - 5*x**4\/42 + 2*x**3\/7 + 32*x. Determine h so that k(h) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Let z(g) = -42*g**2 + 5*g + 2. Determine -5*j(y) - z(y).\nAnswer: 42*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 7982.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44558 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 2*n**2 - 11*n - 10. Let r be m(-4). Suppose -r*a + 3*d + 24 = 0, 3*a + 1 = -4*d + 3. Let k(x) = x**3 - 7*x**2 + 9*x - 9. What is k(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.02 - -0.02. Let o be ((-4)\/(-70))\/((-7)\/(-35)). What is the nearest to o in 0.4, c, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 433097849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 3. Let v = -644 + 646. Let x(d) be the second derivative of d**3\/2 + 3*d**2\/2 + d. Calculate v*y(k) + 3*x(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2940 and 83\/44100.\nAnswer: 44100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*r**2 + 2*a**2*r + 3*a**2 + 29*a*r**3 - 22*r**2 + 201*r wrt r.\nAnswer: -2*a**2 + 174*a*r - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 142500037 = -5*b, 17 - 1 = 4*f. Suppose -5*i + 3*h = -0*h - b, h = -3. Round i to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + -1105034?\nAnswer: -1105052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*x + 8*x**3 - 173*x + 0*x**3 + 84*x.\nAnswer: 8*x**3 - 23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2)*(7848*z**3 - 9068*z**3 - 10530*z**3).\nAnswer: -11750*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34959 and 29154?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + -5 + (-1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11916071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {k: 1, a: 6, y: 2, e: 2}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 23?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 113310000030 (base 4) to base 2\nAnswer: 10111110100000000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(5 + sqrt(1331)))**2 - (sqrt(1331) + -3*-5*sqrt(1331))**2) + -4.\nAnswer: -339384 + 110*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 24 = 3*b. Solve -b*r + 2*r = 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.2 (b) -4 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 10 = v, -2*h + 9 = 4*v - 1. Let m = h - -10. Solve -13 = 3*y + m*j, -y + 4 - 1 = -2*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/13, 1, 1.3, 8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -27, 32, 10, -1 in ascending order.\nAnswer: -27, -1, 2, 10, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = d + 11, -2*d - 5*f - 73 = d. Let t be d\/9 - 6\/9. Is -3 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -7*p - 8. Let d be (2\/p)\/((-1)\/4). Suppose 0 = -2*f + 7 + 3. Which is the second biggest value? (a) 2 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**7\/4725 + 7*k**6\/5400 - k**5\/450 + k**4\/8 - 3*k**2. Let z(t) be the second derivative of c(t). Solve z(x) = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*h**3 - 4 + 8 - 40*h**3 - 6*h**3.\nAnswer: -24*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 15*q. Suppose p = 5*u - 1 - 10, q = 4*u + p - 7. Put -4, -5, -3, u in ascending order.\nAnswer: -5, -4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 229560 - 234025.18. Let p = -4335 - r. Let z = p + -129. What is z rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 110 = -10*b. Let a be ((-30)\/(-8))\/(3\/112). Suppose k - 6*k = -a. What is the remainder when b is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y + 520*y + 19924 = -93*y for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1657 divided by 7.\nAnswer: -1657\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-5 + -11 - -12 - (-4 + 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -9*q + 202. Let v = -80 - q. Let x = -21 + v. Solve x = -5*g, 4*t + g + 2*g = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/8 - 1\/(-4). Suppose -a*l + 144 = -l. Suppose -5*u = -4*s + 2*s + l, 0 = -s - 2*u + 27. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 15 = -i. Is (3961 - -1) + (i - 9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 129*f + 61*f - 5688 - 2952 for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -1488, -4942, -11670, -22764, -39316, -62418, -93162?\nAnswer: -132640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -806 - 605 = -17*n. Let m = 86 - n. Solve -3*z + 7 = m*q - 2, -4 = -2*q - 4*z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (73*m - 178*m - 28*m)*(m**2 + m**2 - 4*m**2) + (0 - 2 + 4)*(4*m + m**3 - 4*m) to z*m + t + u*m**2 + o*m**3 and give o.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949 is divided by 122.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27515 + 0.129018721.\nAnswer: 27515.129018721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -866*k + 29. Let t(y) = -864*y + 27. Let z(j) = -2*m(j) + 3*t(j). Is z(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 5:44 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 2)*(-4*x + 6*x + 0*x)*(3 - 3 - 1) + 7828*x - 14264*x + 7470*x to r*x + j and give r.\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -3 - (-1 + 238). Calculate the common denominator of 91\/10 and 406\/p - (-4 - (-40)\/12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61159838477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(200) + -1 - sqrt(200)) + 5 + -3) - 6*(((-1*sqrt(80) + sqrt(80))\/sqrt(8))\/sqrt(5) + 3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s - 6 = 0. Suppose -51 = -s*q - 0*q. Solve 4*l = 4*p, -p + q = 4*l - 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2aaa - 0?\nAnswer: -2aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/856 + 20095\/17976. What is the common denominator of 19\/42 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23\/(13\/4 + -3). Suppose 0*x + 4*x - n = 0. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4501\/1110 - 41\/185. Sort -2\/9, d, -1.5, -5 in decreasing order.\nAnswer: d, -2\/9, -1.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.29 + 183903755\nAnswer: 183903758.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 1:10 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -286*a + 15734. What is l(55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 168646970.358 and -0.1?\nAnswer: 168646970.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 3\/7, -1, -0.02, 5, 111.\nAnswer: -1, -0.02, 2\/7, 3\/7, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*g - 1 - 48*g + 385*g + 1 - 257*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o\/(o**(2\/15)\/o)*(o\/o**3)\/o**(-8))\/((o*o\/((o**(4\/5)\/o)\/o*o))\/(o*(o*o**(-5))\/o*o))**20 assuming o is positive.\nAnswer: o**(-1427\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -67. Suppose 0 = -4*y + p - 4. What is the remainder when ((-4)\/10)\/((-30)\/2325) is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/5)\/((-5)\/240). Let d = p + 124. What is the second smallest value in d, 1, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 minus -4.07?\nAnswer: 5.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*d + 180*d + 83*d + 150*d - 410*d + 174*d.\nAnswer: 347*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 328 and 1?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 7:17 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1435 - -1434.8. Which is bigger: u or 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73097665 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48553*s**6 - s**4 + 103*s**3 - 268*s**2 - 76493 wrt s.\nAnswer: 5826360*s**3 - 24*s + 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v**3 - 32*v**2 + 3*v - 11. Let w(p) = p**3 + p**2 - p + 2. Calculate d(y) + 3*w(y).\nAnswer: -4*y**3 - 29*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v + 3 = 0. Let m be (v\/2)\/(11\/154). Does 7 divide 35 + ((-4)\/(-2) - (9 - m))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(63)\/(-1*sqrt(36)))**2.\nAnswer: -2*sqrt(7) + 23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240\/(-280)*(7 - (-12838)\/(-6)) is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2598 + -2598.000939. What is i rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/2 + 35*r**2\/2 - 323*r\/2 + 289\/2.\nAnswer: -(r - 17)**2*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7869177.08 rounded to the nearest ten thousand?\nAnswer: -7870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -5, 40, -141, 1 in decreasing order.\nAnswer: 40, 5, 1, -4, -5, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9162?\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 337?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i. Let f be (-1)\/6 - (-105)\/(-18). What are the prime factors of l(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 10) in base 11?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4*a + 5*a)*(0 + 0 + 2*a - 8*a + 3*a + 11*a + (1 + 1 + 0)*(3*a - 2*a - 2*a) + 5 - 4 + a + 1) + (4 - 1 - 2)*(-8*a**2 + 40*a - 40*a).\nAnswer: -15*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1413411?\nAnswer: 3, 471137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1254356, 2508718, 3763070, 5017406, 6271720, 7526006?\n\"Answer: -f**3 + f**2 + 1254366*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.72 minus 0.001?\nAnswer: 2.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, n: 1, v: 1, f: 4, j: 4}. What is prob of sequence ffv?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.64 and 2.1.\nAnswer: -16.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 13337633128865?\nAnswer: -13337633128863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/8 + 489*n - 159414.\nAnswer: -3*(n - 652)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47*k + 91*k + 25 - 99*k**2 + 2*k**4 - 52*k + 279*k**2 - 265 + 66*k**3.\nAnswer: 2*(k - 1)*(k + 2)**2*(k + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79092 divided by -169.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/1436 and 97\/2.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -4 (c) 3 (d) 1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1251 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2544 - 2323. Is d a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, e: 4, k: 1, t: 2}. Give prob of picking 1 k, 1 e, and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81451 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 136, 615, 1614, 3319, 5916, 9591?\nAnswer: 14530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5434 and 5434.\nAnswer: 5434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2022, 2030, 2038, 2046, 2054, 2062?\nAnswer: 2070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzrr when four letters picked without replacement from {r: 9, z: 11}?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - 1 - (3 - 0). Let w be ((-3)\/p)\/(26\/8 + -3). Let x be (-14)\/(-6) + w\/9. Let j(m) = -m**3 + 3*m**2 - 2*m - 2. Calculate j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 16*m - 15*m - 504, -4207 = -8*m + a. Calculate the remainder when m is divided by 3808\/36 + 2\/9.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*f + 236*f - 661*f - 121695 = 0 for f.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 8. Let b be 46\/(-10) - n\/(-5). Let p(d) = -d - 6. Let h be p(b). Is -0.4 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (4 + -13 + 1 - (-47 - -37))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/32))**(25\/2))**(-11) assuming n is positive.\nAnswer: n**(275\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5220.332 litres to millilitres.\nAnswer: 5220332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*q - 2*q + 3*q - 12 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 88*x**2 + 87*x + 164. Give j(89).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29731*c = 29748*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 2. Let o = -19 + 48. Suppose 0 = 4*s + 5*g - g - 36, -b*s + o = g. Calculate the greatest common divisor of 10 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 2*3*(-17)\/561*-1639. Which is smaller: -11 or k?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 7:54 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22441 + -12141. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(13) - (sqrt(13) - sqrt(468)*-3)) + sqrt(91)\/(6*(sqrt(42)\/sqrt(6) + sqrt(7))).\nAnswer: -215*sqrt(13)\/12 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 863820000 to the nearest one million.\nAnswer: 864000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 407981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 4. Let a(t) = 122*t**2 - 61*t**2 + t - 62*t**2. Let s(b) = 64 - 64 - b**2 - 3*b**3 + 5*b**3. What is f*s(i) + a(i)?\nAnswer: 2*i**3 - 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101000200 - -121220?\nAnswer: -100101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjjejgjegegj. What is prob of picking 3 e?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 195\/3*-5 + -1. Let j = -156 - b. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135693.3 - -135693. Let q = 1.1 - -3.9. What is the nearest to 1.8 in -3, z, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 209544295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03699*0.1.\nAnswer: 0.003699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 10 - 7)*((-c + 4*c - 2*c)*(5 - 2 - 2) + 1 - 1 - 2*c - 4 + 4 - c).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2025 - 2023. Let b(r) be the first derivative of r**3 + 22 - 7\/4*r**4 + 0*r**k - 3*r. Let y(f) = 34*f**3 - 14*f**2 + 14. Calculate -14*b(d) - 3*y(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/126 + (31\/(-133) - 21\/399).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*(-1 - -3))\/((-5)\/(-230)). Suppose -g + c = -5*g + 386, 0 = 2*c - 4. Let l = g + t. Solve -l - 16 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(35)*2*1)\/(-2*(sqrt(720) + sqrt(720)*1)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and -180.181.\nAnswer: 23.42353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.1 - 1.9. Let n = -17 - y. Which is the nearest to 1\/2? (a) 0.1 (b) -0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 542672.3 micrograms?\nAnswer: 542672300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 936 and 13908.\nAnswer: 1084824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 17*j**2 + 2*j - 2. Is s(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 5*d**2 - 9*d - 15. Let i be t(-6). Is 4\/(i*(-6)\/9) - -321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.878 - 0.178. Let l = 31.7 - a. Let p = -17.99999856 + l. What is p rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -8, 0 = p + 2*p - 2*s - 5. Let g = 7 - p. Calculate the remainder when 13 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = -3*v + 968, -4*a - 319 = -v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q**2 - 6*q**2 - 7*q**2 - 27*q + 14*q**2 to u*q**2 + b*q + m and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*z - 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2002 + -120?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9 and 0.03666.\nAnswer: -8.96334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 261 and 673066539?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1055\/(-30) - (-6 + (-390)\/(-90) + 1\/2).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 200874 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 + 8*b**3 + 20*b**3.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -198 and -408335.\nAnswer: -408533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5299 - 28?\nAnswer: 5271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -4. Suppose 0 = 4*r + o*k - 10, 5*r - 4 = k + 12. Suppose -4 = -r*f - f. Is 1 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 8*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 577349 (base 13) to base 8\nAnswer: 7717423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 120*z**2 + 80*z + 71*z + 4 - 152*z.\nAnswer: 120*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72782942 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3661 - -0.7661. Let j(i) = -i**2 - 7*i - 3. Let o be j(-6). Which is the closest to -1? (a) o (b) d (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1904298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21875425 a multiple of 1206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 16746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 12:47 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.057 and 2104?\nAnswer: -119.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*h**4 - 509556*h**3 - 14923744*h**2 - 109384000*h.\nAnswer: -4*h*(h + 14125)*(3*h + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6*p*(p\/(p**(-2\/15)*p))\/p*p)**(-13\/4)*(p\/(p*p**(2\/5))*p**0)**(-32) assuming p is positive.\nAnswer: p**(-623\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t**2 + 20*t**2 - t**2 + 0*t**2 - 457*t.\nAnswer: 34*t**2 - 457*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 3 + k**2 - k**2 + 4*k**2 - 3*k**2. Let y(h) = 5*h**3 - 4*h**2 + h - 16. Let q(l) = -11*a(l) - 2*y(l). What is q(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 12*x - 2. Let f be z(9). Let t = 160 - f. Let y = 43 - 71. Which is greater: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1810\/462863 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 11. Suppose 0*y = -2*y + p. Suppose 0*l + 2*o = -4*l + y, -l - o = -5. Solve 0*k + l*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23761481 + -5?\nAnswer: -23761486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 27 + 88 - 29 - 28 - 4.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 28*j**2 + 2.\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -131, -132, -133, -134?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + f**2 + 20. Let o be m(0). Let j = 33 - o. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/15*(-18)\/10. Let o(j) = -8*j + 3. Let r(s) = -10*s + 4. Let y(x) = q*r(x) - 4*o(x). Let l(i) = -5*i + 7. Give y(l(z)).\nAnswer: -10*z + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17251 + 539628532\/31281. Which is greater: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224452236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1b4 (base 12) to base 2\nAnswer: 100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 8*x**2 - 10*x - 5. Let r = -18 + 9. Let a be s(r). Let o(w) = w - 4. What is o(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.896196364 rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60154?\nAnswer: 2, 19, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 10 + 6 - (2 - -30) - 10.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8\/3)*f\/f**(7\/4)*((f\/(f*(f*f\/f**(-1))\/f))\/f)\/(f\/f**(1\/3)) assuming f is positive.\nAnswer: f**(-85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(252) + 1 - sqrt(252))*-5 - (-1*sqrt(252)*-3 + sqrt(252) + sqrt(252)*2 + -5)**2.\nAnswer: -9077 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -357, -477, -597, -717?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29050 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Suppose 21*t + 48*t - 1035 = 0. Solve n*o = -o + t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 18\/7, 3, -1\/3, -3\/2, -0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (72\/(-45))\/(2\/(-20)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**5\/15 - 2*u**4 + 59*u**3\/9 + 14*u**2 - 1151. Factor m(w).\nAnswer: w*(w - 21)*(w - 4)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16676 + 35714?\nAnswer: 52390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8061487801 to the nearest integer?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -1f0?\nAnswer: -1f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((88\/30)\/(70\/(-63)))\/(114\/(-190)).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9400.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-279)\/(-42780)*-46*1\/(6\/25)*8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*n - 38, 5*n - 5*f - 32 = 8. Let z(v) = -8*v - 6*v**2 + 3 - 135*v**3 - 9 + 136*v**3. Determine z(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*x**4 - 8*x**3 - 12*x**2 + 27*x**4 + 5*x**3 + x - 7*x**2 - 2 to the form h*x**2 + t*x + k*x**3 + c*x**4 + y and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 291 + -307. Is (48\/k)\/((-9)\/28239) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -481, -490, -499, -508?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 0*m + 3*n + 28, 2*m + 32 = -5*n. Let l = 15 + m. What is the second derivative of l - 1 + v - v**3 - 3 wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufwvr. Give prob of sequence fv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of -3*((-260)\/(-3))\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - -59bdcbc?\nAnswer: 59bdcca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-10))\/(46\/10). Let a = 5304 + -5303.98. Sort 4, a, l, -0.2 in decreasing order.\nAnswer: 4, l, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**5\/11 - 140*f**4\/11 + 1066*f**3\/11 - 988*f**2\/11 - 4864*f\/11 + 448 = 0.\nAnswer: -77, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930618?\nAnswer: 2, 3, 13, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -64803, -129604, -194409, -259218?\n\"Answer: -2*r**2 - 64795*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 13*a - 176. Suppose -3*v - v = -8. Suppose 3*t + 4 = 5*u - 1, v*t - 2 = 2*u. Calculate the smallest common multiple of u and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**2*r*s + n**2*r*t + n**2 + n*r*s*t - 5*n*r + n*s - 126*r*s*t wrt t?\nAnswer: n**2*r + n*r*s - 126*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2) + -1)\/(1\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*r - 2. Let h = -4 + r. Suppose -5*u - h*v + 16 = -5*v, -3*v = 3*u - 24. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:29 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3134 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 2*g**2 - 3*g + 2. Suppose 0*d - 5*z = 4*d + 7, -5*z + 17 = -4*d. Let b be o(d). Factor -2\/3*q**3 + 2\/3*q + 2\/3 - 2\/3*q**b.\nAnswer: -2*(q - 1)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -199*i**5\/5 - i**3\/3 - 3*i**2\/2 + 5998*i - 2373. What is the first derivative of w(k) wrt k?\nAnswer: -796*k**3 - 2*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -1194?\nAnswer: -1192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 5*w = 18, -5*t + 5*w = -8*t + 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 1. Let g be s(1). Suppose -5*u + u + 8 = g. Let v be 3 + -2 + (6 - u). Which is the third biggest value? (a) 3 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4*p - 5*p - 2)*(-270 + 18*p**2 + 270) + 2*p**3 + 3*p**3 - 3*p**3.\nAnswer: -16*p**3 + 54*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from pkqqqkk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28 + (-9462)\/304 + 2\/(-16)*-1. Is x at least as big as -19\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.26684 to 2 dps.\nAnswer: 2.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0*z + 3*z + 3*z**2 + 2 - 2*z**2. Let k be g(-2). Suppose -3*r - r + 40 = k. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1692 + -1694. Let p(h) = -h**3 + 8*h**2 - 5*h - 3. Let a be p(7). Let y = a + k. Calculate the greatest common factor of 18 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -117, 5, 6, 87, -1, -14, 4 in ascending order.\nAnswer: -117, -14, -1, 4, 5, 6, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/5, -3\/4, -0.185?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3197257, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 149*s - 5330. Determine r(31).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70328 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -43*j**4\/4 + 4*j + 94. Let k(s) = 6*s**2. Give k(x(c)).\nAnswer: 99846*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1152997.95697 and -0.1.\nAnswer: -1152998.05697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3129753.\nAnswer: 3, 11, 94841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*n + 8, l - 4 = n - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*s. Let j be ((-6)\/s)\/6*-2. Does 7 divide 7*((-2)\/(-2))\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 44 - 16. Calculate the least common multiple of 116\/10 + w\/(-175)*5 and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61 + -1?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1984 - 1309. Calculate the highest common divisor of 243 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -214.99999548 + 215. Round o to 7 decimal places.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -871*f**3 - 8*f**2 + 10*f - 532. Let m(x) = -1309*x**3 - 12*x**2 + 14*x - 796. Let n(p) = -5*m(p) + 7*v(p). Differentiate n(k) with respect to k.\nAnswer: 1344*k**2 + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {y: 2, q: 1, c: 1, l: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 6060630.\nAnswer: 66666930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, q: 3, f: 2, n: 4, g: 1}. Give prob of picking 1 z, 1 q, and 1 n.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppy when three letters picked without replacement from {p: 2, y: 1, t: 1, h: 1, b: 4}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/65 + 2\/13. Let n = -8.17 + 4.17. Let a = 0.1 - 0.2. What is the nearest to w in -1\/6, n, a?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - t**2 - 3377 + 3469)*(-t - 37 + 37)*(-1 + 0 + 3)*(8 + t - 8).\nAnswer: 4*t**4 - 184*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -6114.4.\nAnswer: -611.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 711.6311 years to decades.\nAnswer: 71.16311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97870 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 12740 and 5005?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - n = 18, 5*n + 12 = -2*b - 9. Let q be 1 - (-1 - b) - -3. Suppose -q*c + 4*a - 640 = 0, 3*c = -c + 4*a - 1300. Round c to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -21 - (-4)\/(-2) - -2. Suppose -2*r = -3*r - 16. Let y = r - x. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06+-673419\nAnswer: -673418.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/10 or 208.07?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 32. Let k be 3 + 0 - 99\/22. What is the smallest value in 0.1, k, v, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 494, 502, 510, 518, 526?\n\"Answer: 8*v + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267050 is divided by 266981.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 i, and 2 l when four letters picked without replacement from {l: 2, u: 2, i: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 9*n**2 + 4*n - 4. Let b(q) = q**2 - 4*q - 12. Let t be b(7). What is the tens digit of j(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19078951 is divided by 1004155?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**2*v**2 - 909208*f**2 + 199*f*v**2 + 83*v**2 wrt v?\nAnswer: -2*f**2*v + 398*f*v + 166*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + q**2 + 29*q - 8. What is f(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 4*b. Let a be 69\/(-12) - 3\/(-4). Let z(i) = -2*i**2 + 5*i. Suppose 0 = 3*g - 6*g - 4*y - 6, -g + 5*y - 21 = 0. Give a*z(f) + g*x(f).\nAnswer: -2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -73*k**2. Let l(q) be the second derivative of 0*q**3 + 0*q**2 + 1\/6*q**4 + 14*q + 3. Give w(l(z)).\nAnswer: -292*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14739 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: Suppose -2*l - 148 = -p + 2*p, -3*p - 5*l - 442 = 0. Suppose -4*v = -5*d - 1161, v + 4*v + 704 = -3*d. Let g = p - d. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**6\/36 - n**4\/6 - 20*n. Let k(x) be the third derivative of v(x). Let t(h) = 2*h**2. Calculate t(k(z)).\nAnswer: 800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4597 is divided by 70?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 8173b552?\nAnswer: -8173b556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 18. Let a(y) = -y - 1 - y - 4*y. Let r be a(k). Solve 4*b + 6 = -x - 8, -r*x + 2*b - 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (-7)\/((-14)\/(-54)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(53\/(-15) - (-49)\/1470 - (-5)\/1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 3*p**2 - 4*p + 1. Let m be k(4). Let r be ((-2)\/4)\/(m\/(-12)). Let d(t) = 7 + 17*t + 0*t - 18*t. Let b(q) = -q + 8. Calculate r*d(v) - 5*b(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 9, 4 = -5*x - 4*q - 3. Let r = -54 - -269\/5. Which is greater: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -25.6. Let b = 0.4 - 0. Let h = t - b. Put 0, h, -1 in decreasing order.\nAnswer: 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43650 + -5013?\nAnswer: -51663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-10))\/((-3)\/(-10)). Let w be ((b + -2)*-1)\/(-1). Let t(k) = -4*k**2 + 2 - w + 5*k**2. Let d(s) = -2*s. Give t(d(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 1\/20*h**5 + 5\/12*h**4 + 2*h**2 - h + 0 + 0*h**3. Let k(b) = -b**2 - 861*b + 6947. Let i be k(8). What is p(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, p: 6}. What is prob of sequence pi?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 200, 452, 804?\nAnswer: 1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, s: 3, u: 7}. What is prob of picking 2 a and 2 u?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*h - 9. Suppose -l = h*l. Solve l = 2*x - 4*k - 28, 3*k = -x + 2*k - 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2\/5 + 6409*p\/5 = 0.\nAnswer: 0, 6409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i + 56 + 3*i + 11*i - 9 wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14 - -1) + ((-3 - 1) + -5 - -7). Which is the nearest to -0.1? (a) -2\/13 (b) i (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - -1 - (-5 - 4). Let l(i) = -4*i**2 + 48*i + 3. Let j be l(12). Suppose 5*w - 5*o = 10, j*o - 10 = -3*w + d*o. Solve 3*y + y = w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*t = 68*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 374 + -371. Suppose 5*s - w*s - 42 = 0. Solve -s = 10*a - 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 1, u: 1}. What is prob of picking 1 q and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9606420 to the nearest integer?\nAnswer: 3099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.865803742 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -4) + -8 + 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*x + 11 + 27, 0 = -4*x - n + 98. Let q be (-8)\/6*117\/(-6). Let l = q - x. Solve -p = l*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 264\/13 + 356\/13*p**3 + 2\/13*p**5 - 168\/13*p**2 - 96\/13*p**4 - 358\/13*p = 0.\nAnswer: -1, 1, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5.4. Let q = -52.9 - -89.8. Let i = 36.86 - q. Which is the third smallest value? (a) 1\/3 (b) i (c) -2\/9 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 7*s - 2*s, -s = -4*w + 18. Let y = 18 + -12. Let g be (-1)\/2 - y\/12. What is the closest to g in w, 1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 16*s - 13. Let t be p(-15). Solve 0 = -5*o - 27 + t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 482752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10540255 (base 6) to base 12\nAnswer: 13768b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.212 + 6.212. Let k = 1.1 - 1. What is the closest to 1 in -5, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 6*x**2 - 10*x + 3. Calculate m(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 8*v**3 - 6*v**3)*(-174 + 174 - 58*v).\nAnswer: -58*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 66 + 198. Let q = s - -5. Let u = q + -50. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1966 + -1964. Which is the nearest to 1? (a) j (b) 0.1 (c) -0.057 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 25)*(-63)\/(-28)*4\/(-24) + -7.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**3 - 72*t**2 + 6*t + 143. Let f be n(-24). Sort 3, 2, 0, f.\nAnswer: f, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 + 9. Let d(l) be the third derivative of l**5\/30 - 2*l**3\/3 + 4*l**2. What is 9*d(t) + 4*i(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 - 0.85. Let s = -14.85 + c. Let l = 18 + s. Put 1\/2, l, -1 in increasing order.\nAnswer: -1, 1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2370062473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**4\/24 - 10*p**2. Let c(f) = -f + 1. Calculate c(o) + 4*t(o).\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*k - 3 = -2*k, -5*k = -10. Suppose 3*a + p = 4. Let v(l) = 8*l**2 - 2*l - 2 + 2 + 1. What is v(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18768 and 552?\nAnswer: 18768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-3)*(-18)\/(-12) - -3. Let l = 5.136 - 0.136. Which is the nearest to -1\/12? (a) l (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112313004 (base 5) to base 4.\nAnswer: 1330212223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -0*b - 343. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/4, -4, -1\/8, 23?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3702 - -148033\/40. What is the common denominator of p and -23\/9720?\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 - -67. Let l = v - -66. Suppose 5*h - 41 - l = 0. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/1292?\nAnswer: -3\/1292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2cb6 (base 16) in base 6?\nAnswer: -124554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 6*c**2 + 3*c - 2. Calculate t(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7260*x - 653382. Determine l(90).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, p: 2, q: 2, l: 4, i: 1, g: 1}. Give prob of sequence lq.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4 + 5730*m**3 - 28468*m**2 - 377520*m = 0?\nAnswer: -6, 0, 11, 2860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -544 and 168.\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0315 + 0.0685. Which is the third biggest value? (a) v (b) -114 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 549 + 219?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169022206 is divided by 2234.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + -1. Let p = -213 + 1707\/8. Which is the closest to -3? (a) k (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-13))**19 assuming t is positive.\nAnswer: t**(-247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.01+0.0899\nAnswer: 0.0799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 greater than 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/4 - 147*j\/4.\nAnswer: -3*j*(j + 49)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyo when three letters picked without replacement from nyknnookno.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 573840054*b**2 - 553247110 wrt b?\nAnswer: 1147680108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -4919 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -729 - -8004. What are the prime factors of p?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1908)\/(-3) - -6 - (4 - 2) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 14) in base 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*h**2 - 23*f**2*l**2 + 3*f*h**2*l**2 + 37*f*l - 2*h**2*l**2 wrt f?\nAnswer: 2*h**2 - 46*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1\/5 (c) -2\/349453\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 9 + 6. Suppose 0 = 2*s + c*w - 752, 4*w = -4*s + w + 1510. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 51 = 3*p, -3*c - 5*p - 27 = 14. Let q = 20 + c. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/10 - (-108)\/(-15). Let f(r) = -r - 8. Let y(v) = v + 16. Let m(k) = 7*f(k) + 3*y(k). Is m(u) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n**2 + 3*n**2 - 6*n**2.\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49 times -193294?\nAnswer: 94714.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + 4*sqrt(832) + sqrt(832) + sqrt(832) + sqrt(832) + 2 + 0 + sqrt(832))**2.\nAnswer: 384*sqrt(13) + 53253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 623 = 4*u + 195. Let c = 219 + u. Is c a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-875)\/1625*(-4)\/42 + (-10)\/4758.\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(40)\/(sqrt(70)\/sqrt(7))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.6 and 0.0558596198.\nAnswer: 0.6558596198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1496308849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -8*c - 68, -304*c - 6*l - 61 = -303*c - 2*l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u**3 + 1 - 6*u**3 - 1.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + 8*v - 5*v + (-v + v + v)*(-175 - 155 - 98) as s + p*v and give p.\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*h + 3*s = -75*h - 41, h = 3*s + 13. Solve -6*m = -10 + h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -26*q - 76. Let x be r(-18). Suppose 16*z - x = 2*z. Calculate the smallest common multiple of 8 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 + -87. Suppose 17 = 2*b - 1. Suppose 0 = -b*m + 4*m - 25. Is l less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -91601*n - 91590. Calculate l(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*(sqrt(1573) - -5*sqrt(1573)) + (sqrt(832) + 2 - sqrt(832)) + (sqrt(13) + sqrt(13)*-6*6)**2.\nAnswer: 330*sqrt(13) + 15927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 34*u + 386. Let f be w(43). Let j(o) = -9*o**3 - 2*o**2 + o + 2. What is j(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28 - 42) + -26 + 15\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1272, 302.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11183, 22367, 33551, 44735?\n\"Answer: 11184*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476 a factor of 3360852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 36. Let w(g) = 1. Let m(l) = 5*w(l) - x(l). Let d be m(9). What are the prime factors of ((-16)\/(-10))\/(d\/(-165))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15958618 and 19.\nAnswer: 15958637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u - 5*u - 3*u + 2*u - 2*u - 4*u + (-7 + 2 + 2)*(-2*u + 4*u + 0*u) in the form z*u + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3146481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2\/21, -0.1, 2\/7, 2, 32 in descending order.\nAnswer: 32, 2, 2\/7, -2\/21, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48312 divided by -732.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8, 96, 352, 860, 1704?\n\"Answer: 14*w**3 - 10*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-6)*(-18)\/4. Suppose 338 = i + 3*o, -3*o + g*o + 1708 = 5*i. What are the prime factors of i?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**4\/12 - r**3\/6 - r**2 + 3*r. Let i be d(3). Sort -2, i, 3.\nAnswer: -2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7017 - 6470. Calculate the remainder when h is divided by 104.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 8 = 13*t - 12*t, 5*j + t - 20 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**2 + 83*o + 854. What is s(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o**2 - 5*o**2 - 4*o**4 - 6*o**2 + 3*o + 16*o**3 + 5*o = 0. What is o?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 - (-69 + 170) - -86?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4174, 11, 0, 4 in ascending order.\nAnswer: -4174, -3, 0, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24509 is divided by 1177?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/3? (a) 2 (b) 1.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 - 115*s + 115*s. Let f(m) = 7*m**2 - 1. Give -5*c(l) + 3*f(l).\nAnswer: l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 118*q**2. Let y(o) = -1739*o**2 - 86*o. Determine y(t(f)).\nAnswer: -24213836*f**4 - 10148*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100 and -2.2.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 12*j**2 + 23*j + 6. Let n be w(-10). Which is the biggest value? (a) 3 (b) -0.5 (c) 2\/3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2611520 divided by 522304.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 607? (a) 0.3 (b) -0.2 (c) 22.301\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21871829 = 21871829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 0. Suppose 2*j - 3*l - 13 = 0, 33 = 5*j + l + r. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-nine fifths of a milligram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 9:44 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1483*g + 961. Let j(f) = 4450*f - 2896. Let n(u) = -6*j(u) - 17*y(u). What is the derivative of n(q) wrt q?\nAnswer: -1489","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52047784187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -903, -1789, -2667, -3537, -4399, -5253, -6099?\nAnswer: -6937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5*s - 2*u = 58, s - 7*u - 5284 = -5291 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biqniinbnn. What is prob of picking 2 b and 1 n?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 13*v**4 - 2*v**3 - 2*v**2. Let r(z) = 25*z**4 - 5*z**3 - 5*z**2 + 1. Let n(s) = -4*r(s) + 9*x(s). Find the third derivative of n(f) wrt f.\nAnswer: 408*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 150, -5, 2\/9?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + sqrt(500)*1*2 + 3*(sqrt(180)*1 - sqrt(180))\/sqrt(9))*3)**2.\nAnswer: -120*sqrt(5) + 18001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 0*b**3 + b**3)*(2*b + 0 + 0) - 92*b**2 + 92*b**2 + 7*b**4.\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -133499893?\nAnswer: 26699978.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -26*d + 2723. What is a(104)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/20358 and 16\/261261.\nAnswer: 1567566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -35. Let t be 42 + 4\/(-2)*z. Suppose -t = -10*i + 9*i. Calculate the greatest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11545 + -11529. Solve 3*o + 7 = j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10912*b**2 + 10699*b.\nAnswer: 21824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.97 + 1.1. Let r = 0.23 - m. Let y = -1.1 + r. What is the nearest to y in 0, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5094, 19249, 42834, 75837, 118246, 170049, 231234, 301789?\nAnswer: 381702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/2, 2\/9, -8, 5 in ascending order.\nAnswer: -8, -4, -3\/2, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (4 + -66)) + (-21 - (5 - 9))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 11 + 36 = 0. Does 21 divide s + -3 - (4 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**5\/7 + 387*d**4\/7 - 801*d**3\/7 - 1947*d**2\/7 + 2358*d\/7 = 0.\nAnswer: -131, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (-13 - -5 - -1 - (-2 + -2))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*q - 8 = 0, 4*v - 3*v + q = -4. Let g = 5 - v. Suppose -x + 16 = 3*x, -g*l = -5*x + 5. Solve l*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(816) - (sqrt(816)*1 - sqrt(816)))\/(sqrt(108)\/sqrt(4)).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409142623.\nAnswer: 7, 4441, 45329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.37646894 to one decimal place.\nAnswer: -43.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4806.749894 rounded to the nearest one hundred?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 8*b - 17. Let f(g) = -3*g**2 - 3*g**2 + 8*g + g**2 - 16 + 4*g**2. Let c(t) = -5*f(t) + 4*m(t). Let a be c(6). Are -1\/6 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 77*f**2 + 77*f**2 + 159625*f**3.\nAnswer: 159625*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p - 497 + 8 - p - 107*p**2 - 165*p**2 wrt p.\nAnswer: -544*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -41 + 60 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4956, 10303, 15650, 20997, 26344?\nAnswer: 31691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6476917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 361, -17, -1\/5, 2, 0 in ascending order.\nAnswer: -17, -1\/5, 0, 2, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**2. Let h(r) be the second derivative of 4*r**4\/3 - 32*r. Determine h(s(t)).\nAnswer: 256*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -234 + 309. Suppose u*s = 56*s + 15884. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 6*k + 14. Let u be o(5). Let f = 153 + u. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 80, 450, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/52057 (b) -2\/3 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2040\/935)\/(42\/(-693))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 18 - 3. Suppose -k*j - 7 = 3. What is the tens digit of (-18)\/j*5 - 6\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70639924 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 51\/8 of a hour?\nAnswer: 22950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25763411 (base 8) in base 14?\nAnswer: -a9d5a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-5))\/(6\/(-20)). Suppose -f*r - 5*g - 9 = 0, -3*g - 40 = -5*r + g. Solve j + 2 = r*u, -2*u = -j - 3 + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1670126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/3 + 80*g**2\/3.\nAnswer: -2*g**2*(g - 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -240, 0.4, 0.1, 33360, -5 in descending order.\nAnswer: 33360, 0.4, 0.3, 0.1, -5, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*j + 9 - 10 + 7 - 10 as v*j + r and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1120625754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -574198?\nAnswer: -574197.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -92833.797732 take away 9?\nAnswer: -92842.797732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = 3*q. Suppose q = -x + 4. Let p(j) = -4*j + 3. Determine p(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292113 and 698.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 15 = -0*v. Find k, given that -3*k**2 + k + 2*k**3 + 3*k**v - 6*k**3 + k**2 + 2*k**4 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9353, -18727, -28127, -37565, -47053?\n\"Answer: -2*a**3 - a**2 - 9357*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 2*n**2 + 2*n**4 + (-6*n**4 + 4*n**4 + 4*n**4)*(-1 + 1 + 2).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2826760 (base 11) to base 2.\nAnswer: 10010100100111001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34513 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180177680 to the nearest integer?\nAnswer: 13423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 38*l**2 + 3*l + 1. Let n be y(-6). Calculate the common denominator of 14\/(-63) - n\/8946 and -23\/6.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.89 and -8040.2771?\nAnswer: 8039.3871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14532 + -6.3?\nAnswer: -6.44532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (538\/14795 + (-1381)\/165)\/(3\/9).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84885 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 9:59 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u + 6 + 58. Put 0, -2, u in increasing order.\nAnswer: u, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 24 + 37 = 24*k. Sort -5, k, 0, -2, -3.\nAnswer: -5, -3, -2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*h**3 - 14*h**3 - 54*h**3 + 26*h**3.\nAnswer: -84*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 minutes before 12:36 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77*n**3*q + 228*n**3 + 3785*n**2*q + 4*n**2 + 2*q + 1 wrt n.\nAnswer: -462*q + 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 526182 to the power of 1\/2, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 5*a - 4*b - 6, -3*a + 3*b + 15 = 0. Let g be a*2\/(-12)*-66. Solve 0 = -6*o - 10 + g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 41076?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16011866 to the nearest integer?\nAnswer: 4001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -157? (a) 1\/6 (b) -3 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-6)*(-6 + 2 + 0). Solve -c = n*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1284585 rounded to 3 decimal places?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/10*5\/(-2). Suppose 0 = 4*l + 5*r + 4, -3*l + 8 = -k*l - 3*r. Suppose -4*c = y, c - y = -l*c. Solve -3*a + 3*b - 2*b - 4 = c, -4*b = -16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 373 = -2674. List the prime factors of h.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.064 minus 0.065?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*g - 4*a - 172, -g = -2*a - 38. Calculate the highest common divisor of 288 and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**2*p**2 + 30613*k**2*p + 119*k*p**2 + 5*k*p + k + 2*p**2 - 6*p wrt k?\nAnswer: -2*p**2 + 61226*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42129391 + 78089391. What is g rounded to the nearest 1000000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 5*q**2 + 6*q + 6. Give c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8034 less than or equal to 8211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 29*z - 5*z**2 + 9*z**2)*(4*z - 31 + 31).\nAnswer: 16*z**3 + 108*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 144, 177, 278, 483, 828?\n\"Answer: 6*f**3 - 2*f**2 - 3*f + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, a: 1, c: 2, y: 1, p: 1, b: 1}. What is prob of picking 1 a, 1 p, 1 i, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + 2 - 2 + (-43*f**2 - 121*f + 121*f)*(-3 - 1 - 5).\nAnswer: 385*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 2*m**2 + 6*m. Let d be z(5). Let v be d\/(-2) - 4\/8. Suppose 3*u - x - 2*x - 30 = 0, 0 = 4*u + 5*x - v. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s + 2938*s**2 - 25 - 2940*s**2 + 7 in the form z*s**2 + a*s + x and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -132*i - 440. Calculate o(-6).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6675, -13210, -19735, -26244, -32731, -39190?\nAnswer: -45615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19685 is divided by 4873.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -39221 divided by -5603\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(17) - (-2 + 2*sqrt(17)))**2 - (2 + ((1*sqrt(119))\/sqrt(7))**2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(0 - -1) + 11. Let i(q) = 4*q**3 - 7*q**2 + 13*q + 3. Let t be (24 - 22)\/(1 + 0 - 0). Let w be i(t). Calculate the greatest common factor of w and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -1025?\nAnswer: -1029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 260 - 276. Sort l, 1\/6, -0.3, -4 in decreasing order.\nAnswer: 1\/6, -0.3, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 16. Let l = a + -10. Let h = 0.13 + -1.13. Sort 2\/5, h, l in descending order.\nAnswer: 2\/5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -617, 1133, 4045, 8113, 13331, 19693?\nAnswer: 27193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8282*a + 10689 = -7773*a for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 287475659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -34190 divided by 3419?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444280 is divided by 1038?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*h - 5. What is the second smallest value in h, 0, 0.2, 2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r + 6. Let d be h(-4). Let o = 9 - -1. Let x be (-1 - 0)*40\/o. Sort d, -5, x in descending order.\nAnswer: d, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35699 - 22949. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 13 = -3*p, 3*p - 4*n + 9 = 26 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -684, -2734, -6138, -10890, -16984, -24414?\nAnswer: -33174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 13, v: 1, a: 1}.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7808, 15601, 23394, 31187?\nAnswer: 38980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 3}. What is prob of picking 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-1216)\/(-88) - 9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*30\/(-2)*3\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7455)\/15*(6\/84)\/((-63)\/126).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 7. Let u(z) = -6*z + 6. Does 18 divide u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30.2677403 and -0.36.\nAnswer: -30.6277403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30294 + -30291.2638. Let x = -2.71 + y. Round x to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 25, 4*j + k = 3*j - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2777 is divided by 693.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, k: 11, n: 2}. Give prob of sequence kk.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*k + 125474 = 7025494, -2*s + 3*k - 4600012 = 0. What is s rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6995000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 340*a + 20. Is t(1) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 26*s. Let c(y) = -35*y. What is c(u(w))?\nAnswer: -910*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91431.\nAnswer: 3, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 3, -236, 1\/668, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*b - 14. Find i such that -4 - b*i**2 + 3*i**2 + 2*i**2 - 6*i = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -29. Suppose h + 2*x = -7, -5*h + n = -h - 5*x. Solve 5*w = -15, 4*i + 3 = -2*w - h*w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 10:56 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 279019 or 279007?\nAnswer: 279007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11134876224.915+0\nAnswer: -11134876224.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u = -2. Does 23 divide u\/(-2) + 71\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.06 - -4. Let t = -19.2 - -19.32. Let b = v + t. Which is bigger: -0.2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 8 = 7. Suppose 5*b + 6 = 3*z + 1, -v*b = 3. Let j be 6\/1 + (1 - 2). Solve z = s - j*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*p - 1. Let g = p - -4. Let s(c) = 5*c**3 + c**2 + 2*c - 13. Is s(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 19*s**2 - 16*s - 12. Let g be o(18). Calculate the greatest common divisor of g and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000128745547 rounded to seven dps?\nAnswer: 0.0001287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11))*-2 + sqrt(1331)*4 + sqrt(11) + 4*(sqrt(99) - sqrt(11)) + (0 + sqrt(11) + -2 - sqrt(11)).\nAnswer: -4 + 51*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1985 + 2750 - 4757 - 64*r.\nAnswer: -64*r - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13503, 54026, 121557, 216090, 337619?\n\"Answer: -z**3 + 13510*z**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d + 4809 = -h, -d + 1603 = -2*h. Suppose -d = -5*m - 473. List the prime factors of m.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1270785, 2541563, 3812341, 5083119, 6353897, 7624675?\n\"Answer: 1270778*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u + 48. Let q be z(-9). Let t(v) be the second derivative of -1\/80*v**5 + 1\/16*v**4 - 4*v + 0 - 1\/8*v**q + 1\/8*v**2. Solve t(c) = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5*i**3 - 16\/5*i - 6\/5 + 6*i**2.\nAnswer: -2*(i - 3)*(i - 1)*(4*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8784507?\nAnswer: 3, 113, 25913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 70, 68, 74, 94, 134, 200, 298, 434?\n\"Answer: i**3 - 2*i**2 - 3*i + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (517 - 6*t - 517)*(t**2 + 0*t + 0*t) + (4*t**2 - t**2 - 2*t**2)*(9*t + 18 - 18).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c**2 + 1823*c + 71551. Calculate p(262).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57880687247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j**3 - j**2 - j + 1. Let t be c(1). Suppose -t*b + 135 = -55. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -3*u**5\/140 + 11*u**4\/28 - 16*u**3\/7 + 6*u**2 + u - 39. Solve w(g) = 0 for g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -886984\/9 + 98554. Let p = -2 + 2.3. Is j less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h + 3. Suppose -2*k - 5*z + 139 = 0, 4*k - 263 = 6*z - z. Let q = -92 + k. Sort -5, h, q in ascending order.\nAnswer: q, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -74*s - 8217. Let v be k(-111). Let w = -4 - -5. Let t = -1 - 1. Sort -5, w, v, t.\nAnswer: -5, v, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.27 + -85.73. Let s = h + 85.5. Which is the closest to -1? (a) -0.24 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(1*(-1 + sqrt(1053)) + -4)*3.\nAnswer: -216*sqrt(13) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -48.24, 0.1 in increasing order.\nAnswer: -48.24, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q = 68*q - 2*q - 184 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/4)\/(3*(-2)\/12). Suppose 2*d = -z + 21. Factor -6 - 2*t**2 + 2\/9*t**3 + d*t.\nAnswer: 2*(t - 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1310 and 25094360.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 + 28 + 14 - 17*p + 1 + p**2 to b*p**2 + x*p + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 6*s + 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/3, -2588, -2\/7.\nAnswer: -2588, -4, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 347.733 rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 3084\/(-384) - 9\/6*2?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.39996206 rounded to 4 dps?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*j - 141*j + 480 = -322*j for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/17 + 1\/153. Let s be 2\/3 - (-6)\/(-9). What is the closest to s in 6\/11, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*l + 205 = -555 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -43.5.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 538820 > 538816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 125103?\nAnswer: -3\/41701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/236 and -53\/11.\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.5 (b) 2\/9 (c) -0.5326\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3607.\nAnswer: 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2. Suppose -27*g = -29*g + 8. Let z(r) = 4 - 8 + g + 6*r**2. Give z(p(u)).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3473 = 16327. Round w to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 51228870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 52, -42, -174, -344, -552?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2527 (base 9) to base 11\nAnswer: -1467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r - 28*r - 40 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34.2 - 33.7. What is the third smallest value in 2\/21, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 f when four letters picked without replacement from {z: 2, f: 6, i: 9}?\nAnswer: 27\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2481998 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: Let j(t) = -2*t**2 - 291*t - 2323. Calculate j(-137).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12955 divided by 5?\nAnswer: -2591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 79 = 93 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2*y + 63, s + 4 - 3 = 3*y. Let n = s + -7. Solve -n*u = -3*k + 27, -5*k + 3 = -2*u - 28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11*v**4 - 5*v**2 + 16*v. Let g(p) = -6*p**4 - 3*p**2 + 8*p. Let l(z) = 5*g(z) - 3*k(z). What is the second derivative of l(j) wrt j?\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3*((v\/(v*v**(-4)\/v))\/v)\/v*v)\/((v*v**(-3\/4))\/(v*v\/(v*v**8\/v*v))))\/((v**(2\/5)*v**(-1)*v)\/(v\/(v\/(v**8*v))*v**(1\/12))) assuming v is positive.\nAnswer: v**(253\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 82635\/175 - ((-22)\/(-10) + -2). Suppose 11*d - a = 7*d. Does 59 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from {o: 1, t: 1, z: 1, j: 1, b: 1, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-i + 0 + 0)*(2*i + 0*i - i) + 2*i**2 + 0*i**2 + 0*i**2)*(-15 + 114 - 6) as t*i + f + h*i**2 and give h.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378559225.\nAnswer: 5, 11, 223, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28733 + -13282. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 393 + -340. Let s(p) = 0*p**2 - x*p**2 + 27*p**2. Let r(v) = -8*v. Calculate r(s(i)).\nAnswer: 208*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 8\/3*y**3 + y**2 + 1\/5*y**5 - y**4 + 0*y + 0 - 1\/60*y**6. Factor o(r).\nAnswer: -2*(r - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = 14*v - 11*v + 13*t - 187, 7*v + 111 = 11*v - t for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*4 + (-7 - (-11 + 1)). Let f(b) = -3*b**3 - 5*b**2 + 6*b + 6. Is 48 a factor of f(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4 = -3*b + 6*b, 4*b = -119*k + 118*k + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2551*z - 6 + 1285*z + 0 + 1313*z in the form y*z + p and give y.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 2*u - 4. Let s(i) = i**2. Let y(o) = -8*o**3 + o**2 - o - 1. Let j(g) = u*y(g) - s(g). What are the prime factors of j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204795491597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r - 52 = -2*t, -2*r = 5*t - 20. Suppose 7*f = -3*g + 2*f + 7, 1 = -f. Suppose g*u + u = r. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 2:19 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -72, -35, 26, 111, 220?\n\"Answer: 12*y**2 + y - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*-1*(-525)\/(-20). Let n = 185 - c. Is n a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 10862.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 1. Suppose -27 + 87 = 52*w - 148. Let a(z) = 6*z - 43. What is w*s(t) + a(t)?\nAnswer: 2*t - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, -5, -9, -15, -23?\n\"Answer: -u**2 + u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*(-3 + -2 + sqrt(1088)))**2*5*1.\nAnswer: -3200*sqrt(17) + 44520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 692083471 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*u - 26 = -7, c - u - 7 = 0. Suppose 0 = -3*j + 4*b - 0*b - 3, 6 = 5*j - 3*b. Suppose 2 = -d + j*d. Solve 5 = c*v - p, v + 5*p + d = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/47985 and -181\/30.\nAnswer: 95970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -536 divided by 2\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, q: 6, g: 2, m: 3, h: 6}. What is prob of picking 4 q?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 + 79. Let t(r) = y*r + 4*r + r. Let o(i) = -i + 4. Let q(k) = -k + 3. Let w(p) = -3*o(p) + 4*q(p). Give t(w(h)).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131036 or -2489681\/19?\nAnswer: -131036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108155 = 12*l - 155401. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 37.\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 753 = -737 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -3*y**4\/4 + 5*y**3\/3 - 5*y**2\/2 - 5*y - 6. Let p(z) = -z**3 + 2*z**2 - 2*z - 2. Calculate -4*i(r) + 10*p(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-7*16\/544)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29580, -59154, -88728, -118302, -147876?\n\"Answer: -29574*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 85623?\nAnswer: 513738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27781194 divided by -172554?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -44*v. Let d(x) = -89*x. Give -4*d(f) + 7*k(f).\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11759776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uunfuufunn. What is prob of sequence uuu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sicx when four letters picked without replacement from {n: 1, z: 2, c: 1, i: 1, x: 1, s: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10023 + -2?\nAnswer: 10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from mmnmnnmnrmnnmrr.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1199328 and -121\/10.\nAnswer: 5996640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2046.294 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61152 and 791448?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1596 or -1597?\nAnswer: -1597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157972865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467675*f - 935347*f + 467678*f + 6*f**2.\nAnswer: 6*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 4*i**3 - 2*i**3 + 2*i**3 + i**2 - 8*i**3.\nAnswer: -4*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54941 is divided by 2747.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + c**3)*(11 - 11 - 2*c)*(-2 + 2 - 2).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -169, -5, -2, 4, -157 in ascending order.\nAnswer: -169, -157, -46, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, v: 2, u: 4, b: 1, k: 2}. Give prob of picking 2 u, 1 q, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1612 is divided by 547.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.15726 rounded to one decimal place?\nAnswer: -27.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y + 2552 = -5048. What is the remainder when 154 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6\/11, -0.19, 0.1, -1, 0, -6?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 237931590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5*c + 8 = -4*c, c - 2 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 483168934 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.9 - -4. Let z = -129.976 + 130. Let u = z + 0.076. What is the nearest to u in r, 0.5, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c7b (base 13) in base 9?\nAnswer: -8848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260\/72*(-18)\/(-18)*6\/3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 594857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 + 15*k**2 + 2*k - 56. Let o(w) = 3*w**3 + 12*w**2 + 2*w - 55. Give -6*g(c) + 7*o(c).\nAnswer: 3*c**3 - 6*c**2 + 2*c - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - -2 - (9 + -5) - (-170 + 179).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/(-10))\/(12\/30). Let j be 0*(3 - (-21)\/(-6)). Suppose -i*v = 12 - j. Which is bigger: v or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/26286 and 1\/210288?\nAnswer: 210288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -36, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 22*l**2 - 1192*l + 1325. Calculate h(53).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1411067, -1410993, -1410817, -1410497, -1409991?\nAnswer: -1409257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -2 - 35\/(-7). Suppose h - b*s - 60 = 0, -2*h - 3*s + 8 = -77. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + 170)*1908\/265?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**4\/3 + 72*a**3 - 1876*a**2\/3 - 3408*a - 11152\/3 = 0. Calculate a.\nAnswer: -2, 17, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**3 + d + 1. Let m be p(-1). Sort 4, -1, m.\nAnswer: m, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1604102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1234, -1209, -1156, -1063, -918, -709?\n\"Answer: 2*v**3 + 2*v**2 + 5*v - 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {u: 11, g: 2, q: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**4 - 2*b**3 + 3*b**2 + 53*b + 1?\nAnswer: -48*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 6, 5 in ascending order.\nAnswer: -5, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 26*g**2 - 476*g + 135. What is u(-13)?\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.148, -45\/178, 1\/5?\nAnswer: -45\/178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92\/5*r**2 - 68\/5*r**4 - 12\/5*r**5 - 24\/5*r - 124\/5*r**3 + 0 = 0 for r.\nAnswer: -3, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 25, -l - 6*c = -5*c - 6. Let d be (6 - 3)\/(12\/8). Let y be 1\/l - (-16)\/d. Solve j = -z, -3*z = 5*j - z + y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 6 - 20 + 26 + w**2 as o*w + n*w**2 + v and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -q + 9, -5*q + 18 = -q + f. Suppose -2*c - q*w = -1, -4*c = -w + 4*w - 23. Suppose 3*d - c = 2*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 - 370 = -116*m. Let l = 14 + -9. Solve -m*f + 8 = -4*o, -l*f + 28 - 8 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u + 316. Let n be h(-39). What is the greatest common factor of 1517 and n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/6)*h*h\/(h**(3\/2)*h*h))**(-41) assuming h is positive.\nAnswer: h**(164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77404 and 9937?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, 8, 52, 130, 248, 412?\n\"Answer: u**3 + 8*u**2 - 15*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -11, 16, 63, 136?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (1 - -2) - 0. Let f(t) = -t**2 + 7*t - 5. What is the units digit of f(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -13 (c) 8 (d) -43 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 7 + 38. Let r be (2\/(-30))\/((-6)\/j). What is the nearest to -1 in r, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1 = -i - 0, 3*i + 27 = -5*x. Which is the third biggest value? (a) -5 (b) x (c) -2\/9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15000531.7 rounded to the nearest one hundred thousand?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (32\/(-10))\/(4260\/(-1350)). Which is bigger: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*d + 24, 3*l + 4*d = 7 + 14. Let s be 4 + (-2 + 7 - l). Suppose -3*o = -0*o - s. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 3*s - 2*s)*(-4 - 1 - 3)*(-3*s**4 + 3*s**4 - 2*s**4 + 2*s**3 - 2*s**3 + s**4 + (0*s - s + 0*s)*(-4*s**3 + 4*s**3 + 2*s**3)).\nAnswer: 24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/24 of a minute?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2\/2 - 13*t\/2 + 57 = 0.\nAnswer: -19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88*p**3*w**2 - 3*p**3*w - p**2*w**3 + p - 293*w**3 wrt p?\nAnswer: 528*p*w**2 - 18*p*w - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-9) - 50\/18. Let n be -1*2\/(-12)*x. Which is greater: 0.1 or n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:23 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*w + w - 2*w + 0*w + w - 1 + 1 + (4 + 2 - 4)*(w + 3*w - 5*w) - w + 2 - 2.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -13. Let h be (-5 + 12755)\/(t\/(-280)). Round h to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(0 - 1 + 0)*(28*m + 5*m**2 - 28*m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(6\/11)))\/z**(3\/4)*z**5*z*z**1*z*z*((z*z**2)**(-30))**(1\/8) assuming z is positive.\nAnswer: z**(-27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 237075283.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4277117538?\nAnswer: 2, 3, 983, 241727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9743 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/11 - -10\/77. Let s be (3*(-4)\/15)\/((-28)\/10). What is the biggest value in s, 2\/9, -4\/9, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -1\/2, 1\/5, 0.07, 0.5, -15672, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) + (-39)\/15. What is the remainder when 25 is divided by (-182)\/(-21) + (-1)\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = s - 3, 3*s + 60 = 8*s + t. Let p be -1*s\/156*16\/3. Which is the second smallest value? (a) p (b) 0 (c) 0.06 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + (1 - -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2817077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 + 0*h**4 + 0*h**4 + (8 - 2*h**2 + h - 20 + 18)*(50*h**2 - 79*h**2 + 56*h**2) to v*h**2 + a*h**3 + f*h + r*h**4 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/11*c**3 + 0*c + 0 + 2\/11*c**5 - 2\/11*c**4 + 0*c**2.\nAnswer: 2*c**3*(c - 2)*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxxxsxxsxssx. What is prob of picking 2 x and 1 s?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1200) + sqrt(1200) + (-1 + sqrt(1200) + 2*sqrt(1200) - sqrt(1200)) - (2 + sqrt(1200) + 2 + sqrt(1200)))**2*-3 + -5.\nAnswer: -14475 + 1200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8739 = -10*w + w. Suppose -2*n = -n + 3*h - w, -2*n = -2*h - 1950. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3\/u**(-1\/5))**3 assuming u is positive.\nAnswer: u**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -131742, -263486, -395230?\n\"Answer: -131744*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -3\/26 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 1 - 1)*(-2*k - k + 5*k) - 3 + 3 - 2*k + k - 3*k + 0*k + (-k - 2 + 2)*(3 - 2 - 2))*(4 + 26 - 8)*(-3 + 4 + 0) to n*k + r and give n.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4156, 4159, 4162?\n\"Answer: 3*o + 4153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*s**4 + 13*s**3 - 600*s wrt s?\nAnswer: 108*s**2 + 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 11. Let b be o(8). Suppose t = -b*t + 48. Suppose f = -2*f + t. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-5)*90\/(-4). Let n = 59 + p. Calculate the highest common factor of n and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 7 + 4 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11282949 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 904 a factor of 919600795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 - 2*f**2 + 0*f**2)*(-4687 + 74*f**2 + 4687).\nAnswer: -370*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -13, -3, -1.6, 5?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*l + p, 10*p - 61 = -4*l + 5*p. Solve l*g + q = 12*g, 3*g = -5*q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139352459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by -1250235\nAnswer: 73\/1250235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*d**2*g**2*q - 13*d**2*q**2 - d**2 - 4*g**2*q**2 - 3*g**2*q + 16*g**2 + 89*g*q wrt g?\nAnswer: 26*d**2*q - 8*q**2 - 6*q + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -31 + (0 - (0 + 2)). Let l be 290\/(-14) + (-12)\/42. Let r = l - t. Calculate the remainder when 23 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/2)\/(3\/(-12)). Suppose 4*w - 90 - m = 0. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3309166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -101133453 (base 6) in base 5?\nAnswer: -421120021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0 - -5) + 4 - (-34 + 8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 36. Let w be s(-23). Suppose 0*h + 2*h - w = 0. What is the tens digit of ((-10)\/(-30))\/((h\/48)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -8*y + 10*y. What is the smallest value in -0.08, 0.2, y?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - u**2. Let w be -3 + 9 + -4 + -1. Let a(z) be the second derivative of z**4\/12 + 2*z. Let i(h) = w*a(h) + p(h). Factor i(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 = -5*j - 10, -19 = 3*m - j. Let q be (-93)\/2*4\/m. Suppose -4*f + q = 3. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -472674 (base 10) in base 7?\nAnswer: -4006026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -47.8. What is the closest to 0 in -0.8, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2692*p**2*q**2*r**3 + 2558*p**2*q*r**3 + 7*p*q**2*r**2 + 211*p*q*r**3 + 2*q**2*r + 10831*q**2 + q*r wrt p.\nAnswer: -5384*q**2*r**3 + 5116*q*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(3) + -1)*4*5 - (sqrt(432)*1 + -3 + (0 + sqrt(432) + sqrt(432))*-1)**2) + -4 + -3.\nAnswer: -428 - 92*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/7 - 76*b - 10108.\nAnswer: -(b + 266)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 4*p**2 - 3*p - 7. Let v be h(5). Suppose -1 = -2*g - v. Let b be ((-1)\/(-9))\/(3\/6*1). Put g, b, 0.1 in descending order.\nAnswer: b, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -642030000 to the nearest one million.\nAnswer: -642000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 66 (b) 11\/2 (c) 0.1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0241785 to 3 dps.\nAnswer: 2.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*q - 188 = 0, 3*q - 93 - 100 = 5*w. Let v(o) = -3*o - 3. Let b be v(-1). Let x = b - w. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 851.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17864801?\nAnswer: 263, 67927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3.94. Let o(l) = -l**3 - 31*l**2 - 119*l + 289. Let r be o(-26). Which is the fourth biggest value? (a) r (b) -1 (c) v (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuhh when four letters picked without replacement from {u: 6, h: 7, n: 4}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -62. Does 2 divide 8\/o + 5 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 21 + 1. Suppose 0 = -3*c + 14 - f. Find the third derivative of -3*s**c - 11*s**3 - 4*s**2 + s**2 wrt s.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10010526 - -15?\nAnswer: 10010544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 534150.5 decades?\nAnswer: 5341.505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 10047*l**3 + 2*l + 10139*l**3 - 20103*l**3.\nAnswer: 83*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**3 - 7*t**2 - 2*t + 10. Let y(n) = -n**3 + 9*n**2 + 2*n - 6. Let a(f) = 10*f**2 + 2*f - 5. Let s(m) = 3*a(m) - 4*y(m). Calculate 6*l(r) - 7*s(r).\nAnswer: 2*r**3 + 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/24 and 15\/104?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63300 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/292*-19 + -1. Let k = u - 1\/146. What is the closest to 1 in -0.4, -1\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t. Let w(d) = 18*d + 17*d + 1 - 3 + 6*d - 9*d. Give w(g(n)).\nAnswer: 192*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 38 + -28 - -9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 7. Let u = -19 - -89. Suppose -67*p + 66*p = -u. What is the remainder when p is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -281839, 6 in decreasing order.\nAnswer: 6, 3, -4, -281839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*i**3*m - i*m + 139*m with respect to i.\nAnswer: 108*i**2*m - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9563.584 to the nearest ten.\nAnswer: -9560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1266*v - 11777 - 11829 = 573*v - 1538 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 0*h**2 - 2 + 1\/3*h**3 + 0*h. Let c(m) be the third derivative of -13*m**4\/24 - 2*m**2. Determine g(c(s)).\nAnswer: 169*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 535432 times 1.9?\nAnswer: 1017320.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3273 - 1796. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = 5*d, 4*d = -3*n + 12 + 19. Suppose -n*j + 8*j - 377 = -x, -3*x - 3*j + 1107 = 0. Is x at most 365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29455714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 + 3) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2747 and -0.2?\nAnswer: 0.05494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15668063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 226051.8l in millilitres?\nAnswer: 226051800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 770 (base 16) to base 14\nAnswer: 9a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**2*q**2*w - 1173*l**2*q*w**3 + l*q**3*w**3 + l*q**3 + 19*q**2*w**2 + 202 wrt w?\nAnswer: -7038*l**2*q + 6*l*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*p - 7*p - 18, 2*p + 2 = -5*n. Is p bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -35*d + 214. What is u(-6)?\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y + 1. Let p(n) = 11*n - 1. Let l(h) = 3*b(h) + 4*p(h). Let r be l(1). Let s = r - 4. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12) + 70\/(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275400 divided by -1620.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/12)*a*a**(3\/2)\/a*a assuming a is positive.\nAnswer: a**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320067 and 795?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1670 - -1820. Which is smaller: g or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/3 + 143962*w\/9 + 2666.\nAnswer: -2*(w - 11997)*(6*w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 48. Let f(h) = 0*h**2 - k*h**2 + 2*h**2 + 6*h**2. Let p(r) = -7*r. What is f(p(v))?\nAnswer: 49*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -916 + -4b492?\nAnswer: -501a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - 0) + (-4 - 1) + 985 + -978?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-130)\/(-8) - (-6)\/(-24). Let y = -8 + q. Suppose 0 = y*g - 7*g - 64. Does 32 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-44)\/(-33) + (7\/(-3) - -2). Put 2, l, -5, 22 in increasing order.\nAnswer: -5, l, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-55)\/(-30)*(0 + -8) and -53\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5222615 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10864 at least as big as 10863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 346 - 14. Let j(v) = -v**3 - 5*v**2 - 4*v - 5. Let n be j(-5). Calculate the greatest common divisor of w and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 2*d**2 + 2*d**2 + (13*d - d - 2*d)*(-2*d + 0 - 2 - 2*d).\nAnswer: -38*d**2 - 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1) + 6 - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.6, 2\/9, -77992, -2, 0.4, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*b**3*i**3 + b**3*i*u + 72*b**3*i + 2*b**2*u**2 - 11*i**5*u**2 wrt i.\nAnswer: 54*b**3*i - 220*i**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (134 - (-3 - -49)) + -14 + -1?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*n**2*x**3 - 2*n**2 - 1067*n*x**5 + n*x**3 + 408*n*x**2 + 30*x**2 wrt x.\nAnswer: 258*n**2 - 64020*n*x**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3411 - -24432?\nAnswer: 32243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4567 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {q: 2, l: 1, k: 1, n: 2, t: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkkwgwkkwwgwk. Give prob of sequence ggwk.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/11 - 530*d**2\/11 - 2146*d\/11 - 1614\/11.\nAnswer: 2*(d - 269)*(d + 1)*(d + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -4*i**7\/105 + i**6\/60 - 9*i**3 + 32*i**2. Find the first derivative of u(f) wrt f.\nAnswer: -32*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14507 is divided by 7028?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(99) - (sqrt(99) + 0)) + sqrt(99) + -5 + -1 + sqrt(99))**2 + -3.\nAnswer: -48*sqrt(11) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 43 = 51 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 143, 420, 811, 1322, 1959, 2728, 3635, 4686?\n\"Answer: n**3 + 51*n**2 + 117*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(3 - 5 - 2)*(50*j - 2*j - 10*j).\nAnswer: -152*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 6\/35045, -2\/7 in decreasing order.\nAnswer: 3\/4, 6\/35045, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -22*z**3 - 3*z - 1. Let r be i(-1). Let d be 2\/(-6)*r\/(-20). Let u(j) = j**2 + 5*j + 4. Let a be u(-4). What is the third smallest value in d, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 8*n + 9. Suppose 9 + 3 = 2*k + 2*w, -4*k - 3*w = -27. Let c be i(k). What is c rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvg. What is prob of sequence gvg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 12 = -3*o. Suppose -5*v - 5*p = 0, 4 - o = -v + p. Which is smaller: v or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34142.\nAnswer: 2, 43, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 49. Suppose -3*z - h = -135. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16 - 2828\/(-182)) + 1080\/(-195) + 9. Find r, given that 5\/4*r**i + 2*r**2 + 0 + 0*r + 1\/8*r**4 = 0.\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 14*o - 38. Give m(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:38 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 416*t - 6 + 5 + 1669*t as h + v*t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -1\/120*b**6 + 2*b**2 - 2\/3*b**3 - 7\/24*b**4 + 0*b + 5 - 3\/20*b**5. Calculate r(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14916 (b) 112 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000016653406 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 + 17*s**2 + 3*s - 3. Let o(a) = 3*a**3 - 18*a**2 - 4*a + 4. Determine -3*o(u) - 4*w(u).\nAnswer: 3*u**3 - 14*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-243)\/(-54))\/((-336)\/64)*(-350)\/6?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*p**6 + 74*p**2 - 5*p?\nAnswer: -7080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**2\/9 + 824*m\/9 - 274\/3 = 0.\nAnswer: 1, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - (231 - 226).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6596635 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 7\/2*d**2 + 9*d + 1\/3*d**3 + 0. Give v(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 2*l - 3. Let h be (0 - -6)*25\/30. Suppose -4*k - 2 = -h*k. Determine v(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 3 + -3 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39622237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -0.09140819129.\nAnswer: -0.49140819129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 133557689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 1. Suppose 0 = -5*s - 3*i - 11, -2*i = 4. Let h(j) = -2*j - 9. Let p(o) = s*n(o) - h(o). Suppose y = 5*y + 20. Give p(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 4*v**2 - v + 2. Let m be i(-3). Let u(h) = h**2 + 5*h + 5. Let j be u(m). Suppose 2*y = j + 7. Solve 2*s - 9 = 5*s - 5*x, -12 = -y*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. Suppose 2*x + d*b = 12, 5*x + 6*b = 2*b + 6. What is the common denominator of (x\/(-28))\/((-3)\/(-132)) and 1\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 10*y**3 + 6*y + 5*y**3 + 9*y**3 to the form q*y + a + k*y**3 + g*y**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -467 - -472. Suppose -2*g + 24 + 15 = f*y, 5*g - y = 30. Solve r - g = v, -4*r + 33 = -0*r - 5*v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 127638 and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-126) + (-244)\/84.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 4*x + x - 18, 2*x - 4 = 0. Suppose 0 = g + 4*z - 1 + 41, -40 = g + t*z. Is g bigger than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114469 is divided by 212.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6353.372 days?\nAnswer: 152480.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 14*d**2 - 31*d - 20. Let t be a(16). Let p be t\/(-99) + (-54)\/243. What is the closest to 1 in -35, 4, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -16*t + 8. Let z(u) = u**2 + 2*u - 4. Let o be z(-4). Suppose -71 + 15 = -o*m. Solve 2*i - 4*p = -0*i + m, -p = t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114232 divided by 3165?\nAnswer: 114232\/3165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 2*g**2 + 3*g**2)*(2*g**2 - g**2 - 2*g**2).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183 - -125. Let l = d - -95. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 105.4 and 303.7.\nAnswer: 32009.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2480335.099 - -1.\nAnswer: 2480336.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7373 - -586164606.\nAnswer: 586157233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**6 + 57*n**4 - 13*n**3 - 1050341*n**2.\nAnswer: 120*n**3 + 1368*n - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.4 (c) -24\/11 (d) 3 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -8600\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 463318 and 3761052?\nAnswer: 63937884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**6\/180 - p**5\/24 + 7*p**4\/24 + 16*p**3\/3 - 11*p - 7. Let i(s) be the second derivative of n(s). Calculate i(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 - o**3 + o**3 + (1 + 1 - 6)*(o**3 + 0*o**3 + 2*o**3)*(-2*o**2 + 2*o**2 - 3*o**2) - 11*o**5 - 3*o**5 - 5*o**4 + 21*o**5.\nAnswer: 41*o**5 - 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 7*q - 7. Let x be j(5). Suppose -x*f - f = -12. Suppose 105 + 240 = f*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128287 = 2*q - 5*c, 128317 = 2*q + 127*c - 122*c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-64)\/(-12072)*24\/(-32). Is a <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3283837 or -3283838?\nAnswer: -3283837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - -1*sqrt(175) - sqrt(175)) + -2 - sqrt(175))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 10*d**2 - 6*d - 6. Let x(j) = -10*j**2 + j + 7*j**2 - j**3 + 1 + 4*j**2. Let t(i) = g(i) + 6*x(i). Find the third derivative of t(r) wrt r.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**2 - 2*j. Let s be p(2). Suppose -6 = -3*k, 3*m - 2*k + 6 = -25. Let a = m + s. What is the remainder when 44 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000043210535 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 23 = 5*o, -3*q = -4*q - 5*o + 27. Suppose -376 = -q*b - 6*b. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 36*m + 273. Let q be i(25). Let y(k) = -4*k**2 + k - 1. Let n(x) = 2*x**2 + 1. Let t(u) = 5*n(u) + 3*y(u). What is t(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -844, -835, -828, -823, -820?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4204 and 2?\nAnswer: 4204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/5 + 1237*s**2\/5 - 494*s = 0. Calculate s.\nAnswer: 0, 2, 1235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2. Let w = 0 - l. Let n be (-9)\/(-6)*(w - -1). Solve 5*x = 4*c - 20, -4*x = c - n - 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 2\/15*q**3 - 1\/5*q**2 - 4\/5*q - 2. Solve h(g) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -58. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-290))\/(28224\/(-47040)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34 - -2 - (28 + -102)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249446 by -2.\nAnswer: 124723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 30 = -4*k + 10, -4*m - 4*k - 20 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*h - 17 = -3*k - 113*h, -h = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2142 (base 6) to base 9.\nAnswer: -608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4*z - 39 - 1, 5*z + 22 = -4*a. Let g be (a*1)\/(2\/(-39)). Suppose -61 = 5*d - g. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 11*x - 20. Let d be j(-8). Which is the third smallest value? (a) 10 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1640 and 79\/80.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810200817?\nAnswer: 3, 90022313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -14. Let i = 3 + r. What is the biggest value in 1, 0, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/5 + 833*a\/5 - 1116\/5.\nAnswer: (a + 279)*(3*a - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222001 + 2000?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 230 = -230 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1420794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + a + 1. Suppose 24*b + 66 + 8 - 2 = 0. Let x(p) be the third derivative of -p**5\/15 + p**4\/4 + p**3\/2 - 4*p**2. What is b*z(j) + x(j)?\nAnswer: -j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-1) + (-33)\/56 and (-22338)\/13328 + 27\/24.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1 + sqrt(1008)*-2 + sqrt(1008)*-1 + 3)**2 + (sqrt(28) + 5*((sqrt(28) - (-2 + sqrt(28) + sqrt(28))) + sqrt(28)) + sqrt(28))**2 + -3).\nAnswer: -208*sqrt(7) + 9297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 65*m**2 - 98*m + 1812. Determine y(-63).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 14*x**3 - 6*x**3.\nAnswer: -22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/9 and 71\/1458.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/36*-300*10\/(-50).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28512716?\nAnswer: 2, 1301, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67081\/2 or 33541?\nAnswer: 67081\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcctwctcxcwchchcx. What is prob of sequence hxt?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -364, -839, -1526, -2437, -3584, -4979?\nAnswer: -6634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128425597?\nAnswer: 128425597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37123130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -12 - -10 - -21\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576758581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x - 3*x)*(5*x + x - x - 9*x - 10*x + 5*x + (-3 + 0 + 5)*(-2*x + 2*x + x)).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) -1 (c) -19 (d) 5 (e) 37\/17 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7802 - -635?\nAnswer: -7156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkx when three letters picked without replacement from {b: 1, s: 4, n: 1, x: 4, k: 3, m: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -5*t**6\/6 - 3*t**5 + 45*t**4\/4 + 115*t**3\/3 + 30*t**2 - 127. Determine i, given that g(i) = 0.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 - (2 - (0 + -1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.5637 + -0.0363. Sort 3\/4, y, 1, 0.1 in increasing order.\nAnswer: y, 0.1, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.4 + 21. What is the fourth biggest value in -2, g, -0.1, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(sqrt(8) + (sqrt(120)\/sqrt(3))\/sqrt(5)))\/((-2*sqrt(72)*-6)\/sqrt(12)).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k - k**3)*(4*k**2 - 2*k**2 - k**2) + (28*k**2 + 13*k**2 - 70*k**2)*(-205*k + 205*k - 8*k**3).\nAnswer: 231*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + g + 121 = -11*i, 5 = -g. Calculate the greatest common factor of i and 106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 2 (c) 11 (d) -10.96 (e) 6\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 163*j**2 - 135*j**2 + 564*j**2 + 3*j**3 + j + 192*j**2 - j**3 as w + g*j + o*j**3 + d*j**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 1)*(3 + 2 + 2)*(-6 + 3 + 11)*(0*y - 2*y + 0*y)*(-19*y - 25*y + 4*y) to z*y**2 + v + x*y and give z.\nAnswer: -8960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -2085466.\nAnswer: 22940126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.052500906 or 4?\nAnswer: -0.052500906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 4*y. Let h be o(4). Suppose h = -4*v + 16, -2*c - 2*c - 3*v + 12 = 0. Suppose -135 = 8*l - 11*l. Solve 5*r + l + c = 4*b, 0 = -r - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1 + 3 - 4*t**2 + 44*t - 6 - 3*t**3 - 41*t. Let j(g) = g**3 + g**2 - g + 1. What is -4*j(r) - l(r)?\nAnswer: -r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -394*r**2 + 1180*r + 34. Give x(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2086 + -2.3374. Let q = 2.5 + l. Round q to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1006*c - 1054*c - 1104 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 - 3*p**2 + 4*p - 4. Let s(g) = -g**3 + g**2 + g - 1. Give 4*s(k) - t(k).\nAnswer: -2*k**3 + 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - d + 20 = -5*d, -3*v - 2*d = -62. What is the second smallest value in v, 2.2, -2\/7?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7782601 or 7782599?\nAnswer: 7782601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 17*r**3 + 3828*r**2 + 664*r - 2657. Give v(-225).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3840 and 120?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and -3 + 1 - (-84)\/2?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4854 by -1618.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 331, 3, -2, 5 in decreasing order.\nAnswer: 331, 5, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n - 5*d + 15, 0 = 3*d + 12. Let f = -5 - n. Solve -4 = -3*p + f*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 8861, -5, 3 in descending order.\nAnswer: 8861, 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -25*n**2 + 7*n + 8. Let l(g) = -g. Let q(y) = -5*l(y) - w(y). Let x be -1*5 + 22\/11. Is q(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 + 3*j. Let h be y(2). Suppose 0 = -0*u + 4*u + 8. Let b = -5 - u. Sort 2, b, h in increasing order.\nAnswer: b, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 58079, 7, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:45 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.015, -3, -1 in increasing order.\nAnswer: -3, -1, 0.015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1881 + -39734?\nAnswer: -41615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 1, i: 1, z: 1, e: 1}. Give prob of sequence qe.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 711*q**2 - 886*q + 8. Let p(v) = -237*v**2 + 295*v - 3. Let z(h) = -3*b(h) - 8*p(h). What is the second derivative of z(x) wrt x?\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*36\/(-2448))\/((-15)\/(12\/(-4))).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - v - 201, -3*y + 2*v + 123 = -v. Find the common denominator of 30\/y*260\/(-6) and -71\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1326*v**5*y - 5*v**5 + 4*v**3*y - 10*v**2*y + v**2 + 2*v*y + 3*y - 318 wrt v?\nAnswer: 79560*v**2*y - 300*v**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwrwwrw. Give prob of sequence rwwr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 2730.\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330977.7 grams to micrograms.\nAnswer: 330977700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 + 6*y**3 + 6*y**3)*(5*y + 8*y - 29*y).\nAnswer: -240*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1605*w - 3263*w = -129324 for w.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -58*v - 17. Let l be p(-5). Let z = l + -178. What is the remainder when z is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 - -185. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i + 14. Let q be d(-7). Let t = 1 - -2. Suppose -t*l + l = -12. Calculate the greatest common factor of q and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (-4 - -2))*(-2996 - -1). Let p = -1592 + v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 7*g**6\/15 - 2*g**2 + 7*g + 1. Differentiate y(o) wrt o.\nAnswer: 56*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -225*l - 2*l**3 + 84*l + 2 + 111*l in the form n*l**3 + j*l + m + p*l**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 3. Let i(z) = 5*z**2. What is i(b(g))?\nAnswer: 5*g**2 + 30*g + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6 = 0, 10*q - 3*n - 34 = 5*q. Let g = 0 - -1. Let i = 0 - 1. Sort q, g, i in ascending order.\nAnswer: i, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -6*k - 36, -21*y - 115 + 97 = 3*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 629\/148 - (-452)\/(-16)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 9:40 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293130 - 2*f + 613918 + 4*f.\nAnswer: 2*f + 907048","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 30 = 5*z, 13 = 5*z + b - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 - -100.\nAnswer: 100.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, 28, 97, 220, 409, 676, 1033, 1492?\n\"Answer: 2*v**3 + 9*v**2 - 14*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-151 + 122 - -41) + -125?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -3 - (-13)\/(-7). Suppose 3 = -2*d + 5. Let f = 0 + d. Is f bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -860*a*r*z + 32380*a*r + 2*a - 2*r - 20178*z - 79 with respect to z.\nAnswer: -860*a*r - 20178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - 22?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4 + 1266*m**3 + 25623*m**2 + 144660*m + 120300 = 0.\nAnswer: -401, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -32*a + 41. Let c(f) = 11*f - 14. Let j(l) = 8*c(l) + 3*w(l). Let q be j(-9). Is (q + 0)*(3 - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 431 - 187. Suppose -o - f = -1013. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29809 and 156?\nAnswer: 357708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5224449082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*s = -6. Let r be (0 + 1 + -2)*-6. What are the prime factors of ((-22)\/s)\/(2\/r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2199709 is divided by 24995?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 4875?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 13, m: 3, e: 3, g: 1}. What is prob of sequence ff?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 14*r - 13*r - 54 + 34, -80 = -4*r - z for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -17*u - 12. Let b(z) = 16*z + 12. Suppose r - i - 11 = 0, -2*r + 20 = 3*r + 2*i. Let w(t) = r*l(t) + 7*b(t). What is the derivative of w(s) wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 33. Let q(s) = 13*s**c - 25*s**3 + 11*s**3 - 7 + 0 - 9*s**2 - 16*s. Let l be q(-7). What is the highest common factor of l and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1, -0.03, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**5 + 5*g**5 - 2*g**5 + (4*g**3 - 2*g**3 + 0*g**3)*(-4 - 2*g**2 + 4) + 3*g**5 - 2*g**5 + g**5 + 8*g**5 + 339*g**4 - 339*g**4.\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*p - 81, 35*p - 36*p - 259 = -11*k. Solve 0 = 170*b - 162*b + k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1119 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4450 - 35351?\nAnswer: -44241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/42)\/((-2)\/6). Which is the closest to s? (a) 3 (b) -5\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 18. Suppose 4*r - 2*w - 90 = f, -w - 120 = -8*r + 3*r. Suppose 228 = 4*v - 2*t, -278 - r = -5*v - 2*t. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -14*j**2 - j - 1. Let f be g(-1). Let b = -2 - f. Suppose h - i + b = 2*i, 5*h - 4*i + 16 = 0. Solve -m - m = h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3\/7, 0, 0.11.\nAnswer: 0, 0.11, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6939413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15141948 plus -14?\nAnswer: -15141962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {o: 5, v: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**4\/12 - 2*g**3\/3 + 7*g**2\/2 + g. Let n(r) = 5*r**2 - r. Calculate the smallest common multiple of n(2) and q(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 77, 4561, -2\/27 in decreasing order.\nAnswer: 4561, 77, -2\/27, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173717320 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 4*x**2 - x + 9. Let h be s(4). Let v be ((-12)\/h)\/((-8)\/20). Put 0, -4, v in descending order.\nAnswer: v, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 53, 145, 283, 461, 673, 913, 1175?\n\"Answer: -h**3 + 29*h**2 + 12*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -35\/3, 2\/21, -1 in decreasing order.\nAnswer: 5, 2\/21, -1, -35\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3228)\/(-9415) - 12\/10?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 3\/92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-19)\/19*1*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001110110101011111 - -101?\nAnswer: 111001110110101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 554 = 4*x, -548 = -4*x - 6*u + 2*u. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24927 or -24928?\nAnswer: -24927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 42 = -57. Let m(f) = -2*f**3 + 3*f**2 + 4*f + 2. Let t(i) = -4*i**3 + 5*i**2 + 7*i + 4. Give p*m(h) - 3*t(h).\nAnswer: 2*h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/5)*p*p**6\/p*((p**(-6)\/p)\/p)\/(p**(1\/10)\/p) assuming p is positive.\nAnswer: p**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 0 = -4*w + 4, 5*h + 12 = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 6*c + 5. Let d be a(-5). Let o = -16 - -21. Suppose d*y - 30500 = -o*y. Round y to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(24)\/sqrt(3) - sqrt(8))\/sqrt(4))**2 + 1*(-1 + sqrt(2)) - (sqrt(2) - (-4 + -1 + sqrt(2)))**2*-3)*4.\nAnswer: 4*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 4:29 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5 + 158896*z**4 + 24836448*z**3 = 0. What is z?\nAnswer: -156, 0, 79604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23*25\/56350*-4?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r = 5*h + 25*r + 15, -4*h + 164*r - 167*r = -15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206658666 to the nearest integer?\nAnswer: 14376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73630861*s**4 - 753687444*s wrt s?\nAnswer: 883570332*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2518 (base 11) to base 16\nAnswer: cd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a factor of 49901327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 + 3*c - c + 1 + 3*c**2. Let r = 0 - 3. What is the remainder when z(r) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/19 - 190981256*j\/19 - 4559230017917192\/19.\nAnswer: -2*(j + 47745314)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + -1*(5 - 4). Let y(j) = j - 5. Calculate y(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k**3. Let h = -15 + 14. Suppose 4*a = -s + 4, 0 = -3*s - 3*a + 5*a + 40. What is the smallest common multiple of s and v(h)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.9 (b) -9 (c) -4\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-746*u**2 - 329*u**2 - 18*u**2)*(3*u**2 + 0*u**2 - u**2).\nAnswer: -2186*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41154 - 75431 = -4*l + 3*s, 5*l + 2*s = 145691. List the prime factors of l.\nAnswer: 7, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1795 + 2301.2. Round i to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 224? (a) 1 (b) 3 (c) 2\/2175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57602 by -347.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5.3, 3\/5, -3?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -50776442091 and 385.\nAnswer: -50776441706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40, -38, -34, -28, -20, -10, 2?\n\"Answer: r**2 - r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -11*d**3 + 3*d + 4. Let x(w) = -43*w**3 + 11*w + 15. Give 22*g(l) - 6*x(l).\nAnswer: 16*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -945 = 1225*l + 19880 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20844 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 414688?\nAnswer: 414685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098197818?\nAnswer: 2, 199, 2759291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -10*m - 1652. Let r = m - 562. Suppose -10*f = -14*f + r. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + n**2 - 2*n**2 + 31 to w + i*n + b*n**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + t - t)*(3 + 1 - 1) + 3*t - 2*t + 0*t to the form r*t + j and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30096 is divided by 37.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/12 - 2*z**3\/3 + 7*z. What is the second derivative of i(h) wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i - 10 = 0. Let m = i - -1. Suppose 23 = h - m*p, 4*h + 2*p = -3*p + 126. What is the remainder when h is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 8*x - x)*(2*x**3 - 4964*x**2 + 4966*x**2 - 6 - 1) as b*x**4 + d + w*x**2 + l*x + c*x**3 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9692 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: Let x be -12*(6\/(-3) + 3)\/(-10). Factor -x*m**2 + 2\/5*m**4 - 2\/5*m**3 + 4\/5 + 2\/5*m.\nAnswer: 2*(m - 2)*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3032181 and 15497814?\nAnswer: 139480326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -28. Does 10 divide (s - 0\/3) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -24*q**3 + q**2 + 2*q - 2. Let c be i(2). Let z be 1 - (c\/(-3))\/(-2). Suppose -d = d - z. Calculate the greatest common divisor of 144 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(13) + sqrt(78)\/sqrt(6) + -5 + (3 + sqrt(78)\/sqrt(6))*1.\nAnswer: 3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -3203*w**7\/70 - 11*w**5\/30 - 23*w**3\/6 + 8695*w**2. Find the third derivative of l(u) wrt u.\nAnswer: -230616*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 + 3*r**2 - 5*r**2. Let a(q) = 19*q. Let z(h) = -58*h. Let s(f) = -7*a(f) - 2*z(f). Calculate s(b(x)).\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5)*j*j**(-2\/11)*j*j*j\/(j\/j**(1\/5))*j*j\/(j*j*j*j**(-1\/2)*j)*j*j)**(-2\/27))**(31\/2) assuming j is positive.\nAnswer: j**(5053\/2970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*f - 753, 4*y = -4*f - f + 576. List the prime factors of y.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 1 + -7 + 20 + -3 - 14\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 9 - (-8 + 23 + (8 - 9 - 5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -324 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1261959*r**6 - 281989*r**2 - 2*r wrt r?\nAnswer: 151435080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3*(m**23*m)\/m*m*m\/m**(-4)*m**(11\/4) assuming m is positive.\nAnswer: m**(139\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 103995, 5, 11, 6 in decreasing order.\nAnswer: 103995, 11, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 31?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -141 + 250. What is a rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = c - 3 - 10, -47 = -3*c + 5*a. Let v(q) = 44*q + 58. List the prime factors of v(c).\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - b**2 + b + 13. Let k be s(0). What is the highest common divisor of k and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2 - 30689*x - 6395472 = 0 for x.\nAnswer: -207, 30896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-20))\/(1\/(8\/(-4)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*o = 29, -277*o - 14 = -4*c - 274*o. Sort 6, -2, c, 24.\nAnswer: -2, c, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5215 and 14251265?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 106*j**3 + 2*j**2 + 14*j - 15. Calculate the remainder when w(1) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 + -90. Let k be (-2 + g + 5)\/(-2 + -12). Is -129 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(384)\/sqrt(12))**2 + sqrt(8)\/(sqrt(12)\/sqrt(3)))*-4 + (-3*(sqrt(2) - ((sqrt(18) - sqrt(2)) + 1))*3)**2)*6.\nAnswer: 689 + 948*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1354 + 442241?\nAnswer: 444035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aabaababaakba. Give prob of sequence kb.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.04 - 0.04. Let i = 3 - b. Let x be 2\/5*(-6)\/(-4). Is x >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*n + 160*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34075, 68130, 102185, 136240, 170295?\nAnswer: 204350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuu when three letters picked without replacement from rfuurururrufcrucuurc.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 2. Let m be o(0). Let p(a) = 2*a + 2*a**2 + a**2 + 2 - 7*a**2 + 39*a**3 - 40*a**3. What is p(m)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448.16814 - 1256772.\nAnswer: -1257220.16814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 993 - 1028. What is the closest to 5 in y, -0.1, -5, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 8:54 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/96*(-38)\/19 - (-362)\/(-24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.64 * 1.9\nAnswer: -1.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*h - 6*y - 48, 5*y = 5. Suppose -5*b + 10*b = 0. Suppose -h*k + b*k = -540. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 2820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(-1)\/2*6. Suppose 0 = -5*x + 6*x. Suppose -3*z + 10 - 7 = x. Solve -4*b = -3*w + 18, m + z = -4*b + 2*w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2962 is divided by 231.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2\/7 - 3825126*s\/7 - 1219299076323\/7 = 0 for s.\nAnswer: -637521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 10*y + 3*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b - 32 + 31 - 15*b + 3*b + 58*b. Let p(y) = y**2. Determine p(q(w)).\nAnswer: 1681*w**2 - 82*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38522 less than 161200?\nAnswer: 122678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 280*s + 273*s + 9 + 321*s.\nAnswer: 314*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29\/120 - 1\/24. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -3.1\nAnswer: 0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -9, -5*l + 4*m = -65 + 13. Is 3 a factor of 1 - l\/4 - -10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -510.2 in 22, 2\/21, -2, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine fifths of a hour?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 12*h**2 + 23*h. Determine m(9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11101 + 11101. Solve 0 = -y*g - 4*g - 4*j + 20, 0 = 5*g - j - 31 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -1\/2, -336, -2\/3 in decreasing order.\nAnswer: -1\/2, -2\/3, -29, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*l - 64*l - 1032 = 0. What is the greatest common factor of l and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -266 = -201061\/755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**3 + 6*u**2 + 5*u - 3. Let o(h) = -h**3 + 9*h**2 + 9*h - 1. Let j be o(10). Let m be (j - -4) + -1 + 4. Is v(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*148643\nAnswer: 14864.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*w + 2421. Let k = w - 255. Calculate the lowest common multiple of 10 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 445, 1797, 4057, 7231, 11325, 16345?\nAnswer: 22297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k + 177. Is 3 a factor of w(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 12*a + 9 = 5*f, 4*f = -3*a + 6. Suppose -3*t = -2*j - 94, f*j = 1 + 11. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1184900 divided by -410.\nAnswer: -2890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*m - 3, -20*n - 4*m = -25*n - 33. Let p(j) = 2*j**2 + 6*j + 6. Calculate p(n).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b. Let s(m) be the first derivative of -m**4\/6 - 3*m - 3. Let h(q) be the first derivative of s(q). Give x(h(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + f + 24. Let s be l(0). Suppose -g = g + s. Is 13 a factor of (-1)\/(-2 + 1) - g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-3 - (6 - 4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o - c = -38*o - 16, -20*c = 4*o - 472 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 1. Suppose -3*t + 4*j - 10 = 2*t, 5*t = j + x. What is the third derivative of 2*s - 2*s**2 - t*s + 2*s**3 wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21772*i**2*z - 20732*i**2 + 3*i*z**2 wrt z?\nAnswer: -21772*i**2 + 6*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-4) + 15\/(12\/(-4)). Let g(t) = 5*t**3 - 8*t**2 + 1. Let w(o) = -7*o**2 + 1 + 2*o**3 + 0*o**2 + 2*o**3. Give b*w(c) + 6*g(c).\nAnswer: 2*c**3 + c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 - 20\/5 - (-9)\/(-9) is divided by (7\/(-2))\/((-2)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 3:25 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 > 2686\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 7)*(4*l - 4*l - 2*l**4).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-66))\/(35780\/118074).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 3, 2, -5, -3 in descending order.\nAnswer: 22, 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -29*g - 352. Calculate t(-14).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9.5 + -31\nAnswer: -40.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2646 + -2645.7. Let z = 3 - 5. Which is the fourth biggest value? (a) p (b) 0.08 (c) 0.1 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -34*y**2 - 3*y + 3. Let z(x) = 2109*x**2 + 185*x - 185. Calculate 185*s(g) + 3*z(g).\nAnswer: 37*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 - 64\/(-28). Suppose 0 = -18*u + 25*u - 182. Suppose l*f = u + 40. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*o - 2*o**2 - 24*o - 4*o**2 wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*p = 32, 4*r + 23*p - 22*p - 34 = 0. Let m be 477\/6 - 1\/(-2). Calculate the highest common divisor of m and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.3 - -20.7. Let d = -4.82 + f. Round d to one decimal place.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 - 1270279036.\nAnswer: -1270279156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 1 - 25 = 0. Let h(b) be the second derivative of 0 + 0*b**2 - 1\/6*b**t - b. Let g(q) = -q**2. Give g(h(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*r + 58*r = -6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149594*k**3 + 5*k**2 - 527546*k?\nAnswer: 897564*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**5\/240 - 845*s**4\/48 - 714025*s**3\/24 + 73*s**2 + s. Solve b(r) = 0 for r.\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 181 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b6d548 - 6?\nAnswer: 1b6d542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167936067 divided by 163521.\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539412?\nAnswer: 2, 3, 79, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 34*n**3 - n**2 + 6*n. Let u(g) = 32*g**3 - g**2 + 5*g - 2. Determine 5*k(i) - 6*u(i).\nAnswer: -22*i**3 + i**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87358)\/(-1116) + 7098\/(-91).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1361806*l - 402. Let a be t(-33). Round a to the nearest 1000000.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 1, q: 1, y: 1, k: 1, l: 2}. Give prob of picking 1 l and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + l - 41 + 28, -2*u = l - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 59, -754, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 99.\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -22*u**2 + 7*u. Let f(p) = -584105*p - 2. What is f(r(h))?\nAnswer: 12850310*h**2 - 4088735*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 29*t - 6. Calculate u(-16).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j - 5*s - 87, -j - 21 = -2*s. Let z = j - -21. Let o be (-1)\/z*(8 - 2). Which is the closest to o? (a) 0.3 (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c - 6. Let k be g(1). Let q be (-5 - -15) + k + 1. What is the third derivative of 2675*n**2 - 2647*n**2 - q*n**3 + n**3 wrt n?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*m**3 - 12216*m**2 - 591603*m + 56454 = 0. Calculate m.\nAnswer: -97, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.747 - -0.51?\nAnswer: -0.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 6 = 4*v, 13 = 3*l - 4*v - 9. Suppose 4*y - 6 = -l*m - y, 0 = 4*m + 4*y - 12. Solve -9 = m*p + 3*u + 3, -4*p - 21 = -u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 15) in base 8?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 17*v + 3. Let n be h(17). Suppose a = 0, -65 = n*f + 2*f + a. What is the nearest to -2 in 3, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5*w + 21, 4*w - 11 = -2*t + w. Solve -3*v - 8 = t*l - 2, -4*v + l - 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 90.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -724*w**4 - 77*w**2 - 64*w - 38536648 wrt w.\nAnswer: -2896*w**3 - 154*w - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*y**3 + 64*y**3 - 25*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -815*s - 2. Determine l(-1).\nAnswer: 813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + x**2 + x - 5. Suppose 3*k = k - 4*a + 28, -3*a = 3*k - 30. Suppose 4*y - k = y. Suppose 4*f - y*z - 1 = 5, -z - 3 = 2*f. Determine n(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, d: 4}. What is prob of sequence ddj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 10d5?\nAnswer: -10d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64*c - 1052 + 153*c + 324*c - 131*c wrt c.\nAnswer: 410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -11 - (-1 + -5 + 88 + -78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1728504747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + 3*j - 3*j)*(10 + 0 - 2)*(0*j - 8*j - 2*j).\nAnswer: -400*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*g + 3*h, g - 2*h - 16 - 2 = 0. Let r = -7 - -6. Let p = r + g. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2331 (base 4) to base 3\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 6:58 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.2 * 871.\nAnswer: -6271.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*c**3 - c - 3*c**2 - 4*c**2 + c wrt c.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q - 20 = -3*u, 0 = -4*u + 4*q + 28. Let k = 34315 - 33627. Calculate the highest common divisor of u and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, n: 5, h: 3, j: 4}. Give prob of picking 1 j and 1 o.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 692897890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5406009.08 + -283957?\nAnswer: -5689966.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - m - 2093 = 0, 4*m + 870 = -2*b - 194. Let l = -518 - b. Solve l*n + 8 = 4*i, -n + 5 = 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9 = 2*v, -4*v = -4*s + 12 - 4. What is the second derivative of 112*h + 9*h**4 - 9*h**2 + v*h**4 - 5*h**4 wrt h?\nAnswer: 84*h**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1687926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1336240515 - -4?\nAnswer: -1336240511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 - r**2 - 22*r**2 - 2*r**2 + 6*r**2.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36818985.\nAnswer: 3, 5, 7, 350657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - ((-27 - -73) + -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2437\/265 - -1\/265. Let k = -47\/5 + z. What is the nearest to -1\/4 in -3, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 4:52 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2637*-1.3\nAnswer: 0.34281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/45*486\/36?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:38 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgz when three letters picked without replacement from mxxxmmgzxym.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 8*c - 1106. Let y = -107 - c. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6188 or 6204?\nAnswer: 6188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 1\/4 (c) 2\/3 (d) -0.72 (e) -0.011 (f) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**4)**(-7\/4))**(-14))**23 assuming f is positive.\nAnswer: f**(-3381\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5080*a*g + 262*g + 5 wrt a?\nAnswer: -5080*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 612.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 + 1)*(0 + 2 - 4)*(0 + 3 - 5)*(-2 + s**5 + 2 + (2*s**3 + 3*s**3 - 3*s**3)*(4*s - 4*s - s**2) - 5*s**5 + 4*s**5 + 4*s**5).\nAnswer: 80*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3207*z**2 - 6*z - 4777. Let y(r) = -6413*r**2 + 11*r + 9551. Let b(t) = -11*s(t) - 6*y(t). Find the first derivative of b(f) wrt f.\nAnswer: 6402*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-9))\/(3\/9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 44. What is the remainder when 84 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 15950.\nAnswer: 207350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066749625?\nAnswer: 5, 433, 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*c - 24, 140 = 4*f - 0*f + 3*c. Let u be (-6 - 0)*4*-2. Calculate the highest common factor of f and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6415174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1304.7 + -1246. Let h = m - 55. Let a = h - 5.7. What is the nearest to 0.1 in a, -2\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 338\/21 + 32\/21*y**2 - 208\/21*y.\nAnswer: 2*(4*y - 13)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 149 = -169, 4865 = 3*f - 5*q. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 700 divide 24892000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, c: 4, f: 2, w: 3}. What is prob of picking 2 f, 1 t, and 1 c?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 5*b + 2. Let z be s(5). Solve z*r - 5*g = -0*r - 17, -2 = -4*r - 2*g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times 43627020\nAnswer: -3926431.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2275 = -61*v + 48*v. Does 25 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1272, -3887, -6502, -9117, -11732?\nAnswer: -14347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1491 times 1011\nAnswer: -150.7401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8061 is divided by 290?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 71.\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1948.2823 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1\/11 (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 14 = -4*a + 14, -3*a - 4*f = 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/528 and -103\/203544?\nAnswer: 407088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 24. Let z be ((-72)\/16)\/(k\/(-20)). Solve 0 = 5*r - z, -2*v + 2*r - 9 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g = 26*g - 13*g + 35 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011000101011 - -100001000011?\nAnswer: -11110111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28809 and 2475.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 29 - 26 = 105 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*r - 12. Let l be ((-1)\/2)\/(r\/(-12)). Suppose -5*b = -5, -l*b = 5*u - 2*u - 12. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -29) + -24 - ((-5 - 42) + -12).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 89 = 3*t - 2*t, t + 26 = o. Is o - 0\/(-3) - 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 15 - 4 = y, -5*i - 15 = -5*y. Find the common denominator of (16\/(-5) - y)\/((-14)\/(-5)) and 3 - 218\/12 - 2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 11880 = y. Let r be (((-246)\/y)\/(-41))\/((-11)\/(-4)). Are 1 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/65*6285\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.637 - 0.03. Let v = 144 - 143.4. Let q = m - v. What is q rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-12 - -8) + 6 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4415537680 rounded to the nearest one hundred thousand?\nAnswer: -4415500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g\/(g\/(g*g**(6\/7)))*(g**(-25)*g)\/g*g**(4\/7)*g**14 assuming g is positive.\nAnswer: g**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -21999*d - 2. Let a be t(2). Round a to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/u**(-5\/3))*u**(1\/2)\/u)**(1\/16)*(u**1)**(-2\/95)*(u\/u**(-2\/9)*u)\/(u\/(u\/(u**2\/u))) assuming u is positive.\nAnswer: u**(30869\/27360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, s: 2, x: 1, y: 2}. What is prob of picking 1 z, 2 y, and 1 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 72.18.\nAnswer: -288.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 63.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12134 + 14655 = -769*j + 643 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2160\/(-945)*(-7)\/2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6173\/18 + 343. Put -1\/6, 3, y in ascending order.\nAnswer: -1\/6, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 - 546*b**3 + 3.\nAnswer: -546*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -7. Suppose 7 = 5*b - 2*f, 2*f = -2*b + 3*f + 2. Suppose 5 = -2*s + b. Put m, s, -5 in increasing order.\nAnswer: -5, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - 12524*n + 37 + 43.\nAnswer: -12524*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 6 + ((-40)\/280)\/((-48)\/4039).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y - 3. Suppose 4*v + 14 = 6, -4*b - 1366 = -5*v. Let n = b + 341. Give c(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -234665\/146808 + 5\/4078. What is the common denominator of 10\/21 and p?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.5 - 15.3. Let g = -557.5 - -557. Which is the closest to 2? (a) t (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtiggirl. What is prob of sequence ii?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 6 + 5 + 3 + -8 - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(1 + -4) + 2. Suppose 4*g - 18240 = -4*b, -53*b = -50*b - 5*g - 13712. Let r(l) = 2283*l + 3 - b*l + 2285*l + l**2. What is r(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1584) + 0 - sqrt(1584)) + sqrt(1584))**2 + 0 + (sqrt(1584)*1 - sqrt(1584)).\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z + 6. Let o(g) be the third derivative of 7*g**4\/24 - 5*g**3\/6 - 8*g**2. What is -6*o(k) - 5*v(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1379, -1, 7, -6.3, 0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852 divided by -2718?\nAnswer: -926\/1359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 6. Suppose -4*g = -2*f + 10, g - 2*f - 3*f - 20 = 0. Give r(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 390, 393, 396, 399?\n\"Answer: 3*w + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27225, -54452, -81679, -108906?\n\"Answer: -27227*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -3.605\nAnswer: 1.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1124018 and 0.1?\nAnswer: -112401.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 - (-1 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + sqrt(80).\nAnswer: -5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*k + 4*z, -4*k + 129*z = 125*z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3101104 (base 9) to base 4\nAnswer: 12103312222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -8. Suppose -3*n + 6 = w, 3*w - 4 + 1 = -4*n. Solve -20*u**2 - 24*u**n - k*u**4 + 0*u**5 - 30*u - 2*u**5 + 24*u = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**5\/30 + 3*z**4\/10 + 8*z**3\/15 + 173*z**2\/2 - 205. Let p(g) be the second derivative of i(g). Factor p(l).\nAnswer: -2*(l - 4)*(5*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3660, -12, 17, -3, -2, -1 in descending order.\nAnswer: 17, -1, -2, -3, -12, -3660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 - 40742?\nAnswer: -40708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/511 and -7\/7811.\nAnswer: 54677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54155 plus -0.1395829?\nAnswer: -0.6811329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 104*g + 1157. Calculate the remainder when 234 is divided by t(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41924816, 83849627, 125774438, 167699249, 209624060?\n\"Answer: 41924811*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -1\/4, 1\/2, 2\/57, 0.21 in increasing order.\nAnswer: -1\/4, 2\/57, 0.21, 1\/2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**3 - 4*w**3 - 5*w**3)*(1 + 0 - 5) - 3*w**3 + w**3 + 4*w**3 to u + d*w + g*w**3 + x*w**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -2*j + 63. Let x be j + (-2 + 3 - 3). Suppose -x = -3*w - 7. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t - 124*t = 101*t - 985 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*h + 360 - 360 + (-3*h - h + 2*h)*(2 + 1 - 5).\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389304693.\nAnswer: 3, 23, 73, 25763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 0*r - r**2 - 3*r + 4 + 5*r - r. What is the remainder when 13 is divided by x(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 4. Let d(y) = -3*y + 3. Let v be d(2). Let a be u(v). Let w(j) = 0*j**2 + 4*j**a - 3*j**2 + j**2. Let i(n) = 2*n**2. Give w(i(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5\/7 + 7472*o**4\/7 + 271248*o**3\/7 + 475336*o**2\/7 - 1326484*o\/7 - 219720 = 0. What is o?\nAnswer: -1831, -35, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2 - 4. Suppose 0 = -3*h + m*h + 13. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l - 10797 + 21593 - 10794.\nAnswer: -6*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-3))\/((-6)\/(-27)). Let g be 21\/12*h\/(-21). Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4 - 0, l = -2*n + 1. Let h be -1 + -14 - (n + (8 - 8)). Let w be (-37)\/4 - h\/(-20). Let b(c) = c**2 + 10*c. What is b(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**2*l**2 + 349373*f**2*l + 5*f*l**2 + 17304*f*l + 2*l + 2 wrt f.\nAnswer: 4*l**2 + 698746*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5 = 2*l, 5*l - 38*z + 39*z = -23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -v - 4*v + 866, 5*v = -4*i + 872. Suppose -233 = 2*m + 13. Let d = m + v. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 1:58 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-160)\/(-28))\/1 + (-4)\/(-14). Solve -p*q = -8*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 24 + 28 = 20*q, -8*q = 5*m + 127 - 163 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 8, 26, 56, 98, 152?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 20*u**2 - 11*u + 24. Determine c(20).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1809 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 246*n**2 - 2125*n + 1888. Give r(-237).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 3*f - 13, -3*f - 19 = 16*c - 20*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r - 16 - 23 = 47*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -3*m + 36 + 38. Which is the biggest value? (a) -2\/19 (b) -6\/11 (c) -4 (d) m (e) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6240 and 95952?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 885*d**3 - 6*d**2 - 5. Let h(a) = 1771*a**3 - 13*a**2 - 11. Calculate 6*h(g) - 13*u(g).\nAnswer: -879*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*y + 5*q, 5*q - 29 = -4*y - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-1))\/(6 - (6 + 1)). What is the closest to 2\/7 in 2\/9, l, -2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2. Let z(y) = -2*y**2 - 3*y - 12. Let u(l) = 3*c(l) + z(l). Let w = 2310 - 2302. What is the remainder when 110 is divided by u(w)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58.056 and 1.\nAnswer: -58.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -138, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - 2)\/2*-10. Suppose 15 - t = -5*j. Suppose 0 = -3*h - j*l + 245, -3*h - h - 3*l = -334. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*v - 822 - 5487 = -1039 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134971 divided by 1.\nAnswer: -134971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 + 226*d - 51076.\nAnswer: -(d - 452)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*10.4\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -438 - -718. Let u = c + -234.4. Let q = 50 - u. Round q to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -281.\nAnswer: 2\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1648545 and -131\/325752492.\nAnswer: 1628762460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -660 + 26?\nAnswer: -634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvmmfimmmmmffvmfvmm. What is prob of sequence fiv?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4578 = -1645*i + 47348 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4*i + 8 = 0, 3*i - 2 = 3*k + 4*i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/243 and 23\/10491?\nAnswer: 849771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ssookokso?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -9*g + 52. Let i be s(7). Which is greater: -104\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -69, -93, -117?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50208641?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3. Let v(q) = q - 4. Suppose 3*f = 4*c - 8 + 26, -4*f + 23 = -5*c. Let m(l) = c*v(l) - 4*p(l). Let y(r) = -r**2. Give m(y(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 725052 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5090 less than 5090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*r = -42, -23*r + 40 = 3*g - 18*r. Solve -5*q = -5 + g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -29, -31, -43, -71?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -831 + 834. Solve -t*g = z + 4*z, 0 = -3*g - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-26)\/(-4) + -3)*(88 - 74). Solve 3*r - c*a + 10 = -2, -4*r + 6 = 2*a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 47 + c - 4*c**3 + c**3.\nAnswer: -3*c**3 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 851225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-31)\/2)*(-82)\/(16892\/(-103))\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4660.395 rounded to the nearest ten?\nAnswer: -4660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 + 16 = 0. Let j be 2\/10 + 524\/p. What is the greatest common divisor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 171320 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -18*i + 16*i. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12662992300 rounded to the nearest 1000000?\nAnswer: 12663000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2768 + -2759.604. What is q rounded 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 divisor of 41813124 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -7. Suppose 5*i + b - 15 = 0. Suppose h - 3 = -i*h - 3*a, 0 = h - 4*a + 4. Solve h*m = 4*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1\/(-1)*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 262, -0.5, -1 in increasing order.\nAnswer: -1, -0.5, 2, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - 4\/(-20)*-5 - -2691?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 + 2*n**2 - 2*n. Let d(m) = m**2 + m - 5. Let i be d(6). Let w = 44 - i. Let o(z) = -9*z**3 - 7*z**2 + 7*z + 1. Give w*b(p) + 2*o(p).\nAnswer: 3*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 - 75*u**2 + 47*u + 55. Give s(37).\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*s - 0*s - 30, 0 = 2*s - 3*h - 2. Let i be -2 + s - 2\/(-2). Suppose -2*u + 0*g + 6006 = -i*g, u - 2994 = -3*g. Round u to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -383*n. Let s(v) be the third derivative of v**5\/30 - 51*v**2. Give p(s(y)).\nAnswer: -766*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 7761*m**3 - 2*m - 3*m**2 + 7758*m**3. Let r(h) = 5*h**3 + 8*h**2 + 4*h + 1. Let u = -10 + 17. Let z(f) = u*x(f) + 4*r(f). Give z(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1179602 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687868813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-97)\/11 + (-2)\/11. Let p be (-22)\/(-6) + 1\/3. Let w = n + p. Let s(t) = -t - 7. What is s(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 69187?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 71. Suppose 5*k - 30 = 2*m, -k + m - 13 = -2*k. Suppose 7*l = k*l - 39. What is the highest common divisor of l and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 6*b + 40. What is the closest to -0.1 in -1\/8, 1, b?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 63.1?\nAnswer: 66.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 3*y - y)*(2*y**3 + 0*y + 0*y) - y**4 + 9*y**4 + 3*y**4 in the form d + s*y**3 + a*y**4 + u*y + p*y**2 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 281*v**3 + 186*v**2 + 23300*v?\nAnswer: 1686*v + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -112210 divided by -8015?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*60\/(-120)*(-3)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 37, 78, 121?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/4*(-15)\/((-1275)\/17)*40\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (36 - (31 - 16)) - -34.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5016\/825 - (-2)\/(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -131, -486, -1057, -1832, -2799, -3946, -5261, -6732?\n\"Answer: 2*u**3 - 120*u**2 - 9*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 6 + 10. Let g be (8\/(-10))\/(c\/(-10)). Suppose 2*s - d - 43 = 0, -2*s = -5*s + d + 65. What is the highest common factor of s and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 21*b**2 + 8*b - 49. Suppose 3*p = 18*p + 330. Is 11 a factor of w(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*x**5 - 1934*x**4 + 253028*x**3 - 2057240*x**2 - 239707504*x - 95537600 = 0. Calculate x.\nAnswer: -284, -25, -2\/5, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 602, 1\/24, 3\/11, -0.013?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -461*q**3 + 932*q**3 - 472*q**3 - 98*q - 2*q**2 + 3 to the form s + d*q**3 + r*q**2 + o*q and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -250.7 and -2485680771.\nAnswer: -2485681021.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/((-1)\/9517306). Suppose -11536284 = 16*c - 154394732. Let d = c + n. Round d to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*i = -50*i. Suppose -d + 4*j - 2450016 = 0, d + 5*j + 1183079 + 1266901 = i. Round d to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2814480*l**2*u**2 + 12*l*u**2 - 64*l*u - 2*l + 2*u**2 + 985 wrt l?\nAnswer: 5628960*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*-1 - -5*(sqrt(5) + sqrt(5)*2).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.68 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9673575 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45825 is divided by 22909?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -16*u**2 - 162*u + 62. What is x(-16)?\nAnswer: -1442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776439 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -239, -1 in descending order.\nAnswer: 4, -1, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 23 - 17. Let b = -133809 - -133821. Calculate the lowest common multiple of b and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007569002 rounded to 7 decimal places?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/349, 13, 2, 4\/7, -11, -1 in ascending order.\nAnswer: -11, -1, -3\/349, 4\/7, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 717 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 620 - 9315905*i + 280 + 9315911*i.\nAnswer: 6*i + 900","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k + 270 - 21967. Let s = -510 - k. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/11, 1087, 7, -1\/29, -4, 1, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-98)\/(-28)*4 - 12. Solve -i*d = -38*d - 72 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(156) + sqrt(156)*-2))\/(sqrt(24)*-2))\/(4*(3*sqrt(32)*-3 - sqrt(32))).\nAnswer: -sqrt(13)\/640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -97046237 to the nearest 10000.\nAnswer: -97050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*t - 24*t + 54*t.\nAnswer: -106*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 9*y + 42 = -53*t + 50*t + 11, 0 = -t - 7*y + 33 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/17 (b) -25 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/6 - (-4)\/(-12). Let c be 30\/8 - l\/(-4). Suppose 0*f + q = f - c, 0 = 3*f + 2*q - 12. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*50\/4200*(-882)\/21\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.36 + 5.4. Let z = -0.54 + m. Which is the second smallest value? (a) 0.03 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0828, -1\/4, -1\/7, -3 in increasing order.\nAnswer: -3, -1\/4, -1\/7, 0.0828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42450 is divided by 3265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, -5, -2\/15, -1.1, 4\/7 in descending order.\nAnswer: 4\/7, 2\/25, -2\/15, -1.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13ad - e?\nAnswer: 139f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15 = 9. Let c(w) = -w**3 - 8*w**2 + w + 11. Let q be c(l). Suppose q*b = 104 + 49. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0 - 1\/3*s**3 + 0*s**2 + s. Suppose i = 4*l + 2, 3*i - 4*l + 5*l = 6. Determine o(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1431, 1447, 1463?\nAnswer: 1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3697045993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 39*c + 23. What is r(7)?\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 8*t + 4655 = -4*t, c - 1551 = -2*t. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 5, 2\/7, -9.95, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g + 56 + 10 = 0. What is the second derivative of -55 - 54 + 99 + 0*m**5 + g*m + 3*m + 2*m**3 - 5*m**5 wrt m?\nAnswer: -100*m**3 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five sixths of a minute?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/472 and 10\/413.\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine tenths of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 3*t + 103, 4*t - 208 = 39058*m - 39051*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50087 + -34182. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/9)\/((-403)\/2418))\/((-6)\/(-396)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 12 + (-7 - -4) - (1382 - 1374)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 4*y + 18, m - 14 = 2*y - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1088) + sqrt(1088) + (-2*(sqrt(1088) + 2))**2) - (2*-2*sqrt(1088) - sqrt(1088)*-2*4).\nAnswer: -17472 - 608*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85112731 to the power of 1\/3, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1429, -2, -21, 0 in ascending order.\nAnswer: -1429, -21, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -459, -460, -471, -498, -547, -624?\n\"Answer: -m**3 + m**2 + 3*m - 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119948 is divided by 93?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y - 47. Let p be v(-5). Let s(c) = -2*c**2 + 4*c. Let k(l) = l**2 - l. Let d(g) = -g**2 + 4*g - 1. Let i(h) = d(h) - k(h). Give p*i(z) + 3*s(z).\nAnswer: -2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-5) - (-96)\/120. Sort -66, 4, j in decreasing order.\nAnswer: 4, j, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*q + 4 + 2, 0 = j - q - 3. Suppose 0 = -2*y + w + 13, 5*y - j*w = -0*y + 35. List the prime factors of 5\/2 - y\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2054 - -2417. What is the lowest common multiple of s and 66?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314804400.\nAnswer: 2, 3, 5, 262337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 - -144. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7920\/31 + 1687\/155. Let w = h + 243. Put 1\/10, 3, w in descending order.\nAnswer: 3, 1\/10, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507 is divided by 179?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = 5. Let z = 3 - -1. Suppose -j*u + z*u - 230000 = 0. What is u rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.999999609 - -30. What is q rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -212.446 - -0.446. Let p = j + 217. What is the nearest to 0 in -0.3, p, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, q: 1, k: 6, z: 4, g: 1}. Give prob of sequence yqz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343516.\nAnswer: 2, 157, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -346 (base 14) in base 8?\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 61\/(-1708) - 5\/7*42\/(-105)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 394, 847, 1362, 1939, 2578, 3279?\n\"Answer: 31*v**2 + 360*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 3. Let q be (h\/(-4))\/(5\/(-10)). Is q greater than -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 - 292*i + 1130. What is the lowest common multiple of s(4) and 2522?\nAnswer: 2522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - (-1595020)\/45570)\/(3\/13653) + (-14)\/2.\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -0.6. Let t be 9\/(-6)*2\/5. What is the closest to f in t, 4\/7, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 + -106. Sort -3, q, -2, -5 in increasing order.\nAnswer: -5, -3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000752401517 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 62017016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bb22 (base 13) in base 8?\nAnswer: -242350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(335\/536)\/((-2)\/16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5738579 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 458461, -2\/7, -0.3, -3\/7 in increasing order.\nAnswer: -3\/7, -0.3, -2\/7, 458461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 224*d**2. Let v(q) = 148*q. Give v(i(w)).\nAnswer: 33152*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/2206 and -99\/55150?\nAnswer: 55150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*z - 23*z - 26*z = -30 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211202557.\nAnswer: 61, 3462337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 7:59 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + 1*sqrt(2057))*-5 + -2 + (((sqrt(2057) - (2 + sqrt(2057)*-1)) + sqrt(2057))**2 - (sqrt(2057) + -1 + (sqrt(2057)*3)**2)).\nAnswer: -198*sqrt(17) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + o + 3 = 0, f - o - 3 = -0. Let u be (-33)\/(-9) + (-3)\/(-9). Sort 3, f, u in descending order.\nAnswer: u, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5472)\/(-1824)*4*(0 - 85\/30).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 2:38 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19722)\/380 + 52)*1 + 302\/(-20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5273 or -5275?\nAnswer: -5273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.24 + 1.76. Let s = 41.928 + -42. Let d = s - 0.928. What is the closest to v in d, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Let p = -2.7 + 2.7. Which is the nearest to p? (a) y (b) -1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 117680.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -10101?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 0, 2*t - 4*h = -2*t + 4 + 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1041*h**2*s + 11*h**2 + 4*h*s - 3*h + 2*s + 2620 wrt s?\nAnswer: 1041*h**2 + 4*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3111196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 times 0.0334?\nAnswer: 21.5764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -17 - -34 - (109 + -76)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 706.065 millilitres?\nAnswer: 0.706065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 14. Let c be o(5). Let k = c + -27. Solve 2*m + l - k = 0, 3*l + 10 = 3*m - m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 16*y**3 + 22*y**3 + 2*y - 8*y.\nAnswer: 6*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 4, 101, 13, 1, 0 in decreasing order.\nAnswer: 101, 13, 4, 1, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5\/3 (b) -2 (c) 1\/6 (d) -0.4 (e) 3 (f) 2\/237\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 + 45*r + 21. Give t(13).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/53511 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 502360 and 209570.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4232417 (base 8) to base 5.\nAnswer: 242041240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 334 = -5*t, -t - 5*g + 20 + 26 = 0. Which is smaller: t or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 4*w + 140, 4*w - 971 = -5*o - 1199 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 41157.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4016 and 5773?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2549 - 6?\nAnswer: 2543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1164, 1032, 812, 510, 132, -316, -828?\nAnswer: -1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.3974 hours in nanoseconds?\nAnswer: 588230640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 1:10 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*b + 0*b - 2*b)*(-1 + 3 + 0) + 4*b - 5*b + 0*b)*(-176 - 250 - 71).\nAnswer: -497*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-37)\/(-6) - (-5)\/(-30). Suppose -16 - 6 = 3*s + y, s = 3*y + c. Sort s, 3, -4 in descending order.\nAnswer: 3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-2) + (-30)\/(-5). Suppose -3*x = 4*r + 41, s*x - 3*r + 88 = 10. Let b = 46 - x. Calculate the remainder when b is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3650 - 3645. Solve 2*w = 3*x - 6, -12 = -w - h*x - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1*sqrt(19))**2 - (sqrt(19) + 0 + 1)**2) + (sqrt(76)*-2 - sqrt(76))\/sqrt(4) + (2*sqrt(171))\/sqrt(9).\nAnswer: -9*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 762 and 2286?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 20*b**2 + 10*b + 26. What is the hundreds digit of z(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2295 divide 1591562858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 5*i**2 + 3*i - 6. Let t be k(7). Let h = -49 - t. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131687\/230342 + -9\/32906. Find q such that 5\/7 - 1\/7*q**2 - i*q = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - v + 4 = 0, -2*v = -2*r - 9 + 1. Let z be 0 + 5\/(1 + r). What is the first derivative of i**2 + 2*i**2 - z*i**2 + 4*i**2 - 1 wrt i?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-36)*(-65 + -23 - -241)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 76*j**2 + 1700*j - 6171. Determine h(14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -825?\nAnswer: 412.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2999, 2161, 761, -1195, -3701, -6751, -10339?\nAnswer: -14459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 3:44 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10354*u - 10354*u - 250*u**2)*(u**3 - 3*u**3 + 3*u**3).\nAnswer: -250*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 12*p**2 + 25*p + 22. Calculate y(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 3*s - 4. Let d(a) = a - 7 - 1 + 5 + a. Let j be (-11)\/33*6*-2. Suppose 0 = n + 3*c + 8, -c - j = 4*n + 4*c. Determine n*d(m) - 3*p(m).\nAnswer: -3*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 31161.\nAnswer: 10\/31161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 4. Let s = 11 + -16. Let g(a) = a**2 - 5*a - 1. Let k(j) = 4*j**2 - 30*j - 11. Let x(v) = 6*g(v) - k(v). Determine s*u(l) + 4*x(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**2 + 2*a**2 - 10*a**2 + 12*a**3 - 2*a**4 to the form u*a**2 + h*a**4 + i + x*a**3 + v*a and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 17*g + 32. Determine b(18).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*f = 16, -12 = -z + 4*z - 2*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (2 - 11\/(-9)). Let a = -3 - -3.2. What is the nearest to y in a, -1, -2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6588)\/(-4026))\/((-80)\/704)\nAnswer: -72\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**3\/5 + 1854*h**2\/5 - 1145772*h\/5 - 584. Determine k so that r(k) = 0.\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 234.50317 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*((-2)\/1)\/2. Let o = 12 + c. Calculate the remainder when 38 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, j: 6}. What is prob of picking 2 j?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y. Let h(m) = m**2 + 3*m + 3. Let i be h(-3). Suppose -i*s = -3*f, -19 = -5*s - 3*f - 3. Let z(p) = -124 + s*p + 124. What is z(l(k))?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhtn when four letters picked without replacement from {n: 2, v: 2, h: 4, t: 2}?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1690 divided by 65.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 196.6 - -699.4. Let x = n - 895.9999421. What is x rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48 + 5?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 837850309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1 = -5. Let a(j) = -13*j**2 - j - 4. Let g(v) = 6*v**2 + 2. Let h(k) = 2*a(k) + 5*g(k). Determine h(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1585, -1591, -1599, -1609, -1621?\nAnswer: -1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -20. Let h = 63 - -47. Suppose -5*v = 5*u - h, 6*v - 3*v = -u + 14. Solve 10 = -2*d - 4*f + u, 4*f - 16 = b*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -d + 29 - 6, u = 5*d - 19. Suppose -2*k = -d*n + 10, -5*k - 1 + 10 = n. Solve -n*r - 10 = 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1441, -1435, -1425, -1411, -1393, -1371, -1345?\nAnswer: -1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -203425210 (base 7) in base 14?\nAnswer: -1833407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*p**2\/5 - 58*p\/5 - 34\/5.\nAnswer: -2*(p + 1)*(12*p + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2786\/796)\/(1\/2)*-141*1\/(-21)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13896.18 * -4.\nAnswer: -55584.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 8*g - 62. Let o be d(13). Solve -o = w - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -18538?\nAnswer: 18533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 117, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1623*g*o**2 - 7*g*o + 3079*g - 74113*o**2 - o + 14 wrt o?\nAnswer: 3246*g - 148226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1253 - 0?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((3\/(3\/(-2)))\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o. Let w(n) = -9*n - 2. What is 2*j(q) + w(q)?\nAnswer: -7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -827\/3 - -282. Let l(q) = -q**2 - 169*q - 815. Let b be l(-5). Is j at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 5*o, -234*t - 5*o - 2 + 2 = -237*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 60, 127, 222, 345, 496?\nAnswer: 675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -1\/8, 44, 0.7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*o = 21123 - 16305 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1576 + -1580. Which is smaller: 3\/8 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 1 = 4*m - m, 4*m - 3*i - 7 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -194*n**4 - 2*n**2 + n wrt n?\nAnswer: -4656*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - (82 + -65)) + 62 + 1.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2102414*i - 2*i**5 + 86*i**2 - 102*i**4 + 2102414*i wrt i.\nAnswer: -120*i**2 - 2448*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/8)\/(140\/(-1120)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let l(j) = 6*j. Let o(w) = 2*b(w) - l(w). Let i(z) = -2*z. What is i(o(f))?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2231 = -4*v - 5*s, -5*v = -3*s - 5624. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9176*y**2 - 9176*y**2 + 66*y**4 + y**3 + (y + y**2 - y)*(2*y**2 - y**2 - 3*y**2) in the form b + u*y + o*y**2 + r*y**3 + t*y**4 and give t.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 11*u + 15348 = 15291, 3*u + 15 = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5)\/r)\/r)**25\/(r**(2\/27)\/r**(-1\/8)) assuming r is positive.\nAnswer: r**(-8683\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8630713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -j - 0, 3*z + 2*j - 876 = 0. Suppose -z = -a + 3*n - 8*n, 859 = 3*a + 4*n. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 11. Let a be i(9). Let b(f) = 2*f + 2. Let z be b(a). Calculate the lowest common multiple of z\/4*(-2 + 0) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 + -50. Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*b + 1826 = -61*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 763488 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 - (5 + (1 - 3)) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/24 and -63\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of (190\/475)\/((-1)\/32100*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 56*a - 687. Let j(l) = -49*l**2 - 3*l. Give c(j(p)).\nAnswer: -2744*p**2 - 168*p - 687","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -428448*c**2 + c. Let i be y(1). Let a = -850810 + i. Let w = a - -1859257. Round w to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13608, 11839, 8888, 4755, -560?\n\"Answer: -591*k**2 + 4*k + 14195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 15227 - 5970 = 0. Let h = -7767\/4 + u. What is the common denominator of 18\/11 and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 4*l + 3. Let y be h(4). Suppose -5*r = -y*f, -4*f - 6*r + 35 = -r. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i\/(i*i**(-8))*i)\/i*i)\/i)**(3\/20) assuming i is positive.\nAnswer: i**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 788740415 divided by 157748083?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/7 + (1 - 2). What is the second biggest value in w, -2, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a81 (base 16) to base 4.\nAnswer: -222001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*u + 5*w + 18, -2*w + 8 = 5*u. Suppose 2*i + u = 2*v - 0*v, 0 = v - 4*i + 2. Solve a - v*a = 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 0, -5*a + 4*a = -b + 183. What is the remainder when b is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*k + 75. Suppose 0 = 5*h + k, -2*a - 3*h + 2*h + 47 = 0. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6086794 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1763, 3169, 4583, 6011, 7459?\nAnswer: 8933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -t - 5*x, x - 9 = -2*x. List the prime factors of t.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 30940*y**2 + 13*y + 8538. Let p(g) = -18563*g**2 - 8*g - 5122. Let k(q) = -13*p(q) - 8*u(q). What is the first derivative of k(z) wrt z?\nAnswer: -12402*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300\/(-1600)*3\/((-162)\/(-24))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11292 is divided by 161.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*n + 165*n + 1 = 84*n + 3*p, 20*n - 440 = 2*p - 534 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*(-54)\/24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1242\/(-4))\/(6\/(-104)). Let u = -1561 + w. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63960 (base 13) to base 5.\nAnswer: -21221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9170899\/1172 + 7825. Let l = -20511\/1172 + r. Find the common denominator of 4*(-1)\/(-20)*7 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-140)*8 - (1035\/(-350))\/(-9).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 13 = 2*a. Let p be -1 + 2 + -3 - -3. What is the nearest to 0 in p, a, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**2 + 1. Let n = -11 + 12. Let l be m(n). Let o = l + 8. Solve -5*g = -3*x + 10, 4*x - o*g - 2 = 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 63.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23472.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 + 5568*c - 1. Let o(a) = -a**2 + 674. Determine b(o(f)).\nAnswer: -3*f**4 - 1524*f**2 + 2390003","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + y - 270 = 0, 389 - 19 = 4*q - 2*y. Suppose -2*g = 5*l - q, 3*l - l + 242 = 5*g. Calculate the highest common factor of g and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36.91 - -36.96516. What is h rounded to 3 dps?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 11060?\nAnswer: 66360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, -2, -7 in decreasing order.\nAnswer: 9, 5, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -217, -419, -605, -769, -905, -1007, -1069?\n\"Answer: w**3 + 2*w**2 - 215*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.814 + 37.2. Let w = -0.524 - n. What is the second smallest value in 0.1, -4, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 0 + (-56)\/(-20). Suppose -8*z + 37*z = 58. What is the smallest value in -1, -1\/3, s, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 3*q**2 - 3*q + 2. Let c be h(1). Solve -o - 8 = 3*p, -5*p - c = -4*o - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 1233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(9\/2)*l*l*l*l**(-6)*(((l\/l**(4\/5))\/l)\/l*l)\/l**(-11) assuming l is positive.\nAnswer: l**(117\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 96328, -3.\nAnswer: -6, -3, -2, 96328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.457 - -28.2. Let l = -0.057 - p. Do l and -40 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 344 and 6278.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1629.097901 rounded to 2 dps?\nAnswer: -1629.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**6\/360 - y**5\/120 - y**3\/2 + 3*y**2. Let b(r) be the first derivative of c(r). Determine b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2 - y + 1. Suppose 0 = 3*x + 2*x - 20. Suppose 0*b - b + x*s = -13, -3*s - 12 = -3*b. What is g(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1812, -17, -2 in descending order.\nAnswer: -2, -17, -1812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1138 = -4*l, 7*l - 2*l - 3*f = -1439. Let m = l - -286. Find o, given that m + 2\/25*o + 2\/25*o**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9676?\nAnswer: 2, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1338*z + 1335*z = 0. Solve 5*l = z, -3*d = -0*l + 4*l + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*n - 4 = 0, -3*w + 2*n - n = -41. Let y(t) = t**2 - 7*t - 11. Calculate the remainder when y(w) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4850 + -5224. Sort 4, 1, 5, i, -3 in increasing order.\nAnswer: i, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -60a - -7?\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from prnjjqfnjnnn.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -32*m + 112. Is t(-36) a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*(-2891)\/23128\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -59*a - 155. Let r(k) = 179*k + 468. Let y(u) = 7*g(u) + 2*r(u). Differentiate y(d) with respect to d.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15895, -15893, -15883, -15865, -15839, -15805, -15763?\nAnswer: -15713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -359 and -77032\/215 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 13 = -3*l, 0 = -3046*r + 3048*r - 5*l - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 8. Calculate the least common multiple of i and 90298\/3588 + (-2)\/12 + 0.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10.13397?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 156.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -240731?\nAnswer: -240736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188019?\nAnswer: 7, 23, 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -243.379 + -0.3.\nAnswer: -243.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -152 + 368. Suppose -11*p - c = -13*p. Is 32 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*s**3 + 238*s**3 + 605*s**3.\nAnswer: 1007*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 7*y**2 + 5. Let f be (7\/2)\/(22\/(-44)). Determine h(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.1 + -6.71. What is s rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -26 - (-14 + 2 + 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) + 11713\/51. Let i = 223 - f. Sort i, 3, -5, 5 in ascending order.\nAnswer: i, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1107.057ml to litres.\nAnswer: 1.107057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 690599, 2762213, 6214843, 11048489, 17263151?\nAnswer: 24858829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let n = 0.4 + -0.9. Let t = 3222 - 3222.2. What is the third biggest value in t, s, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 376\/14 - 1\/(-7). Suppose -3*p + 6 = 5*f - 0*f, 0 = 4*f - 5*p - a. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43120073\/44055 + 8809\/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 smallest common multiple of 2 and 2521?\nAnswer: 5042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - ((0 - -2) + -2). Let g be u + (19 - 6\/3). Suppose -3*m - s + 8 - 1 = 0, 0 = -4*s - g. Solve -m*p + 15 = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 3, 5, 651, -61 in ascending order.\nAnswer: -61, -1, 1, 3, 5, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4 - 20 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000041703 rounded to 6 decimal places?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 397\/12 in -3, 1\/4, -1\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 7*t**2 + 7*t - 4. Let u be p(6). Suppose u*c + 0*c = 16. Suppose 4*h - c = 0, 4*h - 2*h - 925 = -3*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3370 and 1590?\nAnswer: 535830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 537 + 279. Suppose -y = -6*j - 42. List the prime factors of j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnd when three letters picked without replacement from ttndtddnnntnn?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - 4\/(-12)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8 + 6 - 6*n**2 + 0*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**4\/3 - 2312*l**3\/3 + 668168*l**2 + 1564*l + 1. Factor z(p).\nAnswer: 4*(p - 578)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3614704181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -700, -2797, -6292, -11185, -17476, -25165, -34252?\n\"Answer: -699*b**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/(-152)*(-3)\/4. Let o = -17021\/14 + 8514\/7. Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-121)\/5445 - 132\/135. What is the closest to 0.042 in -0.2, o, 11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 24.2.\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3026130 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + 55. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 14935182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075 is divided by 373.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2394 and 11970.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x**2. Let r(u) = 16*u**2 - 17*u + 17. Let j(g) = -g**2 + g - 1. Let b(f) = -102*j(f) - 6*r(f). Calculate l(b(d)).\nAnswer: -288*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.94834 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*d + 256. Suppose -3*b + 65 - 64 = -5*z, -5*b - 4*z = 23. Let c be 0\/(-1 - -2) + -4. Sort d, b, c in descending order.\nAnswer: b, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*v + 4. Suppose 5*r - 123 - 37 = 0. Let b = -18 + r. What is the greatest common factor of b and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.19922 to 1 decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b - b = -25*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131.068 - 131. Let m = 0.168 - z. Let u = -2.8 - -0.8. Which is the third biggest value? (a) u (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 9*u**2 + 8*u + 4. Let y be i(8). Suppose 0 = 2*d + 6 - y. Let m = 12.2 + -11.8. Sort 1\/6, d, m in descending order.\nAnswer: m, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 2. Let n be (-6)\/21 - 32\/(-14). Let m(t) be the second derivative of t**4\/4 + 5*t**2\/2 - 104*t. What is n*m(a) + 5*g(a)?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 4*b + 13, 182*u - 179*u + 27 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354 + 438 = -264*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419 + 5*a**3 - 421 + 1264 - 424.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r + 216 = 0. Suppose -14*t + 20*t = 216. What is the highest common divisor of t and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5 + 7. Let s(v) = -4*v**3 + 2*v + 1. Let d be s(c). Suppose d = 5*i - 17. Is 24 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -2*s**5\/25 + 3*s**4\/5 - 26*s**3\/15 + 12*s**2\/5 - 8*s\/5 - 312. Factor x(n).\nAnswer: -2*(n - 2)**2*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -208 - -191. What is the tens digit of -2 - (41*f - (27 + -22))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310482676 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 3*c**2 - 8*c. What are the prime factors of h(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 509 - 505. Solve -r - 3*u + 4 = n*r, r - 12 = 5*u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3\/7 - 1002*h**2\/7 + 126990*h\/7 - 372006\/7 = 0.\nAnswer: 3, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0159911 rounded to five decimal places?\nAnswer: 0.01599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(6*sqrt(495)*4)\/(6*sqrt(99) - (sqrt(11) + sqrt(11) + sqrt(132)\/(sqrt(24)\/sqrt(2)))))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260460 and 1395?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 31. Put -1\/2, 16, 0.2, d in descending order.\nAnswer: 16, 0.2, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 11150*t + 40*t**2 - 11150*t + (-7*t + 4*t + 0*t)*(t + 4 - 4) - 3*t**2 - 4*t**2 + 6*t**2 + (-3*t + 5*t - t)*(0*t - t + 3*t) - 1 + 1 + t**2.\nAnswer: 39*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 300229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*n**5 + 281*n?\nAnswer: -780*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h - 3*r = -2032, 3*r = h - 410. Let v = h + -300. Calculate the remainder when v is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/(475\/(-875)*-14)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-14))\/((-21)\/294)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 4*x**2 + x. Let g be a(3). Solve 5*k = 2*k + g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2379 times -16904?\nAnswer: -40214616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3065 divided by 7232?\nAnswer: -3065\/7232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 68*y + 930. Let n be s(-18). Calculate the greatest common divisor of n and 1600.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 k when four letters picked without replacement from kkkkbkkkbkkkkbkkkkkk?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 68977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 2:39 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112866, 228943, 345020?\nAnswer: 461097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(256)\/(-1*sqrt(32)) - -4*(-4 + sqrt(32) + -1))**2*-2.\nAnswer: -1586 + 1120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121261431.\nAnswer: 3, 40420477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-96)\/3)*2\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250799840.\nAnswer: 2, 3, 5, 139, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001255 to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 0.27, -110\/7, -4?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194971, 194970, 194969, 194968, 194967?\nAnswer: 194966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seeessssss. Give prob of sequence es.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 11) to base 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 37*(6 - 3) + 1. Suppose 2*t - y = -2*t - 4*s, -85 = -3*t - 2*s. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, i: 8}. Give prob of sequence immm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 87 in descending order.\nAnswer: 87, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (584\/(-13140))\/(4\/(-18)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000233399 to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168212*n - 28*n**3 + 168212*n.\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a, 3*x = -3*a + 2550 + 38496. List the prime factors of x.\nAnswer: 2, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23464284 and 714.\nAnswer: 164249988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1263 is divided by 616.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (5 + (-3 + (sqrt(128) - (sqrt(128) + 0)) - (sqrt(128) + -2 + sqrt(128) - sqrt(128))*-6))*4*-6)**2.\nAnswer: -543744*sqrt(2) + 2709904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n. Determine j(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q + 10 = 22*q. Suppose 7*v = q*v - 25. Sort -1, 1, v in ascending order.\nAnswer: v, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10270388 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 6 + 6 = 0. What is the third derivative of -6*a**4 + 3*a**2 + 0*a**4 - 5*a**j + a**2 wrt a?\nAnswer: -144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, d: 5}. What is prob of sequence da?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*z + 9. What is the units digit of (-1 - 1)\/(3\/z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-2) - (-17 + 14). Let u be 0 - 3\/(1 - s). Let z(b) = -2*b**3 - b**2 - b + 1. What is z(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 35 = 5*g. Suppose -g*s = -s - 40. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - z + 3 = 0, -10 = 2*s - 158*z + 156*z. Solve -3*x - 8*t = -2*t + 18, 0 = -s*t - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*d**3 - 39*d**3 - 33 + 136 + 71*d**3 + 2*d**4 + 2*d**2 to the form l + g*d**4 + z*d**2 + w*d**3 + f*d and give l.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -1 - 3 - 2) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 103914, 831720, 2807200, 6654192, 12996534, 22458064, 35662620?\n\"Answer: 103973*f**3 - f**2 - 2*f - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -12. Put p, 0.4, 4 in descending order.\nAnswer: 4, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482 = 10*l - 2668. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -645408107424 - -645408106722.999999539. Let c = p + 701. What is c rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*r**2 + 5329\/4 + 73\/2*r.\nAnswer: (r + 73)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 36. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -266, -267, -268, -269, -270?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 402319367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*u**4 + 6432*u**3 - 173956*u**2 + 620688*u - 595984 = 0. Calculate u.\nAnswer: 2, 193\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 42*h**2 - 86*h - 210. Calculate l(-2).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 16767*u**3 - 39 + 16870*u**3 in the form t + i*u**3 + q*u + z*u**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.8 - 10. Which is the nearest to -0.1? (a) -0.1 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49923?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.74011*-0.5.\nAnswer: -18.370055","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 181366 + 3*h - 3*h - 181313.\nAnswer: 2*h + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k*k**(2\/5)))\/k)\/(k\/((k*k*(k**4\/k)\/k*k)\/k)))\/(k*k*k\/(k**(-4)\/k)*k**(1\/2)*k) assuming k is positive.\nAnswer: k**(-69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14827?\nAnswer: 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 25. Suppose a = 2*h + 4. Solve -o + h*w + 7 = 0, 3 - 5 = -2*o + 4*w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194 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 i = 21 + -29. Let m = i + 12. Suppose -h - 4*h = -m*c + 247, 67 = c + 4*h. What is the highest common divisor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -2282, -7705, -18272, -35699?\nAnswer: -61702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 4 = 11*z. Suppose 0 = z*h + h + 84. Let g be (-16)\/12*(-12)\/h. What is the nearest to 0 in 0.3, g, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228886434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 193483275 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(567) - (sqrt(567) - ((sqrt(567) + 2)*6 - sqrt(567)))) + 0 + 5*(1*sqrt(448) + -3 + sqrt(448) - sqrt(448)))**2.\nAnswer: -510*sqrt(7) + 50580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:02 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1257029 to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**4\/24 + 7*r**3\/6 + 13*r**2. Let o be f(4). Suppose 2*w = w + g + 23, -o*w = 2*g - 74. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.7, -14, -4\/7, -17\/3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4513, -4598, -4739, -4936, -5189?\n\"Answer: -28*g**2 - g - 4484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 100111 (base 3) to base 11\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 13. Let j(d) = 3*d**2 + 2*d + 3. Let m be j(-3). Let f be (m\/(-30))\/((-2)\/(-15)). Let w be l(f). Solve -q + 2 = 3*u, 2*u - 11 - w = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:47 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 149*k**2 - 6*k - 6. Let d be y(-3). Suppose 0 = -5*l + d + 3867. What is l rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -170, -0.5, -1, -1\/7, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -24. Let z = 10 - w. Sort z, 3, 0 in descending order.\nAnswer: 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 3*g**2 + 680 - 2058 + 692 + 2*g**2 + 686.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight thirds of a day?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -2849 (c) -0.1 (d) 4 (e) 2 (f) 0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*d - 78, -4*r = d - 13 - 50. Let a = -17 - -31. Let j = r - a. What is the least common multiple of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-4)*c*c*c*c\/c**(-4))\/(c*c\/(c**(2\/3)*c)*c)**38 assuming c is positive.\nAnswer: c**(-113\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 x when three letters picked without replacement from {x: 2, o: 8, m: 2, k: 5}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by 6.\nAnswer: 98\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 4*z**2 + 19*z + 4. Let i be b(-7). Let p be i\/(-4)*16\/(-12). Let w(m) = 3*m - 15. Give w(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25374771 (base 8) to base 7\nAnswer: 65615161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -726 + 1704. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - j**2 + j - 1. Let c(l) = -12 + l - 3*l + 14. Let n be c(2). Let k(d) = 6*d**3 - 7*d**2 + 7*d - 7. Give n*k(t) + 14*y(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 231 - 286. Put 4, -270, a, 3 in increasing order.\nAnswer: -270, a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8748685 by -1749737.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 88617*s + 1888. Is r(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.76488ug to kilograms.\nAnswer: 0.00000007576488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 842158467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 84 - 24 = 0. Suppose c*q = -3*n + 17*q - 18, -n + 4*q - 13 = 0. Is -1\/36 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6890 (base 10) to base 4\nAnswer: 1223222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -243\/7 + 35. Which is the nearest to 0.1? (a) u (b) -2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*u - 42*u - 2*i = -13, 5 = -2*u + 5*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 133. Let o(f) = -5*f**2. Determine x(o(u)).\nAnswer: 50*u**4 + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*k + 48 - 48)*((0*k + k + k)*(0 - 5 + 4) + 5*k + 8*k - 7*k)*(2 - 2 - k)*(-1 + 0 - 1)*(3 + 3 + 5) in the form p*k**3 + s*k**2 + l + d*k and give p.\nAnswer: 2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a\/a**(2\/17))\/a*a**(-11\/4)*a*a**(-4)*a**(-2\/7) assuming a is positive.\nAnswer: a**(-2453\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**3\/3 + 10*i**2 - 5*i + 36. What is j(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 112130541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -2a0?\nAnswer: -29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-2)\/4*6\/(-4). Solve -2*p - 2*p + 21 = -q, -z*q - 28 = -5*p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + a + 17, -19 = n - 4*n + 5*a. Suppose -2*b = -2*j, -n*b + j = -6*b. Determine t, given that -6\/5*t**3 - 21\/5*t**2 + b + 9\/5*t**4 - 6\/5*t = 0.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 2*u + 16. Let v be g(6). Let i be 0\/(2 - 4) + v\/(-2). Solve a = -0*p - 3*p + 12, -15 = -p - i*a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((2 + 416\/(-211))\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r = 6. What is the derivative of -3*k + 5*k + r + 2 wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 23*b = 5*j - 22422, 4*b = -4. List the prime factors of j.\nAnswer: 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 1, t: 1, d: 1, h: 1}. What is prob of sequence stg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - m + 3*m**2 + (2*m + 0*m - m)*(2*m - 3*m + 0*m))*(7 - 7 + 2*m)*(-59 + 105 - 73) as b*m**3 + a + d*m**2 + j*m and give b.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1351, 1261, 1089, 835, 499, 81, -419?\n\"Answer: -41*k**2 + 33*k + 1359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 716 and 15723360.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1137*n = -13230*n + 86202 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/6 - -4)*(-3)\/2. Let x be a + (-39)\/(-1 - 2). Factor 273*h**2 + 157*h**3 + 242*h**3 + 60*h - 7 - 61*h**3 + x.\nAnswer: (2*h + 1)*(13*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6357.3639 + 0.2\nAnswer: 6357.5639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 14*q**2 + 1 + 4*q - q**2 + 0*q. Let n be x(-1). Is n\/((-165)\/50)*-3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7324549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-3\/4)*s*s*s)\/s**2)**(-29)*(s*s*s**(1\/8)*s**(1\/2))**(-1\/6) assuming s is positive.\nAnswer: s**(-1747\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 7, -28*r + 2433 = -25*r - 3*o. Solve -r*y = -803*y - 7 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddsdffrfyyylrrrrfrsf. What is prob of picking 2 f and 1 y?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*n**3 + 136*n + 9*n**3 + 5*n**3 - 120*n**5 wrt n.\nAnswer: -2400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from {t: 6, l: 3, f: 6}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 83, 556, 1789, 4148, 7999, 13708, 21641?\n\"Answer: 61*a**3 + 14*a**2 + 4*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39 + -313f9?\nAnswer: -313c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) -2 (c) 6241 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(117))\/(sqrt(729)*-1).\nAnswer: 4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4859904 a multiple of 791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*p + 4*p - 2, 0 = 2*h - p - 8. Solve -6 = h*s - 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 4*r**2 + 8*r - 18. Determine k(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**7)**15 assuming n is positive.\nAnswer: n**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 10 - 8 + 3 + w. Let h(d) = 3*d + 9. Let i(z) = -5*f(z) + 2*h(z). What is the derivative of i(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -9*p - 280. Give d(-30).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 77 = -5*m + 148, 0 = 5*m. Suppose 0 = 4*a + 5*a - p. Let l = 0 + 3. Solve -l*j - 3*t = 15, t - a*t + 4 = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -487\/126?\nAnswer: -487\/126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21209?\nAnswer: 127, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 211, 186, 133, 40, -105?\n\"Answer: -2*u**3 - 2*u**2 - 5*u + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 2\/7 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: aa4 (base 11) to base 15\nAnswer: 5d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24.11178 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and -1666.4?\nAnswer: 24996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230362?\nAnswer: 2, 7, 23, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10\/9, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u + u + 3*u)*(-2 + 1 + 2) + 4*u - 4 + 4 + 5*u + 2*u + u)*(4 + 1 - 1).\nAnswer: 56*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1361 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -132 + 37. Let p = -92 - i. Sort p, 0, -3\/23 in ascending order.\nAnswer: -3\/23, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o. Let u(c) = -4*c + 21. Let i(h) = 6*p(h) - u(h). Let b be i(-4). What is the highest common divisor of b and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 17\/(-4) - (-1 + -3 + 8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*h + 957, 4*j + 3*h + 261 = 1537. What are the prime factors of j?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81207877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) 1\/5 (b) 1\/435 (c) -4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 3*q. Let a be o(-1). Put 1, a, -5 in descending order.\nAnswer: 1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7875562 less than or equal to 7875562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 6378. Let z be x(0). Let u = -4429 - z. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22661779?\nAnswer: 7, 3237397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/17840 and 103\/560.\nAnswer: 124880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 291? (a) 6 (b) 0.5 (c) -5 (d) -9 (e) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v - 50. Let k be v\/(2 - (-4)\/(-1)). Suppose -5*y + k = -5. Solve y*m + 3 + 1 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34958274?\nAnswer: 2, 3, 13, 127, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132793 and 8633.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(204)*2)\/sqrt(12))**2.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 42*v - 13, -141 = -3*y - y - 0*v + 3*v - 22 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124444\/7 + -55625446\/3129. Let t = s - -1\/149. What is the nearest to t in -0.3, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/1784 and -53\/290346.\nAnswer: 1161384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppipgpppgmgp. Give prob of sequence im.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 1017 + 989 = -5*g, -21 = z - 4*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/12*(148\/80 + 6\/15). Suppose -13*w + 1143 = -4*w. Put w, 2, b in decreasing order.\nAnswer: w, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 11)*(0*q - 2*q + 0*q)*((0 - 2 + 4)*(2 + 0 - 1) - 2 + 5 - 1 - 4 + 6 - 4 + (6 - 3 - 1)*(0 + 0 + 1)).\nAnswer: 96*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from {j: 1, g: 1, h: 1, p: 1, y: 2, n: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -62*538\/8 - (-640)\/(-256). Let q = -2733 - x. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11752 + -0.08248. Let y = -2 + 2.08. Do z and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2. Suppose 0*j = 3*j - 6. Let b be j - 3*(-4)\/(-6). Is t not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/18)\/((-138)\/253)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -244.4 - -244. What is the biggest value in -2\/3, 0.4, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 363*m + 829 + 1538 - 552 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p**3 + p + 23. What is the units digit of g(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -25*n + 292. Let m be f(12). Put -2, 1, m, 3 in decreasing order.\nAnswer: 3, 1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 998 + 3. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 33345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/589 - (238630\/(-2))\/(418\/594) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44805, 41998, 39191, 36384, 33577?\nAnswer: 30770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8589 + 8705. Solve 48*u + w = -10*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 22, 1\/2, 0.01, -0.1, 0.3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005829 minutes in microseconds?\nAnswer: 349740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -32. Solve 0*g + 4*g = -l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 23*h + 21 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 634346 = -32*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 divided by -9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**3 + 0*w**3 - 5 - 3*w**3 - 6*w**2 + 0 - 4*w. Let j be 1 - (-88)\/14 - (-4)\/(-14). Let q be n(j). What is the highest common factor of q and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6389 in 10, -160, 5?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + r - 1 = -8, 2*i - 4 = 2*r. Suppose 2*k + 4 = -2*k. Let x be k\/(-2)*(5 + -13). Which is the closest to i? (a) 0.3 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*x**2 + 6*x**2 + 38*x**3 + 3*x**2 + 6*x**2 in the form y*x + w + o*x**2 + k*x**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1653537*p**5 - 72331*p**2.\nAnswer: -99212220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.07 from -17636.\nAnswer: -17635.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7103.\nAnswer: 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4)*5 + sqrt(1573)*-2 + -5*(1 + sqrt(325) - (0 + sqrt(208) - sqrt(208))) + 0)**2.\nAnswer: 420*sqrt(13) + 22957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 - 2*f + 1. Let y be z(1). Let g = 9 + -4. Suppose 0 = 5*m - 2*p - 6 - 2, g*p = 2*m - 20. Solve v - y*v = m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-9))\/(16\/72). Let g(t) = -30 + 30 - 2*t**f. Let a(d) = -3*d**2. What is g(a(s))?\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1006794796 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 12) in base 14?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -80408.\nAnswer: -80407.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khuxoks. Give prob of sequence ohu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -10*v + 40 + 252. What is the greatest common divisor of 14861 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -567 + 544. Let z(r) = r**2 + 18*r - 103. Let g be z(s). Solve g - 12 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -29386?\nAnswer: 29381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j = -24. Let d = j - 2. Let k(c) = c**2 - 6*c + 7. Let q be k(6). Solve -i - 4*s = -24, d*i - s - q = 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r + 2. Let p(v) = -4*v - 3. Let s(d) = -5*p(d) - 7*y(d). Let x be 1\/((-5)\/(-36) + (-1)\/4). Let g(w) = 5*w - 5. Determine x*s(t) - 2*g(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -256334 smaller than -256333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1087*w - 1093. Give f(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1\/5 (c) 923.9554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**0*z*z)**41\/((z*z**(-2)*z)\/(z\/(z\/(z\/(z\/(z\/(((z\/(z**7\/z))\/z)\/z*z)*z*z))*z)))))**(-5\/9))**1 assuming z is positive.\nAnswer: z**(-665\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, -114, -535, -1354, -2703, -4714?\nAnswer: -7519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 260.\nAnswer: 47\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30050)\/(-2))\/((-120)\/2400). What is j rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 57392*n. Let d(g) = g + 18. What is l(d(a))?\nAnswer: 57392*a + 1033056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddejerrdjrldeddlkd. Give prob of picking 2 l.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(34)\/(sqrt(24)\/(sqrt(12)*-1)) - (sqrt(17) - -5*(sqrt(17) + sqrt(17)*-2))*4).\nAnswer: -5 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8204683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -574*q + 27*q**2 + 1 + 284*q + 290*q as u*q + w + r*q**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 37*f**4\/24 - f**3\/6 - f**2. Let k = 3 - 2. What are the prime factors of d(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*u - 14*u + 31*u + (-4 - 1 + 3)*(8 + 3 - 5)*(-4*u + 3*u - u) + (-2 + 4 + 0)*(-4 + 4 + 4*u).\nAnswer: 70*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7063 or -7065?\nAnswer: -7063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcc when three letters picked without replacement from {c: 4, x: 3, v: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwma when four letters picked without replacement from ammmwmmmmammmm.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 203*s + 15. Let y(m) = -102*m - 7. Let f(c) = 4*t(c) + 9*y(c). Let r = 451 - 452. What is the tens digit of f(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/7*(-67)\/(-1474) + 2\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4675 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 3. Solve -d + s*a = -12, 5*d + a - 12 = 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -251909\/20 + 12598. Let s = -7103 + 113745\/16. What is the common denominator of s and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1)*(-15)\/(120\/16)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {z: 5, s: 13}.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/106997 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 267*z + 37*z + 217*z - 1 + 0. Let f be p(1). Suppose -5*i = -745 - f. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 70 = -2*n, 0 = -7*h + 12*h - 5*n - 90. Let p = h + 63. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -o + 406. Let h = o + -394. What is the smallest common multiple of h and 48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21736 and 1268839?\nAnswer: 2717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6165398 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*i - 225, 3*y = 3*i + 2*y + 221. Let w = -50 - i. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1527 + -487. What is the second derivative of o - i + 13*o - 30*o**2 + 1040 wrt o?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 3*j - 22, 6*m + 6 = m + 4*j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27011, 54023, 81035, 108047?\n\"Answer: 27012*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/14175 and -4\/4629975.\nAnswer: 125009325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 81*c - 77*c + 25618, 5*b = 4*c + 64033. List the prime factors of b.\nAnswer: 5, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 - 8441*f**3 - 3*f**2 + 8622*f**3 - 6 to w*f**3 + i*f**2 + g + b*f and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d = -r + 105, -4*d = 4*r - 468. What is the remainder when (r\/(-48))\/(1\/(-50)) is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726138.\nAnswer: 2, 3, 7, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 + 172*p - 120. Give f(56).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*k**3*x**2 + 70*k**3*x + 21*k**2 - k*x**2 - 3*k*x wrt k.\nAnswer: -36*x**2 + 420*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4207 - 3999. What is the highest common divisor of 368 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 18. What is the closest to c in -4\/7, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -0.3 (c) -1369\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -124430 (base 5) in base 4?\nAnswer: -1031332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, 42, 115, 218, 351?\n\"Answer: 15*h**2 - 2*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68 - 68 - 2*z**3)*(54 - 16 - 234 - 16) to x + u*z**2 + o*z + l*z**3 and give l.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Let p = 2 + x. Suppose 3*q + 3*t - 12 = 0, -2*t - 16 = -4*q + p*t. Calculate the remainder when q is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 5*x - 43 + 16.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 10 - 2. Suppose -z*p + 0*p - 12 = 0. Let w be 0 + -1 + (-12)\/p. Solve -i + w = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3087*m**4\/2 - 1764*m**3 + 231*m**2 - 32*m\/3 + 1\/6.\nAnswer: (m - 1)*(21*m - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 2*p + 1. Let u be r(-4). Let i(j) = -2*j - 1. Let w(o) = o. Let s(b) = u*w(b) - 4*i(b). Let f(t) = -t + 3. Let h be f(3). Calculate s(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20 + -1)*(-125)\/375. What is the closest to -8 in -6, 3, h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(-16*y + 18*y - 14*y) + 0*y - 2*y + 0 + 1 + y - 26*y - 69 + 27*y to the form s + c*y and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0404 - 1.9596. What is the closest to 0 in 146, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10096254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72.2182 - -6609.9602. Let s = 6543 - a. Let y = 0.042 + s. What is y rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2733 - 196. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 3 - (-70 + 66).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1043 (base 5) to base 12.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.99447 rounded to one decimal place?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94255371 and 4655.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - -3. Let a(v) = v**2 - 5*v + 3. Let c be a(3). Calculate the remainder when f is divided by c\/6 + (-38)\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 680 and 580040?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 1.314.\nAnswer: -0.3942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -718 + 763 = -9*k. Let d(v) = 4*v**3 + 6*v**2 + 2*v - 7. Let g(h) = 4*h**3 + 5*h**2 + 2*h - 6. Determine k*d(s) + 6*g(s).\nAnswer: 4*s**3 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 - 1)*(-14)\/(-4) is divided by (-5)\/(-1) + 5 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -28 + 55 + 17*u**2 + 42*u + 17*u - u**3. Let h be v(20). Suppose 57 + 41 = 2*z. Calculate the greatest common factor of h and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 108677 and -73.8302145.\nAnswer: 108603.1697855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556756?\nAnswer: 2, 181, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -621*z - 79*z**2 + 322*z - 64*z**2 + 298*z + 2 - z**2 as q + c*z**2 + a*z and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 2*n**2 + 7*n + 164. Let w(v) = 2*v**3 - 4*v**2 + 15*v + 327. Let y(h) = 13*p(h) - 6*w(h). What are the prime factors of y(0)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 969707954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/20)\/((-2)\/(-10)). Suppose -14 = 3*n - 5*z, 0*n + l*n = 2*z. Let 2*k - 2*k + k**n - k = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 376 (base 8) to base 12\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -93*b - 27805. Determine o(-299).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1)\/(282\/2667720*-110)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**3 - f**2 - 3*f - 3. What is j(-2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 3*k + 5. Let o be m(3). Suppose -3*v - 3*b = 0, 3*v + 2 = -o*b - 4. Suppose v*t + 26 = 803. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-528))\/(10\/(-12)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**5 + 2*n**2 - 2*n**2 + (-n**3 + n**3 + 2*n**4)*(0*n - 4*n + 2*n) + 0*n**5 + n**5 + 2*n**5.\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565652919 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11771682784\/145)\/32 - 3\/5. Round v to the nearest ten thousand.\nAnswer: 2540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*f = 361137 - 366141 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12826283 divided by -1?\nAnswer: -12826283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(-133*x**4 - 3079*x**4 - 1401*x**4) + 3*x**4 - x**4 - x**4.\nAnswer: 9227*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3.8589 * 35.14\nAnswer: 135.601746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13001211123 (base 4) in base 16?\nAnswer: 1c195b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4196459?\nAnswer: 4196459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by -51.\nAnswer: 40\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 260*b - 16543. What is d(64)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 4\/13 (c) 2\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in 0.2, 1, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 4:29 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -421019?\nAnswer: 42100a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 306 = x + 4*x, 0 = 4*x + 5*r - 253. Let w = x - 39. Let h = 25 - w. What is the closest to h in 0.3, 4, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 25. Let p(k) = k**3 - 9*k**2 - 26*k + 133. Let y be p(n). What is the highest common divisor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132210 (base 4) to base 10.\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h = 2*n + 375, 3*n + 559 = -4*h. Let c = n - -363. Suppose -3*w = -w - c. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.2 (b) 1 (c) -271\/7 (d) 59 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*q = 65*q - 328045 - 294581. What are the prime factors of q?\nAnswer: 2, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2 + 1537300*n + 1537296 = 0 for n.\nAnswer: -384324, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 819472\/59 + -13889. Find the common denominator of p and -47.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**2 - q. Let n be -6*(52\/24 + -3). Suppose -12 = -10*f - 32. Let c(a) = 10*a**2 - 3*a. Calculate f*c(j) + n*u(j).\nAnswer: 5*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 775 (c) 1\/10 (d) 0.5 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1\/4 (c) -12065\/9 (d) 3 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 22 + 57)*(5 - 5 - 2*g)*(0*g + g**2 + 0*g).\nAnswer: -102*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -18. Let t be -3*(-3)\/18*12. Let d(f) = -t*f**2 + 6 - 8 - 3 + f**3. Calculate d(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1604 - -1623. Solve 20*m = -p + 59 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:09 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05758 + 2.40942. Let n = -394 + 396.36. Let c = n - m. Round c to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 24*t - 45. Give c(-13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*p**3 - 48*p**3 + 7*p**3)*(21 + 17 - p - 35).\nAnswer: 26*p**4 - 78*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 4?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v - 7. Let w be m(6). What is w rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376807842 divided by 6.\nAnswer: 62801307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 - 63*f + 285 + 2*f**2 + 29 + 29*f + 33*f + 2*f**3 to the form a*f**3 + z + d*f**2 + r*f and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-10) - (-83)\/5. Let q = -3 + x. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + -7. Let o be 3\/(-2 - z\/(-2)). Which is the nearest to -1\/3? (a) -0.02 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 39*u - 10*u**3 - 67*u + 6*u**3 + 32*u as v + h*u + b*u**3 + o*u**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -17*q + 7 + 1\/3*q**3 - 19\/2*q**2. What is the units digit of s(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*r, n + 7*r + 17 = 2*r. Suppose 5*v + 5 = 0, -5 = c + v - n. Suppose -5*a = y - 496, 4*y - 2*a = -c*a + 1894. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 10*w**2 + 39*w - 2. Let g be b(-4). Solve -5*r - 12 = -5*d + 28, 24 = -4*r + g*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 25 = -7*d. Solve -d*o - 10 = 3*n, 0 = 2*o + 3*o - 5*n - 30 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -14.6. Let y = -0.3 - 0.2. What is the second smallest value in u, 1, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1493 divided by 24460\nAnswer: -1493\/24460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*j - 5 = 295 + 264 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, p: 1, j: 5, q: 1, e: 2}. What is prob of picking 3 l?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 961588 by -6086.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1924 = 3*i - 6435, -i + 5*m + 1509 = 0. What is the greatest common factor of 658 and i?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 144 - 38. Suppose 121 - a = l. Calculate the remainder when 29 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 greater than or equal to 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -1\/39, -6, -30774 in increasing order.\nAnswer: -30774, -6, -1\/39, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) -585\/4 (c) 0.4 (d) 0.1 (e) 0 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/50922318 and -48\/2233435.\nAnswer: 254611590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 12, -4*d - 4*h + 2*h + 78 = 0. Let p = 33 - d. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 837284 by -1.\nAnswer: -837284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2967\/18*2*3. What is the greatest common divisor of c and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6574 and 1.\nAnswer: 6574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -11*r**2 + 1389*r + 31674. Give c(146).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 27 = 109. Suppose 3*q - 104 = -23*q. Suppose -27*p + q = -28*p - 3*h, 5*p = 5*h + 80. Calculate the remainder when m is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*m + 23 - 23)*(2*m**2 + 3*m - 3*m) + 2*m**3 + 4*m**3 - 4*m**3 + (0*m - 3*m + 2*m)*(0*m**2 - 5*m**2 + m**2).\nAnswer: 30*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**6\/60 + 2*h**5\/15 - 11*h**4\/24 + 5*h**2. Let t(v) = v - v**2 + 0*v + 841887 - 841887. What is g(w) + 6*t(w)?\nAnswer: 2*w**3 + 2*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a - 12. Let p be (1\/(-2))\/(a\/(-6)). Suppose -3*o - 21 = -24. Calculate the highest common divisor of p and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g - 41. Let r(n) = -n + 8. Let j(d) = -2*k(d) - 11*r(d). Calculate j(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/13, 50.\nAnswer: -2, -4\/13, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 2*a - 14 + 6, 0 = 14*t + 5*a - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 82*a**2 - 2*a + 1. Let b be c(1). Let l = b + 210. Does 25 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131*p**3 - 87*p**2 + 1.\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + (11 - 27) + 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-442)\/39)\/(22\/33)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.17 - 0.03. Let p = 0.1 + g. Is -2\/5 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4186 = 30*k - 37*k. Is 46 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 2*d**3 - 4*d + 3*d**3 - d**2 + 1. Let a be h(3). What are the prime factors of (-2)\/(-4)*(14 + a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*3 - 3429\/1125. Let j = p - -547\/14000. Let b = 331\/560 - j. What is the second biggest value in 0, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 13*a**2 - 654*a + 184. Give f(50).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010000111110111 - -1001101?\nAnswer: -1011010000110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z + z + 9*z + 3*z in the form v*z + j and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**4\/4 + 11*g**3\/3 - 3*g**2\/2 - 23*g + 12. What are the prime factors of l(7)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p - 5. Let d(r) = -r - 6. Suppose -v = n - 10, 2*v - 16 = -2*v. Let s(x) = n*m(x) - 5*d(x). Let w(t) = -3*t**2. Determine s(w(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -5, 745\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 673148 (base 11) to base 4\nAnswer: 10011330333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 112*m**2 - 385*m + 16129. Determine g(-107).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 189?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + g - 5*g)*(5 + 2 - 4)*(1 + 0 + 4)*(-3 + 4 + 0)*(-437 + 437 + 93*g) as y*g + p*g**2 + i and give p.\nAnswer: -8370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3315)\/36244*408\/(-153).\nAnswer: 10\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 11*m + 2. Let r(z) be the first derivative of -3*z**2 - z - 1813. Calculate 4*h(a) + 10*r(a).\nAnswer: -16*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*b - 1 + 11*b + 3)*(6 - 4 + 3*b - 3) to y*b + n + q*b**2 and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -17, 7, 41?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 65*w - 62*w + 24 = 0, 64 = 3*q + 5*w. Solve 3*c + 6 = 3*d, -q - 9 = -4*c - 2*d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688 take away -3.09?\nAnswer: 1691.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -352\/1371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 365 + -771\/2. Find the common denominator of o and 4 + (-205)\/(-70)*-3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.1 at most as big as 19.952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*x**2 - 531*x + 1928*x + 1939*x - 77*x**2 - 1.\nAnswer: -6*x**2 + 3336*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206458?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + 4 + 2*((sqrt(720) + 1)*-2 + (sqrt(720) - (sqrt(720) - (sqrt(720) - (sqrt(720) + 2)))) + 5)*-1)**2.\nAnswer: -34560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v - 45. Let c be s(-24). Suppose 1 = q - 0. What is the nearest to q in -5, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 6*r + r + 6338015, 4*r = 4*o - 12675988. What is o rounded to the nearest one hundred thousand?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 12*p**2 + 38*p - 453. Calculate l(13).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwe when three letters picked without replacement from wwewwwwewwwww.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + g**2 + 3*g + 4. Let x(z) = -9*z + 3. Let n be x(0). What is y(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**2 + 2*v + 1. Let s(y) = -3 + y**2 - 2*y - 3 - 3*y - 1. Let p be s(6). Determine m(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 16 = 3*d, -c - 4*d = -0*d + 12. Find h, given that -3*h**2 + 2*h**3 - 11*h**3 - 3*h**5 - 3*h**5 - 9*h**c + 3*h**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 22*p**3 + 1 - 2.\nAnswer: 22*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuueueuueuu. Give prob of picking 3 u.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = d + 62*j - 288 - 1760, 0*j - 66 = -2*j - 0*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.078184 to 4 decimal places.\nAnswer: 0.0782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20011001220221 (base 3) to base 5\nAnswer: 1314100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -640 by 128.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 280752.8074196 minus -9?\nAnswer: 280761.8074196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 - 1202*i**2 + 13295*i - 295. Calculate g(289).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11752 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49553955 - -14577.\nAnswer: -49539378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 11*r + 6. Let x(f) = -55 - 38*f + 18*f - 80*f. Let b(t) = -6*x(t) - 55*z(t). Let m(s) = s. Let u(a) = 15*a. Let y(p) = 6*m(p) - u(p). Give b(y(q)).\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**4\/2 + 3*v - 2116. Let o(s) be the second derivative of -s - 5*s + 2*s - s**3. What is m(o(p))?\nAnswer: -216*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 9:25 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-6)*2*1\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 8*q - 8. Let c be p(-6). Let m(r) = 1 - 7 + c - 1 + r + r**2. Let f be m(-3). Solve -2*z + 9 = f, 0 = 4*j + 2*z - 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 7. Let i be j(9). Let x(t) = 110*t - 10. Let y(l) = -22*l + 2. Let o(d) = i*y(d) + 3*x(d). Find the first derivative of o(q) wrt q.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*p - 35*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*3)**2 + (sqrt(19) - sqrt(133)\/sqrt(7))**2 + 1.\nAnswer: 13852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 4. Let j be u(-4). Suppose j*g = 5*g - 3545. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861284 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -480*y**4 + 292*y**2?\nAnswer: -11520*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*c + 6*c**4 - 7*c**2 - 3 - 31*c + 8*c**2 + 12*c - c**3 to m*c**2 + v*c**4 + y + i*c + x*c**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079676\/144 + 10\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.8 - -9. What is the closest to m in 4\/3, -0.08, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87924?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -137.8 * -6\nAnswer: 826.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -1226.3323?\nAnswer: -49.053292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.1 - -18. Let j = 4 + -1. Let t be (j\/15)\/((-2)\/(-5)). Is n smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*((-60)\/(-8))\/15)\/(21\/(-196))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31 and 3757.\nAnswer: 116467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/36 and 43\/1932.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 382358 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/115)\/3)\/((-55)\/(4125\/30))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from fffzzzfozzooooozzof.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - j**2 + 2*j**2)*(-2939 + 5237 + 1448).\nAnswer: 3746*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.039 (b) -1016\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -8113?\nAnswer: 1\/1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.467? (a) -3\/7 (b) -45 (c) -12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24066 and 12387.\nAnswer: 99368514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l - 20 - 15 + 8 - 11*l + 25.\nAnswer: -5*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 9*j - 1701. Let k = -3074 + 3155. What is the highest common factor of k and j?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 27*h - 6. Calculate m(-2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*y - 8*b, 4*y + 442 = -2*b + 440 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.28511 rounded to 2 decimal places?\nAnswer: 5.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744632923?\nAnswer: 59, 73, 83, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**11))\/p*p**4)\/((p\/p**(2\/5))\/p**(-6)) assuming p is positive.\nAnswer: p**(-73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67138.\nAnswer: 2, 33569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -527479236226 and -3.\nAnswer: -527479236229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -3. Suppose n = -2*n - 12. What is the third smallest value in n, 1\/4, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194599 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/347251 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u - 64*u = 765 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4415 - 3*d + 4*d**3 - 4415 in the form z*d + a + i*d**3 + l*d**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -18*s**2 + 4*s - 41 + 16*s**2 + 2*s**2 + s**2. Let r be z(-9). Solve -r*d + 5 = -9*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**5 - g**3 - g - 70 wrt g.\nAnswer: -40*g**3 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65842299 by -9.\nAnswer: -7315811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = 2*w - 4, 0 = -3*z - 967*w + 971*w + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(2 - (3 + 0)). Let l = -9 - -9. Suppose -p + l*o = -4*o - 32, 55 = v*p + o. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25, 64, 293, 728, 1435, 2480, 3929, 5848?\n\"Answer: 11*g**3 + 4*g**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 248*z = -238*z + 483*z + 11, 4*z - 6 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 - 17*h + 453. Give p(-10).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1.693\nAnswer: 0.3386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.7, 3\/5, -3, -0.3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/j**(1\/2))\/((j*j**(-6))\/(j**(-3)\/j))*((j*j**0)**(-31))**(-36) assuming j is positive.\nAnswer: j**(2229\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 864?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 58 = 3*p + 78, 5*t - p = -170. Let z = t + 37. Calculate the highest common factor of z and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 + 1 - (9 - 10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1140250 and 179\/3420750.\nAnswer: 3420750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 16 = -10. Solve -3*n + 13 = -d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) -1749507 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2897 + 4090. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/360 - 181\/360. Suppose m = -3*u + 4, 2*u = 4*u + 3*m + 2. Let j be 1\/2*u\/2. What is the closest to j in 4, -1\/3, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6224032109.\nAnswer: 6224032109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -131*k**2 - 12*k + 35. Let d(l) = 131*l**2 + 14*l - 35. Let w(y) = 6*d(y) + 7*o(y). Differentiate w(m) with respect to m.\nAnswer: -262*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 91.21751 millennia?\nAnswer: 912.1751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5846741783?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1417*t - 440 = 1416*t. What is the remainder when t is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33 or 1\/4930?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*l = 328, 4*q + 4*l + 292 = -0*q. Let f = 127 + q. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 7:49 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15771 and -23314708?\nAnswer: 23298937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59327159 to the power of 1\/3, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -8. Suppose 12 = 2*a - h - 2*h, -24 = -j*a + 2*h. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23856142 by 277397.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 - 63036?\nAnswer: -63005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 7*v**2 - v + 7. Let i be h(7). Suppose i*y = -2*y - 38. Let d = -8 - y. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j. Let z(f) = -2*f**5 + 10*f**4 - 8*f**3 - 32*f**2 + 60*f - 32. Let w(s) = 2*d(s) - z(s). Factor w(u).\nAnswer: 2*(u - 2)**3*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.796016 + 0.096023. Let n = 0.7 + x. Round n to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00839436*-0.46.\nAnswer: -0.0038614056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 358613722 to the nearest integer?\nAnswer: 18937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 527?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9215.487 nanometers?\nAnswer: 9.215487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361 - 158 = -13*m - 90 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k - 218*k**2 + 6*k.\nAnswer: -218*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46893853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -396.775243 rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and -1048 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - -20 - ((5 - 2) + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11087098111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -50*2817\/(-84)*8\/10. Is 1342 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 479.2569 kilograms?\nAnswer: 479256.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25801 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/51 in -1\/3, -1\/5, -2, -2\/359, -5?\nAnswer: -2\/359","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2261.1801 months in centuries?\nAnswer: 1.88431675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2. Let i(q) = q + 16. Determine i(o(a)).\nAnswer: a**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10, u: 1, w: 3, e: 1}. What is prob of sequence ue?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 492010 and 1780.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13808322?\nAnswer: 2, 3, 11, 69739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1193, 2418, 3647, 4880, 6117?\n\"Answer: 2*n**2 + 1219*n - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/473 (b) -1\/2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 55968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2204 (base 12) to base 4\nAnswer: 322210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2, 885 - 902 = 4*k + 3*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 + 12*t + 7. Let u be i(-8). Suppose -y + 146 = -2*p - u, -p = 4*y - 1005. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*3\/(-6)*3. Suppose 0 = -n*x + 4*x. Suppose x*m = 2*m - 12. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*k**2 - 8*k**2 + 0 + 12*k**2 + 1 in the form w*k + i*k**2 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 9 + -5 - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-22))\/(((-96)\/(-99))\/32)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/6)\/(x\/x**(3\/8)))\/(x\/(x\/((x\/x**(-2\/9))\/x))*(x\/(x**(-2\/9)*x)*x)\/x))**(-24) assuming x is positive.\nAnswer: x**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -22*((-801)\/18 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3 - 5*g**2 + 608*g + 6912 = 0. What is g?\nAnswer: -16, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, e: 2, q: 1, k: 1, n: 1, c: 1}. What is prob of sequence een?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17001, 34006, 51013, 68022?\n\"Answer: m**2 + 17002*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyzzzzyyybybbyzbzy. What is prob of picking 4 z?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*g + 52344 = 58920 for g.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 2*g - 7. Suppose 4*r + 3*k = -29, -4*r = 12*k - 7*k + 35. Suppose -2*c = c + 18. Let o(h) = -2*h**2 - 2*h + 8. What is c*j(l) + r*o(l)?\nAnswer: -2*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 16*n + 30. Let k be q(14). Suppose -k + 1 = z. What is the units digit of -2*(-1 - z - 26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 + 1858 = 33*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2574 divided by -9?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 531 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7)\/7 - ((-441)\/3)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c + 6. Let r be o(7). Let d be 2\/5 + r\/(-5). Suppose 6 = -0*p + 2*p. Solve p*k + 3*u + 2 = -1, 2*k + d = 4*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -190*p**3 + 3*p**2 - 34*p - 454. Let k(m) = 63*m**3 - m**2 + 12*m + 151. Let q(n) = -6*c(n) - 17*k(n). What is the third derivative of q(o) wrt o?\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17582116*c - 9416318 with respect to c.\nAnswer: 17582116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nini when four letters picked without replacement from {n: 17, i: 3}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = -0*d - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 222321169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-2*z**4 - z**4 - 4*z**4) + 4*z**4 - 5*z**4 + 0*z**4 + 14*z**4 - 7*z**4 + 3*z**4.\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23, -36, -37, -26?\n\"Answer: 6*a**2 - 31*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, d: 11}. What is prob of sequence daa?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51\/5*l**2 - 3\/5*l**4 + 24\/5*l + 6*l**3 + 0 = 0. What is l?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 11 + 0*c + 0*c**4 + 1\/60*c**6 + c**2 + 0*c**5 + 0*c**3. Let x(l) be the second derivative of q(l). Factor x(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89\/1410 - -1\/282. Let q = h + 13\/30. Which is the closest to q? (a) 2\/3 (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28112*v**5\/3 + 217860*v**4 - 733868*v**3\/3 - 281329*v**2 - 155336*v\/3 - 44 = 0. What is v?\nAnswer: -1\/2, -1\/4, -3\/3514, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 7:56 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1290 + 1290.5. What is the second biggest value in s, 1\/5, -3\/22, -1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6 take away 16626.45096?\nAnswer: -16634.05096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obo when three letters picked without replacement from oboooobboooooooo?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 0*z - 35\/24*z**4 + 0*z**3 + 6*z**2 + 0. Let b(d) = -355*d + 709*d - 353*d. What is b(s(m))?\nAnswer: -35*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = -4. Find the second derivative of -x*c**3 + 23*c**3 - 6*c**2 + 6*c**2 - 22*c wrt c.\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q + 12. Let s(f) = -19*f + 10. Let t(i) = 7*i + 1. Let z(j) = s(j) + 3*t(j). Suppose -3*m + 9 = -0*m. Let l(u) = m*w(u) - 4*z(u). Determine l(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -100? (a) 0 (b) 29 (c) 4634\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 385763603 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 8 - 24) + -9 + 4 + -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 786 = 151. Let k = w + -68. Calculate the remainder when k is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 254, 1 in decreasing order.\nAnswer: 254, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = 12*c - 117. Let n = c + 60. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1552476, -3104946, -4657414, -6209880, -7762344, -9314806, -10867266?\n\"Answer: s**2 - 1552473*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27468 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*o**2 + 3 - 3 + 152*o**2.\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 4:03 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -1, 5\/4, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -8. Solve z*j = -j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z. Let k(y) be the first derivative of -y**5\/60 + 7*y**2 + 8. Let r(t) be the second derivative of k(t). Determine o(r(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 579\/(-92) - 4*-1. Let z = 24\/23 + x. Which is the smallest value? (a) -2\/13 (b) z (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**4\/2 + 1599*b**3 + 5752437*b**2\/2 - 1760153616*b - 1817588121984 = 0.\nAnswer: -816, 1349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12000)\/9750)\/((-4)\/(-26)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11704174 divided by -19282.\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20848 + 57*s + 83405 - 20854 - 20853 - 20850.\nAnswer: 57*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 3*a**2 - 9*a + 2*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3288 is divided by 310.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -383, -373, -361, -347?\n\"Answer: c**2 + 7*c - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8*s - 25. Let x(y) = y**2 - 34*y + 277. Let u be x(14). Determine f(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6445 - -8402. What are the prime factors of j?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2266693 and 80303?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(304) + sqrt(19))**2 - sqrt(19) - (4 + sqrt(38)\/sqrt(2)) - sqrt(209)\/(sqrt(275)*1 + sqrt(11) - sqrt(11)).\nAnswer: -11*sqrt(19)\/5 + 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 468*r + 1051*r - 264*r to d*r + n and give d.\nAnswer: 1255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 16*q**2 + 10. Let k(h) = 5*h**2 + 3. Let s(f) = -10*k(f) + 3*x(f). Let d(y) = 7*y - 13*y + y. What is d(s(a))?\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398324.\nAnswer: 2, 99581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 5*m - 43 = 0. Let r = -14 - m. Let c = -9 + r. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:15 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 23*x. Let j be ((-4)\/(-6))\/(65\/15 + -4). Let k be s(j). Find the second derivative of -k*u - u**5 - 4*u**5 + 34*u wrt u.\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2 + 754*p + 7340 = 0.\nAnswer: -367, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130\/51 - -8\/3. Sort -1\/5, l, 4\/5.\nAnswer: -1\/5, l, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1547994559311 + -1.3\nAnswer: -1547994559312.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x - 38 = 0. Let l = -18 + x. What is the common denominator of -40\/11 and 4\/(l\/(-7)) + -1?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -5 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 4. Let f be (2\/(-6))\/((-2)\/24). Suppose 5*a + 0 = 4*c - 20, -16 = f*a + 4*c. Determine v(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + sqrt(832) + -1 + 2 + (sqrt(832) + 0)*-3*-1)*2)**2.\nAnswer: 46080*sqrt(13) + 1920528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(54)\/(2*sqrt(3)))\/((sqrt(6) - sqrt(216)*2) + -4*(sqrt(54) + sqrt(6))).\nAnswer: sqrt(3)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w - 26*w + 79*w - 28*w = -2*p - 10, 23*p + 35 = 6*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/9 - (-6)\/27*6. Let a(k) = 7*k**2 + k - 2. Let l be a(q). Solve 5*j + l - 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40123\/70203 + 1\/10029. Which is the biggest value? (a) -4 (b) -445 (c) q (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + 3. What is the remainder when 48 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/7 - 256\/(-504). Is v < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -79*m + 171. Calculate g(8).\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13834847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, r: 7}. What is prob of picking 3 r and 1 p?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 504b (base 15) in base 14?\nAnswer: 6266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:25 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 82306, 164575, 246818, 329023, 411178, 493271?\n\"Answer: -2*g**3 - g**2 + 82286*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -3, 20, 61, 126, 221, 352, 525?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/7 - 82*b**4\/7 - 100*b**3\/7 + 2200*b**2\/7 + 432*b\/7 - 7488\/7 = 0. What is b?\nAnswer: -39, -6, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8776 = 2*n, 175*a + 3*n = 179*a - 17559. What are the prime factors of a?\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 0.9, -13, 23, 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**8\/10080 - f**7\/2520 - f**6\/720 + f**5\/3 + 13*f**2. Let r(m) be the third derivative of p(m). Calculate r(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*j**2 - 30*j + 4.\nAnswer: 2*(j - 2)*(7*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 51.71179 days?\nAnswer: 4467898656000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 5. Let o = 0.01 - 0.16. Let l = 32 - 31.7. Which is the biggest value? (a) i (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12980?\nAnswer: 2, 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*k = 2*h - 4, 2*h - 4*k = 0. Suppose 4*c - 1159990 = -r - r, h*c - 580025 = 5*r. What is c rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 916 + -678. Suppose -5*u - 2*h = -486, 6*u - 2*u - 388 = -2*h. Suppose -12*j + u = -w. What is the highest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**5 - 4544*u**4 + 830088*u**3 + 839168*u**2 - 830084*u - 834624 = 0?\nAnswer: -1296, -1, 1, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 l when three letters picked without replacement from {l: 4, w: 6}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 21387.86\nAnswer: -64163.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-4 - -12) + -1. Let c be f - (-2 + -6 - -9). Put 0.04, c, 7, -0.5 in descending order.\nAnswer: 7, c, 0.04, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)*h**7)\/(h**5\/(h**(2\/3)\/h))*(h*h**(-2\/7))**47*((h\/(h**(1\/3)*h)*h)\/h)**36 assuming h is positive.\nAnswer: h**(425\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -1006?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from clrrlclrxrc?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 4. Let d(n) be the first derivative of -n**4\/4 - n**3 - 3*n**2\/2 - 3*n + 1. Is d(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29459 * 2.0401\nAnswer: -60099.3059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 239 = 115. Let u = m - 99. Solve 4*w + z - 31 + 12 = 0, u = 3*w - 4*z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r**3 + 70*r**3 - 34*r**3)*(0 - 4*r + 0)*(3*r - r - 3*r) + 0*r**5 + 2*r**5 + 0*r**5.\nAnswer: 182*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 9 = -9*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 29*w**2 + 55*w + 28. Let z be n(-27). Let d be 6\/(1 + (-14)\/(-4)) - z. Sort d, -4, -95, -0.2 in ascending order.\nAnswer: -95, -4, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4287844 centuries to decades.\nAnswer: 4.287844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiilllilllli?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -752796*x**3 - x**2 + 3*x + 189095019 wrt x.\nAnswer: -2258388*x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 2*s + 2*s**2 + s**2 + 9*s**2 - s**2 + (3 - s**2 - 3)*(0 - 2 + 0) + 2*s**2 - 3*s**2 + 0*s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6485, -6960, -7435, -7910, -8385?\nAnswer: -8860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5577 is divided by 502.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3)*c)**16*(c**(-10)\/c*c)\/c**(2\/9))**(-44) assuming c is positive.\nAnswer: c**(16720\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -358, -3, 0, 5, -57, -5 in increasing order.\nAnswer: -358, -57, -5, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37c8b7 - -51?\nAnswer: 37c918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -68*o - 5. Let i be a(-5). Let u = -124 + i. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 6446*a + 5426*a - 7 + 16*a**2 - 14*a**2.\nAnswer: 2*a**2 + 11872*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2234976*u + 22*u**2 + 24*u**2 + 2234981*u.\nAnswer: 46*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**5*f + 20006*a**5 - a**3*f - 2*a**2*f - 19*a**2 + 7*a*f + 228*f - 1 wrt a?\nAnswer: 60*a**2*f + 1200360*a**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 615.6 - 617.6. What is the fifth biggest value in 0, 0.21, x, -2\/5, -1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*s + 3*s = 4, 4*a - 5*s - 5 = 0. Suppose 3*p + 2*m - m = 0, -a*p + m = -8. What is the second smallest value in p, -1, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 0*c + 0*c + (24 + 6 + 52)*(213 - 213 - 11*c).\nAnswer: -904*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/20*(71 + 0 - 1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.027032 and -1.\nAnswer: 0.027032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238160971 to the nearest integer?\nAnswer: 15432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + (sqrt(468) + 1*sqrt(468) + -2)*1))**2.\nAnswer: 96*sqrt(13) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*t**3 + 20*t**3 - 75*t**3.\nAnswer: -82*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6761*w**3 + 3 - 6631*w**3.\nAnswer: 130*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 9*y**2 + y + 4. What is b(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/4 - 4\/(-8). Let z be (-4)\/6 + 26\/(-6). Which is bigger: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 20*g**2 + 9*g - 18. Let a(x) = 2*x**3 + 41*x**2 + 17*x - 35. Let k(v) = -4*a(v) + 9*r(v). Let z be k(-15). Is z bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 3098304130*q + 479974424098752845.\nAnswer: 5*(q - 309830413)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325080 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pffvssysfssppiipss. What is prob of sequence siyv?\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-3)\/(-27))\/1. Let o be ((-2)\/24)\/(-6 + -2*(-115)\/40). Put 0.1, i, o, -2 in decreasing order.\nAnswer: o, i, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1088, -6.\nAnswer: -11, -6, 1088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.756? (a) 3.16 (b) 0.3 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.0335, 0.4, -1\/5, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 817 divided by -229.\nAnswer: -817\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 138, 105, 72, 39?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 3387645051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*a**4 + 4*a**3 + 4*a**2 - 1?\nAnswer: -1800*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1010 - 13?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -596 (b) -2\/19 (c) -0.3 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 4:07 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*b - 3*b + 101, -4*b = 4*r - 52. Calculate the greatest common factor of b and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11049331 plus -1822?\nAnswer: 11047509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 686526339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 771936*l. Let k(q) = -1409*q**2. Give r(k(v)).\nAnswer: -1087657824*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.3 (b) -0.2 (c) 1\/165 (d) 41 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 480\/2*20150\/(-39). What is j rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 355232945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**2 - 4*t**2 + 12*t**2. Let m(r) = 15*r**2. Calculate k(m(g)).\nAnswer: 675*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 plus 339?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 527*o**4\/8 - 3791*o**3\/6 + 25*o**2 + 26*o. What is the first derivative of n(x) wrt x?\nAnswer: 1581","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93.8899976011 - 93.89. What is a rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57740b (base 13) in base 3?\nAnswer: 10220021212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 332, 648, 964, 1280?\n\"Answer: 316*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12116954 to the power of 1\/2, to the nearest integer?\nAnswer: 3481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 2*s - 1. Let g(m) = -2*m**2 + 5*m + 3. Let h(x) = -2*g(x) - 5*o(x). Let d(j) = -j**2 - j + 1. Let i(w) = d(w) + h(w). Give i(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxxcccxacxccccav. What is prob of sequence xcvx?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 - 153 = -7*s - 0*h + 3*h, -6*h = -21 - 9 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*b**4 - 264340*b**3 + 45123724*b**2 - 18017772*b + 1800720 = 0. What is b?\nAnswer: 1\/5, 183, 2460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131579266351019\/4225525872 - -6\/88031789. Let q = p + 31141. Find the common denominator of -1\/27 and q.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*c = 3*r + 17, 3*r + 5*c = 28 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/24 - 255\/340.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-405)\/(-36))\/(-9)*-12*1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 = -u. What is the remainder when 19 is divided by (-63)\/(-6)*u\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560047381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (67 - -75 - 58)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 41 = -4*a + 37, -3*f + 15*a = -15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 308872009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*i + 8. Which is smaller: i or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*(j*j**(-2\/9))\/j)\/j)\/j)\/j)**15*j**(1\/10)\/(j\/(j**(-1\/17)\/j)) assuming j is positive.\nAnswer: j**(-17999\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 9. Let t be (-29)\/3 - (-2)\/3. Let j be h(t). Let q(a) = 3 - 3 + a**2 + j. Let x(n) = 2*n**2. Calculate q(x(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**5 + 0*p**5 + 3*p**5 + (-2*p**4 + 0*p + 0*p)*(3*p - 4*p - 2*p) - 17 + 7*p**5 + 17 - 12*p**4 + 4*p**5 - 7*p**4 + 31*p**4 + p**2 - 2*p**5 - p**2.\nAnswer: 13*p**5 + 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 + 13*r**2 + 19*r - 5. What is z(-4)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Let n(z) = z**3 - z**2 - z + 1. What is the units digit of n(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24961 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 9*c - 880 = -4*t, 4*t = -c + 880. Which is smaller: t or 222?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*t + 6 = 0, 5*t + 16 = 3*i - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170560306 and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 0)\/(0 + -1). Let b = 14.9 + -10.9. What is the second smallest value in 8, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1136636*f**3 - 4307469*f wrt f?\nAnswer: -6819816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 2 - (-14 + 12 - -6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/42 - (-2784)\/126. Suppose 22 = 3*f - 77. Calculate the greatest common divisor of j and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-50)*2200\/(-120)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8416*u + 34166.\nAnswer: -8416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -27?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/2)*g*g)**(-6\/35)*(g**(-5\/7)*g)\/g**(-3\/4) assuming g is positive.\nAnswer: g**(61\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 18. Let r = -19 - d. Solve 0 = -4*p - 2*t - 22, 4*p - r*t + 1 = -1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -4 - (-67304)\/(-1504)\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - 0)\/(3\/((-6)\/4)). Let j(o) = 2*o. Let g be j(2). Solve -b*l = -4*l + g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 997 + 8*i - 12*i - 1005. Give j(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(5*y - 3*y - 4*y + (2*y + y - y)*(-5 - 1 + 5) - 2*y - y + 2*y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 709533919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 2. Let m be (138\/135)\/(4\/y). Let c = m - -6\/5. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z + z - 2*z**3 - 8 + 3 + 6*z**2. Let b = 66 + -8. Let n = b + -52. Let i(s) = 2*s**3 - 7*s**2 - 7*s + 6. Calculate n*j(c) + 5*i(c).\nAnswer: -2*c**3 + c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 10 + 0 + 11*f**2 - 12*f**2 + 6*f. Suppose -7*y - 57 = -10*y. Suppose 3*m - 5*u - 18 = -y, -14 = -3*m + 2*u. Determine v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-12)*b**(-37)*b\/((b**(-2\/5)*b)\/b*b*b)*((b*b**(-1\/38))\/b)\/b assuming b is positive.\nAnswer: b**(-9619\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 + 2*h + 3. Calculate w(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) + (-1)\/(-70). Suppose 32 = u + 22. Suppose -n = -u*n. Is c bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154912 and 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -24 (c) 3 (d) 0 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, g: 1, t: 1, m: 3, s: 4, v: 1}. Give prob of picking 1 o, 1 s, and 1 m.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011001 + -22120202?\nAnswer: -20102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a gram in milligrams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*d**3\/17 - 368*d**2\/17 + 274*d\/17 + 108\/17 = 0. What is d?\nAnswer: -27, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(13\/5))\/(t\/(t\/t**(-15\/4))) assuming t is positive.\nAnswer: t**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 865032 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2 (b) 0 (c) -9 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 261*z + 1312. What is s(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29166, 55480, 81794?\nAnswer: 108108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3062877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 - 2) + (-97 - -79) - -52.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 12390.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y + 100. Let u be h(17). Is -17 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1066*v - 1079*v + 91 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63947\/9 - 7098. Let v = -4867\/226 - -4\/113. Calculate the common denominator of v and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 9 - 8)*(1 + 2 - 1)*(-5*t + 5*t + 2*t**2).\nAnswer: -56*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -45, -89, -129, -165, -197, -225, -249?\n\"Answer: 2*p**2 - 50*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -0.18 (c) -4 (d) -2\/73 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a + a**2 - 73 + 0*a + 9*a. What is the units digit of d(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -19 - 13 - -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 12 (b) 0.1 (c) 1\/7 (d) 69 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 38*w + 54 = -18*w + 12*b, 2*b = -w + 14 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -129 + 250 + 31*f - 121. Let k(q) = -5*q**2. Calculate m(k(t)).\nAnswer: -155*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -393*b**5 - 668*b**2 - 2*b + 420932 wrt b?\nAnswer: -7860*b**3 - 1336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3314 + 3406. Solve -d*y = -101*y + 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-3)*s\/(s**(1\/6)*s)*(s*s**(-2\/9)*s)**(-45) assuming s is positive.\nAnswer: s**(-457\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -1 - (-48 - -39)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from wwyyegwwyewwe?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1483835 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7280 + 7283. Let r = -6 + 8. Let o(k) = k**3 - 2*k**2 + k. Let w be o(r). Sort n, w, -0.5, -0.05.\nAnswer: -0.5, -0.05, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*3367992.\nAnswer: 77463816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a - 6*a**2 + 5*a + (-a - 2*a + 4*a)*(1 - a - 1) + 3*a**2 - a**2 - 3*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 588*x - 608*x. Solve -5*d + d - 5*q = -x, 3 = 3*d + 3*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = 88*p - 1432. Calculate the greatest common divisor of p and 740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119832831?\nAnswer: 3, 107, 41479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g*g*g\/(g\/((g\/(g**(-3)\/g))\/g)*g)*g*g*g))\/g))\/g**(29\/3))**(-45) assuming g is positive.\nAnswer: g**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/7 and -22\/136893155.\nAnswer: 136893155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -30\/7 (b) -325\/38 (c) -5 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1356 (b) -0.0679 (c) 4 (d) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -17. Let d(t) = -t**3 + 3*t**2 + 2*t - 4. What is d(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5498 and 0.1?\nAnswer: 549.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 10 = 8*y. Let b(m) = -m**3 - 6*m**2 - m - 8. Let a be b(-6). Let o be 4 - (0 - (a + 1)). Which is smaller: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (4\/(2 - 3) - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/(-4) + (-8)\/32. Let f = m - 8. Let u be f - 1\/2*-6. Solve u*d - 6 = 2*t, t - 3*d + 5 = 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 2:04 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 3*t + 2, 2*y = -3*y - 5*t - 5. Let x be 24\/(4 - 0) + (y - 2). Solve x*o = 11*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1126 - 1114 = 149*r - 7289. Solve r*z + 20 = 52*z + 7*d, 3*d = 4*z + 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 11:54 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -17*q**2 + 363*q + 9. Let b(k) = 4*k**2 - 91*k - 2. Give -9*b(x) - 2*l(x).\nAnswer: -2*x**2 + 93*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -35*p - 2937. Calculate the remainder when v(-89) is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - b**2 - 2*b**2. Let i(c) = -4*c. Give x(i(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -186 or -0.03087?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21253*-18.\nAnswer: 382554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 4, 32, 74, 130, 200?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 149*k - 3194. Let d be p(-26). Which is the smallest value? (a) d (b) 5\/11 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1\/4, 96, 0 in decreasing order.\nAnswer: 96, 5, 3, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 12*u - 5\/2*u**3 - 9\/40*u**5 + 0 + 0*u**2 + 1\/8*u**4. Let o(b) be the second derivative of a(b). Differentiate o(t) wrt t.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2430 - 426 = 3*c - 3*h, 5*c + 3*h = 3316. Calculate the least common multiple of 95 and c.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 153.367, 3, 0, 0.04?\nAnswer: 153.367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -40\/97?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*z - 203*z**2 + 108*z**2 - 5 + 2 + 97*z**2 in the form o*z + u + f*z**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -5 (c) -0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60475?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/3*(-10)\/(-6). Solve -31 = -4*h + h + t*o, 2*h + 4*o + 16 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*b**2 - 9621055*b + 2138010.\nAnswer: 5*(b - 213801)*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-37650)\/(-3012)*4\/(-5)*2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123267 is divided by 8790.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -34. Let q(l) = l**3 + 3*l**2 + 2*l - 3. Give q(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 282*t + 31. Determine v(-1).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 1, -0.4, -5, 1\/31?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 5*f**2\/2 - 6*f + 32. Let x be y(2). Solve 2*d - 4 = -3*s - 14, -4*d = 2*s + x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/(3 - (4 + -2)). Suppose 5*u - 76 = -y. What is the remainder when 49 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 22. Let y be o + 10 - (-4 - 0). Suppose -3*a = -y*a - i - 282, -a + 5*i = -108. Calculate the remainder when a is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2. Let q(c) = -2*c**2 - 5*c - 5. Let j(i) = -2*i**2 - 6*i - 6. Let s(p) = 5*j(p) - 6*q(p). Give t(s(h)).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a + 22. Let o(g) be the second derivative of -g**5\/20 - 5*g**4\/6 - g**3 - 4*g**2 - 12*g. Is o(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11 - -7) + 70\/17. Let r be -11*4\/(-11)*(-1)\/(-34)*8. Factor -24\/17*t + r + 12\/17*t**2 - u*t**3.\nAnswer: -2*(t - 2)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -199 + 203. What is the closest to 0.1 in -0.09, t, -2\/9, -4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216367297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-2 - (-5 - -2)). Let d = 2 - z. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccg when three letters picked without replacement from {g: 6, c: 2, o: 1, r: 4, b: 4}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9058289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 507, 958, 1421, 1896, 2383?\nAnswer: 2882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1255\/2 + 5017\/8. Let w = 0.09 - -3.91. Sort -2\/35, g, w, 0 in ascending order.\nAnswer: g, -2\/35, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1754.\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s - 9*s**3 - 14*s.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 2. Let o(w) = -2 + 1 + 3 - z*w. Suppose -16*l - 39 = 25. Determine o(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 - 26*j**4 + 26*j**4 + (5*j**2 - 3 + 3)*((3 - 4 + 3)*(j**3 - j**2 + j**2) + j**3 - j**3 + 2*j**3 + 4*j**3 - 5*j**3 + 3*j**3).\nAnswer: 32*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + -2. Let r = -0.6 + 3.6. Let d = -0.24 + -0.06. Which is the nearest to h? (a) -2 (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 265 (c) -0.1 (d) -2\/9 (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 7*j - 7. Let y(q) = -q - 2. Let u be y(-7). Suppose -15 = -u*l + 5*f, -3*f - f = 3*l - 23. Calculate b(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 2149 = -52801. Is 63 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 12*l + 25 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.159 times 300321\nAnswer: -47751.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 28*l**2 + 3776*l - 8177. Calculate r(-137).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4\/1*4\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3505, -14038, -31593, -56170, -87769, -126390?\n\"Answer: -3511*z**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**5 + 3*z**3 - 3*z**3)*(-26 + 12 - 15).\nAnswer: 29*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-22)*(-2)\/21*3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*u - 60, 4*l - 4*u = -3*u - 45. Which is smaller: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24611679?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 9 = 4*t. Suppose -t*m = -7 + 3. Does 10 divide (-4)\/((-34)\/30 + m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.113 times -42597\nAnswer: 4813.461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4 - -1)*(3 - 4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.125 - -27.125. Sort -5, 5, 74, t, 4 in descending order.\nAnswer: 74, 5, 4, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 61.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/2 + 2*o**3 - 3*o**2\/2 - 7*o - 4 = 0. What is o?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3, -13, -37, -69, -109, -157, -213?\n\"Answer: -4*s**2 - 4*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58121 + 58123. Suppose -15 = -p + 6*p, 2*p = 5*v + 4. Put v, n, -8 in decreasing order.\nAnswer: n, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 373691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = r + 2. Suppose 4*c + v = 17, -v - v + 14 = r*c. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48.27*0.1.\nAnswer: 4.827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31883*k**2 - 281976*k**2 - 180143*k**2.\nAnswer: -494002*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/15 - 392*k**3\/15 - 6532*k**2\/5 - 38024*k\/15 - 18818\/15.\nAnswer: -2*(k + 1)**2*(k + 97)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 5144172905721?\nAnswer: -5144172905720.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 2 + 3)*(-4 + 4 - 4*w) + (4 - 4 + 3*w)*(-4 + 0 + 2))*(3 - 2*w - 3) in the form d*w + y + i*w**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**3 + 125*p**2 + 53*p + 691. Calculate a(-31).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**5\/5 - 61*z**4\/2 + z**2\/2 + 10*z - 1. Find the second derivative of b(d) wrt d.\nAnswer: -12*d**2 - 732*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 a when four letters picked without replacement from {a: 3, n: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**4\/4 - 95*p**3\/3 - 23*p**2 - 82. What is the second derivative of x(q) wrt q?\nAnswer: 6*q - 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1343*d**2. Let y(c) = -84*c**2 + 20*c. Let u(w) = 25*w**2 - 6*w. Let k(j) = 20*u(j) + 6*y(j). What is k(l(z))?\nAnswer: -7214596*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6486 = 6*y + 8430. Let d = y + 3495. What are the prime factors of d?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v. Give r(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12026950 rounded to the nearest 100000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -1211\nAnswer: -60.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/360 and -101\/108?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/12 and -137\/426.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 510857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 238 + 12. Let j = 4471928.48 + -4472178.479893. Let i = j + x. Round i to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 6961670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11499*k**2 + 1 - 59286*k**2 - 1 - 39606*k**2)*(-3 + 2 + 0)*(-k - 1 + 1).\nAnswer: -87393*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/13)\/(r**(-1\/2)\/r))\/((((r\/r**4)\/r)\/r*r)\/((r\/(((r\/(r\/r**(-2)))\/r)\/r)*r)\/r)))\/((r\/r**(2\/7))**(-5\/11)*r*r*r**(-1)\/r*r**5) assuming r is positive.\nAnswer: r**(11815\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 2\/45*c**5 + 0*c - 8\/27*c**3 - 24 + 1\/18*c**4 - 4\/9*c**2. Factor z(g).\nAnswer: 2*g*(g - 2)*(g + 1)*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6 - -1.659. Let b = 0.116 - z. What is b rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*l - 81 + 16, 5*l = 2*q - 160. Let v = q - 68. Suppose 0 = -a + 50 - 11. Calculate the remainder when a is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*t**2 - 751*t**2 - 486*t**2 + 1507*t**2.\nAnswer: -226*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from grahc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1032, 2241, 3450, 4659, 5868, 7077?\n\"Answer: 1209*g - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.606499 months?\nAnswer: 0.46720825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 4. Let n be c(6). Let y be (-8)\/n*0\/(-2). Solve t + y*t = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 5)*(7 - 7 + 5*b**5) + (2*b - b**4 - 2*b)*(-2 + 2 - 2*b).\nAnswer: -13*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6801 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -198 - -681. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 4\/9 (c) -243 (d) 2\/3 (e) 2.3 (f) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a milligram in micrograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 116 (b) 2\/7 (c) -2\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -39 + -3 + 4 - (52 - (-58 - -113))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 145889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqtqtqqttqqtttttq. What is prob of picking 2 t?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1353044 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069?\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*w**2 + 118*w**2 + 73*w**2 + 78*w**2 - 306*w**2.\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: -55 - (19 + (3 - (65 - 20)))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 276*i + 6348.\nAnswer: 3*(i + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - 0. Let n = q + 24. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 23780*z + 5279736.\nAnswer: 4*(z - 5714)*(z - 231)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 395990 and 395984 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1192, 2451, 3708, 4963, 6216?\nAnswer: 7467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*h**2 - 662*h**2 + 198*h**2 - 652*h**2.\nAnswer: -1144*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 18 + 17 = 0. Suppose -w*g - 20 = -5*j, 2*j - 3*j - 2 = 5*g. Factor 27\/2*l**4 + 6*l - 18*l**j - 3*l**2 + 3\/2.\nAnswer: 3*(l - 1)**2*(3*l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2085 is divided by 1034.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, l: 2, h: 2, w: 2}. Give prob of picking 1 o, 1 w, and 1 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 243?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16899 is divided by 40?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*z - 25 + 25)*(2*z + 2 - 2)*(-3 + 3 - 1).\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 1. Let d = 28908 - 28907. Let q(l) be the second derivative of 7*l**5\/20 - l**4\/12 - 2*l**2 + l. Calculate d*q(p) + 6*f(p).\nAnswer: p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 0 - 1*sqrt(28))**2*-6 - (sqrt(70)\/(-4*sqrt(10)) - (1 + sqrt(175)))) + 2.\nAnswer: -165 + 21*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17041\/6, -1\/2, -2\/71, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**3\/2 - 3*l**2 + 2*l. Let k be (0 - 0) + 4 + 55\/55. Suppose -k*z - 28 = -8. Determine t(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 618 = 218. What is the least common multiple of 24 and m?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a + 10. Let n be z(19). Let r be (n - (2 + 2))\/((-3)\/4). Suppose -85*l + 81*l = -r. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u = -22*u + 31*u + 14. Put 5, -2, -523, u, -1 in increasing order.\nAnswer: -523, -2, -1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 3839.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 162*j**3 + 7899*j**2 + 7872*j + 1971. Let m(i) = 16*i**3 + 790*i**2 + 787*i + 197. Let b(g) = 21*m(g) - 2*z(g). Factor b(a).\nAnswer: 3*(a + 65)*(2*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 1. Suppose 0 = -z - 4 - 4. Let u = z - -23. Let s = u + -11. Calculate m(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**3 - 13*y**2 + 4*y + 12. Let g be k(-7). Suppose r - 5*a - 1417 - g = 0, -r + 2*a = -2467. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -314. Let i = -55 - o. Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*z - 5*k, -5*k = 2*z - 19 + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 22*y**2 - 14*y - 17. Let n be x(16). Suppose n - 54 = 17*g. Let z = -114 + g. Is -41 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-14) + (-103)\/(-7). Let t = 52 - w. Suppose 5*z = r - t, 4*z = 3*z - 5. Solve 3*k - 3*f = -2*k + 6, r = 3*k + f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(20)\/sqrt(5))*-6 - ((sqrt(120)\/sqrt(6))\/sqrt(4) + -4).\nAnswer: -7*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106843515?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67930 divided by 33965?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from iomihioiyomii?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -6786 smaller than -6792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8151*j**3*o**3*p**2 + 105*j**3*o*p**2 + 144793*j**2 - 2*j*o**3*p + 3*o**2*p**2 wrt j?\nAnswer: -48906*o**3*p**2 + 630*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 713*a + 2823*a + 2373*a as n*a + i and give n.\nAnswer: 5909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4038 - 1411. List the prime factors of m.\nAnswer: 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/2*-761*(7 - -3).\nAnswer: 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (18 - -11) + -36?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**4 - 2*q**2 + 2*q**2)*(6*q + 4*q - 14*q + 1468 + 15*q - q).\nAnswer: -30*q**5 - 4404*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g**3 + 13*g**3 + 8*g**3 + 18*g**2 + 7*g**2.\nAnswer: 3*g**3 + 25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + (1*sqrt(539))**2)*-5.\nAnswer: -2695 - 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182, 202, 256, 362, 538?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v + 170 - 104 = -142. Which is the nearest to -0.1? (a) 1\/5 (b) v (c) 270 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -30*t - 15. Let r(q) = 2*q**2 - 87*q - 2295. Let y be r(62). Let n(a) = -a - 1. Determine y*v(u) + 15*n(u).\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 109589647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -67266059 to the nearest one million.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/5))**(-1\/6)\/(x**(-12\/7)*x**(-12)*x))**(-1\/3) assuming x is positive.\nAnswer: x**(-2677\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.7, -5, 0, 0.1, 0.5, 3284, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 76 + 352)*(-4*i - 5 + 2*i**3 + 4*i).\nAnswer: 800*i**3 - 2000","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -258.17898 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6 and 6.6?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*z**5 + 153016*z**4 + 2*z - 16362902 wrt z.\nAnswer: -280*z**3 + 1836192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/41312 and 45\/16.\nAnswer: 41312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 232792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -12, -18, -26, -36, -48, -62?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26319768?\nAnswer: 2, 3, 613, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45126, -89820, -134502, -179172?\nAnswer: -223830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*m + 50 = -248*m + 123*m - 41*v, -2*v - 1 - 3 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a factor of 2037800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k - 177. Give m(-46).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -620553, -1241109, -1861665, -2482221, -3102777?\n\"Answer: -620556*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3003353728 is divided by 615?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-2 - (-1 + -2)). Let y(u) = 4 + 2 - 5 - 3*u**q - 2*u. Determine y(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 14*x + 24*x. Suppose 2*j = 3*y - 5 + 3, 5*j + 24 = -2*y. Put j, 2, 5, x in descending order.\nAnswer: 5, 2, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1135*p**2 + 1374*p - 2758*p + 1384*p as o + d*p**2 + u*p and give d.\nAnswer: -1135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -25*j**3\/2 + 12*j**2 + 7*j + 1. What is the tens digit of p(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8442795?\nAnswer: 3, 5, 17, 113, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (96\/72)\/(4\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 504 divided by 3\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.76663 litres to millilitres.\nAnswer: 46766.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18938341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2180 is divided by 362.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 - 3*h**3 - 2*h - 4*h**2 + 3*h + h**3. Let j be z(4). Put j, -4, -5 in decreasing order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176783028 divided by -2\nAnswer: -88391514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.03 + -0.03. Let v = -0.72 - -2.72. Put v, q, -1 in decreasing order.\nAnswer: q, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 17*z - 4*z. Let v(s) be the first derivative of 1\/2*s**2 - 1\/4*s**4 + 0*s**3 + z + 0*s. Factor v(j).\nAnswer: -j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**2 + 6*t + 4. Let q(i) = -4*i**2 + 6*i + 4. Let r(x) = -6*q(x) + 5*w(x). Let v be r(-5). Let a be (-10)\/(-8)*v*4. Solve 0 = -h + 1 - a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -7. What is the second biggest value in -3\/4, 0.1, 2\/9, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74 and 370428?\nAnswer: 13705836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 20. Suppose 0 = 2*d + 3*d - m. Suppose d*u - 12 = -u, 4*k + 3*u = 16. What is the greatest common divisor of k and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14071178 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by -1*1\/((-2)\/22).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = q + 2*i, -31 = q - 2*q + 2*i. Solve -q = -3*j + 5*g, 0 = 5*j - 6*g + 7*g - 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Let w = 22 - 15. Suppose 10*s - w*s = 18. Do n and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 7*v**2 + 3*v + 1. Let i be l(7). Suppose -4*d + 20 = 0, 0*d = -4*u + 2*d - i. Let h be (u + 30\/9)*6. Solve -3*n - h*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 575 - 1502. Let j = -145 + 464\/3. What is the common denominator of v\/12*(-2)\/(-9) and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 4 + 4)*(-160 + 16 - 270).\nAnswer: 414*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(50)\/sqrt(10) + sqrt(5) + -1 + -5 - (-5 + 0 + 4 + sqrt(720)))**2.\nAnswer: 100*sqrt(5) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*n + 3691 = -2613 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9317 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/5891?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-30277474.\nAnswer: -6055494.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1720*m + 14179 - 80565 = -27*m for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 413*37\/72520*56.\nAnswer: 59\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 111.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 555740*d - 70639*d - 2 + 2.\nAnswer: 485101*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q + q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - -0.04. Let l = -0.7 + -1.3. Put l, v, 2 in increasing order.\nAnswer: l, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2 + 346875*c + 346872 = 0.\nAnswer: -115624, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 34*w**2 + 12. Suppose -172 + 421 = 3*o. What is the remainder when o is divided by c(-34)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 c when three letters picked without replacement from {c: 6, t: 2, s: 10}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 185*p + 180*p - 45 = 0, -5*p = 127*l + 185 - 1328 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 4) to base 14\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*t - 270*t + 527*t = 0. Let j(k) = 2*k + 37. Let n(d) = -d - 19. Let o(q) = -6*j(q) - 11*n(q). Determine o(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22815 rounded to the nearest one hundred?\nAnswer: -22800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/18 and 85\/29163488.\nAnswer: 262471392","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -16. Is j less than -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 13*f**2 + 14*f - 15. Let t = 150 - 138. Let v be c(t). Solve -4*b = -v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + (-506)\/(-23) + -20*6\/(-48)*-20?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/((-264)\/(-1366)) - 84\/(-462) and 11*(0 - (-4)\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + -1 + -2 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51391 is divided by 189?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162944 is divided by 494?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 5. Let c(u) = p*u + 4*u - 7*u. Let d(r) = -3*r**2. Determine d(c(z)).\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*t - 184 - 76. What is the nearest to -1 in -2\/17, t, 8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:19 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373684 is divided by 95?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/20)\/(2\/30). Suppose 0 = k*u - 4 + 13, 0 = n - 3*u - 744. Let y = -265 - n. What is y rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 11:17 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {x: 3, m: 4, g: 6}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 3, k: 5, v: 4, h: 1}. What is prob of sequence ojj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*g**3 + 7*g**3 - 10*g**3 + 5*g**2)*(4*g - 7*g + g) as o*g**2 + j + b*g**3 + x*g**4 + y*g and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:10 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19 (b) -27.79 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 191993?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q - 680. Let m be y(85). Sort -4\/7, m, -31\/3, -2 in increasing order.\nAnswer: -31\/3, -2, -4\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c - 6. Let t(v) = 68382*v**2 + 1. Give z(t(w)).\nAnswer: 341910*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-12))\/((-3)\/(-36)). Let s(v) = l*v - 5*v - v. Let a(d) = -9*d**2 - 11. Let b(n) = 5*n**2 + 6. Let j(w) = 6*a(w) + 11*b(w). Give s(j(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11542, -23064, -34580, -46084, -57570, -69032?\nAnswer: -80464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-31)*y**(-27))\/((y**(-5\/4)*y)\/y)**29 assuming y is positive.\nAnswer: y**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -39575*f. Let r(c) = -c**2. Calculate r(q(x)).\nAnswer: -1566180625*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 g, 1 v, and 1 f when four letters picked without replacement from {v: 1, f: 1, j: 3, g: 1, w: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b + 15*b)*(-191 - 424 + 85).\nAnswer: -7950*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 7, -21, 77 in decreasing order.\nAnswer: 77, 7, -6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -237 (base 8) to base 9\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 7) + (-37 - (-13 + -13)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0.6 (c) 1 (d) -5\/2 (e) -372 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2072?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4966 = -483*x + 292*x for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 13*t + 2. What is the smallest value in -3, 3, t, 29?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 18 + -21 + 16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3. Let s be z(-1). Let f be (13 - s)*((-3)\/(-6) + 0). Calculate the highest common divisor of f and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 677979556 and 8599.\nAnswer: 8599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 2, b: 1, g: 1}. What is prob of picking 1 s and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*z + 1 = -7, 0 = 4*m - 2*z - 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + p)*(p - 4*p + 4*p) + 0 + 0 - 2*p**2)*(1 + 2 - 1).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 times 3.74?\nAnswer: -1.3464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ototttotott. Give prob of picking 1 t and 1 o.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 31 = 137. Let o = f - -7. Let k = o + 80. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -1\/2 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -2a3282?\nAnswer: 2a3285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + 97*d**2 + 799*d + 105. What is r(56)?\nAnswer: -2191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 1 + 10 + -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 334413010 - -4?\nAnswer: 334413014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 1, 3, -3635, -2\/3, -0.004, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v - 12*v + 4*v)*(2 + 2*v**3 - 2) in the form x*v**2 + l + z*v**3 + n*v + i*v**4 and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1334370 - 2460712 = -62*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64908963 divided by 2121.\nAnswer: -30603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 12, -c + 0 = 2*t - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuzrc. Give prob of sequence uzc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205513487 is divided by 11237.\nAnswer: 11231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - ((sqrt(153) + 3)*-5)**2 - sqrt(153)) + 2 + 3)*2.\nAnswer: -8090 - 900*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8207 and 2263717.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 4. What is the units digit of g(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -103*d**4\/6 + d**3\/6 + 90*d**2 - 744*d + 1. Differentiate p(o) with respect to o.\nAnswer: -412*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/84?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/(-28*(-50)\/350)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4.00000022. What is g rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 11\/60*z**5 + 0*z + 1\/3*z**3 - 5\/12*z**4 - 497\/120*z**6 + 2*z**2 + 0. Let p be s(7). Round p to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 2. Let c be r(3). Suppose -5*l - 15 = 0, -2*l + 72 = -w + 3*w. Let g be 520\/w*(-24)\/(-10). What is the highest common factor of c and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f**3 - 13*f**2 - 8*f. Let v(s) = -4*s**3 - 9*s**2 - 5*s. Let m be (-6)\/((540\/(-50))\/9). Determine m*b(j) - 8*v(j).\nAnswer: 2*j**3 + 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -11. Suppose 0 = 3*o - o - 2*l + y, 4 = 2*o + 3*l. Is 10 a factor of -1*((-2 - o) + -30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 3)*(3*i + i - 5*i) - 6*i + 2*i + 3*i + (1 + i - 1)*(5 + 1 + 3) + 4 + i - 4.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 - 2*h**3 + 501*h**2 - 501*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 556.9 + -557. What is the smallest value in -22, n, 2, 3\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3475*x. Let q(a) = -2*a. Calculate q(p(g)).\nAnswer: 6950*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.04+-174.6\nAnswer: -174.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*x - 59*x - 28*x + 43*x.\nAnswer: -117*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/2, 0.2, 2, 19.55, 11, 16, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/3 or 7081?\nAnswer: 7081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369908135?\nAnswer: 5, 1873, 39499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/97591 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72638025, -290552083, -653742173, -1162208289, -1815950425?\nAnswer: -2614968575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -422 - -436.08. Let d = t + -14. Round d to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -488, -491, -494?\n\"Answer: -3*t - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -12*j - 109. What is the hundreds digit of z(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((-21)\/(-420) + (-23)\/(-240)).\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -1281562 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1056 and 11?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x + 3. Let l be c(-2). Let m(g) = -5*g. Let y be m(l). Suppose z + z - 9 = 5*s, -4*s - 31 = -y*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 419, 992, 1813, 2888, 4223, 5824, 7697?\nAnswer: 9848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -642 + 733. Calculate the greatest common factor of 143 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + o - 1. Let v be p(1). Let j = 27 - -58. Let s be 1\/4 + j\/(-100). Does v = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/10))**(-10\/9) assuming r is positive.\nAnswer: r**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than -734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/11 + 2362*a**2\/11 - 659328*a\/11 - 22768632\/11.\nAnswer: -2*(a - 606)**2*(a + 31)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 195*t**3 - 150*t**3 - t - 1304*t**3 - 266*t**3.\nAnswer: -1915*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 357?\nAnswer: 13\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 7*j**2 - 6*j + 1. Determine r(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + r + 22 = 3*r, -15 = -2*h + 3*r. Let l = 2 - -1. Find the second derivative of 4*k**3 + h*k - k - l*k**3 wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 856 + -482. Let g = -496 - -309. Let w = y + g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s - 214 + 5102 = 0. Let m be 1 + s\/(-36) - (-4)\/18. Let k be -3 - (78\/(-10))\/3. Which is the nearest to k? (a) m (b) 1 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14142 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v**5\/7 + 128524*v**4\/7 - 299592*v**3\/7 - 354864*v**2 - 2227360*v\/7 + 1027968\/7 = 0 for v.\nAnswer: -2, 1\/3, 6, 10708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2. Let c(t) be the third derivative of t**5\/60 + 302*t**2 + 4. What is -5*c(m) - 2*h(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-544)\/(-51) - (2044\/(-456))\/(-7)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277, -477, -657, -817, -957, -1077, -1177?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + b**2 + 2*b + 3. Suppose -5*m + 2*m + 4*j = -14, -3*j - 27 = -5*m. Calculate the remainder when x(-2) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 0.4 (c) -2\/3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/t**(4\/3))\/(((t*t**(-2))\/t)\/t)**(7\/10) assuming t is positive.\nAnswer: t**(23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 - ((-125)\/(-2) + 3). Let x = y + 83. Let s be (-2)\/7 - 96\/(-42). Calculate the greatest common factor of x and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6 + (-374)\/(-33). Solve y - 4 = -y + w, 4*y - 3*w - v = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*o**2 + 53 - 46*o**2 - 28 wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8192.664ml to litres.\nAnswer: 8.192664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 60.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*p + 4*h - 20, -5*p - 4*h + 36 = 0. Suppose n = 5*y - 433 + 159, 0 = -p*y - 2*n + 222. What is the remainder when y is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -934\/11 - -85. Sort 3, 1\/8, b in increasing order.\nAnswer: b, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by 115\nAnswer: 119\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40605 is divided by 556.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155460 is divided by 642.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.711135 to 1 decimal place.\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -47575 at most as big as -47576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxooxnnnnxnnononnnxn. Give prob of sequence ooxn.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i + 2 - 4 + 1. Let u be b(-1). Suppose -4*o + u + 16 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10778 divided by -63\nAnswer: -10778\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9 + 5 = 0. Suppose -v = -2*f + 26. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2352 = -5*t + 2327. Which is bigger: t or -300\/59?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88761*i - 56881*i - 35065*i.\nAnswer: -180707*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 19*d + 46. Give v(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 + 3. Let b(m) = -6*m**2 + 4. Let a(p) = -3*b(p) + 4*w(p). Let l(k) = -35*k. Calculate a(l(s)).\nAnswer: 2450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -1 - (-1 + -6 + -92 + 92)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19142283679 rounded to four dps?\nAnswer: -0.1914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n - 3. Let u be x(2). Suppose u*g = -3*z + 4*z + 356, 0 = -2*g + z + 237. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -172 and 4.8.\nAnswer: -825.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3131*z + 8071. Is t(-80) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/10 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*a**3*p - 123*a**3 - 16615*a**2*p + 2*a*p - 103161168*p wrt a.\nAnswer: 432*a*p - 738*a - 33230*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 259 - 119. Suppose 4*s = -s - k. Let r = 55 + s. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -107*y**8\/336 - y**6\/120 - 37*y**4\/24 + 5*y**3\/6 - 84*y**2. Find the second derivative of m(b) wrt b.\nAnswer: -2140*b**3 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:42 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -114221665?\nAnswer: -114222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4499 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-153) + (-16 + 6 - (-62)\/6).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3447*m**2 + 12 - 3451*m**2 + m**3 - 7*m + 6*m to g*m**2 + k + l*m**3 + u*m and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59359 - 2*j**2 + 3*j**3 - j**3 + 59339 to o*j**3 + b*j**2 + v + d*j and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3748 divided by 4?\nAnswer: -937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 8. Let g = 7 - b. Calculate the highest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 80 = -11*c. Let t(u) = -6*u + 53. Let z be t(c). Calculate the highest common factor of z and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p. Let f(h) = -33 - 94*h**2 + 14 + 19 + 0. What is f(s(k))?\nAnswer: -3384*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + 0.05. Let o be (7*(-6)\/4)\/((-3)\/6). Suppose -106 = -4*f - d, -f + 3*d - 1 = -o. Which is bigger: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3612775093\/22131 + -163245. Let i = -312313\/221310 - x. Find the common denominator of 107\/100 and i.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243485 + 486935 - 5*w**2 - 243450.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - v = -635, 4*v = l + v + 167. Is l at least as big as -2046\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -0.36, -628658, -0.2?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tft when three letters picked without replacement from xxxfxxxtxxfxtxfxttxx?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-7))\/(-2))\/((-45)\/(-105))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-4) + -2 + -2. Let j(w) = 37*w**2 + w - 2. Let f be j(y). Find the common denominator of (f\/27)\/((-9)\/(-2)) and 11\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9251*q + 9246*q + 50. Let o = -4 + 4. What is the closest to -1 in q, 3\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence maa when three letters picked without replacement from {r: 3, m: 1, a: 5, x: 4}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 175 = 4*p + 155, -5*p + 25 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4672 - 4235. What is the nearest to -2\/7 in 4, g, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 38507*i + 1925409. Determine l(-50).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-77) - 2\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 4 (c) -1 (d) -3239 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11994 + -11280. Calculate the highest common divisor of t and 609.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0.8. Let c = 2.9 - 16.9. Let g = 18 + c. What is the second smallest value in g, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**6\/540 + q**5\/30 - q**4\/4 + q**3\/6 + 2*q. Let h(t) be the second derivative of o(t). Find v, given that h(v) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6854120 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11206, -11208, -11210, -11212, -11214?\nAnswer: -11216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 977, 1914, 2855, 3800, 4749?\nAnswer: 5702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/200*9*(54\/9)\/6?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*928\/(-960)*-10?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -0.3, 2.5 in decreasing order.\nAnswer: 30, 2.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:55 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(2\/13))*d)\/(d\/(d\/(d\/d**(-1\/3)*d))))\/(((d\/(d\/d**(-1\/4)*d))\/d)\/d)**(-6) assuming d is positive.\nAnswer: d**(-1613\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -44451972442 from 0.44.\nAnswer: 44451972442.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 + 5*u**2 + 6*u + 84. Determine i(6).\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - t - 486, -2*r + 334 = 4*t - 632. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1320*i - 1353*i - 1344*i + 4016*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: a5 (base 16) to base 9\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -138 - -142. What is the second smallest value in -17, 19, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32250 is divided by 2931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 7*b**2 + 4*b - 1. Let f be p(7). Let g = -7 + f. What is the remainder when 58 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 36 + 12 = 0. Let p(l) be the third derivative of 0 + 1\/3*l**n - 1\/10*l**5 + 0*l**4 + 0*l + l**2. Differentiate p(v) wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -695\nAnswer: -4170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g - 2 - 2 - 2*g. Let u be x(3). Suppose 2*d - n = n + 10, 0 = -2*d + 4*n + 10. Solve 20 = d*p, f - 2*f - u*p + 8 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -36*g**2\/5 - 127580*g - 637864\/5 = 0.\nAnswer: -159466\/9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14175, -56533, -127135, -225987, -353095?\n\"Answer: -v**3 - 14116*v**2 - 3*v - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezeeehyzzeyeyhzz. What is prob of picking 2 z?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1\/(-10)*-5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 2214\/360 + (-15)\/(-25).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b**3 + 55*b - 115. Let o(p) = -3*p**2 + p + 1. Let u(v) = -5*o(v) + t(v). Determine q, given that u(q) = 0.\nAnswer: -3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + (3 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/392 and -59\/7056.\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) 1\/6 (c) 25\/5991\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-5)*(-340)\/(-136)*(210\/(-20) + 8).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-24) - 1375\/(-2200). Which is smaller: m or -1\/1325?\nAnswer: -1\/1325","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c + c + (0 + 0 - 2)*(c + 0*c - 5*c))*(2 - 6 + 2*c**2 - c**2).\nAnswer: 9*c**3 - 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7149680 divided by -3\nAnswer: -7149680\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1.4. Let u = h - 7.1. Let c = u + 5. Sort c, 3\/4, 0.3 in ascending order.\nAnswer: c, 0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - m = m + 1612, -2*m - 397 = -w. Calculate the remainder when w is divided by (-6)\/(-9 - -1*297\/36).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1910)\/(-21201)*9\/(-15)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1553, 3601, 6139, 9167, 12685?\nAnswer: 16693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(6 - 0) + 102\/(-110). Is -1 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from cnkkncjnnnnknnkknk.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = 0. Suppose 5*b + 4 = -6. Let s be b - (3 + j) - -2. Which is smaller: 0.2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66513 (base 8) to base 7.\nAnswer: 144400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 15*a - 15 = -3*j, -2*a = -4*j + 20. Solve w - 3*i + 4*i = -1, -w + j*i + 5 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(36)\/sqrt(12))**2 + sqrt(3) - (0 + sqrt(27)\/sqrt(9))) + ((sqrt(3) - (-4 + sqrt(363))) + sqrt(3) - ((sqrt(108))**2 + -3)).\nAnswer: -95 - 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3 - -0.2. Let o = 1.8 - d. Let x = 265 - 262. Put o, x, -0.2 in descending order.\nAnswer: x, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*o*u*v - o*u + 39*o*v**2 + 7*o + 17*u*v**4 + u wrt v.\nAnswer: 78*o + 204*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 l, 1 f, and 1 d when four letters picked without replacement from ubxbdfl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, -346481 in decreasing order.\nAnswer: 0, -11, -346481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4)*10\/3. Suppose 4 = -x*t + 9. Let s(i) = -i**3 + i - 1. Let u(y) = -2*y**3 + 2*y**2 + 3*y - 1. What is t*u(g) - s(g)?\nAnswer: -g**3 + 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5421 by 4.\nAnswer: 5421\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4 - 6)*(-3*x + 2*x**2 + 3*x) - x**2 + 5 + 2*x**2 + 7*x**2 to the form a*x**2 + b*x + i and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -72, -65, -52, -33?\n\"Answer: 3*x**2 - 2*x - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 87. Let a = -28.106 - s. Round a to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1319694 and 17\/4716.\nAnswer: 7918164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 850158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*l**3 - 55*l**3 + 106*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -342 + 2*d + 342 + 10*d**3 - 3*d as r*d**3 + f*d + t + h*d**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 2286 = 4*z - 17*r, z - 4*r = 582. What is the remainder when z is divided by 194?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -75?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*c + 98*c = -35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -37838353506635 and -0.09.\nAnswer: -37838353506635.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/2? (a) 0.1 (b) 2.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {u: 17, i: 2}?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -223.3119481 + 184.311952. Let v = t + 39. What is v rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 52 = -5*b, -17*b - 20 = -12*b for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**8\/6720 + l**7\/504 - l**6\/240 - l**5\/24 + l**4\/3 + l. Let y(a) be the third derivative of b(a). Calculate y(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12330.2 + 12330. Which is the fourth biggest value? (a) y (b) 4\/105 (c) 2 (d) 4 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/28*178948\/332\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9118 < 9145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*q - 750, 4*x - 11*q + 10*q = 12*x - 42 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:02 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - h - 14 - 37 = 0, -2*u - 3*h = 33. Let i be (0 - (-3)\/6)*(-12 - u). Solve -2*l - 11 + 1 = i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 50, 1, 1\/10, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16908 is divided by 780.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*y - 219*y + 89*y + 81*y.\nAnswer: -274*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-1.2325\nAnswer: -1.7325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 27*m**2 + 1. Let f be i(1). Let g be (2\/f)\/(2\/8). Is 6\/7 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**3\/3 - 5*x**2\/2 - 4*x - 4. Let l be o(-4). Let c = 5 - 2. Solve -6 = -c*h - l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 717164946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**3 + 3*g**3 + 3*g**3 + (0*g + g + g)*(-g**2 + 5*g**2 - 6*g**2) - g**3 - 4*g**3 + 6*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/7*v + 40\/7*v**2 + 12*v**3 + 8\/7*v**5 + 0 + 46\/7*v**4.\nAnswer: 2*v*(v + 2)**3*(4*v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4367214 litres?\nAnswer: 436.7214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 - i**2 + 27*i + 8*i**2 + (2 - 2*i - 2)*(4*i - 3*i - 23*i) - 2*i**2 + 3*i**2 - 2*i**2.\nAnswer: 46*i**2 + 27*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 83215243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236, -473, -710?\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 6*j - 1. Let s be k(6). Let f(x) = -19*x + 1. Let o(y) = 2*y. Let p(n) = f(n) - 3*o(n). What is the tens digit of p(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455019149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 890700185 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 10. Let y be p(-7). Suppose -r - y*r = -45. Let f be 4\/20 - r\/(-5). Solve h + 12 = -5*c, f*c = -h - 7 + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - -17 - 11)*(-236)\/6. Let m = o + 361. Solve 3 = 2*l - m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-1 - 216\/(-12) - 72).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 13) to base 4.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102991 divided by -47.\nAnswer: -102991\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - h - 3*h = 33, 0 = -4*u - 4*h - 120. Let x = -38 - u. Let g(w) = w**3 + 9*w**2 - 13*w + 1. Does 32 divide g(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015411 rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 16*o**2 - 59*o - 183. Calculate the least common multiple of 15 and z(-3).\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(-4 + (sqrt(5) + 4)*-1) + ((sqrt(40) - sqrt(80)\/sqrt(32))\/sqrt(8))**2*1).\nAnswer: -519\/8 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v**2 + 31*v + 21. Let z(i) = 48*i**2 + 210*i + 147. Determine 27*w(t) - 4*z(t).\nAnswer: -3*t**2 - 3*t - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, o: 3, v: 4, f: 2, y: 2}. Give prob of sequence yvf.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*m**5 + 986*m**4 - 1471*m**3 + 220532*m**2 - 52 wrt m.\nAnswer: 540*m**2 + 23664*m - 8826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/51 + -35\/408. Let d(s) = s**2 + 4*s + 3. Let o be d(-2). Let k be 10\/(-4)*2\/o. Which is the second biggest value? (a) y (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m**(2\/19))\/(m**(-2)\/m**(-1\/7)) assuming m is positive.\nAnswer: m**(660\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 859353386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-4)*(-6)\/45*-3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 321969\/4 or 80493?\nAnswer: 80493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 13970?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43575 = 10*g - 130455. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqo when three letters picked without replacement from mwoqimm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*p + p, -5*w + 19 = 4*p. Let m(t) = -2*t - 3*t**2 - t**2 - 14 + 15. Let r(d) = 13*d**2 + 7*d - 4. What is w*m(l) + 2*r(l)?\nAnswer: -2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4*s = 5*b + 27, 2*s = 3*b + 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805 is divided by ((-161)\/(-70) + 1\/5)*(-1116)\/(-45)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -267 or -264?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87109 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 divided by 27.\nAnswer: 83\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.014, -4, 2 in decreasing order.\nAnswer: 2, 0.014, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z*(z\/(z**(-3)*z))\/z)*z)\/z))\/(z\/(z**(2\/3)*z)))\/((z**13*z)\/((z*((((z*z**(-5\/9))\/z*z*z)\/z)\/z)\/z)\/z)) assuming z is positive.\nAnswer: z**(-107\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 51672040 to the nearest one million.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 500.7 * 2.\nAnswer: 1001.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. Let r(x) be the first derivative of -2\/3*x**3 + 4 + 0*x + 0*x**2. Give m(r(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i - 7. Suppose -3*a = -5*r - 351 - 55, 0 = r - 4*a + 88. Let z = -61 - r. Calculate the remainder when z is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**30)\/k)\/(k*k\/k**(-1\/60)*k*k))**(-8\/17) assuming k is positive.\nAnswer: k**(-3118\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from ififijlijiiliiiifjj.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3936 a factor of 258944789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1285\/13 + -99. What is the fourth biggest value in y, 0.3, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-624)\/16*(-8)\/(-6)*20\/(-80).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(3\/280*-2).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 8\/17, 0.2, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 16733.\nAnswer: 50199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -116778 > -116779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 8, -0.01 in descending order.\nAnswer: 8, 3, -0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 140. Suppose 0 = -y + 11 + g. Suppose y = 6*l - 3*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1262 + -712. What is the least common multiple of l and 440?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-30)*c*c)\/(c\/(c*c**(-20)*c*c*c*c)) assuming c is positive.\nAnswer: c**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -222?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5517078 divided by 7727.\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/6 and -13\/32085582.\nAnswer: 32085582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39852*l**3 + 449 - 211 - 21138*l**3 - 238.\nAnswer: -60990*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 13946895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 19*m**2 - 55*m - 104. What is w(16)?\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15992785 is divided by 113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {p: 7, n: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*i = 53930, 13*c - 15*c - 5*i = -21587. Is c 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 4271998?\nAnswer: 2, 17, 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 17*r + 12. Determine i(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + x + 33 = 54, -5*n - 3*x + 13 = 0. Solve 4*a + n*k + 15 = 0, -2 = 5*a + 5*k + 13 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -1286 + 1276 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*l + 102, -11*l + 14*l - g - 127 = 0. Solve -l*h + 50*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3 - (-44)\/12. Let v be 1 + (-1 - (-1 + 0)). Let u be (1 + v)\/(2\/j). Solve 0*x + 4 = -u*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 13 - 9)*(18 + 12 + 1)*(-r - 2*r - r) as k + u*r and give u.\nAnswer: -1612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5083.558 decades to millennia.\nAnswer: 50.83558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m + m + 4*m. Let x(t) = -3*t**2 + 5. Let g(w) = -1 - 5*w**2 + 3*w**2 + 4. Let y(j) = 5*g(j) - 3*x(j). Determine p(y(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -7. What is the units digit of w\/7 + 64\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1152*y**2 - 320 + 165 + 155.\nAnswer: 1152*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2. Let h be 1\/3 - 2\/6. Suppose 0 = 3*w - 5*w. Let v(o) = h - 5*o + w*o + 0. Calculate v(x(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 2. Let s be n(-2). Put -1, 26, s in increasing order.\nAnswer: -1, s, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -1, -5\/4, 274, 7, -0.4, 0.0146?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 6*k**2 + 756*k + 7122. Calculate j(-9).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-15)*(-2)\/4. What is the nearest to 0.1 in 0.2, t, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-33)*-4*(3*9\/(-54))\/2\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*r**6 + 246644*r**5 + 676*r**2 - 11*r + 665.\nAnswer: -17400*r**3 + 14798640*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 4*c - 4. Let s be g(-5). Let t be -1 + 5 + s\/(-1). Suppose t + 44 = h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 5*f. Suppose 2*x + 2 = f, 3*i = 4*i - 5*x + 11. Let a = i - -33. What is the remainder when a is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-3)\/((525\/10)\/7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**3 - 9*o**2 - 2*o - 3. Let w be u(-2). Solve -6*i = -i + w*l - 40, 2*l = 5*i - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 11365.\nAnswer: 11365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 3721, -0.3, 0.1, 490?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1883.2479?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 1. Suppose 4*g + 3*n + 39 = -2*n, 33 = -3*g - 5*n. Let v(t) = -8*t + 4. Determine g*u(p) - v(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(-342)\/(-285).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -56, -5, 1 in descending order.\nAnswer: 1, -1, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10*-4 - (-100 + (-54557)\/(-890))\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/3)\/((-91)\/(-273))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11591 and 12199095?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n + 7*n**2 - 2 - 29*n**2 + 8*n**2 + 11*n**2. Let l be u(1). Sort -9, -5, l in decreasing order.\nAnswer: l, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m - 38. Let z(r) = -4*r**2 + 4*r - 3. Let g be z(2). Calculate the remainder when 10 is divided by u(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*s - 3. Let r(l) = 47*l - 11. Let q be r(s). Suppose 2*n - 3*k + 22 = q, k - 5 = 0. Is n a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10563 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -52. Let p(d) be the third derivative of 0*d**3 + 0*d**4 - 2\/315*d**7 - 1\/72*d**8 - d**2 + 0 + 0*d**5 + 0*d + o*d**6. Factor p(z).\nAnswer: -2*z**4*(7*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Let q be (37\/(-3))\/(275\/(-90) - -3). Let b = q - 220. Solve -b = y*v - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14\/13, 3527, -0.5?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 7:43 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 2, x: 1, e: 1, u: 1, g: 1}. What is prob of sequence ww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -407131 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -6*b + 464. Suppose -5*h + 218 = -b. What are the prime factors of ((-2)\/6)\/((-2)\/h)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -5*v, -94*c + 4*v = -99*c - 46 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83866002 a multiple of 1039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6*4\/(-32))\/(-63*(-5)\/(-24))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-9) - 32\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 2*p - 6 = -3*q, 0 = -p - 3*p - 4*q + 4307 - 4283 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 1809 = -21*l. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*i - 226*i = -72 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -4*533\/(-164).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 1. Let m(a) be the first derivative of -7*a**3\/3 - a**2 + 7*a + 7. Calculate -6*j(p) - m(p).\nAnswer: p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 167165178\/3253 - 51388. Do a and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/28 - -51\/140. What is the closest to c in -0.4, 2\/33, -4?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148776795*v**2 + 277*v**3 + 148776795*v**2.\nAnswer: 277*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273325090.\nAnswer: 2, 5, 27332509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 414 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-6))\/((-4)\/22*(-77)\/(-84)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {s: 2, q: 1, j: 2, o: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*r + 393482 = 391220 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b - 1119. Let z(a) = 401*a. Determine z(h(d)).\nAnswer: -1203*d - 448719","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/5*(-35)\/7. What are the prime factors of 3 + 3*(-46)\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -89, -103, -117, -131?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.964942 - 13.96503. Let y = l + -6. What is y rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-9*t - 3*t + 33*t) + (2 + 2 + 0)*(-3*t - 2*t - 2*t).\nAnswer: -49*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 0*m**2 + 604*m**3 - 5*m**2.\nAnswer: 604*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 88943450969.\nAnswer: 88943450970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Suppose -2*m + 3*k - 4 = -7, -5*k + 20 = 5*m. Suppose -5*s = m*s. Solve s = -2*a + z + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55713193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2. Let a(y) = -6*y**2. Let g(u) = a(u) + 3*p(u). Suppose -4*v = -0*v - 32. Let j(n) = 5*n + v*n - 13*n - 2*n**2. Give j(g(o)).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 28. Let a(g) = -g - 1. Let p(z) = -z. Calculate n*a(d) - 2*p(d).\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2242.2, 3, 33?\nAnswer: -2242.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 7 = 3*u, 3*w + 173 = -5*u + 168. Let y(q) = -q**3 - q. Let c(g) = 4*g**3 + 7*g. Determine u*c(t) - 28*y(t).\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:21 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -362 + 2559\/7. Calculate the common denominator of b and -29\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90 + 2*r**4 - r - 4*r + 91 + 2*r**3 as c + t*r**3 + j*r + o*r**2 + n*r**4 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6182243897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*j + 5*p - 19, -2*j + 3*p = 5. Suppose j*z = 4*z - 240. List the prime factors of (-1)\/(3 - z\/39).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = i - 2*i, -3*w - 119 = -5*i. Let u = 36 + w. Suppose k + x - 1 = 0, k = 3*k + 5*x + 10. Solve b + u = k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**2 + 33*h**2 + 166 - 707 + 3*h**2.\nAnswer: 53*h**2 - 541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyqgqyyqhqhyyhyhhq. Give prob of picking 2 h and 1 q.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (4 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/7 + 4522*c - 35784847.\nAnswer: -(c - 15827)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -2 (c) 16\/7 (d) 0.2 (e) -3.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrjw when four letters picked without replacement from rwvrwrrjwjw.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-5588)\/6)\/((-526)\/789)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-276)\/(-10)*2475\/2970?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 - 3*t - 18. What is the least common multiple of f(-4) and 22?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 26*y**2 - 96*y + 277. Is r(36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -138 + 134.55. Let m = g + 0.45. Let u(s) = -s**2 - 6*s - 3. Let w be u(-6). Which is the closest to w? (a) 1 (b) 1\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 24 = 3*u. Let i = -0.6883 - 2.3117. Which is the third biggest value? (a) i (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 13, -3 in increasing order.\nAnswer: -3, -1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81717\/59 - -1385. Let p = w - 112\/177. Which is the closest to 0? (a) -4 (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 21*x**2. Let d(m) = 92*m - 45. Let g(c) = -94*c + 36. Let s(k) = 4*d(k) + 5*g(k). Calculate s(q(r)).\nAnswer: -2142*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5 - 0\/(16 + -6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101\/2 or -2.1?\nAnswer: 101\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.1 + 7.7. Let l = 2.4 + -3.5. Let o = m + l. Round o to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 957.69 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in -2\/9, -2, -23?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-28))\/((-29)\/(-58)))\/1?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**3\/3 + 731*z**2\/2 + 3703*z + 4078. What is the derivative of u(l) wrt l?\nAnswer: 2*l + 731","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(4\/13))**(-29)\/(y**(7\/6)\/y*y*(y\/y**(3\/2))\/y*y) assuming y is positive.\nAnswer: y**(-1505\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -18*i - 104. Let h(d) = -3*d - 18. Let x(o) = -34*h(o) + 6*w(o). Let q be (-2)\/(2 - 32\/20). Calculate the lowest common multiple of 21 and x(q).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2122201002 (base 3) to base 4\nAnswer: 30300302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6062 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 31*n - 21. Let w be r(1). Let a be 1 + w\/(-2) - -5. What is the smallest value in -2, a, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/10*3420\/855.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/183444 and 25\/596193.\nAnswer: 2384772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 81694*r**3 + 3*r**2 - 7*r + 5. Is o(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v*v*v**(-11))\/v*v**(1\/5)*(v*v*v\/((v**(-2\/5)*v)\/v)*v)**17 assuming v is positive.\nAnswer: v**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4193484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than 37\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22175 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3711870873 - -3?\nAnswer: -3711870870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, t: 15}. Give prob of picking 4 t.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14323272 is divided by 138?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15822, -31668, -47514, -63360?\nAnswer: -79206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = -5*u. Let w = -189 - -185. What is the units digit of (-5)\/(2 + w + u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + sqrt(72) + sqrt(72) + 2 + -1)*-3.\nAnswer: -54*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8243800 rounded to the nearest 10000?\nAnswer: -8240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 17. Let w = o + 2. What is the smallest value in 0.4, -4\/7, w?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 35, 72, 123, 188, 267?\n\"Answer: 7*q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5da (base 14) in base 9?\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.441 - 0.041. Let x = w - 1.4. What is the second smallest value in 2\/15, 12, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -28*n**2 + 7*n + 3. Let s be i(-5). Let j = 605 - s. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3999 divided by -21157?\nAnswer: -3999\/21157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 143\/11 - ((-4)\/8 - (-26)\/4). Solve -15 = j*g - 12*g, -2*z = -4*g + 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378949.5 centuries in months?\nAnswer: 454739400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5 + 1137*j**4 + 171180*j**3 + 1446336*j**2 = 0. What is j?\nAnswer: -108, -9, 0, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(-6*(sqrt(10) - sqrt(40)\/sqrt(4) - sqrt(10))))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 231\/9*7\/7 + 13. Let b(r) = 2*r**2 + 7*r - 9. Let y be b(-7). Do y and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 10 - 4. Suppose 20 = -0*m - 5*m. Let s = -4 - m. Solve -3*k - 12 = s, -p*g = -7*g - k - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2\/(f*f*f\/f**6))**13 assuming f is positive.\nAnswer: f**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (369\/(-246))\/(-1 + 14\/12). Let c(z) = -z**2 + 88. Let y be c(n). Calculate the highest common factor of y and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 5*p**4\/4 - 40*p**3\/3 - 25*p**2\/2 + 420*p - 925. Factor x(v).\nAnswer: 5*(v - 7)*(v - 4)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3452 divide 413953664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**3 - 28*n**2 - 26*n + 86. Let f be i(6). Sort 44, -21, f, -4 in descending order.\nAnswer: 44, f, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (-1*(-2 + sqrt(7) + sqrt(7)))**2 - (sqrt(98)\/sqrt(2))\/sqrt(7).\nAnswer: -8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 4*k**3 - 2*k - k as j*k + x*k**3 + s*k**2 + c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/4)*o**2*o)\/((o*o\/o**(-2\/15)*o)\/o*o**(-1\/2)))\/(o**(3\/7)\/(o*o**(-1\/5))*(o**3\/o)\/o*o*o\/(o*o**5\/o)) assuming o is positive.\nAnswer: o**(377\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 + 196. Let o = c + -152. Let a = o - -51.00000072. What is a rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2899 and -26681158.\nAnswer: -26684057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5389 and 3383?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102020113 + 1120?\nAnswer: -102013443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 6 - -9 - (-10 + -7).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o**2 + 50*o - 106. Let f be g(-11). Solve f*i = 71*i - 4*h + 3, 5*i + 5*h + 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*y**2 - y - 377*y**2 + 3*y to the form n*y**2 + p + h*y and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3826, 7660, 11488, 15304, 19102?\nAnswer: 22876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 6 + 45 + -31 - (-33 + 1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18973*u + 9696 = 18165*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 468 and 8?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14\/401 - -10715\/3208. Find the common denominator of p and -123\/580.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67231*x - 402 wrt x?\nAnswer: 67231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 + 2*d + 2*d**3 + 0*d + 9 as i*d**2 + h*d**3 + a + v*d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 12. Let a be (1\/(f\/(-6)))\/(-3). Let s = 23 + -139\/6. What is the nearest to a in -0.4, -1, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-550)\/(-125) - (-2)\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -45 + 41 - 46\/(-11). Which is the third smallest value? (a) n (b) 64 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 11.92?\nAnswer: -35.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26184913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39121? (a) 1 (b) 0.11 (c) -0.36 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3. Let x(n) be the first derivative of 5*n**3\/3 + 15. Give x(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and -4307130?\nAnswer: 4307124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2, -2, -146, 8.\nAnswer: -146, -2, 0, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 = 3*u, -84 = -4*v - 5*u - 70. Solve 3*r + v = -8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86676061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*1*-5 + ((sqrt(119) + -1*sqrt(119))*6 - sqrt(119)) + sqrt(119) + sqrt(119))\/(-2*sqrt(448) - -6*sqrt(28)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/7870454 and 19\/4881674.\nAnswer: 385652246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 8*x - 1. Let n be m(-6). Let v(b) = -15*b**2 + 35*b - 29. Let j(l) = 7*l**2 - 17*l + 14. Let t(f) = n*j(f) - 6*v(f). Determine t(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23349330 to the power of 1\/2, to the nearest integer?\nAnswer: 4832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3075632 is divided by 50?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, j: 3, y: 3}. Give prob of picking 1 b and 3 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 + 10*f + 92. What is m(9)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1496 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1267, -4667, -10197, -17857, -27647, -39567, -53617?\n\"Answer: -1065*b**2 - 205*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 41*w**4\/24 + 7*w**3\/6 + 45*w**2. Differentiate a(r) with respect to r.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -0.4, -9\/17, 5, -1.\nAnswer: -35, -1, -9\/17, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1685*l**3 - 501*l + 14647411 wrt l.\nAnswer: -5055*l**2 - 501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8954 divided by 174.\nAnswer: -4477\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16078 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 divided by -4?\nAnswer: -331\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 - 1. Suppose -36*q - 2106 = -117*q. Let r be ((-169)\/q - -8)\/((-5)\/(-2)). Which is the third biggest value? (a) 2 (b) k (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 r when three letters picked without replacement from rreeere?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*a - 2*g, -3*g - 14 = a - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -0.3, 5\/2, 2\/11, -8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/9, -7, 0.808, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (354\/(-5))\/((-484)\/(-1540) - (-52)\/182).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186429340 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -1768. Let q = -652 + d. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -315429 and 5.\nAnswer: -315424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137953383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*y + 8*y + 16. Suppose 12 = 4*r - y*s, r + 0*r = -2*s - 6. Suppose r = q + 15 - 19. What is the fourth biggest value in q, -0.2, 0.4, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 + 614\/4. Suppose 2*h - 5*m - 40 = 32, -m = 5*h - d. Suppose -36 = -r + 5*g, 3*r + g - 38 = 2*g. Calculate the remainder when h is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipip when four letters picked without replacement from ciipciicfpifpifii.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - -26. Let g = p - 11. Calculate the remainder when g is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*m, 5*c + 8 + 0 = -2*m. Solve h - 5 = 0, c*h + 15 = 2*a + h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 3:09 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-88)\/12 - -2)*(-9)\/6. What is the first derivative of 23*r - 12*r + b + 3 - 4*r wrt r?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -1753?\nAnswer: 1754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 + 2*q**3 + 2 - q**3 + 1.\nAnswer: 6*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -6*s. Suppose 2*j + a = 37, -j + s*j + 41 = 5*a. Suppose -o + 41 = b, -3*o - j = -b + 25. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7 - 5*t**2 - 3*t - t**3 + 7 - 5. Let f(y) = 2*y - 27. Let i be f(11). Let k be q(i). Calculate the greatest common divisor of 40 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*k**3 - 7*k**3 - 9*k**4 + 3*k**5 - k**3.\nAnswer: 3*k**3*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132780680.\nAnswer: 2, 5, 59, 56263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3108164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.38 less than 0.2?\nAnswer: 130.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 28*q**2 + q - 1. Let z be m(-1). What are the prime factors of z\/(-13) - -55*1?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, f: 11}. Give prob of picking 4 f.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (3 - (13 - 25))) + 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 + 8*v + 6. Let j be u(-6). Suppose d = p - 2*p + j, -3*d = -3. What is the common denominator of -28\/11 and (p\/(-6))\/(8\/(-6))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1151.863 hours?\nAnswer: 4146706800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 + 12*m - 4. Give l(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 9*i. Let n be (15\/10)\/(6\/20). Let y(l) = 4*l**2 - l**2 - n*l - 4*l**2. Calculate -4*p(b) + 7*y(b).\nAnswer: b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 5500?\nAnswer: 1\/1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, 0, -3, -1, -3043, -57 in decreasing order.\nAnswer: 4, 0, -1, -3, -11, -57, -3043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.49 + -0.09. Let n = -234 + 304.5. Let t = 70 - n. Which is the nearest to 3? (a) t (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + 0.56. Let j = -9 - -8.3. Let o = -1 - j. What is the smallest value in o, 0.3, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 47246*u - 88*u**2 - 47246*u + 8 + u**3 + 6 in the form x + k*u**2 + c*u**3 + z*u and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3942 = 2*q - 20*q. Let y = -209 - q. What is the smallest common multiple of 58 and y?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -232 - -229. List the prime factors of (-5 - -4 - q)*-2 + 95.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 136. Let t be 3948\/(-26) - 44\/286. Let h = w - t. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(-3 - 1 + 0) - 5 + 3 + 1)*(86 - 86 + 16*v).\nAnswer: 112*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -81*i - 5. Let j be c(-2). Is 14\/(-7)*j\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/612150 and 151\/1157520.\nAnswer: 63663600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87272.1 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 8. Suppose -5*z - 14 = -p - 0*z, w*p - z - 22 = 0. Let r = 34 + -33. Solve 4*h = -g - p*g + 31, -h + r = -g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (-5 + 2*sqrt(1377) + sqrt(1377))**2) + 5.\nAnswer: -12413 + 279*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -150657 rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, r: 9}. Give prob of picking 2 r and 2 x.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = -k - n, -2*k - 2*k - 2*n = -720. Let t be 440 + 1*(-6)\/2. Let r = t - k. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*q + h, 55 = 4*q + h + 2*h. Let s be q + -8 - (-1 - (0 - 1)). Solve -s = y + 5*k, k - 6 = -y - 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 - 66. Suppose a*f = 18*f - 89614. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42190, 168748, 379690, 675028, 1054774, 1518940, 2067538?\nAnswer: 2700580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*c + 155*c - 7784 + 615 = 2527 for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 2\/(-2)*2. Suppose j - 19 = 3*j - 5*b, -5*b + 25 = o. Let c(h) = j + 3 - 2 - 2*h. Determine c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(2\/3)*f)**(1\/2)*(f**(-5))**(-1\/4))**(40\/9) assuming f is positive.\nAnswer: f**(370\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 159 from 27.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -85.\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3*(-3 - 0\/6). Let n(q) = 8*q + 3. Calculate n(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9532 - 8062 = 19861*k - 19672*k + 2629 for k.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -1373580, 1 in ascending order.\nAnswer: -1373580, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -31 + 24 + 14 + (0 - -10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 47 = 5*y, -5*c + y + 20 + 167 = 0. Suppose 40 = -2*p - 16. Let a = c + p. Calculate the greatest common divisor of a and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(125) + 0 - (sqrt(50)\/(sqrt(10) - (sqrt(10) + sqrt(10) + sqrt(250)*-2 + sqrt(250))))**2 - (2 + sqrt(5) + -2 + -3 + 3 + sqrt(405))**2.\nAnswer: -8005\/16 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3192)\/171570)\/(10\/25)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -9. Suppose 9*k - p = 12*k. Which is the second smallest value? (a) -2\/5 (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -949166 + -0.2\nAnswer: -949166.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1478 - 1474. Solve -5*f - 5 = b - 6*b, -b + h*f = 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16604, 33222, 49850, 66494, 83160, 99854?\n\"Answer: b**3 - b**2 + 16614*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6409547?\nAnswer: 37, 211, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.76 - 6.6918. What is u rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.46877 to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 181988425 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 39132012.\nAnswer: 195660060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/7*65534\/(-243412).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13555 is divided by 438?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 308673991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9184917 and 518?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -358 - -878. Does 9 divide ((-18)\/(-4))\/(20\/d)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1412\/6273 - 2\/697. Let z be (3\/(-6))\/((-1)\/2). Let a = 1 - z. Which is greater: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -14. Let q = c + 6.12. Let l = 2.88 + q. What is the second smallest value in -1, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41650 and 220745.\nAnswer: 2207450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 - 11442*v + 22885.\nAnswer: -(v - 2)*(v + 45770)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (95\/1710)\/(2103\/264267) + 1 + -8 and -17\/50?\nAnswer: 105150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 12:40 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11 + -4 + -1 - 4 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, -63, -4, -22.\nAnswer: -63, -22, -4, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22205 = 519*h + 2653*h + 1269*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 11\/3 (b) 29\/15 (c) -3\/8 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 4*m - 1. List the prime factors of d(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66457381513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 5.9 (c) -3 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54.66 - -54.86. Sort 3.2, 25, i, 0.1 in descending order.\nAnswer: 25, 3.2, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 6*k**2 - 4*k**2)*(-103627*k - 76248*k - 4 - 5 + 9 - 1964*k).\nAnswer: -181839*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1808630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2. Let d(a) = -405*a**2 + 54*a + 108. Let w(i) = i**2 - i - 2. Let p(q) = -d(q) - 54*w(q). Give b(p(l)).\nAnswer: -246402*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/114*(-1)\/(-13))\/((-2)\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 1:21 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 37. Suppose 2*b + 3*d = -p*d + 136, 4*d = 0. Suppose 6*h - b = 4*h. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48405826?\nAnswer: 2, 7, 493937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*w - 1306*w - 1584*w = -301760 for w.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 98003843*-5\nAnswer: -490019215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**2\/2 - 8*s + 1. Let f be i(-8). Suppose f*a - 90 = a. What is a rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65*(-1095)\/3796*42\/(-45).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u = u + 21 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 36. Let j be ((-8)\/12)\/((-6)\/a). Suppose -j*u + 45 = -0*u. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -4. Let f(k) = -k**3 + 8*k**2 + 10*k - 10. Let o be f(9). Let g = o - r. Solve -4 = g*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56925667 to the power of 1\/3, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - 18*k**2 + 11*k + 10. Calculate j(-9).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 11.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 8:22 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/2841 - 41985\/1894. Let q be ((-2)\/3330)\/(336\/(-1643467)). Let c = -1\/4995 + q. What is the common denominator of c and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 9*s - 4*s + 19, r = 5*s + 27 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2951678\/819 + 3604. Let q be 18311\/8190 - (-6)\/(-18). Let o = j + q. Find the common denominator of 119\/18 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 11:37 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -y - 22, s = y - 6*y + 34. Calculate the least common multiple of 44 and s.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15129128 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -7. Let h = d - -7. Suppose 4*a - 3*r - 15 = 0, 3*a - h*r + 33 = 7*a. Solve -3*l + 5*z = a, 3*l = 3*z + 3 - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259, 278, 309, 352?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/((-30)\/(-4)))\/(-1). Sort r, 0.3, -4 in descending order.\nAnswer: r, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3 + 0*h + 4 - 3*h + 4*h. Let y be j(1). Let q(c) = c**2 - 10*c - 13. Let l be q(11). Sort -5, y, l in descending order.\nAnswer: y, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 7*v + 8. Let n be y(-6). What is the second derivative of -2*i + 0*i - n*i**3 + 5*i wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/41314 and -197\/531180?\nAnswer: 3718260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.9, -1, 5.99 in ascending order.\nAnswer: -2.9, -1, 5.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20385623779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxxxxxxuxqeu. Give prob of sequence uu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3642052 or -3642066?\nAnswer: -3642066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/3)\/((-1590)\/3816). Let b(c) = -c**3 + 7*c**2 + 7*c - 10. Give b(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a - 60. Let y be 14*2\/(-4) + 31. Let f be r(y). Is f less than 153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 327*m - 609*m - 241*m - 246*m + 204*m.\nAnswer: -1219*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 251 and 620723?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -35*h + 48. Let a(i) = -13*i + 12. Let w(z) = 12*a(z) - 3*p(z). Let k(s) be the second derivative of -2*s**3\/3 - 2*s. Calculate w(k(b)).\nAnswer: 204*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from jjrjgjrjjgrj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -14, -21, -30?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4348871 to three decimal places.\nAnswer: -0.435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/135 + (-58)\/(-145)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - u - 5, 33*g - 25 = -4*u - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 323*x + 86. Let w(a) = -323*a - 87. Let z(c) = -4*n(c) - 5*w(c). Is z(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7 - 9 = 0. Suppose j*p + 4*y = -32, 0 = 4*y + 17 + 3. Let w be -3 + (0 - p) - -2. Which is greater: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s + 15. Let j(c) = -10*c + 24. Let w(k) = -7*j(k) + 11*v(k). Give w(9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140220412 (base 5) to base 10\nAnswer: 710732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l + 1. Let y(h) = 1099*h - 2. Determine w(y(o)).\nAnswer: -4396*o + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (3 - 6) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, -463, -1448, -2931, -4912, -7391?\nAnswer: -10368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -1 (c) -3\/10 (d) -1\/5 (e) 0.5 (f) 0.9402 (g) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*x - 224, -3*x + 94 = 2*p - 7*x. Let z = 65 - p. Put 1, z, -0.5 in decreasing order.\nAnswer: z, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -535.7 + 526.7. Let m = 0.11 + -0.09. Let j = m - -0.08. What is the second biggest value in x, j, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (102\/(-24) - -4)\/((-2)\/8). Let a be ((-14)\/10)\/(3\/(-15)). Let q = a - m. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8 + 2 = 0. Let y(w) = -3 + w**2 + 4*w**m + 5 + 0. What is the smallest common multiple of y(2) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 314582199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195 + 148*a**3 - 197 - 152*a**3 + 120*a**3.\nAnswer: 116*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z**2 + 144*z + 10*z**2 - 108 - 22*z**2 - 8*z**2 + 3*z**3 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**6\/120 + 7*m**5\/30 - m**4\/12 + m**2\/2 - m. Let a(u) be the first derivative of f(u). Is a(-14) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Solve -4*s + 4 = -4*y, j*y = -2*y + 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > 4\/2537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2814599507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -188*p + 3. Determine h(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/5)*h*h)**(3\/5)*h\/(h*(h**(-1\/3)\/h)\/h)*h**(-9)*h assuming h is positive.\nAnswer: h**(-362\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 5, o: 4, u: 9}. What is prob of picking 1 o and 1 b?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 3. Let q(o) = 10. Let v(y) = -102. Let s(l) = 10*q(l) + v(l). Determine 4*p(n) - 5*s(n).\nAnswer: -4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -173 and -0.3.\nAnswer: 51.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -141*s**4\/2 - 91*s**2\/2 + s - 130. What is the second derivative of u(x) wrt x?\nAnswer: -1692*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22390*a = 22401*a - 528. Calculate the greatest common factor of a and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/23745727 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + 3*((3 + 4*sqrt(99)*-4*-4)**2 + 5).\nAnswer: 3456*sqrt(11) + 1216558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 33 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/18*(-54954)\/2064 and 17\/2934?\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 10:30 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.088 to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.648897 centuries?\nAnswer: 96.48897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4722 - -4721.999999749. Round y to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009388002 rounded to six dps?\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-4*4*sqrt(1694) - sqrt(1694)) + sqrt(1694))\/(-4*sqrt(28)\/sqrt(4) + (sqrt(7) - (sqrt(7) - -2*sqrt(28)\/sqrt(4)))))**2.\nAnswer: 61952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, s: 2}. What is prob of sequence cscs?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 14 + (50 - 57)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -20*m + 22*m - 22, 5*w - m - 17 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3 = -5*b, 0*n - 5*n - 5*b = 35 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiaiiaoaaoboooaa. What is prob of sequence ai?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3456 - 3451. Let y = 64 + -194\/3. What is the second biggest value in -1.9, -5, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/6)\/((-25)\/(-20)). Let b = -0.5 - -1. Sort 2, z, b in decreasing order.\nAnswer: 2, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(20\/(-1020)*-221).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2492252, -2492242, -2492228, -2492210, -2492188?\nAnswer: -2492162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 3 + -11 - (-5 + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55.4 - -50.4. Which is the closest to 0? (a) 1 (b) 2 (c) p (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1 + 19*a**3 - 2*a**2 - 7*a**3 + 0*a + a - 11*a**3. What is b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180652.02us in minutes?\nAnswer: 0.003010867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -787, -1655, -2523, -3391, -4259, -5127?\n\"Answer: -868*l + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 3*f + 8*f**2 - 569898*f**3 + 569894*f**3 - f + f.\nAnswer: -4*f**3 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3018.\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -288*i + 47*i**4 - 14*i**4 - 15*i**4 + 78*i**2 + 99*i**3 + 96 - 3*i**4 = 0. Calculate i.\nAnswer: -4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5121*m**5 - m**4 + 4*m**2 + 9*m - 174 wrt m.\nAnswer: -307260*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 853906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - 3*w - 2. Let y = 99153 + -99145. What is the smallest common multiple of l(3) and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 3*i - 4. Let p be v(-3). Suppose p*w + 5 = -0. Is 15 + (-2)\/((-2)\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*8832\/1380.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**13*z\/(z\/(z\/(z\/(z*z*(z\/(z**13\/z))\/z)))))**(-39)\/(z**(2\/3)*z\/z**(-9)*z*(z\/(z\/(z*z\/((z*z**2*z)\/z)*z)))\/z**3) assuming z is positive.\nAnswer: z**(2548\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*q - 1405*q + 532*q - 9108 = -491*q for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -183*i - 112 + 96*i + 88*i to the form t*i + n and give n.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 178*g**2 - 2901*g - 218. What is c(-193)?\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -18. Let a(x) = 16*x - 20. Let i be a(3). Suppose -i = -4*d + 8. What is the highest common factor of d and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/5, 1.8 in ascending order.\nAnswer: 2\/5, 1.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 v when three letters picked without replacement from sssvsvvvsvc?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*n = -4*w + 8, 3*w + 3*n + 12 = 0. Let l be ((-2)\/4)\/w*4. What is the highest common factor of 14 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239 by 1804532.\nAnswer: 239\/1804532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7\/4 (b) 71 (c) -8 (d) 2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13932 + 11289.4. Round g to the nearest 10.\nAnswer: -2640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -8. Let u(g) = 126*g - 5. Is u(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {r: 5, k: 1, g: 4, z: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1181, -2373, -3575, -4787, -6009?\nAnswer: -7241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -4*t - 77, 48*t = 46*t + 196*z - 202 - 32 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -51 (b) -0.45 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -548*f**2 + f + 1. Let n(c) = -3*c**2 - c - 1. Give -k(g) - n(g).\nAnswer: 551*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 5*l**2 + 0*l**2 + 5 + 2*l**2.\nAnswer: -6*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156457 is divided by 156442.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 1. Let f = -8 - l. Suppose 4*n - 2*n = 0. Which is the third biggest value? (a) -1 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)\/sqrt(8))\/(sqrt(8)\/(sqrt(20)\/sqrt(5))) + ((sqrt(18) - 1*sqrt(18) - sqrt(18))**2 + -4 + sqrt(32))*-4.\nAnswer: -56 - 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201 by -153.\nAnswer: 67\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55600639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 4*c - 8 = 3*n, 2*n - 9 = -3*c. Suppose n*x = 3*i, -4 = x - 2*i - 0*i. Let p(g) = -x*g + 7*g - 2*g - 3*g. Let y(h) = 6*h**2 + 3. Calculate p(y(q)).\nAnswer: -12*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00035759813 to seven decimal places.\nAnswer: -0.0003576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12523*f*m**2 + 149*f*m + 20*m wrt m.\nAnswer: -25046*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27, 17, 7, -3?\n\"Answer: -10*h + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 261 = 29. Suppose 13*m - i - 7 = 0. Factor 0 + 2\/7*q**4 + 2\/7*q**3 - 2\/7*q**m + 0*q - 2\/7*q**2.\nAnswer: -2*q**2*(q - 1)**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/15 + -1 + -3 + 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167541 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from ozcecoocczcccccccfcc?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h + 3 = 0. Let c = -303 + 307. What is the units digit of (-42)\/h - (4 - c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/4)\/(((-21)\/(-60))\/(-7)). Suppose 7 = -4*i - t + 4*t, -8 = w*i - 3*t. Which is the closest to i? (a) -0.5 (b) 2 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 2\/3, -80, -4, -10\/131, 0.1, 4?\nAnswer: -10\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122046 divided by -10294?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29968339358 + 2*f + 29968339358 + 170*f**2.\nAnswer: 170*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 464523 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3976794 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3589.302483 - -1674956.146517. Let h = l - 1678553.44899963. Let z = 8 + h. Round z to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {u: 1, i: 1, q: 1, z: 2, e: 2, w: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 9:12 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127890 is divided by 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.446485us?\nAnswer: 0.004446485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2624*a**2 + 32*a + 142. Let y(z) = 1750*z**2 + 21*z + 95. Let k(n) = 5*f(n) - 8*y(n). Find the second derivative of k(s) wrt s.\nAnswer: -1760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/1 - (-15)\/1. Let t = u - 10. Determine z, given that z**4 + z**3 + z**2 + z**3 + 2*z**t - 2*z**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -458.9712 - 0.0288. Let i = x - -459.022. What is i rounded to 3 dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16114 and -275.\nAnswer: -4431350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370*z - 470 = -375*z + 5*n, -8 = 2*n. Calculate the greatest common factor of 4770 and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338*o + 120*o + 126*o + 460 = 0. Let u(d) = 9*d - 5. Let a(k) be the third derivative of 49*k**4\/24 - 14*k**3\/3 - 2*k**2. Determine o*a(s) - 28*u(s).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h. Let m be z(-5). Let 8 + 62*g**m - 160*g**5 + 238*g**4 + 3*g**2 - 49*g**2 + 32*g - 134*g**3 = 0. What is g?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115622311?\nAnswer: 503, 941, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.07854 months to millennia.\nAnswer: 0.007756545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*t + 4*t = 198, 4*a - 206 = -5*t. Let o = a + -15. Calculate the remainder when o is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - sqrt(156)*-2)*5 + sqrt(156) + (sqrt(156) - (sqrt(156) - 2*sqrt(156)*3)))\/(-6*sqrt(363)*-1*-1).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5 - 59758*y**4 + 59760*y**3 + 59758*y**2 - 59759*y = 0 for y.\nAnswer: -59759, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + (3 - 1) + 0 + -4 + (46 - 45)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18461 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/158110 and -157\/3870.\nAnswer: 61188570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 332\/10 + 3\/(-15). Let p(f) = -13*f**2 + 4*f - 6. Let s be p(4). Let v be (-8)\/s - (-6)\/z. Sort 4, v, -1\/3 in increasing order.\nAnswer: -1\/3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-1 - (-1 - 4)). Put -0.3, r, -2 in ascending order.\nAnswer: r, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1777\/1428 - -2\/357. Suppose -3*c - 25 = -8*c. What is the nearest to -1\/4 in c, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 1 + 3 + 2*(sqrt(19) + 1)**2)*6.\nAnswer: 30*sqrt(19) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -47, -95, -143, -191, -239?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b**2 + 1 - b + 2*b - 2*b**4 + 0*b - b**3 + b**4 to z*b + q*b**3 + h + j*b**4 + c*b**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 161*b + 9626. What is n(-214)?\nAnswer: -1716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(5) - (-1 + sqrt(5))**2) - (-1 + 1*sqrt(5) - sqrt(5)) - (sqrt(5) + (sqrt(605) - (sqrt(605) + (sqrt(605)*2 - sqrt(605)))))*5.\nAnswer: -9 + 53*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2744 divided by -4?\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - ((8 - -3) + -23)) + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 19. Suppose -3*p - 4 - 53 = 0. Let v be h(p). Solve v = -6*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 673099.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 140 in 43, -13, -0.09, 1\/2?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0. Let i = -16\/5 + 134\/45. Which is the closest to 0? (a) p (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w - 6*w + 9*w + (2 + 4 - 5)*(3*w - 3*w - 2*w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -75569072 divided by -609428\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2902045.538 take away 0.2?\nAnswer: -2902045.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45085357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1382636144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170132731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.50523 to two decimal places.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045516805 to the power of 1\/2, to the nearest integer?\nAnswer: 32334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/12 - (-1)\/(-4). Let z = 22 - 25.2. Let h = z - -3. What is the nearest to u in h, 5, -2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 2, h: 4}. Give prob of picking 2 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.28 - 0.36. Let b = -3.92 + q. What is the nearest to 2\/3 in b, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 8379 (c) -3\/4 (d) -29 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39)\/6*(3 + -61) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16165 (base 9) to base 3.\nAnswer: -120012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h + 6 - 24. Suppose 3*n = -3*p + 17 + 16, 15 = h*p. Do n and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*z = 150*z - 4048. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 15*k - 117. Let c be v(8). Solve c*l - 3*q = 0, -2*l - 4*q - 29 = -5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/6 + (-16 - -8 - -7). Let u**3 + 1\/6*u**5 + 0 + o*u**4 + 2\/3*u**2 + 1\/6*u = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. Let p = -0.08064 - -0.41094. Let k = 0.1303 - p. Which is the nearest to k? (a) 0.4 (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - h**2 - 2*h. Suppose 2*q = 0, 3*k - 75 = -2*k - 5*q. Suppose -3*z = 2*z - k. Give j(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29725\/(-450) - ((-465)\/(-270))\/(-31)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-4 + 1 + 2)) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 5*m = -16*d - 5, 3*d + 3*m + 15 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**3 - 8*w**2 + 17*w - 106. Calculate the lowest common multiple of 16 and n(6).\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/9, 13432.3, 4.\nAnswer: -14\/9, 4, 13432.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1306658 divided by 20.\nAnswer: -653329\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 + 2*d + 1. Let s(t) = 5*t**2 - 25*t - 18. Let w(y) = s(y) + 2*x(y). Determine w(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**4\/3 + 2*n**3\/3 + 4*n**2\/3 - 2*n\/3 - 1 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sug when three letters picked without replacement from {m: 1, u: 4, s: 1, g: 8, w: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 45690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 + 30*u. Let i(x) = -2*x**2. Calculate i(f(v)).\nAnswer: -8*v**4 - 240*v**3 - 1800*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 2, 0, 0.5, -19\/6, -85.\nAnswer: -85, -19\/6, -2, 0, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (-2*sqrt(3))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 202\/18 - 2\/9. Let j(g) = g**2 - 8*g - 13. What are the prime factors of j(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = r - y + 13, r + y + 5 = 0. Let d = r + 39. Calculate the greatest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(209)\/(-1*sqrt(11)))**2 + 3).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88\/123 - -2\/41. Let c = -35.66 - -37. Let n = c - -0.66. What is the smallest value in d, 4\/15, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -250133, -1000572, -2251309, -4002344?\n\"Answer: -250149*s**2 + 8*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -3.4. Let z = -6 - -6. Let q be z + -2 + (-7)\/(-4). What is the second smallest value in q, a, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 229 - 41. Calculate the remainder when f is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4149 divided by 1.\nAnswer: 4149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2687814759?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2274, 4452, 6642, 8844, 11058?\nAnswer: 13284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 - 5 = 7*z - 13 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -245 (b) -1\/5 (c) -1\/7 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u**2 + 8*u + 5. Let s(n) = n**3 + 26*n**2 - 5*n - 102. What is the remainder when m(-6) is divided by s(-26)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.032 * 0.2.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1012, -7834, -26280, -62164, -121300, -209502?\n\"Answer: -969*i**3 + 2*i**2 - 45*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -624 != -625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -45*p**4 + 8724*p**3 - 400458*p**2 - 54132*p + 26775 = 0.\nAnswer: -1\/3, 1\/5, 75, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3, p + 6 = -w - 2*p. Suppose -4*c + 2*h = -12, 4 + 5 = 3*c + 4*h. Let d be c\/2*(-112)\/42. Sort w, -5, d.\nAnswer: -5, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*b**5 + 28256*b**4 + 12615412*b**3 + 123881804*b**2 + 236582368*b - 373107856 = 0. What is b?\nAnswer: -878, -11\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 58*u + 12380. Calculate j(144).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2511*g**2 + 2503*g**2 + 3*g - 3*g.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 2\/5, -0.2, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11169, 24760, 38349, 51936, 65521?\n\"Answer: -g**2 + 13594*g - 2424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1033719929 to the nearest integer?\nAnswer: 32152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 9*v + 13. Let i be z(-10). Let x = i + -8. List the prime factors of 2\/6*x*-15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3267 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4741178 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39397 is divided by 13132.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**4 - 60*m**3 - m + 350 wrt m?\nAnswer: 48*m**2 - 360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 1, 4, -6, 13 in ascending order.\nAnswer: -6, -5, -2, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -550 + 65?\nAnswer: -4da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-20*(-10)\/80). Solve y + 2 = 0, i*y + 5 = 2*o + 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126854640 by -5058.\nAnswer: -25080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + l - 1. Let j(b) = 28*b**2 - b - 8. Let c(q) = j(q) + 5*m(q). Is c(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 3310.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -133 (b) 0.3 (c) 458\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-571 - -611) + (-2 - 26)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -4019.44?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19280644.\nAnswer: 2, 4820161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -43*j**2 - 6*j + 11. Let t(x) = 8*x**2 + x - 2. Let l(c) = 2*n(c) + 11*t(c). Let z = -12 - -7. What is the remainder when l(z) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 5130*u**2 + 3*u + 12250*u**2.\nAnswer: 17380*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b**2 - 97*b + 444. Let x be k(4). Let o(t) = -14*t - 5. Let g(d) = -154*d - 56. Give x*o(j) + 5*g(j).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -32 (b) -2\/9 (c) 8.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1017\/1690 + -51\/169. Let m = 0.37 + 4.63. Let s = -2 + 1. Which is the second smallest value? (a) s (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 8 - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/((20\/(-1760))\/((-83)\/(-332)))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, l: 2, m: 4, t: 4}. Give prob of sequence tmvm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v + 24*v - 58 = -g, 3*v = -g + 66. Suppose b - 232 = 5*b. Let y = g + b. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 7*y - 9. Let z be u(-4). Suppose -8*p + 7*p - z = 0. List the prime factors of -189*p*6\/27.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 + 95. Let x be ((-3)\/(-2))\/((-18)\/(-982799964)) + n. What is x rounded to the nearest 1000000?\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.7 times 1.5?\nAnswer: -14.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**5 - 70*p**4 + 160*p**3 - 10*p**2 - 155*p + 80 = 0. Calculate p.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3386 - -0.47.\nAnswer: -3385.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f = 2*j - 158, -j + 94 = 3*f. Let y = 153 + -37. Calculate the remainder when y is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -696844 divided by -348422?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*p + 2, 208 = -4*o - 4*p + 244. Solve b = 33*t - 30*t + 8, -3*t + 22 = o*b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*k = -10, 8*m - 3*k = 3*m + 38. Let p(f) = -f**3 + 7*f**2 - f + 1. Determine p(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -4 - 148. Let q(t) be the first derivative of 2*t**3\/3 + 27*t**2\/2 - 33*t - 1. What is the hundreds digit of q(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14806 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 8) to base 7\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**5 + 166*c**4 - 72*c**2 - 8*c?\nAnswer: 120*c**2 + 3984*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1802 + 1801.85. What is the fourth biggest value in 3\/2, 0, -9, f?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23004, 23002, 23000, 22998, 22996?\nAnswer: 22994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + n + 2. Let v be q(0). Suppose 10 = 3*f + v*f. Suppose -s - 3*j + 2*j = -188, -f*j = 6. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**6)\/(z**(2\/39)*z))\/(z**2)**(2\/169) assuming z is positive.\nAnswer: z**(3004\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 114 = -2*w, 6*s - 3*w = 2*s + 151. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43727.76 millimeters in centimeters?\nAnswer: 4372.776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10380 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -249, -0.5 in decreasing order.\nAnswer: 11, -0.5, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41639 by -5.\nAnswer: 41639\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 61*g. Let v(x) = 6*x**2 + 102*x. What is a(v(q))?\nAnswer: 366*q**2 + 6222*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*6\/(-12)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 14988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 5, 1\/2, -2\/11, 46, 8404.48?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + -1)*-6 + 5 + 6*(sqrt(72) + sqrt(18) + -5))**2.\nAnswer: -1368*sqrt(2) + 2953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 19*y**2 - y - 31. Suppose 49 - 372 = 17*s. What is m(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -110*y**2 - 86*y + 287. Determine c(3).\nAnswer: -961","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -15*h - 3. Let t be i(-1). Find the common denominator of -27\/13 and 4 - ((-74)\/t - -6).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Suppose u = -2*r + 5*m - 32, 2*r + 0*r = -4*m + 4. Is 3\/r + 30\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -266\/23 or -1546\/3?\nAnswer: -1546\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 8 = 8*h. Suppose f = 2*w - 5, h*w - 12 = 5*f + 1. Is 20 a factor of (16\/(-20) + 2)*(69 - f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**4 + 2*j**4 + 0*j**4 + (28*j**2 - 28*j**2 - 95*j**2)*(-j**2 + 2*j**2 - 2*j**2) in the form n + f*j + i*j**3 + o*j**2 + p*j**4 and give p.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 - (2 + (3 - 2)). Let c(b) = -b - 1. Let t(g) = -29*g**2 - 6*g - 6. Calculate a*c(z) - t(z).\nAnswer: 29*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40054, 79969, 119850, 159697?\n\"Answer: -17*q**2 + 39966*q + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.28 less than or equal to -70\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31462559 is divided by 216.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j + 11. What is the tens digit of f(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102646 = -4869*c - 140804 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 955591.5 millilitres?\nAnswer: 955.5915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.113434 micrometers in nanometers?\nAnswer: 9113.434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/20 + 5*x**4\/12 - x**3\/6 + 7*x**2\/2 - 2*x. Suppose 5*a + 3*d = -40, 2*a - d - d = 0. List the prime factors of b(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.4, -2\/3, 1\/2, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -193174, -386349, -579524?\n\"Answer: -193175*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -5 (c) -47 (d) 11 (e) -20 (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*((-18)\/3)\/2. Let v(c) be the second derivative of c**5\/20 + c**4\/6 - 3*c**2\/2 + 4*c. Let r be v(t). Are -13 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*n = -64*n + 3402. What is the highest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -981143 by 11821.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**5\/20 + 5*o**4\/6 + o**3\/3 + 25*o**2\/2 + 3*o + 121. Calculate y(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 3) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1095 and 6674175.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6\/3 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 11:06 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*g - 29. Let q be (4\/(-5))\/(2\/g). Let c(n) be the second derivative of n**4\/12 + n**3\/2 - 3*n**2\/2 + 5*n. What is c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = d + 3*f - 11, -2*f - 4 = -2*d. Suppose 0*b - 396384 = -2*b. Suppose -286308 = -d*g + b. Round g to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 10:22 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/57 and 6\/247.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*6*-4)\/(sqrt(6) - (sqrt(384) - sqrt(384)*-4)) + -3.\nAnswer: -3 + 8*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/3 - -3) + -2. Let y = 262 - 2886\/11. Which is bigger: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 312*s - 9. What is the units digit of n(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 255190560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -29.4. Which is the third smallest value? (a) p (b) -3\/2 (c) -0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/8*4*3\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5754054445?\nAnswer: 5, 37, 53, 586849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != 113\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/13 + 22474864*m\/13 + 63139938977312\/13.\nAnswer: 2*(m + 5618716)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-13 + 3 - (-122 - -97))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7*(16 - 2196\/126)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b + 54*b + 476*b**2 - 474*b**2 to a + y*b + u*b**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwlw when four letters picked without replacement from wwwxwwlwlllxwwlxx.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 at least -330\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -191*-5397\nAnswer: 1030827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 29 - 305. Let o = k - 46. What is o rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 22 = 6*b. Solve -2 - 18 = b*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 6*x - 15. Let s = -312 + 316. Let g be t(s). Let v = 1123\/5 - 232. Which is smaller: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/399*3\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3\/7*x**3 + 0 + 4\/7*x + 1\/7*x**5 - 2\/7*x**4 + 4\/7*x**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1919920 greater than -1919922?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 3*o - 2410*o**2 - 600*o**2 - 951*o**2 + 363*o**2.\nAnswer: -3598*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-535)\/(-32100)*(-1)\/(25\/40)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s - 3. Calculate the remainder when h(6) is divided by (168\/224)\/(1\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 1216?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18847*j**3 + 5501*j**2 - 5501*j**2.\nAnswer: 18847*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -54887.\nAnswer: 54887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - -5*sqrt(2448) - (sqrt(17) - (5*(sqrt(17) - (3 + sqrt(17))))**2) - (6*(2*sqrt(85) - sqrt(85) - sqrt(85)))\/(-3*sqrt(25)\/sqrt(5))) + 5.\nAnswer: 230 + 71*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 167434316337.\nAnswer: -167434316333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*b**3 - 28*b**3 - 40*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkee when four letters picked without replacement from {e: 4, k: 4, w: 8}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.568 * 0.2.\nAnswer: 0.5136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a77 (base 13) in base 3?\nAnswer: -22110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*v + 6679*v**2 + 115*v.\nAnswer: 6679*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 3*i**2 - i. Let z be c(2). Suppose 1 = z*w - 3. Let u = -3 - -5. Solve w = 4*l - u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1300 - 398 = -168*b - 1114 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**5\/120 + b**3\/12 + 3*b**2\/2 - 3. Let w(d) be the second derivative of y(d). Suppose w(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 11*x + 10 = 0. Is 60 + x + (-9 - -6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 - 37*m + 171. Let o be p(9). What is the greatest common divisor of 72 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5219*b + 1806*b + 1737*b + 1785*b.\nAnswer: 109*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/7)*u*(u*u**7*u)\/u*(u\/(u\/u**(1\/17))*u*u)**(-25) assuming u is positive.\nAnswer: u**(-5071\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2110432421 (base 5) to base 4\nAnswer: -100233231220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 451978382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 732778451.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 49*s**2 + 207*s - 263. Let c be j(-53). Put c, 5, -106 in decreasing order.\nAnswer: 5, c, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-234)\/(-3549)*98\/42.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 122*q**2 - 2*q - 122.\nAnswer: 2*(q - 1)*(q + 1)*(q + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 87 = -123. Does -15 = a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-1)\/5) + (-100)\/(-25). Suppose 10*f - h - 3 = m*f, -12 = f + 4*h. Solve f*k = k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9446291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5520954 milligrams to grams.\nAnswer: 0.0005520954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.24003 * 1126\nAnswer: -270.27378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2972 is divided by 1770.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9385 is divided by 3094.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 248 and 310.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:41 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 31.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w = 0, 3 = -3*g - 5*w. Let j(y) = -29*y - 1. What is the tens digit of j(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4\/6 - 20*s**3\/3 - 25*s**2\/6 + 35*s\/3.\nAnswer: -5*s*(s - 1)*(s + 2)*(s + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 1:49 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(3\/2)*-1. Solve 5*q - 12 = -4*b, -c*q - 9 = -3*b + 3*q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 883, 943, 1043, 1183, 1363?\n\"Answer: 20*g**2 + 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(18) - sqrt(14)\/(sqrt(7) + (1*sqrt(7) - sqrt(7))))*5.\nAnswer: -20 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 744611 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2 = -2*c, -4*q = 2*c + 11 + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. What is the second smallest value in 5, 0.06, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, -24, -62, -124, -216, -344, -514?\n\"Answer: -h**3 - 3*h**2 - 4*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 344.29 + -348. Let h = v + -0.29. Which is the second smallest value? (a) -9 (b) h (c) 0.03 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7004 divided by 103.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.8 (b) -0.57 (c) -0.2 (d) -26 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38900863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u**2 - 3*u - u**3 - 10 - 8*u + 5*u. Let b be j(-7). Suppose 2*x + 2*d - b = x, -2*d = -2*x + 150. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + -42. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23994 or 23993?\nAnswer: 23993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.031 + -91.969. Let i = 91.999919 + j. What is i rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69588.392 + -69278. Let j = w + 0.608. Let h = 310.99853 - j. What is h rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w + 13*w + 54 = 0. What is the second derivative of -9*r + 7*r - r - r - 30*r**w wrt r?\nAnswer: -180*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k + 80. Let o be k\/12 - (-2)\/3. Suppose q - 3*c - 31 = -0*q, 3*q - o*c - 93 = 0. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 132 - 131.8. Which is the smallest value? (a) 2 (b) -0.08 (c) 9 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.61 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*b - 10*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393516 is divided by 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 11*d**3 + 39*d**2 - 7*d + 14. Let g(m) = -10*m**3 - 37*m**2 + 6*m - 12. Determine 6*a(k) + 7*g(k).\nAnswer: -4*k**3 - 25*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 205062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-60)\/(-16) + -2 - (-1)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22340*x**3 + 456779*x**3 - 79673*x**3 + 156038*x**3.\nAnswer: 555484*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -42. Let q = -3.5 + 3. What is the smallest value in 2\/3, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**2 + 13*w**2 - 6*w**3 + 4*w**2.\nAnswer: -6*w**3 + 26*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 378, 360, 316, 234, 102, -92, -360?\n\"Answer: -2*h**3 - h**2 - h + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/419527?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 15\/161?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4+-12.876\nAnswer: -16.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -28. Suppose 2*i + n - 5 = 0. Let r(z) = -58*z + 1 + 63*z + 0*z**2 + 2*z**2. Give r(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534307 + 3*h**2 + 267139 + 267168.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000043790534 to seven decimal places.\nAnswer: -0.0000438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1870*h**2 + 676*h**2 + 7234 - h + 3166*h**2 - 2505*h**2 wrt h?\nAnswer: 6414*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*g - g**4 + 3*g**2 - 23*g - 9*g**2 in the form q*g**3 + b*g + w*g**2 + z + k*g**4 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20914*j**2 - 2 + 45936*j**2 - 1 - 12*j + 36918*j**2.\nAnswer: 61940*j**2 - 12*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 12:22 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -647*t**3 + 5385*t**3 + 3538*t**3 + 1138*t**3.\nAnswer: 9414*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/7 - -2. Which is the smallest value? (a) q (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.162484223 to five decimal places.\nAnswer: 1.16248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 155*c**2 + 83*c + 384. Does 31 divide l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -z - 2*z - 41, -5*z - 3*d = 20. Let v(h) = h**3 + 8*h**2 + 7*h + 2. Let s be v(z). Find t such that 0 + 0*t + 1\/2*t**s + 1\/4*t**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 32) + 14 + (-1 - -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c - 10. Calculate the lowest common multiple of u(7) and 46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -464 and -0.12.\nAnswer: 55.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732115645?\nAnswer: 5, 23, 6366223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 4*m - 1. Let y(q) = -q**2 - 5*q. Let o(k) = 3*r(k) + 2*y(k). List the prime factors of o(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4601\/5 and -920 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1582574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + x + 3*x)*(-3 + 0 + 5)*(0*x**3 + 0*x**3 - 4*x**3) as g*x**3 + v*x**4 + b*x + m + z*x**2 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13193\/8 + 1649. What is the third smallest value in 19, i, -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 103.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 193777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 23 - 125771*h + 125815*h)*(0 - 2 + 3)*(-4 + 2*h + 4 + (-1 + 0 + 0)*(-h + 0*h + 0*h)).\nAnswer: 132*h**2 - 114*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -7385657?\nAnswer: 7385660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 124950, 125094, 125510, 126342, 127734, 129830, 132774, 136710?\n\"Answer: 24*w**3 - 8*w**2 + 124934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 118 and -43999150.\nAnswer: -43999032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276560.\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31755082*u**2 - 30228808*u wrt u.\nAnswer: 63510164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173672 - 173660 + 20*v**3 - 173656 + 520988.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o + v - 1653833, -3*v = -4*o - 7*v + 945068. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 20 = 4*y. Let n(j) = 3*j - 2. Let c be n(y). Let u be c\/4 + 1\/(-2). Solve 0 = u*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -516 + 520. Solve t - 3*t = 3*m - 2, -4*m + a*t - 24 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -14, -12, -10, -8, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 27 - (-2 + (-3 - -2 - -10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**7\/2520 - n**6\/240 + n**5\/12 - n**4\/2 - 2*n**3\/3 + 16*n**2 - 1. Let k(l) be the second derivative of i(l). Factor k(d).\nAnswer: -(d - 2)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*((-253)\/33 + 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-30)*2*(-1)\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2868100 to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 491 - 65. Let l = x + 1583. Does 41 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25768 (base 9) to base 15.\nAnswer: 524b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10303 is divided by 4658?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-3) + ((-1)\/(-19))\/(149\/2831).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1133221 - -122231?\nAnswer: -1010330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + d**2 + 2*d**2 - 2*d**2 + 0*d**2 + 3*d**2 + (3*d - d - 3*d)*(4*d - 2*d - 3*d) + 2*d**2 + 0 + 0 + 2*d**2 - 3*d**2 - d**2 - 5*d**2 + 2*d**2 + 2*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4267 - 677 = 0. Suppose 2*v = -458 + d. List the prime factors of v.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 29 = 3*c + o, -3*c + 18 = 2*o. Suppose -m = -3*m - 10, 3*x = 3*m + 69. Calculate the lowest common multiple of x and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-79)\/((-6636)\/(-48)))\/((-34)\/126*-6).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 14 = 5*c. Let v be -1 - -1*(c + 3). Let x be (-30)\/(-9) - 3\/v. Calculate the greatest common divisor of x and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**4\/54 + 53*v**3\/27 + 272*v. Factor i(p).\nAnswer: 2*p*(p + 53)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-4 + (-45)\/(-10)). Solve -t = q, -5*t - 2 = -2*k + 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 5:26 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1406 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 5. Let k = r + -18.4. Which is the nearest to 0.1? (a) -3 (b) k (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5012.109 + 5010. Round f to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18320 and 9160.\nAnswer: 18320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 7*o**2 - 8*o - 4. Let g = 41 + -19. Suppose 2*d + g = -4*f, -2 = -2*d - 0. Let s be l(f). Calculate the highest common factor of 20 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 6*i + 1. Let j be p(6). Let z = -893.1 + 895. What is the closest to j in -2\/19, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 - 2*x**4 + 0*x**4)*(2*x + 2*x - 5*x + (-1 + 8 - 3)*(x + x + x)).\nAnswer: -22*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 11*l + 180 = 0. Let r = 1 + l. Suppose d - 36 - 19 = 0. Calculate the remainder when d is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -151*a**9\/252 + a**6\/60 - a**5\/30 - 3239*a**3\/6 + 1254*a**2 + 3*a. What is the third derivative of z(b) wrt b?\nAnswer: -36240*b**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, z: 9}. Give prob of sequence zzrz.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 89609700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 1. Let d(z) = -5. Let o(c) = d(c) - 4*g(c). Let r(l) = -11*l + 4. Let p = -4 - 4. What is p*o(y) - 3*r(y)?\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 24. Suppose -5*m = -35 - t. Calculate the lowest common multiple of m and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + ((-5 - 19) + 20 - 24).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2207\/9 - -245. Let u = w + 23\/63. Which is the biggest value? (a) -3\/7 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 7, a: 2}. What is prob of sequence va?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 7*p**2 + 5*p - 2. Let u be q(-6). Suppose -22 = t - u. List the prime factors of 64 + ((-3)\/2)\/(t\/12).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13094.\nAnswer: 2, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 3:05 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 152251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b. Let r(j) = -j + 2*j + j + b*j. Let w(a) = 2*a**2. Calculate r(w(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10201331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-8)\/((-4)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -269949\/121 + 2231. Let f = 10317\/1936 - j. Calculate the common denominator of f and ((-2)\/48)\/(4\/((-1000)\/(-2))).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 13*b**2 + 5*b**2 + 3*b**2 + 12*b**2 + 13*b**2 + b - 44*b**2.\nAnswer: 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 710040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utfsssutusufuhhuuhh. Give prob of picking 1 t, 1 h, and 2 u.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26350?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -133, 385\/2, -62 in ascending order.\nAnswer: -133, -62, 385\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, -6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23149 is divided by 5762.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240331311 - 2?\nAnswer: -240331313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1\/3 (c) 3 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 304396 * -152\nAnswer: -46268192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2075.3049 months in millennia?\nAnswer: 0.172942075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1956 and 9780.\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 2\/675608043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.068 + -14.068. Put 4\/3, r, -0.3, 4 in descending order.\nAnswer: 4, 4\/3, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**13*j**(-6)*j)**2)**30)**(2\/23) assuming j is positive.\nAnswer: j**(960\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.7 - 17.2. What is the second biggest value in 0, -4, g, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*v - 17 - 16, 2*v + 7 = a. What are the prime factors of 330\/9*(-6)\/15*v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (124\/16)\/(((-3)\/1)\/12) and 10\/46 + (-4 - -6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 26) + 15 + (-35 - -4)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.152 * 1448\nAnswer: 220.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 10*z + 19. Let p be n(6). Let m = p + 21. Factor f**2 + 19 - 34 + m + 2*f.\nAnswer: (f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/28, 0.1, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (5 - 3))\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 14 = -4*m + 3*w, -2*m + 2*w - 6 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1821647780 divided by -5.\nAnswer: 364329556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 2*h**4 + 3*h**4 + 2*h + (-3*h**3 + 4*h**3 + 0*h**3)*(9*h - 49*h - 35*h) + (-2*h + 2 - 2)*(6*h**3 - 3*h**3 - 4*h**3) - h**4 + 3*h**4 - h**4.\nAnswer: -71*h**4 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b + 4*h - 2065 = 24*b, -3*b - 1239 = 3*h. Let t = b + 2067\/5. Let p = 354 + -3182\/9. Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 8*j + 12. Let d(h) = 5*h + 2. Let i be d(0). Let q be b(i). Solve 5*x + 2*n - 33 = -0*x, 0 = -q*x - 2*n + 28 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -17. Let h = -13 + t. Suppose 0 = -5*m + 2*s - h*s + 12, m + 5*s - 20 = 0. What is m rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 16203 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 165911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 6 = i, 3*x + 109 = -i + 111 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471786 divided by 235893.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-248)*(-111910)\/(-95)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - 3*d - 4*d)*(1 - 5*d - 1) to k*d + r*d**2 + p and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/44 + (-85582)\/110. Let m(z) = -191*z + 5. Let n be m(-4). Let a = s + n. What is the common denominator of a and 3\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-56))\/(49\/28)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 5*p - 3. Let s be w(2). Solve 5*n - i = -19, 3 = -3*n - 2*i - s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = j + 8*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 2\/9 (c) -40 (d) -1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/161? (a) -4\/9 (b) -0.2 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 2)*(2 + 3 - 3) + 3 - 3 + 2 + 4 - 2 - 1)*(-5*m**2 + 4*m**2 + 7*m**2).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((2 - (-6 + 12)) + 12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25192 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 0 + 0)*((r - 2 + 2)*(-8 - 20 + 5) - 3 + 3 - r + 0*r - 3*r + r + (-2 + 3 - 3)*(4*r + r - 7*r)) in the form q*r + o*r**2 + k and give o.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423 = 5*o + 443. Let s = 0.3 + -0.2. Let y = 0 + s. Which is the nearest to y? (a) o (b) 1\/2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.29 + 0.09. Suppose -1 = 2*x + 15. Let s be x\/12*9\/(-42). Which is the nearest to z? (a) s (b) -2\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1) + 170 + -176.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (42 - 3*x - 42)*((-2 + 1 - 7)*(-2*x + x + 3*x) + 2*x - 1 + 1) in the form d*x + r*x**2 + g and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2 - 4. Let k be o\/10 - (-176)\/20. Suppose k = q + 2. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 16 + 0*m + m**2 - 1\/60*m**5 + 17\/6*m**4 - 15*m**3. What is the derivative of x(o) wrt o?\nAnswer: -2*o + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 221 - 185 - 220 - 215 - 220 + 1050.\nAnswer: -2*b - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -339*a - 9474. Let g be s(-28). Let r(m) = m**3 - m + 1. Let b be r(2). Solve -z = -b*z - g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246268 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -200, -5, -2\/3, 1, -1\/2 in ascending order.\nAnswer: -200, -5, -2\/3, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 94*j - 1479. Give v(74).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b - 8. Let c(d) = -11*d - 8. Give -4*c(x) + 5*w(x).\nAnswer: -x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090453.\nAnswer: 71, 29443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -3 + -1 - (-6 + 18) - 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1575102494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 334615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 36 + 20 = 0. Suppose 0 = x*l + 5 - 25. Suppose 86 = -4*p - 3*y + 274, 196 = 4*p + l*y. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 - 9*z + 9*z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-30)\/((-10)\/2). Let o = 323.4 - 323.7. Put o, v, 0.28 in descending order.\nAnswer: v, 0.28, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -5 + 2*t**2 - 2*t - 2\/3*t**3. Factor n(x).\nAnswer: -2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 11:35 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 66 = 4*o, 4*n + 4*o + o - 132 = 0. What is the remainder when n is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.8, -5\/9, 2\/5, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26279764.\nAnswer: 2, 7, 938563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y - y + y)*(1 - 2 + 2) - 294*y + 1441*y + 1049*y + (-2*y + 0*y + 4*y)*(-1 + 6 - 3) to the form d + b*y and give b.\nAnswer: 2198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 21*p - 3. Determine g(6).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**3\/3 + 7*l**2 + 2*l. Suppose 124*n = -13*n - 22*n - 1590. Give a(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3428 = -2*a + a + 3*u, -5*a = -5*u - 17170. Is a a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-2) - 8)\/4. Let f = 11 + -8. Solve 4*t = 4*z + 1 + 3, v = -f*z + 5*t - 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jiiiij. What is prob of sequence jii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 + 5*w**3 - 10 - 8*w - 6 + 6*w + 3*w**3 as m*w + h*w**2 + g + q*w**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 774 - 770. What is the fourth biggest value in 2\/9, g, 4.18, 0, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*z - 5*u, -4*z + 3*u = -z - 27. Suppose 2*v = -q + 12, -3*v + 29 = -0*v - z*q. What is the lowest common multiple of 8 and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**2)\/m**(-7)*(m\/(m\/(m*m**2*m*m)))**(-49) assuming m is positive.\nAnswer: m**(-235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-440)\/44770*44\/(-8)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 94530 + 109728 = 5*r, -r + 40842 = -5*h. What is the ten thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409234.8 centuries in decades?\nAnswer: 4092348","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(72)*-5 - ((sqrt(72) + 0)*1 + sqrt(72)) - (-5*(1*sqrt(72) + sqrt(72)) - (sqrt(72) - (sqrt(72) + 1 + -3))))**2.\nAnswer: -48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1993777 is divided by 7170.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 41720.\nAnswer: 125160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3339527396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpvvppppukuku. Give prob of sequence vpv.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -o - 6 + 20, 0 = 3*j + 5*o - 38. Solve 7*x - 12 = j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 23*j**2 + 44*j + 39. Let b be u(-21). Let t(x) = 692962*x**3 - 4*x**2 - x + 7. Let n be t(b). What is n rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, c: 9}. Give prob of picking 2 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -86 and 6.\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0\/((-6)\/(-1)) - (1 + -283)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z**8\/420 - z**7\/70 + z**6\/45 + z**3 + 2. Let q(k) be the third derivative of x(k). Factor q(n).\nAnswer: 4*n**2*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (432\/(-24))\/(((-100)\/15)\/10).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110010011101110 (base 2) in base 16?\nAnswer: -e4ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3430\/(-735)*3\/((-2)\/(-2))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1821, 2, 0, 16, 5 in decreasing order.\nAnswer: 1821, 16, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 306 - -462. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 20 = -8*u. Let i be -4 - (u + 5 + -11). Solve 8 = -i*h + 8*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -670 - -0.135288?\nAnswer: -669.864712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400945 divided by 5.\nAnswer: 80189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -7*b**2\/2 + 6*b - 3. Let h(f) = f - 1. Let x(r) = -2*h(r) - p(r). Find the first derivative of x(i) wrt i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c - 6. Let t(z) = z**3 + 8*z**2 - 4. Let x be t(-8). List the prime factors of b(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + (-3)\/(-2))\/(75\/(-150)). Solve -b*d = u - 2, 5 = 2*d + u - 4*u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4179, 8382, 12585, 16788, 20991, 25194?\nAnswer: 29397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 468 + 863. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**3 - 6*v**3 - 2*v**3. Let i(z) = 8*z - 11. Let q be i(2). Let h(k) = -8458*k**3 - 3*k**2 + 8464*k**3 + 3*k**2. Calculate q*h(s) + 3*c(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**2 + 33*w + 32. Let p be i(9). Solve t - 13 = 3*g, -3*g - p*t = -8*g - 25 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/((-175)\/35))\/((-2)\/(-14)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/10)*(t\/(t\/((t*t**(-1\/3)\/t)\/t))*t)\/t)**7)**(-5\/3) assuming t is positive.\nAnswer: t**(259\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 6*r - 8. Let n be o(-4). Suppose n = 5*k - 212 - 438. Suppose -205 = -5*b + k. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2201 = 2*w - 0*w + u, -4*w = -3*u - 4377. Let t = 4485 - w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 200 = -g. Calculate the smallest common multiple of 14 and g.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120204 + -77204. Round x to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 4 - (3 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 0.01602, 32?\nAnswer: 0.01602","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) -1 (c) -8.173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -21*c - 658. Determine n(33).\nAnswer: -1351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(7)*-2 - sqrt(35)\/(sqrt(5)*2))**2*2.\nAnswer: 847\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 3, z: 1, h: 2, b: 4}. What is prob of picking 1 w and 1 z?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or 388?\nAnswer: 388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1390*b*l**2 - 965*l**2 wrt b.\nAnswer: 1390*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-24) + (33\/(-12))\/(-11).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 - (-56 - (-50 - -18)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g**3 + 4. Let o(i) = -i**3 - 2*i**2 + 1. Let b(p) = 89*p**3 + 10*p**2 - 54. Let y(v) = -b(v) - 5*o(v). What is -49*u(d) + 4*y(d)?\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 48?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3551, 7074, 10601, 14132, 17667, 21206?\nAnswer: 24749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1883.34897995938 minus 0?\nAnswer: -1883.34897995938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 160 = -b, -b + 3*a - 161 = 34. Is b equal to -178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*p**2 + 0*p**2 + 3*p**2 + (4*p - 2*p - 3*p)*(-4*p - p + 36*p) as q*p**2 + m*p + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 5*j**2 + 2*j - 5. Let o be c(5). Let l(h) = -h + 2. Let q be l(2). Suppose -2*g + q*g = 0. Put g, 3, o in decreasing order.\nAnswer: o, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 40\/12)*2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, t: 1, v: 1, k: 4}. Give prob of picking 1 t, 1 v, and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 919*w - 70 = 929*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + 5*a**2 - 4*a**2)*(-4 + 4 - 2*a + (a - 2*a + 3*a)*(-2 - 3 + 6) + a + 0 + 0) - a**3 + a**3 - 9*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 8*v - 2. Let 4 - 13*w**3 + 101*w**5 - 21*w + 46*w**3 + v - 113*w**5 + 6*w**2 - 12*w**4 = 0. Calculate w.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -2476, -8765, -21260, -42091, -73388?\nAnswer: -117281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 65\/(-78) - 2\/12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 382, 850, 1500, 2332, 3346?\nAnswer: 4542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 1\/16*b**4 + 0 + 0*b - 1\/8*b**3 - 1\/80*b**5 + b**2. What is z in u(z) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -0*y + 4*y. Suppose -4*q - 3*i + 8 = y, i - 4*i + 11 = q. Let d = -0.029 - -0.129. Sort d, q, 1\/6 in descending order.\nAnswer: 1\/6, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*i**3*v**2 + 84891*i**3*v + 2*i**2*v**2 + 3*i**2*v - 7*i + 2*v**2 - 172976 wrt i.\nAnswer: -822*v**2 + 509346*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 3*d + 3*d + 15*d in the form s + z*d and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 10:47 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8216819 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + (((1 + sqrt(200))*5)**2 - (sqrt(200) + 0 + 1)))*-4.\nAnswer: -20060 - 1960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkchhg. What is prob of picking 1 k, 1 h, 1 c, and 1 g?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 742 + -550. Let f(x) = x**2 - 13*x + 18. Let t be f(12). Calculate the greatest common factor of t and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-448)\/42*(-159)\/(-106).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 11:08 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -220 - -296. What is the first derivative of -4 - o*p + 149*p - 60*p wrt p?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 1 - 0 - 6 - (-4 - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/33 and -76\/243.\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-16 - (-7 - 1) - -13) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12.033 * -850\nAnswer: 10228.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/15)*l*l**(2\/3))\/(l**(-2\/3)*l\/l**(-38)))**(-36) assuming l is positive.\nAnswer: l**(6612\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11*t - 149. Calculate the remainder when 1800 is divided by j(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2398 + 29*r**2 + 4801 + 2*r - 2398 to the form h + j*r**2 + u*r and give j.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {u: 2, e: 2, p: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 438 and 1925375?\nAnswer: 11552250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35622 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -34*n + 1102. Let q be h(32). Which is greater: 185\/12 or q?\nAnswer: 185\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abadaaczddxa. Give prob of picking 1 x and 1 b.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -55375 (base 11) in base 15?\nAnswer: -18bda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -71 and -2125?\nAnswer: 2054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 6*u - 20. Let v(l) = l**2. Let f(b) = 4*b**3 - 4*b**2 + b + 1. Let q(j) = u*v(j) + f(j). Determine q(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861 is divided by 286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6304261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 287989 or 157?\nAnswer: 287989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 - -40. Suppose -6*v + j + 3 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2)**(-24) assuming z is positive.\nAnswer: z**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/375813 and -56\/4743?\nAnswer: 6388821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -1.67180587.\nAnswer: -2.67180587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11\/37, 1, -6, 0.1, 0.4 in decreasing order.\nAnswer: 1, 0.4, 11\/37, 0.1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38308?\nAnswer: 2, 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -64\/7 (b) -59 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2422 + 7?\nAnswer: -2413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*a + 53*a + 111 + 75 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*i + 10 = 128*i - 2*a, -16 = -0*i - 2*i - 2*a - 26 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.098 rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-90)\/(-12) + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/6*(-16716)\/11144.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -4177936?\nAnswer: -4177941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gglggllggggg. What is prob of picking 3 g and 1 l?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62\/19 or -4?\nAnswer: -62\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 1)\/((-20)\/5). Suppose 0*w - 3*w + 135 = l. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21511 + 255?\nAnswer: -21223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 246749 or 246748?\nAnswer: 246749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**5\/20 + k**4\/4 - 9*k**2\/2 + 7. Let d(n) be the second derivative of u(n). Find the second derivative of d(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-14) + 788\/14. Let p(m) = m**2 - 12*m + 1. Let i be p(6). Let o = j + i. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 4*k - 33 + 2*k as l*k + r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 7*l**6\/30 + 11*l**2\/2 + 4*l - 8. Let d(r) be the first derivative of p(r). What is the derivative of d(v) wrt v?\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qsqsqqqsqqqqqsqqssq?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-2))\/(1\/(-3)). Factor 7*l - 31*l - 41*l**b - 27 + 40*l**3 + 11*l**2 - 9.\nAnswer: -(l - 6)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-12))\/(3\/(-36)). Let f be (c - 136\/(-2)) + -4. Find the common denominator of 2\/((-146)\/f - -2) and 62\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 16 - 36 = 0. Suppose -o - 40 = -k, 3*k + 2*o - 125 = -0*k. Let j = k - 41. Solve g + 2*x = 7, j*g - 22 = 2*g - m*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1110 and 629670.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000500109 to six dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2. Let j(n) = -330*n - 9. Let k(x) = -170*x - 5. Let t(u) = -6*j(u) + 11*k(u). Determine t(c(i)).\nAnswer: 220*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*k = 1123*k + 36264 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-36))\/(2\/8). Let u = -0.1 - -0.2. Let d = u + 0.1. Put -0.4, v, d in increasing order.\nAnswer: -0.4, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 78 + 20 = -l, -3*l + 146 = p. Let i be (4\/2)\/(20\/l). Solve -r = 3*k + 11, 2*r = -3*r + 5*k + i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001584 rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889284809.\nAnswer: 3, 629761603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010001000 + -100110110110?\nAnswer: -111000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -71726 (base 9) to base 7\nAnswer: -254514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12055420 - -5?\nAnswer: 12055425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, -0.4, -470, -22, 1\/4 in increasing order.\nAnswer: -470, -22, -3, -0.4, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 240 - 267. Calculate the remainder when 272 is divided by (-641)\/(-9) - (-6)\/v.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g - 48. Determine f(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 610\/50 - (-18)\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16417\/13 - -1273. Let k = r - 3023\/299. Let j = 1.81 - 2.21. Which is the smallest value? (a) k (b) j (c) -5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -11. Let a = 2 - h. Solve -2*k + 0*l - a*l - 2 = 0, -2*k + 5*l = 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 0*q**2 + 4\/3*q**5 + 34\/45*q**6 + 4\/9*q**4 + 0*q**3 - 27*q + 8\/63*q**7 + 0. Suppose s(x) = 0. Calculate x.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-4) + 4 + (-3 - 0).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21983724 divided by 6.\nAnswer: 3663954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 4. What is g(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 17*l - 3. Let m(w) = -26*w + 5. What is -5*m(n) - 8*t(n)?\nAnswer: -6*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 910 = 91*z - 0*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/15*60\/(-8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 + -4028250879747.\nAnswer: -4028250879747.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 1 (b) -2\/109 (c) 30 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 1:04 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 284551.3 days in nanoseconds?\nAnswer: 24585232320000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 9*u = -25*u + 450399. Does 196 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*d + 221 + 15, 3 = -3*j. Let u = 50 + d. Suppose 2*z = 6*b - b - 95, -4*z - 20 = 0. Solve 0 = -r - 4*r + u*o + 23, -b = -4*r + o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -1 - sqrt(11)) + -1 + 0)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 2*o + 2. Determine p(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216, 432, 648, 864, 1080, 1296?\nAnswer: 1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + g + 27. Let i be u(-4). Let p(t) = 3*t**2 - 8*t + 45. Let d be p(i). Suppose 5*x - d = 5*v, 8*x + 5*v - 390 = 3*x. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8736228 (base 9) to base 6.\nAnswer: -244300512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 3*k + 1. Let j be o(2). What is the tens digit of (j\/2)\/((-6)\/216)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -340285.873448 + 340287. Let j = 15.873623 + o. Let a = j - 17. What is a rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8\/(m\/(m*((m*m*m**(1\/13)*m)\/m)\/m)*m))\/((m**(-2\/17)*m)\/(((m*m\/(m**7*m))\/m)\/m)) assuming m is positive.\nAnswer: m**(-178\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/10 and 37\/173915658.\nAnswer: 869578290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9601187 - 0.09.\nAnswer: -9601187.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/1539 and -145\/324.\nAnswer: 6156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - 2*f**2 - 563759985 + f**2 + 563759985.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.22 - 0.22. Let w = z - 9.7. Let x = w - 1.4. What is the second biggest value in x, 1\/6, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 14*r**2 + r - 1. What is the remainder when 55 is divided by f(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075 - 6.9059902?\nAnswer: -6.9809902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.57727 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -29*p + 115. Give u(23).\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 84307 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.04, -1\/4, 0.3, -0.24, 0, 5?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -842468 rounded to the nearest 10000?\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**2. Let c(p) = 8*p + 6. Let h(v) = 7*v + 5. Let t(r) = -5*c(r) + 6*h(r). Determine n(t(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36606130 divided by 11.\nAnswer: -3327830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 7*f - 5. Suppose 2*m = -w + 13, 2*m - 38 = -0*m + 4*w. Let k(u) = -7*u + 2 + m*u - 3. Let h(c) = c**3 + c. What is f*k(q) + 2*h(q)?\nAnswer: 2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -554 - 636. Suppose 4*x - 2 = r. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -9) + -5 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 460473090 divided by 170862?\nAnswer: 2695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + 4 - (0 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5357 + 5704. What is the remainder when k is divided by 346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-9)*(-50)\/(-250)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155246988*p + 77623563*p + 5*p**3 + 77623425*p.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -11*j + 9. Which is smaller: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -643149 divided by -69?\nAnswer: 9321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 9072*q - 1106851. What is z(122)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/3, 0.97, 77 in increasing order.\nAnswer: -16\/3, 0.97, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 3, -1, -4 in increasing order.\nAnswer: -4, -1, -2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + (sqrt(637) + -1)*-4)*-1 + (sqrt(13) - sqrt(117)\/(sqrt(18)\/sqrt(2)))**2 + ((sqrt(637)*-2)**2 - sqrt(637)) + 0.\nAnswer: 14*sqrt(13) + 2544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1838 + 3285?\nAnswer: 5012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 1. Let w be n(4). Suppose -w = -y + 5. Suppose -27 = -5*v + y. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 46 = 11*s. Let v be (5292 + 6)*((-2)\/s)\/1. Suppose 1199 - v = -k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 2*q**2 - 36*q + 18. What is j(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 55. Let s = -40.8 + q. What is s rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 48*f + 212. Calculate i(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 455, 911, 1367, 1823, 2279?\n\"Answer: 456*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*r**3 - 2*r + 2*r + 38*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-1 + 16\/14). Let k(q) = -q**2 + q + 4. Let n be k(0). Suppose n*l - 15 = l. Which is the third biggest value? (a) l (b) 3\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**4 - 6*s**3 - 6*s**2 - 6*s - 11. Let d(i) = -3*i**4 + 5*i**3 + 5*i**2 + 5*i + 11. Let z(v) = 6*d(v) + 5*y(v). Differentiate z(r) wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17550 and 3825?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**3 - 3074*z**2 + 147955*z + 816750 = 0.\nAnswer: -5, 54, 3025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12200203, -12200199, -12200191, -12200179, -12200163?\nAnswer: -12200143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 10*r**3 - 5*r**2 + 5. Suppose -4 = l + 1. Let v(p) = 9*p**3 - 4*p**2 + 4. Determine l*v(x) + 4*z(x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 23*b + 128. What is x(11)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833134 is divided by 119014.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + (1 - -1) + -1. Suppose -3*v - z = -5*v, -2*v = m - 1. Let q = -7 - m. Solve 0 = q*k - 6 - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2302 + 2279 = -4*i, 0 = 2*o - 5*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.2, -0.04, -46?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/6 + 192\/72\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/4 (b) -4 (c) -1 (d) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*((-266)\/(-63) - 5). Factor -2\/3*b**3 - 2 - m*b - 10\/3*b**2.\nAnswer: -2*(b + 1)**2*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 - o - 1. Let u(g) = 21*g**2 + 8*g + 7. Let s(w) = -4*h(w) - u(w). What is s(2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/7 (b) 2 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4 = 0, 3*s - 5*g + 4*g - 28 = 0. Calculate the highest common factor of s and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 254*i - 3319. Let k be w(13). Let r = 3 + -4. Let z be (38\/8)\/(r\/4). Is z <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(245\/(-10)))\/((-1)\/21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-525)\/225*(44\/21 + -2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + 36\/(-28) + (-215)\/301?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 7 = 3. Suppose -110 = 2*m - 120. Which is the closest to -2? (a) m (b) q (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13634671349949.2999906 + -13634684012653. Let y = z + 12662702. Let o = y - -1.7. What is o rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 9:10 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15817525 divided by -14.\nAnswer: -15817525\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -69907, -69958, -69989, -69988, -69943?\n\"Answer: 2*i**3 - 2*i**2 - 59*i - 69848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*y - 17 = -0*g, 4*g = -5*y - 9. Let h be 6\/4*8 - 2. Let o be (h\/225*-6)\/(-2). Sort g, 3, o in descending order.\nAnswer: g, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**6\/15 + 11*a**5\/10 + 13*a**4\/2 + 41*a**3\/3 + 14*a**2 - a + 84. Find r, given that g(r) = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - z - 15. Let g(v) = -335*v**2 - 705*v - 160. Let x(r) = g(r) - 10*m(r). Find n such that x(n) = 0.\nAnswer: -2, -1\/69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110657.\nAnswer: 239, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**4*d + 2*a**2*d + 484*a*d - 26*d - 46 with respect to a.\nAnswer: -8*a**3*d + 4*a*d + 484*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -3. Let d = -1842 - -1848. Suppose -3*z = -6, -2*u + 6*z - 2*z = -4. Solve u*i - d = t*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.8 (b) -1\/22 (c) 0.5 (d) -19 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, z: 5}. Give prob of sequence ii.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187286 divided by 593643?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3560 is divided by 162.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1668 + 1656 - 3324 - 2591*r.\nAnswer: -2591*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)*2)\/(2*sqrt(432)) - (-2 + sqrt(539)*-1 + -1)**2.\nAnswer: -548 - 167*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -27, -59, -111, -189, -299, -447, -639?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 3*k**6 - 8*k**5\/5 - 29*k**2\/2 + 3*k - 286. What is the second derivative of u(j) wrt j?\nAnswer: 360*j**3 - 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 m when four letters picked without replacement from mmggmmmgmgmmmmgmmmg.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 71495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 12. Let r = 24 - -2. Let y = r + -13. Solve -3*u - 19 = -z*f - 0*u, u = 3*f - y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 10 - 25 = 0. Suppose -13 = -5*l + 3*f, 1 - h = -f. Suppose 82 = l*r - 28. Calculate the least common multiple of r and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**3 + 32*q**2 - 5*q - 125. Let d(p) = -10*p**3 + 64*p**2 - 9*p - 249. Let c(b) = 3*d(b) - 7*j(b). Factor c(h).\nAnswer: -2*(h - 2)*(h + 2)*(h + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -5601*w**5\/20 + 242*w**4\/3 - w**3\/6 - w**2\/2 - 3044*w. Find the third derivative of r(j) wrt j.\nAnswer: -33606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/3, -3, -4, -1.55?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by (11\/(-2)*3\/1)\/((-55)\/2640).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71831024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -38*o - 660. Calculate the remainder when m(-22) is divided by 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -123*g**2 + 31*g**2 + 1182*g**3 - 4*g**4 - 2306*g**3 + 56*g + 1164*g**3.\nAnswer: -4*g*(g - 7)*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1661009.09 from -3.\nAnswer: -1661012.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -290?\nAnswer: 28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 19*p**3 + 30*p**2 + 101*p + 34. Determine c(-4).\nAnswer: -1106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**4\/2 + 10*b**3 + 75*b**2 + 250*b + 20. Let y(g) = 0. Calculate g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1576988?\nAnswer: 2, 7, 17, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30.63 - 28.21. What is c rounded to the nearest integer?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 51*v + 4. Let u be q(0). Find the first derivative of -11*o**3 - 4*o**u - 96 - 6*o**3 - 22*o**3 + 75*o**3 + 7*o**4 wrt o.\nAnswer: 12*o**3 + 108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**4\/4 - 20*x**3\/3 + 39*x**2\/2 - 20*x - 12. Calculate the remainder when j(18) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3236.427ug?\nAnswer: 3236427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12996\/8949)\/114*((-4)\/(-2))\/(-2)\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2872 and -19\/718.\nAnswer: 2872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 3*k**2 + 31*k - 9. Let m be 4\/21*(-14)\/6 - 938\/(-126). Give a(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.303 + -2.013. Let z = 0.29 - b. What is the second biggest value in 1, -4, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 3 = 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201616306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*s**3 - 21*s**3 - 19*s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -50.\nAnswer: -50.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1772.71 + -1772. Is 0 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 11*s**2 - 126*s + 127. What is r(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41463144.\nAnswer: 2, 3, 139, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 564 - 305. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 550.7295 + -552.0295007. Let y = c - -1.3. What is y rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 367 - 351. Let s(g) = g**3 - 12*g**2 - 50*g + 46. What is the remainder when s(y) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdnbmzd. Give prob of sequence zb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(-4)\/(-18)*36\/16*4.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + (sqrt(2057) + sqrt(2057) + -2 + 1*sqrt(2057))**2 + sqrt(2057) + -1 + sqrt(2057) + -2 + -5 + (sqrt(2057) + 0 - sqrt(2057)) + -2.\nAnswer: -99*sqrt(17) + 18507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42514\/19 + 63845549\/28652. Let b = 7\/377 + u. Find the common denominator of b and -155\/468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + f + 6. Let u be q(-6). Let m = 40 + u. Find the first derivative of -15*b**4 + 3*b**4 + 8*b**m - 16 wrt b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01878 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 358280 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(6\/(-27)) + 9. Let x(j) be the second derivative of -1\/6*j**3 + 1\/2*j**2 - 8*j + q. Give x(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 - l**2 + l**2 + (-1 + 1 + 2*l**2)*(0*l**2 + 0*l**2 - l**3) - 3 - l**4 + 2*l**2 - l**5 + l**4.\nAnswer: -5*l**5 + 2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2*8526867\nAnswer: -17053734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0071483774 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.8437 and -0.04883.\nAnswer: 0.236517871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12909)\/(-7282))\/((-1)\/22)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*t + 5*n, -5*n - 1 = 2*t - 4*t. Let o(q) = -q**3 - 2*q**2 + q + 4. Let k be o(t). Solve -3*u = k*r + 18, -3*u = r - 4*r + 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -182, -4, 13, 385 in ascending order.\nAnswer: -182, -4, -2, 13, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/13 (b) -77 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 1:31 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/((-307)\/(-29165))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5422 = -3951*q + 26186 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkyy when four letters picked without replacement from kyykkyyykkyyk.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194 - -172. Let b(f) = -f**3 + 8*f**2 - 5*f + 9. Let n be b(8). Let x = g - n. Calculate the greatest common divisor of x and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfhh when four letters picked without replacement from hffffhhhhhffhhhf.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.85987 millennia in centuries?\nAnswer: 68.5987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from {t: 3, c: 3, p: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -10*u - 2*u**4 - 14*u**4 + 3*u**2 + 20*u**3 - 5 - 4*u**4 + 12*u**2 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 110 = -4*x. What is the remainder when 82 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8\/k)\/k**(2\/9)*(k*k**7\/k)**(-5\/8) assuming k is positive.\nAnswer: k**(173\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - c - 2*c)*(2 - 6 + 2)*(0 - 2 + 1).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/12*6\/9. Solve -a + h = -0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - 43) + (-7 - -8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 221508566 divided by -4958\nAnswer: -44677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = c - 5*r, 0 = 2*c + 16*r - 21*r - 19 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 75*p + 7. Let m be w(5). Suppose 10*n - 8*n - 1146 = 0. Suppose 2*z + 2*o = m, 2*o + n = 3*z + o. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1503 - 900. Let d = 651 - 584. What is the greatest common factor of d and n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 11*t**2 - 9*t + 8. Suppose 5*z + 4*b - 3 + 1 = 0, -5*z + 2*b = -14. What are the prime factors of y(z)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 26*k + 158. Let u be t(-31). Suppose 3*s = -3*d + 4*s + 4, -2*d = 4*s + 16. Solve 6*b - 3*b - u = d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8843644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l - 1. Let i(s) = 6*s - 1. Let u(y) = -y**3 - 8*y**2 - 339*y - 2329. Let h be u(-7). Give h*i(w) + 6*m(w).\nAnswer: 6*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537 = -181*i - 660 + 111 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10178, 9752, 9326, 8900, 8474?\nAnswer: 8048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 20292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.7 + -34.7. Let y = -13.3 - -15. Let s = y + 1.3. Which is the biggest value? (a) h (b) -0.2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (733581\/(-9) - 0)\/(4 - 5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*x - 32*x**2 + x + 53*x**2 wrt x?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -11*q + 1\/12*q**4 + 0 - 2\/3*q**3 - 4*q**2. What is the smallest common multiple of d(-4) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 4951.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2. Let d(h) = -96*h**2 + 40*h - 80. Let l(p) = -p**2 + p - 2. Let i(b) = 2*d(b) - 80*l(b). Determine g(i(q)).\nAnswer: -12544*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -151.236361 rounded to 2 decimal places?\nAnswer: -151.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3 + 6 + 12 + c - 4. Let r be s(-5). Solve -r*y + 4*y = 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 1, i: 2, a: 3, y: 4, b: 3}. Give prob of picking 2 b.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*(-97120)\/(-2428)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - -9*190\/(-285).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2984344 take away 0.4?\nAnswer: 2984343.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x + 39 = 0. Let n = 5 + x. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -24. Suppose d*y = y - y. Solve 5*v - 20 = -y*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90eee (base 15) to base 5.\nAnswer: 104141444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -440, -121, 180, 457, 704?\n\"Answer: -f**3 - 3*f**2 + 335*f - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -3. Let f(q) be the second derivative of q**5\/20 - q**4\/3 - 5*q**3\/6 + 3*q**2\/2 + 5*q. What is the remainder when 8 is divided by f(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 4096.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -914 smaller than -939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -67, -147, -259, -403?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(34)\/(sqrt(2) + -1*sqrt(128)).\nAnswer: -sqrt(17)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 11*g. Let m(t) = t. Let j(z) = -2*m(z) - s(z). Suppose 1150*x - 1157*x = -7. Give j(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 676 = -260. Calculate the smallest common multiple of z and 18.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/3 + (24 - 17). Suppose -n = -5*r + 23. Solve 3*d = r*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -51 - 2\/35*x**5 + 0*x**2 + 0*x - 1\/28*x**4 + 1\/42*x**6 + 2\/21*x**3. Factor s(f).\nAnswer: f**2*(f - 2)*(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375568?\nAnswer: 2, 23473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -3\/7, -16 in descending order.\nAnswer: 3, -3\/7, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 157428490 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/3882 - 91381\/597828. What is the common denominator of z and -103\/154?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14011*i - 12770*i. Factor 2\/3*t + 1\/3*t**4 + 5\/3*t**2 + i + 4\/3*t**3.\nAnswer: t*(t + 1)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 34843064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**2 + 4*q**2 + 0*q**2)*(1 + 6 - 10) - 3*q**2 + 3*q**2 + 4*q**2 - 19 + 19 + q**2 as b*q + m*q**2 + y and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*y)*(-1523 - 2190 + 3109).\nAnswer: -1208*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3\/6 + 245*l**2\/3 + 488*l\/3 = 0.\nAnswer: -488, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -289, -297, -311, -331, -357, -389?\n\"Answer: -3*m**2 + m - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = p - 4*p. Let u be (-1)\/(p\/(10 - 0)). Let h be (u\/2)\/((-4)\/8). Solve -4*x = -h*l + 21, -x + 2*l - 7 = 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -13.37?\nAnswer: -13.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*p - 56*p + 2*p**2 + 0*p**2 - 52*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*w + 82384 + 54501. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/264)\/((-15)\/6)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25\/4 + 23\/4. Let w = -2.7 - -3.28. Let z = w - 1.38. What is the smallest value in 0.4, v, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6568 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -592*u - 4. Let a(d) = 11*d - 1. Let h(m) = 6*a(m) - b(m). Let v(x) = -3*x. Calculate h(v(k)).\nAnswer: -1974*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 397*o**3\/6 - 1951*o. Let y(h) = -2*h. What is i(y(d))?\nAnswer: -794*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j + 4*c - 63, -2*j + 104 = -3*c. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 25252*j**2 + 40978092*j + 3522908844.\nAnswer: 4*(j + 91)*(j + 3111)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -c - 8. Suppose -84 = -4*n - d, -42 = -2*n - c*d - 0*d. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.017 (b) 2 (c) 0.5 (d) 0 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 39, 59, 81, 111, 155, 219?\n\"Answer: g**3 - 5*g**2 + 28*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 4*j = -2*z - 30, 0 = -2*z - 2*j - 6. Suppose 0 = -4*d - z*d. Put -5, 5, d in increasing order.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-76)\/(-12) + -1)*-3 - -5. Let v be c - -14 - (3\/(-3) + -25). Let u = -37 + 66. Is v != u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519 = -88*v - 449 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 less than 736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -71?\nAnswer: 12\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-324 + 503 - 364)*(3*o + 2*o - 4*o)*(3*o**2 + 2*o**2 - o**2).\nAnswer: -740*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w**2 + 13*w - 3. Let k be c(10). Let f = 1186 - k. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, p: 4}. What is prob of sequence pplp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*o**2 - 321*a*o - 56053456*a + 3*o**2 - 2*o wrt o.\nAnswer: -4*a*o - 321*a + 6*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 1, g: 1}. Give prob of sequence yg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-6))\/5*3\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -212.7 + 213.7. Suppose 13*r = 8*r + 35. Let m be (3\/(-42))\/((-1)\/4). Which is the second smallest value? (a) j (b) 0 (c) m (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*x + 212*x + 2*x**3 - 80*x - 67*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -1\/9, -1\/4, 2161633?\nAnswer: 2161633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.53 - 1.47. Which is the closest to g? (a) 1\/28 (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 16) to base 10\nAnswer: -339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/(-8))\/((-24)\/(-1696)) and -9\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4 = i - 0, -3*i - 12 = -5*n. Suppose -7*g + 11 + 17 = n. Calculate the remainder when g is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66927744 divided by -2624\nAnswer: 25506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 14*k**2 - 4*k - 22. Give i(5).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**5 + 459*l**4 - l**3 - 4*l**2 - 221*l + 1 wrt l?\nAnswer: 60*l**2 + 11016*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 377, 3, -1, -66.\nAnswer: -66, -1, 3, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4.6, 465, -6\/5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103624 - -3653624. Round v to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.577561587 + -4?\nAnswer: -3.422438413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*n**2 + 56747540*n + 7401855 = 0.\nAnswer: -3\/23, 493457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from lttljlljjjlntslljnln.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 2, 3, -730, -11.\nAnswer: -730, -11, -5, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, y: 6}. What is prob of picking 1 n and 1 y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 - (0 - (7 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, -4, -3, 3, -1144 in decreasing order.\nAnswer: 104, 3, -3, -4, -1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y - 1. Let c be h(-2). Solve 10 - c = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12367*w + 12549*w + 364 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -39. Which is the biggest value? (a) -1\/4 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*l - 5*s, 7*l - 255*s = -258*s - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, a: 5, j: 6, k: 2, h: 3}. What is prob of sequence addh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -72.5. Let w = 3.1 - 3. Put g, w, 1 in descending order.\nAnswer: 1, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**9*b)\/b)\/b)**(2\/29)\/(b**(-2))**41 assuming b is positive.\nAnswer: b**(2360\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -99 and -681.\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.173 - 727.173. Let x = v + 727.56. Round x to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4*40\/(-90))\/(10*24\/90).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*r + 54, h - 54 = -h - 5*r. Suppose 9*a - 2*v - 44 = 6*a, 5*v + 47 = 3*a. What is the remainder when h is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 10.88, -1.8, -2\/17, 7?\nAnswer: 10.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 78940 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1054474 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 601241 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -529*c - 476 wrt c?\nAnswer: -529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - 1023?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((536\/21)\/2)\/(-6). Let l be (5230\/1485)\/(-7 + (-224)\/(-24)). Let s = f - l. Calculate the common denominator of 91\/2 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 26. Let b(d) = 31*d + 5 + d**2 + x*d**2 - 25*d. Let y be b(-6). Put -5, -16, y in ascending order.\nAnswer: -16, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 80?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -153*b + 158*b - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(1859\/(-13))*2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48375 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3735, 7030, 10325, 13620, 16915?\n\"Answer: 3295*x + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 290755*a + 918996 wrt a.\nAnswer: 290755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -1. Suppose v = w*v - 9. Suppose 10 - 37 = -v*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**6\/3 + 3*z**5\/4 + 5*z**4\/4 - 5*z**3\/3 + 20*z. Factor b(t).\nAnswer: -5*t*(t - 2)*(t + 1)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -325 - -1626\/5. Sort -0.5, -0.046, u in decreasing order.\nAnswer: u, -0.046, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-1 + 2 + -4). Sort -3, k, -4 in decreasing order.\nAnswer: k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17636*h - 81273448 + 81273448.\nAnswer: -17636*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19617 + 19616.937872. Round h to 4 dps.\nAnswer: -0.0621","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-56) + (-665253)\/(-756). What is the greatest common factor of 605 and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1090 + 1089.96. What is the smallest value in -2\/3, 4, s, 2\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5135, 5141, 5147?\nAnswer: 5153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 8*l - 7*l - 3, 2*l - y = 16. Suppose -3*i = -q - 7*i - l, i = 4*q - 15. Solve -q*x + 1 = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25972659?\nAnswer: 3, 227, 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-18)\/(-9) + 3 + 1 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 307137 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*((-10)\/(-4) + 0). Calculate the lowest common multiple of 3 and 25*(-2 + (-24)\/o).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 497 - 479. Let s(f) = 37*f - 12. Calculate the remainder when s(2) is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21\/4 + -55\/12. Solve 2\/3*m**4 - y*m**3 + 0 + 2\/3*m - 2\/3*m**2 = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.124 - 0.124. Which is the nearest to 0.1? (a) k (b) 1\/2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a41 (base 13) to base 4.\nAnswer: -2210203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -14*u - 2. Let r(d) be the third derivative of -31*d**5\/60 + d**4\/24 - 1060*d**2 - 3*d. Determine v(r(z)).\nAnswer: 434*z**2 - 14*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*w - 2. What is the smallest common multiple of (14\/(-6)*-3)\/w and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/7)\/((120\/(-16))\/(-15)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7446 and 2091?\nAnswer: 305286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(-350)*(-5)\/6*6. Which is the nearest to n? (a) -1 (b) -1\/25 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**3 - 3644*q**2 - 2*q - 3268.\nAnswer: 12*q - 7288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 849 + 824 = 0. Let n(t) = 4*t. Let m(k) = 28*k - 3. Let r(a) = s*n(a) - m(a). Give r(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 5. Solve 0 = -g*h - 4*r - 4, -h - 1 - 7 = -r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74424094*a**3 + 1088*a + 53582 wrt a?\nAnswer: 446544564*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294 by 2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-44))\/(6\/4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 164, -9455 in ascending order.\nAnswer: -9455, -5, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 15. Let f = x + 22. Let c be (140\/(-12))\/5 + f. What is the nearest to -0.2 in 3\/5, 3, c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 4. Let p be b(4). Let i(l) = -l**3 + l**2 - 2*l + 250. What are the prime factors of i(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2239 divided by 119\nAnswer: -2239\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1 - 3) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -108.2 (c) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by (6 - 2) + 2 + 15\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 divided by -8?\nAnswer: -73\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(120)\/(sqrt(6) - ((sqrt(384) - ((sqrt(384)*-1 - sqrt(384) - sqrt(384)) + sqrt(384))) + sqrt(384))))**2)*4.\nAnswer: -11452\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 247, -143, -604, 2, -5 in decreasing order.\nAnswer: 247, 2, -5, -143, -604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/23 + 8*b**2\/23 + 38*b\/23 + 28\/23.\nAnswer: -2*(b - 7)*(b + 1)*(b + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 16548\/(-20) - 2\/5. Suppose 57*g = 49*g + d. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o + 2*o + 9 + 4*o. Let r be f(10). Let t = r + 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 393665192 to the nearest integer?\nAnswer: 19841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*c = 26, -4*w + 59 = -2*c + 5*c. Calculate the highest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/49, -3, 2\/3, -207, -1 in descending order.\nAnswer: 2\/3, 18\/49, -1, -3, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 26*g**3 - 13*g**2 + 13. Let a(f) = -9*f**3 + 4*f**2 - 4. Suppose -17 = 3*l - 5*y, -5*l = -4*y + 11 + 13. What is l*u(r) - 13*a(r)?\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 1 = -161. Calculate the remainder when 718 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.633? (a) 3\/4 (b) -8 (c) -0.4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 - 70 + w**3 + 119 - 9*w**3 - 49.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -573.804 - -574. Let h = -0.5162 + b. Round h to two dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 384*r + 12*r**3 + 2*r**4 - 12*r**3 + 13*r**2 - 409*r to the form m*r**4 + i*r**2 + h*r**3 + j + u*r and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 3. Let y be h(-6). Suppose 0 = -y*z + 20 - 11. Solve -4*b - 5 = -z*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57553?\nAnswer: 67, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*i - 5*o + 14, 4*i + o - 78 = 0. Let c be 72\/i - 2\/(-5). Let y = 59 - 59. Put y, c, 5 in decreasing order.\nAnswer: 5, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j - 110. Let d be u(-23). Suppose 2 = d*w - 83. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v*v*(v\/(v\/v**(-1\/2)))\/v*v)\/v)\/(v**3\/v))\/(v*v\/v**(-1))**(-32))**9)**(-1\/7) assuming v is positive.\nAnswer: v**(-243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 89 + 28 - 212 + 70*t + 24. Give x(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227968698 - 227968698 + 0*r + r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 13*d - 11. What is x(-12)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26593*x**6 - 3*x**4 + 6590*x**2 - 2*x.\nAnswer: -3191160*x**3 - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-4 - 2 - (3 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x*x**(-2)))\/x)**(-29)\/(x*x*x\/x**2)**(-38))\/(((x*(x\/(x**(-1\/5)*x)*x)\/x)\/x**5)\/(x**(-1\/4))**(-13)) assuming x is positive.\nAnswer: x**(-259\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + 5*c + 73. Let y(a) = 3*a**2 - 11*a - 146. Let s(d) = -5*j(d) - 3*y(d). Let l(k) be the first derivative of s(k). Give l(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**2 - 2. Let b(m) be the second derivative of m**4\/6 + 2*m. What is b(o(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7*y + 0 + 4\/7*y**2 + 2\/7*y**3 = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001519 to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 150505?\nAnswer: -150453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 13 = -5*t + 7*q, t - 5*q = -13. Let a = 17 + -7. Calculate the smallest common multiple of a and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 170463460 = 3*d + i, -d + 34092692 = -2*i. Suppose 4*l + 5292692 = d. What is l rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*t**3 + 0)*(4*t + 2*t + 4*t) + t**4 - 2*t**4 + 2*t**4)*(8*t - 3*t + 4*t).\nAnswer: -171*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/576 and 139\/384.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 82 = 20*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2, -5, -200, -249 in ascending order.\nAnswer: -249, -200, -13, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**5\/20 - 11*g**4\/8 + 12*g**3 + 289*g**2. Factor k(s).\nAnswer: 3*(s - 8)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*q = -3009, -3*o - o + 2*q - 2994 = 0. Let p be o*(159\/(-9) + 3). What is p rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2550\/13 + -196. Let i = 58829.8 + -58830. Suppose 11 = 5*f - 2*x, -3*x + x + 10 = 2*f. What is the closest to 0 in i, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4885 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -28*k**3 + 15*k**2 + 246*k + 9. Let m(q) = -37*q**3 + 14*q**2 + 247*q + 12. Let b(h) = 4*f(h) - 3*m(h). Find p such that b(p) = 0.\nAnswer: -9, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p + 163. Let h be c(23). Let j be 7073\/2475 + (-2)\/h. Which is bigger: 4 or j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1573) + 3 - sqrt(1573)) - (-1*(sqrt(1573) - 2*sqrt(1573)))**2 - (-5 + (-5 + sqrt(208)*1)*-1).\nAnswer: -1588 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -171\/2 or -2\/391?\nAnswer: -171\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/15 + 1142*p**2. Let h(k) = -191*k. Give h(c(q)).\nAnswer: -764*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*o - 28 + 189*o + 17*o + 337*o.\nAnswer: 398*o - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(504)\/(sqrt(108)*2))\/(sqrt(726) - (sqrt(726) + sqrt(726) + (6*-1*sqrt(726) - sqrt(726)) + sqrt(726) + sqrt(726))) + 4 + 0.\nAnswer: sqrt(7)\/264 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16745280 and 448?\nAnswer: 117216960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 13*a - 30 = 0. Solve 0 = -2*h + 4*g + 24, -h + 2*g = -a*g - 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1005811\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (33\/2)\/((-304)\/48) and -67\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101110001 (base 2) to base 4\nAnswer: 31301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/4)\/((-4)\/8). Suppose 0 = 4*h + 7*r - n*r - 5, -h + 3*r + 5 = 0. Is h*(3 - 195\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 3. Suppose -5*u = z*f - 9 - 56, -35 = -f - 5*u. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148712219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.39 - -12.39. Let n = -0.1 + 0.1. Let x = n - 0.2. Sort j, -2\/13, x in ascending order.\nAnswer: j, x, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 617.3 and 3.\nAnswer: 1851.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d - 7 - 34 = -244. Solve -37*r = -36*r - d for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from {p: 3, m: 4, g: 1, j: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*(0 + 2). Let t(i) = 0 - 4*i + 2 + 4 - 8. Let j be t(f). Solve -2*g + 3 = -p + j*g, 4*g = 3*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/2*182 + -3?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 17 + 2 = -3*o, l + 17 = 5*o. Let r(x) = x**3 + x**2 + 3*x + 1. Let i be r(o). What is the highest common divisor of i and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*b - 93, 0*m - 2*m + 55 = -b. Let d = m - 15. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0.6. Let q(g) = g**3 + g**2 + g - 1. Let u be q(0). Sort v, 2\/5, u.\nAnswer: u, v, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*d - 80 = 0, u = -0*u - 4*d + 40. Let c = 0 - -9. Suppose 5*t - c = 2*t. Calculate the greatest common factor of t and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 17. Let x(k) = -k**2 + 8*k - 3. Let o be x(6). Let h be f(o). Let s = h - -12. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 0)**2 + -5 - (2 + sqrt(700))) + -2.\nAnswer: -10*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, 260, 35, 0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2625700?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 + 11 - 86804\/(-4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63630 and 27138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 17 = 3*j. Let s(o) be the third derivative of -1\/24*o**4 + 0 + 1\/112*o**8 - 1\/15*o**j - 1\/60*o**6 + 0*o**3 - o**2 + 2\/105*o**7 + 0*o. Factor s(r).\nAnswer: r*(r - 1)*(r + 1)**2*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 1:10 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5236 and 110.\nAnswer: 26180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*y = -74*y + 24. Suppose 3*m - 48 = -3*n, -3*n + 4*m = 2*n - 35. Calculate the least common multiple of y and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*b - 87*b + 14*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - 2) + (-1 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 3, -136 in ascending order.\nAnswer: -136, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 5*z**2\/2 - z + 4. Let g be q(1). Let x be 10*-1*g\/(-8). Put 0, x, -1 in ascending order.\nAnswer: -1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.6 + 0.6. Let x(s) = s**2 + 7*s + 6. Suppose -3*h - 11 = 7. Let d be x(h). Which is the nearest to 2\/5? (a) j (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - f = 12, -2*h - f - 18 = h. Find the common denominator of ((-3)\/(-6))\/((-22)\/196) and ((-766)\/60)\/(-1) + h\/9.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)\/((y*y**(-3))\/y))\/(y**(2\/3)*y)**(-4\/17) assuming y is positive.\nAnswer: y**(967\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1539773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*i + 19, -4*i + 5*i + q = 2. Calculate the lowest common multiple of 6 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/176486 and -83\/164.\nAnswer: 14471852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**14\/m)**(-15)*m**(-2\/27)\/((m\/(m**(-8)\/m*m))\/m) assuming m is positive.\nAnswer: m**(-5483\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*l - 3 - 93*l + 318*l)*(10 + 2 - 9) as u + j*l and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (15 - (-1 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.08 and -8.4690815?\nAnswer: 13.5490815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 23\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.11817 >= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 1134?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -33.57. Let f = 109.93 + -110. Let c = t + f. What is the third biggest value in c, -0.5, 4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -23*f**3 + 2*f**2 + 30*f + 2. What are the prime factors of k(-5)?\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-3) + 147\/14*2\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1449393929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13443 - -4052215?\nAnswer: 4110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.5. Let d be (-18)\/14 - (-6)\/21. Let p be (d + -5)*(-7)\/189. Which is the third smallest value? (a) -5 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iei when three letters picked without replacement from {e: 2, x: 4, y: 1, n: 3, i: 8, t: 2}?\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -20\/21*r**2 + 12\/7 - 40\/21*r**3 + 2*r - 16\/21*r**4 - 2\/21*r**5 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2473 and 314.674?\nAnswer: -778188.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 10*l**3 - 8*l - 78. Let p(n) = -28*n**3 + 22*n + 232. Determine -4*p(f) - 11*r(f).\nAnswer: 2*f**3 - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*(2*sqrt(432) + 0).\nAnswer: -288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) -3 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-3 + -22)) + 6\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080*h - 596*h = 655*h - 12654 for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 2, -0.252, 0.65 in decreasing order.\nAnswer: 2, 0.65, -0.02, -0.252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/766 and (-5)\/8*4828\/510.\nAnswer: 4596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 18*w = -144*w + 388710. Is 50 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9276 and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.8 and 96367?\nAnswer: 558928.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**4 + 17*j**2 - 8*j**2 + 9*j**4 wrt j.\nAnswer: 336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583 = 19*k - 215. What is the highest common factor of k and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 260 + -255. Let f(s) = 2*s**2 + 5*s - 3. Let w(d) be the second derivative of d**4\/12 + d**3\/2 - d**2 - 2*d. Calculate r*f(k) - 8*w(k).\nAnswer: 2*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + q - q)*(-9 + q + 30 + 0).\nAnswer: -q**4 - 21*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(-2 - 2 + 3)*(-13*i - 20*i + 9*i + (2 - 2 + 1)*(0*i + 0*i + 2*i)) in the form o*i + v and give o.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 8*z + 18. Let c(t) = 7*t**3 + 2*t**2 + 3*t. Let n(k) = -13*k**3 - 3*k**2 - 6*k. Let v(u) = z*n(u) + 11*c(u). Determine r, given that v(r) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 2 - 1) + 4. Suppose 14 = r*i - 1. Calculate the remainder when 5 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12562 = -82*l + 886. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4022.5 - 4014.5. Let r(q) = -2*q - 10. Let y be r(-5). What is the third smallest value in 14, f, y?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 - -220. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -4 - -3) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -326*4\/24*-3. Suppose 4*y - c = -a, 0 = -4*a + 3*y + 235 + 379. What are the prime factors of a?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + ((-2 - -2) + 1 - (-13 - -14)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 - 136. Let a be (-210)\/d - (-6)\/33. What is the second derivative of 8*f**4 - 17*f + a*f**4 + 14*f wrt f?\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**4\/12 + b**2. Let t(p) be the second derivative of 465 - 6*p**3 - 2*p - 372 + 3*p. Determine t(m(g)).\nAnswer: 72*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5586965 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93\/(-62))\/((-11)\/(-44))*2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.6 + -8.6. Which is the biggest value? (a) y (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*b - 6, -848*s - 6 = 3*b - 850*s. Solve b = -530*g + 515*g + 105 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.069 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m. Differentiate m - 2 - 3*z**2 - 2 wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 3. Suppose -5*i + 108 = -7. Suppose 6*t - 2*o + 35 = 3*t, o = -3*t - i. Let r = 6 + t. Determine q(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -2\/17 (c) 4 (d) -2340 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -3566, 26, -2, 1, 5 in decreasing order.\nAnswer: 26, 5, 4, 2, 1, -2, -3566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6368\/(-24)*(24\/(-3) - -2). Suppose -n + 592 = -20*v. Solve -v*q = -45*q + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 160 - 1116\/7. Which is the biggest value? (a) -0.5 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 40 = -2*o - o, n = 5. Suppose a + 4*v + 24 = 7, 0 = o*a - 3*v - 7. Let f = a + 5. Solve -f = 3*c - c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*n - 0*n + 5, -2*j + 18 = 4*n. Suppose -t + j = -1. Solve y = t + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 225030.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 5 = z. Suppose 15 = -4*x + 7*x. Suppose -10 = -x*k, -2*p - 5*k = -21 + 11. Put p, z, 2 in decreasing order.\nAnswer: 2, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 4*k + 3*k)*(-442 + 442 - 120*k**2 + 947*k**2) to the form x*k**2 + c*k**3 + m*k + w and give c.\nAnswer: -1654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1305 + -1304.9. Which is the closest to 0.4? (a) -4 (b) -3\/2 (c) -3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230 divided by -2\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 27*s - 124. What is m(-31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 4154*c - 37548.\nAnswer: 2*(c - 2086)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 8*s**2 + 5*s - 10. Let x be w(-7). Let h(c) be the first derivative of -1 + 1\/2*c**x + 2*c**3 + 0*c + 2*c**2. Factor h(f).\nAnswer: 2*f*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33515?\nAnswer: 5, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*t + 18 = t, -3*t + 12 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(-4*(-14)\/(-672)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.013817 + 0.00695. What is s rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10098 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: What is ((-2)\/14)\/(-2*2\/(-4))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/14*-3*(-13)\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5544 times 0.07\nAnswer: 388.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y = 0. What is the first derivative of y*f + 2*f - 2*f + 1 + f**4 wrt f?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 4:19 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**5\/4 + o**3\/6 - 3*o. What is the second derivative of r(p) wrt p?\nAnswer: 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 10 = 3*t, -3*t - 5*v = -0*t + 2. Let n = t - -7. Let j(z) = n - 3*z + 2*z - 2. Give j(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*b - 867*b = -126 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 100, -32, -164, -296?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 2*f. Suppose -3*g = 3*i - 4 - 5, -3*g = 4*i - 8. Let l be 3\/(-2)*(-11)\/((-264)\/16). Let d(m) = -1. Give i*d(c) + l*z(c).\nAnswer: c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2015 (base 10) to base 8.\nAnswer: -3737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/(-20)*-2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(170)*1)\/sqrt(10).\nAnswer: -3*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8046 and 320499?\nAnswer: 1922994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 14, -998?\nAnswer: -998","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**3\/6 - p**2\/2 - 25*p. Let i(n) = -7*n. Suppose 3*s + 2 = 5. Let q(o) = s*i(o) - 5*y(o). Give q(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -60 and 1557214.\nAnswer: -93432840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adb when three letters picked without replacement from jodjbmad.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 3. Suppose 12*o - 20 = 8*o. Does 11 divide q(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v\/(v\/(v\/(v*v**(-2\/3))))))**(-3\/14)\/(v\/((v**(-1)*v)\/v)*((v**(-4)*v)\/v)\/v*v*v*v))**3 assuming v is positive.\nAnswer: v**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m. Let v(s) = 22*s - 14. Let a(w) = -10*w + 6. Let c(t) = 14*a(t) + 6*v(t). Give c(d(p)).\nAnswer: 56*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -512.0055 - -0.0055. Let r = -360 - q. Let b = r - 152.0063. Round b to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62462166163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*o - 21, 12 = 3*j - o - 26. Suppose j + 3 = m. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from wyjw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3730922 and 1316796?\nAnswer: 22385532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -18. Let q(v) = -30*v - 93. Let u be q(-3). Which is the biggest value? (a) -4 (b) u (c) f (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2. Suppose -46*s + 36*s = 116*s. Let h(b) be the second derivative of 13*b + 0*b**2 + 23\/12*b**4 + 0*b**3 + s. Calculate u(h(p)).\nAnswer: -529*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 11*y**2 - 127*y - 4. Let u be v(-18). Solve 3*m + 2*m = -p - 14, -5*p + 3*m = u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16595903*b**3 + 3743156*b + 2 wrt b?\nAnswer: -99575418*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303847935?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**5\/10 - y**4\/8 - y**3\/6 + 16*y**2. Let c(t) = 6*t**2 - 2*t. Give 3*c(j) - 2*g(j).\nAnswer: 6*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 6*z**2 + 8*z - 2. Let g be v(7). Suppose 2*c - g = 3*j, -2*j + 3 = 9. Let x(y) = -4*y - 2. List the prime factors of x(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/71 (b) 5 (c) -1\/2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.084 + -29.\nAnswer: -28.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -256 (c) -12\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 + 79. Suppose t - o = 3*h + 346, 5*t = -h + 1780. Let f = t + 362. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94 + 104 - 67)*((1 - 3 - 1)*(s + 3*s - 6*s) - s - 3 + 3).\nAnswer: 655*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000799787386 to five dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 177, -0.3, -15, -521 in ascending order.\nAnswer: -521, -15, -0.9, -0.3, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15999121 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**6\/15 - g**4\/6 + 4*g - 4. Let y(c) be the first derivative of l(c). Find the third derivative of y(i) wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 15*d**2 + 9. Let i be 1\/(-3*(-3)\/99). Is v(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 3*z**2 + 2. Suppose -4*o + 34 = -7*o - 5*r, 5*o + 5*r = -60. Let t = o - -9. Does 9 divide a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 10*g**2 + 6*g + 9. What is r(9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**3 + 2*j - 70. Let z(q) = 15*q**3 + 7*q - 246. What is 14*d(w) - 4*z(w)?\nAnswer: 10*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2 = -2*s - 4, 0 = h + 3*s + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (60\/(-21))\/((-50)\/55825) and 3190.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3055185.\nAnswer: 3, 5, 7, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3.3. Let m = -1.8 - -1.6. Which is the third smallest value? (a) k (b) m (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 477 (base 9) to base 12\nAnswer: 28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, m: 7}. What is prob of sequence ggmg?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4854 times 31\nAnswer: 15.0474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 15340*g**2 - 3*g + 14. Is f(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7305 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 - 176 + 215 = 20*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89\/786 - -20533\/76635. Find the common denominator of 5\/702 and u.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 6*u**2 + u - 2. Let t be b(6). Solve 0 = 5*y - i - 21, 0 = -y + t*y - 2*i - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*g - 189*g + 123 = 0. What is the second biggest value in -0.4, 1, g, -66?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2 + 9*a - 9. Let u = 64 + -66. Let d(r) = -4*r**2 + 5*r - 5. Let o(l) = 7*l**2 - 9*l + 9. Let j(q) = 5*d(q) + 3*o(q). What is u*b(k) - 9*j(k)?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 2 e when four letters picked without replacement from {g: 6, e: 4, v: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*o = -400*o + 5*k + 65, 84*o + 4*k + 772 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbblbbo. What is prob of sequence lbbl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*p - 128 + 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -120384 divided by 342?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 16 = -2*k, v = -3*k + 7 - 10. Let i(j) = j**2 - 4*j + 2. Let a be i(3). Put 1, k, a in decreasing order.\nAnswer: 1, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 - 35 + u - 86.\nAnswer: u - 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -1 + -95 + (151 - 26)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186\/(-108) - (-18)\/12.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 50 + 49 - z. Let y(t) = 20*t - 24. Determine 24*o(m) - y(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -18*19\/(-11115)*-365?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 4. Let n = 9 - 7. Let t be v(n). Which is smaller: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 84 = -3*u, -r = 3*r + 4*u - 72. Suppose 5*x = 2*x - r. Let s = -6 - -5. Sort -0.2, s, x.\nAnswer: x, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 268356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -113 + -4?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2060234 is divided by 128764.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*o - 97*o + 109*o - 136*o - 1.\nAnswer: -293*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.1 - -2.9. Let f = -19 + 3. Let l = f + m. Which is the closest to 2\/5? (a) 2 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 4*o**2 - 2*o + 4. Let z be r(-5). Let h be 160\/6*36\/15. Let l = h + z. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + g + 6*g - 6*g)*(4 - 1 - 12) in the form v + k*g and give v.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2. Let k(b) = -2418*b**2. Determine k(n(y)).\nAnswer: -9672*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 14 = -2*x. Let b = x + -23. Calculate the remainder when 12 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*n**3 + 170*n - 170*n.\nAnswer: -119*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 172*s - 482. List the prime factors of b(25).\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9341052 a multiple of 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-108))\/((-20192)\/5679)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80212928?\nAnswer: 2, 1253327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*f**2 - 4*f + 0*f + f in the form t*f**2 + u*f + n and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 860, 1713, 2562, 3407?\n\"Answer: -2*q**2 + 859*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 450*m + 139 = f - 0*f - 445*m, 0 = 2*f + 4*m - 112 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002830 rounded to the nearest 10000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**5 - 5*t**5 - 3*t**5 + (34*t**3 - 17*t**5 - 34*t**3)*(-3 - 5 + 0).\nAnswer: 131*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millisecond in microseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764417 is divided by 2302?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -158020 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52478 by 1865.\nAnswer: 52478\/1865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13207*d**2*i**2*w - 11*d**2 - 29*d*i**2 + i**2 + 1 wrt w?\nAnswer: 13207*d**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/6)\/((-3)\/(-6132)). Let v be 4\/(-18) + k\/18. Let a = -1 - v. Calculate the highest common divisor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 times 0.37?\nAnswer: -0.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85\/434 or 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 238\/204*(-43056)\/364\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a factor of 408397539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 13*k. Let i(b) = 191330*b - 4. Give t(i(q)).\nAnswer: 2487290*q - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 268572936?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 2) + 4 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vuv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-3)*(-294)\/56. What is the highest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -19. Let c be 59 + 1 - f\/7. Calculate the greatest common factor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1. Let k(u) = -8*u**2 + 5*u + 8. Let m(x) = -21*x**2 + 14*x + 23. Let t(o) = 8*k(o) - 3*m(o). Determine -2*t(l) - 10*w(l).\nAnswer: 2*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fozffzyzzfd. Give prob of picking 1 y, 1 f, and 1 d.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -590 + 590.0000161. Round i to seven dps.\nAnswer: 0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54500 and 15760?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37386 divided by -2077.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125578847?\nAnswer: 17, 19, 388789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from {x: 3, k: 1, s: 1, m: 2, o: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3304*h + 26439. Determine w(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2250*-310640\nAnswer: -698940000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 548, 2279, 5156, 9149, 14228, 20363, 27524, 35681?\n\"Answer: -5*c**3 + 603*c**2 - 43*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1139\/1175308?\nAnswer: -1139\/1175308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**5\/20 + s**4\/4 - 3*s**2 - 2. Let h = 1 - 14. Let z = h - 0. Let i(m) = 7*m**2 + 13*m. Calculate z*n(c) + 6*i(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3346*i**4 - 9152?\nAnswer: 13384*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5 = -2*x, 4*d + 25 = -3*x + 17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (26 + -17) - -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + 5*o + 0*o)*(-6*o**2 - 9*o**3 - 4*o**3 + 12*o**3) - o**2 + o**2 - o**4 as j*o + k + y*o**3 + l*o**2 + q*o**4 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edx when three letters picked without replacement from {x: 4, e: 2, d: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 31000 = -15*g - 13*g. Calculate the least common multiple of 275 and g.\nAnswer: 17050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5. Let q = n - 0. Let x = q + 7. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2191.1 and -0.0183.\nAnswer: -40.09713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*r - 10*r. Let u(a) = 2*a. Let q be u(2). Let l(x) = -q + 3 - 3*x + 4*x - 3. Calculate l(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 14641680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:46 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 504473117 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 12:39 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/21*75\/25.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 13*h - 15. Calculate k(-14).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 7:57 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o - 2. Let y be z(4). Suppose 0*k - y = -2*k. Suppose j + 0*j + k = -5*l, -3*l = 2*j + 16. Let t(n) = n**2 + 4*n - 7. Give t(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3240 and 1903824.\nAnswer: 9519120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820 is divided by 254?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 52920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvcvcvvvvoqvcvvqv. What is prob of picking 1 c and 1 o?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 331, 2\/503, -0.5, -0.3, 130?\nAnswer: 2\/503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 + 4*a - 4. Let b(y) = 9*y**3 - 21*y + 21. What is 4*b(v) + 21*l(v)?\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmck when four letters picked without replacement from zzzcccmkcczczcczzz.\nAnswer: 2\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 6*k + 114. Let v be l(14). Solve 2*q - 2 - v = -2*y, -5*y = 4*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((t - t + t)*(-43 - 95 + 34) + (-6*t - 2 + 2)*(-3 + 4 - 3))*(1 + 2 + 1) in the form m + n*t and give n.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9.6*199\nAnswer: -1910.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y + 26610902 = -10763261 + 11652586. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(4*a + 6*a - 2*a)*(1 - 2 + 0 + (3 - 5 + 0)*(-3 + 6 - 1)) to l + b*a and give b.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 604233 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 3, -55, -602 in descending order.\nAnswer: 3, -39, -55, -602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -28297 (base 11) in base 5?\nAnswer: -2242103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 2*m = -20*b + 511, 2*b - 334 = -3*m. What is the remainder when b is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*f - 11*f**4 - 12*f + 0*f**2 - f**4 + 0*f**2 + f - f - 2*f**4 + (3 - 3 + f)*(3 - f**3 - 3) + f**3 + f**4 - f**3.\nAnswer: -14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 219, 466, 459, -84, -1445, -3906, -7749?\n\"Answer: -47*p**3 + 155*p**2 + 111*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7021514.55 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 18*o - 6. Let q(b) = 20*b + 5. Calculate -6*n(k) - 7*q(k).\nAnswer: -6*k**2 - 32*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + h**2 - h - 1. Let x(r) = -10*r + 89*r**2 + 2*r - 3*r**3 + 33*r**2 - 118*r**2 - 4. Determine -4*t(p) + x(p).\nAnswer: -7*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144.8 + -142.8. Let n = 4 - 2. Let k = n + -5. Which is the nearest to -1? (a) -2 (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6080 divided by -608.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 8*i - 50. Let s be h(12). Suppose 9 = -4*y + 1. Let c be 1*((-2)\/y - -2). Sort s, -5, c in increasing order.\nAnswer: -5, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) - (sqrt(13) - (2 + -2*sqrt(13)))).\nAnswer: -10 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 424 divided by -2257\nAnswer: -424\/2257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.4051363663 and 0.3?\nAnswer: 5.1051363663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-3\/4)*q\/(q**(-1\/2)*q) assuming q is positive.\nAnswer: q**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5 - 5 - 123*d + 114*d. Let x(n) = -3*n**2. Calculate t(x(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15410 and 536.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6681099.\nAnswer: 3, 2227033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 29 + -25 - (-1 - 0 - -13) - -68?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 40057\/3, -3 in ascending order.\nAnswer: -3, 1\/9, 40057\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -663 + 664.4. Let k = 212.9 - 213. Is j <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 4*i**2 + 4*i - 3. What is the smallest common multiple of 2 and a(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 14 = -2*n, 3 = -f - 4*n + 3*n. Let r be (-2)\/(3\/(-2) + 1). Let z = f + r. Solve 0 = -5*s - z*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17633621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8693, -12545, -16397, -20249?\nAnswer: -24101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 765 = 5*w - 4*s, -4*w = -s - 0*s - 601. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-315)\/42*(-2)\/10. Let k = -0.4 + 3.4. Sort -1, m, k in decreasing order.\nAnswer: k, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4126 - 14995?\nAnswer: -10869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2 + 2 + 2 - 7. Let p(r) = r**3 - 2*r**2 - 6. Give p(a) - 4*s(a).\nAnswer: a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064033813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.9, -1, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*q + 3 - 3 - 198*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.6227 years in decades?\nAnswer: 29.56227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/108 and -85\/180612?\nAnswer: 541836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37892439 and 351.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -7*j + 3*j + 3*j - 53*w, 3*j = 8*w - 10*w - 49 + 10 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (5 - 3) + -4 + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r + 2640 = 61*r. Suppose -8*l + r = -64. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -16. Let v(m) = 6*m**2 - u - 3*m - 11*m + 42*m**2 + m. Is v(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let z(v) = -5 - 4*v - 2*v + 0*v**2 + 20*v**2 - 5*v. Let h(g) = -4*u(g) + z(g). Solve h(b) = 0 for b.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/414086 and 43\/76279?\nAnswer: 2898602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 5*a + 7, -v - 3*a - 2 = 3. Suppose 0 = x - 1, -s - x = v - 3. Let d(p) = p**3 + 4*p**2 + 3*p + 1. What is d(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434930?\nAnswer: 2, 5, 23, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 4*m + 5*k + 17, 4*m - 10 = -2*k. Suppose 4*a + 10408 = -3*w - w, -2*a + m*w = 5194. What is a rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -80. Let f = -20 - c. Let w be -2 - 2 - 19*-1. Solve 5*p + 2 = f*d, -3*p + d = 4*d - w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2916)*1 - sqrt(2916))*-2*-4)\/(-2*-5*sqrt(432)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -200*g**5 + g - 448*g**5 + g + (-2 - 1 + 5)*(3*g**5 - 4*g**5 + 3*g**5) + 2*g**5 + g**2 - g**2 + 0*g**3 + 9*g**5 + 0*g**3.\nAnswer: -633*g**5 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108630 is divided by 503?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.3 (b) 6 (c) 0.3 (d) 14\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214704 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 80 = -2*m, 0*m - 2*m = -2*r - 18. Let o(j) = -2*j**2 - 28*j - 4. What is o(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -275 + 250.5. Let b = h - -24.1. Suppose -3*m + 15 = -3*i, m + 4*i + 9 + 11 = 0. Put 7, b, m in decreasing order.\nAnswer: 7, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 34 - (-5 - (-6 + -9))) + (9 - 5).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -17 - (1 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/237, -722, -5, 3 in descending order.\nAnswer: 3, 1\/237, -5, -722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**4\/3 + 347869*r**3\/3 - 10084461408*r**2 + 10084345452*r = 0.\nAnswer: 0, 1, 173934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6697 and 15023.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - 3*a**2 + a**3 + ((-2*a - a + 5*a)*(2 + 2 - 2) + 4*a - a - 5*a)*(-3*a**2 + 4*a**2 - 6*a**2).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n - 31*n + 71*n - 22*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 + 2*x**2 - x**3 - 2 + 0*x**3 + x**2 to the form z + u*x + i*x**2 + s*x**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2287 or -0.543?\nAnswer: -0.543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7, -3\/8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 74*u**3 + 463*u**2 - 14*u - 30. Let l(o) = 16*o**3 + 93*o**2 - 3*o - 6. Determine -14*l(t) + 3*z(t).\nAnswer: -2*t**3 + 87*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 159131672 to the power of 1\/2, to the nearest integer?\nAnswer: 12615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 638 + 490 + 289*x - 6423*x**2 + 75*x + 6419*x**2.\nAnswer: -4*(x - 94)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 36 = -o + 5*o, -4*t - 2*o + 78 = 0. Let s be 0 - 26\/(-8) - 5\/t. Suppose -3 = h - s. Solve h*q + 3*q = -3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11123033123 (base 4) to base 10\nAnswer: -1422299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 4*j + 2*j + j**2.\nAnswer: 2*j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 2. Let u(r) be the second derivative of -r**3\/6 - r**2\/2 - 79*r. Determine 3*d(s) - 6*u(s).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9572287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 17*i**2 + 31*i + 242. Let n be y(-16). Solve -9*g = -7*g + n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*g + 4 = 0, -134*a = -136*a - 3*g - 10 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1157947 is divided by 16309?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 10*p + 5. Let x(k) be the second derivative of -5*k**3\/6 - k**2 + 351*k. Give -6*o(s) - 15*x(s).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138582 and 76990.\nAnswer: 692910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-91632)\/(-15318) - (5 + 1). Let t be (-45)\/36 - (-1)\/4. Is s > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15876 - 985?\nAnswer: 14891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7538264, 15076534, 22614804, 30153074, 37691344?\n\"Answer: 7538270*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g. Let x be -1*1\/(-1)*1. Let q be 8\/(1 - x\/(-1)). Solve q = -g*d - d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/7))**(-44) assuming g is positive.\nAnswer: g**(-220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -42*i**2 - 13*i - 4. Let n(w) = 42*w**2 + 11*w + 3. Give 4*n(u) + 3*p(u).\nAnswer: 42*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6468392*o**3*w**2 - 5486*o**2 + 412*w**2 wrt o.\nAnswer: 38810352*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 42?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 15*p**2 - 9*p. Let h(g) = -7*g**2 + 4*g. Suppose 11 + 11 = 4*w + 2*f, 0 = w - 5*f + 11. Calculate w*t(l) + 9*h(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 755.6 - 755.6000026072. Round i to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.014 + -1.594. Let v = m + 0.08. Let k = v - -6.8. Round k to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 + 0*o**2 - 1 - 6*o**3 + 0*o**2 to s*o**2 + v*o + g + k*o**3 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7009134*t**2. Let b(h) = 3*h**2 - 15. Calculate b(d(x)).\nAnswer: 147383878289868*x**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/(-3772)*-23*3*6\/(-9)*-28?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 471636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 5*b + 11. Let o be i(-4). Suppose 29 = o*n - 20. Solve -n*t = -2*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - (0 + -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, y: 1, h: 1, z: 1, v: 1}. Give prob of sequence zv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m + 39 - 3. Let b(i) = 27*i**2 - 8*i + 16. Let v be b(m). Is 235 equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234444 is divided by 993?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10500696 and 34.\nAnswer: 10500696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.54511917511 take away -4?\nAnswer: 6.54511917511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1823002 is divided by 1822980.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20\/31 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 2:23 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, w: 5, u: 4}. What is prob of sequence eeeu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495*s + 5 + 1195*s - 5 - 556*s - 383*s.\nAnswer: -239*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-5))\/(2\/(-2)). Let p be (-1 + 28\/24)*-3. Which is the nearest to -0.1? (a) p (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7024036.\nAnswer: 2, 1756009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31104 = 34*f + 30866 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1098*g**3 + 2*g**2 - 2*g + 1. Suppose -8 = -4*o, 5*d - 30 = d + o. Suppose 24 = -a + 5*i, -a = -3*a + 2*i - d. Is f(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -6. Find the second derivative of 0*z - z - 4*z**3 + 8*z**t wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1286, 1776, 2594, 3740?\nAnswer: 5214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.088 - -1.088. What is the closest to u in 6, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.565 + 0.065. Put -0.6, -0.1, 0.5, y in descending order.\nAnswer: 0.5, -0.1, y, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22.4 and -0.177262419568?\nAnswer: 22.222737580432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310, -635, -956, -1273?\nAnswer: -1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 + 8915374*u - 3*u**2 - 8915376*u - 33*u**4 + 2 + 10*u**4 in the form x*u**2 + b + p*u + c*u**4 + g*u**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 = -5*w + 2*m, 61 + 34 = w - m. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 3*w**2 + 8*w - 14. Let t be d(3). Solve -t*v + 15 = -5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 6:46 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24189 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5925*h + 29616. Give w(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196*m**3 + 1798020*m**2 + 1027392*m + 146768.\nAnswer: 4*(m + 9173)*(7*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-2)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 1\/3, 1, 2\/9, -17, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -390 - -492. Let l(y) = r*y + 108*y - 196*y. Let i(q) = 5*q**2. Give i(l(s)).\nAnswer: 980*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1404*q**2. Let n(i) = -6*i - 88. Give n(s(x)).\nAnswer: 8424*x**2 - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Let n(o) = -o**3 - 5*o**2 - 4*o - 2. Let c be n(-5). Suppose g = 3*q + q - 5*f - 6, -5*q = -f - c. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 538, 532, 526, 520?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51984)\/(-32490))\/((-8)\/65).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213938, -427875, -641812, -855749?\nAnswer: -1069686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3191609 is divided by 1910?\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -380, -758, -1134, -1508, -1880, -2250, -2618?\nAnswer: -2984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 7260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*sqrt(95)*-1)\/(sqrt(80)*2).\nAnswer: -1 + 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*i - 67 - 37, 4*i = -j + 30. Let o be -2 + (591\/(-5))\/(115\/(-575)). Calculate the highest common factor of j and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.85 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -149.\nAnswer: -7\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 - 9 = -17*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2798, 19, 5.\nAnswer: -2798, 2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300*p + 1094*p - 304*p - 304*p - 188*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 250492 take away -905.8?\nAnswer: 251397.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/147, -369, -2?\nAnswer: -369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 3:59 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.34 + 0.2. Let h = -4.1492 - -0.0092. Let l = h - u. What is the nearest to 0 in l, -0.4, 0.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 58 = 4*k + 208, -p - 134 = 2*k. Let v be 41*(-9 + 5 - -3). Let j = v - k. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-13)\/91*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/189 - (1 + 9\/(-7)) and -113\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 - 6 - 2*w**4 + 3*w**4 + (1 + 1 - 1)*(-3*w**4 - 2*w**4 + 3*w**4).\nAnswer: -w**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n + 234973 - 593737 = 0. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y. Let g(t) = 16*t - 3. Let f(v) = 1. Let o(s) = 3*f(s) + g(s). Determine u(o(n)).\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*s = -2*y + 9, -3*y + 3*s = -33. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 230?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103 - -11. Let w = -55 - y. Suppose -w + 109 = 2*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138 is divided by 369.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017256 to four dps.\nAnswer: -0.0173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 5, 100, 0, -4, -41.\nAnswer: -41, -6, -4, -2, 0, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4, 2 = t - 3*w + 12. Let r = 7 + -1. Let y = 5 - r. Is t < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -1848*c + 2000*c + 467, 27 = 2*c - 3*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 - a + 1. Let m be y(-2). Let p = -4 - m. Suppose 2*o - p*n = -0*n - 23, 2*o + 3*n = 17. What is the greatest common divisor of 7 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -231 + 233. Suppose 5 = -3*t - 2*g - 17, z*g = t - 6. Put t, 4, 0 in descending order.\nAnswer: 4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 - 3. Let b(v) = 22*v + 68. Let u be b(-3). Let t(k) = 3*k**2 + 0*k**2 + 0*k**2 + 2. Let g = 298 - 295. Determine g*t(f) + u*z(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 660344167 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2 + 12. Suppose y*j - 5 = x + 3, 0 = 4*x - 3*j - 36. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from fcwfffwfwfw.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20276571967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 2*t - 150 = 0. Let p = 36 - t. Suppose 50 = p*h - 6*h. What is the least common multiple of 11 and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 6) + 17 - 0 - 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -123 - 5?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dae32 - 1?\nAnswer: -dae33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let g(z) = 190 - 190 - 130*z**2. Calculate g(y(d)).\nAnswer: -130*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 729.72244 rounded to the nearest ten?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74392 and 408?\nAnswer: 223176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 3. Let h(x) = x + 14. What is the remainder when 9 is divided by h(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7 + 43*u + 52*u - 92*u. Let j be d(0). Solve 2*y + 0*f + 3*f = j, 3*f - 22 = -5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46079*f**3 + 538*f**2 - 10475*f**3 - 280*f**2 - 258*f**2.\nAnswer: 35604*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -17927*o - 290. Is k(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 + -285869802295?\nAnswer: -285869802295.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2475 + 2410 = -128*u - 3435 for u.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -313.78 + 271.26. What is d rounded to one dp?\nAnswer: -42.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/7 and 39900506 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -1, -2, 20, -0.1, 0.0239?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1562, 20, -187 in decreasing order.\nAnswer: 1562, 20, -2, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2610 + 7240. Is 84 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110011 (base 2) in base 14?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + g = -110, -2*x - 3*g - 41 = 19. Let l = 43 + x. Suppose l = -5*w - 4. Sort -1, 4, w.\nAnswer: w, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((17\/68)\/(130\/104))\/((-7)\/(-15))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 152*o**2 - 13*o + 30. Is u(2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390400 and 610?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -20, 2*k + 6*l - 98 = l. Suppose -9 = -h + 5*f, 3*f = 3*h + 4*f - k. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 31044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16380556 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 638016 (base 9) in base 2?\nAnswer: 1011100101110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 41*p - 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-3\/8)\/b)\/((b*b**(-6)\/b*b)\/b))**(-20)*(((b*b\/b**9)\/b)\/(b**(-4)\/b))**20 assuming b is positive.\nAnswer: b**(-345\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.73 in -0.0977, 2, 5, -27?\nAnswer: -0.0977","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 625860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8494 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**7\/840 + 7*a**6\/360 - a**5\/20 + a**4\/8 + 32*a**3\/3 - 18. Let o(q) be the third derivative of x(q). What is o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4491 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + (sqrt(700) - 2*sqrt(700)))**2 - (sqrt(700) + 0 + -2)**2) + (sqrt(700)*2*6)**2*5*3)*-6.\nAnswer: -9072072 - 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3774874609 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 208439647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(1\/2)*(l\/(l*l**(-1)))**(2\/7))**(-2\/65) assuming l is positive.\nAnswer: l**(-11\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(0 + (-2)\/(-4)). Let f = 41 + -42. What is the nearest to f in -2, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 672 + -715.3. Let b = g - -53.07. Let t = b + -9.4. Round t to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.056 - -31.944. Let w = -32.0004 + y. What is w rounded to 5 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 646\/245 + 8\/49. Let u be 2*(-5)\/((-25)\/5). Let u*t**3 - 4\/5 + 18\/5*t**2 - h*t**4 - 2*t = 0. Calculate t.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71644417 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4 - 6*s - 4*s - 3*s. Suppose 12 + 3 = 5*q. Let c(w) = -8*w + 43. Let r(m) = m - 4. Let n(k) = 2*c(k) + 22*r(k). Give q*h(o) + 7*n(o).\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 1:34 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, k: 4}. Give prob of sequence kj.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2. Let u(z) be the third derivative of z**6\/360 - 2*z**3\/3 + 5*z**2. Let o(s) be the first derivative of u(s). Give o(j(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 16. Let o(z) = 31*z - 2. Let a(c) = 24*c - 3. Let i(t) = -5*a(t) + 4*o(t). What is i(l)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -44, -79, -128, -191, -268, -359?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8003 by -3.\nAnswer: -8003\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.9 or -34573?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15268\/3 - (220\/(-30))\/11. Round p to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -3\/7, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -938 - -822. Calculate the remainder when (-195)\/(-3)*d\/(-145) is divided by (-2)\/(-4) + 53\/2.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and 3162082?\nAnswer: -2845873.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**3 - 4*c - 4. Suppose 32*g - 4*g = -28. Let f = 5 + -9. Let m(x) = -x**3 + x + 1. What is f*m(o) + g*y(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -0*l + l - 1831*z + 1826*z + 2 + 26, 2*z - 12 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 + 5*d + 5. Let a be n(-1). Put -1, -3, a, 4 in decreasing order.\nAnswer: 4, -1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (4*sqrt(448)*1)**2) + 4 + 5.\nAnswer: -7159 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1173 and 606533.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1358 and -111\/1358?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from sssiyyzsyts.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 5:47 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/2*12\/9. Suppose o = h, h - 5*h = 4*z - 36. Let c be (-16)\/56 - (-2)\/z. Sort 1, 5, c in ascending order.\nAnswer: c, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d - 42*d = -12. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 24133850?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223159 is divided by 1707?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 119?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + o = -2, -5*l - 2*o = -0*l + 19. Let j be ((-64)\/12 - l)*(-2)\/2. Factor 0*v - 1\/3*v**3 - j*v**2 + 0.\nAnswer: -v**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**4\/12 - 17*p**3\/6 - 13*p**2. Let x be d(-9). Solve -x + 13 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)*s)\/s*s*(s\/(s**(4\/7)*s*s))\/s)\/(s**(2\/9)*s\/((s**(-1)*s)\/s)) assuming s is positive.\nAnswer: s**(-365\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2736) + -2)*5)**2.\nAnswer: -1200*sqrt(19) + 68500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37979048573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 47*t - 40*t. Let n(m) = -1. Let o(a) = 2*a**3 - 9*a**2 + 5*a + 2. Let v be o(3). Let y(p) = 4*p + 5. Give t*y(j) + v*n(j).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 3. Let z = c + 10. Solve t = 1, 3*r - 6*r + z*t - 20 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6 - 114 = -h, 3*h + 136 = 4*l. Suppose 0 = l*w - 6*w - 150. Suppose 2*v = -3*v + 15. Calculate the least common multiple of v and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0 + 0)*(2*m**2 - 2*m**2 + 2*m**2) - 1 + 1 + m**3 + 7 - 5 + 9 + 2*m**3 + (2*m + 0 + 0)*(m**2 + 2*m**2 - 5*m**2).\nAnswer: 3*m**3 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 69900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -1\/6*h**4 + 0*h + 0 + h**3 + 7*h**2. What is the first derivative of o(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-656)\/(-1148))\/(2\/42)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s = -125*s + 280 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/3*(-1224)\/100. Let d = f - -82. Let i(w) = w + 3. Let x be i(-6). Which is the biggest value? (a) x (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 - -46) + (-6 - -8 - 8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25186 and 16268?\nAnswer: 4180876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3677855206 to the power of 1\/3, to the nearest integer?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49\/8 - -359\/56. What is the closest to 23 in -4, -0.3, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 4, -3, 3 in decreasing order.\nAnswer: 4, 3, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25902 - 25894. Solve o = -3*z + 5*m, 4*m - 8*m = -5*z - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48 - 47 - (-7)\/1. What is the tens digit of j\/((-64)\/(-3892))*(0 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (3 - -9)) + 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.4 (b) -24 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5*f - 140, -3*m = 2*f - 49 - 32. Let u be ((-7)\/(-5))\/(5\/m). Solve u*p = 2*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -231423343302?\nAnswer: -231423343312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103721 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29025671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1717418?\nAnswer: 2, 858709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69359, -138724, -208091, -277460, -346831?\nAnswer: -416204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b**3 + 6*b - 6*b)*(21*b**2 - 42*b**2 + 35*b**2 + 7).\nAnswer: -112*b**5 - 56*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eiiviiiiiioivi. Give prob of sequence ivv.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0611 - -1.9389. Which is the closest to 0.2? (a) h (b) 5 (c) 103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1788 - 52 = 8*o. Calculate the highest common factor of o and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 3*i**5 - 2*i**3)*(21 - 5 + 12).\nAnswer: 84*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*w = -74*w - 4*h + 4, -w - 3*h = -4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/8, -0.153, 3, -1\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 3, j: 1, x: 4, i: 8}. What is prob of sequence iix?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2221359*s**2. Let x(h) = 37*h**2. Determine n(x(b)).\nAnswer: -3041040471*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*f**4 + 4*f**4 - 2*f**4 + (2*f**3 - 5*f**3 + 2*f**3)*(-5*f + 4*f + 2*f) + (-2*f**3 + f**3 + 0*f**3)*(-2 + 2 + 2*f).\nAnswer: -17*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97 (base 13) to base 6.\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1458825 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 3, 0.7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -13. Let b = t + 15. Calculate the highest common divisor of 22 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = -8*f + 4*r + 7*r - 44, 0 = 3*f - 17*r + 32 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3329 - 3314. Solve 0 = -24*f - x - 81 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*l - 233*l = -6. Suppose -5 = -3*i + 1. Let u = i - l. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o - 4. Suppose 3*t - 3 + 0 = 3*b, t - 5*b - 1 = 0. Calculate the remainder when u(-3) is divided by (168\/(-196))\/(t\/(-14)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 less than -12196?\nAnswer: -12197.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -453? (a) 3.3 (b) 2\/15 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*a = -21. Suppose 0*k + a = k. Let m be (-4)\/2 - (-6)\/(k + 0). Solve m*y - 5 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -42 - 33. Differentiate -v*j - 43*j + 24*j - 30 with respect to j.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -13*m - 52. Let h be j(-4). Suppose h = 34*x - 10*x - 384. Calculate the highest common divisor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -253*d**4\/12 - 100*d**2 - 173*d. Find the first derivative of u(y) wrt y.\nAnswer: -506*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + y**2 + y + 2. Let d be i(6). Let n = -378 - d. What is n rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 11.6 (c) 3 (d) 1.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 219402 and 6426.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -256*i - 17939. What is k(-70)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.00310919 at most as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11706 and 41207071.\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(252) + -1 + sqrt(252) + 5 - (sqrt(252) + 0 + 3 + sqrt(252))) + -1 + 1*sqrt(252) + 3))**2.\nAnswer: 36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -574 by 14.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31435770 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (4 + 3 + -9 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3) + 64\/6. Let n = -8 + a. What is the smallest common multiple of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*o**2 + 0*o + 2*o - 2*o.\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 2, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8966 + -8903. Calculate the smallest common multiple of 2 and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16786.0064168 + -16786. Round g to 5 decimal places.\nAnswer: 0.00642","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 8*n**2 + 3. Let h be y(6). What is the tens digit of 10\/(-30)*h*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5376, 6082, 6788, 7494?\n\"Answer: 706*b + 4670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13, 19 in ascending order.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 26 = u. What are the prime factors of 874\/u*1 - (-34 - -37)?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 585*j - 1491. Give w(2).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 91 - 99. What is the second derivative of -21*w**4 - 24*w**p + 6*w**2 + 2*w**3 - 30*w - 6*w**2 wrt w?\nAnswer: -540*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from guuuuujkjgjjk.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*y - 2. Let w = -12 + 12.3. What is the closest to 1\/3 in y, w, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 14 = 5*r, -4*r + 16 = -0*r + 4*m. Suppose -l + 112 = -2*i + 6*i, -r*i - 4*l = -70. Does 13 divide 0\/(0 + 3) + i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 16. Let v be w(5). Suppose -4*u - 278 = -v*u. Differentiate -2 - 148*z**2 + 7 + u*z**2 + 2 with respect to z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 624.14 - 7.04. Let j = x - 592. Let q = 25.09999889 - j. Round q to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48538972*d*s**4 - d*s**3 + 33*d*s + 3*d + 21*s - 9543 wrt s?\nAnswer: -582467664*d*s**2 - 6*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 3 (b) 30 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3640, 0, 5, 2\/517?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/15 and 32\/171?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in 0.18, 5, 0, -0.0339, 0.4?\nAnswer: -0.0339","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 142*p**3 + 2 - 4 - 144*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvgy when four letters picked without replacement from jjjgjgjykjygkvjdjvyj.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1802025 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 t, and 1 u when four letters picked without replacement from dptudyqqp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-39) + (-6)\/(-39)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 27*s + 14. Let w(g) = 2*g**2 - 28*g + 10. Let f(q) = 5*d(q) - 6*w(q). Let u be f(5). Do 7\/39 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(18)*-4 + sqrt(2)*1*-1).\nAnswer: -26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -5, -0.19, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 0*x - x**5 + (3*x**3 - 6*x**3 + x**3)*(-1 + 1 + x**2).\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5701098855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15099*b = -15776*b - 11509 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157832*f - 22*f**3 + 3 + 157832*f.\nAnswer: -22*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3336 + 3335.5. Which is the fourth smallest value? (a) -2\/13 (b) y (c) -1 (d) 51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14b187 (base 14) to base 4.\nAnswer: 2300101003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000735 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + ((-11 - -11 - -15) + -46 - (-6 - -18)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 87 = -13. Calculate the remainder when ((-328)\/40 - -8)*-565 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2965480 and 105\/748.\nAnswer: 32620280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c. Let p(k) be the third derivative of 4*k**2 + 0*k**3 + 0*k + 6 - 3\/8*k**4. Calculate z(p(l)).\nAnswer: 90*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5621773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5*2)\/(4\/(-2)). Let b = -3 - k. Is 5\/7 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h + 2 + 3*h + 4*h - 2 - 2. Let f(b) = -27 - 13*b + 45*b + 7*b. Give -2*f(j) + 27*t(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 94.681\nAnswer: -56.8086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -150*a + 100. Let m(y) = 450*y - 299. Let j(f) = -2*m(f) - 7*q(f). What are the prime factors of j(12)?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3664, 14721, 33150, 58951?\nAnswer: 92124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by 80.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 - 7*c**3 - 750*c + 1496*c - 746*c.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -51. Let r(d) = -26*d - o*d + 38*d + 25. Let v(f) = -3*f**2 - 2*f**2 + 3*f**2. Calculate r(v(w)).\nAnswer: -6*w**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/47, -102, 0 in increasing order.\nAnswer: -102, 0, 1\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-126)*3)\/(-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20, 18, 2, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 6*j**3 - 131*j**2 + 0*j + 2*j + 120*j**2 in the form z*j + n*j**2 + b*j**3 + d and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.05, -2, 3 in descending order.\nAnswer: 3, -2, -2.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2, -0.1, -19.2532?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4\/6 + 41333*m**3\/6 - 275671*m**2\/2 + 1943659*m\/6 + 1406002\/3 = 0.\nAnswer: -41353, -1, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-33)*72\/(-180).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983602417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8))**48 assuming w is positive.\nAnswer: w**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 1 + 4 + 13 - 9.\nAnswer: -r + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**23)*w))\/w*w**(-3\/11) assuming w is positive.\nAnswer: w**(-267\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 379\/24 + -47\/3. What is the nearest to -0.3 in -5, -1\/6, f?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2482*x - 13*o = -2479*x - 7, 9*x = 4*o - 10 - 141 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((5 - -9) + -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neel when four letters picked without replacement from {k: 6, n: 1, l: 2, e: 3, o: 1}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 - 1 = 0, -3*c = -3*h + 33. Suppose -3*g - u = -104, 0 = 7*g - h*g + 3*u + 62. What is the remainder when g is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 1 - 1)*(4 - 2 - 1) + 1 + 0 - 3)*(-178*b + 46*b**2 + 178*b) in the form j*b + x*b**2 + v and give x.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(1\/6)*x**(-1)\/x)\/(x*x**0)**(20\/9))\/((x*x*(x\/(x**(-1)\/x*x)*x)\/x*x)**(-2\/73)\/(x\/x**(7\/3)*x**(-1\/2)*x*x)) assuming x is positive.\nAnswer: x**(-2027\/657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 15)*(-50)\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 8. What is the second derivative of 3*i**3 + i**3 - 2*i**3 + o*i**3 - 5*i wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6)*(-3)\/2. Let b be 3\/12 - 22\/(-8). Sort -2, v, b in descending order.\nAnswer: b, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*d**3 - 250*d**3 - 550*d**3.\nAnswer: -605*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/((-39)\/117 + (-6)\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 1401*v + 1402.\nAnswer: -(v - 1402)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 47, 104, 215, 398, 671?\nAnswer: 1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -28. Is (158\/(-6))\/(t\/(-9)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1172*l - 336416. Determine t(-287).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -2262425\nAnswer: -452485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 12*p + 11. Determine w(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1\/((-24)\/102).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + d**2. Let s be r(1). Put -3, -4, s in decreasing order.\nAnswer: s, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/19)*i)\/i**(2\/15)*i**(-9)*i**13)**(-13\/2) assuming i is positive.\nAnswer: i**(-8918\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1764 is divided by 331?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59322023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.4 and 896891.\nAnswer: 8430775.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.4 - 7. Let g = 0.3225 - 0.0225. Which is the fourth smallest value? (a) -1 (b) x (c) 3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8113 is divided by 4145.\nAnswer: 3968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-36))\/(6\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -97, -283, -5, -2 in decreasing order.\nAnswer: 1, -2, -4, -5, -97, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.784896 to 0 decimal places.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + 13. Suppose 2*j - 4*j = -m. What is the remainder when j is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**6\/180 + h**5\/20 + h**4\/6 + 5*h**3\/6 - 4*h. Let v(i) be the second derivative of t(i). Determine m, given that v(m) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + j**2 - j + 1. Let k be 8*-16*7\/(-448). Let b(y) = -24*y**3 + 2*y**2 - 2*y + 2. Give k*w(s) - b(s).\nAnswer: 26*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 4 + 10 + 3*c. Let k be (0 - (4 - 0))*1. Give g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -6805*f**3\/3 + 1597*f - 335. What is the first derivative of y(q) wrt q?\nAnswer: -13610*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 2. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*3\/36*6\/(-12). Which is the smallest value? (a) 2\/5 (b) -0.09 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8778.\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*k = 116*k - 2*a + 30, 3*a = -4*k + 64. Solve s = 1, -48*q + 4*s - k = -43*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t**2 + 0*t + 0*t)*(-2 + 2 + 2 + 3 + 2 - 4 + (0 + 0 + 3)*(-1 - 1 + 3) + 3 + 5 - 3) to q*t**2 + n*t + z and give q.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169\/6 + -1799\/66. What is the common denominator of (74\/(-6))\/(4\/(-3)) and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737625.\nAnswer: 3, 5, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - g + 1. Let a = -11 - -15. Suppose -9*y = -a*y - 5. Let r(s) = -4*s**2 - 5*s + 7. What is y*r(h) - 5*j(h)?\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-14)\/d)*d)**33 assuming d is positive.\nAnswer: d**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5969 - -5968.991604. Round a to four dps.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9883*p**3 - 9934*p**3 - 2 + 1.\nAnswer: -51*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70697 + 70702. Suppose 2*q + 11 = x, -q = 4*x + 2 - 1. Let l = -2 - q. Solve 0 = l*d + c + k, 2*d + 2*c = -0 - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146544 divided by 258?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -46 - (5 - -2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 72559993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/45 - (-1)\/5.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 12) to base 2.\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 417 divided by -3\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-2)\/28)\/(144\/168))\/(-46) and -29\/15?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 63?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2d (base 14) to base 5\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2736) + -1) - sqrt(2736).\nAnswer: -36*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7663080 divided by 26888?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -22*w**2 + 176*w + 5. Let l be y(8). Suppose 2*h - 1 = u, 4*h - h + 5 = -l*u. Which is smaller: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*g + 104*g - 1441 - 908 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = -19*n - 149 - 196 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + 3*(-546)\/117?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7275393 a multiple of 577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 0*b + 9 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.083 + -0.583. Sort -2, u, -2.01, 3\/5 in ascending order.\nAnswer: -2.01, -2, u, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -9, 2\/31 in decreasing order.\nAnswer: 42, 2\/31, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*k - 79 - 69, 2*t = -5*k + 361. Calculate the common denominator of 23\/9 + 16\/(-72) and (k\/9*1)\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(40)\/sqrt(4)))\/(-2*sqrt(75)).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34986 - 232986. What is b rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/s*s**(-6))**(-1\/74)*((s*s\/s**(-6))\/s**(6\/7))**(3\/4) assuming s is positive.\nAnswer: s**(1391\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**3 - 7*q**2 + 13*q + 7. Let x(l) = 2 + 4*l**2 - 2*l**2 + 4*l - 4*l**2 - l**3. Let u be 1\/2*-2 + -1. Give u*f(k) + 7*x(k).\nAnswer: -k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/12 - (-4)\/(-6))\/((-3)\/51). Sort 0, 5, 3, n.\nAnswer: n, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-20)\/75*126)\/(1\/(-20)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12800 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 8679073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022.2683 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1160304738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84425 by -5.\nAnswer: -16885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 33*n**2 + 265*n + 12. Let t be b(-8). Solve -6*v - 10 = -t*y - 4*v, 5*y - 18 = -3*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14592 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.08 (b) 0.2 (c) -2\/1257 (d) 2 (e) 1\/31 (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -215, 704, 2235, 4378?\n\"Answer: 306*q**2 + q - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1094.6 + -1007. Let r = m + -74.6. What is the smallest value in -0.1, 4, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a5b - -8909?\nAnswer: 9667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(11\/6)*j*(j\/((j\/(j**(-2\/33)\/j))\/j))\/j*(j\/(j*j*j**(4\/25)\/j)*j)**(-32\/3) assuming j is positive.\nAnswer: j**(-3403\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-1)\/(1\/(-2188)). Is 6\/9 + g\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154 - 18. Let b = -137 + o. Which is bigger: 1\/66 or b?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-275)\/(-484) + 1\/(55\/10). Find g such that -z*g**3 - 3*g - 3*g**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 - 105*u**2 + 325*u - 19. Give x(49).\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w + 10. Suppose 3*q + q = -2*t - 24, -24 = 4*q + t. Let r(o) = -o + 1. Let v(u) = q*r(u) + c(u). What is the first derivative of v(p) wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 3, i: 5}. What is prob of picking 1 f and 1 i?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/5175 and 82\/464175.\nAnswer: 10676025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*q - 1109. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**4\/2 + 17*u**3 + 9*u**2\/2 - 10*u + 101. What are the prime factors of j(-25)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -10. Suppose -4*z = -z - 3, -5*u + z + 79 = 0. What is the highest common divisor of h and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-12)*(-20)\/75. What is the nearest to -4\/7 in -1\/6, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*r - 45, 3*s = -2*r + 2134. Is s a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a = 6*k - 11*k + 178 + 149 - 355, -2*a = 5*k + 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/2 in -5, 1, -1\/361?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d**3 + 151*d**2 + 211*d - 351. Let b(v) = 3*v**3 - 38*v**2 - 53*v + 88. Let h(s) = -9*b(s) - 2*n(s). Let h(c) = 0. What is c?\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -386 + 391. Suppose n*u - 2432 = -2*r, -23*r + 1461 = 3*u - 20*r. Is 54 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17, 36, 67, 110, 165?\n\"Answer: 6*r**2 + r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -r + 16. Calculate the greatest common divisor of r and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/8 + 5928*l**2 - 94845*l\/8 + 23711\/4 = 0. Calculate l.\nAnswer: 1, 47422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7256)\/(-4) - (2 + -6). Suppose q - r = -2*q. Suppose -h + 57 = -4*i - 135, 3*h - q = -3*i. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 157 = -5*o, -24 - 113 = -4*o + 3*u. Suppose 0 = 2*g - 34 + o. Which is the nearest to 1? (a) -1 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 302, 306, 312, 320, 330, 342?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**3 + 14*n - 7. Let c(m) = -6*m**3 - 44*m - 5. Let o(l) = -5*l**3 - 35*l - 4. Let x(a) = 4*c(a) - 5*o(a). Determine u(f) + 14*x(f).\nAnswer: 7*f**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1811*h**3 - 1432*h**2. Let v(m) = 905*m**3 - 722*m**2. Let r(c) = 6*d(c) - 15*v(c). Find the third derivative of r(a) wrt a.\nAnswer: -16254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 541*w - 8638. Let l be u(16). Solve 5*h - n + l = 0, 10*h - 5*n - 50 = 13*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-20)*20\/(-4). Suppose 7*h = -2*s + 3*h + 96, 0 = z*h - 15. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40\/11 - 34\/33. Find the common denominator of f and 53\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 435 and 1215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 5*h = 1, 2*s - 5*h = -4*h - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - 3*c**2 - 2*c - 5. Suppose 3 = 14*h - 95. Calculate the lowest common multiple of h and v(4).\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/15 + 18085456*s\/15 - 40885464840992\/15 = 0. What is s?\nAnswer: 4521364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/3 - 458911*r**2 - 9637180*r\/3 = 0. What is r?\nAnswer: -7, 0, 1376740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.23 and -13.\nAnswer: 2.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 13) to base 4.\nAnswer: 3103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1146 = 4*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650*n + 321*n + 325*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.23 + 0.17. Let p = -16.6 - f. Let g = 14 + p. What is the closest to 0 in 4\/5, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 0.2, 2\/19, -0.2, 2\/3 in increasing order.\nAnswer: -44, -0.2, 2\/19, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 5*c**4\/12 - 5*c**3\/6 - 9*c**2. Let m be s(1). Solve 2*d - m*p + 5 = 3, 0 = -4*d + 4*p + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4\/3 - 14624*t**3\/3 + 1019006*t**2\/3 + 3159356*t\/3 + 708576 = 0. What is t?\nAnswer: -7381, -2, -1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302395046 a multiple of 3212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a micrometer in nanometers?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*u**2 + 2\/3*u**3 + 0 - 860\/3*u = 0. Calculate u.\nAnswer: -86, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 divided by -4299.\nAnswer: -67\/4299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2351855366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18382)\/(-11716) - 5\/((-435)\/(-6)))*(-2)\/7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-9 - -19) - 0) + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2808*c*f**3 - 908*c*f**2 + c*f - f**2 wrt f?\nAnswer: -16848*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1\/(-2)*-26. Let b = k + -5. Suppose 4*l = 73*h - 69*h + 32, l + 5*h = -22. Solve n = -5*c - b, l*n - n + 3*c + 7 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494*b - 960*b - 399*b**2 + 395*b**2 + 466*b.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -739.1 less than -0.2?\nAnswer: 738.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -551*d*g*h - 4*d*g - g*h + 783 wrt d.\nAnswer: -551*g*h - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 378315435*v**2*w**3 + 85769*v*w**2 - 128*v*w + 2*w**3 wrt v.\nAnswer: 756630870*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -78*w**3 + 1. Calculate the remainder when c(-1) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -356 + 379 + -35 + 0 - 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 11, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-418)\/57 - -8)\/((-231)\/9).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2108, 6, -0.03, 2, 4\/7 in descending order.\nAnswer: 2108, 6, 2, 4\/7, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/11*2\/(-6). Let r = 1 - -2. Which is the biggest value? (a) o (b) -0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398*y = -402*y + 8136. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0\/5)\/(-2))\/(-1). Suppose 0 = 3*t - 5*v - 3, 3*v - 7 = 4*t - n*t. Let r(m) = 249*m**2 + 2*m + 15. Is r(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * -9549.1\nAnswer: -20053.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 10:45 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -21*m**3 - 4*m**2 - 4*m - 3. Let f be i(-2). Let y = f - 108. Calculate the remainder when y is divided by 25 + 0*4\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.014881mm to micrometers.\nAnswer: 6014.881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30509907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85347\/(-31610)*25\/36?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 42*t - 27. Let o be u(14). Let h be o\/(-323) - (-4)\/(-34). Let -2\/5*j**h + 2\/5*j + 0 + 2\/5*j**2 - 2\/5*j**4 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-2 + 3) - 3. Suppose 5*f - 2*t - 8 = 0, -3*t = 2*f + t - 8. Let s be f + 2\/((-6)\/15). Is s greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/8 - (-1 - 2). Find the second derivative of 4*z - 3*z**4 + a*z**4 + 3*z**4 + 4*z**5 wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = 4*b, -3 = -b + 4*b - 5*t. Let w(h) = -12*h. What are the prime factors of w(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - -134 - 1 - -1. Suppose a - 5*b - 561 = 0, -2*b + 1235 = 2*a + q. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**5\/60 - 17*d**4\/24 - d**3 - 3*d**2. Let f be 5 + (-5 - 16 - 1). Let i be x(f). Let q(y) = 2*y + 8. What is q(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1095 = -8*f - 1071 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*n - 55*n + 13*n)*(-2*n + n + 4*n).\nAnswer: -75*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/20462991 and 25\/156882931.\nAnswer: 470648793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-10))\/((-5)\/225). Let f be ((-2)\/(-7))\/(j\/63). Let v = 994 + -997. What is the closest to -5 in f, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + k + 9. Let b(h) = -12180*h**2 - 6380*h - 57420. Let r(q) = -2*b(q) - 12760*n(q). Let o(m) = -7*m**2. What is r(o(y))?\nAnswer: -56840*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 292989 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 4 = 2*a + 2*i, a = 5*i - 4 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 40*y - 0 + 60 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 0*b**3 + 0 + 0*b**4 + 1\/60*b**5 + 0*b + 2*b**2. Let z(x) = 5*x. Give z(o(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 8*u - 6 = -6*u, -2*u - 14 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4781959 divided by -49\nAnswer: -97591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 125 = -b + 5*b, -52 = -2*b + 2*m. Suppose 2*k = -2*q + 5*q - 55, -q + b = 2*k. Solve 4*x - n = q, 18 = 3*x + x + 2*n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -34*m**2 - 48*m + 32. Let z(c) = -11*c**2 - 15*c + 10. Let l(f) = -5*a(f) + 16*z(f). Let o(i) = -30*i**2 - 1. Calculate l(o(x)).\nAnswer: -5400*x**4 - 360*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78604 + -39747. Suppose -15*h = -76*h + c. Does 29 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.63751848 to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 1. Let b(f) = 3*f**2 + 7*f. Let y(w) = b(w) + 4*z(w). What is the units digit of y(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) 1 (c) 2165\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98660088?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 28 = -5*y, -91813*y + 91810*y - 2*p = 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 920246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -259.297 to the nearest integer.\nAnswer: -259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - q + 81 = -j, -5*q = -j + 69. Suppose 4*f - 12 = 0, 2*p + 2*p - j = 3*f. What is the smallest common multiple of 1 - 1 - -1*20 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 - (-2 - (-9 + 6 + 0))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/24*9\/(-4). Solve 9*i - 5*i + 8 = 0, t*m + 13 = -2*i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -829.7312 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 9*o + 13 - 25)*(2*o - 2*o + 3*o) to c*o + d*o**2 + n and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*r - 6*r - 44. Suppose i + 0*s + 3*s = 129, -r*s = 4. What is the remainder when i is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11756 divided by -4.\nAnswer: -2939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (27 + -20) - (-9 - -1)) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 2. Let k = 3 + b. Let x = 2.07 - 0.07. What is the third biggest value in -1\/8, x, k?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68 - -37) + 28 + -1 + 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99\/2, -0.1, 4\/99, -3\/10.\nAnswer: -99\/2, -3\/10, -0.1, 4\/99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368 and 3358?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57134507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(187)*4*2*-6)\/(sqrt(121)\/sqrt(539) + sqrt(539) + (sqrt(539)*-2 - sqrt(539))).\nAnswer: 336*sqrt(17)\/97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -414 + 409. Put 3, 25, x, 2 in decreasing order.\nAnswer: 25, 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305974938?\nAnswer: 2, 3, 50995823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2837.\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*g + 2133 = 4*a, 10643 = 5*a + 4*g. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3\/6 - 3395*o**2 + 4610410*o - 6260936780\/3 = 0. What is o?\nAnswer: 1358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 118 (b) 829 (c) -2\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89544 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: What is the common denominator of 105 + -116 + (-251)\/(-27) and -127\/24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/8)*c**12*c assuming c is positive.\nAnswer: c**(103\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00263343916 to six dps.\nAnswer: -0.002633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 8:01 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 313.72 rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9900*k**2 + 405*k - 405. Let n(p) = -49*p**2 - 2*p + 2. Let z(b) = -2*c(b) - 405*n(b). Let u(g) = -2*g**2. Calculate z(u(q)).\nAnswer: 180*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-276)\/10*10\/(-4). Let z = -66 + r. Suppose z*l - 8*l = -2*j - 82, -60 = -4*l - 4*j. Calculate the highest common divisor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 381 + 2794. Is j 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 31\/72 and 143\/552?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p)**0*(p*p**(-3))\/(p**(-1\/7)*p) assuming p is positive.\nAnswer: p**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4688059913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b - 1746. Let v be r(-38). Is v at most as big as -1442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45 - 19 - 34) + -79 - -31\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6436356?\nAnswer: 2, 3, 647, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4*t - 5*t)*(-4 + 2*t + 4)*(-4*t + 0*t + 3*t)*(-2 - 1 + 1).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.178 rounded to one dp?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:01 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -713835*w**2 + 1427668*w + 4 = 0.\nAnswer: -2\/713835, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29435481 and 2673?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 5*y**2 - 7*y + 26. Let b be w(6). Solve -2*j + 1 = -4*j - u, -5*j + 2*u = -b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141687433 + 141687431.20000007. Let k = -0.17 + 1.97. Let y = k + g. What is y rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 + 2219*d**2 - 22402*d + 73. Give y(10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 174, 891, 2094, 3789, 5982?\n\"Answer: a**3 + 237*a**2 - a - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 5, -1, 1, 1.2, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -39336, -84, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -7. Let r = 2 - m. Suppose -3*x - 3*l - 9 = 0, 3*x - 4*l = l + 31. Solve r = -5*v + i + 11, 0 = v + 2*i + x*i + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*d + 11*d + 128. Solve d*k = k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 21. Calculate the remainder when 33 + (-3 - 2) + 3 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 - 50*c**2 + 241*c + 1080. Let t(q) = q**3 + 5*q**2 + 2*q + 1. Let i(h) = -3*t(h) - y(h). Determine x so that i(x) = 0.\nAnswer: -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2313?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -65. Suppose -5*i = 2*d - 31, 3*d - d - y = -3*i. What is the least common multiple of 4 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85974573*u**4 + 85827612 with respect to u.\nAnswer: -343898292*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjfz when four letters picked without replacement from kjjkzfkkjjkjjjjj.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 199552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, t: 2, b: 2, y: 5}. Give prob of picking 1 y and 1 b.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2804*a**2. Let f(q) = 1505*q. What is t(f(y))?\nAnswer: -6351130100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -5 + 30\/6 - -1. Solve -4*y - 11 = -h*m + 7, 0 = -3*m - y + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.3145469.\nAnswer: 0.6290938","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 11*n - 8*n + 44, 4*n + 82 = 2*l. Solve 10*k + 25 = l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*f + 448, 5*f - 2*c + 383 = 1510. Let a = 236 - f. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - t - 15. Let q(h) = h - 1. Let g(p) = -q(p) - w(p). Let v be g(11). Let r = -44 - v. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -35*h**5 + 120*h**4 - 115*h**3 + 30*h**2 = 0.\nAnswer: 0, 3\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 6214?\nAnswer: -6217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l**3 + 2*l**2 + l + 2. Let h be n(-2). Let r = -40 + h. Suppose -6*p + p + r = 2*a, -a - 4*p = -12. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 570116 and 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 + 43 = 74*j. Solve 5*i + 36 = -4*y, 18 = -j*y - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*x - 138, -3*n = x - 98 + 23. Let d = 124 - 42. Suppose -d = -6*u + 2*u + z, 4*u = -3*z + 90. What is the highest common factor of x and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-555)\/6)\/((-385)\/(-154)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -4*k, -12 = -4*x - 4*k. Suppose x = 4*o - 2*o + 186000. Round o to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68\/703 - 415133\/3515. Which is smaller: q or -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(3)*-2 - sqrt(3)) + 2 + -1*sqrt(27).\nAnswer: -6*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3)\/b)\/(b\/b**(3\/2)) assuming b is positive.\nAnswer: b**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49647388.\nAnswer: 2, 7, 439, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*m**2 + 8*m - 8*m to v + k*m + s*m**2 and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 3*c - 5. Let h be j(-4). Let d = h - 17. Suppose 4*l - a = 1710, -2*l - 1704 = -d*l - 2*a. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 4*d + (-3 + 4 + 0)*(-5 + 5 + 2*d) - 1 + 2*d + 1 + (0*d + 0*d + 2*d)*(2 + 1 - 1).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1015957348 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 + 277 - 588 = -18*x. Suppose 44 = -5*d + 459. Calculate the remainder when d is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -160 + -26?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -23. Suppose 2*u + 54 = q*u. Suppose u*s = 11*s - 86. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-5))\/(-2)*18\/216*90.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m + 122. Let b be l(-22). What is the highest common factor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - 2 - (-8 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j - 6. What are the prime factors of x(5)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*b - 0*b - 2*y, -y = b + 7. Let a = b + 4. Factor -1\/2 + l**3 - l**a + 1\/2*l**5 - 3\/2*l + 3\/2*l**4.\nAnswer: (l - 1)*(l + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3\/15)*6\/(-110).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -144524.77 rounded to the nearest one thousand?\nAnswer: -145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 13 = -2*b, 3*v + 2*v + 20 = 5*b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 21, -2, -3, 5 in increasing order.\nAnswer: -3, -2, -1, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**5\/30 - 46*a**2 + 3*a. Let s(t) = -927*t. Determine m(s(k)).\nAnswer: -1718658*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319476444?\nAnswer: 2, 3, 7, 17, 409, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59 and 83131?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6602 divided by 3301?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0968897 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 - (-212)\/(-5). Let q be (-217)\/o - (-1)\/(-6). What is the least common multiple of 9 and 2\/5 - ((-28)\/q - -2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**4\/5 + 7*q**3 - 283*q**2\/5 + 93*q - 216\/5 = 0.\nAnswer: 1, 9, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 120 and -0.0053841404.\nAnswer: 119.9946158596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15563)\/4334)\/(1\/2) + (5 - -2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-42) + (8\/(-420))\/((-2)\/10). Let r be (-8)\/(-12)*6\/(-14). Let a = 32 + -12. What is the third smallest value in r, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 4) in base 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -305 - -1686. Suppose -4*q + 2327 = -o. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*d + 12030 = 0, 0 = -c + 6*c + 3*d + 12038. Let u = -961 - c. Let b = u + -863. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/7*(-114)\/(-114)*((-2)\/(-1))\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -149\/9 bigger than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80439193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/3*(-8)\/16*1. Let x = 41 - 44. Calculate the remainder when 87 - v\/x*1 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 77*a + 311. Let i be w(-4). Suppose -i*n = 2*x - 912, -x + 485 = 4*n + 19. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/2 - 65*k = 0. What is k?\nAnswer: -130, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -62\/175 less than 517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:04 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**12)\/m**7*m**(3\/5)*m*m*m**(-10)\/m assuming m is positive.\nAnswer: m**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37164 is divided by 6189?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14*(-11)\/(-6) - (-22)\/66. Suppose 62 = 9*t + c. Solve 3*f + 0*f = 4*r - 5, -5*r = -t*f - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.628482 months?\nAnswer: 0.0005523735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*j + 4*j + 4*p, 2*j = 3*p - 4. Let h = 1086 - 3586. Let s be (0 - (j - 1241))*h. What is s rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17909 is divided by 199?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -158, 4, 61, -0.2, -1, 1\/3, -17\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2 + 79695*q + 17597088 = 0. What is q?\nAnswer: -219, 26784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 508 and 1078216792.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 33369550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 5*x**2 + 4. Let c be y(5). Let a(b) be the first derivative of b**2 - b**2 + b**2 + c. Let t(q) = -q. Determine a(t(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 45. Let g = 81 + -321\/4. What is the nearest to 0 in g, h, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(33)\/(sqrt(120)\/sqrt(10))*-2*-1*-5.\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 92, 96?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -142*p**2 - 934*p - 29. Calculate n(-7).\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -5, 2, 11, 22?\n\"Answer: d**2 + 2*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99947*m + m**2 - 5*m**2 - 99964*m)*(-4*m + 6*m - m).\nAnswer: -4*m**3 - 17*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 - -0.6. Suppose 0 = 3*k - d - 14, -2*k = 3*k - 4*d - 28. Suppose k*r = 3*x - 4*x, 3 = -r - x. What is the third biggest value in 1\/5, r, z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 3*j + 3. Let s be b(-2). Suppose s*g + 4 = 89. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 58\nAnswer: -5\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 2:15 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71.8 - -71.8. Let y = -61 + 53. What is the nearest to -2\/7 in y, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - (-3 - -4))*-1. Let l(b) be the first derivative of b**3\/3 - 2*b**2 - b + 1. List the prime factors of l(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/16*16\/20\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 208*d + 2529. Let j be p(115). Let s be 106\/6 - 1\/(-3). Let z = s + -13. Which is the closest to j? (a) -1 (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o = -29*o + 12. Which is the closest to -0.1? (a) o (b) -1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 11 + 6 + 1 + 4*t + 0. Calculate y(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*v + 205*v + 1 = t, v - 1 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 + 0*c**4 + c**4 + (5*c - 2*c - c)*(43*c**2 - 100*c**2 + 53*c**2 - 5*c**3).\nAnswer: -8*c**4 - 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**3 + 5*d**2 - 7*d - 23. Let p(m) = 4*m**3 + 5*m**2 - 6*m - 23. Let u(s) = -3*o(s) + 2*p(s). Let v = 5369 - 5375. Calculate u(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in -0.89, 1.5, 2\/19, -0.607?\nAnswer: -0.607","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w - 1168961 = -1168577 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.614556 micrograms in nanograms?\nAnswer: 7614.556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10738 - -106?\nAnswer: 10842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2 = b + 7, 0 = -5*g - 2*b - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 502789\/156 - 14649\/26. Let v = 2658 - d. Calculate the common denominator of -43\/3 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6242569 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5213b3 (base 12) to base 5.\nAnswer: 312203202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*r - 867 = -5*r, 0 = -5*v + 4*r + 1089. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -35*u - 15193. Determine o(-434).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2020534, 10, 1\/3 in descending order.\nAnswer: 2020534, 10, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -39, 33\/26, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = k + 2*k - 10, -h - 5 = 0. Suppose k = 6*d + 18. Let n(s) = -s**2 - 6*s + 11. Let c be n(-8). Sort -4, d, c, 6.\nAnswer: c, -4, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 357.597 * 0.3.\nAnswer: 107.2791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/19)*p*p\/(p**(6\/25)*p)*p)\/((p*p*p**11)\/(p*p*p*(p*p**(-41))\/p)))**5 assuming p is positive.\nAnswer: p**(-23339\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*n + 37*n + 630 = 36*n. Let p(d) = -2*d - 14. Let v(h) = -3*h - 14. Let m(u) = 4*p(u) - 3*v(u). Give m(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/15)*s**(-3)*(s**0)**47 assuming s is positive.\nAnswer: s**(-43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3 - -0.03449608?\nAnswer: 4.33449608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 42\/5 of a meter?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/10)\/((-3)\/(-36)*4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 201030.999981 + -201032. Let o = -1 - t. What is o rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 51. Let c = a - 25. Let n = -6 - c. Put 1, 4, n in descending order.\nAnswer: 4, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 9:46 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-3)*s)\/(s*s**(-3)\/s))\/((s*s**(5\/4)*s)\/s**(2\/19)) assuming s is positive.\nAnswer: s**(369\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(27) - sqrt(33)\/sqrt(99))**2 - (-5*(sqrt(24) + sqrt(48)\/sqrt(2)))\/sqrt(8)) + 1 + 0.\nAnswer: -34*sqrt(3)\/3 + 115\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 8*k**2 + 2*k + 49. What are the prime factors of m(7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.91937*5\nAnswer: -29.59685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 248\/(-1)*1821\/(-12140)*40\/(-12).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/4)\/((-2525)\/(-4040))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*m**2 - 31*m**2 - 47*m**2 + 131*m**2.\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -2123284 (c) 5 (d) -60 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 969*u**2 - 2*u + 964*u**2 + 0*u + 952*u**2 - 2898*u**2.\nAnswer: -13*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -12749?\nAnswer: -3824.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12653?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by (0 + (6 - 7))*-67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 365*b + 55. Let j(w) = -26*w - 4. Let m = -1319 - -1264. Determine m*j(f) - 4*p(f).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10390192 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 2*s = -4*w - 92, 50 - 12 = -2*w - 3*s. Is 2819 - ((-10)\/w - 4\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -5*l**7\/7 + 25*l**4\/2 - 176*l**3\/3 + l**2\/2 + 225. Find the third derivative of s(r) wrt r.\nAnswer: -600*r**3 + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/7 + 9*b**4\/7 - 51*b**3\/7 - 361*b**2\/7 + 834*b\/7 - 432\/7 = 0. Calculate b.\nAnswer: -9, -8, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from kgkjggffgkffxkfgxxgk?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m + 2*m**3 + 45*m - 17*m.\nAnswer: 2*m**3 + 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -47900*s + 47903*s + y + 3*y, 0 = -9*y - 18 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4 + 51\/12. Suppose -u + 0*u - p*m = -13, -47 = -3*u - 4*m. What are the prime factors of 3*u - (-4)\/2?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.273 - -3.727. Which is the second smallest value? (a) 1\/6 (b) 4\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 5*d**4\/6 - d**3\/6 + d**2. Let v = 2572 + -2571. Calculate p(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*h**2*m**4 - 980*h**2*m**3 + 333*h**2*m**2 + 11*h**2*m - h*m + 4*m**2 wrt m.\nAnswer: -648*h**2*m - 5880*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 - 88.6. What is h rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 100378492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*c - 5. Suppose -c*b + 5*z - 12 = 0, 9*z = 2*b + 7*z + 4. Suppose -3*w + b - 7 = 0. Sort -3, 7, w.\nAnswer: -3, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbptzp. What is prob of sequence ztt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + 6 + -1 + (-8 - -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -146*g + 7. Is o(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k**2 + 110*k + 679. Determine g(-6).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 12:43 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0)*(1 + 4 + 2*n - 3) + (-19*n - 22*n + 22*n)*(-3 - 2 + 3) to the form o + z*n and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 - 107*p + 84. Calculate i(31).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from akzbzakapkvv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2 + j - 5 - 2*j. Let i be r(-7). Let q = 2523\/68 - 147\/4. Is i < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 714*f**2. Let a(k) = k**2 + 687. What is a(w(z))?\nAnswer: 509796*z**4 + 687","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1572, 1587, 1612, 1647, 1692, 1747, 1812?\n\"Answer: 5*l**2 + 1567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426141 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: Let d be (2 - 28\/10) + (-199992)\/10. What is d rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - -6*(sqrt(605)*-5 - sqrt(605))) + sqrt(605) + 4 + (-1 + sqrt(605) + 1 - sqrt(605) - (sqrt(605) + -1 + 4)))**2.\nAnswer: -770*sqrt(5) + 741126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20698064 by -1293629.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13517897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 + (-8 - -5) + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 12:36 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*j + 2)*(-3 + 6 + 2 + (1 - 1 - 1)*(3 + 2 - 7) + 3 - 3 + 2 + 2 - 4 + 0).\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9060498 is divided by 250?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 439.\nAnswer: 439.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2913*w - 4422 = -3650*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 5:16 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3613784 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -1. Suppose 5*u = -w + 8 + 9, 5*w - 4*u + 2 = 0. Let b = 8 - 12. Put b, t, w in decreasing order.\nAnswer: t, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 470 + -258. Let k = 212.4 - v. Put 4, -12\/7, k, -0.3 in decreasing order.\nAnswer: 4, k, -0.3, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6696 = -15*h + 315591. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-4 - -2) - (1 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5138 or 5136?\nAnswer: 5138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*t**2 - 809*t**2 - 603*t**2.\nAnswer: -889*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-912)\/(-285))\/(728\/390)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 15*q**2 - 189*q - 115. Let l be k(-23). Solve 11 = 5*r + 17*g - 21*g, -2*r - 3*g - 14 = l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 29\/7 + (72\/(-126))\/4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, y: 5, w: 1, d: 1}. Give prob of picking 4 y.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 100159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(9\/4)\/r))\/(r**(-10)\/r)*(r\/r**(9\/4))\/(r\/(r\/r**(4\/5))*r))**(5\/12) assuming r is positive.\nAnswer: r**(77\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2174637 (base 9) in base 8?\nAnswer: 4357536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7963367 is divided by 199?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 85 = 55*f. Let p(t) = 13*t**2 - 5*t - 1. Determine p(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55050 and 165800?\nAnswer: 182545800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zduhsuzurzr. What is prob of sequence hrzs?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 + -0.1. Let l = -7.044 - -7. Let v = j + l. What is v rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 336 - 315. Let v(w) = -60*w**2 + 35*w. Let z(s) = -5*s**2 + 3*s. Let j(a) = -3*v(a) + 35*z(a). Let h be j(1). Solve -h*o - 6 = -u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f*f**(-1\/2)\/f*f*f)\/f)*f*f*f*(f*f*f**4)\/f)\/(f\/(f*f\/(f\/f**(-1)))*f**3*f))\/((f\/f**6*f)\/f*f**(-1))**(-36) assuming f is positive.\nAnswer: f**(-427\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 8*o - 2. What are the prime factors of z(12)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, q: 3, z: 1, k: 2}. What is prob of picking 2 q and 2 k?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 18*f**2 - 330*f + 3146.\nAnswer: 2*(f - 11)**2*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1655*i + 5 + 1 + 3 - 9 to a*i + y and give a.\nAnswer: 1655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -242648359*q - 277644705 wrt q.\nAnswer: -242648359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -152*g - 658 + 3242 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 5*v**2 - 7*v + 9. What is g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/9, 2, 5, 21?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-27)\/90*100\/(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddtttttttt. What is prob of picking 1 d and 3 t?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*u + 26, -3*u - h = -5*u + 13. What is the closest to u in -1, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 5, 19 in increasing order.\nAnswer: 5, 19, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -31*d**2 - 6*d**2 - 18*d**2 - 72*d**2 + 10*d**2. Let j(f) = 2*f. What is o(j(n))?\nAnswer: -468*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -74*t + 0 - 1\/150*t**6 + 0*t**2 - 288\/5*t**3 - 9\/25*t**5 - 36\/5*t**4. Factor q(r).\nAnswer: -r*(r + 12)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -2)\/(-6 + 1557\/258). Let l = u + 143. What is the greatest common factor of l and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.1 + 9.8. Round c to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 - 141. Let g be 2*(-4 + 175\/40). What is the second biggest value in k, g, 54?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**3))\/((m*m\/m**3)\/m))\/(m*m\/(m\/m**(2\/15))*m\/m**(-5)) assuming m is positive.\nAnswer: m**(-122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f + 8*f**2 + f**3 - 3 - 3*f**2 - 7 + 3. Let w be k(-5). Suppose -w*u = -2*u - 10. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 198, -3, -33, 1, -12, 13, -1 in decreasing order.\nAnswer: 198, 13, 1, -1, -3, -12, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -121 - (4\/2 - -2). Let z = j - -235. List the prime factors of z.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5 - 14000*s**4 - 12699365*s**3 - 4056190610*s**2 - 416225860460*s + 848778302440 = 0. What is s?\nAnswer: -1147, -254, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*q - 3910*q**2 - 31*q + 51*q to x*q + g + y*q**2 and give y.\nAnswer: -3910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/8 - -13) + (7992\/996 - 13)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(432)*2 + sqrt(432))*-1 + sqrt(432) + 2 + (sqrt(432) + 1*sqrt(432) - sqrt(432)))*3)**2 + -3.\nAnswer: -432*sqrt(3) + 3925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -2\/7, -516, -2, 4\/5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11249 and 7.\nAnswer: 11249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 270*s**2 + 5*s + 22. Is n(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 187 = 10*n. Let k(y) be the second derivative of -y**4\/12 - y**3 - 3*y**2 + 2*y. Let w(z) = -2*z**2 - 11*z - 11. Calculate n*k(f) - 6*w(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + z - 26, -l - z - 4*z + 14 = 0. Let p = l + -23. Let u(c) = -p*c + 3*c - c - 2*c. Let f(b) = 4*b. Determine f(u(t)).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22716 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -261248*v**2 + 3*v - 130827 wrt v?\nAnswer: -522496*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 18*z**2 - 440*z + 65. List the prime factors of f(35).\nAnswer: 5, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 335869772*q + 211546436 wrt q.\nAnswer: 335869772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701) - sqrt(1701)*-2*5)\/(sqrt(252) + sqrt(252)*1 + sqrt(7) - (-1*sqrt(448) + sqrt(7) - sqrt(7))).\nAnswer: 33*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12423553, -24847106, -37270659?\nAnswer: -49694212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 4. Let g be j(3). Suppose -2*q + 5 = 9. Let d = q + g. Is d at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 247? (a) -0.064 (b) -1\/5 (c) -4\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(-23)*(-1)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 d when three letters picked without replacement from ljpcmpdd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010110111001111101 (base 2) to base 10.\nAnswer: 355965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 - 35*o**4 - 351*o**3 - 1269*o**2 - 1512*o.\nAnswer: -o*(o + 3)**2*(o + 8)*(o + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(5\/11)*d**(-2\/11))**(-1\/3))**9 assuming d is positive.\nAnswer: d**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*20\/16)\/(1\/(-4)). Let d(l) = l + 7. Let c be d(-5). Factor -215*r**c + 4*r**4 - 2*r**3 + 215*r**2 - 2*r**x.\nAnswer: -2*r**3*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002201 + 1002102202?\nAnswer: 1000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*((r*r\/(r**(-2\/19)\/r)*r)\/r)\/r*r)\/r)\/r**(-2\/5) assuming r is positive.\nAnswer: r**(428\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11057705 - -8\nAnswer: 11057713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1771 - 0.2229. What is the second biggest value in -0.1, p, -27, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -290 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -109359800.9 to the nearest one thousand.\nAnswer: -109360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21843.9*0.5.\nAnswer: 10921.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 7*m - 6. Let c be y(-10). Suppose c = -4*v + v. Let w be (3 - 1) + 2 - 2. Sort 0, v, w in decreasing order.\nAnswer: w, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 423555?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1386 and 63\/55.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 16 - 6 = 2*h, -5*h = -x + 81. Let t = 20 + h. Let j be t\/(-6)*-6*(-16)\/(-108). Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.4 (c) 7.65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 418*1276\/(-47064) - 1. Let g = r + -1\/1961. Find the common denominator of (4\/(-24))\/((-4)\/376) and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0. Let b = 0.2 + -0.3. Let k = b + t. Put -1\/4, -2\/15, k in decreasing order.\nAnswer: -2\/15, k, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 3421014?\nAnswer: 3421004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -174*c**3 + 4*c**2 + 5*c + 2. Let b be x(-1). Let f = b - -340. Suppose -833 - f = -4*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and -110398.\nAnswer: -110409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 3*c**2 + 6*c - 6. Suppose 5*a - 12 = 8. Let o be m(a). Let h = -2.8 + 3. What is the closest to 2 in 0.4, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**3 + 2*u**2 + u - 2. Let b be f(1). Suppose -b = 2*c - 4. What is the hundreds digit of c + 6\/(-9)*-159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551470?\nAnswer: 2, 5, 55147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let v(q) = -6*q**2. Let c(y) = -5395*y. Give v(c(a)).\nAnswer: -174636150*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*w = -1412, 0 = -2*c + w + 639 + 761. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -23569.\nAnswer: -7070.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m**4 + 12*m**3 + 4*m**2 - 12*m + 4 = 0. Calculate m.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -1363.5 (c) -1 (d) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.37669 - -0.02331. What is the nearest to 6 in g, -5, -2\/7, -1\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2130 or -2132?\nAnswer: -2130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-20)*-5)\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -57174\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 9. Let b be a(-13). Let u = 3 + b. Let y be u + -6 + 4\/2. Sort -0.4, y, 2\/17.\nAnswer: -0.4, 2\/17, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 145 + -525558?\nAnswer: -525413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (15 + -10))*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**2 - 4*k. Let c = 1324 - 1328. Let u(r) = 10*r**2 + 7*r. Calculate c*u(x) - 7*s(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:24 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 0 (c) 1.1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -67211 greater than or equal to -68248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60.0104 - -0.0104. Let q = -60 - g. Let d = 70\/3 - 24. What is the nearest to -2 in d, q, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/17)*j*j**(3\/2)*j*j\/((((j\/j**9)\/j)\/j)\/j*j)*j*j**32*j)**(1\/5) assuming j is positive.\nAnswer: j**(1661\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*-1)\/((sqrt(22)\/sqrt(2) + sqrt(11))*6)*6.\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-4) - -2)*(1 - -3). Let n(b) = -2*b**2 - 7*b - 5. Calculate n(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17528 + 19965265?\nAnswer: 19947737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1642080804 and 1827.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*(sqrt(605)*-2 + 2))**2.\nAnswer: -5632*sqrt(5) + 155136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, e: 1, i: 1}. What is prob of sequence iehh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 9 - 9. Let o(j) = 6*j - 4 + 13 + 3*j - 7*j**2 + 3*j**2. Let n(h) = -h**2 + 2*h + 2. Let w(z) = 9*n(z) - 2*o(z). Give w(s(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -253*m**3 + m**2 - 2*m + 4. Let c be o(-3). Round c to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {v: 2, a: 7, z: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2185 divide 1924615824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.37 (b) -2 (c) -0.5 (d) -1754 (e) 0.5 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**4\/n*n)*n**4)\/(n\/(n**(7\/3)\/n)*n*n**(-6)))**30 assuming n is positive.\nAnswer: n**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43, 41, 27, -5, -61, -147, -269, -433?\n\"Answer: -u**3 + 5*u + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1 - 0) - -4 - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = t - 5, 0 = -2*t + t + 2*r + 6. Let d = -319 + 306. Sort t, 1, d in decreasing order.\nAnswer: t, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3.7. Let l = s + 0.5. Let h be (-2)\/(-9) - (-26)\/(-36). Does h = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, o: 1, p: 7, l: 6, k: 2}. Give prob of sequence loq.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 4*i - 3*t - 1425 = 0, 3*t = -i + 375. Calculate the smallest common multiple of 40 and i.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3351352*t*u**2 - 45*t*u + u + 387 wrt u.\nAnswer: -6702704*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/(-30))\/(7\/(-20755)).\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.0386511 minutes in weeks?\nAnswer: 0.001194310625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73.5 + -74. Put 4, g, -12 in descending order.\nAnswer: 4, g, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89315a (base 11) to base 4\nAnswer: -11123233210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**3 + 2374*l**2 + 191*l + 142. Let x be t(-122). Round x to the nearest one million.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 1:00 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 52565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115.9999947 + 116. Round s to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 50*d**2 + 36*d + 31. What is the remainder when y(-2) is divided by 75?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 5)\/((-313)\/(-7199))\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 20*o + 75. Calculate g(-22).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4168 is divided by 675.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 398*z**2 - 321*z - 31122. Give d(399).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -762, 2, -2\/13, 1\/2, 5, -0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-12) + (-38538)\/(-108) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1650307 (base 8) to base 16.\nAnswer: -750c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7105 and 35.\nAnswer: 7105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6190886306 to the nearest integer?\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s - 6. Let t be g(5). Let f(j) = 0*j - t*j + 3*j. Let z(b) = 4*b**2. Give z(f(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 + 8 + -16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158022 and 56313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000001100011111110 + -10110101?\nAnswer: 1000000001100001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/12354 and -187\/208800.\nAnswer: 14824800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + 3 + sqrt(6)\/(sqrt(6)\/sqrt(3)).\nAnswer: 3 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -6.8178 and -145 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.151432\nAnswer: -0.0454296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 13. Let d(o) = 90*o**v + 10 - 10 + o. Is d(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(72)*6)**2.\nAnswer: 7776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17386559 * 4.\nAnswer: 69546236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - j = -7, 3*u - 2*j + 7 = -2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 241792099 to the nearest integer?\nAnswer: 15550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 561 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7, 23, 49, 85?\n\"Answer: 5*a**2 + a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 448 + 1340. Suppose 4*c = 4*w - 16, 6*w + 7 = w - 4*c. Is (k\/(-24))\/(w\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*l**2 + 79 + 56*l**2 - 77.\nAnswer: 206*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfffffzffffffffzffff. Give prob of picking 3 z.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7309782 and 438.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + -66 - 38\/4.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + sqrt(1872) + 1 - sqrt(1872))*1 + (sqrt(1872) + (sqrt(1872) - sqrt(1872)*-2) - sqrt(1872) - sqrt(1872)) + -2)**2.\nAnswer: -72*sqrt(13) + 16849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 39*v - 57. Let w be a(3). Find the common denominator of -2 - -1*(w\/11 - 5) and -51\/344.\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-213)\/108 - 2\/(-9). Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*c + 9, -17 = -2*g + 3*c + 2*c. Let v = -6 + g. Suppose 5*r - 44 - 51 = v. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/((-4554)\/(-88)) - (-4)\/(-9)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8 = -3*i, -y = 8*i - 4*i + 49. Suppose -d + 4 = -12. Let o = i + d. Sort 0, -2, o.\nAnswer: -2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/2*4\/(-35). Let u = 0.42 + -0.12. Which is the closest to -1\/2? (a) 0.1 (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111834918 and 31590.\nAnswer: 559174590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.10231 - -0.08856. Round i to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -32, -31, -40, -65?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1115145156.\nAnswer: 2, 3, 23, 103, 39227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(0\/2 + 1). Let r(t) = -t**3 + 8*t**2 - t + 2. Is r(f) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7 + 6649*z + 7 - 6650*z. What is r(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.543938053 to five dps.\nAnswer: -1.54394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 10*q = -112. Is q < -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/19)*n)\/n)\/n*n)\/(n**(2\/3)*n)*((n**(-2\/9)\/n)\/n)\/(n\/n**(4\/7)) assuming n is positive.\nAnswer: n**(-5294\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -15276*b - 122220. Give i(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + 2*sqrt(6050)))**2 + (((sqrt(242)*4)\/sqrt(11))\/(-3*-1*sqrt(11) + sqrt(11)))**2.\nAnswer: -3960*sqrt(2) + 217838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + l - 1. Let p be n(2). Suppose 2*r - r + p*v - 5 = 0, -3*v - 25 = -5*r. Suppose r = w, -3*d + 30 = d + 2*w. Sort 0.1, d, 0.4.\nAnswer: 0.1, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378\/271 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 436700 and 436700?\nAnswer: 436700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 194, 524, 992, 1598, 2342?\n\"Answer: 69*v**2 - 15*v - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - v = -7, -2*m = m + 5*v - 31. Suppose -2*z + 0*z + 4 = 0. Calculate the greatest common divisor of z and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 = 6*n + 2*n. Let -271*w**4 - 448*w**3 - 5 + 15*w**4 - n*w - 240*w**2 + 1 = 0. Calculate w.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 3*k + 5*k - k**2. Suppose 0 = -5*o + x + 10, -4*x - 8 = 3*o + 9. Suppose 4*h - o = a - 0, -3*h - 6 = -3*a. Give b(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8390 by 5.\nAnswer: -1678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 709 + -309. What is the highest common divisor of p and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z - 4*z + 6*z)*(0 + 0 + 2) - 2 + 2*z + 2)*(-111*z + 202*z - 58*z**3 - 90*z).\nAnswer: -232*z**4 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 + 2*p - 6. What is the smallest common multiple of s(4) and 159\/33 - (3 + (-35)\/11)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/(-6))\/(6\/9). Suppose -5*h = -4*c + 74, c - 3 = l*h + 10. Solve -c*m = -26*m + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/12)\/((-4)\/42). Let l = a + 16. What is the third derivative of -10*b**l - b**2 - 6*b**4 + b**4 - 3*b**4 wrt b?\nAnswer: -192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 5*r**2 - 3*r + 5. Let b(l) = -3*l**2 - 2*l + 3. Suppose -5 - 4 = -3*w. Let o(k) = w*x(k) - 5*b(k). Find the second derivative of o(j) wrt j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5851 and -18.582664558.\nAnswer: 5832.417335442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 0.1 (c) -0.476\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*4)\/(sqrt(3) - (5*sqrt(192) + sqrt(3))).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20790000 divided by -192500?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -525*h**3 - 11*h**2 + 8*h + 42. Let d(i) = 131*i**3 + 3*i**2 - 2*i - 11. Calculate -23*d(z) - 6*t(z).\nAnswer: 137*z**3 - 3*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t**2 + 161*t + 45. Let c be i(-16). What is the highest common factor of c and 1769?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421437581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 127*r**3 - 3*r - 66*r**3 - 53*r**3 + (0 - 2*r + 0)*(25*r**2 - 42*r**2 + 41*r**2) + r**3 + 2*r**3 + 0*r**3.\nAnswer: -37*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4471898 and -1694.\nAnswer: -4473592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2110*l**2 - 2031 wrt l?\nAnswer: 4220*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -2. Suppose 2 + 0 = -2*t, -d*m + 13 = -t. Let y(u) = m*u - 3 - 3 - u**2 - 10*u. Determine y(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17039 and 1177?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 3*s**2 - s + 2. What is the least common multiple of d(2) and (-332)\/(-16) - (-12)\/(-16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2*v - 5 = 4*y, 2*v = y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 102, 170, 244, 324, 410, 502?\n\"Answer: 3*d**2 + 59*d + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * 788.\nAnswer: 18912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -61. What is the least common multiple of l and 3?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.193540569 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkre when four letters picked without replacement from {x: 1, e: 1, r: 1, n: 1, k: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**3 + 29*c**3 + 5*c**3 - 12*c**3.\nAnswer: 37*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + (4 + sqrt(19) + sqrt(95)\/sqrt(5))**2 + 5 + (sqrt(19) + 1 + 0 + 5)**2.\nAnswer: 28*sqrt(19) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 17*x = -5*b - 6, -3 = 2*x + 3*b. Let m(y) be the first derivative of 80*y - 20*y**2 + 5\/3*y**x - 16. Find d such that m(d) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -132, -124, -102, -60, 8, 108?\n\"Answer: o**3 + o**2 - 2*o - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 10 = 6*k. Suppose -n + 39 = -3*t, 2*n + k*t = -3*n + 195. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4 = 0, 6*q - 3*q - 21 = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c3aa8 (base 14) to base 15.\nAnswer: 14e021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0 + (-2)\/(-20). Let l(a) be the second derivative of 0 + g*a**5 + 0*a**4 + 0*a**2 + 1\/3*a**3 - a. What is the second derivative of l(h) wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53\/210 + 32\/35. Let k(p) = p**3 + 8*p**2 + 8*p + 8. Let l be ((-28)\/8)\/(2\/4). Let y be k(l). Are y and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-56)\/(-32))\/(-7) + (-362)\/(-8). Let k be 19\/t - (-7)\/(-35). Which is the closest to 0.1? (a) 7 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*v - 178*v = 13656 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -5 (b) 13724 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 - (2 + -1 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11613 by 631.\nAnswer: -11613\/631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-6) - (-5)\/30. Suppose -4*o + 50 = -5*l + 7, v = -4*o + 4*l + 40. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8894 is divided by 8795?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38075362 and 156?\nAnswer: 228452172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -924 divided by 4.\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -43.1. Which is the closest to y? (a) -3\/2 (b) 8 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.002942031 and -0.07.\nAnswer: -0.00020594217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 13. Let a be y(-11). Suppose 5*c = -a*v - 132 + 52, 2*v - 60 = 5*c. Let x be (-44)\/(-22) - (c + -1). Solve 5*j - x = 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 t, and 1 s when three letters picked without replacement from nsyft.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p + 4*q = -58*p + 4, -2*q = -2*p + 10. Which is smaller: p or 117\/14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 1. Let g(x) = -4*x - 3. Let d(u) = u**2 + 6*u + 6. Let k be d(-5). Let c(r) = k*g(r) + 2*s(r). Differentiate c(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5 = -4*n - 118, -5*n = 5*q + 140. Let h = -11 - n. Suppose -2*f - 5 = c - h, 3*c + 15 = 3*f. Solve -b = -f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*g - 10*o + 25 = 67*g, 3*o - 4 - 1 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*r + 3 + 44*r - 3 + 36*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -231 - -20. Let y = -151 - b. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165138 and 1326.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 25, -4*m + 4 = 2*z + 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*h + 3, -9 = -3*x + 6*x + h. Let b be (-4*x\/(-8))\/((-20)\/(-15)). Which is bigger: 0.059 or b?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18632 - -18702. Solve -h = -g + 73 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1042866*s**3 + 206*s**2 + 176 wrt s?\nAnswer: 6257196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*m + 2*m - 5*l, -3*l = 5*m - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 8*x**2 - 9*x + 9. Let y be i(9). Suppose 6*z = y*z - 18. Solve 3*a = z - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from aeao?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/3 + -7)*2\/(-2). Which is the nearest to l? (a) 5 (b) 0 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - (-4 + 2 - (25 - 24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (525*g + 381*g - 79*g)*(-14*g + 15 - 15).\nAnswer: -11578*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3 + 721*b**2*g**3 - b**2*g - 2*b**2 - 5790*b*g**2 - 6*b - g**3 wrt b?\nAnswer: -6*b + 1442*g**3 - 2*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545 not equal to 2545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 1:06 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7144 divided by 76.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 0 + 0*f**2 - 1\/360*f**6 + 3*f + 1\/4*f**4 + 1\/3*f**3 + 1\/120*f**5. Let y(t) be the second derivative of n(t). Give y(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 15795, -95, -3.9 in ascending order.\nAnswer: -95, -3.9, -0.1, 15795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-5 + 9\/(-6) + 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-6) - 0)*2. Let t(d) = -d - 3. Let z be t(w). Let z - 1\/4*x**2 + 0*x = 0. Calculate x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 10. Let c be d(9). Let h(o) = -2*o**3 - 32*o**2 + 42*o. What are the prime factors of h(c)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -208*r + 8*r - 45*r + (6 - 2 - 1)*(0*r + 5*r - r) + ((-3 + 5 - 3)*(3 - 3 - 2) - 3 - 1 + 3)*(-5*r + 3*r + 0*r) in the form q + m*r and give m.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*i = 73*i - 264. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 5*i + 37 = 0, -4*l + 4*i + 132 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + s - 43 = 2*s, 0 = -2*s - 6. Let g be h\/12*48\/20. Suppose 10 = j - 14. Calculate the greatest common divisor of g and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 5*f**2 - 3*f - 4. Let r be d(3). Let z = -10 - -3. Let g(n) = -n - 7. Let s be g(z). Which is the smallest value? (a) r (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 67237197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from jkyyjpjpjakpkwjppy?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 6 = 5*w + 5*j, -7*j + 56 = 28 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x - 14 = -2*c + 27*x, 0 = 2*x - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/44*(2312\/51)\/(-34)*(-1)\/(-9).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010000000000010000 (base 2) in base 10?\nAnswer: 851984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -2*l. Suppose -4*z + l*y = -8*z - 8, 2*z + 2*y + 2 = 0. Let c(b) = -3*b**3 - 10*b**2 + 4*b - 11. What is the tens digit of c(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 12 = 3*i. Solve 1 + 7 = i*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + x - 2*x**2 + 3 + 11*x. Let j = -10 + 16. Is a(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*a = 6, 3*f + 51 = 3*a + 69 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5986.839 litres to millilitres.\nAnswer: 5986839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**6\/60 - t**5\/60 + 21*t**2. What is d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/2 (c) 3 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 474 + -279. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, x: 3, a: 3}. Give prob of sequence xaxz.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (167*p**3 - 167*p**3 + 13*p**4)*(-94 + 49 + 145) to n*p**4 + i*p + j*p**2 + v + a*p**3 and give n.\nAnswer: 1300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 12844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {d: 2, t: 4, e: 1, m: 2, y: 1, q: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.21\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 4) to base 2.\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 15*a**2 + 80*a - 58. Let u be t(-6). Solve -d = n + u, -n - 3*d + 1 = -d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -996*y - 40. Let f(t) = t - 76. What is f(z(a))?\nAnswer: -996*a - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/5 + 72 - -4. Suppose 13 = -2*u - 3. Let x = u + 47. What is the highest common divisor of a and x?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 375*l - 770. Is o(10) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -29*w + 403. Calculate the remainder when 61 is divided by (-2)\/((-6)\/w + 5\/12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-14)*(6 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 42081 + -22?\nAnswer: 42059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2))**9\/(x**6*x**(-1\/10))*(x*x**(-2\/19)\/x)\/x**(-4)*(x*x*x**(-2\/3))**11 assuming x is positive.\nAnswer: x**(4891\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10635355*l**2 - 24346925.\nAnswer: 21270710*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001298 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*f + 12*f + 46*f - 13*f to the form r*f + w and give r.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -71437 divided by -71437\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 100 - ((-1184)\/(-120) + 130\/975)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q - 2 = 0. Let c(k) = -3*k - 1. Let n be c(q). Suppose 0 = 107*i + 236*i + 9*i - 704. Solve 9*v - 23 = r + 4*v, -i*v + 14 = -n*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:10 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 33*t - 300 = 29*t, 5*b - t - 325 = 0. Calculate the greatest common divisor of 1824 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12098 is divided by 89?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(81\/9))\/((-7)\/42).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -9*q**3\/2 - q**2 - 19*q. Differentiate b(o) wrt o.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 6*k + 4. What is o(9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.156 + 139.844. Let r = h + -199. Let j = r - -59.00381. Round j to four dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2522307, -5044576, -7566849, -10089126, -12611407, -15133692, -17655981?\nAnswer: -20178274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157 + 244. Let o = -51 + d. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) - -4*(sqrt(272))**2)*-6 + (sqrt(51) + (sqrt(1275) + 2*sqrt(1275) - sqrt(51)))\/(sqrt(6)\/(sqrt(8)\/sqrt(4))).\nAnswer: 27*sqrt(17) + 13056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1192, -2, -1, -44, -5, 10.\nAnswer: -1192, -44, -5, -2, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzbwbzzubwwbwwozwo. What is prob of sequence bw?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4398 is divided by 120.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1276031 rounded to the nearest 10000?\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/36)\/(4\/642). Let o = -74 + n. Let d = -29\/12 - o. Which is the nearest to -2\/3? (a) -5\/4 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-14\/5)\/(o*o**(14\/9)\/o)*o\/o**18*o\/((o\/(o*o**(-3\/25)\/o))\/o) assuming o is positive.\nAnswer: o**(-4607\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16822\/7909 or -1?\nAnswer: -16822\/7909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**2*n - d**2 + 2*d*n + 13*n wrt d?\nAnswer: -2*d*n - 2*d + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-nine quarters of a meter?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(33\/(-4))*2\/(-4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 = 2*l + 194, -3*t - 5*l - 13 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -299*r - 279. Determine v(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 932*f**2 - 34524*f + 313632.\nAnswer: (f - 18)**2*(f + 968)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {h: 2, a: 2, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -289 - -6067\/21. Put 1.8, 4, 2, t in ascending order.\nAnswer: t, 1.8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002916025 to five dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h*h\/(h\/(h\/(h*h*h\/(h\/((h*(h*h\/h**(-3))\/h)\/h))))))**(-37) assuming h is positive.\nAnswer: h**148","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 373718840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 2*j**3\/3 + 4*j**2 + 4116*j. Calculate a(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -18. Suppose y + 2 + f = -5*i, i = y - 6. What is the first derivative of 76 - y*w - 70 - 7*w wrt w?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, m: 9, r: 3, f: 2}. What is prob of sequence rff?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 2*a + 395. What is h(19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -26, 1\/4, 0.2, 4\/95?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/6)\/(1415\/2264)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 10*h**2 - 6*h - 9. Suppose 27 = 13*k - 428. Suppose 44*p - 81 = k*p. Determine r(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-2 - -3)) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-5 + 1 - sqrt(77)\/(sqrt(1331) - sqrt(11)).\nAnswer: -51*sqrt(7)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105827 and 2560577?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(143)*4 - sqrt(143) - sqrt(143))*3)\/(sqrt(110)\/sqrt(40) - 6*(sqrt(11) - (sqrt(44) - sqrt(11)))))**2 + 5.\nAnswer: 46805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 617 divide 265302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103752 and 5429688.\nAnswer: 16289064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6187*w**5 + 4*w**2 - 21*w - 6.\nAnswer: -371220*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + f = 1, 0 = -2*l + f + 2*f - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/3610 and 89\/20.\nAnswer: 7220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 7*x**2 + 7*x - 3. Suppose 5*w = -0*w + 30. Let j be k(w). Suppose -j*n - 1 = -7. Solve 0 = 4*c + 20, -2*f + 2*c + n*c + 28 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 22\/1 - -1. Suppose 446*u = 439*u + 140. Let s = v - u. Let y(i) = -i**2 + 6*i + 7. What is y(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 - 92903465924.\nAnswer: -92903465951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, 30, 61, 102, 153, 214, 285?\n\"Answer: 5*s**2 + 6*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1488.02836066476 + 0.4\nAnswer: -1487.62836066476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -18*x**2. Let n(f) = 2000248*f**2. What is n(d(z))?\nAnswer: 648080352*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + 1*sqrt(171) + -2*(0 + sqrt(171)))**2 + -1.\nAnswer: 30*sqrt(19) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**3\/3 - 5*d**2 - 9*d + 1. Let g(f) = -f**3 - 4*f**2 + f + 3. Let s be g(-3). Let n be w(s). Solve -k = -n + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843.5012 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 33\/((-2178)\/374)*(-4)\/8*3\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**27)**(-12) assuming f is positive.\nAnswer: f**324","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21045 * 4.6.\nAnswer: -96807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 79*q**7\/70 + 5*q**4\/3 + 43*q**2 + 4*q. Find the second derivative of g(c) wrt c.\nAnswer: 2844*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 + 0 + (750 - 744).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25634*v**5 + v**2 - 129928*v wrt v?\nAnswer: 1538040*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 15*c + 15*c = 15*c + 6*m + 22, 0 = c - m + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000001 - 110000010001?\nAnswer: -11110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j - 26*j - 8140 = 0. Suppose -3433 - 617 = -5*n - o, 5*o = -5*n + j. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -562 and -9.\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -101*g + 2*g**2 + 101*g. Suppose 2*v + 0*v + 5*t - 29 = 0, 4 = -3*v + 2*t. Let f(z) = 0*z**2 + 3*z**2 - 5*z**v. Calculate o(f(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1050)*-1)\/(-1*sqrt(6)*1) + (sqrt(42)\/(4*sqrt(6)*1) + -5)*1)**2.\nAnswer: -305*sqrt(7)\/2 + 26447\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1735.604 grams to kilograms.\nAnswer: 1.735604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -40c (base 14) to base 13\nAnswer: -493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/9 - 622*j**2\/9 + 640*j.\nAnswer: -2*j*(j - 9)*(j + 320)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20695*t**6 - 5*t**2 + 1548*t.\nAnswer: -2483400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 683534 (base 12) to base 11\nAnswer: a37897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**3\/3 - 2*p**2 + 6*p - 46. Let t be (8 - 189\/18)*2. Calculate s(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-7)*y)\/(y*y*y**(-1\/6)) assuming y is positive.\nAnswer: y**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6342707.965 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.69887 rounded to zero decimal places?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 407133829?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/((-18)\/(-8)). Let u be (-3)\/((-27)\/2) + 174\/(-54). What is the nearest to m in -0.2, 2\/9, u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -29\/5 (b) 2\/25 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 + (-392)\/714. What is the nearest to -2\/7 in s, -1, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2300885500 to the nearest integer?\nAnswer: 47968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1001111010111100111010101011?\nAnswer: -1001111010111100111010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -10*o + 24. Suppose -o*g + 17 = -11*g. Solve 5*x - 3 = g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26135)\/(-982676)*16\/10.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49 - 331a?\nAnswer: -3291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25253, 50490, 75727, 100964, 126201?\n\"Answer: 25237*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*f - 105*f + y + 5 = 0, 0 = y + 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.25909l to millilitres.\nAnswer: 18259.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/110*-11 - (-1926)\/(-378).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v*v**(2\/5))\/v)**(-48)\/(v\/(v*v**8)*v*v**(2\/39)*v) assuming v is positive.\nAnswer: v**(-21304\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.064, 1\/2, -5, -2\/5 in descending order.\nAnswer: 1\/2, 0.064, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 12 + 27)*(w**2 - 5*w**2 + 0*w**2).\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 0*z**3 - 172\/5*z**5 + 0*z**2 - 164*z + 0*z**4 + 207. What is the derivative of t(y) wrt y?\nAnswer: -688*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0)**(-10))**(-48))**(-2\/19) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-6)*((-540)\/8)\/(-3). Let m = 34 + t. Suppose -5*i = -15, -2*g - g + 21 = i. Solve 0 = 4*c + 2 + 6, 0 = m*p - 5*c - g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r = -409 - 203 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32545.73um in meters?\nAnswer: 0.03254573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2971 + 1833*n - 3144 + 5299 wrt n.\nAnswer: 1833","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**3\/3 - w**2\/2 - 1. Let a(n) = 2*n**2 + 2*n. Let y(z) = 7*z - 3*z + 4*z + 32. Let s be y(-3). Determine s*t(x) + 3*a(x).\nAnswer: -2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -2, -5, 4, 444, 3 in decreasing order.\nAnswer: 444, 25, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**2 + 3*g**5 - 5*g + g + 6*g**4 + g - g**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.153\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1337923 divided by 70417\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 12*h - 5. Suppose 4*b + 3 - 27 = 0. Is r(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1183 = 213*a - 700 + 795 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304915270 to the nearest integer?\nAnswer: 17462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 8:38 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 + 921 + 1592*x + 334*x + x**3 - 921 to the form o*x + s*x**3 + n + h*x**2 and give o.\nAnswer: 1926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6461, 5695, 4929?\n\"Answer: -766*u + 7227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 17*p - 52. Let f be h(4). Solve f = 10*z - 9*z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -527 divided by 2.\nAnswer: -527\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-2 - -2 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62062)\/(-4340))\/(130\/125)?\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -11, -16, -23, -32?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3951860 and 0.4?\nAnswer: 3951859.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 3615*k + 313302.\nAnswer: 3*(k + 94)*(k + 1111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*f**2 + 101*f**2 + 2*f + 8*f**2 - 63*f**2 - 2*f.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22 (b) 0.17 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2 - 52*d + 127. What is f(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, r: 1, h: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*0 - 71\/(-213)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*v + 7*j, -18 = 6*v - 10*v - 3*j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -14*d + 11. Let b be j(0). What is the second derivative of 2 - b*m**2 + 23*m**4 + 4*m**2 + 7*m**2 - 53*m wrt m?\nAnswer: 276*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375409 and 332.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*m + 88 = 37*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22180 divided by 2.\nAnswer: 11090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 228\/((-24)\/(-4)) - (1 - 5). Suppose -2*m + 12 = -0*m. What is the highest common divisor of m and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2080836 = -2*s, -18*s = l - 20*s - 520215. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + (sqrt(63) - (sqrt(63) + (4 + sqrt(567) - sqrt(63))))**2 + (-1*sqrt(7623))**2.\nAnswer: 48*sqrt(7) + 7887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from nksnnnfssgaa?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/6)\/(2\/(-30)). Suppose i + 4*i - 85 = -s*j, -5*j = 3*i - 85. Calculate the remainder when j is divided by 18*((-10)\/4)\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 328\/84 - 12\/(-252).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 21*w**2 - 4. Let n be b(-4). Suppose -2*t - 2*t = -n. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47\/24 - -5\/8. Let n = 1165\/3 - 389. Let w be 1 + 14\/(-8) + 1. Which is the third biggest value? (a) v (b) n (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*r - 126*r - 95*r - 92*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18035, 18067, 18089, 18095, 18079, 18035, 17957, 17839?\nAnswer: 17675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**5\/30 - h**4\/4 + 35*h**2\/2 + 25*h - 3. Let w(j) be the first derivative of u(j). Solve w(b) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287, -557, -801, -1007, -1163?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71, 70, 69, 68?\n\"Answer: -z + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtxdmmd. What is prob of sequence tmm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 532950.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (2*sqrt(1331)*2 + sqrt(1331)) - (sqrt(1331) + 5 + 2*sqrt(1331)) - (sqrt(1331) + (sqrt(1331) - (-2 + sqrt(1331) + -3)) + -5))**2*-4.\nAnswer: -340836 - 3520*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1087 + -320. Suppose 0 = k*i - 761*i - 18. Let 0 + 1\/3*t**i + 3*t - 2*t**2 = 0. What is t?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnsmiap. Give prob of picking 1 s and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -0*i + i. Let p = -178 - -192. What is the remainder when i is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.79 - 7.79. What is the closest to -3\/2 in 19, d, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -3*q - 5, 12*s - 8*s - 12 = 4*q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -720 + 840. What are the prime factors of (-42)\/(-8)*41\/(410\/i)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 9*r + 27 = -12*r, -31 = -5*o + 4*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 80 = 3*y. What is the remainder when 117 is divided by y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-28 - (6 + 2) - -14)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/188730 and -17\/13980.\nAnswer: 377460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 792. Let u(i) = -14549*i. What is u(t(a))?\nAnswer: 29098*a + 11522808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*v - 28. Let l = 17 - v. Calculate the lowest common multiple of l and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 243090\nAnswer: -1\/24309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 214*8\/164 + 2. Let a = 913\/492 - s. What is the common denominator of 101\/96 and a?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398308593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4218575 or 4218579?\nAnswer: 4218575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j**2 + j)*(j - j + 2*j**3) + 2*j**3 - 2*j**3 + j**5 - j**5 + 1758*j**3 - 1758*j**3 + (2*j**3 - 2 + 2)*(-j + j - 8*j**2).\nAnswer: -12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -5. Let z be 26\/h + 1\/3. Suppose 3*a - 2 - 7 = 0. Sort -5, z, a in descending order.\nAnswer: a, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 9. Let t be -1 + 0 + 1 + 11. Let d be h(t). Suppose 3*a + 17 = d*y - 1, -y + 9 = -5*a. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1122 (base 3) to base 5\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 184 = 4*y - 182, 3*l - 14 = -4*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 3\/5903656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*w - 1 + 1 + 56*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -75*r**2 - 10*r + 36. Let u be o(5). Round u to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*m + 949, -2*b - 2*b = -m - 1237. Suppose -8*d = 68 - b. What is the remainder when 89 is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - m + 0)*(0 - 2*m + 0) + (0*m + 0*m - 2*m)*(8 - 8 - 11*m) in the form p*m**2 + q*m + j and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1813890 = -7*n - 58*n. Round n to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 34181 = -g, -588*g + 42756 = 5*h - 585*g. Calculate the remainder when h is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9002204177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98014*c - 49027*c - 48987*c - 15*c**3.\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 0*v + 2*v - 3 - 1 + 3*v**2. Suppose -3*u - 29 = -17. Does 18 divide k(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 7*u + 6. Let y be j(-5). Let k = -10 - -12. Suppose -k*g + 38 = -y. Calculate the highest common factor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/9)\/n**4)\/(n\/(n*n**2))**(1\/18))**35 assuming n is positive.\nAnswer: n**(-1295\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 + 10*r - 20. Let h be v(6). Let f = -33 - h. Is (f\/2*1)\/(64\/(-30336)) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1129\/9 - 126. Let p be (4\/20)\/(18\/(-95)). Let f = j - p. Which is bigger: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 2*l**2 + 6*l + 4089. Is i(0) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 19, 54, 103, 166, 243?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-330)\/(-5))\/(-22))\/((-18)\/5).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*g + 35 = 0, 3*g + 29 = 2*y + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -17*q + 15*q - 2*j, -4 = -5*q - 2*j. Find the second derivative of 32*i**2 - 2*i**3 + 16*i - 61*i + 22*i + 20*i - q wrt i.\nAnswer: -12*i + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g - g - 3*g - g in the form d*g + v and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((-54)\/(-81))\/(608\/10872)\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 270?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200089 is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18720171.\nAnswer: 3, 89, 23371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 11 = 3. Solve u = -3*v + 7*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4 + 4*l**2 + 4 - 3*l**2. Let n(z) = z**3 - 2*z**2 + 2*z - 3. Let s be n(2). Let p(x) = s + 2*x - 1. Determine j(p(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-311683630\nAnswer: 155841815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/7)\/r**(-7))\/(r**6\/(r\/(r*r*r**(3\/7))))*((r\/(((r**(-1)\/r)\/r)\/r*r))**(-15))**(-6) assuming r is positive.\nAnswer: r**359","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0051755085 to 4 dps.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(1 + 0 + 1)*(-4 + 4 - 2*z)*(2*z - 4 + 4)*(281 - 107 + 2311).\nAnswer: -19880*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 2 - (-11 + 5 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22381479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(5*(-24)\/180)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 1:21 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 32 = 2*y. Solve d - 12 = -4*b, 2*d + 2*d + y = -3*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 0\/((-5)\/(-5))*-1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.52 + -17.18. Let q = b + 305.7. Let f = -286.9614 + q. Round f to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 9. What is d(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1341 - -18?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**3 + 17*k**2 - 46*k + 12. Let b(w) = 17*w**3 + 50*w**2 - 140*w + 35. Let j(t) = -2*b(t) + 7*h(t). Calculate j(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000217153736 to six dps.\nAnswer: -0.000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 285, 289, 283, 261, 217, 145, 39, -107?\n\"Answer: -y**3 + y**2 + 8*y + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-407)\/74)\/((-8)\/(-32)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/4200 and -119\/66.\nAnswer: 46200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*b = 3*x - 133*b - 51, 4*b + 4 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1416, 2837, 4258?\nAnswer: 5679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.233522441835 plus -3?\nAnswer: -10.233522441835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0 (c) -625\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9933 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 16 + 9 + b - 29 + 0*b + 10. Determine d(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/46 - 14\/23. Put 5, -0.4, p, 0.6 in decreasing order.\nAnswer: 5, 0.6, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -7 - ((-10527)\/4334 - (-12)\/(-8)). Is -1 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3, 5, 1, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 23*q - 178. Let w be c(8). Let v(x) be the second derivative of 9\/5*x**2 + 1\/50*x**5 + 0 + w*x + 1\/5*x**3 - 1\/6*x**4. Factor v(n).\nAnswer: 2*(n - 3)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*g - 6804 = 157*g - 105*g for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 91*d + 1215. What is the lowest common multiple of r(25) and 0\/2 - (-16 + 0)?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163 (base 9) to base 8.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from qjqjrjwrwzeeeqq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 80 - 20. Let z be ((-8)\/12)\/(4\/w). Suppose -z*m + m = 0. Let n(p) = p + 3. Give n(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-60)*10)\/((-4)\/156).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*c + 12*c**6 + 59*c + 70*c**3 - 32*c**3 - 32*c**3 + c**2 wrt c?\nAnswer: 1440*c**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7957 - 7957. Which is the nearest to -0.02? (a) -2 (b) -1 (c) g (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (177*n - 124*n + 297*n)*(6*n - 2 + 4 - 4*n) + 2*n**2 - 2 + 2 + (-4*n**2 + 0*n**2 + 5*n**2)*(1 + 0 - 2) - 3*n**2 + n**2 + 3*n**2.\nAnswer: 702*n**2 + 700*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 804.661538 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yeb when three letters picked without replacement from {n: 1, b: 4, t: 1, i: 1, y: 1, e: 5}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -73344 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 13*x**2 - 16*x + 32. Suppose -a + 15 = 1. Let f be l(a). Suppose f*h = -5 + 9. Put h, -3, -6 in decreasing order.\nAnswer: h, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12061 is divided by 6027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 30484 = -3*o. Suppose -6*g - o = 1181. Let c = g + 2828. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 4\/(-30) + (-10)\/(-75). Is x\/16*106*22 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddxw when four letters picked without replacement from {x: 1, i: 5, d: 6, o: 2, w: 1, v: 1}?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -221\nAnswer: 1\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-5))*l*l\/l**(-1\/5))**(-36)*(l**(-1))**(-7)\/((l\/((l**(3\/5)*l)\/l))\/(l\/(l*l**(2\/11)))) assuming l is positive.\nAnswer: l**(5897\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90889658 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*l - 4*n + 2, 2*n = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -2140.8.\nAnswer: -2138.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71443 is divided by 7937?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7476 - 0?\nAnswer: 7476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4644*a*u**4 + 7*a*u**3 + 194365*a wrt u.\nAnswer: 18576*a*u**3 + 21*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63914*1.4347.\nAnswer: 91697.4158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 52*p**5 - 200*p**4 - 344*p**3 + 160*p**2 + 292*p + 40 = 0.\nAnswer: -1, -2\/13, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l + 1. Let a be x(-1). Suppose 0*r + 4*r - 2*i = -14, 0 = -4*r - 2*i - 34. What is the units digit of (-5)\/a - 2\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p**3)\/p))**45\/(p**11*p*p**(3\/5)) assuming p is positive.\nAnswer: p**(-513\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1161898225561366 - -0.4\nAnswer: 1161898225561366.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4851516521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*l - 2*l + 5837, -3*l = -2*c + 2911. What is the greatest common factor of c and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 844016900 to the nearest 1000000.\nAnswer: 844000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205614.\nAnswer: 2, 3, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 1, -4 in descending order.\nAnswer: 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3*c = 24, -4 = 3*t + 195*c - 191*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3292298 and -0.6?\nAnswer: 1975378.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 16 + 32*x + 39*x + 35 as z + f*x and give f.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062.\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.6 - 6. Which is the nearest to 2\/5? (a) m (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 4*p + 2 + 3 = 2*u, 137*p = 11*u + 133*p - 75 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**3*o*p**4 - m**3*p**2 - 24*m**3*p + 2*m*o*p**2 + 24*o*p**4 - o*p**3 wrt p?\nAnswer: 24*m**3*o*p + 576*o*p - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.017\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/30)\/((-630)\/(-140))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eehhtdyf. What is prob of sequence eftd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 299*o + 204*o.\nAnswer: 503*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*r - 28 = 0, -14*y - 235 = -9*y + r. Let v = y - -52. Calculate the least common multiple of 9 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*p**3 + 23*p**3 - 49*p**3 + 3*p**4 - 2 - 31*p + 9*p**3 in the form u + n*p + s*p**3 + a*p**2 + k*p**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -351\/4 (b) -1\/16 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*x + 633 = 1961, 1328 = 4*p + 5*x. Suppose -3*g = -12, 3*y + y + 3*g = p. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 407*z**5 + 2*z**3 + z**2 - 576*z. Let m(d) = -407*d**5 - 3*d**3 - d**2 + 576*d. Let f(w) = -3*k(w) - 2*m(w). Find the third derivative of f(b) wrt b.\nAnswer: -24420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13088\/11452)\/((-152)\/(-14)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 v when four letters picked without replacement from vosvvvssssoosovssss?\nAnswer: 75\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106975399.\nAnswer: 37, 1289, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x - 26. Let y(g) = 3*g + 17. Let b(q) = -5*l(q) - 8*y(q). Let n = 4 - -1. Let k be b(n). Let a(j) = 8*j**2 - j - 1. What is a(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9 + 3. Suppose -5*o - 63 = -4*o. Let w be o\/108 - 2\/(-8). What is the closest to 0 in b, w, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80*10*(-23)\/(-920).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-69)\/12 + 6)*16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(2744) - 2*sqrt(2744) - sqrt(2744)) + sqrt(2744) - sqrt(2744) - sqrt(2744)) + sqrt(2744) - sqrt(2744))*6)\/((-5*sqrt(72)*-2)\/(-5*sqrt(9)*2)).\nAnswer: -378*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8849.194m in kilometers?\nAnswer: 8.849194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -389, -841, -1799, -3515, -6241, -10229?\nAnswer: -15731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnlnjnjjjnhnjooon. Give prob of picking 3 o.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1076, 2157, 3238, 4319?\nAnswer: 5400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 4, -0.15, -5, 544.\nAnswer: -5, -0.15, 4, 33, 544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15*0)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5315?\nAnswer: 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbwwbwbbbwbwwwbwwwbb. Give prob of sequence wbbb.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.14. Let v = -1.45 - -0.88. Let k = f - v. Round k to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5923, -5887, -5851, -5815, -5779?\nAnswer: -5743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.7 + 1.7. Let z = -19.1 - t. Which is smaller: z or 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + (6 - 0) + (-51 - -30) + -41?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 40\/3. What is the closest to a in 4, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from jeejjj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1374 >= -1373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2893 divide 105762312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822687 is divided by 158?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c + 84 = 40*c. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 52, 83, 122, 175, 248?\n\"Answer: f**3 - 2*f**2 + 30*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -212 (b) -0.5 (c) -0.1 (d) -5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.373 years in millennia?\nAnswer: 0.139373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -19*z**4\/3 - 29*z**2\/2 - 12*z + 3. Find the first derivative of t(i) wrt i.\nAnswer: -152*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.5 + -4. Let t = -1.3 - a. What is the nearest to -1\/4 in 2\/11, -5, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830541799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 218771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 12*d + 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (-46 + (21 - 10) - -22)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.841 - 0.159. Let o = -42.5 - -43. Which is the smallest value? (a) o (b) -2\/3 (c) y (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/375)\/((-108)\/(-240)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8 = -5*s, -2*s + 4*t + 20 = t. Find the third derivative of -i**2 + i**4 - i**s - 2*i**5 wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -19. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 5:20 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*u + 6878, 28*u - 26*u - n = 6874. What are the prime factors of u?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1046*s - 1014*s + 2062*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2 + 14644*a + 14646 = 0.\nAnswer: -1, 7323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000301334 rounded to 7 dps?\nAnswer: -0.0000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 322241, 322299, 322453, 322751, 323241, 323971?\n\"Answer: 8*s**3 + 2*s + 322231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o + 6*o - 135*o**2 - 17 + 136*o**2. Calculate w(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268859631 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 2. Let l = f - -4. Suppose -a + 5*m = -l*a + 16, -5*a - m + 40 = 0. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 33, 18, -185 in ascending order.\nAnswer: -185, -5, 1, 18, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + 67*j**2 + 89*j - 300. Calculate v(-32).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149921845 to the nearest integer?\nAnswer: 12244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 7. Let i(o) be the second derivative of 5*o**3\/6 + o**2 + 4*o. Let m(a) = 10*a + 5. Let f(g) = 11*i(g) - 6*m(g). What is 6*f(x) - 7*k(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12832506847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-18)\/(-4)*(-20)\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1149228589856 - -1149228944745.50000064. Let g = h - 354889. Let b = -0.5 + g. Round b to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0348 - -0.37.\nAnswer: 0.3352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -383, -369, -345, -305, -243, -153, -29, 135?\n\"Answer: m**3 - m**2 + 10*m - 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 12. Let v be p(10). Let t be (-1 - (1 + -3)) + -1. Let h = v - t. Solve h*i - 6 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -209 - -214. Suppose d*h - 357 = 3043. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 3*u + 5*u)*(-4 + 5 - 3) - 5*u + 2*u - 2*u + (3*u - 2*u + 0*u)*(-1 - 8 - 4) to m*u + v and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 6*k**2 - 5*k + 3. Suppose 0 = 3*c + 12, 2*x - 5*c - 35 = -x. Let a be w(x). Let u(g) = -g**3 + 3*g**2 - 4*g + 4. Give u(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -53 + 12. Suppose -4*x - 3*p = 6, p - 42 = -x - 44. Suppose o*t - 36*t - 2155 = x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 o when three letters picked without replacement from psnenoaspspsssoeee.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*d**2*n**3 - 75*d**2*n + 2*d**2 + 167*n**3 - 48 wrt d?\nAnswer: 24*d*n**3 - 150*d*n + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*y + 1797, -y + 5*y + 4*f = 2380. Calculate the highest common divisor of 247 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 2. Let m(t) = -2*t - 3. Let v(h) = -6*d(h) + 4*m(h). Let n be v(2). Let c(k) = -4*k - 1. Is c(n) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5296*r**2 + 15882*r + 5. Determine m(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9)*g*g**9)\/(g*(g*g**5)\/g*g*g**(-2\/3)*g) assuming g is positive.\nAnswer: g**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -233.1 + 233.2. Which is bigger: 46\/3 or c?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71867 - -71924.978. Let j = 58 - w. Let x = 0.422 - j. What is the fourth biggest value in 0.15, x, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m + 15 = 0. Let w = 5 - m. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-429)\/104)\/(-11)*-24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1538851588?\nAnswer: 2, 384712897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155\/2 - 386\/5. Let w be (472\/(-1416))\/((-2)\/(-5 - 1)). Which is the biggest value? (a) v (b) 0.5 (c) w (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - -5. Suppose -6*p + 0*p + n = 0. Factor -17*c**2 - 3*c - 3*c + 8*c**2 + p*c**4.\nAnswer: 3*c*(c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251 + -245 - (-1 - -67)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:00 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.999635ng in tonnes?\nAnswer: 0.000000000000008999635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -939 + 946. Let b(l) = l**3 - 5*l**2 - 9*l - 5. Let x be b(w). What is the highest common factor of 840 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*r + 23 = -2, 2*a = -4*r - 20. Let z = -3 - a. Calculate the common denominator of z and -22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47333*a**2 + 6*a**4 + 392*a - 3*a**4 + 47446*a**2 + 202*a wrt a?\nAnswer: 36*a**2 + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53426720 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3003 - 3?\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Suppose -f = -n*f - 3. What is the derivative of 2*u**3 - 1 - 2*u**f + 0 + u**3 wrt u?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 12*m + 8 = g, -3*g = -4*m - 14. Let j be 2\/8*1 - 1. Let k = -0.1 + -0.2. Put g, k, j in descending order.\nAnswer: k, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*x + 6, -3 = s + 2*x - 3*x. Let o be (4\/6)\/(s\/(-6)). Suppose 2*q - 3*b - 140 = 0, 0 = 3*q - o*q - 5*b + 57. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 2*n + 0*n)*(0*n + n + 0*n) - 15*n**2 + 29*n**2 - 9*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 - 2*f + 6. Suppose t + 9*b - 30 = 5*b, 0 = t - 4*b + 18. Let d(s) = s**2 - s + 2. Calculate t*v(h) - 17*d(h).\nAnswer: h**2 + 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/116 and 70\/261?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 + 15 + (-7 - -4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**2\/2 + 13*b - 3. Does 9 divide l(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 13 = h, -z - 2*h - 1 = h. Suppose -5*k + 1029 = -4*i, 0 = 3*k - 4*k + 4*i + 209. Suppose 5*w = r - 3*r + 200, z*w = -3*r + k. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 265 + -529\/2. Let q = -6 + 2. Put q, r, -1\/2 in decreasing order.\nAnswer: r, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.532 - -0.53838. What is j rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 50*p + 599. Let k be z(-12). What is the second smallest value in k, 3, -26?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -11 (b) 44 (c) 2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 478405.7 and -0.18.\nAnswer: 478405.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 3*q + q + q + 3*q - 6*q + (-q + 0 + 0)*(-1 + 3 - 1) + 0*q - 20*q - 15*q + (-q + 3*q - 6*q)*(7 - 2 - 3).\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12919\/3 + -4265. Let q = o - 4334\/105. What is the biggest value in q, 1\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 3*i**2 + i - 4. Let v be y(2). Suppose 4*l = -3*a - 65 - 4, 4*a = -v*l - 42. What is the second biggest value in -3\/5, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-5 - (-13 + 7)) - -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*i - 3, -3*x = -2*i - 2*i + 9. Let z be ((-4)\/(-42))\/(x\/(-9)). Which is the smallest value? (a) z (b) 4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + 0)**2 - sqrt(11)) + sqrt(44) + -2 + -2*(sqrt(11) + sqrt(11) + sqrt(11) + 0) + 1*sqrt(11)*-6.\nAnswer: -11*sqrt(11) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/7 - 416637\/(-189)?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 233 and 3728.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 14*w**2 - 34*w - 31. Let h be t(16). Let n = h + 128. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 3. Let y = -5 + a. Suppose 0 = -2*c - 5*n + 30, -2*n = -4*c - y + 37. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**2 + 2*g + 2. Let t be d(-1). Solve 1 = -p + t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 2*h + h**4 + ((5 - 5 - 2)*(3*h - h + 3*h) - 3 + 3 + h)*(2*h**3 + h**3 - 5*h**3).\nAnswer: 19*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*((-4)\/18 + 40\/(-144)). What is the closest to a in 3, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -128885, -129189, -129491, -129791, -130089, -130385?\n\"Answer: v**2 - 307*v - 128579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vycccvvvvcvcccvcv. What is prob of picking 2 v?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3602930 is divided by 128676.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.45 + 11117.\nAnswer: 11114.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1663275 minutes in milliseconds?\nAnswer: 9979.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 717723163*v - 1026435093 wrt v.\nAnswer: 717723163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3443709 = -6*p - 103*p + 2140688. What is the ten thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12075 + 0.233404?\nAnswer: 12075.233404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51274233?\nAnswer: 3, 29, 196453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1111 + 136?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 37. Calculate the remainder when (22 + -1)*((-15)\/(-45) - -2) is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.03, 31, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 + 18*i**2 + 15*i + 13. What are the prime factors of t(-7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -5 + 15 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.671 + 0.101. Let f = a + 0.595. Let m = 0.0433 + f. What is m rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, n: 1, z: 1, v: 1}. Give prob of sequence nssv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 17*h**2 - 52*h + 4. Determine n(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*r + 9291 = -92*r. Are -209 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 - -173. Let z = b + -63. Sort -2, z, 3 in ascending order.\nAnswer: z, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q - 2 = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6) + (7\/(-63) - 240\/(-135))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -74257328.\nAnswer: -371286640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 4*k + 5. Give j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-144))\/(225\/(-180))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3077 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 + 4*s**2 - 7. Let b(o) = 3*o**3 + o**2 - 1. Let v(y) = 6*b(y) - f(y). Give v(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.41 (b) 5 (c) -1\/5 (d) 0 (e) 18\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 6 = -b. Let l(x) = 3*x**2 - 30 + 30 + x**b. Let s(i) be the third derivative of i**5\/60 + 3*i**2. Calculate l(s(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -232*b + 202. What is a(3)?\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12482690 is divided by 1398.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-4)*16\/7*113\/226. What is the smallest value in -0.07132, x, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**6\/12 + 7*d**5\/60 + 2*d**4\/3 + 7*d**3\/6 - 107*d**2 - 19*d. Let p(y) = 7*y**3 + 5*y**2 + 11*y + 5. Give 7*p(r) - 5*s(r).\nAnswer: -r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 6*t**2 - 8*t - 7. Let u be j(-7). Find the third derivative of u*p**2 + 3*p**3 - 21*p**2 - p**3 wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25704 + 25734. Solve 77*j = 87*j + y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -927*s - 1. Let v(y) = y. What is v(x(g))?\nAnswer: -927*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-81)\/6)*1\/(15\/(-1485)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 897339 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 36. Let u be 18\/12*l\/(-2). Solve 4*k + z + 15 = -0*k, u = -4*k + 3*z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3155?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12 - 4*s**4 + 0*s**4 - 5*s**2 - s**5 + 5*s**4 - s**3 + 10*s**3 - 16*s.\nAnswer: -(s - 3)*(s - 1)**2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-96)\/(-112) + (-4)\/14 - (-2134)\/(-3808) and 59\/68.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 27*d**2 - 4*d - 2. Let r(m) = -26*m**2 + 5*m + 2. Let w(h) = 3*p(h) + 2*r(h). Is w(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144956*5.\nAnswer: 724780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -57 + 62 + -1 + 4. Solve 3*w + b*w = 44 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974448222 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from wigdh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0415, -0.04, 2\/9, 4?\nAnswer: -0.0415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152 and 3?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 83 = 3*f, 4*f = -91977*r + 91971*r - 96 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 - (-384)\/(-28). Suppose -4*z = 37 - 125. What is the least common multiple of -1*(1 + 0)*t and z?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 0*t**3 + 1\/3*t**2 + 0*t - 1\/6*t**4 + 12. Solve s(f) = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/4 + 1758868*g - 3093616641424 = 0. What is g?\nAnswer: 3517736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1964795 to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -8*f - 28, -10*h + 26 = 3*f + 45 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138 + 143. Let p(z) be the third derivative of 0*z**f - z**2 + 0*z - 1\/70*z**7 + 0 + 0*z**4 + 1\/2*z**3 + 0*z**6. Differentiate p(o) with respect to o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*i + 4 = 2*r, 3*r - i = 8. Suppose 1775 = r*b + b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) - (-99)\/36. Let l(k) = 3 - f + 13*k - 15*k. Let j(r) = r**2. Calculate l(j(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 7*h - 4. Let t be s(8). Suppose -3*w - 22 = -g, t*g = -0*w + w + 88. Suppose -l + 3*l = g. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*m + 116*m + 128*m - 9*m.\nAnswer: -39*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2927, 5861, 8795?\nAnswer: 11729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/676266 - -93864368143\/16906650. Let j = -5551 + i. Find the common denominator of 48\/55 and j.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - 0?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q**3 - 15*q**3 - 19*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*i**3 + 138705*i**2 - 317232*i + 181312.\nAnswer: (i + 2833)*(7*i - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23, 49, 59, 47, 7, -67?\n\"Answer: -x**3 - 2*x**2 + 39*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 4. Let q be s(-2). Which is the smallest value? (a) -0.4 (b) -0.3 (c) -2.7 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**3 - 147*h**2 - 700*h - 1. Calculate y(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, m: 8, e: 5}. Give prob of sequence tmme.\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 14*i - 20. Determine t(9).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11122011222022 (base 3) to base 7.\nAnswer: -26641451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (34\/85*-15)\/((-3)\/4). Is -42\/11 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 9 = 5*u, -3 = 3*x + 3*u - 0. Suppose 5*m + c + c + x = 0, -c = -3*m + 6. Find the first derivative of 7*i**3 - 2 - 5*i**3 - m wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5188731 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -215*(-4)\/10 - -12. Which is the closest to 0? (a) -2 (b) 4 (c) f (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 23871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 y when three letters picked without replacement from yvvwwwv.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*o = -370*o + 70. Let m = 78 - -31. Let a = m + o. What is the remainder when a is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 4. Let n be z(2). Let m = -6.7 + 7. Which is the nearest to 2? (a) n (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2128 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**5\/20 + 7*a**4\/12 + 7*a**3\/6 + 9*a**2\/2 - 3*a. Let z be u(8). Let r(x) = x + x - x - 8*x**2. Determine r(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -148200918, -148200920, -148200922, -148200924, -148200926, -148200928?\n\"Answer: -2*t - 148200916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6, -i + 3*o = -9 + 23. Let q be (i\/(-10))\/(2\/(-44)). Let l = q + 11. Solve 4*c - 11 = 5*u - 2, l = -2*c - 5*u - 33 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62349017 to the nearest integer?\nAnswer: 7896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*b + 183 = -26 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 17756369077891?\nAnswer: -17756369077890.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(2) - (-2*sqrt(18))\/sqrt(9)) + sqrt(6)\/sqrt(3)*-5 + 3*(sqrt(8)*1)**2).\nAnswer: -2*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1426 and -33\/62.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 85\/(-34)*231688\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20510 is divided by 2272.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 = -4*d + 262. Let w = d - 175. Solve y + w = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -c + 4*h, 5*c - 4*h + 5*h = -254. Let t = 27 + c. Let i = 7 - t. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 161 - 161.04. Which is the nearest to 0? (a) -17 (b) u (c) 0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 12\/5*b**5 + 0*b**2 - 11\/4*b**4 - 1\/6*b**6 - 77 + 0*b + 0*b**3. Let r(f) = 0. What is f?\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -544600 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(450) + 3)**2.\nAnswer: 120*sqrt(2) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 292013\/130645 - -1\/7685. Let m = 142\/459 - i. Calculate the common denominator of (71*1*-1)\/21 and m.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**3\/2 - w**2 + 2*w. Let z(c) = -c - 1. Let l(i) = -3*o(i) + 8*z(i). What is the units digit of l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*sqrt(208) + (2*sqrt(208) + sqrt(208) + 0)**2)*5.\nAnswer: -120*sqrt(13) + 9375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063163?\nAnswer: 17, 62539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*l + l. Let d = 35 + 46. Calculate the highest common divisor of l and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-68) + (-39)\/12.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhrhhhhhhrrhrhhrrrrr. What is prob of picking 3 h?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**7\/525 - k**6\/150 + k**4\/30 - k**3\/15 - k**2 + 3. Let f(s) be the second derivative of o(s). Factor f(a).\nAnswer: 2*(a - 1)**3*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323370580.\nAnswer: 2, 5, 13, 227, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*h**3*q**2*r**2 + h**3*q*r**3 - 2*h**2*q**2*r**3 + 2*h**2*q**2*r + 3*h**2*r**2 + 3*q**2*r**3 wrt h?\nAnswer: -426*q**2*r**2 + 6*q*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 13*z**5\/60 - 3*z**2 - 55*z. Let h(q) = 190*q**2. Determine h(d(l)).\nAnswer: 32110*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**3 - 2*w**2 - 2*w + 2. Let f be j(2). Suppose o + 4*c = f, 2*o - 29 = -4*c - c. Solve t = o*n + n + 15, 10 = -n + 2*t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006508469 is divided by 2328.\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-2*171\/(-12))\/(-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -18, -52, -122, -240?\n\"Answer: -2*s**3 + 4*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -1\/14*c**3 + 0 + 0*c**2 - 19*c + 1\/28*c**4. Factor j(z).\nAnswer: 3*z*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 632 - 627. Solve -c*p - 15 = 0, 5*y - 11*p - 1 = -9*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 733143 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349997264 a multiple of 4578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4570000 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 709.8561 minutes in hours?\nAnswer: 11.830935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*(-5 + 6) - (-253)\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, o: 2, w: 1, j: 3, m: 1, q: 1}. Give prob of picking 2 o, 1 m, and 1 j.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -62295 plus -0.028?\nAnswer: -62295.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-1)*(-9 + (-590)\/(-60)). Solve -2 = -q, -y*m + 2 = -7*m - 4*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, c: 4}. Give prob of picking 3 d and 1 c.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 28694*m**2 + 86081*m + 14. What is y(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211, 425, 631, 823, 995, 1141, 1255, 1331?\nAnswer: 1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 + 16*i**2 + 4*i - 5. Let o be r(8). What is the greatest common factor of 351 and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 0.5, -2, -0.18, 3, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12737598 and 618?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31636*f**3*t**2 - 130*f**2*t**2 - 2*f**2*t - 9*f*t wrt f.\nAnswer: -189816*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6649 + -6614. Solve 12*f = 5*y + 7*f + h, -15 = -3*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73? (a) 110\/103 (b) -0.4 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 210673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1504716*-5.\nAnswer: -0.752358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1973970 (base 11) to base 8.\nAnswer: -14545232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(2*v + 90*v + 96*v)*(-2*v**3 + 0 + 0).\nAnswer: -376*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5, 17, 1\/19, 0, 2, -773\/4, -4?\nAnswer: -773\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125.7314 + 6.8224. Let i = l + 119. What is i rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*j, -2*j = -0*j + s - 5. Let y(o) = o**j - 2*o**2 - o**2. Let q(p) = -6*p. Let g(n) = -7*n. Let a(u) = -3*g(u) + 4*q(u). What is a(y(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -65. What is the least common multiple of m and (-19)\/(1064\/(-4)) - 55\/(-14)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15772619 to the nearest integer?\nAnswer: 3971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 22.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 397885\/104 or 3826?\nAnswer: 3826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/198628 and -113\/1478026.\nAnswer: 50252884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (924\/(-880))\/((-7)\/4)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4889189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 1043 - 1043.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 21*w**2 - w + 38. Is k(-9) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.206 (c) -4 (d) -2\/5 (e) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689630 greater than or equal to 1689632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-330258)\/12)\/(-19)*(2 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from {l: 1, p: 2, x: 2, w: 1, z: 1, y: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1c4 (base 15) to base 4\nAnswer: -12121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/840 and (-48 + -48)\/(-48) - 6\/(-64)*-23?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -27*s + 551. Calculate the remainder when 1072 is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -4. Let q = -41\/180 + 1\/36. Put q, r, -4 in decreasing order.\nAnswer: r, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 216 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 3 - -3) + 2. Suppose -g*l = -4*l - 4. Solve 5*n - l = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-62)*(-233)\/(370470\/(-477))\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 44174741 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 19*x + 3*m = -251, x - 276 = -2*m. Solve 265*p - x*p = 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - 5*q - 6. Let i be n(6). Suppose -3*s + 4*g - i = -6*s, 0 = s + 4*g - 32. Solve -6*o = -o + s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 3\/11, -15\/16, -2, 0.042?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1498 and 1926?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.01, 0.2, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 1 + 44. Let u = m - 13. Let d(i) = -i**3 - 2*i**2 + 4*i + 2. Let l be d(-3). Which is smaller: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 552 and 1748.\nAnswer: 10488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306)\/357 + (-9)\/(-7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 8*k + 20. Let o be d(4). Put -1, 1, o, 2 in descending order.\nAnswer: o, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 4 + 3 + q**3 + 8*q**2 + 4*q. Suppose 2*u = t - 9, 33*u + 2*t = 35*u + 4. Determine s(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 9*p + 12. Let s be i(10). Let c = -50 - -57. Suppose -s*j + j + c = 0. Sort j, 2, -1.\nAnswer: -1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/21*43*(-1036)\/(-15910). Factor -l*i**3 + 1\/5*i**5 - 3\/5*i**4 + 0 + 0*i**2 + 0*i.\nAnswer: i**3*(i - 4)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - a - 3*a = -33, -565*l + 4*a + 3*a - 48 = -568*l + 2*a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000418840.\nAnswer: 2, 5, 25010471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12735804 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -15*t + 3*k + 18, 5*t = -3*k + 24. Calculate the least common multiple of 171 and t.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 4, j: 10}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1204 - 4?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1 - 8 - (6 - 15)) + -27\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and -410304420 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10)*(-10)\/(-28))\/((-42)\/(-3024)*-4).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 763680 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 1, x: 12}. Give prob of sequence xxxt.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 9*a**2\/2 - 3*a + 124. What is d(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and -0.02.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*l - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 167, 314, 455, 590, 719, 842, 959?\n\"Answer: -3*a**2 + 156*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 394 + -391. Let r = -5 - -7. What is the first derivative of -2*g**r - 5*g**2 - f - g**2 wrt g?\nAnswer: -16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 5*q + 3*g - 14, -3*q + g + 6 = 0. Let b(j) be the first derivative of 2\/3*j**3 + 0*j + j**2 - q. What is the second derivative of b(c) wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 3*z**4\/4 - 25*z**3\/3 + z**2\/2 - 3*z - 1282. Let d(g) = -g**3 - g**2 + 1. Give -2*d(c) - j(c).\nAnswer: -c**3 + 27*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 15, 23?\n\"Answer: 8*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/3*(-39534)\/5990?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 5*z**2 + 8*z + 2. Let m(p) = -p - 13. Suppose 3*i + g + 24 = 0, 0 = -5*i + 3*g - 2*g - 32. Let j be m(i). What is l(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*h = -6*x + 225, -10 = 2*h. What is the third smallest value in 5, 2\/3, 2\/15, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3538871044 to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1 (c) 166 (d) -10 (e) -5923\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**14*o**(-9))\/(o**(-3))**(-3))**(-4\/13))**(-18\/11) assuming o is positive.\nAnswer: o**(-288\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.08, 2\/3, -15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -79*x**2 - 555*x - 2. Let u be l(-7). Solve 30*f - 26*f = u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 3. Let g be h(-3). Let v be 28\/(-2)*804\/(-2814). Solve 0*n - n - v = g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3 - 2*f + 9*f**2 + 8*f + f**2 - 9*f + 0. Let d be n(1). Solve d = -4*q - q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 177*l - 179*l - 5*o, -3*l = 2*o - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n. Let v(h) = -h. Let j(f) = -f**2 + 6*f. Let t(p) = j(p) + 6*v(p). Determine l(t(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k - 4, 3*v + 23 = -5*k. Let o(x) = -8*x + 59. What is the least common multiple of (-9)\/(-4) - v\/(-4) and o(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = -20*b + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 + 4*c**2 + c - 1. Let m be w(-1). Sort 39, m, -4 in decreasing order.\nAnswer: 39, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -939*y**2 - 296*y**2 + 478*y**2 - 17*y.\nAnswer: -757*y**2 - 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5014.1125 and -0.05.\nAnswer: 250.705625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*t = -340*t + 178*t - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5393 + 5394. Suppose 5 = p + 2. What is the closest to 5 in m, 1\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 17*x = -56 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/14970 and -1\/106287.\nAnswer: 1062870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 160*w**2 - 1425*w + 2250.\nAnswer: -5*(w - 15)**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -309 - -309.318. Let y = -0.26 + k. Let i = y - 0.0523. What is i rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13881 + -13883. Put 2, k, -5, -62 in descending order.\nAnswer: 2, k, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 339189914 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 105442 (base 10) to base 15\nAnswer: 21397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -235?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-22))\/((-24)\/264)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 9 = 0, 0 = v + 3*v - r + 2311. Let j = -345 - v. Suppose -5*g + g = 4*w - j, -w + 61 = -2*g. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, -2\/7, 2, 0, -1789 in ascending order.\nAnswer: -1789, -5, -2\/7, -0.2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 2703?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4666777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1364416 (base 7) in base 2?\nAnswer: -101100111011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, 0.4, 101, 0.9, 5, 1\/8 in descending order.\nAnswer: 101, 5, 0.9, 0.4, 0.17, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*p - 512 = 156*p - 89*p + 400 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1961944?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 561087?\nAnswer: -561103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 - -318. Is 63 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 - (-70)\/(-30). Sort -5, p, 2.\nAnswer: -5, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 46.\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -3*m**4\/2 - 107*m**3\/3 + m**2 + 632*m - 3. What is s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -124 + 21 + 26 + 30 + 10*b + 29 in the form v*b + j and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2024)\/55*1\/(-4) + -6 + -3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639.8593 nanograms to micrograms.\nAnswer: 0.6398593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 + 3*v + 3. Let m(t) = 2*t**3 + 2*t + 2. Suppose 0 = 2*z + s - 6, 3*z + 2*z - 2*s - 15 = 0. What is z*i(d) - 4*m(d)?\nAnswer: d**3 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.1 + -6.7. Sort 22, -0.1, f, 2 in decreasing order.\nAnswer: 22, 2, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/7, -1, 1 in ascending order.\nAnswer: -1, -1\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-34) - (-66120)\/493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16478 divided by 22\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 172003587 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 0, 472 in ascending order.\nAnswer: 0, 1, 5, 472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -116. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 118*i + 349. Give d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -294 equal to -447100\/1523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 + 122. Suppose i = 3*t - 9, -5*i - 5*t + 4 = -m. Solve i = -4*v - 4 + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 r when three letters picked without replacement from rrmmmmmrmrrrrmrrmm.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecc when three letters picked without replacement from {e: 10, c: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1001*w + 342*w = -694*w + 20217 + 36819 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5, 2*k = -5*o + 9*o + 260. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 276 - 27eb4?\nAnswer: -27c3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (52 + -24 - 41) + 21\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 0 + 0 + 1. Let f(u) = u + 5. Let l(d) = 4*d + 9. Let w(q) = -3*f(q) + l(q). Calculate 3*v(r) + w(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.72 - -15.34. Let x = y - 23. What is the second smallest value in 0.5, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 15*h**2 - 16*h + 14. Let s be x(-16). Suppose s*l - 9*l = 20. Suppose 2\/9*a**3 + 0 + 2\/9*a**5 + 4\/9*a**l + 0*a + 0*a**2 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/14 and 93\/4744?\nAnswer: 33208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542*q = -439*q. What is the second biggest value in 4\/7, -10, -1.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644548?\nAnswer: 2, 161137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8521 + -357727\/42. Let q = 3739\/390 - 225\/26. Calculate the common denominator of q and u.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37530 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 46496*a - 558048. Give o(-12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 41\/3 (c) 6 (d) 1\/110 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1923 is divided by 199?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 142639, 142646, 142655, 142666?\n\"Answer: n**2 + 4*n + 142634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(42\/(-14)*(-6)\/54)\/((-4)\/156)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -1\/21 (c) 1242342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 37 = 14*w. Let b(p) = -p + w + 4 - 16 + 6. Let m(l) = 6*l**3 + 1. Let z be m(-1). What is b(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*q = 4, 4*v + 25 = -q + 26 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 5:42 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-26))\/((-6)\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + z - 9. Let h be j(4). Suppose -5 - 10*o - h*o**3 + 10*o**4 + 21*o**3 - 5*o**4 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2528*p + 101067. What is w(-40)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6048 rounded to two dps?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 14 = -6*z. Calculate the least common multiple of z and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152084449, 152084450, 152084451, 152084452?\nAnswer: 152084453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 403454 or 403453?\nAnswer: 403453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3177*g - 1245*g + 2778*g + 97*g + 10 + 157*g.\nAnswer: 4964*g + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173808 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 662.7208 - 663. Let g = -0.322 - n. Round g to 3 dps.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 554 and 648950891.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**4 + 53*k**3 + 3*k**2 + 6.\nAnswer: -96*k + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111.4 + -111.2. Put 0.04, q, -0.3 in descending order.\nAnswer: q, 0.04, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17\/4, -0.12, -4, -6\/7, 85?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 8 = -f. Let a be (8\/5)\/(f\/100). Let l = -235 + 265. Calculate the greatest common divisor of a and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -6, -9, -4, 8 in ascending order.\nAnswer: -40, -9, -6, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -109496, -109510, -109524, -109538, -109552?\n\"Answer: -14*q - 109482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -370181 or -370070?\nAnswer: -370070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgwgswnsegg. Give prob of picking 1 s and 2 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 670236 and 87927.\nAnswer: 35522508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1483282 - -2?\nAnswer: 1483284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1310*w**2 - 1061*w**4 - 1310*w**2 - 648*w + 293*w**4 wrt w.\nAnswer: -9216*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2014)\/285)\/(84\/630).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792 = 13*g + 131. Suppose 0 = -x - x - 98. Let t = x - g. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -17*s + 854. Calculate l(53).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43, -94, -159, -244, -355, -498, -679?\n\"Answer: -l**3 - l**2 - 41*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100246379, -200492760, -300739145, -400985534, -501231927, -601478324?\nAnswer: -701724725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.083978 times -0.28?\nAnswer: -0.02351384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 51, 4, 6.91?\nAnswer: 6.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/3))**(-31\/4)*h*h**(2\/17)\/h*h**6*h)**17 assuming h is positive.\nAnswer: h**(-164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79772700 divided by -150.\nAnswer: 531818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -10*l**2. Let s(r) = 769*r. Let t(d) = -471*d. Let z(m) = -2*s(m) - 5*t(m). Give z(i(o)).\nAnswer: -8170*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + (-30)\/(-16) + -3 and 99\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.93*0.1\nAnswer: 0.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*m*u**3*y**2 + 2*m*u**3*y - 33*m*u**2*y - 4*m*u*y**2 - 3*u*y**2 wrt u?\nAnswer: -534*m*y**2 + 12*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - 3*(2*sqrt(77) + sqrt(77) - sqrt(77)))*-4)\/(sqrt(343) - (2*sqrt(343) + sqrt(343) + sqrt(343) + sqrt(343))*-3))**2.\nAnswer: 275\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*o = -102 + 782. What is the remainder when 213 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4740?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = 2. Let z be (-5)\/(165\/88) + 112\/24. Solve 4 = -h*j - j - w, -w - z = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 5*z - 12. What is the least common multiple of x(-8) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8356, -8334, -8264, -8116, -7860, -7466, -6904, -6144?\nAnswer: -5156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11232 and 274131?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*j - 7*j**3 - 29*j + 14*j + 2*j**4 to the form q*j**4 + h*j**3 + x + a*j**2 + l*j and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.07, -3, -4\/7, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 12 - 4) + -6 + -28 + 27?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 + (-2576)\/42. Let k = 128 + q. Is k a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 502*c*t**2 - 66*c*t - c + t wrt t?\nAnswer: 1004*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueupuuuupugygu. What is prob of picking 1 p and 1 g?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 6 + 22 = 0. Suppose 2*f - 95 = -3*b, b = 2*f + 3*b - 92. Suppose a + w*v = 2*a + 4, -3*a + v = -f. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 42157a0b - -2?\nAnswer: 42157a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 122332 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(-304)\/(-80) + 1 + -3. Let c be (-8)\/76 - b\/((-1292)\/16). Solve -c*p**2 - 18\/19 - 12\/19*p = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2399 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-198)\/12))\/(16\/(-98))*(-3)\/(-21).\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 2*u + 7. Let f be d(0). Let h(z) = -8*z + 14. Let s(v) = 7*v - 13. Let b(w) = f*s(w) + 6*h(w). Give b(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00056048127 to 5 decimal places.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4738 and 863558.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.148279 and 0.3.\nAnswer: 0.0444837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342611?\nAnswer: 397, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.551 - 0.151. Which is the nearest to -3? (a) -1\/5 (b) 6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(3\/8)*s**(-2)\/s*(((s*s**5)\/s)\/s)\/(s*s*s**(-5\/4)) assuming s is positive.\nAnswer: s**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 + 0 = 0. Let b = 30 + -27. Let r be 31\/(-11) + 1*b. What is the biggest value in 0.2, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45258, 42003, 38748?\n\"Answer: -3255*i + 48513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**3\/2 + 954981*c**2\/2 + 75911603085*c\/2 - 13923823108725\/2 = 0.\nAnswer: -159255, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 23*x**5\/60 - 2*x**3 - 9*x**2. What is the derivative of j(s) wrt s?\nAnswer: 46*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17077, 67796, 152293, 270568, 422621, 608452, 828061?\n\"Answer: 16889*u**2 + 52*u + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 12, k + 12 = -4*p - 0*p. Suppose k*y + 5 = 5*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.446 + -5.446. What is the nearest to 1 in v, 6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004183 rounded to 5 decimal places?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n + 23. Let c = 24 - 29. Let s be y(c). Suppose 2*v - s*v = 2, 22 = 4*g - v. Solve -r = 3*d + g - 2, -2 = 2*d - 5*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u - 6. Suppose 4*m = h - 18, -3*h = 3*m + m + u. Let t = 6 + -11. Which is the second biggest value? (a) h (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -769 = -8*y + 1623. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787167?\nAnswer: 3, 149, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.1473528 - 107100177.1473528. Let o = -107100155.59999926 - j. Let c = o + -2.4. What is c rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 2. Let w be i(-5). Suppose -w*v = 6, -m - 3*v = m - 44. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1744 + 6975\/4. Let q = 0.4 - 0.3. Let d = -4.8 + -0.2. What is the third biggest value in d, r, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -83984?\nAnswer: -83983.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 - 80 = g, -3*q + 18 = 4*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 2:18 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37930 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 d when three letters picked without replacement from jgjdjaatjaaj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-63162)\/(-45) - (-4)\/10. Suppose -6*l = 7*l - t. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -1. Let n = -2 - -5. Suppose 5*r - 17 = -2*y, 4*y + 19 = n*r + 3*y. Solve 0 = 2*b - 4*o, -23 = k*b + r*o - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 2. Let p be h(-7). Let f be (p\/(-45))\/(4\/30). Which is the closest to 1? (a) 0.3 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4042 (base 8) to base 2\nAnswer: 100000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19 - (212 + 13)\/15. Solve 0 = -r*o - 17 + 1, 3*o = -3*s - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3895 and 5330.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 + 3*v + 30. Let j(u) = -9*u**2 + 7*u + 70. Let o(p) = -9*j(p) + 21*y(p). Let g(d) = -141*d - 2. What is o(g(q))?\nAnswer: -59643*q**2 - 1692*q - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61 - 66 + g**3 + 5*g**3 + (3*g**2 - 2*g**2 - 2*g**2)*(2 - 2 - 4*g).\nAnswer: 10*g**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/60 - a**3\/6 - 5*a**2. Calculate r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379556533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -26 times 0.511\nAnswer: -13.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795559255.\nAnswer: 5, 61, 181, 14411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 12*d - 5*j - 4430 = 0, -j = d - 888. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o - 8. Let u = -0.08 + 3.08. Let z = -3.4 + u. Sort z, 1\/5, o in descending order.\nAnswer: 1\/5, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0) + (1 - (1 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -244 + 243.999998087. Round r to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/10 + (-10)\/(-25). Suppose u - 3*n = -h*n + 3, 0 = -3*u - 4*n - 4. Let t = u - -4. Solve -12 = t*d - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**5\/20 - r**4\/2 - 2*r**3\/3 - 3*r**2 + 3*r. Let x be c(7). Solve -u + 4*s = x, 0 = u - 4*s + 3*s + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)*v)**10*(v*v*v**(2\/15))\/((v**2*v)\/v) assuming v is positive.\nAnswer: v**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 10:59 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -791 greater than or equal to -789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1090, -3958, -8674, -15190, -23458?\nAnswer: -33430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*v**4 - 1380*v**3 + 17010*v**2 - 85995*v + 138915.\nAnswer: 5*(v - 3)*(2*v - 21)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-1) + 0)\/(-1). Let v(y) = -3*y**3 + 2*y**2 - 85. Let k(g) = 2*g**3 - g**2 + 86. Let i(z) = 4*k(z) + 3*v(z). Is i(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) 17 (c) -759 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = 257 - 497. Solve -13*m + v = -8*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**4 + 0*c**4 + 2*c**4 + (c**2 - 3*c**2 + 2 - c**2)*(3*c**2 - 2*c**2 - 3*c**2) as h*c**4 + q*c**3 + r*c + y*c**2 + x and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146*t**3 - t**2 + t + 100 wrt t.\nAnswer: 876*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 23*n**2 - 6*n. Let r(o) = o**2 - o. Let k be ((-9)\/2)\/(-3*(-6)\/(-24)). Calculate k*r(v) - q(v).\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*(sqrt(448) + 0 - (-4 + sqrt(28))) - (sqrt(343)*2 - sqrt(175)*3)) + -1)**2.\nAnswer: 132*sqrt(7) + 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 38787?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**6\/60 - 7*k**5\/150 - k**4\/30 + 41*k**2. Find w, given that g(w) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668 = -87*n + 28 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a**2 + 34371*a + 62. Let q(l) = l**2 + 4296*l + 8. Give -31*q(d) + 4*v(d).\nAnswer: d**2 + 4308*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 21*i**2 + 72. Let q(r) = -17*r + 9*r - r**2 + 7*r + r. Calculate q(g(u)).\nAnswer: -441*u**4 - 3024*u**2 - 5184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/25 - ((-329)\/(-35) + -10). Solve -32*y + 27*y - 20 = -5*m, 4*m - 8 = r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 982*a**3 - 983*a**3 + 1657*a - 2190*a in the form h*a + i*a**2 + x*a**3 + u and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -449*z**4 - 4*z**3 + 2*z**2 + 51195 wrt z?\nAnswer: -1796*z**3 - 12*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19791 or 103?\nAnswer: 19791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 16*i**2 + 15*i + 10. Let j(b) = 2*b + 5*b - 3*b**2 + 12*b**2 + 19*b**3 + 16*b**3 - 36*b**3 - 48. Let s be j(9). What is o(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3*-41368.\nAnswer: -95146.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 4*f - f + 3*f as q + s*f and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x - 2*x)*(-2 + 2 - 2) - 603*x + 448*x - 827*x.\nAnswer: -970*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 0 - 5\/12*h**4 + 7\/2*h**2 + 5\/6*h**3 + 8*h. Let l(m) = m**2 - m + 1. Let i(u) = l(u) + z(u). Let i(y) = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.4779175 rounded to zero decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 27*q**2 + 2*q - 1. Let d be v(1). Suppose 12*f = 22*f + 31*f. Is d smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17135 and 20815?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 418, -2 in ascending order.\nAnswer: -27, -2, 418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 6*g**2 - 110*g + 25. What is d(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.864353 to two dps.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwew when four letters picked without replacement from {o: 2, d: 3, w: 3, e: 7}?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 0, -h + 1052 + 957 = -3*w. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 23 = -b - 3*r, 2*b - 2*r = -22. Let c = b + 12. Let v be (-13)\/(-3) + 1\/(-3). What is the greatest common factor of v and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -569922 divided by 3?\nAnswer: -189974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 36496\/435 and 85 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 152*f**6\/3 + f**4\/4 - 31*f**3\/3 + 4*f - 425. What is the third derivative of l(i) wrt i?\nAnswer: 18240*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/20)\/((-1)\/60). Let t = s + -20. Solve 3*v - 4 = t*c + 1, 13 = -4*c - 5*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2436, -2493, -2544, -2589, -2628?\nAnswer: -2661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 6*x + 1. Let z be m(4). Let s(w) = 13*w**2 - 2*w**3 + 7 + 0*w + 3*w - w. Let l be s(z). What is l rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2, -1\/13, -2\/15.\nAnswer: -2, -2\/15, -1\/13, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -4. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*z + 36*z - 230. Let b(d) = 10 - d**2 - 9*d - 2 + 9. Calculate the remainder when z is divided by b(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**2\/2 + 12906810*w + 16658574437610 = 0. What is w?\nAnswer: -2581362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -274496 or -274498?\nAnswer: -274498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951 is divided by 193.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4103 = 226*z - 531 + 2530 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-10) + (-826)\/(-35). Let u = k + -28. Let x = u - -6. Let z(d) = -1. Let f(m) = -4*m + 4. What is x*f(a) + 3*z(a)?\nAnswer: -4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-20))\/(2\/(-56)). Suppose 11*z - w*z = -24. Calculate the remainder when 4\/(-6) + (-186)\/(-9) is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + p = 0, p = 5*p. Suppose -4*o + 2*o - 16 = h. Let d = -5 - o. Solve l = d*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34.6 - -35. Let l(k) = -k**3 + 5*k**2 + 5*k + 3. Let d be l(6). Put d, i, -2 in increasing order.\nAnswer: d, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f + 68. Suppose -f = -u + 27. Let z be (-1)\/(-4) - (-255189)\/u. What is z rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f**5 - 28*f**4 + 52*f**3 - 30*f**2 - 9*f + 10. Let o(v) = -v**5 - v**3 + v**2 + v - 1. Let t(z) = -i(z) - 4*o(z). Find q such that t(q) = 0.\nAnswer: -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16295983 is divided by 3323?\nAnswer: 3314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418 and 512639171.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999 is divided by 471.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2\/7 - 105200*z\/7 = 0. Calculate z.\nAnswer: 0, 26300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 57 - 201. Is l != 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = 1568 - 418. Which is smaller: -41 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + 6432505?\nAnswer: 6432455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 3*q + 2*g, 5*q - 45 = 169*g - 174*g for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -577*c + 42. Is r(-23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 97.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 61699 * 2\nAnswer: 123398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -68 (c) -54 (d) 3 (e) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*q**2 + 1051 - 2040 + 982.\nAnswer: 24*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 658335 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13363\/10 - -1335. Let a = n - -41\/20. What is the second biggest value in a, 3\/2, -6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159137769 divided by 3?\nAnswer: 53045923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.77325 rounded to two dps?\nAnswer: 74.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 141?\nAnswer: 5\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.264961ml?\nAnswer: 0.008264961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2\/7 + 394*n\/7 = 0?\nAnswer: 0, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 12 + 5 - 1 - 2*f + 3*f**3 + 63*f**4 - 18 - 61*f**4 as p*f**3 + b*f**2 + x*f + y + a*f**4 and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7040 divided by -4?\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2471652 and 3295536?\nAnswer: 9886608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - 0) + (-1 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.446 - -0.467. What is u rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 227\/277587?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95766?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 16 = 3*c. Let x be (27\/(-4))\/((-3)\/(-24)). Calculate the common denominator of (-51)\/x + c\/18 and 17\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/10 - (-32)\/(-80). Let g = 21.5 - 22. Suppose -2*w + 12 = 2*w. Which is the closest to -1? (a) g (b) w (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 305227 + -157558. Suppose -2*m + 122331 = -w. What is m rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, o: 6, k: 4}. What is prob of sequence ootk?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2 + 1374*d\/7 + 585\/7 = 0.\nAnswer: -65, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 - b**4 - b**5 - 2*b**5 + 0*b + 0*b + (44*b**4 + 61*b**4 + 16*b**4)*(-2*b + 0*b + 3*b))*(-5 + 4 - 1).\nAnswer: -236*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115280 and 7205?\nAnswer: 115280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3678169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 26 = -12*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvuzzhv. Give prob of picking 1 z and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**5\/20 + 11*x**4\/12 + 7*x**3\/6 - x**2 + 3*x. Calculate the remainder when j(-10) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2. Let k(l) = -l + 133. Give k(p(o)).\nAnswer: 4*o**2 + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2422?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 17. Suppose 0 = -3*n - 2*n + q, -d + 848 = -2*n. Suppose -d = -5*u - u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b - 7*b = -41*b + 702 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t - 12*t - 14 - 5 + 14*t. Let p = 29 - 23. Let w(o) be the second derivative of -o**3\/6 - 5*o**2 - 33*o - 2. What is p*n(l) - 11*w(l)?\nAnswer: -l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 15423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11444121?\nAnswer: 3, 13, 97813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -330 + 14214131?\nAnswer: 14213301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 810, 2669, 6292, 12267, 21182, 33625, 50184?\nAnswer: 71447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 23, 44, 85, 152, 251, 388?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1596118 to 2 decimal places.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.82 - -14. Let x = -44196 + 44195.82007. Let l = p + x. Round l to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-155 - -180) + 8 + -73?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -172.90874 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31414, 31489, 31564, 31639, 31714?\n\"Answer: 75*p + 31339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 10*t**2 + 5*t + 27. Let z be g(-5). Solve -2 = 2*j - j - z*x, -1 = -3*j - x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1400 divided by 350?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 217*r**3 - 1852*r**3 + 5.\nAnswer: -2069*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 38 = -2*t - 45, -5*m + 121 = -4*t. Let x be (-1)\/(-2) - 85\/t. Suppose -4*f - 4*z = 4, f = x*f - z + 8. Let r(o) = 2*o**2 + o - 2. What is r(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 4*v - 19*r + 55, 5*r = 3*v - 31. What is the lowest common multiple of 699 and v?\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*v**4 - 30*v**3 - 3*v**2 - 5*v + 1 wrt v?\nAnswer: -216*v**2 - 180*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -207 - -211. Let v(k) = 2*k**2 - 5*k + 3. Calculate the lowest common multiple of 6 and v(i).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 6 - 434011*m**2 - 12 - 434018*m**2 - 4 + 868031*m**2.\nAnswer: 2*m**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13 and 4065020?\nAnswer: 4065007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - -1 - 1) + -10. Let b be (2\/8)\/((-1)\/d). Suppose -5 = -3*z + 1. Solve l + 6 = b*w + z*l, l = -2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 146 + 16. Let a = k - 97. List the prime factors of a.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-22)*35\/(980\/(-21))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 940 + -945.83. Let o = -0.83 - d. What is the closest to -40 in o, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c**2 + 3 + 0*c + 0*c - 4. What is m(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 2, 27672, 3, 0 in descending order.\nAnswer: 27672, 10, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 1 (b) -3\/8 (c) 0.1 (d) 0 (e) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31710 and 10570?\nAnswer: 31710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5*h - 6 = 0, -38*h + 33*h + 32 = -7*n + 28 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fojd when four letters picked without replacement from dfdjffo.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r + 5. Let t(n) = 278*n + 42. Let g(a) = 87*a + 14. Let v(l) = -13*g(l) + 4*t(l). Determine -7*d(c) - 2*v(c).\nAnswer: -4*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6) + 4\/(-6). Let j be (9*(-8)\/(-2016))\/(-2). Is j bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 216310286*l**4 - 103100*l**2 - 383.\nAnswer: 5191446864*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -504.4 + 440. Let z = 16.7 + c. Let f = -47 - z. What is f rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*n + 2460, 3*d + n - 382 = 6968. Let m = d + -1562. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 12*u = -258. Suppose -3*x + 41 = -7. Calculate the remainder when u is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*m + 13, 8*d = 3*d - 20. What is the highest common factor of m and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.32 and 0.414282.\nAnswer: -0.13257024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1933 + 1933.2925. Round k to two dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -180, -156, -110, -36, 72, 220, 414, 660?\n\"Answer: f**3 + 5*f**2 + 2*f - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5375 + 1091*q**4 + 882*q**4 + 11*q**2 + 38*q**2 + 29*q**2 - 5380 wrt q?\nAnswer: 47352*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22442848*t**2 - 3936489?\nAnswer: -44885696*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 23. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.3. Let i = -0.22 - 0.08. Let q = i + h. Is -0.1 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1.33 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.55 + -11.527. Let v = r + -0.023. Which is the closest to v? (a) 2 (b) -0.5 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 11*z - 29. Let h be n(-13). Sort 1, h, -5 in increasing order.\nAnswer: -5, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.41 + -0.09. Let j = -4.05 + 0.05. What is the biggest value in -0.3, j, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3 - 26 + 54*m**2 + 23 - 38*m**2. Let o(v) = -8*v**2 - 9. What is i(o(z))?\nAnswer: 1024*z**4 + 2304*z**2 + 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89.3 + 89.26195. Let z = t + 0.038. Round z to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1060\/(-7420) + 34\/42)\/(-1 + (-49)\/(-45))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 2. Let v be (0 + 0)\/(-4 + 6). Let a be u(v). Solve 3*w - w + a = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a hour in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*(5 + (sqrt(396) - (sqrt(396) + 2))**2 + 5).\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*(-24)\/(-36). Let x(i) = 20*i**2 - 1. Suppose 2*h - 3*h + 5*s + 16 = 0, 0 = 4*h + s - 43. What is the remainder when x(m) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8736003 to the power of 1\/2, to the nearest integer?\nAnswer: 2956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-72)\/(-32) - (-2)\/(-8). Let j(f) = -f + 4. Let z be j(4). Find the third derivative of t*b**2 - b**2 - 3*b**5 + z*b**2 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n + 1210. Let u be d(0). Suppose 5*h + 335 = u. Let g be (-10)\/(-6)*(-14)\/h*-15. Solve -g*j - 3*k - 2*k + 23 = 0, 0 = 3*j - 4*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + y - 291 = 6*y, 190 = 2*a - 2*y. Let r = a + -88. Suppose 6*f - f = 25. Solve -f*c = -2*k + 5*k - 6, 5*c = -2*k + r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101 + -10101?\nAnswer: 10110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12)*(22\/14 + -2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.50722 millimeters to meters.\nAnswer: 0.04750722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*z + 42347 = 357*z for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - (2 + (2*sqrt(180))**2)) + sqrt(180).\nAnswer: -722 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s - 49 + 27 + 20. What is the remainder when 52 is divided by q(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1288 and 728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.0908 to 2 decimal places.\nAnswer: 25.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 4*p**2 + 4*p - 13. Let o = -48 - -54. Let m be g(o). Let y = -59 - m. Which is smaller: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 4*h - h)*(3 + 2 - 6) + (h + 1 - 1)*(1 - 3 - 5).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 37622\/598 + -45 - (-4)\/138*3\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugu when three letters picked without replacement from guuggu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1623072)\/(-16896) - (4 - -93).\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.41 + -13.41. Let x = -13.1 - u. Is -3 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2 - 461*b + 1096. Let q be a(-156). Solve 5*c + 32 = -q*l, 2*l = -0*l - 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -534*k**3 - 7418*k**2 + 2751506*k.\nAnswer: -3204*k - 14836","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3380 and 1\/2456922.\nAnswer: 24569220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*p - 10*p + p**3 - 31*p - 2*p**2 to r*p + c*p**2 + t*p**3 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19007377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -9*b + 600. Let p(k) = 5*k**2 + 4*k + 7. What is the least common multiple of p(-3) and b?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/2)\/1 - (-838)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3743000 rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 928 and 162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2805847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -5, -4, 67\/4, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n - 18. Suppose 5*r - 10*r - 50 = 0. Let t be k(r). Suppose -12*p = -8*p - t. Solve a = -5*j, 3*j - p*j = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 686 divided by 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 136, 452, 976, 1708, 2648, 3796, 5152?\n\"Answer: 104*k**2 + 4*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 610405 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 54 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 4. Let l(n) = n + 4. Let y be l(z). Suppose -4*j = 13 - y. Which is smaller: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7990 - 1a?\nAnswer: -79aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -985*h**4 - 35*h**2 - 4*h wrt h.\nAnswer: -23640*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.206 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 13 = 5*d - 0, -3*u + 2*d - 3 = 0. Let s(k) = 2*k**2 - 1. Let o be s(u). Suppose 5*n = 4*a - 4 - 5, -3*n - o = 2*a. Solve 4*y - a = 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 808865954 less than -346.96?\nAnswer: -808866300.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -24, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1271041519 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 173*x + 1024127 = 178*x, -5*w + 3*x = -1706969. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2751*z**2 - 5*z - 19307.\nAnswer: -5502*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 1) + 6 + -22 + 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 7*p = -63*h + 69, -87*h - 9 = -90*h - 3*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -11*l**2\/2 - 472. Let h(x) = 22*x. What is 5*a(b) + 3*h(b)?\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/12*-1*(-1)\/(-7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73123 - 43976. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10276\/9 + -1142. Put 0.5, o, -1\/3, -1 in decreasing order.\nAnswer: 0.5, o, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.671873 from -4.49.\nAnswer: -7.161873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 3*r - 3. Let d be g(4). Let y be (3\/(-2))\/(24\/(-32)). Let o(p) = -4*p**y + 9*p**2 + p - 2*p**2. Calculate o(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -120*k**2 + 9626*k*v**3 - 3148*v**3 - v**2 - 6*v + 1 wrt k?\nAnswer: -240*k + 9626*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1231 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -25. Is (2 - p) + -5 + 54 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/128 and 89\/96.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7 (b) 0.86 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - 5*(0 + sqrt(5) + sqrt(5))) + 3)**2.\nAnswer: -54*sqrt(5) + 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -287? (a) -1 (b) 5 (c) 155\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*z - z**2 + 2 + 25*z + 14*z to the form t*z**2 + q*z + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 20 = -2*s, 6*b - 10*b - 5*s = -33 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(0 + (-3)\/2). Suppose -4*r = 17 - 57. Suppose r*y = 2*y + 4*y. Put y, v, 1 in decreasing order.\nAnswer: v, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 699.9 + -700. Let l = 2415\/19 + -127. Which is the second smallest value? (a) l (b) x (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**5\/23 - 106*g**4\/23 + 1626*g**3\/23 + 2666*g**2\/23 + 50*g\/23 - 888\/23 = 0.\nAnswer: -37, -1, 1\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (7 - -1) + (18 - 28) + 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 31*w**2 + 113*w + 111. What is c(-28)?\nAnswer: -701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 91 (base 12) to base 7\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1822446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w = -300. Suppose -d = -5*d + w. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4 + 60*i**3 + 127*i?\nAnswer: -24*i**2 + 360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32243357 less than -2893.32?\nAnswer: -32246250.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4210 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkk when three letters picked without replacement from {y: 3, c: 2, k: 4, h: 2, d: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3*5\/(-75)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 + 168*d**2 + 172*d - 133. What is s(57)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 8. Let t = 17 - h. Calculate the remainder when 8 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-15)\/(-10)*2 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87*y**3 + 37*y - 22.\nAnswer: 522*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-15) + 207\/(-15). Let p = y - -22. Suppose 4*r = -w + 6, -4*w - w + 2*r + p = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 186, -3, 75, -1\/12 in descending order.\nAnswer: 186, 75, -1\/12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4337 divided by -80.\nAnswer: 4337\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 273521661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/17733 and -61\/132?\nAnswer: 780252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p - 39*p + 4 = 0. Put -0.3, -1\/6, p in descending order.\nAnswer: p, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 31*x - 245 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/f**16))\/f)\/f**15)**40 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-15))\/(2\/50). Suppose -5*t + 80 = b, -6*b + 12 + 216 = 2*t. What is the greatest common divisor of v and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(14)*2 + (sqrt(504) + sqrt(14))*-1)\/(sqrt(160)\/sqrt(5) - (-3*sqrt(2)*-2 - sqrt(2))).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 7 - 12)*(-1 + 3 - 4)*(3*d - d - d).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 6 = 10*f. Suppose -4*t = -4*y, -y - t + 0 = -8. Calculate the remainder when 8 is divided by (f\/5)\/(y\/(-60)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19798 = -5*i + 5*o - 1953, 5*i = -2*o + 17838. Let d = i + -913409\/256. Let w = -237\/4864 + d. Is 0 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1288 or 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 14, q: 4}. Give prob of sequence www.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -37*v - 4. Let u be a(-2). Let g = -72 + u. Let t(r) be the second derivative of r**5\/20 + r**4\/6 - r**3\/2 - r**2\/2 + 11*r. Determine t(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10571476 to the nearest integer?\nAnswer: 3251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 339\/2 - 2027\/12. Let y(o) be the second derivative of 0 + 0*o**3 - z*o**4 + 3*o - 3\/2*o**2. What is the first derivative of y(k) wrt k?\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5984388 or -5984383?\nAnswer: -5984383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61284168 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0341652*0.1.\nAnswer: 0.00341652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3814099 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 2, g: 4}. Give prob of picking 1 v and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**4*v - 2*n**4 - 2*n**2*v + v + 1059 with respect to n.\nAnswer: 12*n**3*v - 8*n**3 - 4*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, -2\/13, 1\/5, 4.\nAnswer: -2\/13, 1\/5, 1.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(-1 + 10\/(-8)). Find the common denominator of (-1)\/(-5) - (-1436)\/(-280) and d\/(-15)*(-146)\/(-12).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from waxxhxi. What is prob of picking 2 x, 1 i, and 1 h?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 1. Let s be 35\/((-16100)\/(-40)) - 42\/(-46). Let r(l) = -2*l**3 + 10*l**2 - 2*l - 2. What is s*r(j) - 2*d(j)?\nAnswer: -2*j**3 + 8*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -17. Let z = -7.4 + m. Let v = -6 + 5. What is the nearest to v in z, -0.2, 2\/23?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, s: 1, g: 1, k: 3, f: 2}. What is prob of sequence ww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 21*a - 5. Let v be j(19). Let f = -31 - v. Is 16 a factor of -1 - (-27*f)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 - -0.01. Which is the nearest to t? (a) -4 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + -162555?\nAnswer: -162613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75926249 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 5, 16, 43, 92, 169, 280, 431?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 82*u**2 + 81*u + 162. Calculate q(83).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1652234 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 132.67.\nAnswer: 136.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - 30350\/(-675) - (-1)\/27.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 2*p**2 + p + 1. Let f be g(2). Let h be (2\/f)\/(9\/54). Suppose d - 4*l = 39, 74 = d + h*l - l. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f + 3. What is the units digit of 9\/(-27) - 290\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1105*o**2 + 4253*o + 7. Give c(4).\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9347 = -612*j + 9625 + 6120 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 - 7*c - 9. Let b(d) be the second derivative of -d**4\/6 + d**3\/2 + 2*d**2 - 478*d. What is 14*b(h) + 6*l(h)?\nAnswer: -4*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 12:52 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 2*f**2 + 2*f + 14. Let p be a(0). Let l be ((-30)\/(-9) - 2)\/(p\/231). Let m = l - 2. Solve -2*u - m = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**11)**(2\/19))**14 assuming w is positive.\nAnswer: w**(308\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2190, 4458, 6726, 8994, 11262, 13530?\n\"Answer: 2268*x - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**4 + 2*c**2 - 2*c**2)*(9*c - 19*c + 4*c) + c**5 - 4*c**5 + 2*c**5 + (-c**3 + 0*c**3 + 3*c**3)*(3*c**2 + c**2 - 2*c**2).\nAnswer: -15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + -5 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -10. Suppose w - 2 = -0*w. What is the remainder when c is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4 - 5 + 10 + 3 + 2*r. Give c(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/35*(-50)\/10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -31. Solve 5*a - 4*j = n, -2*j - 35 = 5*a + j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*o**2 + 9*o**2 + 3*o**2)*(-150 - 12*o + 150) + 1 - 1 + 2*o**3 + (3*o**2 - o**2 - o**2)*(2*o - 2*o - o) - o**3 - 6*o**3 + 3*o**3.\nAnswer: -579*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3150851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**9\/11340 + c**8\/840 + c**7\/210 + 5*c**4\/6 - 16*c. Let s(n) be the third derivative of j(n). Factor s(m).\nAnswer: 4*m**2*(m + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(1 - 2\/1). Suppose 3*f + 2*f - 105 = k. Let a = 2 + 5. Calculate the greatest common divisor of f and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, r: 5, t: 3, u: 1}. Give prob of picking 1 u and 2 t.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13955 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-697 + 42*q + 219 - 41*q)*(-189 + 100*q - 193 + 384) to o + x*q + u*q**2 and give o.\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5953213\/87 + -68427. Find the common denominator of 79\/2958 and n.\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 3*m - 6. Let d be b(5). Suppose h + h = d. Factor 0*y**4 - h*y**4 - 4*y**2 + 5*y**3 + y**3.\nAnswer: -2*y**2*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2 - 14*n - 26. Let t(s) = s**2 + 3*s + 5. Let v(r) = 2*o(r) + 11*t(r). Let g(u) = u**3 + 10*u**2 + 19*u + 20. Let d be g(-8). Give v(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*j = 8, -j = 3*c - 3*j + 2. Suppose -c*b - 28 = -4*b. Calculate the highest common divisor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*f - 12. Suppose 13 - f = h. Solve -4*t + h*t - 2*a - 2 = 0, -t + 2*a = -8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, l: 4, m: 2, w: 6, o: 2, s: 2}. What is prob of sequence ws?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-nine fifths of a millisecond?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 468 and 14?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -2. Suppose 0*y = n*s + y - 24, -3*y = -s - 7. Suppose 3 = 2*d - 1. Solve -3*t = s*q + d - 13, -q = -t - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468826.\nAnswer: 2, 17, 13789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5202 times -0.3\nAnswer: 1560.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0111 - 12.0111. Let o = -358 - -361. Sort 4, 3\/7, o, y in decreasing order.\nAnswer: 4, o, 3\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*g - j + 6*j, 3*j = 5*g - 3. Let p(a) = -a + 2. Let t(w) = -2*w + 2. Let b(s) = g*p(s) - 2*t(s). Find the first derivative of b(o) wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 8*c + 8. What is j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001000001000 (base 2) in base 14?\nAnswer: -3264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2.94. Let g = s - -2.94. Let i = g - 4. What is the nearest to i in 3, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.8, -40, -4, 2, -2, 0.5, -9?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2182\/13 - 168. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82165\/4 + 20541. Let n be (6\/(-4))\/((-6)\/8). Which is the nearest to 0.1? (a) -8 (b) n (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -661*j - 766*j - 74204 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47 or -32365\/692?\nAnswer: -32365\/692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.227 + 0.2237. Round p to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 23 = -9*x - 3*v, x - 5*v + 1 = 0. Suppose 0*l + l = -x. Let i be 308\/(-98) + (15\/(-21))\/(-5). Put -2, l, i in decreasing order.\nAnswer: -2, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 + 3. Let w be l(-3). Let m = -41 + w. Let u be 7 + 3\/(m + 1). Calculate the greatest common divisor of u and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9292077?\nAnswer: 3, 38239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*k + 4*q, 3*q + 2 = -0*k + 5*k. Let b(j) = 25*j**2 + 9*j. Let h(m) = -7837*m + 7835*m - 6*m**2 + 0 + 2 - 2. Calculate k*b(i) - 9*h(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11 - 3960\/(-350) - 9\/15. Which is the smallest value? (a) n (b) -1\/8 (c) -5.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1141559.\nAnswer: 4\/1141559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 316194, 316209, 316234, 316269, 316314, 316369, 316434?\nAnswer: 316509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**3 + 2*d**2 - 2*d. Let v be q(1). Suppose -5*h = -t - 218, -3*h - 5*t + v*t + 136 = 0. What is the greatest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, b: 4}. What is prob of picking 3 b and 1 j?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, r: 15}. Give prob of sequence urr.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 616715*p**3 + 2467140*p**2 + 2467980*p + 1120.\nAnswer: 5*(p + 2)**2*(123343*p + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*i - 79, 228 = -6*f + 9*f + 3*i. Suppose -163 - 35 = -2*y. What is the greatest common factor of f and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30396, 9, 3, 2 in descending order.\nAnswer: 9, 3, 2, -30396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*y = 3*k - 8, -4*y = -2*k + 4. Let m be 3\/12*2*(2 - k). Solve m = -3*v - 3*r - 3, -1 = 4*v + 2*r + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/5)\/((-2)\/(-10)). Suppose i*p - 28 = -0*p. Calculate the remainder when p is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r = 2*g - 34, g = -132*r + 131*r + 16 + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 320 - 275. Suppose 0 = 81*h - 90*h + a. Solve 2*n + 2*y - 4 = 0, 0 = -h*n - 4*y + 2 + 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -531423.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*b - 4*i, -4*i - 13 = -4*b - 37 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*x - 11 = 189, -2*f = -3*x - 116. Suppose -l - 2*s + f = -s, -3*l + 5*s = -164. List the prime factors of l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 5*b**2 + 0*b + 1\/15*b**5 + 0*b**3 - 4\/21*b**7 - 1\/8*b**8 + 1\/20*b**6 + 0*b**4 + 0. What is m in i(m) = 0?\nAnswer: -1, -2\/7, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-801)\/8010*(2 - 112)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 578 divide 612479479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 494084791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9188432 centuries?\nAnswer: 9.188432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 1. Let s be d(-2). Suppose 0 = s*i - 4*i. Suppose i = -7*z + 4*z + 45. Is z 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 976 and 1808833.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - -2*sqrt(2299)*-2 - sqrt(2299)) + -4.\nAnswer: -44*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11491 + 11496. Let u(g) = 4*g + 7. Let n(p) = -9*p - 14. Let k = 1 - -1. Calculate k*n(y) + z*u(y).\nAnswer: 2*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 14. Let i be 11*-3*5\/(-15). Let f(k) = k + 5. Determine i*f(b) + 4*l(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -47.4 + 1398\nAnswer: 1350.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33948.45um in millimeters?\nAnswer: 33.94845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3505 (b) 4 (c) 14\/127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(-1*sqrt(11)*2))**2 - (-1 + (sqrt(2) + 2)**2*2).\nAnswer: -8*sqrt(2) - 21\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 49\/2*30\/9*33. Suppose -486 - 110 = -b. Suppose -q + b = -p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/5, -264\/1685, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -81991000 divided by -1105?\nAnswer: 74200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 281481\/10 + -28021. Let z = 127 - s. Which is the nearest to -0.2? (a) -4 (b) z (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3170 and -13?\nAnswer: 41210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + d + 0)*(0*d + 3*d - d) + 17 + d**2 - 17)*(1 + 1 + 7).\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39979772?\nAnswer: 2, 7, 83, 17203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*d - 166, -2*d - 5*o + 185 = 3*d. Solve 5*a - 3*u - d = 0, -2*a + 2*u - 17 = -37 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 4. Let a be z(7). What is the highest common factor of a and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = -5*f - 2*j, 0*f + 112 = f + 2*j. Suppose u = 3*u - f. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + (1*sqrt(637)*-2 + (sqrt(637) - ((2*sqrt(637) - sqrt(637)) + -1)))**2.\nAnswer: -28*sqrt(13) + 2541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/597 + 997\/597. Let l = 2529 + -2528.94. Which is the closest to 0? (a) d (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 3552 - 5137 + 22 - 681.\nAnswer: 2*f**3 - 9348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -220646 (base 8) to base 16\nAnswer: -121a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191523\/5 + -383181\/10. Find the common denominator of u and (-2)\/7 + 163\/(-140).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5967 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18118 - -1521871\/84. Let o = -1027\/168 - l. Calculate the common denominator of o and 40\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 2*v**2 - 2*v - 2. Let z(h) = -h**2. Let s(r) = o(r) + 4*z(r). Determine s(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2. Let q(p) = 45*p - 2. What is q(b(g))?\nAnswer: -45*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 7:09 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (2 - (-18 + 15))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492092504.\nAnswer: 2, 5851, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 732940*n**2. Let r(k) = -4*k. Determine r(s(f)).\nAnswer: -2931760*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (512 - 512 - 23*f)*(0 + 2 - 5)*((-1 - 2 + 5)*(1 + 3 - 3) + 4 - 1 - 2 + 6 - 2 - 2)*(-1 + 2 + 1) to a + b*f and give b.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 - 5*j**2 - 2*j**2 + (2 + 2*j - 2)*(0*j + 0*j - j).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 32*b + 119. Give i(-38).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 248922451 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*g - k = 18, -2*g + k - 14 = 0. Let n be g\/(-3) + 8\/6. Suppose -2 = -r + n. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120201121 + -2212101?\nAnswer: 110212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/s**(2\/67))*s*s*s**(-22)*s*(s\/(s\/s**(-18\/5)))\/(s\/s**(-4)) assuming s is positive.\nAnswer: s**(-8901\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**6\/120 + v**5\/15 + 5*v**4\/24 + 2*v**3\/3 - 28*v**2. What is r(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19967935 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -24. Suppose 4*o + l = 13. Solve -2 = o*p - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*a - 112*a = 30 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 + -407\/5. Let d be ((-3)\/6)\/(3\/(-6)). Let j = -2 - d. What is the nearest to z in j, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 8*m**2 + 29.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2606, -10274, -23062, -40976, -64022, -92206, -125534?\n\"Answer: -q**3 - 2554*q**2 + q - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5978082 and 424.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2583065 rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**3\/6 - 154089*l**2 + 35614667610*l + 213693552900 = 0?\nAnswer: -6, 462270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or 681?\nAnswer: 681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 502 + -497.32. Let d = g - 4.63. Put 0.09, d, 4 in increasing order.\nAnswer: d, 0.09, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/9, -30.\nAnswer: -30, -1\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 - 7 = 2*q, 0 = -q - 5*l - 4. Suppose -4*o = 5*v + 19 - 66, -2*v + 32 = -5*o. Let k be 16\/(-3) + v\/33. Put k, -1, q in ascending order.\nAnswer: k, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 28*z**3 - 738*z**2 + 1673. Let s(m) = -15*m**3 + 368*m**2 - 837. Let i(l) = -6*c(l) - 11*s(l). Differentiate i(r) with respect to r.\nAnswer: -9*r**2 + 760*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/5 + 5)\/(9\/1140). Let f = p - 458. What is the closest to f in 0.5, 9, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*w - 143*w + 614*w - 118*w - 107*w - 119*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(567) + -2 + -4 + (sqrt(567) - sqrt(567)*-3) + -3)**2 + -5 + 1 + 4.\nAnswer: -324*sqrt(7) + 2349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, f: 9}. Give prob of picking 2 f.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*t - 11, 0 = 2*t + 3*t + 10. Let m = -4 - -6. Suppose f*b + 47 = -3*z + 17, -m*b - 4 = -2*z. Are -6 and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 + 65\/(-26) - -11. What is the highest common factor of b and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 9:23 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35.93 - -332.23. What is o rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -804 + 1639\/2. Calculate the common denominator of -3 - -1 - 72\/(-22) and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26 + -18 - (1 - -3). Suppose c*x - 30 = -3*j, -4*j - j + 36 = 2*x. Suppose 75 = j*z - z. What is the greatest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 6770431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1264\/7 at most -180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5743.4 and 8?\nAnswer: 45947.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 210\/75*10\/(-4). Let n(d) = d**3 + 8*d**2 + 7*d + 6. Determine n(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 2519444623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 9:37 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - b + 2. Let n be x(-2). Sort 3, -5, n in ascending order.\nAnswer: -5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -553*n + 17. Let g(v) = 7189*v - 210. Let y(p) = -77*a(p) - 6*g(p). Let b(l) = -23*l - 2. Give 49*b(h) - 2*y(h).\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*d = 52*d + 95. Suppose -5*c + 79 = -k, -d*c - k = -4*c - 17. What is the highest common factor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/43, 0.08, 0, 22\/3, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/9 + -2 - 36362\/6. Let n = -2783 - b. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -63 + 33?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -16. Let t = -0.23 - 0.67. Let l = t - -0.1. Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = 2*u + 7, w + 1 = -u. Suppose -3*h = -3*h - w*h. Solve -p - 3 = -f, 2*f - p - 4 + 2 = h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l + 4*w - 256 = 0, 2*w = -l + 66. Suppose 0 = -5*h + l + 153. What is h rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**3 + 4*n**2 - 17*n - 26. Determine k(-5).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 377.\nAnswer: 7.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -7 - 25. Let f(o) = -25*o - 2. Let x be f(-2). Let u = x - 2. Calculate the remainder when u is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-6))\/((-1)\/2). Is 9\/(-6)*-6*x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 56 - 28. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -20, 5, -5 in ascending order.\nAnswer: -20, -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/318 and 141\/(-10)*(15 - 4440\/288)?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, -0.2, 15?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w**2 + 54*w**2 - 68 + 61.\nAnswer: 80*w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckpbcpoccppt. Give prob of sequence pop.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -13414241?\nAnswer: -13414234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 128.\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 31*t**2 - t. Suppose -4*z - 5 + 9 = 0. Suppose 5*o - 4*o = -z. What is the tens digit of a(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/4 + 259703*m\/2 - 67445648209\/4 = 0. Calculate m.\nAnswer: 259703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*(20\/(-6))\/10. Put 1, -1, 0, c, -49 in increasing order.\nAnswer: -49, -1, 0, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -163 + 153. Calculate the remainder when (-10 + 1*-2)*125\/z is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 17*u - 15*u - 1185, -u = 3*f - 712. List the prime factors of f.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-20) - 24\/30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 5:28 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/1*(-2)\/(-4)*12\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i - 3*i**2 - i**3 - i - 3 - 6*i**2 - 3. Let u be d(-8). Suppose -u*o - 19 = -v, -v + 5*o - 1 = -17. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -333 + 572. What is the remainder when z is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103 by -1.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -658, -1314, -1970, -2626?\nAnswer: -3282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5150 - 4665. Calculate the remainder when d is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 167. Let x(y) = -102. Let t(a) = 3*v(a) - 5*x(a). Let j(m) = -11*m + 18. Let w be j(2). Determine t(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -4.9 (c) -22 (d) 0.2 (e) -0.9 (f) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + (18 - 16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 12. Let m be 2\/(-4)*d\/8. Suppose 5*i = 5*j - m*j + 5050, 1010 = -j - i. Round j to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/1114 (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 + -288. Let y = -321 - b. Let d = -26 - y. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nngnoogognxoggogn. What is prob of sequence gnnn?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13348484, -13348486, -13348488, -13348490?\n\"Answer: -2*o - 13348482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 9570 and 9592 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110000110101 + 1011?\nAnswer: -110110000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8277210, -8277221, -8277232, -8277243, -8277254, -8277265?\n\"Answer: -11*w - 8277199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1051 - 26273\/25. What is the closest to 1 in -2, d, 15, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -17 - (2 + -81 - -58)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-4*-2*sqrt(104))\/(sqrt(88)\/sqrt(99)) - (sqrt(1872) + -3 + (-2*sqrt(104))\/sqrt(8))).\nAnswer: 1 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9*r**2 + 603*r + 5. Calculate i(-67).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uus when three letters picked without replacement from pppusppppuppsupu?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/7 - -22\/21. Let w = -1.958 + 1.758. Is w at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(570))\/sqrt(10) + sqrt(57) + sqrt(912)*5)\/(sqrt(18)\/((sqrt(6) - (sqrt(24)\/sqrt(4) + sqrt(6)))*-4)) + -5.\nAnswer: -5 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6479 - 9883. Let z = 2018 + w. Let i = z + 19385\/14. Find the common denominator of 23\/10 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-22))\/(268\/(-1474))*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2889 and 1926?\nAnswer: 5778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 2\/105*d**7 + 0*d**6 + 4*d**2 + 0*d**3 + 0 + 0*d**4 + 1\/20*d**5 + 0*d. Find the third derivative of w(i) wrt i.\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -0.4. Let b = y + 0.2. Let q = b + -0.5. What is the nearest to 2\/5 in q, -0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 1\/15*p**3 + 1\/12*p**4 - 1\/210*p**7 + 0*p**2 - 1\/150*p**6 + 6*p + 3\/100*p**5 + 0. Find f such that n(f) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 927 - 6490\/7. Let d = 4.1 - 1.1. What is the smallest value in -52, d, h?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1330 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by -3.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 522*b**2 - 2113*b - 4738. Determine n(-526).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 0.8. Let z = f + -0.1. Let h = -1.9 - -2. Which is the nearest to 0? (a) h (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from cvvc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1 + 1 + 0*h - h. Let o(z) be the third derivative of -3*z**5\/5 + 1347*z**2. Give t(o(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/12 (b) 4 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*d + 2*f, 5*d - 5*f - 47 - 18 = 0. Solve -5*i - 2*o + 4 + d = 0, 5*o = 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 579 - 501. Calculate the remainder when p is divided by (-9)\/((-4)\/(-6) - 1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 942 = 3*c - c, 4*c = -3*z + 1912. Let g = c - 30. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*p + 135 + 31, -i - 236 = -4*p. Suppose -h + p = h. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*n*x**2 - g*n*x + 3*g*n - 184558*g*x**2 - 51*n*x**2 + 30*n*x - 2*x**2 + x - 542 wrt x.\nAnswer: -4*g*n - 369116*g - 102*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 + 14*s + 9. Let q be n(7). Suppose 3*x + 0 - q = 0. Find the second derivative of 13*t - t + 0*t**3 + 2*t**x wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 8*k = -18. Suppose -2*s = 3 - k. What is the least common multiple of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 88, 113, 124, 115, 80, 13, -92, -241?\n\"Answer: -j**3 - j**2 + 35*j + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11111002 (base 3) to base 9\nAnswer: -4432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*a**2 - 381*a**2 - 928*a**3 + 925*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 4*p**2 - 1\/20*p**5 + 2*p + 0*p**3 + 0 - 1\/2*p**4. Let f be q(-6). Solve 3*k = k - f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00092212267 rounded to six dps?\nAnswer: 0.000922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a factor of 108890292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3 (b) -46\/5 (c) 2\/13 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000025273 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = c + 4, 5*c = -4*g + 16. Differentiate -3 - 2 - 10 + 12 - g*k**2 with respect to k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -0.29?\nAnswer: -0.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5282503 is divided by 16931.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -621*b**5 + 10101*b**2.\nAnswer: -37260*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 6 - 4 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100201201111022 (base 3) to base 9.\nAnswer: -10651438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 486494408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((-16)\/(-10) + ((-196)\/(-35))\/14). Which is the closest to -0.1? (a) -0.18 (b) -2 (c) v (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or 135434?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 810?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, i: 3}. What is prob of sequence eeee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -879 + 895 - -2*-6*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/15 - 2\/5. Let z be 57 + -1 + (g - 1). Let i(b) = b - 7. Let s be i(15). Calculate the highest common divisor of s and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -255*h + 3. Calculate a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*y - 2, 0*d = 5*d - 2*y - 36. Let h be -2*(-20)\/d - 4. Put 0, h, -2, -0.2 in ascending order.\nAnswer: -2, -0.2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 972719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156995989 by 4.\nAnswer: 156995989\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Let k(m) = -m - l*m + 0*m + 4*m. Let t(v) = -7*v. Determine t(k(f)).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 4*g - 3. Let f be i(-3). Suppose -2 = -l - f*l. Let t(c) = c**2 + c - 2. Let d be t(-2). Put d, l, -5 in descending order.\nAnswer: l, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3326693\/76 - 43773. Calculate the common denominator of i and -17\/3116.\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47166 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 274*x + 63. Let p(n) = n**2 - 23*n + 63. Let f be p(20). What is the units digit of w(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4505 + -4501. Solve 52*y - 48*y - 10 = 3*j, -3*y - 5 = q*j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0479 - -47.7479. Let r = o - -3.3. Let m = r + -50. Which is the second smallest value? (a) 4\/5 (b) m (c) -0.4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 0.0729 (b) -3 (c) -10 (d) -0.2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 158697, -1, -5, 0 in ascending order.\nAnswer: -5, -1, 0, 2, 158697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 7 + 6)*(4*y**2 + 0*y**2 - 2*y**2) - y**2 + 3*y - 3*y + (0 - 1 - 2)*(-4*y**2 - y**2 + 4*y**2) to the form m*y + f + k*y**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 55 = -5*c, 2*c + 3*c - 65 = 5*v. What is the highest common divisor of c and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 7:58 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - q**2 - q**2 + 12*q**2 - 9*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16067 + 16069. Factor 0*t + 1\/4*t**4 - 3\/4*t**q + 0 - 1\/2*t**3.\nAnswer: t**2*(t - 3)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 61*q - 76. Let y(n) = 372*n - 3. What is y(t(r))?\nAnswer: -372*r**2 + 22692*r - 28275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1504 and 174496.\nAnswer: 8201312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 212*n - 173. What is the tens digit of p(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39733 minus 2249?\nAnswer: -41982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -215\/16 (b) 21\/25 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -56 in 0, 3, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 l when three letters picked without replacement from {e: 1, l: 2, s: 10, r: 1}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2299) + (-3 + sqrt(2299) + -1)**2 + (-3 + sqrt(2299)*2)**2).\nAnswer: -627*sqrt(19) + 34560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17373 (b) 0 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*f + 19 = 7*r, -3*r = 5*f - 18. Let b = -9108\/7 + 1257107\/966. Let n = b - 1\/23. Is n greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 48, 63, 86, 117?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*z + 472 + 546 + 64 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-6)\/(-12)*(-8)\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/1455 or 1?\nAnswer: 22\/1455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1518650 or -59?\nAnswer: 1518650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 6*g - 7. Let f be r(-3). Let d = -4 - -6. Suppose -q + 6 = d*s + 3*q, 5*q = -2*s + 7. Which is smaller: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14199, -56310, -126333, -224274, -350139, -503934, -685665?\nAnswer: -895338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2780, 5131, 7494, 9869, 12256, 14655, 17066?\n\"Answer: 6*d**2 + 2333*d + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45107?\nAnswer: 43, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.00055 + -0.06055. What is the third biggest value in q, -27\/5, 0.2, 1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 7*u**2 - 9*u + 3. Let s be r(9). Suppose 43 = -i + 5*m + 5, 4*i - 3*m = -s. Find the common denominator of (-134)\/i*(1 + 0) and -24\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + (-48)\/(-27))*(1 + -2). Put 0, 1, i, -0.4 in descending order.\nAnswer: 1, i, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2856 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -168*f**2 + 13*f - 10. Let n(k) = -85*k**2 + 5*k - 4. Give 5*n(j) - 2*r(j).\nAnswer: -89*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnoznzzoznzoznhznzh. What is prob of picking 1 z and 3 n?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from eecgczgcxxceeb?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 + 6*v**3 + 1 + 3*v - 16*v - 9*v**3 + 8. Suppose -9*f + 5*f + 36 = 0. Let a be l(f). Round a to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-one halves of a milligram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z*z\/(z\/(z\/(z*z**(-1\/4)\/z)*z))))\/z*z)**(2\/11)\/((z**1\/z)\/(z**(-8)\/z*z))*(z**(1\/4)*(z*z**(3\/5))\/z*z)**(3\/35) assuming z is positive.\nAnswer: z**(-63529\/7700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*z = 13 + 10, -3*a - z = -7. Let i be 0\/(-1 + -2) - -8. What is the highest common divisor of a and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = 3*g. Suppose -4*r = 3*c - 2*c - 40, -c = -4. Let a be 6\/(-5)*(-120)\/r. Calculate the greatest common factor of a and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432308251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 + 2. Let d = -579 + 398. Let p = d + 164. Is p less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (323\/(-266))\/((-20)\/(-70)*1)*-12.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5.3 times -0.080546\nAnswer: 0.4268938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 17*a**3\/3 + a**2 + 5*a - 30. What is the remainder when n(4) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5870, -24025, -54284, -96647?\n\"Answer: -6052*d**2 + d + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40297 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-817)\/(-19) + (-3857)\/133?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1313 = -2*w + 1451. Solve 12*x - w = -11*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6477.628um in millimeters?\nAnswer: 6.477628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 14. Let f be (12 - v)*(-1)\/(-2). Let s be 5*(f - -1 - 3). Solve -s*w + 18 = z - 0, 0 = 3*w - z - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, -7\/5, 1.1, 43?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from fxfuxxfff.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 10:02 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1954572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - w**2 + 42 + 11*w - 88 to the form l*w**2 + k*w + f and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-544)\/680)\/(0 + -2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**6 - 284681718*k**5 + 210704*k**2 - 379*k.\nAnswer: 120*k**3 - 17080903080*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/126 and 67\/2100618.\nAnswer: 14704326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -173256.\nAnswer: -103953.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -21, -5, -58, -2, -13, 5.\nAnswer: -78, -58, -21, -13, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 - 3*t + 7. Let h be ((-4)\/(-1))\/((-12)\/6). Let w(l) = -l**2 + l - 2. Let n(v) = h*u(v) - 7*w(v). Let f(y) = -2*y + 2. What is -f(c) + 2*n(c)?\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*q + 8*q**2 + q**3 + 2*q**4 + 0*q**3 - 6*q - 5*q to the form i*q**3 + k*q**4 + f + x*q + v*q**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -10. Suppose -4*v + y = 1. Solve d - 2 = v*j + 4, 0 = -3*j - 2*d + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 3400501?\nAnswer: 3400455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35969084 to the power of 1\/2, to the nearest integer?\nAnswer: 5997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + o**2 + 1)*(-2 - 2 + 3) - o**2 + 0*o**2 + 3*o**2 + (22*o**2 - 19*o**2 - 1 + 2)*(-4 + 5 - 2) to x*o**2 + h*o + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11648 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -23*u**2 - u - 1. Determine q(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -17*r**3 - 3*r**2. Let d(y) = 33*y**3 + 5*y**2. What is -3*d(q) - 5*h(q)?\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7425.69 - -7541.69004. Let n = d + -116. Round n to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-828))\/(((-3)\/(-21))\/(138\/(-483))).\nAnswer: -5\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 24*o**2 - 2*o - 37. Determine c(-24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**3 - 63*g**2 + 18*g + 40. Determine z(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 4*y - 780, o + y = 4*y + 189. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3400 - 3431?\nAnswer: -12331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0036? (a) 0.2 (b) 67 (c) 4 (d) 3 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, 5, -5, -15, -25?\n\"Answer: -10*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**4\/6 - 12*r**2 + 10*r. Let d(c) = c**2. Determine h(d(u)).\nAnswer: -2*u**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9895042, 9895040, 9895038, 9895036, 9895034?\n\"Answer: -2*g + 9895044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**3 - 13*r**2 - 9*r. Let j(g) = -2*g**3 + 6*g**2 + 4*g. Suppose 3*z + 19 = -8. Give z*j(w) - 4*s(w).\nAnswer: 2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 7:45 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w*w**(-6))\/w)\/w**5)**(-2\/85)\/((w*w**1)**(10\/3))**13 assuming w is positive.\nAnswer: w**(-22046\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 - 4 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j + j + 1 + 0*j + j. Determine h(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2271 + 15865\/7. Is -4 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(25\/4 + -4) and 81\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454180171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (751 - 12) + (-9)\/21*-7. Calculate the greatest common divisor of n and 318.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 10. Let g(c) = c**2 + 23*c + 16. Let m be g(-21). Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 33*g**2 + 36*g + 127. What is u(-32)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.38 + -0.28. Which is the third biggest value? (a) l (b) 2 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3 + 37. Let o = 47 + -49. Let b be (o\/(-4) + 49\/14)*-4. Do h and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/27*(14 + (-27)\/2 + 1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(7\/6)\/u)\/u*u)**(-25) assuming u is positive.\nAnswer: u**(-175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1248 (base 10) to base 16.\nAnswer: -4e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 10 = 2*c. Suppose 20 = m + c. Suppose m = 3*v + 6. Solve 0 = 4*r + 2*f + 16, r - 2*f = -v*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29421?\nAnswer: 3, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -127\/2053 - -10325714\/166952013. Let g = -157844071\/813210 - a. Let s = 11081\/60 + g. Find the common denominator of s and -91\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z**2 + 1 - 3*z**2 - 2*z**2)*((-1 + 0 + 3)*(-2 - 2 + 2) + 4 + 0 - 2 + 1 + 2 - 5 - 2 + 2 - 1) to the form a*z + x*z**2 + g and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x. Let y = 42 - 47. Let z(p) = p - 5. Let l(o) = -o + 6. Let h(v) = y*z(v) - 4*l(v). What is 3*h(a) + 2*u(a)?\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4995926 * 3.\nAnswer: -14987778","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*v = -1 + 2, -3*w + v + 17 = 0. Suppose -2*l = 4*q + 27 - w, -4*l + q = 62. What are the prime factors of 3\/l - 466\/(-5)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i = 2. Suppose -5*w + 120 = 4*j, j - 1 - 32 = -2*w. Let x(r) = r**3 - 27*r**2 + 50*r + 4. Let q be x(j). Sort -2, i, q in descending order.\nAnswer: q, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*j - 15. Let r = -126 + 124. Put r, j, 5 in descending order.\nAnswer: j, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -8 (c) 4 (d) -2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5314 - -4?\nAnswer: 5318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 744 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1919 + 2250.1. Let v = 331 - w. Which is the biggest value? (a) -1 (b) v (c) 0.5 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 - 64. Calculate the remainder when v is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 8*i**2 + 5*i + 6102. Let f(y) = -32*y - 9. Give -6*f(o) - 11*t(o).\nAnswer: 16*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x + 3 + 0*x - 3 to n + m*x and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-101)\/((-11615)\/276)*(-4)\/8*4\/(-3).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (219\/(-1))\/((-1995)\/(-665))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*z = 2404, -u - 9 + 619 = -4*z. Calculate the remainder when u is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1070 = -5*p, -9*r + 11*r + 226 = p. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 9*z + 39. Let s be (-3)\/(15\/5)*-76. Suppose -r = -64 + s. Let y be t(r). Which is the closest to 1\/3? (a) -0.3 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44620073 + 28713432 = 68*u + 25426077. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1425, 1539, 1729, 1995, 2337?\nAnswer: 2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from araarrraraaaarra.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -36587*x**3 - x**2 - 4. Let w be l(-3). Suppose -3*z - z = w. Let v = z + 96959. What is v rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/24 + -2 - (-3)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 8 = -44*w + 46*w, 26 = w + 5*f for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (339 - 221)\/(99\/(-9) + 13)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -14357, -5, 2, 3, 0, 91 in increasing order.\nAnswer: -14357, -5, 0, 1, 2, 3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 0.671, 4?\nAnswer: 0.671","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 23. Let s be z(-21). Suppose -s*l - 3*y + 4*y = -113, -111 = -2*l + 3*y. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by -278767?\nAnswer: -86\/278767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -12 - (-52 - ((12 - 17) + 10) - -8).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 5*v**3\/3 - 50*v**2 - 105*v - 1683. Factor h(m).\nAnswer: 5*(m - 21)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7139)\/295 - 162\/90\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7153736 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from fgshshggsh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2 + (-220)\/88. Let b(z) = z**2 - 4*z + 1. Give b(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**3 + 12*b**2 - 4*b. Let a(h) = 7*h**3 - 25*h**2 + 9*h. Calculate -4*a(w) - 9*f(w).\nAnswer: -w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) -22 (b) 1 (c) 1\/10 (d) -1\/6 (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -177 + 2 = 65*h + 475 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/8 + (-2)\/(-8). Suppose -3*t = 0, -3*u + 2*u - k*t = -16. List the prime factors of (-1)\/((u\/(-4))\/388).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/31 (b) 34.6 (c) 1 (d) 2 (e) -7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2926 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 19. Let c be d(10). Suppose -2*o - 2*o + 34 = 2*r, -2*o + 3*r + 13 = 0. Find the second derivative of -o*b - b**4 + 17*b**4 + c*b + 4*b wrt b.\nAnswer: 192*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.8 and 11.\nAnswer: 74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 177 - 174. Let f(u) be the first derivative of -9 + u**2 - 1\/9*u**3 - t*u. Suppose f(m) = 0. What is m?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1025, 1024, 1023?\n\"Answer: -h + 1026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*b - 11 = 0, -3*p + 2*p = 4*b + 13. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1215433.\nAnswer: 2\/1215433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 881, 1069, 1285, 1445, 1465?\n\"Answer: -14*b**3 + 98*b**2 - 8*b + 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 81, -37, 1\/2, 0, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 4\/3, 1.295, -1\/3, 2\/19, -0.2, -3, 0?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 2*c - 1\/4*c**5 + 1\/6*c**4 + 1\/6*c**3 + 0*c**2 - 4 - 1\/5*c**6. Let r(h) be the first derivative of d(h). Factor r(w).\nAnswer: -w*(w + 1)*(2*w - 1)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-3))\/(44\/198). Suppose -k = l, -3*l + 5 = -4*n - 86. Let y = -76\/3 - n. Which is the third smallest value? (a) -3 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7656+25\nAnswer: -7631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 514*u**3*y**2 + 91889*u**3*y + u**3 - 240*u**2*y**2 - 35*u**2*y - 31*u**2 - 12*y**2 wrt u.\nAnswer: 3084*y**2 + 551334*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 115.6539 and 62.\nAnswer: 177.6539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-20)*84\/(-15). Suppose -3*r + 28 = -4*z - 3, 2 = -2*z. Let f be 9\/(-6)*(-6)\/r - -4. Which is bigger: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 9. Let h be u(-5). Let x = h - -32. Are x and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 + 21 - 65 - (-423)\/(-147)\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/43 in 25, -5, -4\/5, -3, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39037.\nAnswer: 103, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18385600 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 4*t = -10. Suppose 5*v = 5, 2*i + 2*v + t = 4*v. What is the derivative of 6*n**2 + 0 + 1 + i wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163 - -25. Let q = -188.2 + l. Which is the third smallest value? (a) 2 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 25*f**2 + 8. Let b be g(-4). Suppose -w + 7*w = -b. Let m = -34 - w. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 2516363?\nAnswer: -2516367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 302886012 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 5*g**4\/4 - 15*g**2\/2 - 10*g + 113. Differentiate r(d) with respect to d.\nAnswer: 15*d**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n - 5. Let h be r(5). Let t = -11 - h. Calculate the remainder when t is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4973.1mg to kilograms.\nAnswer: 0.0049731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2 - 3 = 4*a, 0 = -5*t + a + 14. Solve 3*b - 11 = 5*v - t, 0 = -b - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19)*-3*5*1 - -1*(sqrt(684) + 3*sqrt(684))**2).\nAnswer: -65664 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 92 = -0*r - 4*r, -r = -3*t + 11. Let n(z) = z**3 - 10*z**2 + z + 10. Calculate the least common multiple of n(10) and (6\/5)\/((-12)\/r).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -227 - -233. What is the highest common factor of d and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101300*r**4 + 45083*r wrt r?\nAnswer: 1215600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 j when three letters picked without replacement from jjjbjbjj.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78349\/5 + -15897. Let q = 40 - 268. Let i = q - m. What is the third biggest value in i, 4, -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527883.\nAnswer: 3, 175961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7124 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -289*b**4 + 189?\nAnswer: -1156*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8035\/7 - -1143. Calculate the common denominator of i and ((-2)\/6)\/(2\/(-116)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-5)\/(10\/4). Suppose a = -4*c + 35 + 41. Suppose c + 16 = 2*j - 5*y, -3*j = 4*y + 5. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 11*j**2 - 10*j - 13. Let p be r(12). Suppose -7*o + p*o = 16. Solve 0*i + 7 = -5*i + 3*k, o = -4*i + 4*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197786*s - 1036 = 197749*s for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 5*n - 12. Let j be w(7). Let a(q) = 0*q**j + 3 + 11*q**2 + 2*q**3 - 14*q**2 - q. Let y(f) = -f + 1. Calculate -a(s) + 3*y(s).\nAnswer: -2*s**3 + 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 5:35 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**17*s**(-2\/19)\/s)**(3\/4) assuming s is positive.\nAnswer: s**(963\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 2, q: 4, l: 1, u: 1, g: 3}. Give prob of sequence ligq.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*y**3 + 191 - 191)*(y + 0*y - 4*y) - 2*y**2 + 3*y**2 - 3*y**2 - 3*y**4 as c + l*y**4 + u*y + r*y**3 + k*y**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9, 4, 24 in increasing order.\nAnswer: -9, 1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -757*o + 758*o - 207 = 0. Calculate the smallest common multiple of o and 92.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + 0.8. Let f = a + -1.2. Let m be (-161)\/63 + 42\/14. What is the closest to -1\/3 in m, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i + 5*i**2 - 15*i + 40*i.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 0*s)*(0 + 2*s**2 + 0) - 6*s**3 + 8*s**3 - 5*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -469310, -469456, -469602, -469748, -469894?\n\"Answer: -146*p - 469164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 2\/31, 0.03, 0.3, 0.5, 7\/4?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1. Let i(o) = 2*o**2 - 6. Let z(y) = -6*c(y) - i(y). Let s(g) = -2*g. Calculate s(z(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 910762417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*x = -46, 0 = -4*i - 6*x + 3*x + 37. Solve -5*t = 3*c + c - 7, c - i = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + (-5)\/15)*126\/(-7). Solve h*o = 43*o + 95 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.001235 and -0.4.\nAnswer: 0.000494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/28 + (-40)\/(-42). What is the nearest to -1 in 0.5, 3, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2576, 5153, 7726, 10295, 12860?\nAnswer: 15421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-117)\/3)\/(-11*(-57)\/1463).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3\/(m\/m**(-1\/3))*(m*m*m*m**(-5))**37 assuming m is positive.\nAnswer: m**(-217\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25792727, 25792729, 25792731, 25792733, 25792735, 25792737?\n\"Answer: 2*z + 25792725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 7 - 19 - 29)*(2*y**2 - 3*y**3 - 2*y**2)*(-15 - 2 - 14).\nAnswer: -4836*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 61*i + 468 + 323 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 348?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4520 + 4520. Solve -3 = 2*q - g, l*q - 5*g = 3*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 19. Let u be 20\/195*r\/(-2). Let f = -0.82 - -0.81. Sort u, -4, f.\nAnswer: -4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*d**2 - 1421 + 1457 + 6*d**2 + 406*d**5 + d**2 wrt d.\nAnswer: 24360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1008640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2 = 6. Suppose -2 = n + o. What are the prime factors of 11 + 3 + 1 + n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485630 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 61 = -5*m, -3*m - 17 = -h - m. Suppose h*g = 18*g. Let z(f) = f - f + g*f - 2*f**2. Let b(n) = -5*n**2. Give b(z(q)).\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620459?\nAnswer: 7, 151, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14265922 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 174584 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, x: 1, k: 1, s: 2, b: 1, y: 1}. What is prob of picking 1 s and 3 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564624 is divided by 1344?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16771997?\nAnswer: 11, 47, 32441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2132*n**2 - 4347*n**2 + 2133*n**2.\nAnswer: -82*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (80 - (104 - 73)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1733952.15 microseconds?\nAnswer: 0.000002866984375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 80*y**2 - 2*y + 2. Let t be u(1). Let o = t + -75. Let x(r) be the third derivative of -r**4\/12 + r**3 + r**2. Determine x(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -4, 346\/21, 0.03, -5, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1 - 22\/8). Let q be ((-94395)\/(-1225) - 77)\/(-1*3\/(-30)). Factor k*z**4 + 2\/7*z**5 - q*z**2 + 0 + 0*z**3 - 2\/7*z.\nAnswer: 2*z*(z - 1)*(z + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24314568 (base 9) to base 14\nAnswer: 1813013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88860521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 360.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/56 - (-52)\/14. Let s(h) = 4*h**2 + 3*h + 3. Let t(k) = k**3 - 2*k**2 + 2*k - 3. Let f be t(3). Let r(n) = -n**2 - n - 1. What is c*s(q) + f*r(q)?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 20*t**4 + 28. Let f(v) = -13*v**4 - 19. Suppose -5*x = -a - 30, -2*a + 15 = a. Let q(l) = x*f(l) + 5*j(l). Differentiate q(y) with respect to y.\nAnswer: 36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 2 + 5 + 6 + (5 - 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 7*q - 1. Suppose 0 = 10*c + 35 + 45. What is s(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13610 - 13609.9. Let r = 17 - 15.2. Let g = 0.1 + -0.3. What is the second biggest value in x, g, 4\/3, r?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -14.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -0.1.\nAnswer: -11.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 4, -1\/2, 14 in decreasing order.\nAnswer: 14, 4, 2, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9*p**2. Let u(a) = 5*a**2 + 8*a. Let j(n) = -3*n - 4. Let s be j(-4). Let b(y) = 2*y**2 + 3*y. Let r(c) = s*b(c) - 3*u(c). Give r(q(v)).\nAnswer: 81*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -15*i. Determine p(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34816 and 249696.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -132?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**3 - 6*w - 19. Let i(o) = 3*o**3 + 5*o + 18. Calculate 6*i(r) + 5*l(r).\nAnswer: -2*r**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 11 = -9. Let r be 4\/(-6*a\/(-12)). Suppose 3\/2*x**r + 0 - 1\/2*x - 3\/2*x**3 + 1\/2*x**4 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8*p + 7*p - 137 = 0, 0 = 2*q + p - 88. Calculate the smallest common multiple of 5 and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5447 <= 5530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 6*y - 14. Suppose -2*u + 8 = l, 4*l + 0*l + 2*u = y. Suppose -g = -3*z + l*g + 9, z + 3 = -g. Solve -5*r + 2*r - 3*i = -6, r - 4*i - 7 = z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -101 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -479*s**4\/3 + 152*s**3 + 3*s**2\/2 + 1155*s. Find the second derivative of r(g) wrt g.\nAnswer: -3832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 342 = 10*a. What is the remainder when 263 is divided by a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 181080298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 1. Let y be f(-1). Let t(q) be the first derivative of q**4\/4 - 7*q**3\/3 + 4*q**2 - 8*q - 21. Let i be t(6). Put -5, y, i in increasing order.\nAnswer: -5, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**4\/4 + 11*g. Let y(s) = s + 2*s + 0*s. Calculate n(y(k)).\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 5*g**2 + 8*g + 7. Let u be z(-3). Solve -4*n = -2*b - 16, -5*b + 6 = 5*n + u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4105 - 4089. Calculate the remainder when 68 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2. Let v(p) = 41808*p. Determine k(v(l)).\nAnswer: 3495817728*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510446 is divided by 56716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 62\/217 + 58\/(-7) + (1 - -7). Let d(z) = z**2 - 2*z - 4. Let l be d(4). Solve m = l*i + 19 - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.8 + 2.7. What is the nearest to g in 0.2, -2\/21, -5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8903*f*h**2 - 1098*f*q + h**2*q + h*q - 5570*h + q - 40 wrt f?\nAnswer: -8903*h**2 - 1098*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -370, 122.03, 0.4, 0?\nAnswer: 122.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {l: 4, s: 1, i: 1, m: 5, p: 3, a: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5986377 and 7981836.\nAnswer: 23945508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1426300 divided by 3?\nAnswer: -1426300\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*y = -11, -3*y + 5 = -4*i - 8. Let l be (i\/4)\/((-5)\/80). Solve 0 = 4*k + 2*c - 20 + 2, 5*c - 27 = -l*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -338, -690, -1042, -1394?\nAnswer: -1746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + n**2 + n**2)*(-1141*n**2 - 997*n**2 + 2038*n**2).\nAnswer: 100*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = 3*q - 16, -q + 3 = 0. Solve -k = -a*f + 13, -2*k - 12 = k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -207. Let a = -172 - g. Solve 4*i + 8 = -2*r, -r - 5 - a = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*37\/(-16) + -1 + 6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 7360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/42020 and -3\/30560.\nAnswer: 336160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41315060 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033446953 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23011, -46022, -69035, -92050?\nAnswer: -115067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 24964 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 4*u - 4652*r + 4657*r, 22*u = -2*r - 446 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.42446 + -0.07554. What is the second biggest value in a, 4, 20\/7?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650 + 650 + 650 - 1950 - 27*k**2.\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1205 (base 6) to base 8\nAnswer: -445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.009 + -0.591. Let i = 0 - 0.2. Let r = l - i. What is the biggest value in r, -1, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29322966671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.27 + -32.35. Sort -32, 0.1, w.\nAnswer: -32, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4550645543 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 9) to base 12\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32*7)\/(-3801 + 3799).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 4 = 5*l. Suppose -l = -2*f + 7. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 3459.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4\/x*x**5*(x\/(x\/(((x\/(x\/((x**(-9\/5)\/x)\/x*x*x*x)*x*x))\/x)\/x)))\/(x*x**7*x))**(-25) assuming x is positive.\nAnswer: x**145","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 552 + (-8 + 4 - 0). Suppose 543*a + 260 = q*a. What is the greatest common factor of a and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 313 - 309. Solve 0 = v*t, i + 0*t - 5 = 3*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -254382625 - -356050.\nAnswer: -254026575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4485, -4487, -4491, -4497, -4505, -4515?\nAnswer: -4527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/(-10))\/10 - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 13*w - 3. Determine n(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 t when three letters picked without replacement from {t: 2, w: 10}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42885?\nAnswer: 3, 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 91770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 183*l**5\/7 - 81600*l**4\/7 + 10726020*l**3\/7 - 49032930*l**2 - 388966395*l\/7 - 4989726 = 0?\nAnswer: -1, -6\/61, 49, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 t when three letters picked without replacement from {m: 16, t: 2}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(539\/(-66))*4\/(8\/(-3))\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2*h**3 + 2*b**2*h**2*u**2 - b**2*h**2 - 4*b**2*u**2 - 8152212*b*h**3*u**2 - 178*b*u - 528*h**2*u wrt h.\nAnswer: -6*b**2 - 48913272*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + h - 2*h**3)*(-2 + 1 + 0)*(584 + 172 - 95 + 299) to n + d*h**2 + t*h**3 + x*h and give t.\nAnswer: 1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 4\/(16\/(-20))) + -3. Suppose a = -20*p + 13 + 87. Solve -3*j = -p*k - 6, 5*j - 2*j + 3 = 2*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r. Let c(i) = -14*i**2 - 116*i. What is -c(u) - 6*k(u)?\nAnswer: 14*u**2 + 92*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 7:56 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 (base 7) in base 9?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 2*q. Let g(f) = -54*f**2 + 2*f + 8. Determine -g(a) + s(a).\nAnswer: 53*a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 11*z**2 + 10*z + 4. Let w be (-4)\/(-6)*1*-15. What is the remainder when 13 is divided by t(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*i - 9. Suppose -j + i*z - 1 = 2*z, 0 = -3*j + 5*z. Let d be 2\/(-10) - 4999\/j. What is d rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/198 and -7\/216.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3042133990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1072*o**2 - 118*o - 460. What is the units digit of g(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6353*a + 2418*a - 2113*a - 8)*(2 - 4 + 1)*(0 - a + 0) as h*a + n*a**2 + t and give n.\nAnswer: -6048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1150 and -8\/24575.\nAnswer: 1130450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1591869.52 and 5.\nAnswer: -7959347.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1524211 is divided by 1129.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q - 4*q)*(-3 + 0 + 1)*(2 + 0 + 0)*(0*q + q + q).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -9*f**9\/7 + 37*f**5\/20 + f**3\/6 - 7*f**2 - 35. What is the third derivative of a(l) wrt l?\nAnswer: -77760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (3\/(-3) + 2). Which is smaller: j or -1\/76?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4\/29 (b) -5 (c) -1\/12 (d) 0.5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1525993, -1526027, -1526061, -1526095, -1526129, -1526163?\nAnswer: -1526197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65582663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 + 5) - (-3 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 3*c - 64. Determine i(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**6*r)**(1\/19)*(r**6*r)\/r**(-8) assuming r is positive.\nAnswer: r**(293\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 50613667568925\nAnswer: -50613667568924.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2 + 4*l + 25 - 3*l - 7. Let w = -1 + 1. What is the tens digit of u(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 1577 (b) 9 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:48 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.03342.\nAnswer: 0.06684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 9*z = -10*z - 3, 4*z - 36 = -4*r. Suppose 0 = -r*o + 2*y + 406, -2*o + 7*o + 3*y - 491 = 0. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -6. Suppose 1 = -v + 7. Let d be (-4)\/(-3) + v\/(-18). Sort 0, d, a.\nAnswer: a, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18792354607764 less than 0.4?\nAnswer: -18792354607763.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-105.9.\nAnswer: 21.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.6 - -5.6. What is the third biggest value in d, 2\/13, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*i**2 + 9*i - 1 + 179*i**2 - 115*i**2 - 23*i in the form v*i**2 + a*i + h and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38988\/5 + 2223*l + 3\/5*l**3 + 354\/5*l**2 = 0. What is l?\nAnswer: -57, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002936229 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 - 879*x + 1755*x + 17*x**3 - 876*x.\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, -1, 15, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 19920.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i - 26*i = 32. Suppose -2*h + 3882 = i*d, 4*d = -0*h - 7*h + 13599. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40*h**2*w - 5488*h**2 - 40*h*w wrt w?\nAnswer: 40*h**2 - 40*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25874?\nAnswer: 2, 17, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75246 is divided by 2280.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 85781157*f**2 - 85781151*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 320 - 299. Let d(q) = -2*q**2 - 78*q + 12. Calculate the smallest common multiple of c and d(-39).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l = 14. Let u = l - 6. Let x(c) = 9*c - 1. Let p be x(u). Calculate the highest common factor of p and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 13*u**2 - 3*u - 17. What is the tens digit of r(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38977 + 66624. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-1374)\/(-9))*3. Let k = b - 204. Suppose -5*d + 168 + 55 = 4*l, 5*l - 4*d - k = 0. What is the greatest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -84*o + 843. Calculate l(11).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 3*u**2 + 6*u. Let n(s) = -2*s**3 - 8*s**2 + 17*s + 1. Let x(i) = 11*m(i) - 4*n(i). Suppose -p = 5*a + 18, a + 5*p + 21 = -a. Is x(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 105*t - 101*t. Suppose 0 = -p + 4*p + t*p. Solve p = -2*c - 3 - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91098 divided by -3374\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -6322, -5, -8 in increasing order.\nAnswer: -6322, -8, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 6625453.\nAnswer: 3\/6625453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 12140516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000101 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1017 = -2713. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.2+10765189643\nAnswer: 10765189639.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 1. Suppose 0*o - k*o = -60. Let f be 6*(6\/(-9) + 1). Solve -4*z = -w + f*w + 3, -4*w - o = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than or equal to 188995648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -50. Suppose -6*o - 3*n - 598 = -7*o, -591 = -o - w*n. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19 + ((-4)\/(-3))\/((-2)\/(-3)). Sort 1, 2, z in descending order.\nAnswer: z, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58720455 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500052 is divided by 45453?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12346629 or -12346633?\nAnswer: -12346629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -36 - z - 27 + 53 + 0*z. Suppose -w - 15 = -v + 2*v, 4*v = -20. Let d be j(w). Solve -1 = -d*c - c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/77870?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by -504276.\nAnswer: 17\/42023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - -1?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2)*(-3 + 3 + n**3) - 2420 + 1209 + 1208 + 242*n**3 to c*n**2 + r*n + x + d*n**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5132.0918 and -1.\nAnswer: -5133.0918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*((sqrt(252)*1*5)**2 + sqrt(252)) + ((sqrt(175) + -1 - sqrt(175))**2 + -1 - 1*(sqrt(175) + -3 + sqrt(175) + sqrt(175))).\nAnswer: -62997 - 75*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (sqrt(242) + 0)*-6) + -1*(sqrt(2) + (sqrt(8)\/sqrt(4))**2) + 1 + 5.\nAnswer: 4 + 76*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-90)\/27 - -5)*27. Let u(c) = 47*c - 146*c + t*c + 22 + 49*c. What is u(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-242708)\/180 + 2\/(-5). Let i = -1352 - g. Find the common denominator of -19\/9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.02, 3\/11, -49 in ascending order.\nAnswer: -49, -0.02, 3\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -3. Let x = 193\/99 + -19\/11. Which is the nearest to f? (a) 3\/2 (b) x (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*t, -3*g - 4*t = -3*t - 2. Find the third derivative of -9*i**2 + 10*i - g*i**4 - 16*i**3 + 28*i**2 - 27*i + 15*i wrt i.\nAnswer: -48*i - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.432 - 18.3. Let u = 0.368 + j. Which is the closest to 0.2? (a) u (b) -5\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -2*x**6\/9 + x**5\/30 + 2*x**4\/3 - x**3\/9 - 2*x**2\/3 + 8*x. Let l(k) = 0. What is k?\nAnswer: -1, -2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 0.1, 2, 9.1 in descending order.\nAnswer: 9.1, 2, 4\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5*v + 38 = 0, -12 = -3*k - 2*v - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4070793, -4070790, -4070787, -4070784, -4070781, -4070778?\n\"Answer: 3*d - 4070796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q**2. Let m be ((-104)\/(-28) + -4)\/(20\/(-105)). Let i(p) be the first derivative of -m*p**2 + 14 + 0*p. Calculate z(i(d)).\nAnswer: -63*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0*(-2)\/4)\/(0 + -2). Suppose -5*x + 2*k + g*k + 75 = 0, 5*k = x + 8. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -1936?\nAnswer: -1934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 14*d**2 + 12*d - 26. Let l be m(-15). Suppose l = -o + 27. Solve o = 4*s - 3*q, 0*s + q = -3*s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46720425 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 0.02 (b) -1\/5 (c) -1 (d) 2.2 (e) 1 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*o + 1. Let -14*i**2 + 2*i - 3*i**3 + o*i + 11*i**2 = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/4*(-72)\/(-90). Differentiate 8 - 1 - 3*v**2 + 9*v**i with respect to v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1127251 to three decimal places.\nAnswer: 0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2521\/(((-80)\/(-6))\/(-4)). Let l = j + 764. Find the common denominator of l and -71\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8 + 15\/4. Suppose 73 = x*m - 59. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 385 + -131. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 4*l**2 - 3*l - 1. Let f be x(-3). Let a = f + 1. What is the derivative of -3 + a + 2*m + 5 - 5 wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(60\/(-9)) + 494\/(-10). Let v(i) = i**2 - 5*i - 6. Let h be v(6). Let p be (-20)\/s*(5 - h). Solve -6*u = -p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/11 - -5\/22. Which is smaller: w or 17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d**2*d)\/d*d**(-4))\/(d**0\/d)**(-7\/2))**(-28) assuming d is positive.\nAnswer: d**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -23*b**2 + 3*b + 33. Let q(p) = -4*p**2 - 3*p + 2. Calculate c(y) - 6*q(y).\nAnswer: y**2 + 21*y + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5604596883 to the nearest integer?\nAnswer: 74864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7304080794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**3 + y. Let g(v) be the first derivative of 5*v**3\/3 - 1564. Determine n(g(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - d + 20 = -3*p, 3*d = -3*p + 15. Suppose -20 = -p*i - f, -i + 2*f + 3*f = 22. Sort 1, i, -3 in descending order.\nAnswer: i, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*s - 88*s - 2335*s**3 + 2340*s**3 + 178*s.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 228729589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3599*n - 3860*n + 4130 + 2917 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + s + 2*s + 2 = 0, 5*s = -3*r + 2. Let k(p) = -p**2 - p - 1. Let f(y) = 8*y**2 + 4*y + 8. Give r*f(j) - 6*k(j).\nAnswer: -2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 460449?\nAnswer: 4604490","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -137\/3. Let u = 2.42 + 0.68. Let k = u - 3. What is the closest to k in -5, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**2\/2 + 4*j - 3. Determine w(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/114902 and -115\/12?\nAnswer: 689412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50457.\nAnswer: 3, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by ((-34)\/(-8) + 2)*424\/265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 108*o - 26. Let c be i(4). Factor 8*s - 406 - 6*s**3 + 2*s**4 + c.\nAnswer: 2*s*(s - 2)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 31.082. Let f = -0.08087 - z. What is f rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 11 = -3. Let q(s) = s**p - 2*s**2 + 3*s - 3*s. Let h(n) = -13*n. Calculate q(h(j)).\nAnswer: -169*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x + 0*x + 2*x)*(-10*x + x + 4*x)*(-3*x**3 - 5 + 5).\nAnswer: -135*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11592, -23170, -34732, -46272, -57784, -69262, -80700?\n\"Answer: n**3 + 2*n**2 - 11591*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 984727259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*w = -2*w + 11, 0 = -3*l - w + 21. Suppose 2 = 5*a - l. Let v = -21133 - -21136. Calculate the remainder when v is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 210, 61 in descending order.\nAnswer: 210, 61, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w**2 - 8953*w + 3625*w + 5328*w.\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 729575 and 2695?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 9*n**2 + 7*n + 10. Let a be z(8). Let l be (21\/(-2))\/(9\/(-6)). Solve -3*c = 3, -a*c = -10*v + 5*v + l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3114859450 to the power of 1\/3, to the nearest integer?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjdjjjddjjj.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 71 - 14*n**2 + 10*n - 10*n**2 + 41*n**2 - 16*n**2. Calculate the lowest common multiple of y(-9) and 18.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 4, q: 2, h: 1}. Give prob of picking 1 m and 1 q.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553053 is divided by 2769?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19547*i - 19549*i - 14 + 14.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-345)\/(-20) + -7 + (-6)\/(-8). List the prime factors of (-3)\/(2 - m)*(-119103)\/(-29).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 5*x + 4. Give y(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7668905 divided by -4\nAnswer: 7668905\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 814 and 1554?\nAnswer: 17094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*v - 10*v + 5*v)*(-v - 3*v + 5*v - 5 + v + 5 + (0 + 2 - 1)*(3*v + 1 - 1)) to the form r*v**2 + i + z*v and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 1:08 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a2 + -4?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(3\/7))\/f)\/(f*f**(-2\/7)))\/(f**(-1\/6)*f\/f**(-2\/9)) assuming f is positive.\nAnswer: f**(-277\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47 - 13*p**2 - 4*p - 76 + 55 + 14*p**2 with respect to p.\nAnswer: 2*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 3*f + 36. Let m(g) = 3*g**2 - 8*g - 109. Give -17*j(q) - 6*m(q).\nAnswer: -q**2 - 3*q + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 5*t**2 + 3*t**2)*(6 + 3 + 0) + 0*t**2 + 0*t**2 + 2*t**2 - 2*t + t**2 + 2*t + (-2 + 2 - 1)*(-t**2 - t**2 + t**2) + t**2 + 0*t**2 + 12*t**2.\nAnswer: 62*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 59209 = 651304\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -7*p**5\/10 - p**4\/4 + 23*p**3\/6 + 2*p. Let d(a) = -441*a - 5*a**3 - a**2 - 453*a + 902*a. Determine -17*d(k) + 6*j(k).\nAnswer: k**3 - k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 257.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 159?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 11:34 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3166*u**3 + 30*u**2 - 14*u - 8. Let p(d) = -1056*d**3 - 11*d**2 + 5*d + 3. Let r(a) = -11*p(a) - 4*w(a). Let z be r(-1). Round z to the nearest 10.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832535495?\nAnswer: 5, 11, 15137009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -22. Let s(v) be the third derivative of v**6\/120 + v**5\/60 + v**4\/6 - 5*v**3\/6 - 22*v**2. Let c be s(n). Solve 0*o = 3*o - c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10211, -9227, -8243, -7259, -6275, -5291?\n\"Answer: 984*b - 11195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*w + 147*w - w**2 - 214*w + 38*w - 4502*w**3 to the form a*w**3 + y + h*w**2 + j*w and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**6\/40 + 3*o**5\/20 - o**4\/8 - 3*o**3\/2 + 2*o**2 - 6*o. What is d in y(d) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 10:55 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 (base 7) in base 5?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1460 or 37967\/26?\nAnswer: 37967\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24123 (base 7) in base 8?\nAnswer: 14140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 153 - -7. Let u be (20\/g)\/((-2)\/(-8)). Factor 0 - 3\/4*j**3 - u*j**4 + 1\/2*j**2 + 0*j.\nAnswer: -j**2*(j + 2)*(2*j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 32\/31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o\/(o**(-6)*o)*o)*o*o\/(o\/(o*o*o**22)) assuming o is positive.\nAnswer: o**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011321303 (base 4) in base 3?\nAnswer: -22102122021011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 14, 1, 21, 10, 4 in decreasing order.\nAnswer: 21, 14, 10, 4, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10224 by 6.\nAnswer: -1704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/29123072 and -1\/2288.\nAnswer: 378599936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3246158 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17129, 137312, 463759, 1099676, 2148269, 3712744, 5896307?\n\"Answer: 17201*i**3 - 74*i**2 - 2*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(114) - sqrt(114))*-4 + (sqrt(114)*-5 + sqrt(114))*3 + sqrt(114))\/(4*-1*sqrt(864) + -6*-3*sqrt(864)).\nAnswer: -11*sqrt(19)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 14 (b) 2 (c) 5 (d) 7607 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17894 - 11847. What are the prime factors of w?\nAnswer: 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1991837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-47.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.41 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkk when three letters picked without replacement from kkkkkkkkkdkkkkdkkkk.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (20 - (6 + -2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-18728462)\/2095)\/((-2)\/5).\nAnswer: 22349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29424326797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2074 and 610?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, 1\/426787, -2, -5, -0.1 in ascending order.\nAnswer: -5, -2, -0.1, 1\/426787, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 61*q - 4965. Give x(46).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 783657107?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*n + 12 = 4*z, n + 4 = 0. Suppose -4*b - 5*w = -40, -3*b = 3*w - z*w - 27. Solve -2*p + 2*y = 5*y - 20, 20 = b*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3369 - 1699. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 146.8341us?\nAnswer: 0.00000000024278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/3349085 and 11\/345712?\nAnswer: 53585360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**3 + 2*q**2 - 4*q - 5. Let l(r) = -6*r**3 - r**2 + 4*r + 4. Let p(s) = -5*j(s) - 6*l(s). Let t be p(5). Is ((-45)\/t - -2)*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 3*x + 108 = -2*t, 89*x + 84*x + 3*t + 147 = 170*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -210381, -210378, -210375?\n\"Answer: 3*y - 210384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2150 and 824?\nAnswer: 885800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (29 - 6 - -7) - 18.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/8 in 3\/14, 3, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neen when four letters picked without replacement from {e: 10, n: 4}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4512 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2559203572 - -13420463582615\/5244. Let t = -693\/76 + b. Calculate the common denominator of 13\/12 and t.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 427, 233, -23, -341, -721?\n\"Answer: -31*d**2 - 101*d + 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 25 = 9. Let s = a - 11. Suppose 9*b = 5*b + 8. What is the greatest common factor of s and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 921*a - 55776.\nAnswer: -3*(a + 83)*(a + 224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 0*n**4 + 6*n**3 + 0*n**2 + 0*n - 9\/5*n**5 - 13. What is the third derivative of y(r) wrt r?\nAnswer: -216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 271 + -271. Solve 5*q - 4*t - 28 = q, 4*q - 2*t - 24 = o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*r + 69 = 0, -2*r + 3*r + 104 = 4*w. Let m = w + -11. Does 27 divide 1732\/m + (-2)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) 7 (c) -14 (d) 1973 (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.338 and -9.33.\nAnswer: -12.48354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2 + 10*n + 2. Let t(x) be the second derivative of -x**4\/12 + x**3\/6 + 21*x. Let i(a) = 5*t(a) - z(a). Determine i(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - 4*b**4 + 4*b**4 + (b - 3*b**2 - b)*(17*b + 5*b**2 - 17*b) - 2 + b**4 + 2.\nAnswer: -13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from kakkveeevk.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + 0 + 2 + sqrt(18)*1)*2.\nAnswer: 6*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**3 + 21*k**2 + 90*k + 32796?\nAnswer: 3*k**2 + 42*k + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 3425?\nAnswer: -3426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2005467653 - 1\nAnswer: -1.2005467653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 732427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 483, 0.2, -2\/109?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from odbdobhbh?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31, 31, 33, 37?\n\"Answer: h**2 - 3*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h - 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, y: 3, h: 3, l: 4, f: 1}. Give prob of picking 1 l and 1 f.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11737, -11736, -11735, -11734, -11733?\n\"Answer: y - 11738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26953.\nAnswer: 26953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6661 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8ac + -12a3a?\nAnswer: -1215b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -1048, -3644, -8724, -17116, -29648, -47148?\nAnswer: -70444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2434450 rounded to the nearest one thousand?\nAnswer: -2434000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 3, e: 2, v: 4, g: 1}. Give prob of sequence vj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/45 or -1?\nAnswer: -14\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 11*a**2 + 135*a - 641. Calculate s(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-7)*(6 + 1). Let m(v) = -v - v + j + v. What is the units digit of m(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -24*s**2 - 20*s - 11. Let o = 6930 - 6913. Let b(n) = 8*n**2 + 7*n + 4. What is o*b(j) + 6*w(j)?\nAnswer: -8*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 39*k + 569. Determine t(-31).\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 105, 2, 31, -3 in descending order.\nAnswer: 105, 31, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6507 + -4?\nAnswer: -650b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5722, 5723, 5724, 5725, 5726, 5727?\n\"Answer: a + 5721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 3*w**6\/160 + 2077*w**5\/240 - 425*w**4\/16 + 58*w**3\/3 + 2*w**2 + 2069*w - 2. Find b such that u(b) = 0.\nAnswer: -232, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(108)*-2)**2)*-2 - (5 + 1*sqrt(12)\/sqrt(4))**2.\nAnswer: -12*sqrt(3) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.178899 millennia in years?\nAnswer: 3178.899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 42283.64 years?\nAnswer: 42.28364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from kvbkdcxxdxdxbxd.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, w: 1, m: 5}. Give prob of picking 1 b, 2 m, and 1 w.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1046167213 to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/15110 and -1\/1110.\nAnswer: 1677210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 406751 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 58, -8\/29, 5, 1 in ascending order.\nAnswer: -8\/29, 1, 2, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -7 + 6 + (-4 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from ngununnunnunnvn.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13142470 is divided by 1843.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 0*v**3 + 0 + 0*v**2 - 3*v - 1\/12*v**4. Let k(j) = -12*j. Let g(z) = 3*z. Let s(r) = 15*g(r) + 4*k(r). Determine f(s(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b**5 + 242790*b**4 + 2352355*b**3 - 6378840*b**2 + 5080940*b - 1297200 = 0. What is b?\nAnswer: -12, 2\/3, 1, 5405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 z when three letters picked without replacement from {p: 2, z: 5, s: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 5. Let f be k(7). List the prime factors of 1*(-51)\/(-3) - f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**2 - 22*u**2 - 126*u**2 + 2*u**2.\nAnswer: -136*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 5*j - 16 = 0, 4*v - j - 3*j - 20 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -4 - 2) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/224 and (-19)\/95 - 1164\/80?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -423, -848, -1273?\nAnswer: -1698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g + 38*g + 28*g - 1740 = -28*g for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*h - 13 + 13 = -553*h. What is the nearest to 3 in 3, 13, h, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d + 54 + 97 - 5 + 40 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 26414213\nAnswer: 26414215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*w + 19 - 0, 5*t - 63 = 3*w. Suppose -3*n = 927 - 1062. What is the remainder when n is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.0427 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 39894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60\/(4 - 9) + (-2 - -5). Let v be -2*15\/6 - l. Let x(n) = -n**3 + 4*n**2 - 2*n + 8. Let d be x(v). Solve 3*k + 4*b - 2 = -d, -k + b - 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1221352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m + 1. Let a(o) be the third derivative of -o**7\/5040 - o**5\/30 + 2*o**2. Let t(d) be the third derivative of a(d). What is 6*t(l) - v(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2066*u. Let r(j) = 42*j - 56 + 56 - 41*j. Give v(r(f)).\nAnswer: 2066*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*(sqrt(128)*-1 + sqrt(128)) - 3*(1*sqrt(128) + 3)**2) + 0.\nAnswer: -411 - 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36, 143, 322, 501, 680?\n\"Answer: 179*d - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 2*q + 12. Let i be j(-5). Let n be 2\/i + 3\/(-9). Sort n, 3, 4 in decreasing order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 q, and 1 u when three letters picked without replacement from {u: 1, q: 1, h: 8, x: 1, r: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Suppose 3*j - 98 - 49 = 0. Let v = j + -51. Which is the nearest to v? (a) 5 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**3 + 63*h**2 - 19*h - 22. Suppose 0 = 271*v - 270*v + 16. What is the tens digit of z(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, h: 3, n: 2, y: 4}. Give prob of sequence ynh.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/35)\/((-28)\/(-49))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 11, q: 9}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1027 (base 16) to base 14.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 23. Let r(y) be the third derivative of -y**4\/12 + 39*y**2. Give r(b(w)).\nAnswer: -2*w - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*w**2 + 5 + 18*w**2 - 4*w - 12*w**3 - 60 wrt w?\nAnswer: -36*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.1 + -28.8. Which is the biggest value? (a) 6\/11 (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -788*i**2 + 2*i**3 - 1496*i**2 - 4*i**3 + 382*i**2.\nAnswer: -2*i**3 - 1902*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 - 6*n - 2. Let j(i) = 20 - 7 - 7 - 3*i**2 - 7*i + 4*i**2. Let f be j(7). Let h(o) = -o. Determine f*h(g) - k(g).\nAnswer: 3*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-35)\/(-7) + 10\/2 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9366 - -9363. Sort 0.128, 3, 0.4, t in increasing order.\nAnswer: t, 0.128, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -208, -50, 59, -5, 3 in increasing order.\nAnswer: -208, -50, -5, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -22921067 and -22921067 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9735 and 424800?\nAnswer: 4672800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10046679\/731780 - 11\/20908. Let x = z + -8\/35. What is the common denominator of x and 23\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 13 - 2*b + 2*b**2 + 0*b - 3*b. Let n(d) = -d**2 + 2*d - 7. Let h(f) = -5*n(f) - 3*u(f). Let l(q) = q + 6. Let m be l(-3). Determine h(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i. Let c(o) = o - 2*o - o. Calculate n(c(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -33. Let i(g) = g**3 + 10*g**2 - 12*g + 13. Let z be i(v). Let a = z + -126. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40120 and 7897740.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (960\/(-35))\/(-6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*v + 2*a + 1125, 4*v + 3*a - 1149 = 0. Suppose 3*p - 53 = 4. Calculate the highest common divisor of p and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -547226.9834 + 546908. Let f = 319 + w. What is f rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2 + 2 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 805690 divided by 25990.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*h - 9 + 34, 0 = -i - 4*h + 25. Let n(u) = -4*u + 7. Let d be n(4). Let q = 11 + d. Solve q*a - 7*a = i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5*(-18)\/25)\/(8\/20). Suppose j - i*v = -6*v + 20, -4*j - v = -80. Solve j = 9*x - 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102010202223 (base 4) to base 14\nAnswer: -8b4551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 474662833 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 968.9 + -964.546. Round f to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3006 to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2744 + -193620757.5.\nAnswer: -193623501.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 10 + 8)*(-4*h + 2*h + 0*h**2 + 3*h**2) - 1 + 2*h**2 + 1.\nAnswer: 47*h**2 - 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(3\/(-6))*3\/6. Let n be 8\/(-44)*(-2 + 2 + a). Let y = 3.4 + -3. What is the closest to 1 in y, n, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -94088, -94077, -94058, -94031?\n\"Answer: 4*g**2 - g - 94091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 3*i**2 - 3*i. Let h be q(-2). Suppose 5*j - 51 = -h*u, -2*j + 0 = -u - 24. Solve -3*c = -3*k + 12, c - j = -6*k + 2*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*k - 18, 2*t + 4*k = 22. Let z be (-598)\/(-104) + (0 - t\/(-4)). Solve -6 = 5*m - 2*w, 5*m + 2*w = -0*w + z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -221 (b) -0.2 (c) -2\/13 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/20 + (-218)\/8. Let v = i - -40. Suppose 5*q - 5*b = 2 + v, -2*b + 2 = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/944 and -107\/96.\nAnswer: 5664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 103.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 2*u - 5. Let i(g) = -g**2 + 23*g - 27. Let l be i(21). Suppose -4*p - 55 = -l*p. Suppose 3*m = p*w + 7, -3*w = 3*m + 2*w - 17. What is b(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - ((19 - -66) + -69)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.36 - 0.01. Let p = 0.25 - m. Let g = 0.07 + -0.18. Is p bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1227679 to four decimal places.\nAnswer: -0.1228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2 + 272*w + 9248 = 0. Calculate w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 = -5. Factor 14*i + 42*i**4 + 2*i**2 - 6*i**z + 98*i**4 - 42*i**2 + 98*i**5 - 6*i.\nAnswer: 2*i*(i + 1)**2*(7*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7768)\/(-6)*54\/72 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(100\/15)*(-6)\/27?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -22*p + 344. What are the prime factors of o(-37)?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*d = -324*d - 123600. List the prime factors of d.\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 321*j + 4*j**2 - 321*j. Let l(q) = -2*q. What is f(l(h))?\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-9 - 0) + (-5 - (4 - 1))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 13\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 18*h - 19 = 5*h - 14*h, w - h - 9 = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 y when four letters picked without replacement from {w: 2, y: 3, f: 2, o: 1, x: 2, h: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 35*h + 206. Let g be c(-28). Suppose -53 = -3*r + 43. Let a = r - 2. Calculate the highest common factor of g and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 111111?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -21.01 (b) -436 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 7*h + 5*d - 88 - 94, -2*d = -10 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 140 - 133 + 47 + 78 + 9*r.\nAnswer: 9*r - 239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 + p**4 + 2 - 6 + 2*p**2 + 5 - 20*p**3 - 4*p**4 to the form b*p**4 + w*p**3 + r*p**2 + t + h*p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6646.\nAnswer: 2, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 2 (c) -1 (d) -105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.09, -1\/5, 6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 77*f - 1317. Let o be i(-27). Solve 195 - 30 = -o*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 - -2 - 3 - 13\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22169 - 576465\/26. Calculate the common denominator of 3720\/176*2\/10 and c.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47922 or -239611\/5?\nAnswer: -47922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-134 - 105) + -65 + 166?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 29, 5\/141, 0.07, -0.4, 1?\nAnswer: 5\/141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(10\/9)\/g)\/g)\/g**(-8\/9)*((g\/g**15)\/g*g)\/g*g**10)**(-1\/13) assuming g is positive.\nAnswer: g**(5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -9. Let s = -0.8 + 0.9. Let x = 1.1 - s. What is the second smallest value in -0.5, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 889 + -878 + -10 + 0 + (2 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 6. Suppose 0 = -391*v + 571*v + 11520. Suppose k + 0*m = 2*m + 73, -3*k = 3*m - 201. Let f = k + v. Give x(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5 + sqrt(475)*-2 + -1 + 1 + sqrt(19) + -2)*4*-2)**2.\nAnswer: -396288 + 13824*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 214, 165, 116, 67?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*17*30\/(-14)*-7. Is w smaller than -255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-84)\/378)\/(1\/(-9)). Let j(h) = -h + 2*h**2 + 7 - 8*h + h**3 + 3*h + 7*h + 4*h**y. What is j(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454816 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*132.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**5\/4 - 9*k**4 + 99*k**3\/2 + 568*k**2 + 3801*k\/4 + 441 = 0.\nAnswer: -4, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1801995, -3603985, -5405975?\nAnswer: -7207965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*r + 12*r - 5 + 17*r - 1 + 1 + r - 2*r + r + 0*r + 0*r + 2*r - r + (-2*r + 4 - 4)*(-5 + 1 + 2) + r + 3*r - 5*r.\nAnswer: -14*r - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10538.\nAnswer: 2, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3381147 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**4 + 3*b**4 + 3*b**4)*(-b + 3*b + 0*b) - 11*b**5 + 52*b**5 + 15*b**5.\nAnswer: 58*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13002084 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.2 - 39. Let t = o + -0.2. Which is the biggest value? (a) 0.1 (b) 1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + 31013?\nAnswer: 30440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (16 - -8) + (-211 - -127).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.345, 4067, 0.\nAnswer: -0.345, 0, 4, 4067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2610 and 41035.\nAnswer: 738630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (300\/(-40))\/3*8\/(-70).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 12\/7, -3, -5?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10716.8 rounded to the nearest 100?\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405400509 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4796*-0.01.\nAnswer: -0.024796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 4*d**2 - 1. Let p(f) = f**2 + 2*f + 2. Let t be p(-3). Let q be s(t). Calculate the greatest common divisor of q and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**4 - 3*b**2 + b**4 + 2 + 0*b**3 + b**4 - 16*b**3 + 2*b + 0*b**4 to a*b**3 + z*b**4 + f*b + t + m*b**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2 + 2)*(-2*k + 3*k - 3*k)*(8*k**2 + 74*k**2 - 14*k**2).\nAnswer: 136*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1002024 + 1242?\nAnswer: 1003321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 11*z - 10. What is the smallest common multiple of 32 and q(-6)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047336663 to five dps.\nAnswer: 0.00473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + i + 13 = -r, -i + 5 = 0. Let y be (-12)\/(-7)*(r + -1). Let k = 23 + y. What is k rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 11*i + 3. Let n = 33 + -22. Let z be o(n). Suppose 4*r - 1 = 5*v, -z*v - 6 = -4*r + 1. Solve -r*h + 4*q = 0, 2*h + 6*q = q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tokxtjxjtjj. Give prob of picking 3 j and 1 k.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + -2 + 3*-1. Suppose -4*f + 20 = 5*j, -5 = -j - f - o. Suppose 0 = j*g - g + 15. Let p(x) = x**2 + 6*x - 1. Determine p(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-152.08\nAnswer: -15.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 527452493*a**3 + 96103677*a + 1 wrt a.\nAnswer: 3164714958*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1517036, 1517054, 1517072, 1517090?\nAnswer: 1517108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w*w)**34\/(w**1*w)**(-15) assuming w is positive.\nAnswer: w**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5303.894 years to decades.\nAnswer: 530.3894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -68. Let k be (-28)\/(-15) - (-7)\/((-420)\/i). Factor -7*w**2 + 2*w - 7*w**k + 13*w**2 - w**2.\nAnswer: -2*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 164*r**3 - 387. Let f(s) = -3*s. Give f(t(k)).\nAnswer: -1476*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140 - 200. Let r = 6 - f. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 - 74. Suppose -s*b = 2*x - 10159, 4075 = 4*b - 2*b - 3*x. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90238871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - 1 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 129.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 458 and 21228071?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6. Suppose -3*o + 3*t = -12, v = 3*o - o + 4*t - 26. Let k = o + -4. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 - 89. Calculate the remainder when a is divided by (5 - 1) + (-2)\/(-4)*28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 8 - 2 = 0, -d = 4*s - 54. Suppose -11*l = -s*l. Let b be 24\/(-96) + (l - 1208002\/(-8)). What is b rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55681*b**2 + 1670 wrt b?\nAnswer: 111362*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (27\/15)\/((12\/40)\/1). Suppose 0 = -11*m + u*m + 80. Calculate the remainder when 60 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -117, -88, -25, 84, 251, 488?\n\"Answer: 2*v**3 + 5*v**2 - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3013 - 3?\nAnswer: -3022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**4 - 3*b**4 + 6*b**2 + 25 - 23 - 4*b**2 - 3*b**3 to the form q*b + d + g*b**4 + l*b**3 + h*b**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 3)*(m**3 + 2*m**3 - 4*m**3) + 2*m - 2*m + 5*m**3 + m.\nAnswer: m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 2, o: 1, c: 5, q: 4}. What is prob of sequence oq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2881 - 720. List the prime factors of r.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1 = -4. Let h = f - 3. Is h less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1160 by 5.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**3 + 2*g**3 - g**3)*(4 - 4 + 8) + (0*g**3 + 0*g**3 - 3*g**3)*(212 + 54 + 96) in the form t*g**3 + x*g + j + o*g**2 and give t.\nAnswer: -1070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 2\/541, 2\/11, -2\/63?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 = -j, p - 3*j = -6*j + 12. Solve p = -t + 77 - 72 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 - 42*o - 23. Does 2 divide b(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/20*(-7 - (-61)\/8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 at least 123\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*k - 169 - 44 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0 + 1\/24*h**4 + 1\/2*h**3 + 0*h - 1\/60*h**5 + 3*h**2. Suppose -3*y + 2 = -7. Give j(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+-494074875\nAnswer: -494074876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + -2 - (sqrt(2) - sqrt(162)))**2 + -4 - (2*sqrt(162) + 1 + -4)**2.\nAnswer: -319 + 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 5*g + 24. Let a be f(-7). Let d(k) = k**3 - 8*k**2 - 10*k + 6. What is the tens digit of d(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16758\/285)\/(19\/(855\/54)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-104)\/(-54) - (0 + 12\/(-162)). Let p(h) be the first derivative of h + 1 + 1\/2*h**z - 1\/3*h**3. Give p(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l + 3. Determine t(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 10*c - 5*c. Let j = 2 - c. Let p = -317\/11 - -29. Which is greater: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - 72.2. Let y = -67.1 + d. Let l = y + 59. What is l rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 847 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1, -0.1201, -508, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47104.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616 divided by 14.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7188 (base 10) to base 12.\nAnswer: -41b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 7*k**2 + 6*k - 9. Let n be z(-8). What is the derivative of -12 + 4 + 3*l**2 + n wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4957428 to the power of 1\/2, to the nearest integer?\nAnswer: 2227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -0*w - 4*w. Let n = w + -3. Suppose 3 = 4*p - 1. Solve 2*q = -2*g - g - p, 17 = -q + n*g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 23. What is the units digit of (-62)\/x*-3*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9276.08l in millilitres?\nAnswer: 9276080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 5)*((0 + 1 + 1)*(-1 - s + 1) + 841*s + 575*s + 132*s) in the form t + n*s and give n.\nAnswer: -1546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3299 + 3298.9. Which is the nearest to i? (a) 0 (b) 6\/7 (c) 1\/4 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + j - 1. Let w(t) = 7*t**2 - 6*t + 5. Calculate -5*n(d) - w(d).\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**3 + 34*q**2 + 10*q - 26. Let s be a(10). Let t = -522 - s. Solve -6\/5*v**3 - 3\/5*v**t + 0*v + 0*v**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*v + 4*v + 8, a + 2 = 3*v. Find c, given that 2\/3*c**3 + 0*c + v - 1\/3*c**2 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from {z: 2, x: 5, e: 7, a: 3, m: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -2. Suppose -15 = -5*r + n, 5*r + 2*n + v = 3*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10831308 - 3*x + 5*x + 10841111.\nAnswer: 2*x + 9803","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (-3*(sqrt(1100) - ((sqrt(1100) - sqrt(1100)*-2) + sqrt(1100) - sqrt(1100))))**2) + (0 + sqrt(1100) + 1)**2.\nAnswer: -38499 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 69 - 54 = 0. Suppose -14*d = n*d - 5567. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172079865 and 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/13848 and 23\/20772?\nAnswer: 41544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p + 248450 - 246712 = 0 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 778 + 18 + (1 - -5). Suppose -d + 4*a = 3*d - 640, -3*a - q = -5*d. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -12. Calculate the highest common factor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 646 = -0*n. Let w = -95 - n. Suppose 0 = -2*f - 4*f + w. Calculate the remainder when 113 is divided by f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 6*y - 4. Let b be m(3). Suppose -b*t = -4*t - 14. Calculate the smallest common multiple of t and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (15 - 6) - 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-768*y - 863*y**3 + 768*y)*(-6*y**2 + 2*y**2 + y**2) + 0*y**5 - 5*y**5 + 4*y**5.\nAnswer: 2588*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4536 is divided by 1500.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15392539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436270?\nAnswer: 2, 5, 43627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907400.\nAnswer: 2, 5, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - a**2 - 4*a + 4.\nAnswer: (a - 2)*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 32407713 times -5\nAnswer: -162038565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75917 is divided by 75908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 8. Suppose 5*i = 8*i - 9. Suppose p = y - r, -i*r + r - 5 = -3*y. Is -1 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*a + 15559 = 4598 - 11833 for a.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - 6. Let w(s) = 3*s + 11. Let o(p) = 8*p + 32. Let q(g) = f*w(g) + 4*o(g). Calculate the remainder when q(5) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40955572 or 40955592?\nAnswer: 40955592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-1 - -3) + -31 + 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -27\/10, 0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6*p + 2*p - 39, 51 = -5*p + 2*f. What is the units digit of p\/15 - (-115)\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4593694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 5*b - 25, d = -3*b + 2 + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -3. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 39*b**2 - 41*b - 38. Determine a(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4239112 and 4816.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1179*-0.02\nAnswer: -23.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -462284978*j**4 - 2701549*j**2 + j - 7 wrt j?\nAnswer: -11094839472*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 274 - 264 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven halves of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.2 and -36901.2.\nAnswer: -523997.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 2*b + 2, 0 = 4*p + 80*b - 75*b - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/4 + 30\/(-24). Let c be l - (-5 + 0 + 1). Suppose -3*z - 6 = 3*v, c*z - 5*v - 7 = 3. Which is bigger: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k - 8. Suppose -244 = 5*z + 21. Let n = 27 - z. What is the remainder when n is divided by x(7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -80, 4, -5, 1 in decreasing order.\nAnswer: 4, 1, -1, -5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 = 5. Suppose t = 4*k + 70, -y*t + 5*k = -212 - 213. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4259*s**2 + 5050 with respect to s.\nAnswer: 8518*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g + a + 4083, -3*g + 4083 = a. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15101 - 15101) + 4\/(28\/33)\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + 4. Let z = 91.8 - f. What is the second smallest value in z, 3, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(19*l - 4*l - 39*l) + 0 + 2*l + 0.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 62?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -2, -11, 1, 0.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*p + 453. Let q be p\/2*8\/28*7. Suppose -3*z + 667 = -2*s, -q = 3*z - 5*z + 3*s. Is 53 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (0 + (-18)\/(-1)). Sort 3, k, 4 in descending order.\nAnswer: 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**7\/126 - 2*u**6\/45 + 11*u**5\/30 + 16*u**4\/9 - 47*u**3\/6 - 30*u**2 - 8*u - 55. Suppose w(i) = 0. What is i?\nAnswer: -5, -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 6:44 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -1010010011?\nAnswer: 1010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p**2 - 20*p**2 - 3*p + 3*p + 96*p**2. Let i(b) = b. Give i(g(l)).\nAnswer: 86*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2177155321?\nAnswer: 11, 23, 83, 199, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3516160*w - 2944 = -3516224*w for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -238?\nAnswer: 237.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q - 3. Let u be o(-16). What is the common denominator of (6\/2)\/(u\/140) and 4\/(-6)*1695\/100?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -5*x - 227080. Let y = 593 - 589. Suppose 3*z = 3*r - 365575 - x, 3*z + y*r = -411012. What is z rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580620772 to the power of 1\/3, to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 2*q**4 - q**3 + (0 + 0 + 2*q**3)*(q - 2*q + 5*q))*(-13 + 13 + 3*q) + (0 + 0 - q**2)*(-111 + 111 + 12*q**3).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 231 = -10*f + 15*f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157755975631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/4848 and 121\/138168.\nAnswer: 276336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 >= -0.0994912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i - 3 - 4 + 1 - i**2. Determine b(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 5*m + 1, 0 = 4*j - 4*m + 3 - 11. Let r be 0 + 1 + j + -3. Let z = r - -3\/4. Is 0 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33180075 and 1796605?\nAnswer: 10385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65\/8 or -2?\nAnswer: 65\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*u - 1140 = -118*u. Solve i = 3*z - 5, 4*i - 2*z + 4*z = -u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28616039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 6*f + 12 + (0 + 1 + 1)*(2*f - 2 + 2))*(13*f**2 + f**2 - 5*f**2).\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000210653581 to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8989320958 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o + 33. Let t be h(17). Let k = t + -137. Solve 25*m**2 - 14*m**4 - 28*m + k*m**3 + 20 - 72*m - 31*m**4 = 0.\nAnswer: -1, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 14*q + 41. Suppose -112 = 105*t - 112*t. Let v be w(t). Solve -1 + 19 = v*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148281 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -59. Which is the biggest value? (a) -5 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 2 - 2 + (-1 + z + 1)*(2*z**4 - 9*z**4 - z**4).\nAnswer: -10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 i, and 1 q when three letters picked without replacement from ssiqnijwiqqwjwq.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6692 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 4)*(2*j**4 + 15*j**4 - 9*j**4)*(4 + 4 - 6).\nAnswer: -48*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -1)\/(42\/21). Let i(z) be the third derivative of 0*z**6 + 0*z + 0*z**5 + 0*z**4 + 1\/70*z**7 + y + 1\/3*z**3 + 2*z**2. Differentiate i(l) wrt l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 67*x**3 + 153*x**2 + 9*x + 5. Let d(p) = 33*p**3 + 77*p**2 + 4*p + 2. Let v(h) = -5*d(h) + 2*l(h). Find the third derivative of v(a) wrt a.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)*((t\/t**0)\/t*t)\/t*t)**11\/(t**(1\/3)\/(t**(-6\/7)*t))**(-1\/22) assuming t is positive.\nAnswer: t**(1817\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*1*-3)\/(-2*sqrt(81)) + ((sqrt(21) + (1*sqrt(1701) - sqrt(21)))\/(-2*sqrt(192) + sqrt(192)))**2.\nAnswer: sqrt(7)\/2 + 567\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + sqrt(306)\/(sqrt(6) - sqrt(54)))*5)\/((sqrt(432)*-2 - sqrt(432))*4)*-5*4.\nAnswer: 25*sqrt(17)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 1075*d**4\/8 - 394*d**3 - 365*d**2. Find the first derivative of w(s) wrt s.\nAnswer: 3225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 10.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q + 12 = 0. Suppose -q*h + 95 = 11. Is 21 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4852140 divided by 183\nAnswer: -1617380\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m**3 + m**4 + m**3 - 4*m**3 - 3*m**2 - 5*m**3 - 25*m + 2 as k*m**2 + b*m**3 + c + t*m + o*m**4 and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 + 6*q - 4. Let p be s(4). Let i = -3130 + 3120. Is i smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(3) + 1 + sqrt(243)*-1.\nAnswer: -8*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2604? (a) 5 (b) -1\/6 (c) -2\/17 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4966a (base 13) in base 14?\nAnswer: 37355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h + 1165 - 1165.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6*-14*-5. Suppose -3*g = -22 - m. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2306, 2308, 2310, 2312?\nAnswer: 2314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*l + 108, 26 = 2*l - 5*s - 40. What is the remainder when 89 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*w - 52, -w - 4*w - 16 = -z. Let d = -18 + z. Suppose -8*a = -5*a - d. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6454297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 65. Suppose x + 2 = g, 0 = 2*l - 3*x - 0 - 10. Suppose l*p + 0 - 16 = 0. Let w(j) = 2*j - 1. Determine w(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g**2 + g**2 + 4*g**2)*(5*g + g - 3*g) as i*g + b*g**3 + d + y*g**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-7)\/m)\/m*m)\/m*((m\/m**1)\/m)\/m)\/((m**(4\/7)*m)\/m**(-3)))**34 assuming m is positive.\nAnswer: m**(-3706\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -95340 divided by 1589?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201023230 + -33022?\nAnswer: -201122312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 303 = 157. Let u = g - -98. Suppose -u*w + 123 = -3*w. Is 41 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 127*z - 1603. Determine k(107).\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-13)*z\/z**(-9)*z*(z**2*z)**(-5\/7) assuming z is positive.\nAnswer: z**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19193115 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 25251.65 to the nearest one hundred.\nAnswer: 25300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -257\/2 + 130. What is the closest to -1\/3 in 1\/7, 14, u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9)\/((-10)\/(-45)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 11) in base 8?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-66)\/(-8) - (-1)\/(-4). Let b(k) = -4 + w*k**2 + 3 - 6 + 2*k - 2*k**2 - k**3. Let j be (-5 - -3) + 6 + 2. Determine b(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -100 in -3477.8, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/51*((-200)\/30)\/10.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1494114, 1494116, 1494118, 1494120?\n\"Answer: 2*j + 1494112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 526882700 a multiple of 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 - 47*a**2 + 20*a**2 - 1 - 40*a**2 - 62*a**2 in the form h*a**2 + v + g*a and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -187*j + 3. Is g(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 60. Let n be 4\/14 + 26\/7. Let m(a) = a + 6. Let u be m(-5). Put i, n, u in ascending order.\nAnswer: i, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 1 + -1 + -1. Is -3*211\/a*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3752\/65943?\nAnswer: 3752\/65943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 9740 = -t, -38978 = -8*c + 4*c + t. List the prime factors of c.\nAnswer: 2, 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l + 14 = 0. Suppose -l*n = -2*n - 15. Suppose -5*o = 3*b - 67, -2*b - 5*o = n*b - 105. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 + 5*w**2 + 4*w + 5. Let a be r(-2). Suppose -7*n + a = -6*n. What is the smallest common multiple of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 8:06 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/13 + 55784*t\/13 + 27660870\/13 = 0. What is t?\nAnswer: -27387, -505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/2, 32, 4\/5, 1 in descending order.\nAnswer: 32, 9\/2, 1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*3 - 306\/9. Let x = j - -33. Let c(o) = 2 + 25*o**2 - 23*o**2 - x. Let k(n) = 35*n**2. Calculate c(k(f)).\nAnswer: 2450*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*t + 33, 4*x = -3*t + 32 + 4. Suppose 528 = t*u - 152. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(100) + sqrt(4)))\/sqrt(5) + (sqrt(700) - sqrt(700)*2)*-3.\nAnswer: 181*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 820.8 + -821. Put i, -2, 198 in decreasing order.\nAnswer: 198, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (2 - (-18)\/3). Suppose -2*i + 0 = -p. Find the second derivative of 3 - 2*x**4 - 2*x - i wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1199\/(-66))\/((-16)\/(-1086)). Let t = 1232 + p. Let u = -2000\/17 + 9671\/102. What is the common denominator of u and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/145416 and 11\/1752.\nAnswer: 145416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 9. Suppose m = 2*g - g. Solve -f = -g*w + 3 + 27, -f - w = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -11*b**2 - 10 - 7*b**2 - 2*b**3 + b**3 - b + 2*b**2. Determine r(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1110011101011?\nAnswer: -1110011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 71*d**2 + 6*d - 12. Let j be b(-6). What is the second derivative of -19*i - 2508*i**3 - 17*i**4 + j*i**3 - 9*i wrt i?\nAnswer: -204*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 6*g**2 - 3*g - 5. Let h be y(-5). Let s be (-882)\/8*5\/h. Let i = s - 47. Calculate the common denominator of -11\/5 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 2. Suppose 20 = -4*j + 16. Let d = j - v. Solve w - 11 = 2*o, 5*w + 4 = -d*o - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2576 and 34132.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 488 (b) 0.2 (c) 1\/3 (d) 2\/9 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:07 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2767 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 73469.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2861208.9us in hours?\nAnswer: 0.00079478025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -410800 divided by 56.\nAnswer: -51350\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 584953 and 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68150 and 49726?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s - 59*s - 9 = -25*s. What is the greatest common divisor of 369 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5449489 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*g = -239*g - 22*g - 5499 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -755.6.\nAnswer: -755.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j + 18*j - 12012 = 0. Let i = j - -990. Is i a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 352 = 328 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5 - 67205*h**4 - 537681*h**3 - 1545871*h**2 - 1881952*h - 806556 = 0. Calculate h.\nAnswer: -3, -2, -1, 67213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*r - 22, 15*i - 74 = 10*i - 2*r. Calculate the lowest common multiple of i and 304.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 244 - 112. Is 33 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2964 + -2590. Let y(p) = 27*p**2 + 3*p. Let n be y(-2). Calculate the greatest common divisor of n and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 33647.9cm?\nAnswer: 336.479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(7\/((-14)\/4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 34842 = -2*g - 9*b, -20 = -5*b. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23543 and 156.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**2. Let p = -70 - -67. Let s be 5\/(-15)*p*(-2)\/(-1). Let t(r) = 0*r**2 + 12*r**2 - 3*r**s. Calculate t(c(m)).\nAnswer: 144*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.34509 minutes in nanoseconds?\nAnswer: 320705400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -274.\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -811115 or -811010?\nAnswer: -811010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/162)\/((-180)\/54). Is 4 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -6*s + 5*i - 29, 4*s + 31 = 3*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 52*n**2 - 52*n + 72. Let d be k(-53). Let m(u) be the first derivative of 0*u**2 + 0*u + d + 2\/9*u**3 + 1\/6*u**4. Factor m(w).\nAnswer: 2*w**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 675\/121 - 1787\/484. Find the common denominator of -127\/264 and j.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 f, and 1 z when three letters picked without replacement from {y: 1, o: 3, h: 1, f: 2, z: 1, n: 8}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/7 - 1718*z\/7 + 5172\/7 = 0. Calculate z.\nAnswer: -862, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {y: 5, r: 5, p: 1, d: 4, v: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26273080999 - 8*q**2 + 26273080999.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -28\/5. What is the second biggest value in -5, r, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*q + 21. Solve -5*l - 8 = -4*g, 1 = -l - g + q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 37*s**3 - 127*s**2 - 76*s. Let a(y) = 9*y**3 - y. Let u(k) = 4*a(k) - x(k). What is the second derivative of u(m) wrt m?\nAnswer: -6*m + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45\/17 - -1705\/34. What is the common denominator of q and 61\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -1*(-1 + sqrt(891)) + sqrt(891)*-2*-6)**2 + 5 + (5*(sqrt(891) + 3))**2.\nAnswer: 1566*sqrt(11) + 150810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*y + 18*y + 8*y)*(-2 - 1 + 1) to t + c*y and give c.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-3)*((-162)\/(-45))\/18\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -85, -89, -95, -103, -113, -125?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*m - 7 - 5, 4*h = -2*m - 8. Let a be 0\/((m\/(-2))\/2). Solve a*x - 3*x = -15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45293 - -47351.78. Let u = y - 1984. Let v = u + -74. Round v to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 25*a**2 + 6*a - 1. Let k be 20\/(-15)*(1\/(-4) - 2). What are the prime factors of t(k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 12:05 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13396.71182 + -0.06813\nAnswer: 13396.64369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2\/3 - 388476*j + 2330832 = 0.\nAnswer: 6, 582708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, i: 4, t: 1}. Give prob of picking 1 s, 1 t, and 1 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1814 and 14?\nAnswer: 12698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 14*m - 41. Let h be q(11). What is the nearest to -1\/2 in 3, 1\/11, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -59 (b) -2\/107 (c) 2.36 (d) 1 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 39*w + 2. Let z = 32 + -50. Let l be y(z). Round l to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.22 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.27? (a) -1\/2 (b) 30 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 11:41 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 2. Let m be s(8). Let j = m + 30. Let p(n) = -8*n + 9. Let r(q) = q - 1. Let t(g) = j*r(g) - 4*p(g). Let f(z) = -3*z. Determine t(f(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 6, h: 4, g: 4, y: 4}. What is prob of picking 1 d and 1 g?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3797*q**2 - 11240*q?\nAnswer: 7594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13366606*p**2*s + 1875487*p**2 - 8*p + 6*s**2 - 2 with respect to s.\nAnswer: 13366606*p**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uaflpfsl. Give prob of picking 1 s, 1 a, and 1 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (8\/2 + 4)\/((-3752)\/1878 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-149)\/((-40975)\/(-22))*5\/4\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3\/5 + 2\/5*p - 1\/5*p**2 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -730 and 68.9?\nAnswer: -50297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96200 = -136*j - 863*j - 481*j for j.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 71\/3, 113.99, -3?\nAnswer: 71\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 3216?\nAnswer: 9648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 664*w + 2478 - 57590 for w.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (286\/2145)\/(3*3\/60).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.364 * -0.18622.\nAnswer: -0.06778408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -972, -2557, -4120, -5661, -7180, -8677, -10152?\n\"Answer: 11*k**2 - 1618*k + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/9 (b) -114 (c) -2 (d) -2\/3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 68*r + 867. What is w(-13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*(1\/(-5) - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(3\/5)*k**(3\/4))\/((k*k*k**(1\/2)*k)\/(k*k**1*k*k*k*k)))**(8\/9))**(-14) assuming k is positive.\nAnswer: k**(-2044\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i. Let n(a) be the first derivative of 7*a**2 + 8*a + 14. Let f(h) = -5*h - 3. Let p(j) = 8*f(j) + 3*n(j). Determine s(p(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 287 - 289. Let y(p) = -p**3 - 4*p**2 - 4*p - 2. What is y(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9 = -24. Is 43452\/84 + u\/(21\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3369, -6427, -9483, -12537, -15589?\n\"Answer: z**2 - 3061*z - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 1)*(1 - 1 - 1) + (1 - 1 - 2)*(11 - 1 + 0))*(8*d - 9*d + 3*d).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2872403*l**2 + 10690*l + 10690. Let k(s) = 1075*s**2 + 4*s + 4. Calculate -10690*k(y) + 4*z(y).\nAnswer: -2138*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.13 and -7991827963775?\nAnswer: 7991827963775.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + (-25 + 40 - 51)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-13 + 4 + 2)*(-6 + 32 + 7) + 1 + 1 - 3)*(-3*t**4 - 2*t**4 + 3*t**4) to the form c*t + j + f*t**3 + l*t**2 + p*t**4 and give p.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2570 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: In base 5, what is 1100241 + 1241?\nAnswer: 1102032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 5*g**2 - 3*g + 12. Let q be v(5). Let w be ((-9)\/(-42))\/(q\/(-4)). What is the biggest value in -5, -2\/7, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 + 12*y**2 - 10*y + 8. Determine o(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60347 is divided by 2859.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 - h - 1. Let p(t) = 417*t**3 - 19*t**2 + 9*t + 3. Let g(l) = -p(l) - 3*v(l). Find the third derivative of g(j) wrt j.\nAnswer: -2448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5\/2 - 99*a**4\/2 - 804*a**3 - 4086*a**2 - 8688*a - 6624 = 0. Calculate a.\nAnswer: -4, -3, -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l**3 + 17*l**2 - 33*l - 91. Determine z(-4).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, 25, 115, 305, 631?\n\"Answer: 6*b**3 - 4*b**2 - 4*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 73094035 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 1\/21, 0, -1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -58 + 40 + 122?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 624*g - 159986.\nAnswer: 2*(g - 479)*(g + 167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d. Let c(r) = -5*r. Let i = -1 - 2. Let q(h) = i*c(h) - 7*t(h). Let s(k) = 14*k. What is s(q(u))?\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 - 1481825*l**3 + 4445520*l**2.\nAnswer: -5*l**2*(l - 3)*(l + 296368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/28)\/((244\/(-3904))\/(2\/16)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1463.4 - -1316. Let r = m - -115. Let c = 32.3999591 + r. What is c rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4))**(3\/13))**(-23) assuming b is positive.\nAnswer: b**(69\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 0)*(-1 + 2 - 3)*(-2 - 8 - 1)*(-2*m + 4 - 4) to the form i + u*m and give u.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 397194469471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 873886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48714962 divided by 4?\nAnswer: 24357481\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4852 by -4.\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b. Let j(o) = -11458*o**2 - 4*o + 8. Give j(x(g)).\nAnswer: -183328*g**2 - 16*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 386 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36683*l - 36686*l = -12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 + 12*d - 5. Let c(o) = o**2 + 6*o - 2. Let q(p) = -2*b(p) + 5*c(p). What is the units digit of q(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p + 11*p + 1055453 = 1050894 for p.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2875 and 31845375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**37\/(p**2)**(2\/11) assuming p is positive.\nAnswer: p**(403\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 29*b**2 + 14*b + 2. Let r be v(-14). Let i be -2 - 2\/(-4)*-2. What is the smallest value in i, r, 0.03?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284 divided by 142.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*s - 72*s = 284*s - 435 - 483 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/8)\/((-1)\/25194). Let c = 5 + -3. Calculate the common denominator of 21\/8 and q\/(-1690) - c\/13.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((z\/(z*z\/(z\/((((z*z**(-1\/3))\/z)\/z)\/z)*z)))\/z)\/z)**39)**(-38))**(1\/8))**(-41) assuming z is positive.\nAnswer: z**10127","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - -35. Suppose -5*c + 4*c + f = 0. Let k = -3 + c. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 44*n - 40. Let c be k(23). What is the second derivative of -7*g**2 + 2*g**3 - 22*g + 9*g + 12*g - c + 1 + 5*g wrt g?\nAnswer: 12*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftp when three letters picked without replacement from {h: 4, f: 2, p: 1, t: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrwwrrrurrwwrrrwr. What is prob of sequence wwru?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -71 (c) 2\/13 (d) 4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/(v**17*v)))\/v)\/v*v*v**(-18)*v**(1\/3)*(v**2*v)\/v assuming v is positive.\nAnswer: v**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/9 and -47\/1010?\nAnswer: 9090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 1. Let d(i) = -7*i**2 + 6. Let p be 11\/7 + (-68)\/119. Give p*d(y) + 6*j(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 322*o**3 - 2*o - 40. Let k(j) = 322*j**3 - 3*j - 53. Calculate -3*k(m) + 4*q(m).\nAnswer: 322*m**3 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-8))\/((-15)\/(-35))*-2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2150, -2149, -2148, -2147?\nAnswer: -2146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11*o + 15*o - o + 4 + 2 + 1. What is w(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*a - 27, 4*v + 26 = 2*a - v. Suppose k + 27 - 3 = 4*f, 0 = -f + 5*k + 6. Let h = f - -1. What is the remainder when h is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 16*s + 14 = -2*d, -9*d + 2*s - 54 = -89 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 9*k - 7. Suppose -3*q - 4*r + 146 = -5*r, 0 = -3*q - r + 142. Let x = q - 43. List the prime factors of o(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -272.3084503 to two decimal places.\nAnswer: -272.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 85 (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 26.83. Let s = -25972 + 103891\/4. Sort s, 0.5, n in ascending order.\nAnswer: n, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -15, -11, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-18)\/60*2072\/222.\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 7:44 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, c: 1, v: 1, b: 2, u: 1, i: 1}. What is prob of picking 2 x and 1 c?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 90*g**2 + g - 1. Let y(n) = 5*n - 1. Let s be y(1). Let d = -2 + s. Is f(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 10020112212111?\nAnswer: -10020112212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67702.42 centuries to months.\nAnswer: 81242904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9438975 and 239120700.\nAnswer: 717362100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*t - 10*t + 14*t. Solve t = 21*s - 111 + 195 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.17 and 0.331?\nAnswer: -0.05627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -377 + 510. What is the least common multiple of n and 9?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5*n + q - 4, -n + 5*q + 13 = 0. Suppose -f = -3*f. Suppose -4*c + 15 = -c - 2*x, 3*x - 9 = f. Solve -4*i + 16 = -4*m, n*i + m - 9 = c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 297\/108 + 3\/(-4). Suppose v*m + 38*m - 46720 = 0. List the prime factors of m.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 10. Determine r(24).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 436 divided by -5.\nAnswer: -436\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2160.19 - -2174. Let v = g - 14.5. What is v rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 7511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 8 (c) 3\/8 (d) -3.932\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-16))\/((-2275)\/(-364)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5547*m - 7 + 6 - 3400*m + 184*m - 8825*m to f*m + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 0*n + 0*n**5 + 0*n**2 - 13 - 38\/3*n**3 + 0*n**6 + 0*n**4 + 41\/7*n**7. Find the third derivative of h(f) wrt f.\nAnswer: 4920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4498663485?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 13*z + 4. Let d be j(-6). Suppose -2*t + 7*t - d = 0. Suppose 8 + 200 = t*i. Does 32 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d - 12. Let k be l(7). Suppose -p - 3*o = -8, 31 = 2*p + k*o - 1. What is the units digit of (-2)\/((p\/(-32))\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17187613*m**3 - 3*m + 17434993*m**3 + 69111405*m**3.\nAnswer: 69358785*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -476*n - 242*n - 18668 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 - 4*s - 6. Let p(u) = -4*u**2 + 3*u + 5. Calculate -4*n(t) - 5*p(t).\nAnswer: 4*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**4\/24 - 4*j**3\/3 + 5*j**2. Let i(c) = -8*c**2 + c - 1. Let x be i(1). Let r be m(x). Solve r = -4*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 29*l**2 + 4*l + 19. Let n be y(-13). Calculate the greatest common divisor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 48.99. Let z = -0.01 + d. Let p = z - 0.3. Round p to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by 42?\nAnswer: -43\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.95155m in nanometers?\nAnswer: 37951550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 5 (b) 378 (c) 358\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(42\/(-5926)) - (-12)\/(-42).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025 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: Collect the terms in 22*z**3 + 28*z**3 - 60*z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*l - 780, -2*l + 5 = 9. Let z = -258 + v. Solve 3*d - o - 14 = z, -d = -3*d - 3*o + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3274 + 3293. Solve s*w - 13*w = 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1502, -1505, -1508, -1511, -1514, -1517?\n\"Answer: -3*b - 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 4. Let b be n(-5). Let m = -3 + 0. Let w be m\/(-6) - 45\/10. Sort w, b, 4 in decreasing order.\nAnswer: 4, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-864 + 878 - (1 - -2)) + -27 + 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 831.331nm?\nAnswer: 0.000000000831331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.013 - 0.177. Let p = q - 37.81. Let a = p - -38.00016. What is a rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10179 - -111967\/11. Put u, -23, -2, -2.6 in ascending order.\nAnswer: -23, -2.6, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1092 and 3264079.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*o - 426, -3*r + 4*o = 209 - 516. Calculate the remainder when r is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 1\/9*b**3 + 0*b - 1\/180*b**6 - 1\/90*b**5 + b**2 + 1\/36*b**4 + 0. Solve g(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*k - 17. Let w(z) = 2*z**3 - 2*z**2 - z + 2. Let u be w(1). Calculate the remainder when 4*u\/(-6) + (-200)\/(-3) is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j*n**2 + 3*j - 84818*n**3 - 3*n**2 + 51658 wrt n.\nAnswer: -8*j*n - 254454*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:43 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**20*a**25\/a assuming a is positive.\nAnswer: a**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/552 and -41\/276.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9298050959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 0*k = k, -12 = 2*m + 5*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u)**(8\/5)\/(u**(-1\/2))**40*(u\/((u**(-4)\/u)\/u)*u\/((u**(1\/12)*u)\/u))\/(u**5\/(u\/(u**(-2\/5)*u))) assuming u is positive.\nAnswer: u**(1591\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2385 - -2665. Calculate the greatest common divisor of h and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/39)\/(-7*84\/147).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399 = 34*y + 23*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 24*c - 6468 = 0. Let f be (4\/6)\/((-22)\/c). What is the highest common divisor of f and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*j + 179*j + 2*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 20*r + 25. Suppose 3*u = -2 + 5. Let t(j) = j + 1. Give u*q(g) - 25*t(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 141573.\nAnswer: -1\/47191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**3\/3 - 3*l**2\/2 + 5*l + 2. What is the tens digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 505 + -503. Let y be (95\/4)\/(k\/174080*16). Round y to the nearest 1000.\nAnswer: 129000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, 3, 1, -6 in ascending order.\nAnswer: -6, -5, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7783859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4753 + 1529.1447. What is j rounded to the nearest ten?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65674493.\nAnswer: 59, 163, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrgxkrylrglkrlkrlkgy. What is prob of sequence glgy?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -18*l + 281. Let t be b(15). Solve -10*i = -t - 29 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*j - 1232 = -114. Suppose -3 = a - 55. Calculate the greatest common factor of j and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2) + -2 + sqrt(13) + 4 + -4 - (-5*2*sqrt(1053)*1)**2.\nAnswer: -105302 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) -2 (b) 0.06 (c) -0.27 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -48. Sort c, 2, 0.3 in descending order.\nAnswer: 2, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8728566*r**3 + 3709484*r wrt r?\nAnswer: -52371396*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 2\/13, 4 in decreasing order.\nAnswer: 4, 2\/13, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**2 + 11*b + 30. Calculate r(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7465 is divided by 373.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*3\/(-4)*44\/66. Suppose -g - 2*y = -1, o*y = g + 8*y + 8. Solve -k = 4*s - 9, 2 = 2*s - k - g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1. Let p(w) = -w - 4. Let j(q) = p(q) + 2*v(q). Determine j(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*i**5 + 4\/11*i**4 + 0*i + 0*i**2 + 2\/11*i**3 + 0.\nAnswer: 2*i**3*(i + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -31. Suppose -4*x + o*x = 50. What is the remainder when x is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 144*i + 441. Let k be l(3). Sort k, 2, 1, 39, -2.\nAnswer: -2, k, 1, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*z - 7, 0 = -z - 3. Let v = c - -7. Suppose -5*s - v*b + 25 = 0, -4*s - 3*b + 2 = -22. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*k - 7, 1210*j - k - 42 = 1218*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1600 and 3388.\nAnswer: 1355200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83417*j*t - 5*j + 1298831*t with respect to j.\nAnswer: 83417*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91227 + 69715. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 2*t + 2*t**2)*(-t - 3*t + 3*t) + 5 - 5 - 5*t**3 to the form x + z*t**2 + i*t**3 + s*t and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-9) - (-63 - -43)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/(-140)*(-4)\/24?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 364?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/117 and -31\/30.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -79776 divided by 4986\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:02 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -99369.\nAnswer: -99368.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q. Let y(u) be the third derivative of u**6\/240 - 3*u**4\/8 + 5*u**2. Let w(g) be the second derivative of y(g). Calculate w(p(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**4\/7 - 2*z**3\/21 - z**2\/7 - 5. Factor i(f).\nAnswer: 2*f*(f - 1)*(2*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12962 + 1017 + 3671)*(-4*f**2 + 4*f**2 + 2*f**3) to i + m*f**2 + b*f + v*f**3 and give v.\nAnswer: 35300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 89?\nAnswer: -106.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**2 + 7*b**2 + b**2 + (2*b**2 + 10*b**2 + 3*b**2)*(-18 - 1 + 14) to l*b + o*b**2 + u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((143\/11)\/(-429))\/((-2)\/36).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -354 - -355. Is ((-5)\/((-15)\/474) + -6)\/w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(12\/11)*g)\/(g*g\/(g**17*g)) assuming g is positive.\nAnswer: g**(210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from maam?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -14*x + 46. Let u be o(3). Solve -m = -3*w - 10, -u*w - 14 + 1 = -m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155775991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-19) - 1815\/627. Let w be (-10 + 2418\/15)\/(z\/(-10)). What is the highest common factor of 63 and w?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8807061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/6 + 50*h. Let u(b) = -2*b - 29. What is y(u(r))?\nAnswer: 8*r**2 + 232*r + 1682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 12 = 3*a. Let b(q) = -q. Let x(j) = 4*j - 2. Let h(g) = 6*b(g) + 2*x(g). What is h(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**3\/3 + 55*h**2\/2 - 61*h - 1. Calculate t(12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -18*x**3 + 5*x**2 - 17*x + 20. Let t be r(6). Let u = t - -22841\/6. What is the common denominator of 93\/392 and u?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h**3 - 16*h**3 + 3*h**3)*(15*h - 11 + 11*h + 10).\nAnswer: -520*h**4 + 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = -4*c + 13. Suppose 2*d + 4*n + 0 = 10, -d = 3*n - 2. Let h = d - c. List the prime factors of h.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {v: 4, r: 1, c: 1, z: 2, k: 4, j: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 97*v = 100*v + 4, -2*v = -r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**3\/6 - 5*j**2\/2 - j. Determine r(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011100110 (base 2) to base 3.\nAnswer: 12020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 10 + 2. What is the smallest common multiple of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**2 + 3*m**2 - 5*m**2)*((-2*m + 0*m + 4*m)*(-2 - 5 + 5) + m - 2*m - m + 6*m - 5 - 11*m + 6) - 8*m**3 + 8*m**3 - 8*m**3.\nAnswer: -63*m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/2)\/((-47340)\/(-2367))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76710 by -6.\nAnswer: 12785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*w = -293 - 2245. Calculate the highest common divisor of w and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -13*g - 43 - 38. Solve 98*a - 101*a - g = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/2944 and -61\/168?\nAnswer: 61824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/4)*s*s**(-1\/3)*s*(s*s**(-1\/2)\/s*s)\/s**(-7) assuming s is positive.\nAnswer: s**(113\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 584 a factor of 5454560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -7*g**6\/60 - g**4\/24 - g**3\/6 + g**2. What is the tens digit of u(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6464 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 300, 1221, 2756, 4905?\nAnswer: 7668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 9:49 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 3.1. Let x(t) = t**3 - 43*t**2 - 40*t + 41. Let d be x(44). Let s = -216 + d. What is the third biggest value in n, s, 15, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 16, -0.4, 4\/9, 0 in increasing order.\nAnswer: -0.4, -0.03, 0, 4\/9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0. Let m = -0.19 + 67.19. Let i = m + -66.95. Sort i, -2\/5, n in decreasing order.\nAnswer: i, n, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(5\/2)*(o**9\/o)\/o)\/(o**(-3\/4))**(-33))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 852 divide 431548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p - 3. Let f(c) = -2 + 4*c**2 - 3*c**2 - 2*c**2 + 3*c. Let q be f(3). What is the units digit of a(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39116088 and 4040?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 30*t - 60. Calculate p(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 28 - 785*t**4 - 796*t**4 - t + 1588*t**4 to w + v*t**3 + c*t + y*t**2 + n*t**4 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7717*g - 1714. List the prime factors of i(4).\nAnswer: 2, 3, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 9:21 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14995.\nAnswer: 5, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 7. Let u = -80.6 - -81. Which is the biggest value? (a) 2 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (420\/(-45))\/(4\/42). Let g = -96 - s. Solve -5*t = -3 - g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/2 - w**3\/6 + 17*w. Determine r(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -31, -1, -145, 0 in increasing order.\nAnswer: -145, -31, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.6 * -0.108613.\nAnswer: -0.7168458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 444694, 1778761, 4002186, 7114963, 11117086, 16008549?\nAnswer: 21789346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 1, 0.1, -11 in decreasing order.\nAnswer: 1, 0.1, -3\/2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 7*x**2 - 14*x - 31. Let b be c(9). Suppose b*z + 7606 + 6937 = 4*p, -z + 14549 = 4*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 5 = -147. Suppose -4*n - z*n + 92 = 0. Solve 2*c - n*u = -u + 7, 3*u - 28 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-6)*(4 - 0). Suppose z*t - 9 = -4*j + 11, 2*t = j + 30. Is (0 - -20)*t\/35 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 - 94 - 71 - 3*c**3 + 260.\nAnswer: -3*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**4\/15 + 10*m**3\/3 - 132*m - 21. Let n(k) be the first derivative of l(k). Factor n(s).\nAnswer: -4*s*(s - 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-7) - 1)\/(1420023540\/48966330 - 29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3069956 = 29757*m - 629882 for m.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -1089*c**3 + 6*c**2 - 3*c - 1. Is t(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**4\/4 + 4*z**3\/3 - z**2\/2 + 2. Let l be y(3). Let c = 6 - l. Solve -s + 7 + 1 = -4*v, -4*v - 8 = c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -90?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824 a factor of 28246464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-170) + 810\/(-38250).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 5816676*n + 5816674.\nAnswer: 2*(n + 1)*(n + 2908337)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -69\/4. Let p = -30 - -32. Let n = p - 1.9. Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -0.0046.\nAnswer: -6.0046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*g - 11 - 14*g**2 + 50 - 19 + 33 + g with respect to g.\nAnswer: -28*g - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171 + 171.346. Let m = -0.146 + c. Which is smaller: m or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.037 - -0.07858\nAnswer: 0.04158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*j + 4*n, 16 + 3 = 4*j + 3*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*v = 5*v + 68, -c + 17 = -3*v. What is the smallest common multiple of 11 and c?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 7)*((-2 - 1 + 4)*(x + 0 + 0) + (4 - 2 - 4)*(2 - 2 - 6*x) + 4 - 7 + 4 - 3*x).\nAnswer: 50*x + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(-4*sqrt(3159) + sqrt(3159) - sqrt(3159) - sqrt(3159))\/(sqrt(108)*-5 - sqrt(108)).\nAnswer: 1 + 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/10 - 3\/10. Let k = -69345 + 69339. Which is the biggest value? (a) t (b) k (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(11)*-2)**2 - (sqrt(88)*-1)\/sqrt(8).\nAnswer: -176 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/25 less than or equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8525129\/90 + 94725. What is the common denominator of k and 37\/230?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = m - 3 - 5, -f = -3*m + 16 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7469885399 rounded to 2 dps?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21 times 8236\nAnswer: 172956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/4 + 612\/144 + 148983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/11 - 342*z\/11 + 676\/11 = 0.\nAnswer: 2, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.23, 4 in ascending order.\nAnswer: -0.23, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 7. Let k be f(-6). Suppose -z = -n + k, -5*n - 2*z + 63 = -6*z. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 321*y + 24 = -324*y, 52 = 4*j - 5*y. Which is greater: j or -13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13890*o - 452360 - 447946 = 302153 - 35699 for o.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) -12 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 614173384 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + -1 + sqrt(5)))**2*-1.\nAnswer: -1080 + 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d - 2*q = 1, -2*d - 5*q = 16. Let l be -630 + d + 4 + -3. Let i = l - -5744\/9. What is the common denominator of i and -38\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 + 18*a**3 + 30*a**2 + 14*a.\nAnswer: 2*a*(a + 1)**2*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 y when three letters picked without replacement from {b: 7, y: 2, h: 7}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 + 36*v**2 - 6*v - 26. List the prime factors of b(-18).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45 - -1118.857.\nAnswer: 1073.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 2*d**3 - 58*d**3 + 55*d**3.\nAnswer: -d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117370 divided by 4.\nAnswer: -58685\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p + 6. Which is smaller: p or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -1, 4*i - 3*w = -0*i + 349. Let k be (-7 + -2)\/((-4)\/16). Let f = i - k. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 35*m**2 - 14*m - 8. Let z(v) = v**2 - 20*v - 48. Let q be z(22). List the prime factors of s(q).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -14, -28, -46, -68?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63686726*u**2 - 32683576.\nAnswer: 127373452*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*z = -2502 + 2498, 2 = l - 5*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -80. Let o(c) = 31*c - w*c - 12 + 4. Calculate o(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131987 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 625365.1 micrograms?\nAnswer: 0.6253651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121211200222 - -2?\nAnswer: 1121211201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73 by -39319.\nAnswer: -73\/39319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029015 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3\/2 (b) -5\/26 (c) 191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 0 - (-15 + (14 - -5) + 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 0, -12, -24?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*v = 1, 2*o + v = -2*v - 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from rzrzzztzzrzzzzrt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96980*b - 16 = -96983*b - 2*o, 5*o + 5 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428*5\/(300\/105) is divided by 53.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -141. Suppose y = 14*y + 4745. What are the prime factors of 2\/(-8)*y - 34\/z?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -174*p**2 + 2*p**3 + 6*p**3 + 129*p**2 - 5*p**3 - p - 138*p**2 + 6 in the form c*p**3 + w*p + a + z*p**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 1. Let c(t) = -4*t - 8. Let k = -63 + 57. Give k*f(o) - c(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -391? (a) -4\/5 (b) 1\/3 (c) 0.1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 2*k**2 - k - 4. Let a be y(6). Suppose 4*l + a = 3*l. What is the common denominator of -4 + 4 - l\/(-12) and 28\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let d(o) = 2*o + 2592. Determine d(h(b)).\nAnswer: 2*b + 2592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 0. Let r be 22\/p + (-5)\/(-20). Suppose -5*m + 27 = -r*b, -5*b - 7 = 2*m + 7. Calculate the remainder when m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i + 16. Let m be s(0). Find the third derivative of 50*w**2 + 22*w**2 - 2*w**5 - 92*w**4 - m*w**2 wrt w.\nAnswer: -120*w**2 - 2208*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 5\/(-3))*6. Let v = 6 + s. Let j(w) = 0*w**2 - 4*w**2 - w**v. Let k(a) = -a. Determine k(j(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/20 and 27\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwwwwwwlww. Give prob of picking 4 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*u + 440263*g**2*u - 20*g**2 + 2041*g - 1002*u - 1 wrt g.\nAnswer: -12*g*u + 880526*u - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100908?\nAnswer: 2, 3, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*g**2 - 804 + 25 + 20*g**2 - 434 + 3*g + 267*g**2.\nAnswer: 2*g**2 + 3*g - 1213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10b (base 16) to base 15\nAnswer: -12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1135, -3, -35 in decreasing order.\nAnswer: 1135, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 + 5*y. Let v be u(2). Let d be -5*((-24)\/(-10) + v). Find the common denominator of 109\/18 and 3*d\/(-192)*2.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x + 4*f + 29 = 0, -2*x + 31 = -5*f. Suppose 12 + 18 = x*c. Suppose -3*p + 5*h - 107 + 525 = 0, -c = 2*h. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514798*t**3 - 257274*t**3 - t - 257387*t**3.\nAnswer: 137*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a. Suppose 28*p - 13 = 15*p. Let n(x) = 5 - 2 + 23*x - 2 - p. What is q(n(h))?\nAnswer: -69*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208473.\nAnswer: 3, 69491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = 14. Let h be (1\/2)\/(73\/2336). What is the highest common factor of h and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.00791 times 14\nAnswer: -154.11074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 13. Let v be s(-9). Suppose 2*k - 2*i = 4*k - 12, -v*k - 2 = -3*i. Solve k*c = -2*t - 4, -4*t + t = -2*c - 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21068 is divided by 54.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11474977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/3528 and -1\/30.\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 + 3*u**3 + 1260*u**2.\nAnswer: -3*u**2*(u - 21)*(u + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1161422 (base 7) to base 10\nAnswer: -149417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**15\/o**(-17))\/(o*o\/(o*o**22)*o\/(o\/o**26)) assuming o is positive.\nAnswer: o**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*h - 1385 = -506 + 1365 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 m, and 1 g when three letters picked without replacement from {m: 9, k: 3, g: 1, b: 1, q: 4}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/932 in 0, 9, 4, -3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4390 + -4334. Let x = -5 + 6. What is the remainder when y is divided by ((-45)\/6)\/(x\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, b: 4}. Give prob of sequence brrb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1703 - -2545. Let r be (1 + 3)*(-64)\/(-1). Suppose 5*g + 238 - b = k, -4*k - r = -2*g. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) - (-44)\/12. Let l be ((-4)\/r)\/((-5)\/3). What is the third biggest value in 1\/3, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39166398 and 26172.\nAnswer: 78332796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**3 + 3*h**3 + 2*h**2 - h**3 + 1 + h**4 as p*h**2 + x*h**3 + j*h**4 + o*h + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - 74. Let k = 3 + 5. Let b be 6\/l*k + 3. Is 1 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37632 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 16 + 30 + (-42)\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 256*y**2 - y - 1. Let c be j(-1). Suppose -4*g = x - 55, -5*x - g = -0*g - c. What is the common denominator of (x\/18)\/(84\/(-45)) and 41\/10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100 - 43265?\nAnswer: -43365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(33\/6 + -5). Suppose r*u + 72 = 12*u. Let p(v) = 2*v**3 - 5*v**2 + 5*v - 2. Let n be p(2). Calculate the greatest common factor of n and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 12 = -9*m - l, -4*m + 12 = 3*l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-10) - (-22)\/(-55). Let k be ((-4)\/4)\/((-1)\/x). What are the prime factors of (7\/k)\/(4\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 2*c**7\/105 + c**6\/10 + c**5\/5 + c**4\/6 + c**2 - 8*c. Let u(t) be the first derivative of o(t). Factor u(g).\nAnswer: 4*g*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 + 12*s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 9*m = -13. Let w be (-104)\/((2 - 1)*-1). Calculate the greatest common divisor of m and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/119586 and 77\/409110?\nAnswer: 7773090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, h: 4}. Give prob of picking 2 f.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5610*y - 759. Does 11 divide l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**19*g*g**5 assuming g is positive.\nAnswer: g**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 11\/3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4608\/(-480)*(-20)\/6. Suppose -z = b - 42. Solve 0 = b*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.037 plus 4903?\nAnswer: 4907.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 minus 2289354?\nAnswer: -2289338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 18*y = -96. Suppose -2496 = 26*v - y*v. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/15 - 2)\/(3\/5). Let f = 3912 + -3912.3. What is the nearest to -1\/4 in f, -2\/21, l, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.114654l in millilitres?\nAnswer: 114.654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2431 - 1213. Suppose -l = -d + 4324. What is the remainder when d\/153 + 3\/(27\/(-2)) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4877756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, r: 2}. What is prob of picking 2 k and 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 12 = 2*q, -8 = 4*f + q. Let o(a) be the first derivative of -2*a**2 + 5*a + 42. Let y(z) = 3*z - 6. Let d(c) = f*y(c) - 2*o(c). Give d(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in months?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44242 * 2029.\nAnswer: 89767018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -47.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13375 + -13438. Let j(a) = -1. Let i(l) = 18*l + 21. Give d*j(u) - 3*i(u).\nAnswer: -54*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -777 from 4.2865.\nAnswer: 781.2865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26.3263, 1\/3, 0.5, -4.\nAnswer: -4, 1\/3, 0.5, 26.3263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/3)\/((-1)\/(2 - -1)). Let a = m - 60. Let p = 86 + a. What is the remainder when 31 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 22*w**2 - 23*w + 7. Suppose 0 = -4*a + 39 + 53. Let h be s(a). Suppose -h*n + 35 = -28. Which is bigger: n or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -0.0782352.\nAnswer: -2.0782352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 5787 - 5419. Suppose -4*m + 5*i = -43, m = -3*m - i + 25. Suppose -m*s + 17 = -u. Put s, -4, 5 in descending order.\nAnswer: s, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, -3\/5, 0.2, -0.3 in descending order.\nAnswer: 1, 0.2, -0.2, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*s = -6, 5*s = -2*l - 6 - 13. Let t be l\/(-4)*(2 - -18). Suppose -7*x = -3*x + 3*i - 49, 0 = -x + i + 7. Is x <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + j = -10, -2*j = 598*n - 599*n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idftfgtgtifxg. Give prob of picking 1 i and 3 f.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -110013 (base 6) in base 16?\nAnswer: -2379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/7 - 23\/63. Let u = -49\/18 + 2\/9. Which is the second smallest value? (a) u (b) -2\/15 (c) -4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**2 - q + 21. Give t(4).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -110323 (base 5) in base 9?\nAnswer: -5234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10365601151\/1224 + -8468627. Let r = -1\/408 + l. Find the common denominator of -19\/16 and r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/2)\/(10\/(-30)). Suppose -122 = -i*a - 5*k, -2*a + 37 = -5*k - 11. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 169317818 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogqvvfxvvvvvggqvvggv. Give prob of sequence qvqv.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2, 4*s + 2 = 4*c - 34. Let p = c - 14. Let y = -3 - p. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -258*b**5 + 2*b**3*o - b**2*o - 2548*o wrt b?\nAnswer: -15480*b**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1080.9909939 to one dp.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -249476*d**4 - 336 + 120 + 249874*d**4 wrt d.\nAnswer: 1592*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*j - j + 4*j)*(-4 + 1 + 2)*(-2*j + j**4 + 2*j**2 - 2*j**2).\nAnswer: 20*j**5 - 40*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/28*-2*(-23)\/(920\/210).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-3\/7)*g)\/g*g)**36*g**(1\/20)*g\/(g**(1\/6)\/g))**34 assuming g is positive.\nAnswer: g**(637687\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z**2 - 10*z - 217 + 97 + 5*z**2 = 0.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a420 (base 13) in base 16?\nAnswer: 28665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 21461.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.367, -0.2, -0.5, 3, 1\/3, -4 in descending order.\nAnswer: 3, 0.367, 1\/3, -0.2, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21226 - 11254. Is h a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*u + 6*u - 1277488*u**3 + 1351 + 1277590*u**3 wrt u.\nAnswer: 306*u**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -5, 2, 13, 28?\n\"Answer: 2*d**2 - 3*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(684) + 3)) + 5.\nAnswer: -5*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y**4 - 57*y**3 - 372*y**2 wrt y.\nAnswer: 72*y - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9953, -26304, -49053, -78200?\nAnswer: -113745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -59, -80, -91, -86, -59?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126088397 a multiple of 3208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3 + 1130*p**2 - 4496*p + 4488 = 0.\nAnswer: 2, 561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**4 - 1074*p**2 + 355?\nAnswer: 8*p**3 - 2148*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/2 - 1)*-1. Let h be 5 + -2 + a - -3. Suppose w - h*w + 15 = 0. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -732700 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 6:38 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -4*w - 50. Find the second derivative of -44*k + 14*k**2 + 29*k**2 - w*k**2 wrt k.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 3*y - 5. Let u be s(2). Solve 7 = -u*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662523899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -3)*(-2)\/(-4). What is the first derivative of -2*r**3 + r**3 + 4 - k - 1 wrt r?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58551 greater than or equal to 150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oamhommmza. Give prob of picking 2 m and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-7\/5)\/x**2)\/(x**(-2\/3)*(((x\/(x*x\/x**(-5)))\/x)\/x)\/x))**(-1\/19))**(3\/16) assuming x is positive.\nAnswer: x**(-47\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2\/5 (c) -1\/3376993 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-160))\/(45\/(-120))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d - 2 + 0*d**2 - 1\/6*d**3 - 5\/12*d**4. Let c(x) be the first derivative of o(x). Give c(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -12*w**2 + 4*w - 2. Let z be n(2). Let r be ((-424)\/6)\/((-28)\/42). Calculate the remainder when 46 is divided by z\/273 - r\/(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -3*f + 55. What is the remainder when f is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3766*j - 11*j**3 + j**2 - 3766*j.\nAnswer: -11*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(77) + (2*sqrt(77) + sqrt(77) - sqrt(77)))*4 - sqrt(77))\/sqrt(11).\nAnswer: 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -16*g**3 + 1136*g**2 - 3*g + 212. Give v(71).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/8)\/5*-62. Let w = s + -29. Solve -w*d = 4*g + 14, 0 = -2*g + g - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/9 + 40\/12. What is the second derivative of 7*t**4 - 7*t**4 + 0*t + 6*t**4 - l*t wrt t?\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z - 20. Let f be q(6). Solve u + 2*w - f*w = 10, 5*u - w = 23 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290 and 10680932?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 13) to base 4\nAnswer: -2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 56*z + 254. Let d(n) = -n**2 - 15*n + 192. Let p be d(8). Let r be o(p). Calculate the highest common factor of 26 and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -205 - -62. Let k = -24 - o. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4544.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 2*w - 30. Let k be s(-9). Let v = k + -7. What is the greatest common divisor of v and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 plus 1105?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + 12 + -15 - 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1088972722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 354339 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -1240013340?\nAnswer: 1240013332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-20) - (-94)\/8) + -2. Calculate the greatest common factor of 190 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 360509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**3\/3 + g**2\/2 + 2*g. Let x(k) = -76*k - 67. Let c be x(-1). Suppose c*v - 114 = -29*v. Give z(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/((k**3\/k)\/k*k))**(-15\/2)*(k*k**(-5))\/k*k**(2\/5)*k**(1\/6)\/k*k\/(k*k**(-6)) assuming k is positive.\nAnswer: k**(-104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1533114 is divided by 1032.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6601 is divided by 6586.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyu when three letters picked without replacement from uqwuyfqfqq.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 8*f + 9. Let j be t(7). Let q(u) be the second derivative of 1\/4*u**j - 5\/48*u**4 - 2*u + 0 - 1\/8*u**3. Suppose q(z) = 0. Calculate z.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**5 + 125*l**4 + 875*l**3 + 1675*l**2 + 930*l = 0?\nAnswer: -3, -2, -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5*q = -4*u + 2, q + 32 = 5*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 5. Let q be c(-9). Let u = -1 + 0. Let h = q + u. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17220 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9128*g**3 - 4*g + 2. Let j be c(1). List the prime factors of (-11)\/((-132)\/j) - 1\/2.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 10:51 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -26, 0.1, 0.5, -0.4, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (432 + 100 + 96)*(-2*r + 1 - 1 - 3*r + 4*r - 2*r + (-3 + 6 - 2)*(-5*r + 2*r + r) + 10*r - 3 - 2*r - 2*r).\nAnswer: 628*r - 1884","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-32))*o)\/(o**(-36)*o)*o**(-8)*o**(-2\/69) assuming o is positive.\nAnswer: o**(4138\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**3 + 0 + 1 + 5.\nAnswer: 12*u**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 850817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 25. Suppose p*v - 2 = 2*v - s, -5*v + 4 = 3*s. Which is the nearest to v? (a) 1\/3 (b) -2\/9 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -552 + -2124220?\nAnswer: -2125212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**2 - 5802727 - 2*z + 2*z + 5802748. Let t(i) = i**2. Determine q(t(v)).\nAnswer: -4*v**4 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64897 and 38227.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*a + 3*a - 10*a)*(35 - 13 + 13).\nAnswer: -875*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 3\/21699053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2138*s + 290347. Determine p(136).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -13*f**2 - f - 4. Let t be d(3). Let n = t - -67. Is n\/(-4) - (-1)\/(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 2*x - 7. Let c be t(5). Let z = c - -52. Let o(u) = -5*u + 307. Let k be o(61). Solve -5*i - 19 = -2*s, k*s - 4 + z = -4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -54, -3, 3\/4, 4, -3\/8, -0.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, p: 1, c: 3}. What is prob of sequence ccp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/4*36\/162*3. What is the highest common factor of g and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5341 - 24?\nAnswer: -5405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - f**3 - 5*f**3 + (-190169*f**2 + 1 + 190161*f**2 + 2)*((2*f + 0*f - 4*f)*(0 + 2 - 1) + (2*f - 3*f + 0*f)*(2 + 1 - 2)).\nAnswer: 17*f**3 - 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24380703 divided by -5?\nAnswer: 24380703\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2686\/189, -0.3, -1, -12, -5 in descending order.\nAnswer: 2686\/189, 1, -0.3, -1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 585*r**3 + 6*r**2 + 12*r. Let p be c(3). Suppose 25*v + 1235 = p. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204\/3567 + 26\/(-39)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1949, -1952, -1955, -1958, -1961?\nAnswer: -1964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5))**(-1\/19)*(a\/(a\/(a\/(a**(-3)\/a))))\/(a\/(a*a**6))*((((a\/(a*a**4*a))\/a)\/a)\/((a*a*a**(-1\/9)*a)\/a))**(-6\/7) assuming a is positive.\nAnswer: a**(37187\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Let t(w) = -w**3 - 3*w**2 + 16*w + 4. Let d be t(-7). Let u be (-16)\/d + 34\/66. What is the smallest value in i, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 54*u**2 - 13*u - 745. Let f(j) = 25*j**2 - 6*j - 372. Give -13*f(d) + 6*o(d).\nAnswer: -d**2 + 366","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.7 - 1.7. Let n = 15.99945 - b. What is n rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j**2 + 11*j + 2. Give t(3).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 2. Let g be p(-1). Let y(l) = -l**2 + 0*l**2 + 4*l**2. What is y(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 17*x - 91. Is 15 a factor of 4\/x*-6 + 1354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3417 - 0.34176972. Round o to six dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 418*y + 115363. Give i(-276).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-3*b**3 + b**3 + 4*b**3) + b**3 + 0 + 0 - b**3 + 2*b**3 + 5*b**3 + (-b**2 + 2*b**2 - 2*b**2)*(-107 + 107 - 9*b).\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 - j**3 + 2*j**3 + (j + 3*j - 3*j - j**2)*(4229 - 669*j - 4229).\nAnswer: 670*j**3 - 669*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1738*c**2 - 820*c**2 + c + 1022*c**2 as w + p*c**2 + x*c and give p.\nAnswer: 1940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 7*z - 5. Let a be o(6). Let i(n) be the third derivative of 109*n**4\/8 + n**3\/3 + 17*n**2 + 8*n. Is i(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 3*g**2 + 50*g - 31. Give d(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/((-16)\/(-900)) - -2?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 11 = -13*d + 9*d, 4*a + 5*d - 2 = 0. What is f in 1\/5 - 2\/5*f**a - 1\/5*f**4 + 0*f**2 + 2\/5*f = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 84*d + 1215. Determine y(-19).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3)*-17*3. Solve 5*t = -2 + p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (189\/21*7)\/(120\/(-80))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12022232 (base 4) to base 5\nAnswer: -1302022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + 2*o**2 - 5*o**2 + 4*o**2 - o**2 - 2*o**2 + (-o - 2*o - 4*o)*(-o - 4*o + 4*o) + o**2 - o**2 - 2*o**2 + (3*o - 5*o + o)*(-o + 2*o + o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwwzikw. Give prob of picking 2 w and 1 k.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/58662808 and 75\/80768?\nAnswer: 938604928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 510 by -10.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.24 + 9.34. What is the closest to k in -3\/55, 2\/17, 0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 5*((sqrt(1088) + 2 - sqrt(17)) + sqrt(850)\/sqrt(2))*-6)*-5)**2.\nAnswer: 1152000*sqrt(17) + 55182400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*o + 8*u, -u + 3*u = 5*o + 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 15) to base 7\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 5*t + 16, 2*t = p + t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 3*z**2 - 5*z + 3. Let f be l(4). Let y = 1310 - 1309.97. Which is the third smallest value? (a) -0.2 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(((o\/(o*(o*o*o**(2\/13))\/o*o)*o)\/o)\/o))\/o)\/o**(2\/11))**37 assuming o is positive.\nAnswer: o**(15725\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001709871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6622 and 3376274?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqmeedeqqqmwddee. Give prob of picking 1 q, 1 e, and 1 d.\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v - 18. Let b be m(8). Let a = 36 - 20. Solve -2*x - 1 = -5*f - a, -3*x - f + b = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 255*b + 2552. What is o(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 4:10 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -5*g**4\/12 - g**3\/3 - 2*g**2. Let b be s(-2). List the prime factors of b\/(-63) - 51\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001744 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48538 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-475)*(-30)\/36*1?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 73 - 17 - 22 - 18*f**3 - 17.\nAnswer: -18*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3*m**2 - 2*l**3*m - 62*l**2*m + 44*l*m**2 + 3*l*m + m**2 wrt l.\nAnswer: 12*l*m**2 - 12*l*m - 124*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.245, -0.29, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1076.70887 and -1.\nAnswer: 1076.70887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 468 and 3276.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -435, -411, -385, -363, -351, -355, -381?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**3 + 7*v**2 - v - 1. Let a(x) = 16*x**3 - 22*x**2 + 4*x + 4. Determine 3*a(t) + 10*s(t).\nAnswer: -2*t**3 + 4*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 15. Suppose 3*u = -6 + m. Differentiate y**3 - 2*y**u - 9 + 10 with respect to y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(-30 + 30 + 28*c) in the form i + q*c and give q.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69659 and 9881?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 14392*p**2.\nAnswer: -2*p**2*(p - 7196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 7:12 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(55) - sqrt(110)\/sqrt(2)) + sqrt(55))*1 - sqrt(55)))\/(sqrt(176) + sqrt(176)*-2*6 - sqrt(176)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10*2)\/5)\/(4\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.23 - 2.23. Which is the second smallest value? (a) -0.5 (b) f (c) -2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 3, -28 in descending order.\nAnswer: 3, 1, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*c - 29 - 56 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3254*b**2 - 52*b + 12. What is the tens digit of j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -75 and -68 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-17)\/85)\/((-2)\/(-15)). Let r = 145\/217 - 3\/31. What is the smallest value in a, r, 1\/10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/446 and 95\/126.\nAnswer: 28098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7875.99968352 - 7876. What is q rounded to 6 decimal places?\nAnswer: -0.000316","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000986 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.91 + -0.09. Let p = 65.45 + -67. Let m = -1.6 - p. Which is greater: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 - 10 - 33*q**2 + 34*q**2 wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 5*d**2 + 0*d + 1\/105*d**5 + 0 - 1\/42*d**4 - 1\/840*d**6 + 0*d**3. Factor k(o).\nAnswer: -o*(o - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 2*x + 92. Calculate z(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 47?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/8)\/j)\/(j**(-5)*j)*j**(4\/13)*j\/(((j\/j**18)\/j)\/j) assuming j is positive.\nAnswer: j**(2437\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-16) + ((-9)\/4 - (27 + -32)). Determine b, given that -2 + 143*b**j - 121\/2*b**4 - 213\/2*b**2 + 26*b = 0.\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/8, -2\/5, -2\/11, 2\/9, -31, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - g + g + 12 - 25*g**2.\nAnswer: -25*g**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 14*v**2 + 8*v**2)*(16*v**2 - 9*v**2 + 9*v**2).\nAnswer: 368*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16437*f + 16450*f - 668 = 2*q, 4*q = 2*f - 88 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*n - 2328 = 0, -3*c + 2*n - 5*n - 1746 = 0. Let b be 0 - ((-622)\/2 - 1). Let i = c + b. What is i rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 34*n**2 + 30*n + 1. Let c be q(1). Which is smaller: 64 or c?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -86*l**3 + 5*l**2 + 43. Let g(c) = -85*c**3 + 6*c**2 + 44. Let p(v) = -5*g(v) + 6*k(v). What is the derivative of p(z) wrt z?\nAnswer: -273*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43 or 2\/13?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (171\/(-228))\/(45\/(-8))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 8*w - 4*c - 402, 2*c - 4 = 0. Suppose q - 6*q + 450 = 5*h, 0 = -q + h + w. What is the least common multiple of 4 and q?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -521*a + 1416. What are the prime factors of z(-18)?\nAnswer: 2, 3, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01595 - 1999.98405. Let l = b - -1998.211. What is l rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d = 20. Let u(a) = a + 3. Let j be u(d). Let q(y) = y**3 + 5*y**2 - 1. Let x be q(-5). Sort x, 0, j in decreasing order.\nAnswer: 0, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssswsnnnnsnsnnsnsnns. What is prob of sequence wsn?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*s - 520 - 2*s + 562 with respect to s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -280.425 and 0.2448?\nAnswer: -68.64804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464286878?\nAnswer: 2, 11, 23, 37, 24799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1013644 by -1013644.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 418964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.7655ml in litres?\nAnswer: 0.0667655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2726651 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1592871*y + 2*y**2 + 3 - 1592871*y.\nAnswer: 2*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52 times -0.11?\nAnswer: 0.0572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-nine quarters of a millennium?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.4 + -93.3. What is u rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*n - 3*v + 2*v, 0 = 2*n + 2*v + 18. Are -10 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27042 - -132.\nAnswer: 27174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + p + 100 = 0, -49 = -l - p - 9. Calculate the lowest common multiple of 4 and ((-7)\/l)\/(1\/(-415)).\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*x + 4*x + x**5 + 3*x - 9*x**5 wrt x.\nAnswer: -160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zykcyk. What is prob of sequence kc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -187663 * 0.097\nAnswer: -18203.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 = 6*g. Suppose g = 4*k + 7. Let j(h) = -6*h - 1. Let y be j(k). Solve -3*z + 6 = 0, 6*z = y*l + 5*z + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 247 and 1102874.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 35 = 2*k, -4*i - 2*k + 16 = 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657491 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 6*k - 12. Let d(c) = c**2 + 5*c + 11. Calculate -6*d(s) - 5*q(s).\nAnswer: -s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9787 times 1206?\nAnswer: 11803122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmy when three letters picked without replacement from {g: 1, h: 2, m: 1, y: 1, l: 1, z: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 66*l**2 + 592*l. Let s(x) = 123*x**2. Give n(s(y)).\nAnswer: 998514*y**4 + 72816*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -40.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 556 + 29. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y**4\/5 + 23226*y**3 - 813132*y**2\/5 + 1394064*y\/5 = 0.\nAnswer: -19362, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150358985 is divided by 1742?\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 31*i = -16*i - 61591, 2*p + 2*i = 30746. Calculate the smallest common multiple of p and 14.\nAnswer: 107548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3668699*o**2*z + 234594*o*z - 4*o + 2*z wrt o.\nAnswer: -7337398*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p*p\/p**(1\/13))\/p*p*p)))\/p*p**(-3\/14)*(p**(-2\/77)\/p*p)\/p*p\/(p\/p**6)*p assuming p is positive.\nAnswer: p**(15381\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5839559?\nAnswer: 11, 530869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**21\/(k\/k**(-5\/9)) assuming k is positive.\nAnswer: k**(175\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/6 + 53*b\/6 = 0.\nAnswer: 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1384*a = -1170*a - 4708 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42656716 (base 8) to base 15.\nAnswer: -c06363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-9 + 2 - -22)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/7 + 3*d**2\/7 + 3*d\/7 - 3\/7.\nAnswer: -3*(d - 1)**2*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3))\/((-2)\/(-9)). Let j(a) = -7*a - 2. Let z be j(f). Let i = z + 49. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 3. Suppose -12*p + 46 + 14 = 0. Determine s(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592 = 163*c - 89*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 7) to base 14\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 16. Suppose 12 = 2*k + x. Suppose -3*z + k*t - 6 = 6*t, 12 = -4*t. Solve -l + z*y = -0*y, -3*l = -3*y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -91 + 0*f**2 + f**2 + 91 + 3*f**2. Let b(p) = -753*p - 2. Calculate a(b(d)).\nAnswer: 2268036*d**2 + 12048*d + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -20412*y - 6. Let t(z) = 20411*z + 8. Let p(h) = -5*c(h) - 6*t(h). Let r be p(-3). 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: How many microseconds are there in 97.77602 weeks?\nAnswer: 59134936896000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**3 + 10*x**2 - 3*x - 4. Let c(o) = -9*o**3 + 19*o**2 - 5*o - 9. Let y(f) = -4*c(f) + 7*v(f). What is the units digit of y(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -19\/2, 16, 1, 2934, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*j - 66 - 93, 0 = -2*j + 4*c + 54. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 0*b**2 + 0*b**3 - 1 - 2*b**2 + b**3 - 2*b. Let j be c(3). Find the second derivative of i + 2*i - i**j - i wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 17*b**2 + 58*b - 77. Let y be v(13). Is y at least as big as -4\/7077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1626187 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0913 + -15.\nAnswer: -14.9087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16397, -16443, -16469, -16463, -16413?\nAnswer: -16307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 5. What is the second smallest value in -1, 0.4, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 7*c**4\/24 + 2*c**2. Let i(j) = 3*j. What is i(w(h))?\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.131 + -0.134. Let w = -1269.3 + 1274.397. Let j = w - l. What is j rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-503 + 242 + 137)*(6*t**3 + 1403*t**2 - 1403*t**2)*(t - 2*t + 0*t) to k + q*t**3 + h*t + v*t**4 + x*t**2 and give v.\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 168, 57, -58, -177?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 735639559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -24. Suppose 2*d - 3*w = 326, -2*d + 294 = -0*d + p*w. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 51 + -49 + 11\/1. What is the highest common factor of 481 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132453510 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-52)\/28 + 2 + (-760)\/28. Sort v, 3, -1, 1.\nAnswer: v, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-4)\/(28\/(-7))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3806 at least as big as 3802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(44)\/sqrt(4) + 3 + 4*sqrt(11) + sqrt(11).\nAnswer: 8 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 119\/(-102)*(-11)\/((-693)\/(-4))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9425527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*m + 17 - 6*m - 3 wrt m?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5 or 7\/9?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.83 - -4.23. Sort 1, -0.4, -0.12, s.\nAnswer: -0.4, -0.12, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 39 - (351 - 371).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 + y - 1. Let r be m(1). Let w(s) = 2*s - 4. Let n be w(r). Calculate the common denominator of -77\/8 and 372\/n + 3\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 6770 (b) -1.6 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w**4 - 21*w**3 + 2*w + 283?\nAnswer: -36*w**2 - 126*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**4\/24 + t**3\/2 + 19*t**2. Let k be s(-2). Suppose -4*q = c - 97, -c - k*q = 3*c - 333. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 35690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93 in 216, -3, 2, 1, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -25?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 33*c - 30 = 0. Suppose -c*v + 2*v + 12315 = 5*j, 0 = 4*j + 4*v - 9856. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/10)*d\/d**(-10) assuming d is positive.\nAnswer: d**(109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 12:39 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162 + -142 + (3 - 25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:50 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73858 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-9) - (4 + -2). Let q(u) = -u**3 - 5*u**2 + 6. Let n be q(-5). Let r be (-11)\/12 + 4\/n. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2665 is divided by 296.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**7*h*h**(1\/8) assuming h is positive.\nAnswer: h**(65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38848345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39610 and -0.3?\nAnswer: -11883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43602 - 107?\nAnswer: -43709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(6\/(-28))\/((-216)\/48).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 53*l**2 - 134*l + 797. Give z(-50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 28*n**5 - 7*n**4 - 3*n**2 - 7*n. Let x(l) = -14*l**5 + 4*l**4 + l**2 + 4*l. Let h(r) = 4*m(r) + 7*x(r). Find the third derivative of h(w) wrt w.\nAnswer: 840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 662 + -656. What is the remainder when h is divided by 12\/10*5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 8:17 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*d**3*p - 2*d**3 - 10*d**2*p**3 + 4*p**3 + 8*p wrt d?\nAnswer: 12*d**2*p - 6*d**2 - 20*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75867 - 405599548?\nAnswer: -405599547.24133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 2\/13, 3, -1.379?\nAnswer: -1.379","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 - 6*d - 6. Let q = -4 - 3. Let x(a) = 3*a**2 + 7*a + 7. Let t(m) = q*h(m) - 6*x(m). Let c(y) = 4*y. What is c(t(n))?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*m + 17 = 0, 2*m = 3*z - 8 - 6. Let r(k) = -2064*k**2 + 7*k - 4. Let i be r(z). Round i to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 311 - 35. Solve -284 - 10*s - 2*s**2 + v + 2*s = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-6)*9\/15 + 5. Let s(m) be the first derivative of -1\/3*m**t + m**2 - 5 + 0*m. Calculate s(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (798 - 32*g**2 - 798)*(g**2 + 3*g**2 - 5*g**2).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3731.\nAnswer: 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 - 2. Let g = 0.14 - d. Sort g, -2\/5, -7 in decreasing order.\nAnswer: g, -2\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 5*z + 5*m - 86, -58 = -z - 2*m. What is the greatest common factor of z and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 13*q**2 - 15*q - 32. Suppose 4*c + 3*b = 3*c - 12, 2*b + 36 = -3*c. Let d be s(c). Solve 8 = -2*a + d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/10 of a decade?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 780*j - 4714. Calculate y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -157644 divided by 261\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.3 - 5.3. Let r = 0.2 + 0. What is the biggest value in r, -0.3, l, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 7*r**3 + 8)*(-1 - 2*r + 1) + (r - r - 2*r)*(0*r**3 + 3*r**3 - 5*r**3).\nAnswer: -10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 3*k + 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000130389062 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(-14)\/(-28)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3802\/1307997 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 35*b + 342. Calculate i(28).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-147)\/(-33) - (-24)\/44. Which is bigger: w or -20?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 505.4 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (-3 + -1) - (38 + -60 + 28).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7702 (base 10) in base 8?\nAnswer: 17026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 v when four letters picked without replacement from {g: 10, v: 2}?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/4 (b) -14 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4932 divided by 274?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 237089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-396)\/(-16))\/((-1)\/(-92)). Let a be s\/209 - (-2)\/19. Suppose 2*v - v = 3, 2*v + 225 = 3*y. Calculate the greatest common divisor of a and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 13185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 147\/(-14) + 17 + 14\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26676646 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 18. What is the nearest to 0 in p, -2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 935053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18608*b + 18580*b - 280 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32196578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -39 - 0.611\nAnswer: -39.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43228 and 15836?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 6*a + 6. Let r(u) = u**2 - u + 1. Let m(y) = p(y) - r(y). Let i be m(5). Solve 0 = -4*d + 4*x + 20, -3*x - 8 = -d + i*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 5 + 1)*(3 + 1 + 6)*(-v - 2*v + 5*v) as w + m*v and give m.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 22*f = 5790000. What is f rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1243002 = a + 4867004, -6109997 = a + d. What is a rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 958 + -959. Let u(z) = -28*z. Determine u(w).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64890 and 4032?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h + 12. Suppose 34*b = 36*b + 12. Let u be c(b). Suppose u = -k - 4 + 8. Solve k*l = -w - 23, -5*w = -0*l - 2*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/22032 and 1\/8845848.\nAnswer: 17691696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35902.\nAnswer: 2, 29, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - 172 + 0*r**2 + 0*r**2 + 171 + 1414*r to the form g*r + y + f*r**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.4 (b) -80\/211 (c) -383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t - 9 - 9 - 4*t**2 + 3*t**2 + 13. Let h be y(7). Let z = 132 + h. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 287 by 2077.\nAnswer: 287\/2077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24 + 4)\/((-7)\/37065) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqttqqqbqtqqttt.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 + 20269*d**2\/5 + 52668*d + 243072\/5.\nAnswer: (d + 1)*(d + 12)*(d + 20256)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10886 = -14*g + 24543 + 19187. Is 34 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 28 - 48 = 0, -v = -4*z + 149. What is the highest common divisor of 1215 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 79536807\nAnswer: -31814722.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 31 + (1 - -6 - 1 - 5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 20 - o**3 - 5*o**2 - 2 to the form m*o + q*o**3 + p*o**2 + d and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 10 = 20. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 59*o + 12972 = 0. What is the remainder when o is divided by 102?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w - 1. Let z be o(-1). Let d(y) = -5*y - 5*y**2 - 7 + 1 + 3 - y**3. Give d(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/105*(-720)\/(-54) + -1*47?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3187\/5 or 638?\nAnswer: 638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i - 34. Let u(n) = -6*n. Determine a(u(k)).\nAnswer: 12*k - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 900509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + v + 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4 - 2*d + 2*d - 3*d. Let g(j) = -4*j + 5. Suppose -19*t - 285 = 38*t. Give t*r(f) + 4*g(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5981, 5978, 5975?\n\"Answer: -3*v + 5984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 11 + 15 - 4*m**3 + 0 + 3*m**3 + 1. What is p(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17681, -17662, -17643, -17624?\n\"Answer: 19*x - 17700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68752455 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/8 + 5 + 1032\/(-176) and (-39)\/20 + (-2)\/(-8).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and -26275173801462.\nAnswer: -26275173801468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1690935733?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/7*(-2)\/(16\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399*c**2 - 367*c**2 + 769*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.29 + 11.29000807. What is c rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 40*m = 46*m - 314280. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 7*n**2 + 4*n + 18. Let r be p(6). Factor -3\/2*c**5 - r*c**4 - 15\/2*c**3 + 0*c - 3*c**2 + 0.\nAnswer: -3*c**2*(c + 1)**2*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3)\/((((v**(3\/7)*v)\/v)\/v)\/v))\/(v**0*v\/(v*v**(-3\/7))*v))\/(v**(4\/11)\/(v\/(((v*v\/v**(-2\/45))\/v*v)\/v)))**(-10\/3) assuming v is positive.\nAnswer: v**(2432\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1991595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.02, -2\/5, 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - y + 6. Let r be n(0). Suppose 4*j + 5*x + 60 = 0, r*x - 3*x - 52 = 2*j. What is the lowest common multiple of (48\/j)\/(3\/(-10)) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6948 divided by -1158\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/27 - 12 - 4\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5582*x - 2780*x - 2777*x - 125 = 0. Let j(k) = -k**3 + 3*k**2 - 1. Let m be j(2). Solve 6*p - x*p - 5*l + 12 = 0, -5*p = -m*l - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039567 rounded to six dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 52*t - 3. Let d be c(26). Sort d, 11, 6 in ascending order.\nAnswer: d, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/9 + 10*(-14)\/(-105).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -28. Let p = 12 + -8. Suppose 2*k = 4*k. Put k, y, p in ascending order.\nAnswer: y, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10311030122231 + -2?\nAnswer: -10311030122233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhx when three letters picked without replacement from qhxddyddq.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 72057 (b) -2 (c) -0.2 (d) -0.1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2412*b**2 + 13802*b + 143244923 wrt b?\nAnswer: 4824*b + 13802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92*b**3*n**5 + 26*b**3*n**4 + 11*b**3*n**2 + 2*b**3*n + 20*b**2*n**2 - 10*n wrt n?\nAnswer: 5520*b**3*n**2 + 624*b**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 74*l + 42. Let b(d) = -223*d - 133. Let a(o) = 6*b(o) + 19*p(o). Let r(j) = 7*j. Give r(a(v)).\nAnswer: 476*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3801 is divided by 1900.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22155553 to the nearest integer?\nAnswer: 4707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2. Let s(k) be the first derivative of k**3\/3 + 19*k**2 + 74*k - 53. Let m(p) be the first derivative of s(p). Determine n(m(f)).\nAnswer: 8*f**2 + 304*f + 2888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/5 in -11, -3, -0.3, -14\/9, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 478\/9?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 16\/5 (b) 4 (c) -0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3266455.\nAnswer: 5, 757, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 57360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 204*p**2 - 1792*p**2 + 4198*p**2 + 5284*p**2 - 147*p**2 + (-3*p + p + 4*p)*(-4*p - 3*p + 5*p) as f + o*p**2 + c*p and give o.\nAnswer: 7743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -17, -72, -179, -356, -621, -992, -1487?\nAnswer: -2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 6*v + 4. Let x be z(-6). Let q = x + -36. Let c = 405 + q. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*i**3 + 5*a*i + i**5 - 12*i**4 - 6*i**2 - i wrt i.\nAnswer: -6*a + 60*i**2 - 288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 1:13 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.38 - -116.6. Let p = 110 - m. What is p rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2*u - 33 = 3*u, 3*o - 3 = 3*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5530 + 155683. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**3 + 0*h**3 - h - h + 5*h**3.\nAnswer: 22*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (8\/2)\/(356\/(-445))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-895)\/(-1253) - 283208\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(((-15)\/6)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 63. Let o be 1\/2*(-2 + 4). What is the smallest value in b, o, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*o + 93*o + 107*o**2 to r + f*o + v*o**2 and give v.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 498612.6t to micrograms.\nAnswer: 498612600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 4124*b**3 - 41540*b**2 - 104100*b.\nAnswer: 4*b*(b - 1041)*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8))\/((-3)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**2 - d**2 + d**2)*(-4 + 2 - 3)*(4*d**2 + d**2 - 3*d**2) as p*d**4 + v*d**2 + a*d**3 + f*d + q and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/11)*t**0*(t\/t**(5\/4))\/((t*t*t*t**(-10))\/t))**(1\/3) assuming t is positive.\nAnswer: t**(317\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15984 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 + 2*g**2 - 4*g + 16. Is x(3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-15))\/(12\/40). Suppose 0 = 2*p - 3 - 39. Suppose 0 = -18*l + p*l. Solve l = -x*a + t - 12 + 4, 8 = -4*a - 2*t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 10. Solve v + 0*v = 5*c - n, 3*c = -2*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.92 (b) 4 (c) -920 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 210645094*s**2. Let q(n) = 3*n**2. Calculate j(q(d)).\nAnswer: 1895805846*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + h + 8. Is 5 a factor of b(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 3*d**2 - d + 2. Let s be m(0). Let h be 7\/((2 + 0)\/(-2)). Let y = h + 12. Solve 0 = y*t - 3*n - 6, -2*t - s*n = n + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}