diff --git "a/data/dm_maths/full_data_2/11073_11255.jsonl" "b/data/dm_maths/full_data_2/11073_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11073_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (-2*d - 2*d - 5*d)*(2*d - 2*d + d) - 4*d**2 + d**2 + 5*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 greater than 6\/69509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 53, -1359, 4?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-7)*o**(-1)*o**6\/(o*o**(-3)) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-28))\/((-29750)\/(-16660))\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 208.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11473 and 2660693?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 691955.6386 + 4715024923.3614. Let j = 4715716858.79999833 - r. Let t = j + 20.2. What is t rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*w + 0)*(-1 + 1 + 1) + (2 + 2 - 5 + (-2 - 1 + 1)*(6 - 4 - 3) - 4 - 3 + 5 + 18 + 6 - 6)*(78*w + 747 - 747).\nAnswer: 1329*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*v + 1796265 = -50*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1175242 tonnes in kilograms?\nAnswer: 117.5242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 4*j - 869 = 4*v, -2*v + 606 = -4*j. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -28. Let n = 2.3 + 123.7. Let d = 125.9 - n. Which is the nearest to d? (a) -1 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 9*n. Let y be h(-10). Suppose y = -4*i - i. What is the closest to i in -1, 0.4, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1600877 + 17609659\/11. Factor 122\/11*b - 42\/11*b**2 + u.\nAnswer: -2*(b - 3)*(21*b + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 8*w = -4*w, -7*j - 4*w - 18 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 16. Let n = 17 + d. What is the second derivative of 9 + 6*w**2 + 11*w + 0*w**2 - n wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, -0.26, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s - 235. Let x(v) = -v**2 - 7*v + 10. Suppose d - 25 + 1 = 4*h, -2*d = -h - 6. Calculate the remainder when s is divided by x(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.917606us to hours.\nAnswer: 0.000000009699335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 4:11 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 16*a**2 + a. Determine b(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -18*y**2 - 26. Let m(s) = 2*s**2 + 3. Let i(c) = 6*b(c) + 52*m(c). Let d(p) = 79*p**2 + 26 - 14 - 77*p**2. What is d(i(g))?\nAnswer: 32*g**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -194*v - 38. What are the prime factors of l(-6)?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4 + 12. Put 3, r, -1 in decreasing order.\nAnswer: r, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32861 equal to 17226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1351 (base 6) in base 2?\nAnswer: -101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/(-13) + (3 - 2). Let u(q) = q**2 - 24*q + 28. Let y be u(24). Suppose -28*j = -14*j + y. Which is the closest to j? (a) 0.4 (b) g (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.269? (a) -66 (b) -2 (c) -15830\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23.6441038722 and 0.3.\nAnswer: -23.3441038722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*f + 13 + 0 - 10.\nAnswer: 28*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + f - 4*f - 18 = 0, 4*t - 2*f = 20. Suppose 4*k - 5 = 3*k. Suppose -a - 2*g = 8, -4*a + t*g - k*g + 3 = 0. Solve a*z - 3 = 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96\/1429 - -112205\/222924. Let y = k - -3505\/6708. What is the common denominator of y and 196\/(-462)*((-42)\/(-4) + 0)?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1421 != -1421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -462487\/31 - -14917. Which is smaller: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 32 + 0*o - 1 - 3*o.\nAnswer: -3*o - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 4 + 3 + 3*o)*(5*o**2 - o**2 - 2*o**2).\nAnswer: 12*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*o - 165 = -2*o, 20 = -4*o. List the prime factors of b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, y: 2, e: 2, n: 7, s: 4}. Give prob of sequence es.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22078 + -22054. Calculate the lowest common multiple of m and 4240.\nAnswer: 12720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 13*h**2 + 36*h - 653. Let p be s(10). Solve p*r - 2*j = 2*r - 9, -3*j + 5 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-2\/19)))\/(n\/(n*n\/(n\/n**(-4\/19)*n*n)))*(n*(n*n**17)\/n)\/n*n*n**(-1)*n*n assuming n is positive.\nAnswer: n**(321\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307699 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 - -10 - ((-20)\/(-5) + -5). Let l(o) be the second derivative of f - 1\/3*o**3 + 0*o**2 - 11*o. Let h(c) = 5*c. Determine l(h(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -4)*(-1 + -1 + 0). Let z(n) = 11*n**2 - 13*n - 15. Is z(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = k - 338883. Suppose -60681 = -d + 4*n, 17*d - 242624 = 13*d - 4*n. Let z = d + k. What is z rounded to the nearest 1000?\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 77*f**2. Let p(o) = 2*o - 38. What is p(l(j))?\nAnswer: 154*j**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7222*r - 79. Is s(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27937235\/4 less than or equal to -6984308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 6 = -4*r, -11 = r - 4*r + 4*f. Let o(v) = -3 - v**2 + 49*v**3 - 48*v**3 + 0*v + 2*v + 2. Give o(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d = -2*w + 28*d, 4*w + w - 3*d = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 = 3*s - 14, -4*o = -4. Suppose j + 0*l = -l + 6, -2*j = l - s. Suppose 5*y - 28 = -j*z - 0*z, -41 = -5*z + 2*y. Solve -4*q + z*q = 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 1 = -2*v, -2*v + 2*q + 3*q = -9. Solve -2*y + 2*r = 4, r + 3 = -v*y + 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l + 11. Suppose -4*s = 3*x - 5*x - 4, -5*s + 20 = 0. Is w(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/83? (a) -3\/4 (b) 0.1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/261 - (-13460500)\/36 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 494338383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 543767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) -14 (c) -18 (d) -2 (e) -6 (f) -0.14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4358.5 plus 0.03127600141?\nAnswer: -4358.46872399859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5258 + 5231. What is the closest to -4 in -2, 2\/5, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Let n be 14\/(-7) + 8 + ((-424)\/36 - -6). What is the nearest to -2\/3 in m, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11*y. Let s(k) be the first derivative of k**5\/120 + 2*k**3 - 2. Let u(l) be the third derivative of s(l). Calculate u(n(r)).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 7*g + 18*g + 275 - 303 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:05 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 = -0. Suppose 5*w = 4*b + 5 - j, 0 = b - 3. Differentiate -2 + 2*y**w - 2*y**3 + 2*y**4 wrt y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000068813828 rounded to seven dps?\nAnswer: 0.0000688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l + 49. Let a be j(-1). What is the highest common divisor of 819 and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -35?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1272 - -0.051826.\nAnswer: 1272.051826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270, 540, 810?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s*u**3 - 19*s*u**2 + 2*s*u - 1764*s + 2*u**3 + u**2 - 173*u + 7 with respect to s.\nAnswer: 2*u**3 - 19*u**2 + 2*u - 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -95? (a) -1\/3 (b) -1\/23 (c) -1\/20 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38706, -77410, -116114?\n\"Answer: -38704*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*a = -3*p + 92*a + 558, 0 = 5*p + 5*a - 120 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 10*q**2 + 4*q + 24. Give c(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33291 - 133153\/4. Factor -3 - w*m - 1\/4*m**4 + 13\/4*m**2 + 11\/4*m**3.\nAnswer: -(m - 12)*(m - 1)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10150 + -3450125?\nAnswer: -3435535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/((-52)\/(-16) + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465695*h = 3*v - 465697*h - 24, 0 = 3*v + 5*h - 45 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 457 + 16. List the prime factors of m.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ba0d9 - 1a?\nAnswer: -ba115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/17 (b) 0.1 (c) -0.06 (d) 0 (e) -0.5 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 5*b = -3*q + 22, 112*b - 113*b - 10 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -4*x, -5*y = -3*y + x - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfwwwqpoqwwqwfwqq. What is prob of picking 1 f and 2 q?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 28*n + 123. Determine a(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 3\/10 (c) -0.024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + x + 2*x + 2*x + 0*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g + 24. Let u be r(7). Let -u*l + 2*l**2 + 20*l + 15*l - 12 = 0. Calculate l.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62\/47 - 1354\/1739. Let j(t) = -t**2 - 6728*t + 20195. Let q be j(3). Is q greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-147)\/(-9) - 1\/3. Suppose -8 = -3*h + r. Suppose 19641 + 14975 = h*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27640 and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 3) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4))**(-34)\/((t\/(t*t**7*t))\/t*t\/((t\/(t**(7\/3)\/t))\/t)))**44 assuming t is positive.\nAnswer: t**(2002\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.522628 years to decades.\nAnswer: 0.0522628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -204182698*q**4 - 1368*q - 2252 wrt q?\nAnswer: -2450192376*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 39. Let p = n + -10. Suppose 4*v - 1777 = -p*l, -v + 440 = -l - 2*l. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.054342, 1, -6, 22, 0.5 in descending order.\nAnswer: 22, 1, 0.5, 0.054342, -0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11232 divided by -468?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52638427.\nAnswer: 89, 591443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 721166813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqtstqqqx. Give prob of sequence scqx.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 2825 + 2822 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97577659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-25)\/(-10))*1*2. Suppose l*s = -0 + 10. Let y be -1*(2 + s) + (-30)\/(-3). Solve -3*z - y = -2*v, 4*v - 13 = 4*z - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s**2 + s. Let l(x) = 5*x**3 + 7*x**2 - 5*x - 2. Let t(w) = 4*a(w) + l(w). Let i be 2 + -2 + 2 - -2. Suppose o + 7 - i = 0. Give t(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.048184\nAnswer: -0.024092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17690 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -72.9?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 236 and -0.2?\nAnswer: -47.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnssnn?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3)\/((-24)\/48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*t + 540, p = -t - 4*p + 186. Let k be (-4)\/12 - t\/(-3). Suppose 2*y - 7*y + k = 0. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -9)*(-364)\/104.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.7807 to one decimal place.\nAnswer: -22.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 10 (c) -0.2 (d) 10\/114303 (e) -5 (f) -3\/2 (g) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2235 + -2235. Is 4\/7287 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + p = 108. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*g + 25 = 0, -30 = -4*m + 2*g - 0*g. Suppose 9*h + 25 = 4*h. Let q = h + m. Solve y - 15 = -4*a, q*y + 4*a - 18 = -0*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3789 divided by -331\nAnswer: 3789\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -13. Let l = 7 + t. Suppose -l*w + 277 = -6*j + j, 5*w - 435 = -5*j. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, k: 5}. Give prob of picking 3 p.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-44)\/(-12))\/11)\/(17\/1428).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1633143 + 1633143 + 559*v**3 - 2*v.\nAnswer: 559*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 8) in base 2?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 681.3932 micrograms?\nAnswer: 0.6813932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 + -33 + 47 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 5 (b) 0.3 (c) -1\/8 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*c + 84*c + 72 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405231 is divided by 31162?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*h + 31*j + 568 = 185*h, -2*h + j - 7 = -21 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 844, 23, -19 in increasing order.\nAnswer: -19, 23, 844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 606\/(-2120)*-57*(-2)\/9. Let l = 142\/53 - z. Find the common denominator of -43\/20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.97 - -20.97. Put 5\/7, -0.058, m in descending order.\nAnswer: m, 5\/7, -0.058","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**6\/40 + g**5\/15 + 14*g**2. Find the third derivative of t(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 1889 + 529. Calculate the greatest common factor of 34 and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 60 = 5*o. Does 14 divide (-1 + 265\/o)\/((-2)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**2 + 1233180*f - 1233185 = 0. What is f?\nAnswer: -246637, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5536 and -9?\nAnswer: -49824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/7 - 2)*37*(-7490)\/(-11877).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7641 = -2*u. Let v = u + -30303\/4. Let y = v + -66. Which is the third biggest value? (a) -4 (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3223 and -2.30532?\nAnswer: -7430.04636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 220 = -23*i. What is the second derivative of i*s**5 + 1154 - 1154 + 8*s wrt s?\nAnswer: 400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/15 and -47\/172502.\nAnswer: 2587530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 19*h - 2*f - 28, 3*h - f - 16 = 0. What is the closest to 2\/7 in -2\/19, 4\/27, h?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5601 and 10647.\nAnswer: 19877949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1936 and 117096540.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3864 and 74928?\nAnswer: 1723344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103132111 + -111?\nAnswer: 103132000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**3 - 2*d**2 + 1. Let k be u(-1). Factor 5*c**3 + c**3 - 3*c**k + 2*c**3 + 15*c**2 + 10*c.\nAnswer: 5*c*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 8 = -7*k + h, -k - 8 = -5*h. Let z(y) = k*y**3 + 2*y**3 - y - 5*y**3. Let q be (5\/10)\/((-1)\/4). What is z(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 9*q - 9. Let f be x(-7). Suppose 22 = k - 5*v, f*k - 2*v = k + 16. Solve 0*c + k*c + 7 = s, 2*s + 2*c = -10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 593 - 6*f + f.\nAnswer: -f - 593","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3162 (base 14) to base 7.\nAnswer: -33552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 626 + -399. Let h = 133 - n. Let v = 93.9999957 + h. 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: What is prob of picking 1 y, 1 x, and 1 o when three letters picked without replacement from oyygygggqxqggoxqoyg?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 12*v**2 + 25*v - 32. Let l be k(-14). Solve 15*o = 10*o + l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvqqqq. Give prob of sequence vq.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -408*c - 244. Does 35 divide z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7605?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 679 and 107767.\nAnswer: 754369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4080?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 89. Suppose u = 5*k + k. Differentiate -5*a**4 - 10*a**2 - 61 + 10*a**k + 21 with respect to a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 65. Let j = 35 - r. Let i be (j*(-6)\/(-8))\/1. Solve 14 = -0*w - 5*w - 2*q, -i*q + 9 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmzmxhhjmmjimzhmmj. Give prob of picking 1 j and 3 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77876, 311456, 700752, 1245764, 1946492, 2802936, 3815096?\nAnswer: 4982972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49139 is divided by 73.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 3*s + 5*g + 1170, -3*s = g - 868. Let a = 262 + s. Is (-6)\/30 - a\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 172 and -4083372 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k + 176. Determine t(-40).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1, -4, -2\/111?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6416 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18087 - -36173\/2. Which is the second smallest value? (a) 0.1 (b) k (c) -30 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1610257851?\nAnswer: 3, 43, 83, 50131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2203 + -2202.7. Let q = -82 + 742\/9. Sort u, -2, 2, q.\nAnswer: -2, u, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 18*t + 9. Let p be x(-4). Let i = 3 + p. Is (-8072)\/(-10) - (-12)\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-2 + 8 + 4 + (0 - -7))) + -7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f = -31*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z*z**(-5))\/z)\/(z\/(z*(z*z**(3\/4))\/z)*z*z*z))\/(z**(-2\/3)\/z*z**2) assuming z is positive.\nAnswer: z**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188864 is divided by 282.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 50. Let h = b + 11. What is the least common multiple of (42\/18 - h)\/(2\/18) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, 2, 22, 11, -17 in decreasing order.\nAnswer: 22, 11, 2, -17, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101313 - 332213131?\nAnswer: -332321110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 57232750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 = -s - p, 2*s - 5 = p. Suppose 0 = 2*l - s. Let u(f) = f. Let w be u(l). Is 1 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 + 28*q**2 + (q**2 - 3 + 3)*(3 - 2 + 1).\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-21175)\/(-2310) + (1\/3 - 1)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.38 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9273.93 + 9274. Which is the second smallest value? (a) -2\/99 (b) k (c) 0.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 - 34*r - 142. Give u(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {w: 6, c: 7}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.33 - 3.03. Let t = 3 + x. Let k = -3 + 3. What is the third smallest value in -1\/10, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {j: 1, s: 5, y: 11}?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*d**2 - 22*d**3 - 157 - 186*d**2 - 9*d**3 + 19*d**3.\nAnswer: -12*d**3 - 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, 31, -25, 2, -2, 3.\nAnswer: -25, -10, -2, 2, 3, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 737 and 1072?\nAnswer: 11792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/4 + 5*i**4\/3 - 3*i**3\/2 - 122*i**2. Is f(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 3\/2 (c) -0.04 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (16 + 12\/(-4)). Let u(r) = -r**3 - 10*r**2 - 2*r - 15. Let w be u(z). Solve w*y + 2*d + 35 = 0, 5*d = -5*y - 17 - 33 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from {d: 1, y: 1, g: 3, z: 6, a: 6}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30.8, -4, -1\/10, -1, 2\/15?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196442 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 27?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 2.1945415?\nAnswer: 2.1945415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, -17, 0.03, -19.8, 4, 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.1. Let z = 4.3 - 1.3. Let m = -1 - z. What is the smallest value in 4, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-198)\/(-27) + -10)*(-33)\/2. Find the third derivative of 65*a**6 + 0*a**2 + j*a**6 - 15 + 104*a**3 - 106*a**3 + 2*a**2 wrt a.\nAnswer: 13080*a**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70b (base 15) in base 5?\nAnswer: -22321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -110?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 239090 to the power of 1\/2, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -17*g**3 + 2*g**2 - 6*g - 8. Let j be t(-1). Calculate the highest common divisor of j and 374.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/(3913\/104)*2*(-1)\/(-4).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8604 (base 14) to base 12\nAnswer: -11478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12648 = -2515*j - 647*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-137 - (-5 + 2)\/(-3))*(-80)\/6. What is the highest common factor of k and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 4, 0, -42 in descending order.\nAnswer: 5, 4, 0, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - w - 167 = -r, -w = -2*r - 64. Let c = r - -43. Calculate the remainder when c is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1283\/10 less than -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4439, 3912, 3389, 2870, 2355?\nAnswer: 1844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 + 2*q - 1. Let n(p) = p + 5. Let k be n(-6). Let y be ((-3)\/2)\/(k\/2). Let h = y - 2. What is w(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11690742 and 1737813.\nAnswer: 128598162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 11*r**2 - 8*r. Let d be g(-10). Let p be (-341)\/(-5) - (-4)\/d. Suppose c - p = 16. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**3 + 2*h - 12*h**3 - 2*h.\nAnswer: -29*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4 + (-2)\/(-4). Let t(o) be the third derivative of o**4\/12 - o**3\/3 - 3*o**2. Let u(d) = 1. Calculate c*t(k) - 4*u(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 7*g - 5. Let f be o(-2). Suppose -f*m = -514 - 36. What are the prime factors of m?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -1\/6*c**4 + 0*c**5 + 2\/9*c**3 + 2*c + 0*c**2 + 1\/45*c**6 + 0. Find a, given that h(a) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2865361998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 68*b - 72*b + f, -5*f + 30 = 0. Suppose 2 = -4*i + 10. Calculate the remainder when b is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Suppose n + 3 = -q*n. Let l(w) = 5*w - 1. Calculate l(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l - 4. Let x(b) = -4*b + 3. Let n(k) = -6*i(k) - 7*x(k). Suppose 60*j = 61*j - 4. Suppose j = -5*r + 4*c, 2*r + 4 = -4*c + 5*c. Calculate n(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 9. What is p(29)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 697, 5126, 16833, 39358, 76241, 131022?\n\"Answer: 590*w**3 + 99*w**2 + 2*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4714.3 (b) 3\/2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5704788839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 + 77. Let d be (18\/(-10))\/((-9)\/m). What is the second derivative of -26*o - d*o + 33*o**5 + 36*o wrt o?\nAnswer: 660*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*11\/(66\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -224, -462, -700?\n\"Answer: -238*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + ((-128)\/(-4))\/8. Suppose -2*q - 2*n + 484 = -y*n, q = -5*n + 212. What are the prime factors of q?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645280*y - 646256*y + 70272 = 0 for y.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 11*t - 98. Suppose 0 = 6*n - 2*n - 240. What is the greatest common divisor of n and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 55. Suppose -4 = 4*f - 24. Solve 0 = -4*r + 2*u, f*u = -4*r + u - o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0*r**2 + 21 + 3*r + 5\/6*r**3 + 1\/12*r**4. Suppose z(n) = 0. What is n?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v - 2. Let c(b) = 19*b - 9. Let p(h) = 2*c(h) - 9*z(h). Let g(r) = -r + 104. Calculate p(g(j)).\nAnswer: -2*j + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52324 by -508.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-581)\/(-4830) + 26\/(-299). Let m(y) be the second derivative of 0*y**2 + g*y**3 + 0 - 4*y + 1\/30*y**4. Factor m(r).\nAnswer: r*(2*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 18 = 4*c, -4*l - 5*c - 9 = 19. Let a = 6 + l. Let m be ((-90)\/36)\/(2\/a). Sort 1, m, -4 in decreasing order.\nAnswer: 1, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 - 3?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22132, 44258, 66384, 88510?\nAnswer: 110636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 2, j: 2, o: 10, s: 1}. Give prob of picking 1 a and 1 s.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -158*j**3 + 5*j**2 - 17*j + 30. Let a be i(2). Let q = 1250 + a. Factor 1\/3*d**2 + 5\/3 + q*d.\nAnswer: (d + 1)*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 148 in 4\/5, 0.1, -2\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 73, 104, 137, 172?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*j + 52*j - 105*j + 60 = -2*l, -3*j + 32 = -5*l + 4*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96\/5 or -20?\nAnswer: -96\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2576931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/4 + 227*s**3\/2 - 2501*s**2 + 19357*s\/2 + 218517\/4 = 0.\nAnswer: -3, 13, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386489958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2743281 is divided by 913727?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (1 - 1))\/(2\/3). Suppose -4*u = -19 + b. Factor 4*f + f**3 - 2*f - 4*f**4 + 3*f**3 - 6*f + u*f**2.\nAnswer: -4*f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/80 + 343\/5. Let z = m + -127. Let x = 109 + z. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31178497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4 - 42*r**3 + 198*r**2 + 242*r = 0.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Suppose 18 = 4*d - p. Solve -d*t = 2 + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 7*y. Let h(b) be the second derivative of 0 - 1\/15*b**6 - 1\/21*b**7 + 1\/10*b**5 + 2*b + 1\/6*b**4 + 0*b**3 + y*b**2. Factor h(j).\nAnswer: -2*j**2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92484 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87739*t**4 - 87739*t**4 + 3751*t**5 + 816*t - 3517*t wrt t.\nAnswer: 75020*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 4*f. Let z be k(-4). Let t be (-1 - -1)*(-32)\/64. Solve 0 = -3*d + 9, t = -s + 3*d - 4 - z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 5 (c) -286 (d) 375246\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 50*a + 330 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12)*28\/(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*s + 1344, -33*s + 35*s = -4*o + 1316. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + q**3 - q**4 + (-q + q**2 + q)*(0*q**2 - 2*q**2 + 3*q**2) - 2*q**4 + 3*q**4 - 3*q**4 + q**4 + 1 - 1 + (-4367*q - 67526 + 67526)*(2*q**3 - q + q).\nAnswer: -8735*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 - -123. Let c be (-1)\/(-6) - (-348)\/j. Find the third derivative of -3*w**2 - 10*w**2 - 16*w**c + 2*w**2 wrt w.\nAnswer: -960*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 92848439051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -35, 9898, 6\/13 in increasing order.\nAnswer: -35, -5, 6\/13, 9898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 3*z. Solve -t - 4 + z = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8266644.438 + 254.7\nAnswer: -8266389.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0081, 22284\/11, 3\/2, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-272)\/51*-2*90\/16. Suppose -a = 385*i - 387*i. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2352251 rounded to the nearest ten thousand?\nAnswer: -2350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3130\/(-350) + 9)*21\/(-135)?\nAnswer: -2\/225","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74545064*k**6 + 670*k**2 + 23827*k?\nAnswer: 8945407680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j + j - 8*j)*(-307*j - 99*j**3 + 307*j + 0*j**3 + 2*j**3 - 3*j**3 + (0*j + 0*j - 2*j**2)*(0*j - 3*j + j)).\nAnswer: 1536*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050.8 times -5?\nAnswer: -5254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.95 - 4.\nAnswer: -4.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -12 + 6. Let q = h - -5. Suppose -8 = 4*p - 0*p, 92499996 = 5*g + q*p. What is g rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3312 (base 4) to base 13.\nAnswer: 15c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*w + 29*w - 15*c + 15 = -35*w + 42, -3*c = 5*w - 27 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*2*(-3)\/(-12). Suppose s*v - 1 = v, -5 = -5*t - 5*v. Solve 4*x + 0*x - y = 7, t*y + 3 = -3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.099 - -43.099. Let m = -42.99917 + p. What is m rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5415 - 5437. Put -4, 1, o in decreasing order.\nAnswer: 1, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -95 in decreasing order.\nAnswer: 4, 1, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, n: 2}. Give prob of picking 1 d and 1 n.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*x**2 + 1365 - 1365 + (3 - 3 - x**2)*(-1 + 3 - 1) + x**2 - 4*x**2 + x**2 to g + i*x**2 + y*x and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (35 + -17 - 17) - 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17145920 and 200?\nAnswer: 85729600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 163. Suppose -6*h - s = -260. Calculate the remainder when 100 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 4*k**2 - 7*k - 9. Let t be f(-3). Suppose -5*b - 2*a + 5*a = -929, 0 = a + t. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 23 - (386 - 355)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-10)*(1 - 0)*-1. Let q(j) = -j. Let n be q(3). Do n and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2. Let y(z) be the first derivative of 2525*z**2 - 1262. What is f(y(w))?\nAnswer: 51005000*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from rmr.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 0*q = -q, 0 = 2*q - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 113 + -203 + 91 + 2 + -93.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 31. What is the units digit of 1 + 9*-17*6\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 4*w**2 - 7*w - 7. Let m be o(-5). Suppose 2 = -i, -y + 2*y - 2*i = m. Let x be (4\/10)\/(y\/(-5)). Solve -x*l + 6 + 0 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*r - 42*r - 52*r + 138*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*l + 1. Let g(q) = -q**2 + l - 2*q**3 + q**2 + 2*q. Let h be g(-1). Calculate the greatest common factor of 5 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -11*o**2 + 2*o - 6. Let n(x) = 10*x**2 - 3*x + 9. Let s(r) = 3*a(r) + 2*n(r). Let y(h) = 36*h**2. Give y(s(v)).\nAnswer: 6084*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6909 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 times -312683?\nAnswer: 55344891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11340238?\nAnswer: 2, 7, 13, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 44063, 43762, 43475, 43208, 42967, 42758, 42587?\n\"Answer: r**3 + r**2 - 311*r + 44372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**2 + 8*g**2 + 14*g**2 + (-2*g**2 - 3*g + 3*g)*(-29 - 33 + 6) + (3*g**2 + g**2 - g**2)*(5 - 4 - 4).\nAnswer: 118*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 3*l, 0 = 5*n + 5*l - 50. Let b be (-2)\/(-6) + (-50)\/6. What is the tens digit of (-3)\/n - 900\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 5*o = 0. Suppose 0 = -4*n - 0*n - 2*r + 18, 4*r - 4 = o. Solve -n*u + 3*p = 2 - 9, -4*u = 5*p - 31 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2739880906?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6018?\nAnswer: 2, 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from vpblvlovlllb?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 1, -1\/5, -0.5, 2\/27, 151\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9193483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*l - 205*l - 212*l + 838*l - 76*l**2 - 207*l.\nAnswer: -76*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -10 - (-3 - -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/15)\/(-7*(-4)\/35).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -545 (base 14) to base 3.\nAnswer: -1102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-22)*(-275)\/50.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(sqrt(72) + sqrt(72)*2))\/(sqrt(20)\/(sqrt(10)\/(sqrt(20)\/sqrt(4) + sqrt(5)))).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -969298.44 rounded to the nearest 10000?\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a + 11 + 4*a - 13*a.\nAnswer: 19*a + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23801*m**2 - 10*m**3 + 23801*m**2.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 + -83. Solve 2*u + 6 - 1 = -n, -2*n = y*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1897572426 - 0.1.\nAnswer: -1897572426.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 4:05 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2) + 130 - 0. Let h = w + -643\/5. Let t = -66.06 + 66.56. What is the third smallest value in -3, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 15, i + 4*k - 2 = -13. Which is the nearest to i? (a) 5 (b) 0.02 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(2*-10) + (-116)\/(-40). Suppose -s*v = -5630 - 7543. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h - 2*h + 0*h + (0 + 0 + 2*h)*(-1 + 0 + 0) + 3*h - h - 4*h + 2*h + 3 - 3.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 644805 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -89 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**2*q**2*u**3 + 243*m**2*q**2*u + 2*m*q**2*u - 21*m*q*u + 3*q*u**3 wrt m.\nAnswer: 6*q**2*u**3 + 486*q**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2315 is divided by 758?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -30*w - 16*w**2 + 17*w**2 - 19 + 142. Let x be v(5). Sort 1, -1, x in descending order.\nAnswer: 1, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73914 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**6\/360 + z**5\/15 + 5*z**4\/12 - 6*z**3 + 79*z. Let b(j) be the second derivative of q(j). Give b(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -890 or -887?\nAnswer: -887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 0.1 (b) -1\/7 (c) 397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4332 (base 5) to base 12\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/35607 and -43\/21912.\nAnswer: 284856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -564.76 or 1?\nAnswer: -564.76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 707773750 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 112951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -931*m**3 + m**2 - 155*m + 153. Calculate o(1).\nAnswer: -932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265598 is divided by 746.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 735954, 1471906, 2207858, 2943810, 3679762, 4415714?\n\"Answer: 735952*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*f*o**2 - 2093180*f + 55105*o with respect to o.\nAnswer: 54*f*o + 55105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1534906 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 46*o**2 - 47*o + 98. Determine f(45).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 33. Suppose 4*x = -x + 156000020. Suppose 5*w - 44578136 = -j*h + 7421884, 0 = -3*w - h + x. Round w to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1673820*m**2. Let i(j) = -3*j. Give q(i(y)).\nAnswer: 15064380*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*105\/49*770\/66?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1aa55 (base 15) to base 13\nAnswer: 30608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37, -61, -77, -85, -85, -77?\n\"Answer: 4*u**2 - 36*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h - 4. Let a(f) = -2*f - 3. Let j(b) = b. Let s(q) = a(q) - 2*j(q). Determine -5*c(r) + 7*s(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = d - 12. Suppose -l = 3*z + 25, -d*l + 3*l = z + 7. What are the prime factors of (228\/z)\/(1\/(-2))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*p + p - 53, 161 = 3*p + n. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/11 + 196*g**3\/11 + 4066*g**2\/11 - 14848*g\/11 - 18720\/11 = 0.\nAnswer: -65, -36, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + (7 - -7) + -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/13 in 5, 0.3, -12, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 31*m - 51048 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 3. Let m(p) = 6*p + 16. Let y(q) = -11*i(q) + 2*m(q). Suppose -34*u = -17 - 52 + 1. Let r(g) = -g - 1. Calculate u*y(n) - r(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssddss. What is prob of picking 2 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + -19 + 19 - -66?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1080033*v**4 + 2*v**2 + 1234470 wrt v?\nAnswer: 25920792*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23745 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - 23?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -5.9. Let f = p - 0.2. Put 5, f, -2 in ascending order.\nAnswer: -2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279571?\nAnswer: 279571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4724*f + 10*f**2 + 6*f**2 + 4*f**2 + 4707*f in the form a*f**2 + w + s*f and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 14. Let l = 57.73 - 58. Let h = -0.37 - l. What is the third biggest value in 0, h, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-39) + (-292)\/208\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-1*-2)\/((sqrt(165)\/sqrt(3))\/sqrt(5)) - (3*(sqrt(99) + -1)*-6)**2.\nAnswer: -32400 + 1946*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 2, f: 1, w: 1, n: 3, b: 3}. What is prob of sequence nw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -36*s**2 - 3*s + 122. Let v(o) = o. Let m(z) = -u(z) - 5*v(z). What is the first derivative of m(p) wrt p?\nAnswer: 72*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2993.195 millilitres to litres.\nAnswer: 2.993195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3))**37\/((i\/(i\/i**(2\/21)))\/i*i**(-2\/91)))**(-5\/2) assuming i is positive.\nAnswer: i**(-11645\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239942673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - h**2 + 2*h**2)*(2 + 11*h - 2 + (3*h + h - 3*h)*(-4 + 0 + 2) - 2*h - 3*h + 0*h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2931.\nAnswer: 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = 7*n. Let l(w) = w**3 - 4*w**2 - 5*w - 7. Let p be l(5). Is 5 a factor of (8\/n - -5)*p\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25e (base 16) to base 2.\nAnswer: -1001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020 (base 5) to base 7.\nAnswer: -521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10728984 and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19\/39 + 2\/13. What is the closest to o in -2\/5, 2\/3, 5, 1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*v + 5*f + 3, 3*v - f - 5 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express j + 2 + 524*j**2 - 404*j**2 - 314*j**2 as z*j**2 + v + w*j and give z.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116753514 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2276 + -81929\/36. Find the common denominator of z and -131\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-12)\/(-140)*1211\/2595\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73273760 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -2\/3, 53153\/22?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0 (c) 76 (d) 3\/7 (e) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b = w - 28 - 64, 5*w = 3*w + 2*b + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-4 + 812\/(-21))*-9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 + 18*i.\nAnswer: 3*i*(i + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1180\/(-585)) + -1. Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840572 divided by -14268?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 28. Suppose m - j = 32, 3*m + 3*j = -m + 156. Suppose -m = -a + 33. Calculate the remainder when a is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2625\/450)\/((-10)\/(-24))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 10*w**3 - w**2 - w. What is u(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -7) + 4 - -407. Let t = x + -306. Calculate the remainder when t is divided by 33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*t - 99, j + 5*t + 5 - 2 = 0. List the prime factors of (-1748)\/j - 6\/(-63)*6.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(231\/(-22)))\/((-16)\/(-336)*-27)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.52 times 0.06?\nAnswer: -1.4112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -629?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 23. Let c(s) = 6*s - 20. Let n(j) = 4*j - 15. Let h(a) = -3*c(a) + 4*n(a). Give h(x(l)).\nAnswer: 2*l + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6904808423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {v: 1, l: 8, z: 2, c: 1, k: 2}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -4 - (3 - 0 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**8\/48 + 5*z**4\/24 - 3*z**2 + 7*z. Let b(g) be the first derivative of k(g). Find the second derivative of b(r) wrt r.\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -38*x**2 + 5857*x - 115155. Calculate r(131).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 2*w**2 - 2*w**2 + 0*w**2 - 4*w**2 - 2*w**2 + (3 + 0 - 1)*(0*w - 2*w**2 + 0*w) + 0*w + 0*w - 2*w**2.\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -7 + 31. Let h(d) = 2*d**2 + 6*d - 5. Let g be h(o). Let l be 1*(-1)\/(-3)*0. Solve l*a = -g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 17*f**2 - 3*f**2 + f - 1 + 4*f**2. Suppose -3 + 0 = -3*k. Does 6 divide h(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39987 and 62202.\nAnswer: 559818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-462)\/(-56)*(-3 - 26\/(-10)) and 15\/2*(-20)\/2808?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15750 divided by 30?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -221 + 156. Let o = -15 + -2. Let j = o - d. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = i - 7. Suppose 0 = -i*c - c + 120. Suppose 3*o - 96 = -3*l, o - 3*l + c = 2*o. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Suppose 5*x - 13 = j + 15, p*x + 5*j - 5 = 0. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4366, 8673, 12916, 17095, 21210, 25261?\nAnswer: 29248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7326858?\nAnswer: 2, 3, 7, 11, 15859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, c: 4, r: 4, u: 3}. What is prob of picking 1 c and 1 r?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 756 and 17064?\nAnswer: 119448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/4 + 2059*r\/2 - 4239481\/4 = 0. What is r?\nAnswer: 2059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 30 = 7*k. Let n(a) = 37*a**2 - 16*a + 13. Is n(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181156471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from tbdttdbddtobdotoddo?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/((-2)\/((-4)\/(-2))). Let w = z - -24. What is the highest common factor of w and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 15. Suppose 2*j = 5*j - 5*g - 10, 4 = -2*g. Solve -c = 2*v - j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(((o*o**(2\/9))\/o)\/o)\/o*(o**(2\/7)\/o)\/o*(o\/(o**(1\/7)\/o))\/(o*o\/(o*o**0))*(o**(4\/5)\/(o\/(o**(-11)*o)))**(1\/14) assuming o is positive.\nAnswer: o**(-1489\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 89\/159962?\nAnswer: 89\/159962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 0*v**2 - 3 + 0*v**3 - 1\/20*v**5 + 0*v**4 + v + 1\/30*v**6. Factor g(b).\nAnswer: b**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 222186608 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 59. Suppose m = i + 3*y + 13, 2*i - 58 = y. Suppose -8*n - 3*a + 39 = -3*n, 2*a = 4*n - 18. What is the greatest common factor of i and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 b when three letters picked without replacement from {t: 4, v: 11, y: 2, b: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 + 4*b**2 - 22*b**2 + 49*b**2 + 48*b**2 - 7*b**3.\nAnswer: -7*b**3 + 79*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 4:25 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z - 1 + 1)*(-1 + 2 + 0) as g + r*z and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13\/((-1209)\/(-4620457)) - 2\/(-3).\nAnswer: 3, 16561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/6 - 3\/6. Is (g\/4)\/((-3)\/1356) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*m - 464, 4*m = -2*y + 552 - 96. Calculate the highest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15089 bigger than 15085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvlvciccccci. What is prob of sequence iicv?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 5*p**2 + p + 8. Let z be b(5). Suppose 10*n = z*n - 483. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q*q\/q**5*q)\/(q**(1\/4)\/q))\/((q\/(q**(-1\/5)*q*q))\/q)**(-2\/113))**(-18\/11))**(-41) assuming q is positive.\nAnswer: q**(-235053\/12430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -142, -315, -556, -865, -1242, -1687?\nAnswer: -2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h - 32. Let z be s(-5). Let l(w) = w**2 + w - 12. Let n be l(z). Suppose n*k - 4 = -2*i + 2*k, 5*i = 2*k + 4. Which is smaller: -3 or i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + w + 4*w + 40 = 0, -41 = -5*z + 4*w. Suppose z*v - 4 = 6. Suppose -2*b + 36 = -3*t, b - v*t = -b + 32. Solve 3*y + y + b = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 1. Let r be z(2). Let y be (0 - 2\/(-2)) + 1. Solve r*t = y + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 63 - 2*p + 37.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 65. Let z(m) = m**2 - 9*m + 10. Let u(c) = -c**2 + 18*c - 20. Let a(n) = -3*u(n) - 5*z(n). What is a(p)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-6)*(-104022)\/(-45) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9434 (b) 1.4 (c) -1\/7 (d) -2\/19 (e) -1\/2 (f) -4 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -15*x - 571. Calculate the remainder when 85 - ((-12)\/4)\/(-3) is divided by v(-41).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26132753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8735823182 - 13*a + 17*a - 8735823182.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 122222101 (base 3) in base 2?\nAnswer: 11001100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -10, -15, -14, -1, 30, 85?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 2)\/(8\/(-342828)*3). Suppose -3*y + j = -5*c + 3*c, 4*y - c - 38097 = 0. Suppose -9*l = 2175 + y. What is l rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -17. Let y = 8000 - 7997. Sort 4, y, c, 2 in decreasing order.\nAnswer: c, 4, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -39 (b) 0.5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2 = -3*t, 0 = -5*t - 8*l + 4*l + 12. Suppose -4*m - 4 = 5*p + 21, 0 = 3*m + t*p + 20. Let v(i) = m*i + 0*i + i + 7 + 6. Give v(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o - 31. Let l(u) = u**2 - 19*u + 14. Let c be l(18). Let g be v(c). Let h = 1\/21 - -5\/21. Are g and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 e when three letters picked without replacement from encehicmm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496575 is divided by 165523.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1, -4, 1\/6, 0.2, 2\/13, 2\/151, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*a**2 + 2*a + a + 12*a**2 - 28*a**2 in the form b + q*a**2 + l*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -119800 divided by -11980\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - r**2)*(2*r**2 - 2*r**2 - r**3) - 4*r + r**5 + 4*r - r**5 + 0*r**5 + 3*r**5 + 1 - 1 - r**5 + 37934*r**5 - 37931*r**5 + 9*r**3 + 3*r**3.\nAnswer: 6*r**5 + 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.39 - -0.01. Let k = -6.4 + g. Which is the second biggest value? (a) -6 (b) k (c) -0.2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 8 + 74 - 8 - 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25120084 divided by -13277?\nAnswer: -1892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g\/g**(1\/4))\/g))*g\/(g**(-2\/7)*g)*g*g**2*g**(2\/23))\/((g*g**(-1)*g)**(-1\/29)\/(g**(-2\/13)\/(g\/g**(2\/3)))) assuming g is positive.\nAnswer: g**(1944713\/728364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrro when four letters picked without replacement from nonnnnreeorre?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 11*i - 4 = 0. Let o be 0*i*(-3 - -2). Suppose 3 = 4*u - 1. Solve u + o = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -103, 25\/14, 0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7351, -7353, -7355, -7357, -7359, -7361?\n\"Answer: -2*z - 7349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - n + 7 = 0, 4*k + 5*n - 38 = -6. Let o = 9 - k. Suppose -o*x + 30 = -4*x. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 + 102 - 102.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2945, -2938, -2927, -2912, -2893?\n\"Answer: 2*d**2 + d - 2948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*f*i**4 + 4*f*i**3 + 2*f*i**2 + 206*f + 2*i wrt i.\nAnswer: -180*f*i**2 + 24*f*i + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 375 and -0.03.\nAnswer: -11.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 975 * -0.96\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3230122 (base 4) to base 14\nAnswer: 572a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 15. Let f(c) be the first derivative of -c**4 - 10\/3*c**3 + 12\/5*c**5 + 1 - p*c - 5\/6*c**6 + 9\/2*c**2. Find g, given that f(g) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*w = -50, -7*b = -3*b - 5*w + 94. Let q = b + 27. Find the second derivative of 7*a**2 - a - q*a + 0*a - 3*a wrt a.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 71 = -13. Let h = x - 73. What is the second derivative of 5*i + h*i**5 + 5*i + 5*i**5 + 16*i wrt i?\nAnswer: 320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4462476, 4462474, 4462472, 4462470?\n\"Answer: -2*h + 4462478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.21 (b) 22 (c) -0.753\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + -1444?\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 16\/3607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60013460 to the power of 1\/3, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(2662)*-3)\/(-2*-3*sqrt(72)) + -4)**2.\nAnswer: 22*sqrt(11) + 1587\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**2*x*y - 2*t**2*x + 68857*t**2*y - 148*t**2 + 317*t*x - 7*t + 51*x*y - 2*x wrt y.\nAnswer: t**2*x + 68857*t**2 + 51*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 607, 601, 593, 583?\n\"Answer: -q**2 - 3*q + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13083000 rounded to the nearest one hundred thousand?\nAnswer: -13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272658 is divided by 20965?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.04 - -0.04. Let t = g + 3.1. Let o = -28 + 27.7. What is the third biggest value in o, t, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*p - 38, 5*w - 4*p + 2 + 24 = 0. Let z(y) = -9*y + 1. Let b(m) = 9*m - 1. Give w*b(o) + 3*z(o).\nAnswer: -9*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -650, -1253, -1844, -2429, -3014, -3605, -4208, -4829?\nAnswer: -5474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1724, 5, 0, 26, -1, 43 in increasing order.\nAnswer: -1724, -1, 0, 5, 26, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-8)\/(-2)))\/((-376)\/5264).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5498, -5558, -5656, -5810, -6038, -6358, -6788?\nAnswer: -7346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -6700.\nAnswer: -2680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**0)**(-1\/55)\/(((c**(1\/8)\/c)\/c**(1\/5))\/(c**1\/c**(1\/6))) assuming c is positive.\nAnswer: c**(229\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-10) + (-844)\/(-20))\/2. Suppose 0 = -24*x + y*x - 33. Let j be -3*((-2)\/x - (-150)\/(-99)). Solve 5*o - 1 = j*u + 13, 0 = -3*o - 5*u + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -344 (base 12) to base 7.\nAnswer: -1261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, -1, 2, 1, -955 in ascending order.\nAnswer: -955, -1, 1, 2, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*y = 296*y - 2440 - 20120 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19061 is divided by 155.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 11:04 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(sqrt(19) + -1) + sqrt(133)\/sqrt(7) + 0))**2.\nAnswer: -144*sqrt(19) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32150\/17 greater than or equal to 1891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 194?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b - b + 0*b)*(-4 + 4 + 4*b) + (-2 + 2 + 2*b)*(2 - 2 - b) - 5*b**2 + 4*b**2 + 15*b**2 to q + c*b + i*b**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 792 and 18058392?\nAnswer: 18058392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1185600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 206*g - 2169. What is i(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543*g**2 - 27*g + 17*g + 10*g.\nAnswer: -543*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -161635 (base 7) in base 15?\nAnswer: -96a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 52 = 18. Let b = -104\/3 - q. Factor 1\/3*c**3 - 1\/3 + b*c**2 - 1\/3*c.\nAnswer: (c - 1)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -155*r**4\/4 - 577*r**3\/3 + 96*r**2. Differentiate d(n) with respect to n.\nAnswer: -930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:36 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -4. Let n = -0.3 - -0.2. Let c = -36757 + 36752. What is the closest to y in 4, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 278*a + 558. Let h be v(-2). Suppose -1\/3*j**h + 2\/3*j - 1\/3 = 0. Calculate j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/3)\/(9\/(-54)*6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 8. Suppose -2*v + v - f = 0. Let r(k) = 2*k + 1. Let d(w) = -2*w - 1. Let y(m) = -3*d(m) - 2*r(m). Give y(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 404 and 24139.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3 = b, -10 = -5*b - v + 5. Solve -w + b = 2*d + 4*w, -2*d = -3*w - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253655 - 7*l + 253655.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2 - 9*b + 1. Let q(c) be the first derivative of -2*c**3\/3 - 4*c**2 + c - 2269. What is -4*a(x) + 5*q(x)?\nAnswer: 2*x**2 - 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (3 + 4\/(144\/(-282543))). Let a = m + -7858. What is the common denominator of -127\/48 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34806187 to the nearest integer?\nAnswer: 5900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = -4*q, f + q = -2*f + 7. Let u(j) = -4*j**f + 2*j**2 + 5*j**2. Let l(r) = 4 + r - 4. Determine u(l(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1404434 and -3.\nAnswer: 4213302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 128\/12 - -1 - (-1)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4*n + 64, -4*n + 82 + 84 = 5*t. Solve 4*r = -13*r + t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 5:51 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-8\/7)\/t**(-2\/7)*(t**(2\/5))**(-3) assuming t is positive.\nAnswer: t**(-72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3472\/(-686) - (-22 - (17 - 34))?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 6*q + 6. Let c(k) = k**3 + 19*k**2 + 19*k + 23. Let v be c(-18). Let z be n(v). What is the highest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 6*u**2 - 5*u - 5. Let w be c(-6). Suppose -o + w = 4*o. Solve 0 = r - 2*r + o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5295 and 480?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -12. What is the first derivative of 4 - c - 5 - 1 - j wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/31 (b) -2 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggz when four letters picked without replacement from {l: 5, g: 9, b: 1, z: 3}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39971700 divided by -34758.\nAnswer: -1150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1587078 (base 9) in base 7?\nAnswer: -10342163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 - 7*h**2 - 6*h - 6. Let a be y(-6). Let v = 1 + a. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 51, 95, 139, 183, 227, 271?\n\"Answer: 44*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 15, 5, -76 in descending order.\nAnswer: 15, 5, -76, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + i + 22601, 134877 = 4*t + 5*i + 44455. List the prime factors of t.\nAnswer: 7, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 642378547 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2*v - 2)*(2*v + 1 - 1) + (-3*v - 2*v + 3*v)*(-4*v + v + 5*v) + 0 + v**2 + 0)*(4*v - 4*v - 4*v**3).\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -140 + 206. Let b be 44\/u - 19\/6*-2. Which is greater: b or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 41*l**7\/70 - l**6\/8 + 3973*l**5\/60 + 3903*l**2. Find the third derivative of y(d) wrt d.\nAnswer: 2952*d - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -983, -1001, -1037, -1097, -1187, -1313, -1481, -1697?\nAnswer: -1967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = -67 + 1746. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 7*t**2 - 5*t - 2. Let a be s(6). Let p(n) be the second derivative of -n + 0 - 1\/3*n**3 + 3\/2*n**2. What is p(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*f - 2736*a**3*l**2 + 146*f*l**2 + 8*f*l wrt f.\nAnswer: -2*a**3 + 146*l**2 + 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -0.16, 0.3, -7, -25, 2?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7392 is divided by 1198?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 143190361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -639 * 536\nAnswer: -342504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2029617 or 94?\nAnswer: 2029617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w**4 + 26*w**3 - 18*w**2 - 29*w + 8. Let i(u) = -28*u**4 - 104*u**3 + 73*u**2 + 117*u - 32. Let s(g) = 26*b(g) + 6*i(g). Let s(l) = 0. Calculate l.\nAnswer: -4, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1549 = 119*y - 954 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 3*c + 67 - 63, 4*n + 4 = c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -336745 or -0.2?\nAnswer: -336745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -9*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914 a factor of 192376921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c - 3. Let k be r(2). Suppose i - 2 = -2*b, -k = 2*i - 4*i - 5*b. Find the first derivative of -2 + u + i + u wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d**3 + 7*d**3 - 23*d**3.\nAnswer: -35*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -51\/2 smaller than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390846 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -683? (a) 4 (b) -1\/6 (c) 1\/4958 (d) -3 (e) 0.1 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1342.\nAnswer: -134.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + o - 1. Let w(y) = 18*y**3 + 6*y + 124. Let g(i) = 6*s(i) - w(i). Find the first derivative of g(m) wrt m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6277.\nAnswer: 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2. Let c(o) be the second derivative of -11*o**4\/6 + o**2 - 7*o. Let y(r) = 595*r**2 - 55. Let h(q) = 55*c(q) + 2*y(q). Give h(d(n)).\nAnswer: -80*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 116\/(-10) + 18\/30. What is the remainder when (-1 - t\/3)*(-3360)\/(-128) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324110024 (base 6) to base 5.\nAnswer: -2440410212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.2 (b) -2 (c) -2\/13 (d) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let f(r) = 2*r. Suppose -4*y = -5*w + 38, -7*y + 32 = 2*w - 3*y. Determine w*m(s) + 6*f(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2. Let i be ((-6)\/5)\/(28\/(-210)). Let b(m) = -i + 0 + 9 - 9*m. What is b(q(r))?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8101 is divided by 119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.34638 weeks in days?\nAnswer: 51.42466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k - 21. Let m(l) = 3*l - 20. Let y(g) = 7*a(g) - 6*m(g). Does 13 divide y(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3529042.\nAnswer: 2, 11, 47, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/15, -0.076, -2\/7?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2738900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209670 is divided by 43.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/19674 and -35\/27297.\nAnswer: 59671242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 473, 471, 469, 467, 465, 463?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2208, -0.45, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-97)\/(-388))\/(((-759)\/(-8464))\/33).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 405 and 480.\nAnswer: 12960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24431571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(1700))**2)*-3.\nAnswer: -5109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i - 2*i**2 + 9 + 9*i**2 + 4*i**3 - 3*i**3 + 0*i. Give l(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 15017.276?\nAnswer: 15017.276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111.935922767 - -0.063979233. Let u = -112 + p. Round u to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.363457 millilitres?\nAnswer: 0.000363457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 4118?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-78)\/(-4) + 2\/4. Solve 0 = -g - 3*g - j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 8*b = 3*b - 147 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - -83. Which is the second smallest value? (a) -10\/3 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 84*g**2*m*y + 142*g**2*m + g*m + 2*m*y - 1 wrt y.\nAnswer: 84*g**2*m + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 + 4 - 1)\/(3\/(-3)). Let d(x) = -7 - x**3 - 2 + 7*x**2 - o + 7*x + 20. Determine d(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.36078055 and 1?\nAnswer: 0.36078055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -19 + (0 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120002 (base 4) in base 13?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvtpt. What is prob of sequence pt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**2 - 84710705*g - 84710710 = 0.\nAnswer: -1, 16942142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 634696.831 to the nearest one thousand.\nAnswer: 635000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 3*i**2\/2 - 3*i + 2. Let m(d) = -6*d + 6. Let z(y) = 3*m(y) + 7*n(y). Find the first derivative of z(s) wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -2, 410 in increasing order.\nAnswer: -2, -1, 4, 410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -333 + 362. Suppose -5*q - 14 = -y. Solve o = q*i - 0*i - 8, 0 = 4*i - 2*o - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.01 + -0.01. Let y = 45 - 46. Let j = 457 - 455. Which is the closest to -1? (a) y (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/44*-10*((-8970)\/(-75))\/13?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - 12. Let i = -12589710 - -12589654.99969. Let r = f - i. What is r rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 7. Suppose 33 = s - y, 4*y - 33 = -2*s + 15. Suppose -5*b = -q + 36 - 9, 5*q = 4*b + s. What is the nearest to 1\/5 in 2\/5, m, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*s = -s - 257*s + 157032. Calculate the remainder when s is divided by 212.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, l: 1, b: 6, n: 2, g: 3}. What is prob of picking 1 g and 1 b?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 - -1.8. Let z = -7.05 + 0.05. Let y = 10 + z. Is b not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 + 1161*d**4 + 2331*d**3 + 1167*d**2.\nAnswer: -3*d**2*(d - 389)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvz when three letters picked without replacement from {t: 1, z: 1, x: 2, v: 1, n: 5}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2377 - 1424. Suppose -x + 323 = o. Round o to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1006653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -2*o**3\/3 - 13*o**2\/2 - 11*o + 7. What is the smallest common multiple of 15 and y(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 q when four letters picked without replacement from oosqsooomoomoqsmso?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 10. Give d(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18836 - 18836.000033984. Round l to 6 dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 + 0 = 0. Suppose 16*n + 4 = 20*n. Is n equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -657\nAnswer: 5\/657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**5 - 1460*o**4 + 1440*o**3 + 5840*o**2 - 5824*o = 0.\nAnswer: -2, 0, 1, 2, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011111101010001110000 (base 2) to base 15.\nAnswer: -41db6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + 0 + (6 - 8) - -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 76. Suppose q = -5*z + 60 + 160. What is the greatest common divisor of 22 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 671\/7 + -98. What is the common denominator of z and (-53)\/(-5) - (-6 + 5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1231016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 14*j**2 - 46*j + 4. Calculate the lowest common multiple of a(-7) and 920.\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1908, -3816, -5724, -7632, -9540?\n\"Answer: -1908*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2 + 2652747*l + 2652746 = 0.\nAnswer: -2652746, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 53*w**2 + 110*w. Let k be u(55). Solve 0 = 4*b - 16, 4*f + 5*b - 40 = k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*m**2 - 172*m**2 - 158*m**2 + 699*m**2 - 1 - 168*m**2.\nAnswer: 65*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b = 32*b + 1540. What is the smallest common multiple of 66 and b?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/3*-2*8\/56\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/3 + (-1)\/(-3). Let l(u) = u**2 + 104*u - 1784. Let z be l(15). What are the prime factors of 21*(3\/m)\/(z\/(-6))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.77 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbeeeoo. What is prob of sequence oo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94 - -101) + (-3 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/v**1)\/v)*v)\/v)**(-4\/5)\/(v\/(((v\/v**(2\/3)*v)\/v)\/v))**(-1\/9) assuming v is positive.\nAnswer: v**(-191\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 4. Suppose 0 = 5*d - 2*i + 3, 0*d + i + 5 = -4*d. Is d equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-5 - -7) + (5 - 0)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/((k\/(k*k\/(k*k**5*k)*k*k))\/k))\/k))**(2\/99)*k\/(k**(2\/9)\/k)*k*k*(k**(-13)\/k)\/k assuming k is positive.\nAnswer: k**(-1103\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 + 2*x - 1. Let b = 4 - 2. Calculate the remainder when 55 is divided by g(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/215 - -138\/43. Calculate the common denominator of 1*-1 - 16\/(-22) and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122571681 and 909.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -78934 divided by 78934?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10 + -14 - 6 - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*o + 168, g = -87*o + 86*o + 33. Suppose -5*k = -1 - 4. Let y = k - -3. Calculate the highest common factor of y and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(5\/54*(-87)\/(-145))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -708294.\nAnswer: -708296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 11*g**2 + 13*g - 49. Let d be w(8). Calculate the highest common divisor of d and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.3, -73\/3 in descending order.\nAnswer: 0.5, -0.3, -73\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -5 - 1\/4*q**4 - 4*q + 2*q**2 + 1\/3*q**3. Let s(a) = 0. Calculate a.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 284 - 25559\/90. Let s(y) be the third derivative of n*y**5 + 5*y**2 + 1\/180*y**6 + 0*y + 0*y**4 + 0*y**3 + 0. Factor s(d).\nAnswer: 2*d**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 126*z**2 - 60*z**2 - 20*z - 64*z**2 - 79. What is the tens digit of d(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/7 + 274*o**3\/7 + 542*o**2\/7 + 270*o\/7 = 0.\nAnswer: -135, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 - 100. Let x = 127\/4 - 32. Let z = 0.46 - -0.04. What is the closest to x in z, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven thirds of a day in minutes?\nAnswer: 36960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53281, -213123, -479517, -852451, -1331913?\nAnswer: -1917891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q - 4. Let d(m) = 4*m + 3. Suppose -2*f + 28 = -5*g + f, 2*g + 13 = 3*f. Determine g*j(w) - 8*d(w).\nAnswer: -2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**5\/140 + v**4\/28 - 2*v**3\/21 - 6*v**2\/7 + 86*v - 3. Suppose s(r) = 0. Calculate r.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 24. Let n(x) = 6 - v*x**2 + 5*x - 4*x + 5*x**2. Let z(w) = -1. Let m(s) = n(s) + 4*z(s). Calculate m(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*j - 144*j = l + 117, -2*j + l - 6*l - 45 = 0 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-652)\/50 - (-79)\/(-553)*-91.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - o + 2*o + 20 = 0, -4*h = -2*o - 78. Suppose 3*k = 4*q + 18, 7*k + 28 = 11*k - 4*q. Calculate the remainder when h is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15259689.\nAnswer: 3, 313, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3961 and 9299?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9)\/((-48)\/(-27) - 2). Let v(m) = -m**3 + 4*m**2 - m - 2. Let t be v(n). Solve 0*u = -t*w + u - 5, 5*w + 13 = -u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -12, 376 in descending order.\nAnswer: 376, 6, 5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -2.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18473 + 18458 = -9*i + 10*t - 2*t - 6*t, -t = 4*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343122805?\nAnswer: 5, 19, 113, 31963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eooeoexkoxxeeeeeoeek. What is prob of picking 2 o and 2 x?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-90*h - 37*h**2 + 90*h)*(-5 + 5 - h)*(h - 3*h + 4*h) to the form t*h**3 + c*h**2 + n*h + f + r*h**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 3*x + 3. Let u(b) = b - 1. Let p(v) = v**2 - 4*v + 8. Let j(t) = p(t) + 6*u(t). Let k(f) = -6*g(f) + 7*j(f). Is k(-4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-50)*(-370)\/37.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 18*c**2 + 16*c - 1. Let j be b(-17). List the prime factors of (-4)\/(-1) + -6 + j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**3\/2 + 145*v**2 - 280*v = 0. Calculate v.\nAnswer: 0, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 3) to base 11\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 6*o**2 - 6*o - 7. Suppose 3*d = 6*j - 9*j + 18, -2*j + 11 = 3*d. Let z be a(j). Factor -5\/3*f**5 - 5\/3*f**3 + 0 + 0*f + z*f**2 - 10\/3*f**4.\nAnswer: -5*f**3*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 24, 55, 98, 153, 220?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 489 + 485 = 0, -5*i - 4635 = -5*u. What is the remainder when u is divided by 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -19) + -12 + (-4 - (4 + -11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2236, -2281, -2356, -2461, -2596, -2761, -2956?\n\"Answer: -15*m**2 - 2221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z + 25. Let v be i(6). Which is bigger: v or -4\/57?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -5. Let u(h) = -4 - h**g + 3*h + 3 - 2*h. Let q(x) = -2*x**2 + 3*x - 2. What is q(b) - 4*u(b)?\nAnswer: 2*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3528*l + 3528*l - 3*l**2 - 81 to the form v + g*l + t*l**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 897 - 896 - g - 3*g. Let p be ((-2)\/4)\/((-1)\/(-6)). What is b(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8406.\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 34508*w - 148850258.\nAnswer: -2*(w + 8627)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16448 - -673. Let r = k + -1438147\/84. What is the common denominator of r and -47\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6*u + 10 = 0, 4*j - u - 2 = 0. Let k(z) = z**2 + z + 4. Give k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3798 and 1003938?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 923*b + 54*b + 96925 - 4651 = -1389*b for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28755.395 rounded to the nearest 10?\nAnswer: 28760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4331113 (base 5) in base 2?\nAnswer: 10010000010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -44. Let d be s\/8*8\/(-12). Let f be (-8)\/(-4) - 0\/(-2). Calculate the greatest common factor of f and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2032 - 3?\nAnswer: -2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 245 + -227. Suppose -19*a = -b*a - 123. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3159212?\nAnswer: 2, 7, 17, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1308196.\nAnswer: 2, 359, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25*2)\/((-14)\/5*(-405)\/(-567)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8427, 8396, 8357, 8304, 8231, 8132, 8001?\n\"Answer: -n**3 + 2*n**2 - 30*n + 8456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12322 - -210331311?\nAnswer: 210312323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 2, b: 2, u: 5, k: 10}. Give prob of picking 2 u.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 3*z**2 + 3*z - 2. Let l be x(3). Let n = 11 - l. What is the nearest to 0 in -1\/2, n, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1\/2 - 4\/(-6)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 8*o - 7. Suppose -3*s + 26 = 4*l, -s + 4*s + 19 = 5*l. What is the remainder when 8 is divided by a(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 11*h**4 + 5*h**3 - 30*h - 5. Let c(p) = -2*p**3 - 6*p**4 + p - 5*p + 2 + 19*p. Let z(q) = -5*c(q) - 2*m(q). Find the second derivative of z(w) wrt w.\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s + 3 + 0 + 2. Let p = 190 - 185. Let b be c(p). Solve 5*y - b = -0*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5\/4 + 3033*v**4\/2 + 715500*v**3 - 105513009*v**2\/2 - 1125923715*v\/4 = 0. What is v?\nAnswer: -1043, -5, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 389 + -140.575576.\nAnswer: 248.424424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.166? (a) -4\/5 (b) 5 (c) 69 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.587265 minutes to microseconds.\nAnswer: 155235900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-14))\/(2\/6). Let q = 1170.5 - 1171. Which is the closest to d? (a) q (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40796 - 1305661\/32. Let q = n + 4567\/608. What is the common denominator of q and (-455)\/(-91)*((-18)\/21 - -1)?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (0 + (5 - 5))) + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -26. Calculate the remainder when 40 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2405 or -2616?\nAnswer: 2405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeee when four letters picked without replacement from {z: 2, e: 7, q: 3}?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -15. Suppose -2*n + 321 = k*y, 0 = 4*n - n - 2*y - 491. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-960)\/(-600))\/(8\/10). Let r(i) = -4*i**3 - 3*i - 2. Let h(o) = -35*o**3 - 30*o**3 - 14*o + 44*o**3 - 11. What is y*h(d) - 11*r(d)?\nAnswer: 2*d**3 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3798533\/5876 + 8403\/13. Calculate the common denominator of y and 39\/1243.\nAnswer: 4972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 25753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*((-4836)\/217 - -26).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5 = -5*w, w + 3*g = -2*w - 9. Let r = -0.32 - -0.09. Let n = -0.17 + r. Which is the closest to 1? (a) -4\/5 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14021.4638 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 times -3?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 55. Suppose -m*z = 3*q - 3, 3*q = 2*z - q - 22. Let d be (0\/(-4 + 8))\/(z - 0). Solve d*i - i = -3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2522526413 to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 9, k: 5, e: 2, f: 3}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -246 + 1?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**5\/20 - 2*x**4\/3 - x**3\/2 + 9*x**2\/2 + 3*x - 213. Let u be ((-48)\/15)\/(3*8\/60). What is h(u)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 + -5 + -4 + -1 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197013 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -643 by -19.\nAnswer: 643\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 14. Let j(y) = 3*y - 13. Let u(a) = 4*j(a) - 5*k(a). Let q(t) = -6*t + 37. Let i(c) = -4*q(c) + 9*u(c). Is i(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*r + 5*g - 23, 3*r + 4*g = 32. Suppose 0*f - b = 5*f - 50, -3*b - 59 = -r*f. Calculate the remainder when 31 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 (base 13) in base 5?\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 455 - 415. What is the remainder when b is divided by 1\/((-2)\/2) - -15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 902060580 to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 18*i**2 + 32*i + 5. Let b be g(16). Suppose -9*s + 7*s = b*s. Solve -2*f + s*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 22*g + 66. Let t be s(-3). Calculate the least common multiple of t - (-1)\/2 - 77\/(-14) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9763148 by 2.\nAnswer: 4881574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 2375.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(3\/13))**(1\/24)\/((g\/((g*g**0)\/g))**(-18))**(2\/11) assuming g is positive.\nAnswer: g**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26\/(-8))\/(1\/4). Let g be -2 - (0 - -2 - -2). Let c = g - l. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 361900395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*a**3*b**2*p - a**3*b**2 - 15*a**3*b*p + a**3*p + 3*a**3 - a**2*p - 6*a**2 + 21*a*b**2*p wrt b.\nAnswer: 88*a**3*p - 2*a**3 + 42*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3455058?\nAnswer: 2, 3, 179, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 38 (b) 8\/3 (c) -0.12 (d) -8\/3 (e) 0.1 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -761.16 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**2\/17 - 824610*d\/17 + 1649228\/17 = 0.\nAnswer: -412307, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 0.07, -4, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/21)*k)\/k**(6\/13)*(k*((k\/(k\/(((k**(-5\/7)*k)\/k)\/k)))\/k)\/k)\/(k*k\/k**(3\/10)) assuming k is positive.\nAnswer: k**(-8111\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 76. Is (-84)\/(-2) + 0\/r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -3 in increasing order.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259306 or 409?\nAnswer: -259306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5530294233 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 o when four letters picked without replacement from ooorrro.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -499*f**4*k - 7*f**4 - f*k - 56*f + k + 6 wrt f?\nAnswer: -5988*f**2*k - 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -885 - -884.282. Let q = 0.002 - y. Let l = q + -0.719989. Round l to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3, 4, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10539367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 6*s**2 + 5. Let o be r(6). Suppose -9 + 49 = o*n. Let h = 32 - 10. Calculate the remainder when h is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o**2 + 1. Let i(s) = 56*s**3 + 404*s - 814*s + 410*s + 46 + 52*s**2 + 6. Give -6*i(w) + 312*k(w).\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/66)\/((-7)\/(-4)). Which is the smallest value? (a) -0.4 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s = -9. Suppose s*v - 25 = -2*v. Solve -1 = -v*o + 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8176670 to the power of 1\/2, to the nearest integer?\nAnswer: 2859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -1 - (1 + (4 - 2)). Let r be 0 + 0 + 1 + -3. Let n = r - -6. Let z(x) = 2*x - 5. Let g(m) = 2*m - 4. What is h*z(a) + n*g(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 10:31 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aajhhjiahhhhjjjaaah. Give prob of picking 1 i and 1 h.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-112)\/(-6) + (130\/(-30))\/(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-602000)\/(-27950) - (1 + 21)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15235 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*x - x + 261, -5*y = 5*x - 255. Suppose -11 = -3*q + y. Let z be 15 - (-1 + 1 - -1). What is the highest common factor of q and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -56. What is the units digit of (-384)\/(-180) + 4\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119206239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36626 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1023 * -71.\nAnswer: 72633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-6)\/(-9)*-3. Suppose -g = -s*g + 28. Suppose -d = 3*d - g. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 101*n**3 - 4*n**2 - 10*n + 97. Let v be a(5). Calculate the highest common divisor of v and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -24 (c) 73 (d) -1.16 (e) 0.4 (f) -2\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -13. Let y be 2\/(-8) + (-548)\/32*-2. Suppose 2*u - y = 2*s, -u - 3*s - 2 = -11. What is the highest common divisor of r and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524476 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 - -8 - (1 - 3). Let a be 10\/s + 2\/3. Suppose 0*l + l - 2*y = 25, -a*y + 16 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33992, 33998, 34014, 34046, 34100?\n\"Answer: y**3 - y**2 + 2*y + 33990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1005 = 4*p - p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 968 = -3*f + 14*f. What is the highest common divisor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 100 = d - 5*v, -2*v = 2*d - 28. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34499, 69007, 103515, 138023, 172531, 207039?\n\"Answer: 34508*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1403.60273 and -0.01802.\nAnswer: -1403.62075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 3 - 20\/5 - -21. Suppose f*j - 37 = 323. What is the highest common factor of j and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 109.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.896756 tonnes to grams.\nAnswer: 1896756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2235 - 2234.988. Let d = -3.11 - -0.11. Which is the third smallest value? (a) d (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8 = y. Suppose 0*x - y = -3*u + 5*x, 0 = u - x. Let i be (-1 + u)\/((-13)\/1885000). What is i rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*s - 33*s - 35*s = 64570. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - ((2 - 1) + -3). Suppose -c = f*c. Solve c = -4*a + 2*a + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -2)\/((-1213416)\/(-173346) - 7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 - 868*k\/3 - 188356\/3.\nAnswer: -(k + 434)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 2*b - 54. Solve b = -c - 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16240 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)*y\/((y*y*y*(y*y**(-5))\/y*y)\/y)*(y**0)**27 assuming y is positive.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -4\/3, -1\/601449, 0.4?\nAnswer: -1\/601449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 49. Let r be 4*-4*b\/20. Calculate the least common multiple of 3 - (r\/4 - 5) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 748 and 3212?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173 - 1 + 639*q - 280*q + 2*q**2 - 359*q.\nAnswer: 2*q**2 - 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 24. Suppose 5*f - 4*z - 285 = 471, c = -2*f - 5*z + 309. What is the highest common factor of f and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155 - 572*v**2 - 155 + 16*v**2 + 1171*v**3 wrt v?\nAnswer: 7026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.3 - 1.9. What is the second biggest value in -5, -2\/3, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1087 and 26?\nAnswer: -28262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 3\/5, -0.3, 1\/3, 2\/511?\nAnswer: 2\/511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 = 2. Let m be 5\/(42\/(-10) - -4)*-1. Let b(y) = -71*y + y**2 + m*y + 20*y + 2 + 24*y. Determine b(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3077349 by -11.\nAnswer: -279759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/5 - 588*t**2\/5.\nAnswer: 3*t**2*(t - 196)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2572*o + 2323 wrt o.\nAnswer: -2572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16879994.\nAnswer: 2, 43, 196279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20048833, -40097666, -60146499, -80195332, -100244165?\n\"Answer: -20048833*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 497088133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/36*208\/(-39)*(-3)\/40*-10.\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 81 + 325 - 90 + 19*a - 83 + 5*a**2.\nAnswer: 5*a**2 + 19*a - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99812, -399244, -898298, -1596974, -2495272, -3593192, -4890734?\nAnswer: -6387898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2\/5*20. Let f(z) = -3*z - 7. Suppose -3 - 12 = -3*g. Let k(y) = 5*y + 11. Give g*k(i) + x*f(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60452 by -254.\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.25 + -2.2483. Let q = x + -0.002552. Round q to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/63*140\/30\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -22, -18, -14, -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719931 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Suppose 0 = 5*v - d - 33, z*v + 4*d - 6 = -3*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5366 less than 1.6823?\nAnswer: -5364.3177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/8 - 169\/8.\nAnswer: (i - 13)*(i + 13)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -97372 divided by 2299\nAnswer: -8852\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-1))\/(468\/18)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46017151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102620167 - 15?\nAnswer: 102620152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 96\/15 - (-4)\/(-10). Let l be (-62)\/(-8) - q\/8. Let x = 0 + l. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-3*2)\/(sqrt(8) - 2*sqrt(16)\/sqrt(2)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -0.018.\nAnswer: 0.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*o**2 + 48*o**2 - 113*o**2.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 149050 and 596200?\nAnswer: 596200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335 - 174*m + 178 - 513.\nAnswer: -174*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20106*x + 4224*x - 27544*x + 5148*x.\nAnswer: -38278*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 6 = 3*g, -5*g - 15 = -5*y. Let l be (-471)\/(-12) - y\/4. Suppose 30 = 3*c - l. What is the remainder when c is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 32 = 4*t, 0 = 4*t + 4*m + 6 - 2. Sort 0.3, -2\/3, t in decreasing order.\nAnswer: 0.3, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58.4 + -71. Let z = i + 12.6. Let r = 91 - 94. Which is the second biggest value? (a) z (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2204 is divided by 733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 9) in base 15?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/4*2*12\/27. Let w be (-19)\/4 - (-2)\/(-8). Which is the third smallest value? (a) d (b) 3\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/222 and -88\/21?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24558 - 65?\nAnswer: -24623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqxx when four letters picked without replacement from qxuxxxcruddu?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 181417931*q. Let b(j) = 9*j**2. Calculate c(b(l)).\nAnswer: 1632761379*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 52.20273.\nAnswer: 26.101365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2573*d**2 + 760*d**2 - 6 - 624*d**2 + 3 + 8*d.\nAnswer: -2437*d**2 + 8*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85529667 is divided by 17105930?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/93, 2\/11, -2, -1?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2552 + 2551 - 13130*s + 2554 - 7657 to the form p + t*s and give t.\nAnswer: -13130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/42 + 11*n**3\/21 + 12*n**2\/7 - 7457*n. What is m in q(m) = 0?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/131)*z\/(z\/z**(-30)) assuming z is positive.\nAnswer: z**(-3928\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 25 = -12*v + 7*v, -3*v - w + 19 = 0. Let k = -18.6 + 2.6. Let f = -15.8 - k. Which is smaller: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 - 2*x**2 - x. Let p be y(-1). Find the common denominator of (p*4\/(-120))\/(10\/(-32)) and 55\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-11)*(-4)\/(-6). Let c = l - 1819\/66. What is the common denominator of c and 73\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637335188.\nAnswer: 2, 7, 197, 227, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4146 is divided by 696.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 4*q - 2*q + (0*q - 3*q + q)*(0 + 0 + 3))*(-7 - 11 - 7).\nAnswer: 50*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.3 (c) -1 (d) 3\/2 (e) -6.768\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13552918\/15 or 903528?\nAnswer: 13552918\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 1 + 0 - 2. Let r(n) = -n**3 + n**2 + 2*n. Calculate the smallest common multiple of r(j) and 5\/((-15)\/(-12)) + 3.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1643 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72328 - -1084?\nAnswer: -71244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1970098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 770\/12 + (-12)\/72. Which is greater: 716\/11 or r?\nAnswer: 716\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 6*s**2 - s - 2. What are the prime factors of a(8)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151128742 - 147237.2?\nAnswer: -151275979.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -w - 153*z + 154*z, 5*z + 40 = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 285971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36431 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366490?\nAnswer: 2, 5, 67, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2288031 divided by 762677\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202545 - -1014?\nAnswer: -201531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**2\/2 + 3*f - 143. Let h(n) = -2*n - 2. What is -3*h(g) - 2*q(g)?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*52.44.\nAnswer: 1573.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 0*g + 0*g + (-2 + 1 + 2)*((3 - 4 - 1)*(-1 - 1 + 1) - 1 + 1 + 1)*(g**2 - 4*g**2 + 7*g**2).\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1633 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.3988 * -332.43.\nAnswer: -1129.863084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 12*z**2 - 17*z - 3. Let w be l(15). Let g be (w\/135 + -3)\/((-2)\/5). Let d = 7 - 3. What is the biggest value in g, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4584 and -29\/1910.\nAnswer: 22920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/3*3\/2. Let a(j) = -j**3 + 5*j**2 + 0 - s*j**2 + 2 - j - 4*j**2. Let c(k) = -k. Let i be c(0). Determine a(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 15*w - 80 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + p**4 - p**3)*(117 - 264 - 426)*(0*p - 2*p - 3*p).\nAnswer: 2865*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**8\/168 + 17*z**5\/20 - 125*z**4\/4 + 149*z**2. Find the second derivative of q(f) wrt f.\nAnswer: 40*f**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1335 is divided by 102.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 478 = -5*y, -4*y + 4*w - 334 = 34. Suppose i + 14 = -4*k, -16 + 0 = 2*k - 4*i. Let a = k - y. What are the prime factors of a?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -27. Calculate the smallest common multiple of 26 and q.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**(-5\/6)))\/y*y\/(y**(-2\/9)*y))**(-1\/8) assuming y is positive.\nAnswer: y**(-19\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*g + 3, 2 = 8*v - 9*v + g. Let p(f) = 31*f + 2. What is p(v)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 2*i - 8 = -3*v, -3*i - 22 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 624566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**3\/6 - p. Let l(x) = 10*x - 3. Let b(s) = -221*s + 68. Let v(g) = 3*b(g) + 68*l(g). What is q(v(c))?\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + -14 + 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448*r + 68*r - 284*r - 395*r.\nAnswer: -1059*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-8) - 123\/(-4) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23922 times 1.6855?\nAnswer: 40320.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/346 and -79\/14.\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -39a - 92a7?\nAnswer: -9685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**4 - 3*d**2 + 0*d + 9*d**2 + 0*d**2 + 2*d in the form u*d**2 + h*d + k*d**4 + b + g*d**3 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 8:21 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7585.\nAnswer: 5, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 166639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -10.85. Let i = 493\/5 + -99. Let r be -1 + 0 + 3 + 25\/(-10). Put -2, y, i, r in ascending order.\nAnswer: -2, r, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 3*f**2 - 3*f + 2. Is d(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9683 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26058.69984 + -26139.7. Let r = w + 81. Round r to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8 = -2*f - 4*d, 0 = -2*d. Suppose 0 = -5*n - 2*y + 9996, -f*y - 2 = 6. What is n rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (63*x - 298*x**2 - 63*x)*(x - 3*x + 5*x) to the form j*x**2 + y + f*x + i*x**3 and give i.\nAnswer: -894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 0)*(-44)\/(-88). Let x(n) = 5*n**2 - n - 1. What is x(f)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(204)\/(sqrt(48)\/sqrt(4)))**2 + -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 190 - 136. Suppose -2*w + k = -8*w. Let y(p) = -p**3 - 10*p**2 - 9*p + 4. Let x be y(w). Solve 0 = x*h - 6 - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (18 - 10) + -23 + (-7 - 6) - 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*y + 44*y + 7 = -x, 0 = 7*x - 10*x + 7*y - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9621667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {g: 4, d: 14}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*l**3 + 4*l**3 + 22*l**3 + 13*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 4*y + 12)*(0 - 4 + 2)*(8*y + 13*y + 7*y) to the form m*y + n + p*y**2 and give p.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w - 39. Suppose -6*o + 40 + 8 = 0. Calculate the remainder when 63 is divided by t(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606 is divided by 540.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*h + 46*h + 43*h)*(-3*h + 2*h + 0*h) + (-2*h + 2*h + 2*h)*(3*h - 5*h + h).\nAnswer: -113*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -54794.\nAnswer: -3\/54794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 822 = -15*n + 867. Let t(g) be the first derivative of -5\/6*g**4 - 5\/18*g**6 - 5\/3*g - 10\/9*g**n + g**5 + 5\/2*g**2 + 6. Determine v so that t(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = 5*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-1\/18)\/d*d))\/d**4)\/(d**(-11))**(-1\/33) assuming d is positive.\nAnswer: d**(-77\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = l + 18, -75503*k + 75500*k + l + 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 114 = -5*d, -2*k - 10 + 128 = 4*d. Let z be (-3 - k\/(-2))*2. Suppose -z = -3*y + 92. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*i - 52*i + 150*i - 519*i**3 - 52*i + 1845*i**3.\nAnswer: 1326*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.1. Let x(c) = -3*c**3 - 11*c**2 + 4*c - 63. Let m be x(-9). Let g be 3\/(-2)*76\/m. What is the biggest value in p, g, -4, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - (-1*sqrt(78) - sqrt(78))*-3) + sqrt(78))*-5)\/(sqrt(18)\/(sqrt(3) - sqrt(33)\/sqrt(176))) + -2 + -3.\nAnswer: -5 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7451 + -61.73084?\nAnswer: -60.98574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -162 and 0.482?\nAnswer: 162.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f + 22 = 0. Let t(c) = -3*c - 31. Let x be t(f). What is the hundreds digit of ((-328)\/(-4) + -4)*3\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhn when three letters picked without replacement from hhhhhhhnnnhhhhhh.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 9. Suppose u*a - 4*g - 26 = 0, 0 = 2*g - 1 + 5. Suppose -a*b = -2*b - 2*s - 78, 60 = 3*b - 2*s. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10519504 is divided by 1753250.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - u - 6. Let t(k) = k + 8. Let v be t(u). Solve -2*b = v*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 17*d**2 - 7*d + 3. Let l(t) = 8*t**2 - 4*t + 1. Let w(b) = 9*l(b) - 4*u(b). Let z(n) = 5*n**2 - 9*n - 3. Let m(x) = -7*w(x) + 6*z(x). Is m(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9942 and 14808609?\nAnswer: 29617218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 211*v**5\/5 - v**3 - 10*v - 239. What is the third derivative of d(i) wrt i?\nAnswer: 5064*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1577 - 1577.0000727. What is t rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-296)\/(-3)*(-6)\/(-4). Let s = m - 91. Let g = s - 40. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.227 + 0.027. Let w = t + 4. Which is the second biggest value? (a) 2\/5 (b) 2\/13 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Suppose 4*r = 4*m - 9 - 15, -t*m = -5*r - 30. Let y(s) = s**2 + 7*s + 9. Let g be y(r). Solve c + 0*c + 9 = 2*l, -2*l + 19 = -g*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 10*d**5 + 24142*d**4 - 7*d**5 + 123*d**3 - 126*d**2 - 24178*d**4 = 0.\nAnswer: 0, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 385620125 by 280451.\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmzjqmpzbmqjzpjpb. Give prob of picking 1 q, 1 j, and 1 m.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 + 0.79. Which is the nearest to 0? (a) 2\/19 (b) r (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**3\/3 - 503870*k**2\/3 + 68456960*k\/3 - 775583520 = 0.\nAnswer: 68, 100638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*s**4 + 86 wrt s?\nAnswer: -68*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136 - 118*p + 15*p + 124)*(2*p**2 + 0*p**2 - p**2).\nAnswer: -103*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*f - 7*r - 19, 3*f - 25 = r. Let u = f + -5. Suppose u*k - v = 76 + 78, 3*k - 4*v - 157 = 0. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let x(n) = -3*n. Let d be 2\/7 - 5\/(-7). Let a be 0 + 13 - (3 - 2). Suppose 0 = l + 4*l + 5*v, 3*v = a. Give d*x(k) + l*p(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769430661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*r = -p - 23, 2*p = -2*r + 4. Suppose -j + 2*v + 10 = 0, -5*j - 20 = -v - 70. Solve 0*t - j = r*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n**2 + 8*n - 13. Let z(y) = 2*y**2 - 130*y - 139. Let b be z(66). Let r(p) = -3*p**2 + 3*p - 4. Calculate b*r(u) + 2*x(u).\nAnswer: u**2 - 5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -747705 + -334?\nAnswer: -750241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -16*m**4 + 228*m**3 - 40*m**2 - 228*m + 56 = 0.\nAnswer: -1, 1\/4, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 d when three letters picked without replacement from ddqt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a second in milliseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b151b1 (base 12) to base 15.\nAnswer: -399bda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1935)\/7525*(-10)\/(-6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56429 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k**5\/13 - 14*k**4 - 18*k**3\/13 + 1238*k**2\/13 - 672*k\/13 - 360\/13 = 0. Calculate k.\nAnswer: -30, -3, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.89231 and 2137?\nAnswer: 1906.86647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:11 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s + 573. Let l be d(48). Sort -364, l, 5.\nAnswer: -364, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 times 9038\nAnswer: 551318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (36 + -31)) + -4 + 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9454675777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3260.6 - 3261. What is the closest to q in -64, -1\/6, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 at least as big as 1\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 840 = -4*g, -6*g + 2*g - c = -840. Suppose -l = 5*m - g, -2*l - 4 = -2*m + 80. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpfw when four letters picked without replacement from pppwpwpppppffpppfpw.\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 + 29)*120\/70620?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*s**2 + 43*s - 16*s**2 - 41*s.\nAnswer: -44*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 17. Let m be c(6). Suppose -339 = -4*l - m. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*h**2*j*m - 784*h*j*m + 2*j*m + 8557*m wrt h.\nAnswer: -10*h*j*m - 784*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 10. Let z be s + -4*(0 - 1). Solve 4*y + 18 = 2*u + 4, -y - z = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 1. Let z(o) = 7*o + 72. Let w(c) = 4*x(c) - z(c). Let r be w(-6). Suppose 0 = s - 3*l - 12, 4*l = s - 8 - 7. Sort r, 0, s in decreasing order.\nAnswer: s, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w - 5. Suppose -117 = 8*p - 149. Suppose -3*m - 17 = -p*i - 1, -4*m = 0. Give t(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2935596739.\nAnswer: 31, 139, 681271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*d - 1965, 4*d - 5*n = -7*n + 2620. Suppose d = z - 4*s, 6*z - z = s + 3218. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 36*v**2 - 158*v - 96. Let j be i(-31). Which is the second smallest value? (a) j (b) 0.05 (c) -43\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171311347.\nAnswer: 173, 990239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i + 1. Let t(j) = -j**2 + 30*j + 765. Give f(t(r)).\nAnswer: 12*r**2 - 360*r - 9179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010011110000011 + -1101110001?\nAnswer: 100010010000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1099660 divided by 219932.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-3)*6\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 + 105. Let t be (-7)\/4*30\/(-35)*d. Suppose -q = 3*z - 12, -3*z - 5 = -4*q - 2. Solve -t*o + 4*h = 25, o - 5 = -z*h + 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -828, -1751, -2664, -3561, -4436, -5283, -6096, -6869?\n\"Answer: c**3 - c**2 - 927*c + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 1. Let o be x(-2). Determine k, given that 0*k**4 - 6*k**o + 3*k**4 + 2 - 2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1584 and 168?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/45)*g)\/g)\/(g**(9\/4)\/g) assuming g is positive.\nAnswer: g**(-37\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - j**3 - 4*j**2 - 3*j**2 + 3 + 3*j**2. Let t be p(-4). Let m be 2 - 68\/(-32)*-1. Which is the third smallest value? (a) t (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 10 + 2*r + 14*r**2 + 41*r.\nAnswer: 14*r**2 + 43*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 8808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7681551*h - 7681839*h = -3168 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1094 - -1099. Solve 0 = -k - 4*k + c + 27, a*c = 5*k - 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1481135260 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1672 + 1672 - 3*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = v - 201, -5*v = -3*z - 1014. Suppose -2*r - r = 5*p - 659, -r + 3*p + v = 0. What are the prime factors of r?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 divided by -2\nAnswer: -123\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2 - 36 = b, -2*d - 5*b + 19 = 0. Solve -c = 2*p - 12, -2*p = c - p - d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 279\/216*42\/(-10) + 4 and -11\/25?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*0\/(2\/(-2)). Suppose -3*m - 7 + 22 = q. What is the second derivative of -8*f**3 - m*f + 3*f + 11*f**3 wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 - 5*o**3 - 5*o**3)*(3 - 3 + o + (1 - 3 + 0)*(-o - 3*o + 6*o) - 3*o - 3*o + 4*o).\nAnswer: 65*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let m = -5 + 10. Solve m*d = f*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 614415, 1228842, 1843269, 2457696?\nAnswer: 3072123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 2*h - 39355, 3*h - 4*h + 19687 = 3*c. What are the prime factors of h?\nAnswer: 2, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*a**2 - 20*a**2 - 15*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007755194464 to 4 decimal places.\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-9)*o**(-2)*o\/(o*o*o\/(o\/(o\/((o\/(o**0\/o))\/o)))*o)*((o\/o**1*o)**(-2))**(13\/4) assuming o is positive.\nAnswer: o**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*x**2 + x**2 + 3*x**2 + 2*x**2 + x**2 - 2*x**2 + (18 - 19*x - 18)*(4*x - 5*x - x) in the form j + h*x**2 + k*x and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -100\/49229?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-1 + -2 - (-11 + 12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4*0\/2. Let m(w) = -w**2 + 8*w - 13. Let v be m(6). Let o be (v + b)\/(2\/(-46)). Round o to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**2*n)*n*n**(1\/19))\/((n**0*n*n*n)\/n)**(4\/5) assuming n is positive.\nAnswer: n**(-147\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2\/p*p*p*p**1\/p*p*(p**(-1\/10))**48)**(-3\/10) assuming p is positive.\nAnswer: p**(6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 16*x**2 + 7*x - 13. What is t(-15)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*s - 0. Suppose 0 = 2*f - 3*w + 10, 5*w = -f + 25 - s. Let p = 3 - 1. Solve -5 = -p*v + f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/11 and -6\/2387.\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-322)\/21 + 8)*-3 and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 445 + -255?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r = -5*l - 89, 103 = -3*r + 2*l. Let d = r - -196. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 + -172 + 66\/(-8) + 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4 - 1622*m**3 - 1616*m**2 + 3240*m = 0. What is m?\nAnswer: -810, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*o)*(4*o - 8*o + 25879 - 26335) to the form v*o + k*o**2 + i and give v.\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17436 divided by -6\nAnswer: -2906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i + 32*i = 5*j + 35, 4*i - 49*j - 265 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 3*i + 3. Let q be t(3). Suppose 5*f + 24 = 84. Calculate the highest common factor of f and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.248995 nanometers to millimeters.\nAnswer: 0.000004248995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.6 + -5.6. Let o = 39 + -39.2. Which is the smallest value? (a) o (b) -6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1000076 by -68.\nAnswer: 14707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.5, 0.084, 0, -1313 in increasing order.\nAnswer: -1313, 0, 0.084, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -2*c + 4. Let o(q) be the first derivative of 5*q**4\/12 - 49*q + 1. Let f(b) be the first derivative of o(b). Give f(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 8*n - 5. Let f be z(-7). Suppose 5*r + f - 17 = 0. Let y(k) = -35*k - 171. Let q be y(-5). Solve -q*g + r*g - 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5218 divided by -2609\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -15*t**2 + 21*t + 882 = 0.\nAnswer: -7, 42\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13\/27 + -97\/135. Suppose -189*i + 186*i = 3. What is the biggest value in 0.4, b, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583844137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 34394912?\nAnswer: 103184736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.120093 and -55000.817?\nAnswer: 55000.937093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6118453256.\nAnswer: 2, 764806657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**3\/3 + 13*j**2\/2 - 3*j + 7. Let i(d) = 3*d**2 - 38*d + 10. Let o(b) = -4*i(b) - 11*n(b). What is o(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*l = 398, 3*l = 5*r + l - 475. List the prime factors of r.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -183\/7 - -598\/21. Sort l, -5, 2 in increasing order.\nAnswer: -5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/15)\/m**(-1\/4))**(2\/85)\/((m**(-3))**46)**(6\/11) assuming m is positive.\nAnswer: m**(2111653\/28050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/2*8\/(-6). Let t be -1 + 2\/g*18. What is the nearest to 1 in t, -0.2, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 7*o**4\/12 - 37*o**3\/6 + 5*o**2\/2 - 2*o - 83. Give v(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -4 (c) -2\/367 (d) 1515 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20399711, -40799417, -61199123, -81598829, -101998535?\nAnswer: -122398241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -320 - -496. Let w(s) = -s**3 - 8*s**2 + s + 7. Let a be w(-7). Let g = -27 - a. What is the highest common factor of g and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 12 = 2*z. Let v = 139 + -140. What is the lowest common multiple of (v\/2)\/(3\/(-66)) and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 635.157 + -643.8. Round y to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 15246.04 weeks?\nAnswer: 9220804992000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-786 + 417 + 494)*(-4*p + 3*p + 2*p**2 + 0*p**2).\nAnswer: 250*p**2 - 125*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 63aa876?\nAnswer: 63aa873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -33*c**3 + 794*c**2 - 47*c - 17. Calculate t(24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2045 divided by 5.\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aajaajyjjajpjaapyja. What is prob of picking 2 a and 1 j?\nAnswer: 196\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.832582 years to months.\nAnswer: 81.990984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100101 + 100?\nAnswer: 100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, q: 5}. Give prob of picking 1 o and 3 q.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 2684*m - 657692. Determine t(226).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*r + 4*z, 7*z = -2*r + 3*z + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/4 + (-1)\/1. Let n = r + -3. Solve i + 3*i + 5*c = -17, 0 = 2*i - n*c - 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 14*m - 192. Solve 4*a + 4 = m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1702*l - 2. Let k be c(-1). Round k to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) -3\/10 (c) 0.5 (d) -2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-9 - -3) + -331 + 325.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -27 + 156 + -145?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20230 and 420.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18360 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 80?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8 (b) -83 (c) -3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.25 + -0.2. Let l = -0.09 + o. Let z = 0.01 - l. What is the nearest to 0 in -1, z, -2\/15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/31, 0.261, 0.4.\nAnswer: -1\/31, 0.261, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25.851 and 3.\nAnswer: 77.553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703*z + 705*z = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 7*j - 6. Let b be (-48)\/(-15) + 48\/(-40). Suppose -d = 3*f - 24, 0 = b*f + f - 2*d - 15. What is s(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1009, -22, -5.\nAnswer: -1009, -22, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 + 2 = 0. Suppose -350*n + 348*n = -4. Suppose 0 = -n*v - u*v + 555. Calculate the remainder when v is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + z + z + 8*z as b*z + y and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.18 times -0.2\nAnswer: -0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 - -99. Let d(b) = b**3 + 4. Let x be d(u). Solve -s = -x - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + 11 - (-1 + -1)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*z + 13 - 118*z + 44*z + 25*z + 555*z**5 wrt z.\nAnswer: 11100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 14 = w - h, 0 = 5*h + 20. Let y = 4 - 4. Suppose 4*x + 3 = q, 4*x + y = 2*q - 6. What is the remainder when q is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 - -65. Is (633\/g)\/(0 - (-2)\/(-8)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22680 and 136080.\nAnswer: 136080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -580*i**2. Let w(k) = -18*k. Calculate w(c(z)).\nAnswer: 10440*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -183\/5 + 37. Let y = -20 + 22. Which is greater: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 5*y**2 + 4*y. Suppose -15 = -6*t + t. What is the remainder when k(t) is divided by 62 + -36 + 17 - 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32908, 32907, 32906?\nAnswer: 32905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-30)*-3*5*(-5)\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 7 - 3 - o**2 + 1. Let n be z(0). Solve 3*m = n*a - 17, 8*a - 3*a - 4*m = 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*r, 2*r = -f - 2*r + 68. Suppose f = 4*v - 252. List the prime factors of v.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 4:04 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) -4\/5 (c) -22 (d) 0.4 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -0*p + 3*p - 68575. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 25*o = 0, o = -5*f + 91 - 76 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 8 = -5*a. Let m be a + (0\/1 - 3). Solve 5*s = -t + 3, m*s - 3*t + 9 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 + -100. Let l = 134\/3 + f. Which is the nearest to 1? (a) 1\/6 (b) l (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -791 divided by -5.\nAnswer: 791\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h - 8. Let c be z(6). Let k be ((-633)\/(-2))\/((-3)\/(-2)). Suppose 51 = -c*u + k. What is the highest common factor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - ((-3)\/3)\/(-1). Let h(p) = 9*p + 49. Let s be h(-13). Let y = d - s. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 + 27*s**2 - 109 - 27*s**2 - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + 2*o**2)*(7 - 2 - 4) + 14*o**2 - 105 + 105.\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.131 - 18.069. Let r = s - -18. What is the closest to -1\/3 in 4, r, -0.01?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101\/436 + 2\/109. Let o = -2 + 2. Which is smaller: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*a + 136. What is the first derivative of -a + 131*l + 39 - 4 wrt l?\nAnswer: 131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*k**3*r**4 + 99*k**3*r**2 - 5*k**2*r**2 - 7*k*r**4 wrt r.\nAnswer: 1824*k**3*r - 168*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 458827086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -53573574 and -94457?\nAnswer: 53479117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + n**2 + 2*n - 4. Let x be (3\/(9\/2))\/(70\/(-315)). Calculate l(x).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 5*q**2 - 2*q + 1. Let n = -378 - -257. Let b = -113 - n. Suppose 2*u = b*u - 18. Give r(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 7791*k**2 + 31139*k + 7. Give m(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301218 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88.3837266153 + 1369.6162746837. Let g = t - 1458. What is g rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-50) + 374\/(-360). Let d = t - -5\/12. Which is the third biggest value? (a) d (b) 4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11663671\/8714692 - 3\/65524. Let o = t - 20\/19. What is the closest to 1 in o, 3\/7, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1308*y**2 + 1308*y**2 + 196*y**4 + (5*y**2 + 63 - 63)*(2*y**2 - 3 + 3).\nAnswer: 206*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 2*a + 27. What is the third derivative of 21*p**2 - p**3 - 16*p**2 - 19*p**a - 4*p**3 wrt p?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39567608 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 70065914 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 308 + 281. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90109530 divided by 14\nAnswer: -6436395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2532\/135 + 2\/(-10). Let v = w + -55\/3. What is the smallest value in -1, v, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3916*q + 46978. Calculate z(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10713532 to the nearest integer?\nAnswer: 3273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190 or 197?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1166 - -1177. What is the highest common divisor of 1837 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2489878 is divided by 2500.\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001010100001110011 + 1010?\nAnswer: -101001010100001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-2)*1*(-40)\/(-45).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28105bc + 0?\nAnswer: 28105bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 2714*t**2 + 95 - 44.\nAnswer: -2714*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 6*x**5 + 72478*x**4 + 31116418*x**3 + 82630874*x**2 + 72202376*x + 20615448 = 0?\nAnswer: -11634, -443, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -214189 (base 10) to base 3\nAnswer: -101212210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, r: 1, y: 1, f: 1, b: 5}. What is prob of picking 1 b, 1 r, 1 y, and 1 f?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -14*t + 1. Let b be 7*((-2)\/2)\/1. Let z be j(b). Calculate the greatest common factor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5407064 is divided by 10202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 127, 155, 205, 283, 395, 547?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 216 = -2*l + 242, 5*f + 8 = -4*l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22797 and 67383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10054, -20080, -30106, -40132, -50158?\nAnswer: -60184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + sqrt(1539) + 0 - sqrt(38)\/sqrt(72))**2.\nAnswer: 217531\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 838\/7 - 120. What is the nearest to s in 1, -3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**4 + 3*i**4 + 10*i**4)*(-3 - 3 + 5) + 4*i**4 + 2*i**4 - 4*i**4.\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**0*s\/(s**(-7\/3)\/s)*(s**1)**(1\/20) assuming s is positive.\nAnswer: s**(323\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308443 is divided by 36.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-510876)\/(-81444) - (-1 + (-28)\/(-22))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 204, 207, 208, 207?\n\"Answer: -d**2 + 6*d + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -20?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12214523?\nAnswer: 12214523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d. Suppose 0 = 5*w + 3*u - 0*u - 647, -5*u = 5. Suppose -9*n = c - 5*n + 122, -c = -n + 127. Let p = c + w. Give k(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 13*o**2 + 22*o.\nAnswer: o*(o - 11)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/(-10) - -10)\/((35\/125)\/(-7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 307 - 165268761318.\nAnswer: -165268761011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/32 - (12\/(-18) + 200\/84)?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/3 - 22*q**3\/3 + 1888*q**2.\nAnswer: -2*q**2*(q - 48)*(q + 59)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 8, -840, 22 in ascending order.\nAnswer: -840, 8, 22, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 + 65 = -37*g + 284 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8194 - -8264. What is the remainder when j is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 8 = y, 2*y - 12 = -y. Let s be 7\/4 - f\/4. What is the units digit of -4*(s + -1 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1073*b + 35 = 1074*b - 5*a, -6*b = -5*a - 85 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + u - 15, 4*u = -4*l - 45 - 15. Let y = -8 - l. Suppose -2*q = -3*x - 68 + 3, -4*x - 62 = -y*q. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4 + 590*u**3 + 0*u + 6*u - 592*u**3 = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y = 3. Let i(h) = -3*h - 1. Let x be i(y). Let p(d) = -d**2 - 6*d - 1. What are the prime factors of p(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -9 in ascending order.\nAnswer: -9, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 316*g - 10272. What is z(-276)?\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {h: 1, z: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f - 1. Suppose -3 - 2 = -k + 3*c, 3*k + c = 15. Suppose 2 = j - 4*t - 1, -j - k*t = 6. Let w be r(j). Which is smaller: w or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 10:48 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - a + 14 = 0, 2*j + 0*j = 4*a - 12. Let b(c) = c**3 + 6*c**2 - 8*c - 3. Let n be b(-7). Solve n*r + 0*m + 2*m = 0, -j*r = -2*m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58940?\nAnswer: 2, 5, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-26) + -1 + (-21518420)\/4041180.\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - 2 - (8 - 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:05 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28 times -0.049\nAnswer: -1.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 4, -5, 0, -4 in decreasing order.\nAnswer: 4, 0, -4, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3390*k - 3366*k = 24. What is the fourth biggest value in k, -0.4, -1, 142\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/7))\/(q**(-2)*q)*(q**(2\/5))**(-7) assuming q is positive.\nAnswer: q**(-23\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/((sqrt(72) + (sqrt(72) + 4*sqrt(72) + sqrt(72) - sqrt(72)) + sqrt(72))\/sqrt(9)).\nAnswer: sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -101111110011001100 (base 2) to base 10\nAnswer: -195788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, -0.18, -0.5, -14 in decreasing order.\nAnswer: -0.18, -0.5, -3, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dssd when four letters picked without replacement from {t: 1, q: 1, d: 2, s: 2, h: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983222697.\nAnswer: 3, 19, 71, 127, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -40, -69, 2, -3, -6 in increasing order.\nAnswer: -69, -40, -6, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007486635 to 5 decimal places.\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxbibbbbib. Give prob of sequence xi.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 540 - 543. Suppose 0 = m - 0*m. Let j(f) = f - 7. Let k be j(11). Sort m, k, v.\nAnswer: v, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 71*w**2. Let l = -544 + 547. Let m(q) = -8*q - l*q + 2*q + 0*q + 8*q. What is m(f(u))?\nAnswer: -71*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305625383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j**2 + 2*j - 1. Let g(u) = 3*u - 27. Let o be g(11). Let f(b) = 9*b**2 + 2*b - 1. Calculate o*k(m) - 5*f(m).\nAnswer: 3*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1404*k**2 - 2*k + 17682 wrt k.\nAnswer: 2808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-486)\/216*15\/((-54000)\/(-32))?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/3 + 552*g**2 - 1682*g\/3 - 6632 = 0. What is g?\nAnswer: -829, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.910806 years in months?\nAnswer: 58.929672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**11\/r)\/(r\/r**(-13)))\/(r**6)**(20\/11) assuming r is positive.\nAnswer: r**(-153\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57549337.\nAnswer: 1109, 51893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 284 and 141572.\nAnswer: 10051612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + (2 + sqrt(343)*-3*5 + -3 + -3)*-5)**2.\nAnswer: 25200*sqrt(7) + 1929951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/5)\/q*q*q*q**(2\/7)*q\/q**(3\/5)*q**(2\/7))\/(((q\/q**(2\/3)*q)\/(q*q**(2\/5)*q))\/(q**(-2\/5)*q**3\/q*q)) assuming q is positive.\nAnswer: q**(676\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -417 + 947. Let f = 532 - z. Solve v = f*v + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/6)\/(1\/(-3)). Let v = -2\/39977 - 39947\/599655. Let i = 31 - 32. Put 1\/2, v, i, y in decreasing order.\nAnswer: 1\/2, v, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minus 5.94?\nAnswer: 34.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d + 2*d**3 - 3*d - 5*d**3 + 6*d**3 + 3*d**3 + (8*d - 4*d + d)*(0*d**2 + 18*d**2 + 4*d**2) - 2 + 2 - d**3.\nAnswer: 115*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + -70?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18617494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:09 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 12*n - 13. Let r be t(-6). Let x = -137 - r. List the prime factors of -3*(x\/6 + (-1 - 0)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*j**3*t + 2*j**3 - j**2*t + 2*j*t + 3 wrt j?\nAnswer: -186*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -285\/1887983 or 1?\nAnswer: -285\/1887983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1815\/(-55)*((-3)\/(-9))\/((-2)\/(-2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u + 174*u - 5383 = -1639 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9644726 is divided by 6850?\nAnswer: 6776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*z - 61*z - 2 = 0. Let t be (-1)\/(-3 + (-4)\/(-2)). Put z, 2, t in increasing order.\nAnswer: z, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -168622?\nAnswer: -168623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1729*y - 2995*y - 6413*y - 7044*y + 1390*y as k + w*y and give w.\nAnswer: -13333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence roke when four letters picked without replacement from reaokeearoaekeoeeee.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 4 - 4)*(-3 - 2 + 4)*(35 + 29 - 5 + 1 + 6 - 4 - 4 + 0 + 2 + (-3 - 1 + 3)*(0 - 2 + 0) - 2 + 0 + 0 - 3 - 3 + 4).\nAnswer: 116*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26925 + -26941. Which is the closest to -0.5? (a) l (b) 0.6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*p + 18 = 3*j + 469*p, 3*p + 24 = 4*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 223263749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -507*f**3\/4 - 2067*f**2\/4 + 9291*f\/4 - 7581\/4.\nAnswer: -3*(f + 7)*(13*f - 19)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Suppose 0 = 27*q - 35*q + 56. Solve p - 6 = u*c - q*c, 0 = -5*p - 5*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8261 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/3)*w)\/(w\/w**29))\/((w*((w*w\/w**14)\/w)\/w)\/w**(-16)))**(-5\/8) assuming w is positive.\nAnswer: w**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + 4 - 10)\/(-3) - (-461)\/(-1392). Are l and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neknsonnsnen. What is prob of picking 2 n, 1 k, and 1 s?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(44)\/sqrt(4))*4.\nAnswer: -8 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - -5. Let a be 540\/21 - 4\/(-14). Suppose a = 3*v - u. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:03 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Let d be (4\/(-7))\/((-8)\/28). Suppose w*a - 1 = d*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5478705?\nAnswer: 3, 5, 40583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -45.99999828. Round a to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366552?\nAnswer: 2, 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/19))\/k**(2\/5))**(-2\/67) assuming k is positive.\nAnswer: k**(-94\/6365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1170)\/2730)\/(1\/2)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98562 is divided by 377.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/7))\/(r**(-6)*r))\/(r\/r**0)**(21\/5) assuming r is positive.\nAnswer: r**(68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1436789 is divided by 1731?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from nnnnpnxnz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = -2*z, -11*l = 3*z - 6*l + 1. Let q(u) = 6*u**3 - 5*u**2 + 5*u - 5. Is q(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5*c + 1198. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b161 - a15?\nAnswer: -1bb76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -10 + 2 - 3168\/396\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*f + 4482 = -36*f - 63*f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3. Let z = 0.037 + -3.937. Let w = z - -4. What is the smallest value in 0, w, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 4*a**2 + 0*a**2)*(18 - 10 + 9) + a + 11*a**2 - a.\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 0*h + 2*h + h. Let s = -17 - -20. Let i(t) = -9*t + s*t + 3*t + 2*t. Calculate p(i(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000) + (sqrt(2000) - (sqrt(2000) + 0 - sqrt(2000))) + sqrt(2000) + 1 + sqrt(2000))**2 - sqrt(160)\/(2*sqrt(800)).\nAnswer: 1599*sqrt(5)\/10 + 32001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2399923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 40947.8 and -1?\nAnswer: 40948.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/75)\/(344\/516))\/(1*16\/(-40))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 93 = 3. Solve -4*c + g - 5 = -h, -5*c - 2*h = -17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 128\/28*(-282)\/(-24) - 18\/(-63). Solve -i*b = -12*b + 84 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 22*j + 15. Let o(f) = -64*f - 40. Let t(l) = 8*m(l) + 3*o(l). Let s(b) = -29*b**2. Determine s(t(v)).\nAnswer: -7424*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p - 15. Let i(q) = -q**2 - 5*q + 3. Let b be i(p). Suppose 0 = -4*k + 4*n + 44, b*n = -4*k + 5*n + 36. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*(s\/(s\/s**(-3\/10)))\/s*s)\/s**2)\/(s**(-6)*s*s**(1\/4)))**(-35) assuming s is positive.\nAnswer: s**(-623\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(66) - (sqrt(66) - sqrt(66)*-2)*-1 - -1*(sqrt(66) - (sqrt(66) + -2*sqrt(66) + sqrt(66))))\/(-2*2*sqrt(486)))**2.\nAnswer: 6755\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3574859.\nAnswer: 29, 131, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 80, 6, -104, -256, -456?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 2*w - 2. Let h be d(4). Let x(a) = a - h - 1 + 7. Let p(z) = -3*z**2. Calculate x(p(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 134 + 42 + 9*r**2 + r - 2*r - 146 in the form p*r**2 + m + n*r and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -438 + 437.9582. Round b to 3 dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*d = 3*b + 168*d + 21, b - 9 = 4*d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5)\/((-1296)\/116640).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 2. Let s be ((238\/(-10))\/(-7))\/((-2)\/(-10)). Let w = -14 + s. Give k(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/15*10*(-306)\/85.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.577 rounded to 1 decimal place?\nAnswer: 24.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 16, 36, 64?\n\"Answer: 4*s**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**3 - 4 + 4 + 4*t + 44 - 45 + 2*t**3 + t**2 - 26 + (6*t - 3*t - 2*t)*(1 - 1 - t**2).\nAnswer: -5*t**3 + t**2 + 4*t - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 50. Let w(o) = -2*o**2. Determine w(h(u)).\nAnswer: -8*u**4 + 400*u**2 - 5000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1014 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 18. Give v(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 5*q**2 - 4*q - 2. What is n(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140220036 and 33.\nAnswer: 140220036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1134243314 + -10?\nAnswer: 1134243304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*j**2 - 53*j**2 + 29*j**2)*(-5 + 1 + 3) in the form i*j + a*j**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**4 - m**2 - 1. Let k(q) = -78*q**4 + 6*q**2 - 79. Let c(w) = k(w) + 6*y(w). Find the first derivative of c(i) wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2032030 (base 4) to base 10.\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72622 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.048, 1, -4\/5 in decreasing order.\nAnswer: 1, -0.048, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**2 - 2*p - 1. Let u(l) = -11*l**2 + 3222*l - 2 + 3249*l - 6476*l. Give 7*g(x) - 4*u(x).\nAnswer: 2*x**2 + 6*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/16)\/7*104\/130?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, 4\/5, 18, 4, 54?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.212559 meters to micrometers.\nAnswer: 8212559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b - 6. Let c = -24 - -22. Let k be p(c). Solve -3*y + k*y = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1022*r + 998*r - 336 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 29*j + 1. Let p(b) = 101*b + 4. Let t(l) = 7*h(l) - 2*p(l). Let w(r) = -7*r + 22. Give -6*t(n) - w(n).\nAnswer: n - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -2\/5 (b) 0.2 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2607 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: Solve -4*h**5\/9 - 512*h**4\/9 - 332*h**3\/3 + 1544*h**2\/9 + 4048*h\/9 + 224 = 0 for h.\nAnswer: -126, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31232, -31233, -31234, -31235?\n\"Answer: -p - 31231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 = 1, 0 = 2*j - 2*u - 1852. Let o = -522 + j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 4*t - t. Suppose -t = -8*g + 7*g. Suppose 6*h = 2*h + g. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 389421.99ms?\nAnswer: 0.108172775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/15*385\/2618)\/((-6)\/54).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23283 and 1054404?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914 bigger than 152642\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {x: 2, l: 5, m: 1, z: 1, w: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 - 125. Let y(j) = -j**2. Give q(y(c)).\nAnswer: -2*c**4 - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2841 + -1642. What are the prime factors of o?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022002 - 21010002102?\nAnswer: -21021101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5219f (base 16) to base 14\nAnswer: -8a7a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1*3\/(-15)*6?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0 = -7. Let i(p) = p + 4. Let s be i(r). Put -1, s, 4 in decreasing order.\nAnswer: 4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -x + 111700, -7*x - 335094 = -10*x + b. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136 (base 13) to base 2.\nAnswer: 11010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13655 = 35*u + 2560. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21232 (base 5) in base 4?\nAnswer: 112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*u = 251 + 3525. Let f(o) = -o**2 - 3*o + 5. Let d be f(-5). Let r = 7 + d. Solve r*s + 14 = -4*v + 2*v, 5*v + 4*s = -u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15058 divided by 2?\nAnswer: -7529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:34 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44472)\/(-4578))\/(5\/35)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-88))\/(6\/(-4))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15651937*j**3 + 1699*j**2 - 195?\nAnswer: -93911622","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-198)*7938\/630*6\/(-7).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 945 and 9?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 73151515 to the power of 1\/2, to the nearest integer?\nAnswer: 8553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4455 - 11528?\nAnswer: -7073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56409056 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 57. Suppose -2*u - p = -5*u. Solve -3*i - u = -2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97871333?\nAnswer: 7, 13981619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -725536080 to the nearest 100000.\nAnswer: -725500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4347 and 670383.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 4 - 1)*(32*n**2 + 25481*n - 25481*n) to v*n**2 + c + m*n and give v.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 345\/92*12\/9*2\/(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10b9 (base 15) in base 14?\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/17 at most as big as 35389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 8*o - 19. Give u(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h - 424 = 2*f, f - 16*f = 5*h - 11*f + 135 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*(-299)\/((-419796)\/(-2160))\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-12)\/25)*(-27)\/((-29970)\/(-1036))*6\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 387 - 383. Is (o + 76)*2 - -4 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 479788 divided by -36\nAnswer: -119947\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -27*y**5\/20 - 5*y**4 - 2*y**3 - y + 1. Find d, given that x(d) = 0.\nAnswer: -2, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 take away 227695615.892?\nAnswer: -227695271.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 540\/55*3\/18\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 2*b. Let d(s) = -13*s**3 + 2*s**2 - 12*s - 6. Let j(l) = -6*c(l) - d(l). Let z be j(-2). Is z <= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 10 = -2*h. Factor 14*n**h - n**3 + 5*n**3 + 8*n - 26*n**2.\nAnswer: 4*n*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 2. Let f be j(0). Solve 3*g = -2*z + 19, -3*g - f*g + 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2172 * -266\nAnswer: 577752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*o**2 - 5 + o**3 - 4*o**4 + 792*o - 1421*o + 613*o + 2*o**4 to the form a*o**2 + n*o**3 + s + q*o**4 + p*o and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1208815 divided by 419?\nAnswer: -2885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 4. Let x(t) = -2*t + 4. Let w(v) = v - 3. Let q(u) = 4*w(u) + 3*x(u). What is the units digit of q(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (154\/1408)\/((-21)\/6).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: What is the value of ((-22)\/16)\/((-2854)\/(-114160))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296358663.\nAnswer: 3, 2777, 35573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 - 4 = -5*h, 3*z = 5*h - 4. Suppose 281 + 43 = 4*l - r, 0 = 5*l + z*r - 405. Suppose l = -b + 4*b. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 13*v**3 + v**2 + v - 1. Suppose 3*g - 2 = g. What are the prime factors of b(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/245*175 - 2226\/(-89)?\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, 1, -1390 in increasing order.\nAnswer: -1390, -76, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (30 - (35 - 10) - -7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 350330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 961*i**2 - 61*i + 272. Let a be v(5). Round a to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -12. Suppose -4*v + s + s + 76 = 0, -4*v + 82 = -5*s. Let i be ((-1)\/(-2))\/((-3)\/v). Put 1, d, i in descending order.\nAnswer: d, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 54415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2204211113 - 24?\nAnswer: -2204211142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 2. Solve 2 - 17 = c*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108098 + 108412 + 108418 - 324928 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, -100\/7, 0.13, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 858 and 2730?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -n + 17, 1207*a = 4*n + 1208*a - 88 - 55 - 30 for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 = 6*p - p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4\/7*l**3 - 4\/7*l + 0 - 4\/7*l**2 + 4\/7*l**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/20 - 66\/10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j + 4. Let w be q(-6). Let f = w + 22. What is the remainder when f is divided by (-2)\/(-9) + (-70)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d + 554 - 404 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 - -0.185. Let p = -0.055 + t. Which is the nearest to -1\/4? (a) p (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -10. Find the common denominator of ((-2)\/20)\/1*17 and (9\/y)\/(6\/(-176)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -4*o**3\/3 - 1. Let v(b) = -b + 20. Let a(l) = -2*l + 36. Let y(p) = 5*a(p) - 9*v(p). What is f(y(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 8*y**2 + y - 4. Let l be v(8). Factor 3*q**4 - 18*q**3 - 2*q**5 + 7*q**l + 0*q**4 + 14*q**2 - 4*q.\nAnswer: -2*q*(q - 2)*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 + 2*p - 71. Let d(n) = -8*n**2 + 3*n - 141. Let f(k) = -2*d(k) + 5*y(k). Let r be f(7). Put 47, r, -3, 1 in ascending order.\nAnswer: -3, 1, r, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2507395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5245711239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 35909*j**3 + 0*j**2 + 3101*j**3 - 217560*j**3.\nAnswer: -178550*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 121*f**4\/4 + 231*f - 515. Differentiate g(v) wrt v.\nAnswer: 363*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -16. Suppose -2*o - 799 = a*s, 0 = 5*o + s + s + 2025. Let i = 3641\/9 + o. Calculate the common denominator of i and -99\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5*j - 195, 14*r - 13*r + j = 183. What is the greatest common factor of r and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 15239392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/4 + 51*o**2\/4 + 45*o.\nAnswer: -3*o*(o - 20)*(o + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(300) + sqrt(300) + -2*sqrt(300)*2)*1)\/(-2*sqrt(484)*4*2).\nAnswer: 25*sqrt(3)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7051*w - 254 - 6380 = -6837*w for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 872 divide 2314288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -57. Let g be (-9 - (-430)\/50) + (-4)\/(-10). Which is the second smallest value? (a) g (b) -4 (c) 2\/3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3899*k + 2*l = -3869*k + 72, k = -5*l + 5 - 53 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51149*d**3*x**3 + 1543*d**2*x**3 - 3*d**2*x**2 - 10*d*x**2 wrt d?\nAnswer: -306894*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1538461174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 2f9?\nAnswer: 2fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 775, 1651, 2877, 4453, 6379?\nAnswer: 8655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -6) + -14 - -16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/4 + 21\/28. What is the hundreds digit of 28\/v*6\/16*-216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 5)*(-444 - 435 + 906 - 2*s**2 - 63*s**3) as o*s**2 + v*s + a*s**3 + c and give a.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-18) - 376\/(-4680). Let r = -19 + 19. Which is smaller: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, 1, 0.\nAnswer: -13, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 584*j**2 + 8*j + 3. Let b be d(-9). Let r = -14706745324\/311355 + 9973\/124542. Let p = r + b. Find the common denominator of 1\/10 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*z - 6 = 0, -5*x + 0*z + 3*z + 95 = 0. Let f = x + -14. Find the third derivative of -2 + 6*r**5 + 2*r**2 + f - 8*r**5 wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n*n)\/((n\/(n\/(n\/n**5)))\/n)*(n*n\/((n*n*n**1)\/n))\/((n\/((n\/n**(-2\/9))\/n*n))\/n) assuming n is positive.\nAnswer: n**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*r - 48*r + 11 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*n - 457 = -2407 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*i = -205*i + 39. Solve -5*o = h - 12, i*h - 6 = 8*h + 2*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135845 or 135846?\nAnswer: 135845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311018 - 460*w - 311018.\nAnswer: -460*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 82*c - 50*c - 33*c + 4. Let r(j) = -12*j + 54. Let t(w) = r(w) - 6*y(w). What is t(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*k - 10*k**3 - 22*k - 40*k - 38*k - 21*k.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*b = 95*b + 6. Let a be 9*(-2)\/((-2)\/(-3)). Let r = a + 39. Solve 5*o = -b - r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3516 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.9 + -1283156763.\nAnswer: -1283156772.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**6\/120 - k**5\/15 + k**4\/24 + 5*k**3\/6 + k**2. Suppose 2*r + j - 4 = 2, -4*j + 4 = 3*r. What is the units digit of b(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)*b**(-6))\/((b*b**5)\/(b\/((b*b**(-5))\/b*b)))*(b**(1\/9)\/b**(-4\/9))\/(b**(-4)\/(b\/(b*b**0\/b))) assuming b is positive.\nAnswer: b**(-43\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2\/2 - 9733*f\/2 + 4867 = 0.\nAnswer: -9734, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -49699*i - 4. Is f(-2) 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 -133\/30 and -149\/7110150?\nAnswer: 7110150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 106, 225, 382, 571, 786, 1021?\nAnswer: 1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**4 + 800*s**2 - 3136 = 0. Calculate s.\nAnswer: -14, -2, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/((-3)\/12). Let b(t) = 2*t + 0*t**2 - s*t - 2*t**2. Let l(r) = 4*r**2. Calculate b(l(f)).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03218*0.2.\nAnswer: -0.006436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11489047 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 0*t = -3*t - 1, -4 = -4*u - 4*t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttv when three letters picked without replacement from vtxxfxcffxvxvfvt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188880 and 192?\nAnswer: 755520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 greater than 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*b - 160 = 0, -2*o + 10*b + 313 = 11*b. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -178 + 274. Calculate the remainder when d is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 3:36 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.82 from 0.119025.\nAnswer: 0.939025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2420) + sqrt(2420)*2 - sqrt(2420))\/sqrt(10).\nAnswer: 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 931?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1\/4, 3, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(12) - (sqrt(768)*4 - sqrt(768) - sqrt(12))) + 2*sqrt(2299)*3)**2.\nAnswer: 40002619\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (4680\/26)\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i**3 + 2*i - 2*i + 27*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021025 rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 17317*b + 26066*b - 43383*b.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*c**4 - 72\/5*c + 0 + 12\/5*c**2 + 16\/5*c**3.\nAnswer: -4*c*(c - 3)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/(38\/(-12)) - (0 - 3). Let q be g\/(-18)*2*-1*15. Suppose 0 = 16*j - q*j - 61. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23147805?\nAnswer: 3, 5, 1543187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide (4 + 2)*(-43)\/(473\/(-17820))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 + (1 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -6986 and -6986 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1647\/10 - 4931\/30. Let v(r) be the third derivative of -3\/4*r**4 - j*r**3 + 0 - 11*r**2 + 0*r. Find the first derivative of v(h) wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) - (-4)\/14. Let k(d) = d + l*d + 0*d. Let y(c) be the second derivative of 2*c**3\/3 - 2*c. Calculate y(k(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5 = -2*b + w, -3*b = 2*w - 11. Suppose -5*m - b = 4*v - 1, 0 = -5*m - 10. Solve v*a - 2 = -12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + 0.1. Let w = f - 3. Let k be 18\/12 - 74\/44. What is the second biggest value in k, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Let t = 5 - 2. Suppose v*u + 20 = -t*u. Let m(q) = q**2 + 3*q - 5. Calculate m(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 912\/64 + -14 + (-9)\/(-12) + 1. Factor -8\/11*m**u + 8\/11 - 2\/11*m + 2\/11*m**3.\nAnswer: 2*(m - 4)*(m - 1)*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11 and 3067324167873?\nAnswer: 3067324167884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*o + 79*o - 1331 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -1.92, -2, -13?\nAnswer: -1.92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25426, 25492, 25598, 25744, 25930, 26156?\n\"Answer: 20*f**2 + 6*f + 25400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -14. Suppose c*t - 3143 = -5*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*q - 1. Suppose -2*p + 3*x = x - 2, 4*x = q*p. Find the first derivative of -2 + 6 - 9*o**4 + 5 - p wrt o.\nAnswer: -36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**4 + s**2 - s**2)*(-4 + 2 + 1) + (-4*s**4 - 5*s**4 + 3*s**4)*(-1 + 0 - 1) as u*s + h*s**4 + a*s**2 + x + k*s**3 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w**3 + 3*w**2 + 4*w + 2. Let f be b(-2). Let i = f - -56. What is the remainder when 8\/(((-5)\/i)\/(1\/2)) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039865326 to the power of 1\/3, to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -70, -1\/11, -5, -66?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 14*n + 71. Is 14 a factor of h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/44005 and 19\/140.\nAnswer: 1232140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6731, 53936, 182047, 431516, 842795?\n\"Answer: 6742*x**3 + x**2 + 8*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20618 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3440924?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576 = -6013*y + 12019*y - 6038*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 561546631?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 75*i**2 + 2568*i + 2640.\nAnswer: -3*(i - 20)*(i + 1)*(i + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*a - 44*a - 1 - 281*a - 4*a + 4*a - a + (5 - 1 - 3)*(3*a - 3*a - a) in the form f + c*a and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344048 is divided by 8001.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/66*582\/(-1940). Which is smaller: 23\/11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 x when four letters picked without replacement from {s: 9, x: 10}?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19*4\/(-26) - (192 - 124850\/650)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24749994950 rounded to the nearest one million?\nAnswer: 24750000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 295152 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1000 - -626. Find the common denominator of 17\/54 and (2\/(-24))\/(15\/r).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a2b - 70386?\nAnswer: -6e85a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 15344.\nAnswer: -5\/15344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0121056437 to four dps.\nAnswer: -0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/9 + 8342968*b**3\/9 + 8700639381128*b**2\/9.\nAnswer: 2*b**2*(b + 2085742)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, j: 5, p: 4, v: 1}. What is prob of sequence pp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -674 - -22917\/34. What is the second smallest value in p, -0.3, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -234405?\nAnswer: 4\/234405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 60486*110.6\nAnswer: 6689751.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2)*(4 + -2). Let b(w) = -15*w**2 - 9*w - 9. Let n(a) = 5*a + 45 - 16 - 24 + 8*a**2. Let d(u) = 6*b(u) + 11*n(u). Determine d(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 7*h**2 + 8*h - 1. Let l be c(-8). Let m be (-1)\/(2\/52)*l. Let j be (-4)\/(-8)*(-5 - -135). What is the highest common divisor of m and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/174521154 and 121\/12?\nAnswer: 349042308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17919 or -17914?\nAnswer: -17914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43275, 84876, 126463, 168030, 209571?\nAnswer: 251080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3097, 6299, 9501, 12703, 15905?\nAnswer: 19107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 207 or 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -6 + 1 - (104 - 105)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31514*b + 32664*b - 63366*b to the form a + d*b and give d.\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*j**2 + 0*j - 2*j**4 + 6*j**2 + 5*j + 97 - 95 - 17*j**2 in the form o*j**2 + z + u*j**3 + q*j + r*j**4 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l - 6. Let j = 98 - 57. Suppose -5*u - j = -141. What is the least common multiple of u and p(-11)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/4*(-5)\/(260\/13)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a millennium?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4517 - 975 = 2*r. Let h = r - -186. Suppose -13*m + h = -201. What are the prime factors of m?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2000 (base 3) to base 4\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/((-28)\/(-14) + 1*-3). Solve 14 = -d + i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, a: 4, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26.8 - -27.1. Sort b, -15, 1\/5 in descending order.\nAnswer: b, 1\/5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 3:33 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285702 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-3) - 3*3*5\/(-45). What is the third biggest value in r, -13\/4, -1.3, 1, 2\/13?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.8 and 0.65.\nAnswer: 2.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/2*o**2 + 0 + 33*o - 1\/6*o**3.\nAnswer: -o*(o - 3)*(o + 66)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/25 + ((-124)\/775)\/(2\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915 divided by -4?\nAnswer: -915\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 20, -0.4, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 + -1.94. Let p = 19.48 + -19. Let q = p - 0.48. Sort k, q, -4 in decreasing order.\nAnswer: q, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 1088?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -5201738?\nAnswer: -5201737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 903\/20 + -191\/4. Let o = -21\/10 - f. Suppose 5\/2*v + o + 2*v**2 = 0. What is v?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3348554144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 + -2.3035. What is h rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(3 + -75)*-3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(209) - sqrt(209)) + sqrt(209) - sqrt(209))*-2*-3)\/(6*sqrt(55)\/sqrt(5)*5))**2.\nAnswer: 171\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3221 - -5675. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -21319*c + 3777. Is 40 a factor of b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/140, 3, 2, 11.1998 in ascending order.\nAnswer: 1\/140, 2, 3, 11.1998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 77. Let x be (1 - 2) + 3 + 1. Let j be (3 - 0)*1\/3. Solve -y = -w - j, x*w + 2*w + d = y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -16*k + 2. Let x(z) be the first derivative of z**2\/2 - 584. Calculate -c(h) - x(h).\nAnswer: 15*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 + 271.5\nAnswer: 271.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 66*j**2 + j. Suppose -4*k = -3*v + 8, 5*k = -v + 4*v - 7. Let g be i(k). What is g rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 278 and 101887?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*s - 5*r + 21, -2*s - 3 = -3*r. Let o(n) = -n + n + 3*n - 9. What is o(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187721073.\nAnswer: 3, 181, 115237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -1 - -2) + 3. Suppose -s + 2 = -i. Suppose 4*y - 365 = 5*g, -g + 20 = -s*g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - n. Let u(a) = 34*a**2 + 8*a. Determine -40*d(c) - 5*u(c).\nAnswer: -130*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -218, -5, 5, -4.\nAnswer: -218, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10384, 20767, 31150, 41533?\nAnswer: 51916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 792, 791, 790?\n\"Answer: -t + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(((-52)\/130)\/((-16)\/54)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 4*p**2 + 5*p - 1. Let w be j(-5). What is the remainder when ((-52)\/(-8))\/(27\/108) is divided by w\/(-2 - 34\/(-18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 629415.1 hours?\nAnswer: 37764906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, p: 3, f: 1}. Give prob of picking 2 p and 1 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(363)) - (sqrt(363) - sqrt(363)*-2)**2*-5)*-2.\nAnswer: -32670 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 12372*b + 6183*b - 17*b**2 + 6186*b to the form o*b + c*b**3 + v*b**2 + d and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (3 + -3)) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 44\/5 of a millennium?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 d when three letters picked without replacement from {d: 2, b: 2, h: 4, f: 1, z: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 + 5*g. Let t(o) = -13*o**2 - 16*o. Calculate -2*t(c) - 7*y(c).\nAnswer: -2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -2*j, -3*j + 4 = 4*m. Let w be (-1)\/m + 9\/6. Solve -a - w = -0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.449 in -4, -0.41, -5, 0?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 + 4176?\nAnswer: 4160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 439 = -257. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/24 and 6\/((-72)\/(-134)) + 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(7) - (-2 + sqrt(21)\/sqrt(3))) + sqrt(7)*2*-2)**2.\nAnswer: -16*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 423*y**3 + 12*y**2 - 2805*y wrt y?\nAnswer: 2538*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -6949.\nAnswer: 55592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*y + 975 = -340*y - 1062 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-9)*6*1\/(-2). Sort 11, 3, v in ascending order.\nAnswer: 3, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242650 is divided by 120208.\nAnswer: 2234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 1. Let y = 142 - 93. Let g = 48.8 - y. Which is the nearest to j? (a) g (b) 1\/4 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/19 + (-4)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssxaaaaaxasaxxxs. What is prob of sequence sss?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j + 10*j**2 + 2632 + 2627 - 7931 + 3*j + 2631 to the form s*j**2 + p*j + q and give q.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1462 and 20167.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + 17*d**2 + 7*d + 15. Let r be t(9). Sort r, 2, -1, 6 in decreasing order.\nAnswer: 6, 2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 - 13*x - 11. Give z(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 874833210 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -5 + 1 - -13 - (8 + -7 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 36 = -d, 2*g + 5*d = 6*d + 25. Let w(s) = s**3 - 12*s**2 + 10*s + 13. Let t be w(g). Factor -2\/9*v**t - 4\/9*v - 2\/9.\nAnswer: -2*(v + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -43. Suppose 3*b + 75 = 282. Suppose 2*k - f = 37, 4*f - 3*f + b = 4*k. What is the remainder when r is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h**2 + 29*h**2 - 56*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**4\/24 - 2*f**3\/3 + 2*f**2. Let m(i) = -i - 3. Determine -4*m(z) + 3*u(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -13.993065 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6567471.6296 + -135\nAnswer: 6567336.6296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 26*c + 32 = 21*c, -5*c = -p + 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 560, 611, 674, 755, 860, 995, 1166, 1379?\nAnswer: 1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 2*q**2 + 3*q + 3. Let y be a(-3). Suppose 47*i = 42*i - 15. Put -1, y, i, 0 in decreasing order.\nAnswer: y, 0, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/3*(-8)\/32\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 88 = 15*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 - 73. Let n = 17 + q. Solve -2*j + 7*j - r - n = 0, 5*j + r - 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*o + 2)*(5*o**4 - 2*o**4 - o**4) - 3*o**5 + o**5 + o**5 + (-o**3 - 2*o**3 + 5*o**3)*(-66*o**2 + 64*o**2 + 162*o**2).\nAnswer: 315*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 673879643*q**5 - 802549610*q.\nAnswer: 13477592860*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 4*j - j - 2*j**4 + j to r*j**3 + s*j + l*j**2 + n*j**4 + w and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 20*m**2 + 32*m - 232. Let k be a(21). Let p(w) = w**2 + w. Let r(y) = 2*y**3 + 6*y**2 + y. Calculate k*r(f) + p(f).\nAnswer: -2*f**3 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*v + 312, -2*m + 158 = -v - 459. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2)\/s)*s*s*(s*s**(-2))\/s)\/(s**(2\/9)\/((s*s*s*s**(-1\/8))\/s*s*s)) assuming s is positive.\nAnswer: s**(551\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 11 = -s - 8, 0 = s + j - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 3, -0.05425935 in decreasing order.\nAnswer: 3, 1\/4, -0.05425935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -124532*r**5 - 9*r**4 + 591283*r**2 - 6?\nAnswer: -7471920*r**2 - 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 842 divide 267401095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.991983 times -0.4?\nAnswer: -0.3967932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(((-6)\/7)\/((-160)\/1400))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 8*q + 6. Let h(f) = f**2 + 9*f + 6. Give -5*h(d) + 4*u(d).\nAnswer: -d**2 - 13*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-355)\/45 + 4 - -4.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 5*k - 5*k + (-2 + 2 + 2)*(-5*k - 2*k + 0*k).\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (12 - 26 - -11) - 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 426*f**2 - 22868*f + 370. What is b(-363)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 r when three letters picked without replacement from krivivvkkvrkkkkkv?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(918\/30)*(-2)\/(-5)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26316 times -24?\nAnswer: -631584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (78\/24 + -3)\/((-2)\/(-16)). Let g(z) = 5*z + 0*z - 8*z + b. What is g(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*v = 11*v - 1542 + 1354 - 2306 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -19*w - 18. Let x(v) be the second derivative of 0 - 9\/2*v**2 - 5\/3*v**3 - 8*v. Let q(p) = -3*i(p) + 5*x(p). Differentiate q(m) wrt m.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*r**2 - 1017*r**2 + 202*r**2.\nAnswer: -902*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22211 (base 3) in base 7?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = -13. Let u(k) = -k**2 - 28*k - 93. Let r be u(-12). What is the greatest common factor of v and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**3\/3 + 23*l**2\/2 - 41*l + 11. What is the remainder when 3 is divided by n(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6) - (3\/(-168))\/((-72)\/1632).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 378, 397, 426, 471, 538?\n\"Answer: h**3 - h**2 + 15*h + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/10)*((y\/((y*y**(-2\/19)*y)\/y))\/y)\/y*y*y**(1\/2)*y\/((y\/(y\/((y\/(y\/((y\/y**1)\/y*y)))\/y)))\/y) assuming y is positive.\nAnswer: y**(219\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-54) + (-7)\/(-9). Let t be -1 + k + (-7350)\/(-5). Let o be 30\/(-2 - (-2949)\/t). What is o rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n - 332. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100100110001 (base 2) to base 10\nAnswer: 10545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -33*z + 56. Let a(w) = 4*w - 7. Let l(x) = -51*a(x) - 6*c(x). Let h(b) = b - 4. What is -21*h(k) - 4*l(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -69*y**3 + 31*y**2 + 7*y. Let a(j) = 69*j**3 - 30*j**2 - 6*j. Let t(k) = -7*a(k) - 6*o(k). Find the third derivative of t(u) wrt u.\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 8:53 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 1 + b + 0. Let t(f) = 1532*f - 36. Let u(v) = 614*v - 15. Let n(w) = 2*t(w) - 5*u(w). What is n(o) + 2*x(o)?\nAnswer: -8*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, -48, -133, -232, -333?\n\"Answer: 2*s**3 - 25*s**2 + 2*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 103, -491, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13027056745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24213 and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -4397.513 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-96) - -1*(-70)\/(-8). What is the third derivative of x*g**3 - 6*g**3 + 14*g**3 - g**2 wrt g?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 12:35 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8391673 - -36.96.\nAnswer: 8391709.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47314*k**2\/7 - 26*k\/7.\nAnswer: -2*k*(23657*k + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18068*i**2 + 35444*i**2 + 34301*i**2.\nAnswer: 51677*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 a, and 1 d when four letters picked without replacement from aagggagaggdzcgccgagg?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 + 105. Let g(t) be the third derivative of 0 + 2\/15*t**3 - 1\/30*t**k + t**2 + 0*t + 1\/300*t**5. Suppose g(h) = 0. Calculate h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128.9999449 - -129. What is f rounded to 6 decimal places?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/6 (b) 63 (c) 0 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - (49 - 47)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n - 1. Let f = 3.7 + 0.3. Let g = -3.7 + f. Sort 0.2, n, g.\nAnswer: n, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -490 - -896. List the prime factors of m.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -3)*-6 + sqrt(171))**2 - 1*sqrt(171)*2.\nAnswer: -546*sqrt(19) + 4599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**4 + 32*r**3\/3 + 26*r**2 + 24*r + 44. Factor b(g).\nAnswer: 4*(g + 1)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 49 = -2*t, 2*t - 14 = -c - c. Calculate the remainder when 1*53*(-25 - (-39 - -13)) is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 2, m: 2, t: 1, o: 1, s: 2}. Give prob of picking 1 o and 1 s.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 + 1) - -14 - (-18 + (-39 - -10))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 53. Suppose 4*b + b = 2*t - 751, 3*t - s*b - 1109 = 0. Suppose -5*x + t = -522. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, h: 2}. What is prob of sequence uhhu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -88 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58039.84 years to centuries.\nAnswer: 580.3984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 66*k - 27)*(0 - 1 + 0)*(0 - 4 + 6).\nAnswer: 132*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 12:32 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 4*h + 6. Let x be d(5). Let v be x + -3*(-3)\/(-12). What is the smallest value in -2, -1, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 48?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 12. Let u(y) = -y**3 - y**2 + 9*y + 3. Let o be u(-3). Let i = o - j. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093786?\nAnswer: 2, 546893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -39420, -62, -4 in decreasing order.\nAnswer: -4, -62, -39420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0*j**5 + 0*j**6 + 1\/6*j**3 + 0*j**4 + 0 + 2*j**2 + 0*j - 1\/70*j**7. Find the first derivative of q(h) wrt h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.663790754 rounded to 3 decimal places?\nAnswer: -0.664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/70)\/(1\/(-5)). Let d be (-30459)\/22*(-4)\/66. Let x = d + -84. Sort x, -3, a in ascending order.\nAnswer: -3, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238 is divided by 92?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**2 - 263781984*x - 4348808442686016 = 0. Calculate x.\nAnswer: -32972748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Which is the third biggest value? (a) x (b) -3 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 645.7429cm to micrometers.\nAnswer: 6457429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 308 = 5*o, 0 = -o - 2*z + 36 + 22. Suppose 5 = 2*m - 7. Let p = 14 - m. Calculate the highest common divisor of p and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**8\/784 - w**7\/245 - 19*w**6\/280 - w**5\/5 - 3*w**4\/14 - 2*w**2 - 1. Solve i(j) = 0 for j.\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*x = -o + 1124, 3*x - 898 = -4*o. What is the tens digit of o\/12 - (-5)\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -125 in 1\/9, 1.235, 1\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 - 61. Find the third derivative of -14*h**2 - 16*h**6 - m*h**6 + 22*h**6 wrt h.\nAnswer: -4920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92*k**2*m**3*t - 2*k**2*m**3 + k**2*m*t + 10*k**2*m + t wrt t.\nAnswer: -92*k**2*m**3 + k**2*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21740, 21737, 21734, 21731?\nAnswer: 21728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -366.35 - -366.35085495. What is f rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 - 33*n + 10. Let u be k(-12). Let z = u + 28. Sort z, -1, 1, 0.\nAnswer: -1, 0, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 382137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 2*z - 1. Suppose -4*h + 12 = 5*q, -h - q + 3 = 4*q. Let n(k) = k + 8. Let d be n(-9). Let i = h + d. Give x(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310403747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-9)*1863\/4761\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4363 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - 2)*(64\/(-56))\/8?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 157, 0.3, -3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-2)*1 - (-3 - 577). Let f = 611 - g. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -18. Let f(h) be the first derivative of 3*h**2\/2 + 13*h - 218. Let c(w) = w + 2. Let a(v) = 2*c(v) - f(v). Calculate a(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726904 bigger than 726481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 66848 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -8*n - 5. Let k = 1439 - 1452. Let u(j) = 15*j + 11. Calculate k*i(w) - 6*u(w).\nAnswer: 14*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 27. Suppose -y - 46 = -f*r, -2*r - 4*y + 27 + 13 = 0. Calculate the remainder when r is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1615.\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 267207454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from aakamiaknka?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**3*t*y**2 + 64*a**3*t*y + a**3*t + 11257*a**3*y - a**2*t**2*y - 3*a*t**2*y + 56082*t**2*y**2 wrt y.\nAnswer: -6*a**3*t + 112164*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38259659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -378.24 - 0.76. Let k = -379.0000163 - m. Round k to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134b (base 12) to base 11.\nAnswer: -1738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38448 by 144.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54653 - 28485. What are the prime factors of i?\nAnswer: 2, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 199*b - 26056. Calculate x(130).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/78*8007\/13345\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = x - 0*x. Let m(z) = 4*z. Let a(u) be the first derivative of -u**2 - 175. Calculate x*a(t) - 3*m(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313643359?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9132 + 9110. Sort -4, s, 21, 5 in descending order.\nAnswer: 21, 5, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, -4, 8909802 in increasing order.\nAnswer: -4, 4, 6, 8909802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 6 = -2*r - 2*l, 6 = 2*r - 4*l. List the prime factors of -5 - -9 - r*-1 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 122965.2mm?\nAnswer: 122965200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/2 - 789*w**3\/2 - 4686*w**2 - 18680*w - 24864.\nAnswer: -(w + 4)**3*(w + 777)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -88 - 164. Suppose -5*x + 12 = -4*x. What is the highest common divisor of x and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 42)*(-2)\/6. Let d be 1\/f*(-42)\/28. Let g be (-78)\/(-120) - (-2)\/(-8). What is the smallest value in d, -0.6, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5981 - -5971.661. Let h = 9.75 + i. Let s = h + -0.4. Round s to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*x**4\/9 + 3188*x**3\/9 - 80560*x**2\/3 + 6076352*x\/9 + 1755904\/9.\nAnswer: -2*(x - 76)**3*(7*x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1. Suppose w = s, 4*w - 5*s = -0*w. Put w, -5, i in decreasing order.\nAnswer: w, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 614, -2, 1, 4, 2 in ascending order.\nAnswer: -2, 1, 2, 4, 614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-234 + 10*f + 229 - 2*f)*(-4 - 2 - 1).\nAnswer: -56*f + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.29? (a) -2\/9 (b) 262 (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/1)\/((-2)\/5). Let u(h) be the first derivative of -h**4\/24 - 2*h**2 + 4. Let i(z) be the second derivative of u(z). Determine i(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 + 25*o**2 - 85*o - 10. Give s(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l - 4. Let c be g(-4). Let z(q) = 5 - 2*q**3 - 4 + 3*q**3. Let s(i) = -5*i**3 - 5*i**2 + 4*i - 7. Let u(w) = s(w) + 6*z(w). Determine u(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 16, 4, 0, -6 in ascending order.\nAnswer: -6, -5, 0, 1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 + (31 - 19) + 42?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -735 (base 14) to base 10\nAnswer: -1419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*q - 2*q - 22*q - 1)*(2*q**3 + q - q).\nAnswer: -132*q**4 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 91032*a - 1274634. Calculate v(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -29*x. Let j(l) = -l + 59. Give r(j(b)).\nAnswer: 29*b - 1711","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18194383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100011011101000011111011 - -100?\nAnswer: -10100011011101000011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (-874)\/6*-3 - -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10199 + 10198.98819. Round a to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2560 is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 2577\/306 + 27 + -38 + (-64)\/(-6)?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4400 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen quarters of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469881 - 80307 - 31410 = -18*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 7:13 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -539\/3 (b) 1 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Suppose -8 = -5*u - a. Suppose 27*w - 23*w = 2*f + 8, -5*w = -3*f - 9. What is the remainder when w is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.94 - 0.06. Let a = 2066 + -2071. What is the closest to -1 in a, 0, -4, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1835)\/(-15))\/(4 - (-44)\/(-12)).\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*b**2 - 1594*b**3 - 1296*b**3 + 87*b**2.\nAnswer: -2890*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhhhxhahbfbhf. Give prob of picking 2 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32919 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 + 70*l - 761*l + 688*l + 5*l**2 + 5*l**2.\nAnswer: 15*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -24*p**2. Let i(q) = -7*q. Give m(i(z)).\nAnswer: -1176*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -3. Let y = -21 + 15. Let d = o - y. Is 4 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -22, -61, -134, -253?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/16, 5\/4, 3 in ascending order.\nAnswer: -3\/16, 5\/4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 673539835 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 g(f) = f. Let n be g(-2). Let p be 0 - 2 - 10\/(60\/18). Put -1, p, n in increasing order.\nAnswer: p, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62\/279*(-3)\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oazaoal?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 1)*(0*c - c + 3*c) + c - 14*c - 11*c)*((1 - 4 + 1)*(2 - 3 - 1) - 5 + 6 + 0).\nAnswer: -150*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2389498306.\nAnswer: 2, 13, 79, 1163339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 35c0 (base 15) to base 7\nAnswer: 45216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3)\/p*(p**(-5\/3)\/p)\/p)\/((p\/(p**(-2\/13)\/p))\/((p*p*p\/p**(2\/13))\/p)))\/((p**(-5)*(p\/p**(1\/3))\/p*p)\/((p**4\/p)\/(p**6\/p))) assuming p is positive.\nAnswer: p**(-220\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8593.\nAnswer: 13, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65*((-891)\/(-495))\/(54\/30).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*x - u - u, 4*u + 14 = -2*x. Let a(h) = -54*h - 295. Let d be a(-7). What is the highest common factor of d and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(-1*(-114)\/(-12)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -19*k**3 - 11*k. Let v(x) = -6*x**3 - 4*x. Calculate 3*l(j) - 8*v(j).\nAnswer: -9*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*t - 96 + 10, 0 = -2*f + 8. Let j = t - 18. Solve 0*q - 20 = j*q + 3*p, 4*q + 12 = -p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k - 28. What is the tens digit of f(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -1, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 440958 - 440958 - 294*d in the form j*d + q and give j.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 103344533 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: Which is greater: 0 or 8\/110549?\nAnswer: 8\/110549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3080052 and 3572.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from auffgfuuuuauaugafug.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**6\/3 + 24*u**3 - 47. Find the third derivative of t(l) wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + 3. Let y(u) = -3*u - 38. Let r(n) = 11*n + 152. Let a(j) = -2*r(j) - 9*y(j). Calculate the lowest common multiple of a(-6) and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p + 2. Let t be d(-3). Suppose 0 = -t*g + 19*g - 32. Is 3\/(-2)*g*2 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143959630 divided by -1?\nAnswer: -143959630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1817?\nAnswer: -5\/1817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 5*z + 3. Let v be g(-6). Suppose -v*p = -4*p - 285. Calculate the remainder when p is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 8:57 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*u - k - 2*k, 7 = -u - k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 h when three letters picked without replacement from phulurjphlhhphu?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 721 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 230*y - 502*y - 8 + 120*y.\nAnswer: -152*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 38*i - 17. Let o be w(36). Suppose 3*x = 41 + o. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9048.773411571 - 0.060711571. Let v = p - 9048. Round v to 2 decimal places.\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 5*s**2 + 45*s + 248. Let w = 71 + -11. What is the remainder when w is divided by x(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1804, -14548, -49148, -116536, -227644?\nAnswer: -393404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 370a0 (base 13) to base 6.\nAnswer: 2100252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -209*j + 4. Let f(m) = 217*m - 6. Let a(o) = -2*f(o) - 3*q(o). Let v(x) = -x. Determine a(v(c)).\nAnswer: -193*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 31. Calculate the least common multiple of (120\/4)\/((-12)\/y) and 42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-264) + (-8 - 1346\/(-176))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + 2*l**2 - 2*l**2 + (4*l**2 - 3*l**2 - 3*l**2)*(-3 + 3 - 2*l) + (-9*l**2 - 3*l**2 - 10*l**2)*(-2*l - l + 4*l).\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5791 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -826.2 * -260.\nAnswer: 214812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 400318867 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 4. Let g be u(-3). Differentiate 2 - 3 + 6*q**3 + 3 + g with respect to q.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 112 = 5*f, -773*f = 3*b - 771*f - 37 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018451.\nAnswer: 7, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -8. Let a(m) = -m**2 + 1. Let x(d) = 2*d**2 + 7*d - 5. Let u(s) = n*x(s) - 3*a(s). Let h be u(7). Put h, -1, 4 in ascending order.\nAnswer: -1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/((9 - 1)\/4). Suppose -4*s + s = -5*x + 416, -70 = -x + 5*s. What is the greatest common divisor of y and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7 + 3 = 0. Suppose -5 = 5*z, 0 = 5*o + 3*z - l + 4. Suppose -4*p = r - 32, 20 = 4*p + 5*r - 12. Solve 2*s + 5*q + p = o, -3*q = -2*s - 4*q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 744 and 496?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -4*z - 776. Let p = 15 + z. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 636 and 795?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 20*i. Let c(p) be the first derivative of 7*p**3 + p - 15526. What is b(c(w))?\nAnswer: 441*w**4 + 462*w**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2496 and 191\/1560.\nAnswer: 12480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 1:32 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -17*j + 1. Let g be h(-2). Suppose -s = 4*s - g. Let i(y) = 0*y + 0 + y - 9. Determine i(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (2 - -2))*(-13 - -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*i + 29 = -106*i + 194*i + 2*k, 0 = 4*i - 0*k - 6*k + 32 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8 = 6*d. Sort d, 1, 3 in ascending order.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + w + 5*l - 19 = 0, 5*l - 25 = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**8\/420 - i**7\/105 + i**6\/90 + i**5\/15 + 10*i**3 - 78*i**2. Let h(d) be the first derivative of o(d). Factor h(v).\nAnswer: -4*v*(v - 1)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -49*s. Let u(i) = -85*i. Determine j(u(z)).\nAnswer: 4165*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.15 <= 12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c. Let g be l(-3). Let s = 22 + g. Let k = s + -6. Solve 13 = -a + 5*o, -k*a - 2*o + 1 = 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0*f + 0 + 0*f**3 + 24*f**2 - 1\/12*f**4. Let n(c) = -15*c. Determine o(n(h)).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*y + 2*y - 4*a - 36, 8 = 2*y - 4*a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1100 and 252800?\nAnswer: 2780800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 270407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -0.2 (c) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 5 (c) 58 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 6114?\nAnswer: 3057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2326542.\nAnswer: 2, 3, 23, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25\/8 in -1\/6, -41\/20, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146 + -86. What is the greatest common factor of 100 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(1\/4)\/d)*d)**32)**(7\/8) assuming d is positive.\nAnswer: d**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 154, 454, -1 in decreasing order.\nAnswer: 454, 154, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**6\/72 + 7*g**5\/9 + 155*g**4\/72 - 145*g**3\/9 - 22*g**2 - 1. Determine b, given that o(b) = 0.\nAnswer: -2, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -9907?\nAnswer: -9904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 - 4*m + 5. What is f(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 19 = -3*v, -b - 1 = v - 0. Suppose -b*z = -4*m - 32, -4*z - 3*m = -0*m + 3. What is the tens digit of -4*(z + 95\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13678, -14919, -16162, -17407, -18654, -19903?\n\"Answer: -s**2 - 1238*s - 12439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 3654.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*h - 3*h - 6, 3*h + 13 = -5*p. Let l be (-108)\/(-14) - (-4)\/14. Let j be 230\/h + 4\/l. What is j rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4 + sqrt(11))*-4)**2.\nAnswer: -104*sqrt(11) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 442497 and 9063.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2587*t. Let b(z) = -330*z**2 + 6*z. Give b(n(c)).\nAnswer: -2208547770*c**2 - 15522*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -5. Suppose -29 = -2*v + 3*o - 6*o, 5*o = 4*v - 3. Suppose -1 = i - v. What is the greatest common factor of b and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1973303 and -101865.\nAnswer: 1871438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 3*c + 57, -2*j - c = -44. Calculate the lowest common multiple of 5 and j.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 27 = 3*o, 68*o + 7*h = 67*o + 41 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + f - 2 + (6 - 2 - 2)*(-5*f - 7*f + 7*f) + 4 - 4 - f + (-2 + 4 - 3)*(f - 1 + 1).\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-15) + 0)*5. Find the second derivative of -t - t**3 + 2*t**g + 6*t wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 6*k + 8. What is i(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47723\/12 + -3969. Find the common denominator of 49\/30 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -409.33 + 406.8787. Round a to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.76 + -0.66. What is the nearest to c in -5, 1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149853*s**3 - 4*s + 25432 wrt s.\nAnswer: -899118*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1.97, -0.001?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 2)*(2*d - 4 + 4) - 4*d - 2*d - 2*d + (-5*d + 4*d + 2*d)*(3 - 5 + 3).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 152849 (b) 1 (c) -0.5 (d) -0.06 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**3\/5 + 48270043*m**2 + 14562481449461448*m\/5 - 14562481690811664\/5 = 0.\nAnswer: -120675108, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 16, 20, 58, 148, 308, 556, 910?\nAnswer: 1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**3\/3 + 725*d**2\/3 + 490*d = 0.\nAnswer: -2, 0, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 34 = 2*r. Suppose b + 1 = 3*f + 2, -b - 5*f + r = 0. Let u(y) = -7 + b - y**2. Let x(n) = n. What is x(u(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827215 to the power of 1\/2, to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) -15\/19 (c) -1\/6 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -204*j**2 - 2*j - 193. Let t(u) = -199*u**2 - u - 194. Let i(k) = 3*f(k) - 4*t(k). What is the first derivative of i(z) wrt z?\nAnswer: 368*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1624\/1421*14\/(-12)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -46952, -47929, -48906, -49883, -50860, -51837?\n\"Answer: -977*d - 45975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-3*-1*(sqrt(117) + sqrt(117) + (sqrt(117) - -2*sqrt(117)) + sqrt(117) + sqrt(117)))\/((sqrt(441)*-1 - sqrt(441))*2))**2.\nAnswer: 69\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0219 + -0.4781. Sort 2\/39, -3, b, 18 in descending order.\nAnswer: 18, 2\/39, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {j: 1, x: 11, n: 1, d: 2}?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498535 >= 1498531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 28*u + 81. Let i be p(5). Let b = 267 - i. Solve b - 40 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4080)\/119)\/10)\/((-3)\/14).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**3\/3 + 15*o. Let m(d) be the third derivative of 0*d + 0*d**3 + 4*d**2 + 1\/24*d**4 + 0. Calculate m(c(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2) + (-66)\/(-44). Let y(r) = -r**2 - 52*r - 75. Let a be y(-22). Suppose -u*t + a = 147. Does 35 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + -5 + -1*(sqrt(228)\/(3*sqrt(12)))**2 + ((2*sqrt(76))\/sqrt(4)*4)**2.\nAnswer: 10934\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 1643*a - 30899. Calculate j(-19).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19691?\nAnswer: 7, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (8\/1)\/2. Let x = -27 - -23. Let q be 2*(x - -2) - -2. Is j greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + (1 + 5)\/(14 - 8). Solve 2*f - 4*u + 22 = 0, -5*u + 2*u = 4*f + v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/9)\/(2*(-28)\/36).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -75 (b) 3\/10 (c) 7\/3 (d) -1.1 (e) -13 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -33*s + 3. Let p(i) = -4*i**2 + 9*i**2 - 3 - i**3 + 10*i**2 - 8*i - 6*i**2. Let y be p(8). Let r be g(y). Round r to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6460362, -6460369, -6460378, -6460389, -6460402?\nAnswer: -6460417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: -2974321 (base 10) to base 8\nAnswer: -13261161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 7560 = 10*c. Calculate the greatest common divisor of c and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(406\/87).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -38*n**2 - n - 1. Let w be a(-1). Let g be (-19)\/w*9*2. Suppose -13*s + g*s + 1636 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37869730 and 1819070.\nAnswer: 416567030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:08 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -4 + 9 + -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 0 - (1 + -1). Let c be (t + 0)\/(3\/(-177)). Let y = c + 102. What is the remainder when y is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20858724 + 3566828410\/171. Let f = 652\/57 + d. Let j = -67 - f. Is j less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*m + 12 = -75*m. What is the highest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 - 131?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 843350 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022112101011 + 1?\nAnswer: -1022112101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3188*d = 9160*d + 105467 + 19596 + 349 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11707.\nAnswer: 23, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*d + 2*d + 2 = 0, i + 2*d = 4. Solve i = -3*g + 2*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 2:23 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8440640 by -13.\nAnswer: -649280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvvvgknngvguggv. Give prob of sequence gggu.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4068*u**2 + u + 8. Let i be j(4). Suppose 6*o = -o - i. Round o to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12221002 + 1020022212?\nAnswer: 1000101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 6:59 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5152906 by 24079.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -3\/4*i**4 + 3 + 0*i**3 + 0*i + 3\/2*i**2. Find the second derivative of d(z) wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3556 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2. Let c(g) be the first derivative of -2*g**2 + 1. Give c(d(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 28*z + 422. Give r(-16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1238\/18 - 14\/(-63). Let n = -34471 + 34471. Put p, n, -2 in ascending order.\nAnswer: -2, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -22*d**3\/3 + d**2 - 2*d - 4. Let z(s) be the first derivative of r(s). Calculate the remainder when z(-1) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 9:20 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 - 5 - 2*-15 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 7*z**2 + 7*z - 7. Let h be g(8). Find the common denominator of 2\/5 + (-1186)\/(-60) and 2\/(-5) - h\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003232398244 rounded to seven decimal places?\nAnswer: -0.0003232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 6*u + 2. Let i be c(-2). Let n be (-4 - i - 8)*-1. Let s(h) = -h**2 + 6*h + 3. Give s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*x + 10546 = 13678 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 64, 68, 72?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 5\/15*0 - -32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**2 + 82. Let m(y) be the first derivative of 0*y - 1\/3*y**3 + 12 - 2*y**2. Calculate m(h(q)).\nAnswer: -4*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 642*l + 660 = 0, -4*l - 20 - 37 = 4*u - 9*l + 20 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, i: 7, c: 3, w: 2}. Give prob of sequence wd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g - 61. Let u(p) = 201*p - 69*p - 71*p - 62*p. What is u(m(f))?\nAnswer: -3*f + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 488.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12839 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1475318537 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25809)\/(-14)*(-132)\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 672 - 675. Let u be 245\/(-110) - 1\/2. Let a = u - -292\/99. What is the second smallest value in a, -1, p, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2 + 4 - 2 + 0 + (-1 - 6 + 5)*(5 + 2 - 3))*(f + 352*f**2 - 168*f**2 + 148*f**2) to g*f**2 + b + d*f and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*y - 5*y + 2 = 0, y = 3. Let c be 4 - (1 + (-12)\/(-3)) - 0. Let x be ((-69)\/46)\/((-6)\/c). Sort 4\/3, x, r, 0.\nAnswer: x, 0, r, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -165 + 13. Let t = o + 140. Let i(r) = -16*r - 10. What is the remainder when t is divided by i(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163 - 485\/3. Let c = -7\/9 + 1\/9. Let y = c + j. What is the smallest value in y, 2\/5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/70)\/(200\/525)*(-10)\/(-16).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83634?\nAnswer: 2, 3, 53, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 809672573 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1*2*(-9)\/18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(3\/5))**(-4\/31)\/((w*w*(w**(-3\/5)\/w)\/w)\/(w*w*w*w**(-12)*w)) assuming w is positive.\nAnswer: w**(-235\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*k - 70, -3*k + 19 = 4*n - 37. Let c be (-2)\/(-7) - -229*(-8)\/(-56). Let p = c - k. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5*((-855)\/18)\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-9))\/((-9)\/(-81)). Suppose -4*o = b*l - 42, -5*o - l = -3*l - 75. Calculate the highest common divisor of 104 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -4\/3 (b) -1.3 (c) -0.5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155 + -111. Suppose -i = 2*a - 3*a. Suppose -3*o + 10 + a = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 24*r + 26. Calculate g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-331)\/2680 + (-19)\/(-152). Is k > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275760851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/6)*r**(-4\/7))\/(r**(-3\/2))**(5\/2) assuming r is positive.\nAnswer: r**(197\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/15)\/((-140)\/45)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from sysysssyyyssysyysy?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 13 + 1 = 0. Suppose -p + 4*k - 9 = 0, -p - 4*k = -5*p. Suppose -p = 12*t - 39. Solve c + 0 = t*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -13 in increasing order.\nAnswer: -13, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 167593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80463?\nAnswer: 3, 26821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -273980 and 61.\nAnswer: -16712780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 8753205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -648842 <= -648846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1.6. Let l = 100 + -146. Let o = 46 + l. Which is the closest to 0? (a) 4\/5 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, v: 4}. What is prob of sequence vvcc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from {f: 1, d: 1, m: 4, a: 1, k: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48433, 48117, 47591, 46855, 45909?\nAnswer: 44753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 433 + -435. Put 1, -170, i in increasing order.\nAnswer: -170, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 0.045 in increasing order.\nAnswer: -6, 0.045, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -60*s + 25. Let p be w(-6). Let i be (12\/10)\/(22\/p). Suppose 3*v - k - 3*k + 19 = 0, 0 = -v + 5*k - i. Which is greater: v or 4.2?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h + 7197 = 7521 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 - 3 + (1 - 2 - 1)*(2 + 2 - 2) - 3 + 3 + 1 + (9 - 4 + 2)*(4 - 2 - 4))*(-10*m + 20*m + 37*m) as q*m + n and give q.\nAnswer: -1175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -263372056?\nAnswer: -263372055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4003 - -3992. Let b be (1 - 2)\/(10 + -9). What is the closest to 0.1 in 2\/15, b, u, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1663?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.875332 months in years?\nAnswer: 1.739611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30b6a2 + -4?\nAnswer: 30b69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -4 - -31) + -27\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3080 + -18479\/6. What is the nearest to -0.09 in 0.2, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**4 + 9*o**3 - 3*o**2 - 9*o. Let y(a) = -a**4 + 2*a**3 - a**2 - 2*a. Let d(l) = -2*v(l) + 9*y(l). Find the third derivative of d(u) wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsr when three letters picked without replacement from {a: 2, r: 7, s: 1}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*s**2 + 6*s**3 - 5*s + 5*s - 58*s**2 to f*s + h + a*s**2 + w*s**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6982450.\nAnswer: 2, 5, 73, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39463546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418751 is divided by 104594?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -39*t + 188. Calculate s(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*p**3*u - 11*c**3*p**2*u**2 - c**3*p*u - c**2*p - 4*c**2*u**2 - 667*p**3*u**2 wrt p?\nAnswer: 6*c**3*u - 4002*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 10:14 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 68.04. Let g = d + -5. Let j = 0.0333 - g. Round j to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*m - 5*m. Let j = 17 + m. Calculate the smallest common multiple of j and -1 - (21\/7 + -26).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 7*d - 14 = 4*d, 2*c - 8 = -2*d. Suppose -4*z + 14 = -c. Calculate the greatest common divisor of 44 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixnfeffeniinffenmenf. What is prob of picking 1 n, 1 e, and 1 x?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 76 = 4*g + 3*s, 3*g + 2*s = -65. Let u be (-49)\/g - 1\/3. Suppose 0 = l + 6*b - u*b + 1, l + 3*b = 3. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/69 and ((-6)\/(-276))\/((-315)\/(-2448)) - 1\/7.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 77 = 3*q. Let t(u) = -u**3 - 10*u**2 - 11*u - 8. Give t(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 54?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2 + 7*i**2 - 10*i**2. Let v(d) = -8*d. Give v(g(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 64, 139, 350, 769, 1468?\n\"Answer: 12*k**3 - 4*k**2 + 3*k + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1095, -1383, -2347, -4383, -7887, -13255?\n\"Answer: -66*l**3 + 58*l**2 - 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 4, -2\/7, 2, -0.807, -179 in decreasing order.\nAnswer: 4, 2, 0.06, -2\/7, -0.807, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1730119, 1730629, 1731139?\n\"Answer: 510*s + 1729609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/7)*t**20*t*t assuming t is positive.\nAnswer: t**(157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2779080 and 10060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86 + 87. Suppose -5*v + d = u - 14, 3*u + 6 = 2*v. Let 0 - 1\/2*t**4 + 1\/2*t**2 + 0*t**v + 0*t = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6025.37 + -6001. Let f = -24 + h. Let v = f - 0.3700036. 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: Let o = 7 + -11. Let s(l) = -2*l**3 - 9*l**2 - 4*l - 3. Let j(x) = -2*x**3 - 8*x**2 - 4*x - 2. Let f(q) = 4*j(q) - 3*s(q). Is f(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 108024, 1, 3, 4, 1\/5, 5, -3 in ascending order.\nAnswer: -3, 1\/5, 1, 3, 4, 5, 108024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:21 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254322701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 594 - 568.71. What is q rounded to zero dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 3*t**2 - 3*t - 1. Let y be o(4). What is the second derivative of -3*g**5 + 4*g**5 - 5*g**5 + 3*g + y*g**5 wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-7))**(-3)\/(((v**(-4\/3)*v)\/v**(1\/11))\/(v**(2\/5)\/(v**(-1)\/v))) assuming v is positive.\nAnswer: v**(466\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 105ab11d?\nAnswer: -105ab120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1)*818\/(-1). Let b = r - -49925\/61. Let m = b + -2527\/610. What is the common denominator of -54\/7 and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - 19*w - 31. Let g(k) = k**2 - 9*k - 15. Let x(v) = 2*a(v) - 5*g(v). Let n be x(-5). Solve -n*m = 2*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38a3 - -34ac?\nAnswer: 7082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839181 is divided by 4832?\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 787 - 218. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -1\/9572, 42, -2?\nAnswer: -1\/9572","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*n**6*x - 8*n**3*x**3 - 34*n**2*x**2 + 2*n**2 + x**3 wrt n?\nAnswer: 2160*n**3*x - 48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1084966, 2170283, 3255602, 4340923, 5426246, 6511571, 7596898?\nAnswer: 8682227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -1\/4*h**4 + 0 + 0*h + 3*h**2 + 1\/6*h**3. Determine v(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyly when four letters picked without replacement from {p: 2, y: 3, f: 2, l: 4, c: 2}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2611452?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 6*u + 120. Suppose -u = 2*j - 0. Let a = 24 + j. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0*k**4 - 1\/60*k**5 + 0*k**3 + 0 + 0*k - k**2 - 1\/60*k**6. What is the third derivative of w(u) wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 404 = 5*l, 0 = 5*l - 8*a + 10*a - 402. Suppose 6*o = 10*o - l. What is the third derivative of 1 + 22*g**6 + 15*g**2 + o*g**2 - 1 wrt g?\nAnswer: 2640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(-1\/2))\/h)\/(h\/(h*h**(-3\/4)\/h)))**33)**(-7) assuming h is positive.\nAnswer: h**(1155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 3796?\nAnswer: -3790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 + -85. Let i be 1*(t + (-11)\/(-2)). Which is the nearest to -1? (a) i (b) 3 (c) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -18. Let f(b) = -9*b**4 - 6*b**2 + 6*b - 3. Let u(r) = -17*r**4 - 11*r**2 + 11*r - 7. Let s(o) = g*u(o) + 11*f(o). Differentiate s(q) wrt q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 11*u + 1. Let o(z) = z**2 - 4*z + 2. Let x be o(4). Suppose -x = 3*t - 5. Let v be a(t). Solve -6*h - 15 = -4*f - h, f - 4*h - v = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/18 and 76\/113571.\nAnswer: 227142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38841680 is divided by 2671?\nAnswer: 2669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tqtqqtqq.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350116051?\nAnswer: 23, 15222437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3)\/f)**30\/((f**(2\/3)\/f)\/f*f**(-3\/4)*f))\/((f**(-1)\/f)**26*f**(3\/5)*f**(-4)\/f) assuming f is positive.\nAnswer: f**(449\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -14*i + 14*i + 3*i**2. Let l(d) = -4*d**2. What is l(t(z))?\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -11*p - 72. Determine q(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609647053.\nAnswer: 19, 1688773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrrr when four letters picked without replacement from rmmjmrjnmmnrmmrmrmmn?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c*w**4 - 154*c*w**3 - 14*c + 4*w**4 - 14*w**2 wrt w?\nAnswer: -72*c*w - 924*c + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**2 - 12*t + 23. Let q be j(11). Is q at most -1425\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350004854 to the nearest integer?\nAnswer: 18708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3973541 is divided by 128?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 62. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 165*t. Let y(z) = -1538600 + 1538600 - 2*z. Calculate y(d(v)).\nAnswer: -4*v**2 + 330*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a hour?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**4 + j**4 + 3*j**4 + (-2*j**2 - 2*j + 2*j)*(-2*j**2 + 0*j**2 + j**2) - 61*j**4 - 323*j + 323*j as h*j**3 + b + d*j**2 + g*j + w*j**4 and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1273040676 - -1273034440.699966. Let a = -6234.1 - q. Let d = a + -1.2. Round d to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33.5 times 0.03\nAnswer: -1.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00437793 rounded to six decimal places?\nAnswer: 0.004378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/25*-5)\/(10\/(-50)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3\/4 - 10282779*g**2\/2 + 41131125*g\/4 - 5141391 = 0. What is g?\nAnswer: -6855188, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. Suppose 1 = -l*i + 13. Suppose -67 = -9*z + 5*r, 415*z - 33 = 412*z + 3*r. Solve -i*y + 4 = -z*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0.4, -23.\nAnswer: -23, -21, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 552*k = -559*k - 57, 3*k = i - 37 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2)\/r)\/r*r**(1\/4))\/(r**(-7)*r*r**(4\/3)\/r))**(-19) assuming r is positive.\nAnswer: r**(-437\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 2*s - 11*s**2 - 327 + 602 - 275.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*j - 16 + 4*j**3 + 51*j - 29*j + 16*j**2.\nAnswer: 4*(j - 1)*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 160706513548 - 160706513548 - 118*x. Let b(m) = -3*m + 4. Let w(a) = -1. Let v(r) = -b(r) - 4*w(r). Give v(k(d)).\nAnswer: -354*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13860)\/6972 + ((-12)\/15)\/(6 - 384\/60).\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8452 = -652*o - 96*o - 41364 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 - 12*c**2\/7 + 22*c\/7 - 12\/7.\nAnswer: 2*(c - 3)*(c - 2)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25394, 50767, 76142, 101519, 126898?\nAnswer: 152279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (2 + -3 - (-13 - -13)) - -42.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b + 23*b - 4*b - 4*b + 2*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -400563\/35950 - -8\/3595. Let a = -2\/75 + u. Find the common denominator of a and -11\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 77, 153, 229?\n\"Answer: 76*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8447519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30514 - 14720 = 2154*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1803970634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6886384.\nAnswer: 2, 23, 18713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 24. Let z be (-1)\/(k\/64*1\/31). Round z to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 58ceb7?\nAnswer: -58cebc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 174.\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 32 - 3 - 74)*(-9*p**2 - 3*p**2 + 14*p**2)*(-3 - 8*p**2 + 3).\nAnswer: 1616*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v**4 + 59*v**3 + 182*v wrt v?\nAnswer: -60*v**2 + 354*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519986?\nAnswer: 2, 259993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*w - r, -3*r = -3*w - 22 + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1243236 (base 7) to base 10\nAnswer: 162021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 times -0.06?\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, -1, 10, 4\/9 in increasing order.\nAnswer: -3, -1, -0.3, 4\/9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4628.478 rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33065837 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -21. Let f be -5*m\/(-15) - (-3 - 0). Suppose -5*r = -f - 20. Solve r*g + 21 = -i, 4*g = -i - 3*i - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -19. Let g(r) = -r**3 + 11*r**2 - 9*r + 11. What is the remainder when 83 is divided by g(h)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5060091437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25.05 - 25. Let w = u - 0.25. Which is the second smallest value? (a) w (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -807 (base 16) to base 3\nAnswer: -2211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 + 200. What is the least common multiple of 56 and f?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84 and 2.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 73*l + 114. Give h(-35).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 290 = -c - 0*n, 5*c + 1463 = -3*n. Let d = 8 - c. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -7\/5, 8\/75?\nAnswer: 8\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -879*r + 3456 = -591*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (9 - (4 + -2))) + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/23 or -615?\nAnswer: -615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 5:45 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2. Let u(g) = -3*g**2 + 3*g**2 + 0*g**2 - 9*g**2. Determine u(p(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d. Let t(f) = -f - 13. Let r be t(-11). Let u be (-8)\/(-2) + 4*r\/(-4). Let n(a) = -u*a**2 + 42*a**2 + 13*a**2. What is n(w(x))?\nAnswer: 196*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 381645?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17079 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 149102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 61 = 463. Let m = w + -95. Which is greater: -27 or m?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*s - 5*s = -20, 2*y = 2*s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 3*j + 4. Let v be q(5). Let u be 56\/3 - v\/18. Let 0*s + 9*s - u*s - 2*s**2 = 0. What is s?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5948 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/23 (b) 5 (c) 2 (d) -166\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, q: 2, x: 1, p: 1, e: 5}. What is prob of picking 1 e, 1 x, and 1 p?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54933, -54901, -54877, -54867, -54877?\nAnswer: -54913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84.98 - -85. Let t = -4.92 + 18.9. Let k = y + t. Which is the second smallest value? (a) -0.2 (b) k (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1443251484?\nAnswer: 2, 3, 43, 932333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*c + 8. Let x be c*2\/(-8)*6. Suppose f = -2, x*r + 3*f = -r + 10. Solve t + 0 - r = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227 divided by -1?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*o*t - 137*o + 14*t - 61 wrt o.\nAnswer: -23*t - 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/((-90)\/20).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9210, 9088, 8966, 8844, 8722, 8600?\nAnswer: 8478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2885 or -2884?\nAnswer: -2884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 806 and 4.\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 7:40 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + u + u + (2 - 2 - 2)*(u - 6*u + 2*u) + 34*u - 191 + 191.\nAnswer: 42*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 30 = -26. Let g(s) = 18 - 14*s + z*s - 7*s + 19*s - s. Determine g(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 15*y**2\/2 + 1. Let z(l) = 5*l**2 + 522*l - 9. Let p(a) = a**2 + 116*a - 2. Let m(w) = 9*p(w) - 2*z(w). Determine t(m(f)).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 15 = -2*s, 2*i = -s + 49. Suppose 32 = -5*j + 122. Suppose c + j = 3*c. Calculate the remainder when i is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25934054 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 88*x - 2248 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 16. Give u(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 + -0.31. Let h(y) = -y - 12. Let v be h(-6). Let j = -30 + 30. What is the closest to j in v, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 53241 = -y, -3*y + 106427 = -y - 3*w. Suppose 0 = t + 6*t - y. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000000101 + 10?\nAnswer: 11000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1 (b) 1\/5 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 27 = -0. What are the prime factors of -28*39\/a*(-3)\/(-4)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t**4 - 47*t**2 - 12*t + 630. Let l(q) = -9*q**4 - 48*q**2 - 10*q + 629. Let x(i) = 6*l(i) - 5*o(i). Differentiate x(y) wrt y.\nAnswer: -16*y**3 - 106*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21188 + -21186. Let a(w) be the first derivative of -3\/5*w**3 + 1\/25*w**5 + 0*w + 27 + 0*w**s + 2\/5*w**4. Factor a(n).\nAnswer: n**2*(n - 1)*(n + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - a + 6 = -5*a, 0 = 2*f + 5*a - 9. Suppose 7*x + 4*v - 108 = 3*x, 0 = -4*x + f*v + 90. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -2\/15, 1\/5, -58?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 6:33 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = 0, 4*b = -0*m - 2*m + 24. Suppose -3*c + 7 = -3*n + 31, c - m = -n. Let q(u) = u**2 - 7*u + 3. What is the units digit of q(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 10. Let b = x - -63. Is b less than or equal to 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*j + 33*j + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/32 and 49\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/54)\/((-16)\/(-36))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1046497 at least as big as -1047233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**2 - 3873093*r + 34857594 = 0.\nAnswer: 9, 1291022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + 0*r**2 + 0*r**2 + 6*r**5 - 6*r**2 + 6*r**2 + (3*r - 4*r + 3*r)*(-4*r**4 + 4*r**4 - r**4).\nAnswer: 3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 66029, 65991, 65929, 65843, 65733, 65599?\n\"Answer: -12*y**2 - 2*y + 66043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 6 + 75\/(-3)*(-6 + 28\/10)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662 (base 9) to base 3.\nAnswer: 202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -66 (b) -316\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8403172 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 787493 and -1?\nAnswer: 787494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (441\/(-98))\/(9\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 19*s**2 - 11 + 31 in the form n*s**2 + d*s + i and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from uzuzzuchucc.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8277*v. Let y(o) = 41*o**2 + 3. Calculate y(n(a)).\nAnswer: 2808857889*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -c + 3*j, -5*c + 0*j + 27 = 2*j. Suppose -u - 210 = c*u. What is the remainder when 93 is divided by ((-21)\/u)\/((-2)\/(-80))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22171, 44340, 66509?\n\"Answer: 22169*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(153) + 0))**2 + -2.\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 + 11\/2. Suppose 4*t - 60 = -2*u, 3*u = -t - 2*t + 75. Calculate the highest common divisor of n and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3229 + 3140 + 3146 - 12*d**2 - 9515.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cncw when four letters picked without replacement from {c: 4, r: 5, q: 1, n: 6, w: 1, l: 3}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 15*c - 9. Let t be s(8). What is the highest common divisor of 74 and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775906 to the power of 1\/2, to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16894554 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - l + 1. Let k(q) = 3*q**3 - 2*q + 1. Let j(w) = k(w) - 2*z(w). Let f(m) = -m**3 + 2*m**2 + 3. Determine -f(t) - 3*j(t).\nAnswer: -2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/2 - f**3\/2 - 13*f**2\/2 + f\/2 + 6 = 0. Calculate f.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Let v(c) = 2. Let f(j) = -j + 5 + 3 - 10. What is g*v(z) + 2*f(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 40 = -5*k, 0 = -m + 11*k - 6*k + 10. Let x = -5 + 7. Solve f + 0 = 5*t + m, -x*t + 3*f = 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14237*a*v**2*w - 315*a*v*w + 2*a*v + 2*a - 1 wrt v.\nAnswer: 28474*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258891?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*j - 52 + 186, 2*p + 4 = 0. Suppose -4 - 11 = -v - 3*o, -j = -4*v + 2*o. Let x = -139 + 223. Calculate the highest common divisor of x and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -849 - -854. Sort t, -166, -2 in increasing order.\nAnswer: -166, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwqqwwqqqwqw. Give prob of sequence wqq.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -877*q**3 + 747*q - 1 wrt q?\nAnswer: -5262*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -0.2. What is the second smallest value in -4, -5\/4, u?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + (sqrt(121)*3*4)\/sqrt(11) - ((sqrt(176) + sqrt(176) + sqrt(176) + 3 - sqrt(11)) + -3 + -2)**2).\nAnswer: -1334 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482987 is divided by 934?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 106 = -3*x - 2*y, 0 = 4*x + 2*y - 140. Calculate the remainder when x is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/7)*x)\/(x\/x**(-1\/21)) assuming x is positive.\nAnswer: x**(26\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -302*m**2 - 1. Let g(n) = n**2 - 8*n + 14. Let b be g(3). Let w be h(b). What is w rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*((-48)\/(-36) - 0\/(-1)). Put q, -18, 3 in descending order.\nAnswer: q, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(3\/2)*t\/(t*t**(-19)\/t))\/(t\/t**20*t*t**(-10\/7)))**(3\/26) assuming t is positive.\nAnswer: t**(1635\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 2\/29, -62198, 0.22, -4 in increasing order.\nAnswer: -62198, -4, 2\/29, 1\/8, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/(-1760)*64\/(-76)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n - 12. Let s(d) = -7*d - 71 + 80 + 8*d - 6*d + d**2. List the prime factors of s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22*-1)\/2*-1. Suppose 3*l - f = i, 0*l + 4*l + 5*i + 17 = 0. Is 3\/5 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, s: 10, m: 6}. Give prob of picking 1 m and 1 c.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1920501 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12015 = 45*n - 367*n - 24842 - 29033 for n.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 1:29 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - 13*r + 13. Let p be t(-5). Which is the closest to 2? (a) p (b) 2 (c) 5 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -301, 456, -0.04 in descending order.\nAnswer: 456, 1\/2, -0.04, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuk when three letters picked without replacement from {c: 2, s: 2, u: 6, k: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 15. Let r be z(-15). Let w = r + 70. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 26. Let k be u(-23). Let m be 0\/(2 - (-4)\/(-1)). Let n = -3 - m. Is n smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 0 - 7*s**2 + 0*s - 1\/3*s**3 - 1\/3*s**4. Find the first derivative of g(c) wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11628655.\nAnswer: 5, 643, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 1. Let s(x) = -4 + 222*x + 5 - 221*x. Give 5*s(o) + 3*u(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3955475715 to the nearest integer?\nAnswer: 62893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/5 (b) 4 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1280858 and 2547.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-4) - ((-342)\/45 - (-6)\/10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o + 2. Suppose 4*s + 5*x = -56, -3*x = -7*x - 16. Let f be (-2 + 1)\/(1\/s). Let j(i) = 7*i - 5. Calculate f*n(c) + 4*j(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21410466947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -243968618 divided by -243968618\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 2*z + 6. Suppose 438*x = 429*x. What is i(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 8 in descending order.\nAnswer: 8, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.765 + 4.7. Let t = r + 0.465. Sort t, -0.1, -9, -2\/3 in increasing order.\nAnswer: -9, -2\/3, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 56. Is -9 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 2. Let t be c(0). Suppose t*q = -5*s + 3*q + 15, 0 = 3*s + 4*q + 14. Is 10 a factor of (-9 - s)\/(-1) - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*s**3 - 43*s**2 - 943*s - 1147462?\nAnswer: -15*s**2 - 86*s - 943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((91509\/22)\/(-59))\/(-3)*-2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*r - 356*r + 183*r - 286.\nAnswer: 8*r - 286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -22, 5, -3.\nAnswer: -22, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -4\/7 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 e when four letters picked without replacement from {l: 1, e: 3, r: 2, v: 6}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(0 + sqrt(1250)) + (2*sqrt(1250))**2*-5 + -3).\nAnswer: -25003 - 75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1167*q + 3. Let h(p) = 2*p + 390. Give h(o(f)).\nAnswer: -2334*f + 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 552304 and 0.1.\nAnswer: 55230.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1*1.72559\nAnswer: 1.72559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**3 + 3*g**3 - 4*g**3)*(-5862 + 5681 - 3*g + 2*g) as t*g + o*g**4 + b*g**2 + k + i*g**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -777524, -777521, -777518, -777515, -777512, -777509?\n\"Answer: 3*k - 777527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29, -63, -133, -251, -429?\n\"Answer: -2*f**3 - 6*f**2 - 2*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 5*r**3\/3 + 390*r**2 - 785*r - 1792. Determine f so that j(f) = 0.\nAnswer: -157, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 21*u - 17. What is the remainder when k(-19) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.07*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 9:19 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18263092?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 + 3*c**2 - 2*c**2 + 3*c - c**2.\nAnswer: -7*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 5\/2*x**2 + 2 = 0. Calculate x.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79 + 557\/7. Sort 0, v, 0.1 in decreasing order.\nAnswer: v, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136*s**3*y**2 - 2*s**3*y + 20816*s**3 + 2*s**2*y**2 + 22*s**2 - 245580*s*y**2 + 4 wrt s.\nAnswer: -816*y**2 - 12*y + 124896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 26*c = 74*c - 85085. What are the prime factors of c?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2155 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x = 17*x - 15, 0 = -9*s + s + 3*x - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 9 - 6)*(5*j + 6*j + 7*j)*(0 - 3 + 5).\nAnswer: 432*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5454 and 8.\nAnswer: 21816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -88*x**2 - 365*x - 15. Let b be l(-4). Solve b + 96 = 19*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let r(a) be the second derivative of -17*a**3\/6 - 19*a**2\/2 + 21*a. Let i(d) = -6*h(d) + r(d). What is the hundreds digit of i(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**7\/112 + y**6\/16 - 27*y**5\/160 + 7*y**4\/32 - y**3\/8 + 3*y. Factor b(t).\nAnswer: -3*t*(t - 2)*(t - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/67796 and 67\/22.\nAnswer: 745756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 99 = -15. Is 6\/(-14) - (-28344)\/k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/7 (b) -324 (c) -4 (d) 0.4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*f + 2 - 6 = 0, -4*n + 4*f - 20 = 0. Let h = 0 - n. Suppose -v - v = 4. Sort -4, h, v.\nAnswer: -4, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/52)\/(((-10)\/350)\/((-24)\/(-14)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 0*y**3 + 98 - 98.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0399 and -0.38.\nAnswer: -0.015162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 24*h**2 - 37*h + 322. Calculate f(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -779*r**3 + 1976*r**3 - 595*r**3.\nAnswer: 602*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7599478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.9 + -16. Let w = y - -0.1. Is w at most 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 10:55 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137 - -89. Let o = 50 + n. What is the lowest common multiple of 84 and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/5 (b) 1 (c) 0.4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -926, -1412, -2246, -3434, -4982, -6896, -9182, -11846?\n\"Answer: -l**3 - 168*l**2 + 25*l - 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 5:01 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 16949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 31557.4?\nAnswer: -2209.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/3 + -1. Which is the third biggest value? (a) r (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/50017 + -6852437\/2700918. Calculate the common denominator of s and -89\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13543 and -5982.\nAnswer: 81014226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -16. Let j = 11534 - 11534.1. What is the closest to j in -3\/4, -1\/3, v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**5\/60 - 2*f**4\/3 - 71*f**3\/6 - 23*f**2 - 1. Let s be v(20). Solve b - s = -3*w, -2*b = 2*w - 0*b - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -12*l. Let q = 10320 - 10293. Let g(b) be the second derivative of -q*b - 1\/6*b**3 + 0*b**2 + 0. Calculate z(g(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 51?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 24*f - 1. Let a be v(1). Suppose 4*o - a = 3*u, 3*o + 10 = 6*o + 5*u. Suppose 5*h + 170 = o*w, 181 = -0*w + 4*w + 5*h. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/50, -0.04, -1\/4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - -200. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.6 + 2.36. Let m = j - -3.24. Let a = -225\/1177 - -1\/107. What is the closest to m in 2\/3, a, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*m - 3 + m**3 - 23*m - 2*m**2 - 1 as u*m**2 + h*m + r + f*m**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -885228.34 and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-10) + (-1280)\/(-130)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/16*(-4)\/(-1). Suppose 4*n + 3*l - 16 = 0, 3*n + l + t - 21 = 0. Let d(o) = 4 + o - n. What is d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, 0.46, 4, -0.2, -14230, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 400419.142 rounded to the nearest 1000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - 43) + (-10 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 5:54 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 352.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/27)\/((-22)\/(-33))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + k**2 - k**2)*(-2*k - 1 + 1) + 390*k - 390*k + 270*k**4 + 0*k**4 - k**4 + 0*k**4 + 0*k**4 - k**4 + 0*k**4.\nAnswer: 270*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3055 - -14\nAnswer: 13.6945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/4 + 15*w + 57\/4.\nAnswer: 3*(w + 1)*(w + 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5443 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:03 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 n when four letters picked without replacement from snnnnnns?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.33492 minus 45?\nAnswer: -49.33492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfonynffonf. What is prob of picking 1 y and 3 n?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8*i**2 - 31*i + 7. Let c(l) = 21*l**2 - 93*l + 19. Calculate -3*c(x) + 8*f(x).\nAnswer: x**2 + 31*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20, 42, 72, 110, 156, 210?\n\"Answer: 4*j**2 + 10*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -386\/239 - -222094\/146985. Find the common denominator of d and -71\/246.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(-20))\/a)\/a*a\/(a\/a**(-18)) assuming a is positive.\nAnswer: a**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 379273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -496.8*-4.\nAnswer: 1987.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667 = -48*k + 59 - 112 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*p - 8 = 46*p. Suppose 3*h + 0*b - p*b - 425 = 0, 6 = 3*b. What are the prime factors of h?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 * -10046.47\nAnswer: -512369.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 46, -19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 6*c + 8. Let y be g(-7). Let b(z) = 5*z + 2. Let v(j) = -j. Determine y*b(h) + 4*v(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2408\/2709*(-54)\/(-2). Let o(j) = -j + 300. Let g be o(0). Calculate the highest common factor of g and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 y when three letters picked without replacement from gqymmy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -39. Suppose v*i = -w - w + 187, -9 = -3*i. Suppose 4*a = -2*s + a + 78, -2*s = -a - w. Calculate the highest common divisor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 8 = d + 2*p, d - 4 = -4*p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l - 5*l - 2*l)*(-48 + 48 - 8*l) to the form h + v*l**2 + g*l and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-5) + (-114)\/(-5). Suppose 3*f + 5*g = -u - 10, 3*g + 27 = -3*f. Let d = f + 16. What is the greatest common factor of 25 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -14, 1227 in ascending order.\nAnswer: -95, -14, 1227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7 + 6 + 5*s - 6*s. Suppose c + 2 = 4*x + 3, 5*x + 3*c + 14 = 0. Let w(q) = -5*q - 2. Let r be (-16)\/(-6) - 9*(-12)\/(-162). Give r*u(z) + x*w(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15010114?\nAnswer: 2, 7, 19, 73, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1384.287 centuries to millennia.\nAnswer: 138.4287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4391*c**3*n**2 + 6*c**3 - 612*c**2*n**2 + 2*c**2 + 4210*c - 6 wrt n.\nAnswer: 8782*c**3*n - 1224*c**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10*4\/6*1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s\/((s\/((s**4\/s)\/s))\/s)*s))*s)\/((s*s\/s**(-7)*s)\/s) assuming s is positive.\nAnswer: s**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0.119, 0.5, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8 = -5*g. Let r be 9\/6*g\/(-66). What is the second biggest value in r, 5, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 10*a + 2. Let h be d(-10). Solve 5*p - h*m = -30, -p + 5*p = -3*m - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21\/(-6) - -4)*(-3 + 3). Suppose -r + i*r - 2 = 0. Which is the nearest to 1? (a) 14\/13 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 + 17 = 0. Let n = v + 6. Let l be ((-27)\/6)\/n*-2. Which is smaller: l or 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z. Let b(t) = 7*t**2 - 1. Let x(p) = 6*p**2 - 1. Let s(n) = -4*b(n) + 5*x(n). Let j(u) be the first derivative of s(u). What is o(j(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e9 + -30?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025013796 to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 10*i - 22. Let x be o(12). Suppose -4*h = x*h - 240. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j - 36 = 0. Let q be (8\/j)\/(2\/3). What is the derivative of q + 3*y**4 + 3*y**4 + 3 wrt y?\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1308 and 132.\nAnswer: 14388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 313*q**2 - 313*q**2 + 36*q**4 + (3*q**2 - q**2 + 0*q**2)*(q + 2 - 3*q + 32*q**2 - 30*q**2) - 2*q**3 - 2*q**4 + 2*q**3.\nAnswer: 38*q**4 - 4*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-531)\/885*14*11\/((-154)\/(-60)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300973151 to the power of 1\/2, to the nearest integer?\nAnswer: 17349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (18 - 2 - 2)\/10 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -3)\/(2\/14). Let t be 6\/(((-42)\/4)\/k). What is the tens digit of 356\/6 - t\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1876\/(-201) + (9 - 1).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n + 3*x = -6, 2*x + 6 = 0. Calculate the smallest common multiple of -2 - (24\/(-1) - -2) and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14)\/(-6))\/((-12)\/(-72)))\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 4 + 1)*(-2 - 1 + 5) + 6 - 1 - 2)*(-3 - 1 + 5)*(2*o**2 - 6*o**2 - 7*o**2).\nAnswer: -77*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 186 = 5*p, j - 202 + 62 = -4*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*a + 50*a + 35*a)*(5 - 6*a + 4*a - 3)*(2*a - 2*a + 3*a**2) as b*a + d*a**4 + t + u*a**2 + k*a**3 and give d.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11103131240 (base 5) to base 6\nAnswer: -1112354553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -101.\nAnswer: 38\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2)*-1 - sqrt(2)) + -3*sqrt(10)\/sqrt(5) + sqrt(2).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*1 - ((-48)\/(-36) + 20)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 625*t - 1059. Let k(m) = -m**2 + 25*m. Determine o(k(i)).\nAnswer: -625*i**2 + 15625*i - 1059","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w + 12. Calculate h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -16*z - 60 - 4. Which is the closest to 1\/2? (a) 0.5 (b) 3.3 (c) z (d) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45\/8 + -11\/2. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 18422 (b) -3 (c) 4 (d) -2\/249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fplppcccfu. What is prob of sequence pu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3642664 - 265?\nAnswer: -3643151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from fhhhcyhfffywffhchy.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2251555 (base 6) to base 13\nAnswer: 4090a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**2 + 6*m**3 + 0*m**3 - 11*m**3 - 2 to the form q + l*m**2 + u*m + s*m**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.2 + -3.416. Let z = -0.016 - x. What is the closest to 0.7 in z, 1\/2, -2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.0650099 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.021, 3\/5, 134, 1\/3 in decreasing order.\nAnswer: 134, 3\/5, 1\/3, 0.021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699141 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n + 73. Give p(15).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19588044 and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-36)*v**(-21)*v assuming v is positive.\nAnswer: v**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/8*148\/(-777).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*400.4.\nAnswer: 280.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 2. Let q be s(-5). Suppose 4*l + 9 = 3*r + 2*l, 3*l = -3*r + 9. Suppose -4*b + 2*x = 20, 3*x + r - 1 = -2*b. Put b, -0.1, q in increasing order.\nAnswer: b, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -2. Let z = -2 + 14. Let a(c) = -2*c - 9*c + z*c. Let f(k) = -k + 2. Determine s*a(m) - f(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5334 = 5*k + 265, 0 = -3*k - 2*l + 3039. List the prime factors of k.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (457200\/(-288))\/635*(-6)\/(-440)?\nAnswer: -3\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 14) in base 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 1. Let n(l) = -2*l + 1. Let t(q) = -q**3 + 7*q**2 - 1. Let h be t(7). Let j(z) = h*n(z) + i(z). Let u(k) = -5*k. Calculate j(u(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 290*w + 53452. Determine j(-183).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = x + 8, -6*n - 3*x = -5*n - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68273468 is divided by 1879.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 0.5, 4\/5, -129733?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -216732 and 22.\nAnswer: -216710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 0) + 6\/(24\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -9*n + 72 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 536.9599 centuries?\nAnswer: 644351.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1425.942 + 1422. Let u = a - 0.058. Sort 0.1, u, 0.4, -1.3 in decreasing order.\nAnswer: 0.4, 0.1, -1.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 9. Suppose -5*y + 6 = -2*w - 29, 4*y - 16 = 4*w. Calculate the remainder when a(y) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 495 = 24*j. Let t = j + -149. Solve t = -q + 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 25 (b) 44 (c) 5 (d) -5 (e) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334 = -10*k + 294 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56992\/33 - 1726. Calculate the common denominator of p and -65\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 21612*l**2 - l.\nAnswer: -21612*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33730, 67462, 101194, 134926, 168658?\nAnswer: 202390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 4, -1, -7, 3\/79 in increasing order.\nAnswer: -36, -7, -1, 3\/79, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4905*r - 2 = 4907*r. Suppose -5*l - 9 + 4 = 0. Is r >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 944 and 133240\/141 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/9 of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45736, 91885, 138034?\n\"Answer: 46149*i - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6915 + 117.2615. Let d = -3 + -111. Let v = d + n. What is v rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Suppose s = 2*u - 5*u - n + 17, 0 = 5*u + 2*n - 30. Solve -u*l + l = 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 895186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 4*x + x + 0*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 91 (c) -2\/3 (d) -4 (e) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*u = 1, 0 = -3*n + n - 2*u. Let f = n + 5. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(68)\/(sqrt(2)*1))\/(6*(sqrt(2) + sqrt(2)*-2 - sqrt(2))) - 2*(sqrt(17) + (sqrt(170)\/(-3*sqrt(10)))**2 + (sqrt(425) + -1 - sqrt(425))).\nAnswer: -25*sqrt(17)\/12 - 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/(4\/32). Let p(b) = b**3 + b + 1. Let s be p(-1). Put w, 2, s in descending order.\nAnswer: w, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*w + 31*w = 2*v + 14, 22 = -2*v + 5*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 583000 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10328 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) 2\/15 (c) 4\/11 (d) -0.3 (e) 3 (f) 1 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 + 10*m**2 + 17*m + 3. Determine c(-8).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - ((sqrt(104) + sqrt(104) + -1*sqrt(104))*-6 - sqrt(104)))\/(sqrt(16)\/(-1*sqrt(2))))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f3c6 (base 16) to base 7.\nAnswer: 1434035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25624*z - z**2 + 4*z**2 - 25627*z - 7*z**3 to the form o*z + g*z**3 + v + h*z**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffk when four letters picked without replacement from {k: 4, e: 3, f: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i - 1. Let d(k) = 8*k - 1. Let z = 12 - 6. What is z*d(w) - 7*h(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 346, 873, 1734, 3001?\nAnswer: 4746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.83317 - 6.09393. Let z = -0.0729 + j. Let p = 3\/5 - 26\/35. What is the nearest to z in -0.3, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*j - 2*g, -2*j + 3*g + 6 = g. Let x be (-29)\/(-42) - (-1)\/3. Let q = x - 5\/14. What is the closest to 1 in q, j, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c. Let n(m) = 5*m. Suppose 0 = -4*q - 10*x + 5*x + 151, q - 3*x - 25 = 0. Let j(b) = q*o(b) - 6*n(b). Determine j(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - 1*sqrt(375))\/(sqrt(5) + -1*sqrt(80) + sqrt(5)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 10*t)*(-2*t + 2*t - t) + 0*t**2 - 4*t**2 + 5*t**2 + 0*t**2 + t**2 - 3*t**2 + (-2 - 1 + 1)*(t**2 + 0*t**2 + 0*t**2).\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.6408 times 1\nAnswer: -1.6408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 129*h**3 - h**2 + h - 1. Suppose 3*b + d - 4*d - 3 = 0, b = -5*d + 1. Let a be f(b). Suppose 4*v = -0*v + a. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1460121121 + 13?\nAnswer: 1460121134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - 90\/(-12))*48. Let p = 13 - -25. Let k = p - u. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193 - 167. Let f = 24 + -11. What is the highest common factor of f and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1976*t - 2082*t = -276996 - 32842. Round t to the nearest ten.\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (195\/(78780\/(-16766)))\/(2 + -1).\nAnswer: -83\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7223731217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2784 and 4603112?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067107321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 993329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3*c - 4*c)*(0 + 2 - 3)*(5*c - 2*c - c) - 6*c**2 + 8*c**2 + 7*c**2.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-2\/13)))\/a**(-5\/6))\/(((a\/(a\/(a*a**(-1\/3))*a*a))\/a)\/a)**9 assuming a is positive.\nAnswer: a**(2393\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13001311210 (base 4) in base 2?\nAnswer: -111000001110101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 0. What is the units digit of ((-2)\/g)\/(11\/(-1892))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2034440 (base 5) to base 9\nAnswer: 51254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -113.62 * -34\nAnswer: 3863.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.4 and -1.\nAnswer: 9.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2727, -5383, -8039?\nAnswer: -10695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-5))\/(12\/(-450)). Let g = 96 + c. Solve -5*t = -g*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*m**4*v**2 - m**2*v**2 + v**2 + 143*v wrt m?\nAnswer: -132*m**3*v**2 - 2*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4)*(3*o - 3*o + 2*o**3) + (-16 - 4 + 5)*(2*o**3 - 2*o**3 + o**3).\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.39*-0.07052\nAnswer: 0.0275028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.457 - 0.47. Let o = -0.01235 - a. What is o rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/140 - 9*(-8)\/(-252)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 10:34 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - -0.3. Let b = -0.9 + q. Let h = -1946\/117 + 222\/13. What is the closest to b in h, 0.4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 p when three letters picked without replacement from uuuuppu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = a - i, 4*a - i = 4. Let n = 5 - a. Suppose n*w = -v - 15, 0 = -0*v + v + w. Solve -v*z = -7 - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b0665 (base 15) to base 4.\nAnswer: 22310133131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 + k - 1. Let u be v(-2). Solve 4*z - 13 = u*z + b, -4*b - 1 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 260754 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.92 + -4.08. Sort 0.2, k, -13 in increasing order.\nAnswer: -13, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104 - -724\/7. Suppose 3*i = 6, 0 = 6*t - 3*t - 3*i + 6. Put l, t, -5 in decreasing order.\nAnswer: t, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 5:09 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-116)\/(-39) + -5 + 2. Let s(m) = -m**2 + 3*m + 1. Let w be s(3). Is f at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5 + 3*z - z - 3.\nAnswer: 2*z - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*g - 5, -5 = 5*g - 0*l - 2*l. Put 1, g, 3 in ascending order.\nAnswer: g, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*k + 178*k - 113400 = 0. Is k a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2852.7 + 2853. Which is the nearest to 3? (a) -244 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 48?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 11*h**5\/4 - 3*h**4\/4 + 3*h**3 + 13*h**2\/2 - 221*h. Is i(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64? (a) 3\/4 (b) -3 (c) -2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1327024, 145 in ascending order.\nAnswer: -2, 145, 1327024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198613 is divided by 196795?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5 - 0. Find the third derivative of 3*q**6 - n*q**2 - 2*q**6 + q**6 wrt q.\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**4\/12 - 5*l**3\/6 + 3*l**2 - 1344*l. Let r(b) = b - 6. Determine -2*r(h) + 3*x(h).\nAnswer: 4*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52895198 is divided by 2386?\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 5*r + 8. Let a be n(8). Solve -5*s = -0*u - 4*u, a = 4*u + 3*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4425469518 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 0, -8467?\nAnswer: -8467","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -253.614 + 254. Round m to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 + 90 - 23*z - 191 - z as j + g*z and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 4. Suppose 13*q - 18*q = -25, 0 = -2*k - 4*q + 12. Let m be k + 7 + -9 - -9. Determine g(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 2*o**2 - 48*o + 984. Determine k(14).\nAnswer: -2824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 - 5 - (-2877 - -3004)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 364 and 1988.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i**3 - 386*i**2 - 5258*i - 1710 = 0. Calculate i.\nAnswer: -45, -19, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/15)\/((-2)\/(-3)). Let u = 553\/1186 - -20\/593. Put u, q, 12 in descending order.\nAnswer: 12, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74368.95m to nanometers.\nAnswer: 74368950000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571*h**3 - 102*h**3 - 162*h**3 - 100*h**3 - 104*h**3 - 105*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -16, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 10*a + 3. Suppose 3*c - 59 = 181. Suppose -c = 8*t - 0. Calculate f(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1056 + 750 = 101*c - 618 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 h, and 1 k when four letters picked without replacement from {w: 1, k: 1, s: 5, h: 2, x: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/(0 + 1\/2). Suppose l + o = h - 2*l, -5*h + 74 = -l. Calculate the remainder when 25 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 times -1?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.6 and -906840?\nAnswer: 906841.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*i. Suppose i*x + 2*x = 8, -x + 32 = 4*y. What is the greatest common divisor of 77 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13569031, 13569027, 13569023, 13569019?\nAnswer: 13569015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 9. Let t(w) = o - w - 3 + 5 + 7*w - w**2. Let x be t(6). Sort -2, 3, x in decreasing order.\nAnswer: 3, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 231 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 243 by 17.\nAnswer: 243\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(57)*6 - (2*sqrt(8208) - sqrt(8208)))\/(2*(-1*sqrt(363) - sqrt(363)) - (sqrt(363) - 2*sqrt(363)*-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + (5 + (sqrt(171)*-2 + sqrt(171) - sqrt(171))*-3*-4 + 5)**2 + -2 + -3.\nAnswer: -1440*sqrt(19) + 98586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*d**2\/4 - 687*d\/4 - 180 = 0 for d.\nAnswer: -48\/49, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6536 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -310 (base 7) in base 9?\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k - 3*k**4)*(-7*k + 92*k - 54*k - 1).\nAnswer: -93*k**5 + 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 - 15 = 0. Suppose 2484 - 440 = i*t. Suppose 3*m + t = l, 0 = 2*l + m - 4*m - 1013. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -49. Let n = -132 - -134. Find f, given that 0*f - 1\/2*f**a - 1\/2*f**n + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -3*d**6\/14 + 191*d**5\/35 - 561*d**4\/14 + 380*d**3\/7 - 100*d**2\/7 + 220. Find f such that l(f) = 0.\nAnswer: 0, 2\/9, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03294194 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 5*v**2 - 2*v + 14. Let r be y(-6). Suppose 7*q = 17*q - 30. Suppose q*z + 2*c + 12 = 7*c, 0 = 3*z - c. Sort z, r, -1 in ascending order.\nAnswer: r, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 8:47 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -34 - -61 - 59.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20076428 less than -5.42908?\nAnswer: -5.22831572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -188.5 times -7388\nAnswer: 1392638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 4:26 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsxftfn. What is prob of sequence df?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1044 is divided by 228.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1194282192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3943 in -0.03, -2\/11, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 7. Suppose 2*y + 352 = v*h - 4*h, 0 = 5*y - 20. What is h rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - 0.1. Suppose -1238*f - 25001 = 5949. What is the second smallest value in f, 1\/6, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*l + 30*l + 2. Put l, 5\/3, -0.4, -0.05 in decreasing order.\nAnswer: l, 5\/3, -0.05, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17694361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -16*x**2 + x + 72*x**2 + 3*x**2. Let r be g(1). Calculate the greatest common divisor of r and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/513613698 and -137\/60?\nAnswer: 5136136980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1087*t + 1071*t = 224. Let m(h) = 3*h - 5 - 14*h - 2. Let c(s) = 5*s + 3. What is t*c(z) - 6*m(z)?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*(v**0\/v)\/v)\/v)*v*v*v*v**(-1))\/(v\/(v\/(v\/(v\/(v\/v**1)))))**(-2)*(v\/(v*v**(-2\/5)\/v)*v**(1\/7)\/v)\/(v**(1\/7)\/v**7) assuming v is positive.\nAnswer: v**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75\/4 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-6)*8\/(-40).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 648 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4) + 1\/2. Suppose s*t - 353 = -2*x, -38 - 58 = -t - 5*x. Suppose -5*a + t - 31 = 0. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12*(19\/1330*-3787)\/((-2)\/(-15)). Is b less than or equal to -4868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-5 + 1\/((-4)\/(-12))). Suppose 6*t = 8*t - 5*r + 12, -2*t - w*r + 16 = 0. Solve t*s = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -170*h**3\/3 - 902. Let z(r) = -8*r. Give z(o(s)).\nAnswer: 1360*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + 0.2. Let q be ((-1)\/(-1) + 1)\/2. Let h = q + 1. Sort v, h, 5 in increasing order.\nAnswer: v, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 2, y: 1, j: 1}. Give prob of sequence ylh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066942237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 4*c**2 + c**3)*(2 - 3 + 3)*(-10*c - 7*c + 5*c).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -11214?\nAnswer: -11206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20200 (base 3) to base 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n + 18*n - 3*n + 12*n**2 + 8. Is h(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 20*m**2 + 20*m + 24. Let k be b(21). Solve -7 = -k*s + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48942, -48954, -48980, -49026, -49098, -49202?\nAnswer: -49344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 851 + -849. Suppose -j*b - 2*f + 3292 = 3*f, 0 = 4*b + 4*f - 6572. List the prime factors of b.\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnsnesmffsfmefsnamnf. What is prob of sequence sn?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237769 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 79026 = -4*a, -2*a - a + u = -59259. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-927)\/36*(1 - 5) is divided by -2*(-3)\/(-45) + (-394)\/(-30).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1 + 1 - (7 + -6 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365, 610, 855, 1100?\nAnswer: 1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 14*x**2 - 23*x - 1. Calculate the least common multiple of w(10) and 13.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.84765 times -0.5?\nAnswer: 0.423825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 353, 4, 0.\nAnswer: 0, 4, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 2) + -5 - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -319, 1433, -0.7 in ascending order.\nAnswer: -319, -0.7, 1433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 1:35 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, b: 17}. What is prob of sequence bvbb?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/8*12\/9. Suppose -12 = q*z - 72. Let b = 291 + -183. Calculate the greatest common divisor of z and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1365 + 102?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*a + 64 = -43*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1988 and 8.\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 9*d**2 - 24*d - 42. Determine r(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-37) + 56\/(-1036)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 553*m**3 - 15*m**2 - 59*m + 9. Let k(b) = 277*b**3 - 7*b**2 - 26*b + 4. What is 9*k(p) - 4*r(p)?\nAnswer: 281*p**3 - 3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 3*u**2 - u + 3. Let j(v) = -5*v**2 + 5*v + 1. Let b(q) = -q**2 + q. Let r(c) = -6*b(c) + j(c). Give 2*a(i) - 6*r(i).\nAnswer: -2*i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -145096 - 237?\nAnswer: -145333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25201 and 19020672?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njjjnlxxjnjxjnjdjld. What is prob of picking 2 j and 1 x?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -10 - (709 + -699)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 11446778 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3390 + -566.\nAnswer: 2824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 3)*(-6*v + 4*v - 7*v) + v + 4 - 4 - 6*v + 0*v + 0*v)*(-v - v + 0*v).\nAnswer: -44*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-72)*(-120)\/126\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3952489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 3)*(-4*w + 0*w + 6*w)*(-4 - 2 + 3) as u + x*w and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/44 and (-1)\/(-7) + (-1257544)\/103936 + 12.\nAnswer: 20416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*a - 0. Let i(j) = -6 - 8*j**2 + j + 7 - 7. Let n(c) = c**2 + 1. Let q(k) = a*i(k) + 6*n(k). Determine q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + 13*s - 3. Give j(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 842, 1726, 2644, 3596, 4582, 5602?\n\"Answer: 17*b**2 + 833*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**3 - 16*k**2 + 7*k - 27. Let c(m) = 2*m**3 + 7*m**2 - 3*m + 14. Let a(q) = 7*c(q) + 3*h(q). Calculate a(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79422?\nAnswer: 2, 3, 7, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 19*k**2 - 188*k - 18. Let t be u(10). Solve z = -b + 9 - 8, -t = z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6670 and 725.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 27. Let o be p\/5 + 18\/30. Suppose 0 = 3*r + o - 23. Solve -3 = -5*x + r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -8*g - 3. Which is greater: -14\/23 or g?\nAnswer: -14\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*(-4)\/21*3\/(-2). Let n be 7 + 3 + f + -5. Let y(p) = -2*p**2 + p - 4. Let k(z) = -2*z**2 + z - 3. Determine n*k(q) - 2*y(q).\nAnswer: -2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*y**4 + 1585*y**3 - 2455*y**2 + 840*y = 0. What is y?\nAnswer: 0, 1\/2, 8\/7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.305 and -0.1.\nAnswer: -4.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 472791243 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*(216\/30)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 4:53 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4252+1391457\nAnswer: 1387205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6208 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 125 = 2*w - 232, 0 = -w + f + 189. Let p = -1299\/7 + w. Let z = -27 + 30. What is the third smallest value in z, p, -3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(1836\/4))\/((-2)\/(-4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3717, -15213, -34341, -61101, -95493, -137517?\nAnswer: -187173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -9*a + 185. Let v = 209 + a. What is the smallest common multiple of v and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2880 = -x, 22*b - 24*b = -2*x + 5760. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298933219?\nAnswer: 13, 17, 251, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23361480 - 2518*n**2 - 23361480 + (-1 + 2*n + 1)*(-4 - n + 4) + 0*n**2 - 3*n**2 + 2*n**2 + 3*n**2 - 2*n**2 - 2*n**2.\nAnswer: -2522*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 38*j**2 + 10 - 20 - 8*j + 9. Let h(i) = -114*i**2 + 25*i + 3. Let b(m) = -3*h(m) - 8*q(m). Find the second derivative of b(p) wrt p.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -877103.\nAnswer: 43855.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1400331 + 1103240?\nAnswer: -242041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -10*f**3\/3 - 14*f**2 + 26*f. Is a(-7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0466 or 222?\nAnswer: 0.0466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6b0 - -4?\nAnswer: -6aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9 - 2*m**2 + 3\/2*m - 1\/2*m**3.\nAnswer: -(m - 2)*(m + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/2 of a day?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*v - 25 = 0, -b - 2*v - 5 - 15 = 0. Let d = b + 64. What is the highest common factor of 594 and d?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sysyysy. What is prob of picking 2 s and 1 y?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18745 (base 9) to base 8.\nAnswer: -31311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 38\/7 of a week?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a + 4. Let f(p) = p. Let l(b) = 4*f(b) - s(b). Determine l(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1408 and 33184.\nAnswer: 1460096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140838.6ml to litres.\nAnswer: 140.8386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwdwwwwwrww. What is prob of picking 2 w?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 7\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**2*f**2*q - 7978*d**2*f**2 - 312*d**2*f + 25249197*d**2*q - 2*f**2 wrt q?\nAnswer: d**2*f**2 + 25249197*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/5*z**3 + 0 + 2*z + 3\/5*z**2 = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5641 is divided by 72.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8706989 millimeters?\nAnswer: 0.0000008706989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6904*f**4 + 22*f - 90.\nAnswer: 82848*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479870?\nAnswer: 2, 5, 47, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/32 + -55\/288. Which is the biggest value? (a) -1\/3 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 372*c**2 + 0 + 460*c**2 + 4 as r + g*c**2 + w*c and give g.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5102414 and 13818.\nAnswer: 750054858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 1\/2*y**2 - 12*y + 2\/3*y**3 - 1\/6*y**4 + 10. Let b = 2 - 4. Let g(p) = -2*p**2 + 5*p + 2. Give b*g(l) + 3*w(l).\nAnswer: -2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2, -2368264?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2))**(-1\/52))**(-32) assuming d is positive.\nAnswer: d**(-16\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 33769?\nAnswer: -540304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83939263, -167878528, -251817793?\nAnswer: -335757058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 3:42 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 74100 divided by -1900\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21840 divided by -2?\nAnswer: -10920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -6. Let v = 884 + -804. Let k be (v\/24)\/(2\/w). Solve f - 8 = -2*s - f, -4*s = -2*f - k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05596074507 less than 0.040489?\nAnswer: -0.01547174507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 48936336?\nAnswer: 48936335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (4 - (-1 - 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 791168630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1198 - -2317\/2. What is the common denominator of 51\/11 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -3, 253, 3\/2, 0.37 in descending order.\nAnswer: 253, 3\/2, 0.37, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 4*q - 15. Calculate t(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 1:38 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c = 8*c - 305*c + 4662 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009593 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 divided by -3?\nAnswer: 275\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298719, 597436, 896153, 1194870?\nAnswer: 1493587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*r - 44. Suppose z = 22*x - 20*x + 102, 0 = -3*z - 2*x + 314. Calculate the remainder when z is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31133010101 (base 4) in base 10?\nAnswer: -3535121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = j. Let x(r) = 3 + 5*r**j - 3 + 3*r - 4 + 0*r**2. Let b(f) = -4*f**2 - 2*f + 4. Let a(s) = 3*b(s) + 2*x(s). Differentiate a(z) wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/15 + 21356*n**3 + 4273708582*n**2\/5 - 97535591648*n\/3 - 166832921216\/5 = 0. Calculate n.\nAnswer: -80104, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.9586 litres in millilitres?\nAnswer: 397958.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4735, 9418, 14053, 18640, 23179?\nAnswer: 27670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 15*x + 12. What is r(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826 is divided by 817?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50538457 a multiple of 2070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -33*a**3 + 2*a - 2. Let u(d) = d**3 - d + 1. What is -q(i) - 2*u(i)?\nAnswer: 31*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 d when three letters picked without replacement from {f: 5, a: 1, c: 2, d: 5, h: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + (sqrt(112)\/sqrt(4)*4)**2 + sqrt(1792) + -1.\nAnswer: 18*sqrt(7) + 447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 33 = 105. Let f = v - -38. What is the remainder when 37 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-20 + 9 + 2 + 17) - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 4*s + 1, -5*s = -m + 4 - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-64)*(93\/27 - 3). Let s = 0.979 + 0.021. Which is smaller: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-150)\/(-5))\/(3 - 1). Solve 6*j + 5*k = j - x, 0 = j - 3*k + 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + -10b5?\nAnswer: -10c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-28) - (-15)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, -553.\nAnswer: -553, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 30*g + 192 = 0. Let c be (-12)\/g - ((-16578081)\/6)\/(-9). What is c rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65749899 a multiple of 419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.6 + 113.4. Let z = y + -135.7. Let s = z + -0.3000278. What is s rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 897.6993 kilograms?\nAnswer: 0.8976993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 1, b: 1}. Give prob of sequence ys.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 2 - f**3 + 0*f**3.\nAnswer: -f**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17506*g*t**2*y**2 - 3*g*t*y + 25*g*y**2 - g*y + 1570*t**2*y wrt y.\nAnswer: -35012*g*t**2 + 50*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -11*z - 5. Let p(x) = -18. Let k(g) = -5 - 139*g + 3 + 3 + 138*g. Let m(t) = -12*k(t) - p(t). What is 6*b(v) + 5*m(v)?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9700481 - 4189759 = 39*s. What is s rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.88 rounded to the nearest integer?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 670447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 122 = -3*f - 117, 2*f - 3*j - 2 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4467875 to the nearest one thousand.\nAnswer: -4468000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 176220 divided by 990?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.2 + -4.8. Let n = h + 17.9. Let t = -5 + 10. Which is the third smallest value? (a) n (b) t (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19749 (base 10) in base 7?\nAnswer: 111402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-2) - 1)\/(-1). Let g(b) = b - 8*b**2 + 0*b + 38*b**2. What is the tens digit of g(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -638 = -5*r - 4*y - 627, -r = 3*y - 11. Put 3, 53, r, 2 in descending order.\nAnswer: 53, 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 4*t - 144 = 0, 22*l - 200 = 31*l + 5*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 780\/272 - 18\/(-72)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 775, -19, 4.\nAnswer: -19, 4, 775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 1 = -8*z. Let m(n) be the third derivative of 1\/120*n**5 - n**2 + 0*n + 0*n**z + 0 + 0*n**3. What is v in m(v) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-90)\/(-72)*12*1\/9 + -1. Let y = 0.2 - 0.1. Let j = y - 1.1. Sort 1, j, -1\/4, o in descending order.\nAnswer: 1, o, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 - 108. Let q(n) = 57 - 35 - v*n + 21. Let t be q(19). Solve 2*m - 3*m = 5*f - 30, m - 2*f = -t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 4593832*f**2.\nAnswer: 4593832*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27591547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -77c74 - -109?\nAnswer: -77b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2 + 2 = -3*h, -2*h - 5*v = -14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1786 and 1634.\nAnswer: 76798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*634065\nAnswer: 317032.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.52619 + 2489\nAnswer: 2489.52619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 75939*h + 75938*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(1*(-4)\/2). Let q be (l\/(-4))\/((-2)\/14). Let s(z) = z**2 + z + 2. Let n be s(-3). Solve 5*r = q + n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-856)\/27072)\/((-10)\/(-3426)). Let m = p + -1\/1880. Is -11 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-462))\/(4\/(-8))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 626, -6, 0.248?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/(91\/70*-4)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 2, 6 in ascending order.\nAnswer: -9, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -0.4, -0.1, -0.016?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-92)\/184)\/(2\/(-4)). Suppose -k - 4 = -3*k. What is the greatest common divisor of k and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:15 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*f + 35, 0 = -2*v - 74 + 84. Suppose -5*z = -2*x + 25, 3*x - 2*x - z - 14 = 0. Suppose -2*j - 3*j = x. Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (3 + -2 - -16 - 4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 124*n - 901. What is j(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1\/5)\/d)*d*d**(-6))\/(d**(3\/8)*d\/(d*d*d**(-1\/7)*d*d))*(d**6\/d**2)\/(d**(-2))**(-1\/4) assuming d is positive.\nAnswer: d**(891\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24\/11 + -159\/88. Let w be 2\/4 + -3*(-9)\/(-66). Put -2\/9, w, 4, r in decreasing order.\nAnswer: 4, r, w, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/11790 and -127\/108.\nAnswer: 70740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7662 + -7661.989077. What is i rounded to four decimal places?\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**4 - 356*h**3 - 580*h**2 + 9924*h - 14616 = 0.\nAnswer: -87, -7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = -0. Let j be (3 + c)\/(18\/45). Suppose -2*l - j = 0, -2*x - 5*l + 853 - 40 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14803843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17223*i - 15 = -17218*i + 3*z, 4*z + 15 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.282 times 1.2?\nAnswer: 0.3384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u + 490. Let f be 3\/(-9) + 12480\/18. Let g = f + u. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 7*r - 40 = -5*i, 0 = 4*r + 4*i + 64. Let j be r\/((-14)\/70 - (-26)\/(-20)). Sort j, -1, 18 in increasing order.\nAnswer: -1, j, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 1, 1\/11, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265680 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 876\/132 - 21 - 8\/(-22)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0109256134 rounded to 6 dps?\nAnswer: 0.010926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 - 1 - 11*q**2 + 8*q**2 + q + 1 to p*q + t*q**2 + j*q**3 + y and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 25260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00407643 to seven dps.\nAnswer: 0.0040764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a day in seconds?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17841939?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3 + 664*a**2 + 3922*a + 3260 = 0. Calculate a.\nAnswer: -326, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 12*k**3 + 0*k + (k**3 + 0*k + 0*k)*(1 - 5 + 1) + 72 - 16*k**3 - 72 in the form f + c*k**2 + p*k + s*k**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32377.\nAnswer: 32377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*0 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/54 and 23\/114?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3684.5 from -25786.\nAnswer: -22101.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*o + 1346, 7*o = 9*o + 4*t - 544. Does 40 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2186 + 4d6?\nAnswer: 267c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 17*p - 8. Let c be ((-22)\/(-4) - (-10)\/(-10))*-2. Let h(v) = -4*v + 2. Calculate c*h(f) - 2*u(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) 184\/7 (b) 0.04 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -332\/9 - -3097\/72. What is the common denominator of u and -71\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(54)\/sqrt(24)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 5*n = -445. What is the remainder when 63 is divided by n\/(-4) - (-1)\/(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67204727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 9\/2*l + 3\/2*l**3 - 6*l**2.\nAnswer: 3*l*(l - 3)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 2516.\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.8 and 100390484537.\nAnswer: 100390484539.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221102 (base 5) to base 6.\nAnswer: -55232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0047 + 0.00470535. What is n rounded to 7 dps?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**4 - 163396*w**3 + 980500*w**2 - 817148*w - 1961040 = 0.\nAnswer: -40855, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, j: 3, k: 3, t: 3, y: 2}. Give prob of picking 1 t, 2 k, and 1 y.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21418 less than -0.0034158?\nAnswer: -0.2175958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*b, 0*b - 9 = -3*n - 3*b. Solve 0 = 3*r - r - n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (6 + 0 - (-183 + 186)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1431066416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 12, 43, 98, 183, 304, 467, 678?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 5*m**3\/6 - 2*m. Suppose -2*v + 2*j = -4*v, 5*j + 18 = 4*v. Give b(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**2 + 6*m + 2. Let x be s(0). Solve x*f - 5*l - 3 = 0, -f = -6*f + l - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*m - 60, -4*m + 2*m = -4. Let h(y) = -y**2 - y + 5. Let k be h(0). Solve -4*c - o = -3*o + q, k*c = -5*o - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**2 - 5 - 4*n**2 - 2 - 2 wrt n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**8\/84 + 2*a**7\/105 + 19*a**2. Suppose n(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 6*b + 3*b - 122 + 4*b in the form g + a*b and give g.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 0*t - 7*t**2 + 1\/14*t**4 + 0 + 1\/490*t**7 + 0*t**3 - 3\/280*t**6 + 0*t**5. Find f, given that u(f) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -281 + 268.44. Round p to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10925 and 446177.\nAnswer: 11154425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:57 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-684))\/2*-1. Are a and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 2940?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -252 and 0.9.\nAnswer: -226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 251.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25998?\nAnswer: 2, 3, 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*v - 5*v**3 + 2007 + 20*v + 2082 - 4089.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 13*w + 7, -2279*w + 2276*w + 3*m + 87 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*u + 618, -4*h = -4*u - 319 - 513. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160024 and 1487028.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -75054.\nAnswer: 1\/75054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 1\/5 (c) -15.6 (d) 6 (e) 3 (f) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1032?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29891, -29892, -29893, -29894, -29895, -29896?\n\"Answer: -y - 29890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6440*c*q*r**2 - 4*c*q - 7*c*r**2 + 2*q*r**2 + 18235*q*r - 2*q wrt c?\nAnswer: -6440*q*r**2 - 4*q - 7*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**4\/6 + 43*w**3\/6 - w**2 - 15*w. Let k be t(-10). Solve -2*m + k*d - 19 = -m, -m + d = 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(114)*5)\/((sqrt(18) + (sqrt(18) - sqrt(162)) + sqrt(18) - sqrt(18))\/sqrt(3) + sqrt(18)\/sqrt(3)*2).\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 + 0.046. Let q = l - 0.08. What is q rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31210320 - 130012?\nAnswer: 31020302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 191536330555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2965735 - -1?\nAnswer: -2965734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 17*u**2 - 14*u + 10. Let x be r(16). Suppose x*c = 39*c + 465. What are the prime factors of c?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46736*l**2 - 39625 wrt l.\nAnswer: 93472*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*k - 64, -4*f + 5*k + 138 - 41 = 0. Let g be (4 - (-3 - -6))*-1. Put g, 1, f in descending order.\nAnswer: f, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0 (c) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-20)*56\/(-16)*(-83)\/(-581)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 19. Solve -4*l + 6*l - 6 = y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khqrhkqkhhhqqg. What is prob of picking 2 q?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 25 and -44.4.\nAnswer: -19.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40955 is divided by 61?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -79*i - 1. Suppose 0*f - 5*f = 10. Is h(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2)\/(2*4*(-141)\/25944).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36803 + 36807. Suppose 5*b + 23 = 123. Solve p - u*y = -7 - 10, p = 5*y - b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 393440 divided by 10.\nAnswer: 39344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*y - 7. Let j = -119\/657 + -3\/73. What is the second biggest value in y, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*f - 2*h, -5 - 7 = -f + 3*h. Let b be (-125)\/3 + (-1)\/3. What are the prime factors of (-3)\/(9\/b) + f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*i*p**3 - 5*c**2*i*p**2 - 2*c**2 + c*i*m*p**2 - 2*c*p**2 - 59*i*m*p**2 + 2*i*p**3 - 3*i + 69502*m*p**3 - 2*p**2 wrt p.\nAnswer: 6*c**2*i + 12*i + 417012*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3040\/17680 + (-36)\/(-612).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 t, and 1 g when three letters picked without replacement from ttttfngggnnltwngtnfg?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 7) in base 8?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 60*x - 950. What is the smallest common multiple of i(22) and 110?\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2967, 6\/5, -24 in descending order.\nAnswer: 6\/5, -24, -2967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -b + 44843 - 44846, -15 = -5*y for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 - -119. Suppose -3*c = -o*q + 58, -48 = -4*q + 4*c - 2*c. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpnneepivvncncei. What is prob of picking 2 n, 1 i, and 1 p?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 78, 141, 310, 639, 1182?\n\"Answer: 9*l**3 - l**2 + 3*l + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 plus 0.020283?\nAnswer: 0.150283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40571914 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = -3. Let m(y) = 10*y - 5. Let w(i) = i**2 - 8. Let c be w(-3). Let h be m(c). Solve -h*g - 25 = -n*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.11, 0, 4\/7, 895.5, 0.3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 2. Let m = -170 - -175. What is w(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p - 16. What is j(12)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57440\/140728*14\/60?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 285029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26351 (base 7) in base 10?\nAnswer: 7043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 18*h + 36. Let f be o(-20). Put f, 29, -2 in descending order.\nAnswer: 29, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*u - 7*u + 55, -80 = -5*u + l. Calculate the highest common divisor of 10 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5, 14, 16173.\nAnswer: -1, 0, 5, 14, 16173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -0.066, 0, 0.1.\nAnswer: -19, -0.066, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 5*r - 1. Calculate m(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.956 + -0.016. Let x = j - 0.84. Sort 4.7, x, 0 in ascending order.\nAnswer: 0, x, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2203338060 + -5?\nAnswer: 2203338055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 5*s + 0*s + (-34 - 42 - 188)*(-2*s - 18*s + 8*s) as v*s + q and give v.\nAnswer: 3170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/6)\/((-1)\/(-8)). Suppose -2*k + y = k - 7, -u*k + 36 = 4*y. Let t be (2 + 0)\/(k\/(-6)). Sort 0, 1, t in increasing order.\nAnswer: t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2. Let r be n*(-4)\/16*0. Suppose 2*s = 5*v - 0*s - 32, 4*v + 2*s - 22 = r. What is the least common multiple of v and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5 = -1602*v + 1605*v - 28, 2*o = -4*v + 42 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126718 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j - 2 + 4 + j**2 + 1. Let t be l(4). Suppose 12 = 3*f - t. What is the remainder when 9 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-232)\/28)\/((-8)\/28). Suppose -257 = -19*q - p. What is the remainder when 34 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -123.821 - -124. Let z = 4037.521 + -4056.5. Let f = t + z. What is f rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*(-168)\/105.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 495 + -338. Let l = 158 - x. Let t be 12\/(-5) - (-2)\/5. Which is the closest to l? (a) t (b) -5 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + 420 - 4*j**4 - 428 - 2*j + 0*j**4 - 2*j**4 as v*j + a*j**3 + m*j**2 + l + q*j**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 3*q**4\/2 - 15*q**2\/2 + 15*q + 1103. Let z(f) = f + 1. Let r(x) = -2*x - 3. Let t(a) = -2*r(a) - 5*z(a). Give h(m) - 15*t(m).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/5 + 747*v**4\/5 + 17689*v**3\/5 + 16193*v**2\/5 - 17688*v\/5 - 3388 = 0. What is v?\nAnswer: -22, -1, 1, 770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14314 + 2?\nAnswer: -14312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - l + 15 + 30, 4*m - 60 = -4*l. Solve j - 4*d = 6, -3*j - m = 5*d - 3*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21358 or -1153297\/54?\nAnswer: -1153297\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3145355070 - -3145354861.0000237. Let b = m + 209. What is b rounded to 6 dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6975*b - 453379. What is a(65)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, -24, -54, -96?\n\"Answer: -6*h**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -13. Let w be 2 + (3 - b - 3) + 2. Suppose -y = -4*j - 23 - 93, -w*j = 2*y - 232. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116352.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2250 = -8*q. Suppose 5*g - 1838 - 404 = 3*a, -g - a = -q. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 24*x**2. Let b(v) = 971*v**2 + 939*v**2 - 1839*v**2. Calculate s(b(f)).\nAnswer: 120984*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 41 - 5. Let h be u\/(-16)*(-6 + -2). Suppose 2*o = h*o - 56. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 13*f**2 - 202*f + 2572. Determine d(13).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -118 + 130 - (9 - (3 + -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -5. Let i be -9*(v\/(-6) - -2). Suppose -2*t - 78 = -4*b, -2*b + i*t + 16 = -21. Solve -b = -m - 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0 - 7\/60*g**5 + 0*g + 3*g**2 - 1\/8*g**4 - 1\/15*g**6 + 7\/6*g**3. Is q(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.01, -0.1, 2 in increasing order.\nAnswer: -0.1, 0.01, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 210*r**2 - r - 208*r**2 + 0*r**4 + 3*r**4 + 2 + r**3 as v*r**2 + u*r**4 + c*r + m + f*r**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3559164 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -302*l - 296. Let g be d(2). Let y = g - -902. Let q = 3 + 0. Solve v = -4*u - 10, 3*v + q*u + 16 = -y*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdgggzdhghghzghgdehz. Give prob of picking 1 z and 3 h.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let s(c) = -3*c. Let k(w) = 4*o(w) - s(w). Let v(p) = -2*p - 4. Let d(u) = -u - 1. Let a(z) = -4*d(z) + v(z). Give 22*a(t) - 6*k(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 16.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**3\/3 + 5*k**2\/2 + 2*k - 1. Let z be g(5). Let o = 25 - 27. Put 3, z, o in increasing order.\nAnswer: o, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5442 and 480?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -10*k**4 - 23*k**2 - 163*k + 7. Let u(v) = 7*v**4 + 15*v**2 + 109*v - 5. Let q(h) = 5*n(h) + 7*u(h). Find the second derivative of q(p) wrt p.\nAnswer: -12*p**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -8. Let w be 0 + -1 + 10\/8. Which is greater: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1006509 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7339 + -5?\nAnswer: -7343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 2*i**2 - 4*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/15, 2, -0.7, 3\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 12. Let n(h) = -h**2 + 8*h + 8. Let r be n(9). Let u be 3\/(-9) + r + 1. What is the closest to m in 3, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**3\/3 - 5*j**2 + 7*j + 11. Let s be o(9). Sort -1\/2, -14, s.\nAnswer: -14, s, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/576 and -33\/16.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**4\/3 - 6*z. Let m(v) = -2*v. Give p(m(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 148\/308 + (-102)\/(-42) + -3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 - 4.8. Let r = 4.9 + k. Let q = -1.8 + r. What is the closest to -0.1 in -4, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.02, -1, 0, 0.471, 139?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 970271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 805163 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5567 + -12?\nAnswer: -5579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 + 322. Let k = 432 - x. Does 46 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(sqrt(72) + -1) + 5)**2.\nAnswer: -72*sqrt(2) + 2593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*q + 4*q + q)*(0 + 3 - 6)*((8 + 4 + 15)*(-4*q + 4*q + 3*q) - 2*q + 2*q - q) to the form v + c*q + x*q**2 and give x.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynnnnyntnnyynyynnyyn. What is prob of picking 4 n?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*f - 51 = -9, 0 = -a - 3*f + 14. Let s(j) = 10*j + 314. Let i be s(-9). Calculate the highest common factor of a and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 45 - -2) + 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -39*b**2\/2 + 1. Let j(u) be the third derivative of 1\/60*u**5 + 3*u**2 + 0*u + 0*u**4 + 0*u**3 + 8. Give j(a(v)).\nAnswer: 1521*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 59*n + 22. Is v(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) + sqrt(14))\/sqrt(7) + (sqrt(2)*2*-5)**2.\nAnswer: 4*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -26478*5\/((-90)\/48). Suppose 5*u = 6*r - 2*r - f, 3*u + 2*r = -42356. Round u to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -77087 or 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19439.\nAnswer: 7, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 8. Suppose 5 = p*j - 5. What is the greatest common divisor of 14 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 3*h**2 + h - 3. Let p be s(5). Let d be (-3)\/6*(p - 2). What is the units digit of d\/(-2)*(1 + 33\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.57598 to three decimal places.\nAnswer: 0.576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -623*t**2 + 365*t**2 - 207*t**2 - 720*t**2 - 271*t**2 to a + s*t**2 + y*t and give s.\nAnswer: -1456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 1. Let v(l) = -11*l**2 + 8. Let i be 2 + (-14)\/4 + 42\/(-28). Calculate i*v(j) - 24*r(j).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12884 by 4.\nAnswer: -3221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/131 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 6*a**3 + 8*a**3 - a**3 - 37 as z*a + c*a**2 + q*a**3 + f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*o - o = -2, -18 = -3*v + 3*o. Let q(t) = -5*t**2 + 4*t**v + 0 + 2. Let w be q(0). Solve 0 = -y + 3*m, -w*m - 3*m + 8 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -130198777 from 2.\nAnswer: 130198779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53425 is divided by 109?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 5*v + 0*v - 1 - 3*v + 1 + v + 2 - 2 + 2*v + 4*v - 4*v + 4*v - v - 2*v + (5 - 6 + 2)*(4 - 4 + v) + 3 - 3 - v - 2 + 2 - 4*v)*(-6*v + 2*v + 2*v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 367243549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1890 divided by 210.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -6 + (-6 - -13). Let g(k) = -3*k + 74. Let c be g(22). Sort 5, z, c in descending order.\nAnswer: c, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77270766 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*r - 3*r + 4*r)*(0*r + 3*r - r).\nAnswer: -2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2209050 - 1209050. What is k rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 5, 4, 0.4, 466\/29, 2\/13 in decreasing order.\nAnswer: 466\/29, 6, 5, 4, 0.4, 2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-3 + (-192)\/(-88))*(-78)\/(-9)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110705.1t to grams.\nAnswer: 110705100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*n + n. Solve 0 = -3*h - n*k + 14 + 4, -2*h + 6 = -k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 < 88226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11601*a**3 - 3*a**2 + 43*a - 9 wrt a.\nAnswer: 69606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 468\/(-6) - (-8)\/(-2). Suppose 0 = -74*k + f*k - 15423. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.038, 0.6, -2, -4, 3\/35?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 10:12 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 137667 + -137648. Let r(q) = -q**2 + 8*q - 9. Let z be r(6). Let m = 14 - 10. Solve p - 3*f + l - m = 0, -z*f = -4*p - 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-6) - 1)\/(((-1536)\/(-72))\/(-64))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/13 + 1234*i\/13 + 6220\/13 = 0 for i.\nAnswer: -5, 622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from dsgggsdwssdsg.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26563002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exbxm. Give prob of picking 1 x, 1 b, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-16))**(2\/55)\/(b\/(b*b\/(b\/(b*(b*b*b*b**(-15)*b)\/b))))**42 assuming b is positive.\nAnswer: b**(-25442\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 189.11 + -181.5. What is q rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + 0.38. Let r = 0.39 - w. Let o = r + 0.0204. What is o rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/5 - 394*k\/5 - 396\/5 = 0. What is k?\nAnswer: -1, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xppzzqpcvcqvzxpv. Give prob of sequence xcx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a millennium in years?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 3:01 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1864671.\nAnswer: 3, 29, 21433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.0160249 and 0.04.\nAnswer: 0.040640996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130100213202300 - -11?\nAnswer: 130100213202311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*i**3 - 48*i**2 + 48*i**2.\nAnswer: 198*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-6) + 7)*34?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)*3)**2 - -3*(0 + sqrt(7)).\nAnswer: 3*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16943972 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7))**(2\/21)*d*d**10*d\/(d\/(d**(-4)*d)) assuming d is positive.\nAnswer: d**(1172\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 6*z**2 - 153*z + 11. What is the remainder when q(16) is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*h - 24, h - 1 = 3. Suppose -g*a = -a + 18. Put 4, 0, a in ascending order.\nAnswer: a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4*(-16)\/(-4). Let j be -26 - (3 + -1 + -3). Let r = g - j. Calculate the remainder when r is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 16, -2, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64593.\nAnswer: 3, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 10:11 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - 3*n**2 - 2*n**2 - 1 - 9*n. What is the remainder when 9 is divided by d(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + 3*r + r)*(12*r - 2*r - 3*r)*(-1 + 4 - 2) + (4*r - 2*r - r)*(0 + 0 + 4*r) as o*r + b + h*r**2 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 4932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26 + (5 - 27\/3). Suppose m*o = 18*o + 276. What is the remainder when o is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 30*x**2 - 3*x + 1. What is the units digit of v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8725874?\nAnswer: 2, 809, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 178599 divided by -37?\nAnswer: -4827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.1163168 to 1 decimal place.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 182315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16016310 is divided by 706?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 2101?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/(-814) - 39\/(10101\/(-14))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - -20. Let j = o - 94.2. Let u = j - -51. What is u rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1300 and 4420.\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(325)*-3)**2 - (-1 + sqrt(325)*3)) + ((sqrt(325) + (1*sqrt(325) - sqrt(325)) + -5)**2 + sqrt(325) + 0 + 2)*5.\nAnswer: -240*sqrt(13) + 13461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**(-8))))\/(j**(-3)*j)*(j*j**(1\/3))**(-17) assuming j is positive.\nAnswer: j**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1359628, 5438507, 12236638, 21754021, 33990656, 48946543?\nAnswer: 66621682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48445?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -18 + (-3 - -12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/166 and 5\/3.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-84)\/8 - -14)\/((2\/(-2))\/(-10)). Solve -a = 4*u + 3*r, -r = 3 + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-9))\/(38 + 1020\/(-27)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1247)\/43*(-2)\/(-29)*-1*28.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002427793 to five dps.\nAnswer: -0.00243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*c*h*x**2 - 108*c*h + 54*h*x**2 + 2*h*x - 3*x**2 wrt c?\nAnswer: -12*h*x**2 - 108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b*n*q + 116*b*n + 4*b*q - n*q + n - 13401 wrt b?\nAnswer: -5*n*q + 116*n + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + 5*o**2 - 5*o**2. Let v(h) = h**2 + h**2 + 0*h**2. Determine f(v(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m = 39823 - 39291 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 141*t + 25672. Give i(-184).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 45336 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2*g**4 - 3 - g**4 + (26*g - 26*g - 9*g**2)*(1 + 2*g**2 - 1) in the form t + v*g**4 + f*g + x*g**3 + q*g**2 and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2099, 4190, 6279, 8366, 10451, 12534?\n\"Answer: -k**2 + 2094*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 361, -41, -705, -1625, -2795, -4209, -5861?\nAnswer: -7745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 12 + 0 = u, 5*u = 5*r - 30 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = -x. Suppose 4*a - 5*g = -a + 45, -3*g = x. Calculate the remainder when 14 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.06548 millennia to decades.\nAnswer: 806.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 - 2*v - 2. Let l(b) be the first derivative of 5*b**4\/2 - 7*b**2\/2 - 7*b - 5. Give 21*c(d) - 6*l(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 3. Let c(t) = -13. Let b(n) = -4. Let m(o) = -7*b(o) + 2*c(o). Determine 4*m(u) + 3*s(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, 1437702.\nAnswer: -8, 3, 1437702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -33*l**2 - 1. Let s(b) = 1515514*b. Calculate z(s(m)).\nAnswer: -75793828578468*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16241.\nAnswer: 109, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 + 20 - 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -238? (a) -0.1 (b) 118 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 182 - 60. Suppose -5*t - 340 = 5*r, 2*r - t = 4*t - w. Let l be 12\/r + (-2)\/(-11). Which is bigger: -3\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (10 - 16 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6067404 and 4?\nAnswer: 6067404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 22*b**2. Let v(p) = -796*p - 78. Calculate v(o(d)).\nAnswer: -17512*d**2 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 27 = g, -5*g - 2*w + 55 = -6*w. Is g >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 480 divide 495281280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -265\/6 + 1499\/34. Let d = -19\/408 + v. What is the biggest value in -1\/5, d, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 548*y**3 - y**4 - 274*y**3 - 273*y**3 + 7 - 4*y**2 in the form d*y**2 + z*y + a*y**4 + w + n*y**3 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41640 = 2759*y + 67839 + 61887 + 58141 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19211 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -21*x**3 - 141*x**2 - 168*x + 60 = 0.\nAnswer: -5, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1021, -3994, -8929, -15826, -24685?\n\"Answer: -981*h**2 - 30*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -16 - 72. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 55?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 882198816 to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 122046 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.1. Let j = -4 - -6.4. Let s = 2 - j. Which is the nearest to -1\/2? (a) s (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011111001 + -1101110000?\nAnswer: 10110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -26.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 5.3?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.069144971 and -0.1.\nAnswer: -0.0069144971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -46 * 0.047\nAnswer: -2.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -48116.3\nAnswer: -192465.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, 4, -46, -378.\nAnswer: -378, -117, -46, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/1507 and 62\/493093825.\nAnswer: 5424032075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -4.2 (c) 2 (d) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**2 - 6*w**2 + 3*w**2 + 4*w**2 - 167 + 4*w + 2*w.\nAnswer: -10*w**2 + 6*w - 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d + 7. Suppose 101*u - 5*i - 28 = 98*u, 0 = 5*u + i. Let n(p) = -p. Give u*n(m) - x(m).\nAnswer: 2*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/18)\/((-97)\/(-194)). Which is the nearest to -0.2? (a) 1 (b) -3 (c) y (d) 0.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = n + 407, -n + 4*n - 3*z = -1215. Suppose 2*m + m + 6 = 0. Is 2\/((-812)\/n + m) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-346\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -451, -1538, -3653, -7138, -12335, -19586, -29233?\nAnswer: -41618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1047988 and -19\/4268?\nAnswer: 11527868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 258831 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + -16 + 12 + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0035172 and -6.3619.\nAnswer: -6.3583828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -17*a. Let f(j) be the second derivative of 13*j**3\/6 + 3*j - 22. Determine f(o(c)).\nAnswer: -221*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from klaekgellwel?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56420 divided by 1612.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 667 - 38.\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*p + 1072*p - 3382*p - 12924*p.\nAnswer: -14947*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13235*u - 13234*u - 72*d + 139 = 0, u - 4*d = 3*u - 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.37 and -1.35803.\nAnswer: -0.98803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -221100 (base 4) in base 3?\nAnswer: -10121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 15*r + 221. What is o(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l - 172. Calculate the remainder when k(35) is divided by 36\/(-60) - 166\/(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140653583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 520478357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18296 divided by 5224.\nAnswer: -2287\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, 4, 6, 296, 3, -3, -4.\nAnswer: -157, -4, -3, 3, 4, 6, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 122\/4 - 5\/10. Suppose -a - 2*a - z = 0. Let s be (-4)\/a + 39\/15. Solve -s*d = -3 - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1617845 to the nearest integer?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*s + 9 = 93*s. Let t be s*((-36)\/(-6) + 71). What is the greatest common factor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311 (base 6) to base 8\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 226991413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltl when three letters picked without replacement from lltlttltttllllltttt.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2)*1482\/(-171). Solve -5*i = -2*a, i = -0*a + 3*a + v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 15860 = y, -5*j + y = 4*y - 39650. Suppose -6*t + j + 7130 = 0. Suppose -8*f + t + 1386 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -142845d - 0?\nAnswer: -142845d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59916931.\nAnswer: 43, 1393417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/990 and 85\/1008?\nAnswer: 55440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7452*m + 67067. What is f(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1851, 3707, 5563, 7419, 9275?\n\"Answer: 1856*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353, -710, -1069, -1436, -1817, -2218, -2645?\nAnswer: -3104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -110110 (base 2) to base 5\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-11)\/8*344. Let k = q + 214. Suppose k = 4*r - 4*m, 5*r = 3*m - 2*m + 1454. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31013 - 2?\nAnswer: 31011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 6 - 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:58 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*b - 73, 6*b + 6 = 3*b. Let j = -63 - z. Let l(o) = -j + 34*o + 6*o**2 - 34*o + 0. Let h(q) = q. Calculate h(l(f)).\nAnswer: 6*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 10428598.\nAnswer: 73000186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 + -97. Find the third derivative of 6*g**l + 41*g**3 - 154*g + 154*g wrt g.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*r = 291*r - 904. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(137\/(-46) + (1 - -2)) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.2 + 11.1. Let z = 4.92 + -5. Let r = z - s. Put -1\/5, r, 4 in increasing order.\nAnswer: -1\/5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 246745526 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57396, 229508, 516362, 917958, 1434296, 2065376?\nAnswer: 2811198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/201*(-2)\/(-2). Let k = -23\/25883 - 6382314\/12139127. Let i = n + k. Is 0 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 1. Let t(b) = b. Let k(c) = -c**3 + c**2 + 2*c - 3. Let w be k(-2). What is w*t(n) - x(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 10*b**2 - b + 30. Calculate the smallest common multiple of 26 and x(10).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106935115?\nAnswer: 5, 7, 103, 29663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.93 + 23. Let n = -0.17 + m. Put -4, 0.3, n in decreasing order.\nAnswer: 0.3, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0040551 to four dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.4, -5, 1, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/531 and -1\/45.\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 24999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 28 = -4*j, 4*d + 24 = 5*j - j. Suppose -2*v + 86 = 2*t, 0*t = -j*t + 8. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5834 plus -0.1266609157?\nAnswer: -7.7100609157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 - 276*v\/7 - 290.\nAnswer: 2*(v - 145)*(v + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0 + 11*k - 7 - 3*k wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (96\/(-64))\/((-1)\/10*3). Solve 4*r + 0*r + 12 = z, -r = g*z + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15, -79, -143, -207?\n\"Answer: -64*i + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*j - 5679 + 2693 + 2349 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**2 - p - 2. Let f(d) = -20*d**2 - 4*d - 9. Let w(c) = -4*f(c) + 18*m(c). What is the second derivative of w(y) wrt y?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1560, -1576, -1648, -1806, -2080, -2500, -3096, -3898?\nAnswer: -4936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1326, 1325, 1324, 1323, 1322, 1321?\nAnswer: 1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 0 + sqrt(11) + 1 - ((sqrt(11) - sqrt(99))*1 + sqrt(11)).\nAnswer: 1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23 - 23 - 13*n + (5*n - 3*n + 0*n)*(-1 + 0 + 3).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 70*p - 5. Let r be o(4). What is the greatest common factor of 25 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32212260 + -5?\nAnswer: -32212265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 14*n**3 - 4*n**2 - 17*n. Is v(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -743*y**3 + 1526*y**3 + 0*y + 45*y - 45*y + 996*y**3.\nAnswer: 1779*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((18285\/106)\/(-23))\/((-2)\/((-20)\/3))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8*f**3 + f**2 - f - 1. Suppose 14 = 9*x - 2*x. Is i(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20238 divided by -6.\nAnswer: 3373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6208170778 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-3 + 3 - 2*k)*(-8 - 2 + 2).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Suppose -16*m + 503 = 151. Calculate the highest common factor of y and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = -a, 4*a - a = 5*h - 8. Let g(f) = -f**3 + 4*f**2 - 2*f + 13. Let v be g(a). Solve -v*d + 4 = -6*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 6*m - 5*h - 25 + 8, 52*h + 166 + 44 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.0401007 - -24.04. What is d rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*d + 47. Let g(z) = 50*z - 294. Let n be g(6). Let h(u) = -5*u - 6. Let y(j) = 9*j + 11. Give d*h(o) + n*y(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*s + 7*s - 497, -5*s = -4*b - 504. Let c(g) = 26*g**2 + 2*g + 1. Let k be c(-1). What is the greatest common factor of s and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 23*y + 81. Give v(-6).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.3. Let l = 48 + -45. What is the nearest to w in -0.4, l, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.2 + 20.2. Suppose -12 = -5*j + 3*k, 3*j + 5*k - 12 = 2. Let s be (-12)\/(-20)*(-2)\/3. What is the nearest to 2 in j, s, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 8*k**2 + k + 4. Let j be p(-8). Let g be 744\/18 - j\/6. List the prime factors of (g\/8)\/((-6)\/(-16)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = 2. Suppose -4*k + 2*v - v = -l, -2*v = -3*k. Find the third derivative of -k - 6*y**2 + 2 - 4*y**4 wrt y.\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 202 - 133. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 85, 72, 59, 46, 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 771 and 83011257?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*q - 9 = 4*q, 4*q - 45 = -5*o. Suppose j + f = -4*j + 79, 4*j - 66 = 2*f. Solve -t - j = -o*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from xwcevxwceewkxexwvecx.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - 5*q**2 + 41*q**2.\nAnswer: 41*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 17*d - 26. Let t be o(-12). Let f be 0 - (2\/11 + t\/55). Which is the closest to -0.2? (a) f (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -51, -133, -257, -429, -655, -941?\nAnswer: -1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + sqrt(117) + -1 + sqrt(117) + (sqrt(117)*2 + 3)*-6)**2.\nAnswer: 900*sqrt(13) + 11925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1013*v + 54*v**2 + 497*v - 43*v**2 + 516*v.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 120. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**5\/40 + l**4\/3 - 95*l**3\/12 + 75*l**2\/2 + 54*l + 2. Factor y(c).\nAnswer: (c - 5)*(c - 2)*(c + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from jvcnc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 620123 + -620123. Let s = 2961 - 476719\/161. Which is bigger: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 14*p**2 - 66*p + 1103. What is the thousands digit of h(24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 650 - -79.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-56 - (-9 - 11)) + 14)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/((21\/18)\/(-7)). Let c = o - -70. Calculate the least common multiple of 12 and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2 + 16 + m + 1. Let k = 316 + -331. Let r be n(k). Solve -2*g = 2*z - 10, 5*g - 16 = -r*z + 4*z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3)*-4)**2 - (sqrt(300) - (sqrt(300) - (0 + sqrt(300))))**2.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a42b (base 15) to base 14.\nAnswer: -ca988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 77*a - 65*a - 2*a - 5*a - 5*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 155608451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 3*h**2 + 3*h + 3. Let i be s(4). Suppose 3*w = -0*w - 6. Sort i, w, -5.\nAnswer: -5, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 18733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -35\/24098?\nAnswer: -35\/24098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5470 + -2976. What are the prime factors of o?\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f - 14*f - 2*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 10*h**2 - 3*h + 31. Let c be g(9). Let k(u) = -1 + 8*u - 2 - 87*u**3 + 6*u**2 - c*u**3 + 173*u**3 - 1. Give k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 3*y + 1. Let o(b) = 10*b**3 + 20*b**2 - 9*b - 4. Calculate o(a) + 4*x(a).\nAnswer: 2*a**3 + 20*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*z - 29, 3*v + 24 = z + 3*z. Suppose u - 2*u + z = 0. Let i be 4\/(-2)*(u + -10). Solve i*h + 3*c = 3, -6*h = -h - c + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133380302 to the power of 1\/2, to the nearest integer?\nAnswer: 11549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6327351 meters to kilometers.\nAnswer: 0.0006327351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*t + b, 22*b + 11 = -3*t + 18*b. Let d(z) = -10*z - 3. Calculate d(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5 + 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t + 13*t + 175 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(42)*1)\/sqrt(6) + -6*(1*sqrt(567) + sqrt(567) + sqrt(567) + sqrt(567)) + sqrt(567))**2 + 0.\nAnswer: -1236*sqrt(7) + 297061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 136 = -2*y, 0 = -5*y - f + 6*f + 370. Suppose -8*h - y = -9*h. Suppose 34 = 4*r - h. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 13 - 15 = -4*v, 0 = -2*x - v - 17. Let k be 2*-1*(-1)\/x. Which is the closest 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: Evaluate 1\/(-85)*100*(-63)\/630.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 - 137. Let d = q + 34. Let p = 9 + d. What is the closest to -0.1 in 0.5, 5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9630931 centimeters to meters.\nAnswer: 0.009630931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*k - 2*w - 1, -3 = k + 4*w. Let i be 2 - k - (2 + -5). Suppose 2*j = 3*j. Solve j = -o + i*o + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3 + 132*l**2 - 48*l - 2112 = 0.\nAnswer: -44, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n + 15 = 0. Let g(d) be the first derivative of d**4\/2 - 4*d**3\/3 + 3*d**2\/2 - 6*d + 21. Is g(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.1, -400, -2, 18, -1\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-6))\/(185\/(-15318)). What is the greatest common factor of u and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -60*s + 702. Let h(j) = 54*j - 701. What is -8*d(m) - 9*h(m)?\nAnswer: -6*m + 693","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3519541, -7039089, -10558641, -14078197, -17597757?\nAnswer: -21117321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5802.\nAnswer: 2, 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(-1*(-5)\/(-4))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = w, -3*p = 5*w - 9. Suppose h - p = -0. Sort -2, h, 4.\nAnswer: -2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 + m**2 - 1. Let x be g(1). Let w(d) = d - 1. Let r(v) = -10*v + 7. Let b(j) = -r(j) - 5*w(j). What is the units digit of b(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 times -0.2\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -2205, 2\/19, -4\/3, -30.\nAnswer: -2205, -30, -4\/3, -4\/9, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 895*u = 898*u + 42. Suppose 4*l - 3*b + 58 = 0, 8*l - 4*l = -5*b - 74. Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -585 - -528.2. Let q = h - -57. Let d = 39 - 39.2. Sort d, q, 0, 1 in increasing order.\nAnswer: d, 0, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.6 - 18.43. Let c = 0.28 + v. Let a = c - -0.05. What is the second biggest value in 5, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5)\/(b**11*b))**(1\/12))**(14\/9) assuming b is positive.\nAnswer: b**(-203\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 25*s**3 + 75*s**2 + 149*s + 442. Determine y(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128151 and 37149551.\nAnswer: 334345959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3\/2 - 21576*x**2 - 43151*x\/2 = 0. Calculate x.\nAnswer: -43151, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**3 - n**2 - 1. Let d(s) = 497*s**3 - 553*s**2 + 9. Let b(u) = 18*a(u) + 2*d(u). Find the third derivative of b(z) wrt z.\nAnswer: 5208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/((-4144)\/168)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, n: 2, z: 1, v: 3, w: 4, p: 2}. Give prob of sequence vzv.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -1, -387?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.906 rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -31232*b + 1124344. Determine m(36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from qqbqbiqibbqi.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12191 take away -0.17288915?\nAnswer: 12191.17288915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*w - 5 = -w, y + 2*w = -10. Suppose y*l = 2*l. Let j = l + 0. Solve v + 3*q + j = -11, -4*v + 2*q = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 - -95. Calculate the remainder when 76 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 56 = 6. Let n be 2*u*3\/12. What is the closest to -0.2 in n, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.748108943952+0.5\nAnswer: 1.248108943952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**2\/2 + 1. Let j(o) = 3*o**2 - 3. Let t(p) = 9*p**2 - 8. Let s = -7 + -1. Let i(w) = s*j(w) + 3*t(w). Determine a(i(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 209958.\nAnswer: 1049790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/5*-33*(3330\/135)\/37?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 + 17 = 0. Suppose -2*c = -4 - 76. What is the common denominator of (-25)\/c*184\/w and -17\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*g + 54*g**2 - 15387 + 15387 wrt g?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010110 + -11?\nAnswer: -10011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -6, 20 in decreasing order.\nAnswer: 20, -2\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-1*(-12)\/(-4)*-1. What is the units digit of 678\/k*(-3)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232560 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4764, -4678, -4592, -4506, -4420, -4334?\nAnswer: -4248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 0)**2 + 0.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/3114 and -19\/52?\nAnswer: 80964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 72, 0, -13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 28*u + 1 + 13 + 31*u to the form i*u + s and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.29 + -0.01. Let t = 130\/287 + -1\/41. Which is the second biggest value? (a) t (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 4\/9, 0, -951, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 4*p + 77, 68792*p - 68793*p = 4*d + 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24794 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsstlsrssluortsst. Give prob of picking 1 l and 1 s.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12876 by 4292.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*j = -652, 524 = 6*l - 2*l - 4*j. Let k = 131 - l. Solve -3 = -0*p + k*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 5. What is the least common multiple of 43 and y(-2)?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, j: 5, i: 5, u: 3, r: 1}. Give prob of picking 1 j, 2 u, and 1 x.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(84)\/(-1*sqrt(4)))\/(sqrt(192)\/sqrt(4)).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5415 + 7880. List the prime factors of p.\nAnswer: 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 9 = -51. Suppose -3*v = 2*y - 73, 0*y - 2*y = 2. What is the remainder when v is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.6287 - -894.\nAnswer: 899.6287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 87757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145490049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + -22. Let u = 15 + r. What are the prime factors of (-21)\/u - 9\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**5\/20 - h**4\/3 + h**3\/6 - h**2 - 23*h. Give d(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*c + 7890 = 7785 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-59)\/(7375\/(-150)))\/((-4)\/(-10)). Solve 0 = -4*d + x*b - 3, 2*d + 2*d = b - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572733?\nAnswer: 3, 7, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -120420?\nAnswer: -120411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6812 + 13012. Round f to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Let j = 1314 + -1304.28. Let p = -9.72 + j. Sort 2, t, p in descending order.\nAnswer: t, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85 - 6 - 22 - 51)*(3*o + 4*o - 3*o).\nAnswer: -656*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -115 + 6 + -14 + -9 + (-21 - -26)\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -183 - -203. Solve -3*s - 4*w + 3 = -2, -s + 3*w = l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-5))\/6 + (-94)\/10. Let p(x) = x**3 + 9*x**2 - 6. What is p(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/23 and -58\/63.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177433 is divided by 177406?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2392490*y + 625250.\nAnswer: -2392490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18*(-4 + (-18)\/(-4)). Solve 2*g = -g + t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a factor of 2449395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 5*w**2 - 3*w + 18. Let k be p(-6). Suppose -14*t + 9*t = k. What is the remainder when 24 is divided by ((-104)\/(-4))\/(2 - t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(84)*-5 + 1*sqrt(84)*4)*3)\/(-3*sqrt(972)*-2*-1))**2.\nAnswer: 343\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - s**2 + 3. What is i(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - l + 18 = 0, -7*m + 12*m - l - 22 = 0. Let n be 9 - 1*(-6)\/(-3). Sort 1, n, m in increasing order.\nAnswer: 1, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4)*(-128)\/24. Let w be y\/44 - (-1060)\/22. Suppose -p = -g - 16 + 2, -3*g = 3*p - w. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a kilogram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1290 and -77\/2064.\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -11.6, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + m + 5*m)*((-2 + 6 + 1)*(10 + 4 + 12) + 1 + 2 - 1 + (-3 + 3 - 1)*(4 + 3 - 5)).\nAnswer: 260*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25483.\nAnswer: 17, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 31*j - 37. Let r be 11*(-2 + -5)\/(-7). Is h(r) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.63, -3, -1\/5?\nAnswer: 4.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 4*w + 0*w**2 + 0 - 1\/2*w**3 + 0*w**4 + 0*w**5 + 1\/6*w**6. Find the second derivative of d(g) wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245 * 0.4\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 15*h. Let i(k) = -6*k. Let c(a) = -13*a. Let r(x) = -2*c(x) + 4*i(x). Let y(q) = -2 + 2 - 2*q. Let p(n) = -6*r(n) - 5*y(n). What is p(z(o))?\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4. Let c(n) be the first derivative of -3 + 1 + n**2 + 2*n + m. What is the derivative of c(k) wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -13*w + 36. Calculate the highest common factor of 18 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 12*a + 2*a + 18*a.\nAnswer: 38*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 82 + 19 = -3*n, -4*n = -2*p - 98. Suppose 5*k - 22 = n. What is the units digit of k*(-3 + 12\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -722232 (base 8) to base 9\nAnswer: -403443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10525 - 0.3.\nAnswer: 10524.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + t**2 - 3*t**2)*(-53*t - 48*t + 63*t + 1) to the form j*t**2 + p*t**3 + m + o*t and give o.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/(3 - 5332\/1776). Suppose 4*z + 183 = -12*t + 17*t, 5*z - 4*t = -d. Which is greater: -43 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*56\/24 - 4. What is the nearest to -0.1 in 1\/5, b, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(-10)*2\/6*-140 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -716?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/47 or -1?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9523021949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153\/21*(-214)\/(-43656)*-357.\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 241*j**7\/70 + 17*j**4\/24 + 198*j**2 - 2*j. What is the second derivative of w(g) wrt g?\nAnswer: 8676*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 44. Which is the third biggest value? (a) d (b) 5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and 599.\nAnswer: 599.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2dce - 0?\nAnswer: -2dce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4015 (b) 222.6 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ottu when four letters picked without replacement from uototttttttttuoutt?\nAnswer: 11\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p + 1625094 = 33*p + 6*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -456*o + 2579. What is q(6)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 150227, 150226, 150225?\n\"Answer: -h + 150228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*(-10)\/(-4)*40\/(-840)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1668246 + -1059336738\/635. Let i = u + 4\/127. What is the biggest value in -1, 4, i, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1421*p**2. Let m(a) = -22222*a. What is s(m(h))?\nAnswer: -701714360564*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b6390 (base 12) in base 10?\nAnswer: -1731996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1266*s - 1264*s = -2*u + 2, 4*u + 23 = 5*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7890, -7895, -7900, -7905?\n\"Answer: -5*m - 7885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*v - 8437, -v = -5*w + 4800 + 9247. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120221 (base 3) to base 12.\nAnswer: -2ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64824119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -309061 and 48295.703?\nAnswer: 357356.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0067003063 rounded to four dps?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4445*i = 4069*i - 1880 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40716381, -81432762, -122149143, -162865524?\n\"Answer: -40716381*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5a636a2 (base 11) to base 15\nAnswer: dd92b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -3 - -3) + -1141 + 1133 + 138.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -3*y - 7, 5*y + 21441 = 4*j + 21418 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3 - 52*b**2*p**2 + b*p**2 - 57*b wrt b?\nAnswer: -6*b - 104*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13356753 by -57.\nAnswer: -234329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:43 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 86343057*o + 465894353 wrt o?\nAnswer: 86343057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 1, q: 1}. What is prob of picking 1 r and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.30923 to 2 dps.\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 10*m + 4. Let b be o(-6). Let y = 36 + b. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 35\/4*d**4 + 5 + 0*d**2 - 40*d + 0*d**3. What is the derivative of j(w) wrt w?\nAnswer: 105*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y\/((y\/y**(-2\/17)*y)\/y))\/((y*y**(4\/3))\/(y*y**6)) assuming y is positive.\nAnswer: y**(181\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d**3 + d**2 - 3*d. Let s(t) = -9*t**3 - 2*t**2 + 4*t + 1. Give -3*s(r) - 4*z(r).\nAnswer: -5*r**3 + 2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50398 - -50398.028513. What is s rounded to 3 dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*s**4 + 358938*s**3 + 29*s**2 - s - 191870?\nAnswer: 672*s + 2153628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k - 4 = -2*a, -k = 4*a - 8. Let u = -5 - -23. Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24180 and 61473?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 36. Suppose 8*w - 23884 = -6*w. Suppose 1704*o - w*o = -10. Calculate the remainder when i is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.24582 litres in millilitres?\nAnswer: 5245.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/5 - (0 - -1). Let s = -0.3279 + -0.1721. Which is the nearest to f? (a) -2\/15 (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y - 16. Suppose -b + y - 5 = 0. What is the lowest common multiple of 8 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 12, h = 5*u - 7*u - 7. Let j be ((-3)\/(-6))\/(1\/6). Solve -p - 3*l - 6 = -4*l, j*l - 24 = h*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f - 105620*f**2 + 7*f + 105647*f**2 to the form o*f**2 + l + m*f and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 2365842 = -36*x - 70*x. List the prime factors of x.\nAnswer: 20753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 27*k + 95. Let s be c(-30). Let u be (s\/15)\/(12\/(-9) + 2). Solve r**2 - 1 + u*r - 1\/2*r**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 214 + -166 + -76 + -2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*b - 46*b + 26*b + 207*b.\nAnswer: 245*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1.00437 (b) -1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = 4*u - 5*u - 4*h, -2*u = -h - 541. Is u bigger than 271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 6*v = -2*z - 19, 6 = -2*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71.28867l?\nAnswer: 71288.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-27))\/4 - 4\/42.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 18*y - 15. Let s be 1\/(2\/(-28)) - (-2 - -5). Let r be n(s). Find the third derivative of 6*j**2 - 17*j**4 - 23*j**r + 40*j**4 wrt j.\nAnswer: 552*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -546516 and 0.1206.\nAnswer: -65909.8296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**4 - x**3 - x**2 + x + 6. Let y(v) = v**3 + v**2 - v + 1. Let f(s) = k(s) + y(s). Differentiate f(m) with respect to m.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t + 3 = 3*s + 52*t - 33*t, 6 = 2*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17346*-5.\nAnswer: -0.8673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44\/685 - 776\/137. Calculate the common denominator of l and -17\/1867.\nAnswer: 9335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + 2*v**2 + 4*v**2 + v**2 - 10*v**2 - 3*v**2 + (9 - 9 - 6*v**2)*(-1 + 3 - 1).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12479 rounded to 3 decimal places?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 27*o**3 + 2*o**2 - 9*o + 9. Let n(w) = -54*w**3 - 4*w**2 + 17*w - 17. Calculate -11*g(h) - 6*n(h).\nAnswer: 27*h**3 + 2*h**2 - 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -10. Let s = z + 8. Solve p = -5*f + 21, f + 2 = -3*p + s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 11 = -33*l + 29*l, -8 = 4*k + l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 16*g - 43. What is the remainder when g is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsqzbebrs. Give prob of picking 1 s and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 996, 2150, 3304, 4458, 5612?\n\"Answer: 1154*v - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {a: 2, s: 4, e: 7}?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 128*c + 8. Let m(g) = 32*g + 2. Let n(s) = s**2 + 115*s + 3152. Let q be n(-70). Determine q*o(d) - 9*m(d).\nAnswer: -32*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 98\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**5\/20 + c**3\/6 - 7*c**2\/2 - 33*c. Let t be v(-6). Let n = t + 463. What is the greatest common divisor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -36\/8735 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.8 + 1.2. Let w = q - 11.93. Let f = 0.17 - w. Round f to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*i - 9 - 17, 2*k + i = 29. Suppose k*s - 11359 - 12161 = 0. What are the prime factors of s?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 < -13671\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 141*a. Let r(j) = -16*j - 45. Let i(u) = -2*u - 9. Let t(h) = 5*i(h) - r(h). What is q(t(g))?\nAnswer: 846*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -80*x + 187 + 176 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 79, 1, 11.\nAnswer: 0, 1, 11, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d + 5*d**3 + 8*d + 33*d + 16*d.\nAnswer: 5*d**3 + 36*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 2*b - 105 = -67, -4*t + 0*b + 50 = -3*b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2340 = -9*j + 2259 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 14. Let v(g) be the third derivative of -g**6\/120 + g**5\/10 + 5*g**4\/24 - 3*g**3\/2 - g**2 - 104*g + 65. Determine v(s).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-228)\/(-27) - 112\/252?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 7*w**6\/10 + 27*w**5\/20 - 33*w**4\/4 + 11*w**3\/2 + 9*w**2 - 21*w. Factor m(d).\nAnswer: 3*(d - 1)**2*(d + 3)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3284526.\nAnswer: 2, 3, 7, 78203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 - 34. Let g = 31 + z. What is the remainder when g is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x - 2*x - 13*x = 6*x + 2064 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -291, -11503, -41917, -101133, -198751, -344371?\n\"Answer: -1600*a**3 - a**2 - 9*a + 1319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 56. Let x(j) be the third derivative of -1\/105*j**7 + 0 + 1\/168*j**8 - 1\/3*j**3 + 0*j - j**2 + 1\/15*j**5 + 1\/12*j**g - 1\/30*j**6. Factor x(c).\nAnswer: 2*(c - 1)**3*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 204826 - 15?\nAnswer: 204811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*f + 452 = 13388, -2*f = 5*x - 16198. List the prime factors of x.\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4\/9, 40.94, 4, -2\/19, 59\/42, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 22*d**2 + 556*d + 10736. Calculate l(-28).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 8 = -4*p. Let g(n) = -6*n**2 + 6*n + 6. Let o(m) = -m**2 + m + 1. Let s(w) = p*g(w) - 14*o(w). Let v be s(3). Solve -5*c - v + 0 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2*(-30)\/9 - 5)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2182122 - 4?\nAnswer: -2182126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -3)*-2 + 3. Is 27 a factor of (-274)\/(-10) - 2\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c = -78. Suppose 7*f - 509 = 352. Let q = c + f. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -261 - -457. Suppose -8*f + 6*f = -19*f + 2261. Let b = f + q. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 1466033461.\nAnswer: 1466033458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 386 - 380. Let y(i) = 32 + m - 15*i - 38. Let k(r) = 23*r. Calculate k(y(h)).\nAnswer: -345*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81846*z**2 + 1841*z + 21 wrt z.\nAnswer: 163692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14166 + -5137. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 - h**4 + 5*h**2 - h)*(-1169 + 5555 - 2212).\nAnswer: -2174*h**4 - 2174*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - b**2 + b**2)*(3 + 1 - 1) + b**2 - b**2 - 2*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4\/9 + 46\/9*m - 158\/9*m**2 + 164\/9*m**3 - 16\/3*m**4 = 0?\nAnswer: 1\/6, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34, 65, 98, 133?\n\"Answer: w**2 + 28*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, h: 4, x: 2, w: 4, f: 2, t: 5}. Give prob of picking 2 w, 1 f, and 1 h.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 53*p**5\/15 + 83*p**4\/24 - p**3\/3 - 111*p**2 - 2. What is the second derivative of m(t) wrt t?\nAnswer: 424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*z - 26*z + 64. Suppose z*k - 128 - 16 = 0. What is the greatest common factor of k and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8 = 0, 3*p + 4*w - 2*w = 14. Let l be p\/8 + (-1)\/2. Suppose 0 = -3*h + 3*t - 6, 2*h - 18 = -3*h - 2*t. What is the nearest to -0.1 in -1, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236962 is divided by 4308?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, v: 3}. Give prob of picking 2 v and 2 h.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -1.3. Let y be (-3)\/12*5 - -2. Let i = 5\/4 - y. Which is the closest to -1? (a) h (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 17. Let c be 8\/(-6)*g\/6. Suppose -c*z = z - 33. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2557*h + 171400. Give u(67).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-70) + 4\/21*2.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 x when three letters picked without replacement from {x: 2, u: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -11c26?\nAnswer: 11c1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*z = -1, 2*z - 13 + 16 = -3*m. Let h(d) = 3*d**2 - d - 1. Let u(o) = -17*o**2 + 4*o + 4. Let a(r) = m*u(r) - 3*h(r). Calculate a(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*z = 0, -4*z + 3*z + 26 = 5*v. Suppose 0*s = -x - 3*s + 29, 2*x + v*s - 63 = 0. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 16826*z + 48. Let b be a(-2). Let c = -15125 - b. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b - 242*b**2 + 28*b.\nAnswer: -242*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 6)*68\/(-170). Put a, -11, -3 in increasing order.\nAnswer: -11, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 1 = s - n, -4*s - 14 = 2*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 7, 12?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnssoooowofwsofofs. Give prob of picking 2 f and 1 w.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 5.48. Let h = r - -0.28. Let f = -1046\/2313 - -2\/257. Which is the third smallest value? (a) h (b) f (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/2)\/(-2) + 2. Suppose -6*x + 10*x = -4*v + 20, -2*v + 2*x - 10 = 0. Solve g + v = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l\/(l*l**(-7))*l*l)**(1\/13) assuming l is positive.\nAnswer: l**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t + t - 2*t + (t - 2*t - 2*t)*(-1 - 2 - 1) + t + 3 - 3 + (5*t - 3*t - 3*t)*(-5 + 4 + 4) - t - 1 + 1 in the form v + h*t and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5418974329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + l - 11599999, 5*l = 2*v - 0*v + 5799995. Round v to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13363 - -13385. Let y(j) = -j + 58. Give y(w).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169886684 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -19, -39, -65, -97, -135, -179?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2855, -5711, -8567, -11423, -14279, -17135?\n\"Answer: -2856*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 625128 and 47208?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6020 divided by 1151.\nAnswer: -6020\/1151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2504 + -0.0496. Suppose 0 = -4*n + 2 - 14. Let k = 136 - 135.4. Which is the second biggest value? (a) r (b) n (c) -1 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -61*o + 768. Let r be i(12). Solve 30 = 2*j + r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10b892 (base 14) in base 8?\nAnswer: 2130550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 8 + 2 = h, h + s - 18 = 0. Let q be (213 + 5 + -2)*1\/2. Suppose q = 4*d - 2*l, -l - 14 = -d + 14. Calculate the least common multiple of h and d.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3189 and 8504?\nAnswer: 25512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.94 - -0.06. Let v = 0.3 + -0.2. Let g = v + -3.1. Put -2\/3, x, g in ascending order.\nAnswer: g, -2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 559 and 18832723.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11914, 11909, 11904, 11899, 11894, 11889?\nAnswer: 11884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8232552um?\nAnswer: 823.2552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 2:01 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227829 = -15*l - 42*l. Let o = -2473 + l. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -15984?\nAnswer: 15989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 629 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-8)\/12*6 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*y + 3*y - 27 = 0, 0 = m + y - 6. Let j be (m - 0)*6 + -1. Let r = -0.6 - -1. Which is the second biggest value? (a) j (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/5 + 4724096*d.\nAnswer: 2*d*(d + 11810240)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2973\/9920 - -3\/320. Calculate the common denominator of (-38)\/(-4)*(-9)\/12 and x.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfos when four letters picked without replacement from {e: 4, f: 1, p: 2, s: 7, b: 2, o: 1}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5 + 3 - 4 - h**3 - 5*h + 5*h**2. Suppose 3*v - 18 + 6 = 0. Let d be r(v). Is 1\/2 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211272.\nAnswer: 2, 3, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*(-11)\/((-220)\/(-15))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.65 - -0.25. Which is the nearest to 0.1? (a) -3 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3232597733 and 6670.\nAnswer: -3232591063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11727, 46905, 105535, 187617, 293151?\n\"Answer: 11726*w**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 235.3658 to zero decimal places.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*h - 2*h. Let g = 7 + h. What is the least common multiple of g and (-1)\/(-2)*(23 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Let y be 109\/3 - x\/(-3). Let h = -16 + y. What is the remainder when 41 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 4. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13776046 to the nearest integer?\nAnswer: 3712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x**2 - 32*x**2 + 4*x**3 - 72*x**3.\nAnswer: -68*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277623 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 4. Let y(l) = 2*l + 4. Let x be y(-6). Let v = 12 + x. Sort m, -2, v in descending order.\nAnswer: v, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*h + 82*h + 64*h = -235 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 3:42 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322235798 to the power of 1\/2, to the nearest integer?\nAnswer: 48190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-118594)\/(-2064))\/197*(-4)\/(-14).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**2 + 207*s + 1511. Determine q(-7).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38222?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*w**3 + 19*w**3 - 41*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.9 and -6?\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/832, 0.1, -5, 4, 0.02, 2\/7 in descending order.\nAnswer: 4, 2\/7, 0.1, 0.02, 1\/832, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.03.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 214*k + 4. Let o be x(8). Let d = 24281\/70 - 2454\/7. What is the common denominator of 6\/(-16)*o\/65 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352748 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 7\/3)*(-305 + 302). Let k be 6*1 + -2 + 1. Suppose v*l = -5*g + 38 + 2, k*g = 4*l - 40. What is the highest common factor of l and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 767 + 12266. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 3, 9.\nAnswer: -2, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + r = -13, 5*r + 38 = 16*d - 10*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-6 + 5) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160662 - 160668.5489. Let h = a + 0.5477. Let c = h + 6. Round c to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -394026 (base 11) to base 9\nAnswer: -1144763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 5*f + f)*(2*f**4 + f**4 - 4*f**4) + (f**4 - 5*f**2 + 5*f**2)*(-3*f + 5*f - 3*f) + 0*f**5 - 5*f**5 + f**5 - 4*f**5 + 3*f**5 - f**5.\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30645 and 855?\nAnswer: 582255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(((t*t**(-2\/9))\/t)\/t)))*t)**50)**39\/((t**0*t**(-1\/6))\/(t**0\/t*t\/((t**(-1)*t)\/t))) assuming t is positive.\nAnswer: t**(12569\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 1. Let c be i(1). Let w be (29\/87)\/(c - 2\/(-6)). Which is smaller: w or -1\/77?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -16*i**2 - 3*i. Suppose -10 - 15 = -5*n. Let f(b) = -31*b**2 - 7*b. Let d(g) = n*j(g) - 3*f(g). Find the second derivative of d(l) wrt l.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/5 or 0.323?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -3, -125 in descending order.\nAnswer: -3, -4, -5, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2521.64 centuries to decades.\nAnswer: 25216.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4237 and 1368?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 727.59 - 633.627. Let y = -94 + h. Round y to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.821 and 1274765.\nAnswer: 1274770.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8*(z*z\/z**(-6)*z)\/z*(z\/((z**(-2\/5)*z)\/z*z))**43)**40 assuming z is positive.\nAnswer: z**1328","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -17, -1, 2\/7, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 11\/81499321?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -12368.\nAnswer: -12368.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6878 + -6860. Let s(j) = j**2 - 20*j + 23. Calculate s(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5 + 6*j - 111*j - 1 - 28*j in the form t + c*j and give c.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(171)\/(sqrt(9) + -1*sqrt(9)*-3 - sqrt(9)))**2.\nAnswer: -95\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 - 4*n**2 - n. Give q(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzohhbhvh. What is prob of sequence ov?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*i**4*n - i**2*n - 37*i*n - 12921*n wrt i?\nAnswer: -104*i**3*n - 2*i*n - 37*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12163 (b) -2\/7 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 523160 and 40.\nAnswer: 523160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, q: 10, p: 1}. Give prob of sequence pp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d - 11. Let x be v(-5). Suppose -1 = -x*t + 11. Let j = -190 + 1327\/7. What is the biggest value in j, -4\/9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 1*sqrt(75) + sqrt(75) + 3 - sqrt(75))**2 + (1*2*sqrt(3) - sqrt(18)\/sqrt(96)).\nAnswer: 247*sqrt(3)\/4 + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21713, -22137, -22561, -22985?\nAnswer: -23409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 u when three letters picked without replacement from iuuusuuhusiuu?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 110. Let d = 198 + p. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6 = 2*m - 4*q, -2*m = 2*q + 14. List the prime factors of 38 - ((-8)\/2 - m).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * 427\nAnswer: 469.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 115\/35 + (-6)\/21. Let c(r) = -167*r - 72*r + 0 - 3 - w. Is c(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + sqrt(637)*-5))**2 + 2.\nAnswer: 3150*sqrt(13) + 143552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34036207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16 + 0.15974. What is u rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1.2, -0.3, -6\/13, -154, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3 = -90*p + 91*p, -4*p - 12 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 199, 3, -2 in ascending order.\nAnswer: -2, 3, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*k - w, 27 - 10 = 5*k - 4*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8552\/513 >= -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {z: 1, e: 1, q: 1, o: 1, w: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*l - 4, -2*l + 2*i + 8 = -0. Suppose 0 = 2*o - 4*f - 134, -l*o + 138 = -7*f + 2*f. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 495*p**2 + 2203*p - 117349. Give d(491).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(2*(-3)\/(-6)). Suppose 2*t + l = 15 + n, -80 = -4*t + 5*l. Calculate the greatest common factor of t and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, v: 7}. What is prob of picking 4 v?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 98*x + 98*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -83*d + 233. Calculate p(2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -17. Suppose -4*f - 9 + 23 = g*w, -2*f - 3*w = -13. Let v = -8 - -11. Are f and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 3*a. Let m be h(5). Let i = m - 7. Let d(v) = v**3 + 18*v**2 + 10*v - 94. Let c be d(-17). Solve -2*j - c = i*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -911*x. Let j(w) = 3*w**2. What is j(o(n))?\nAnswer: 2489763*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115013 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 12. Give y(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8396 by 212.\nAnswer: -2099\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50.4 - 49. Let x = 148 + -140.9. Let n = x + -7. Is v greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5 - (4 + (-3 - 299))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 417620 and 137218?\nAnswer: 9605260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 128*y**2 - 448*y.\nAnswer: -4*y*(y - 28)*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 at least 1777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = -2*i. Let y = 14 - -5. Let s = y - 24. What is the nearest to i in s, 4\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**3 - 34*d**2 + 10*d - 3. Let s be j(-6). Solve 5*o = 1 + s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v + 65. Let q be h(9). Suppose -2*w = 5*b - 51, 0 = -q*w + 3*w + 3*b - 27. Solve -4*p = -4*r + 20, -2*r + 5*r - w = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*b - 475*b = -1035*b + 1290 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) 4\/5 (b) -0.3 (c) 1\/6 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 3}. Give prob of picking 1 p and 1 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 7*z**2 + 7*z + 9. Let l(w) = -5*w**3 - 2*w**2 + 1. Let g be l(1). Let y be o(g). Suppose -35 = y*j - 92. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12845)\/(-7707)*(-36)\/50)\/(5\/(50\/104))\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2976975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssej. Give prob of picking 2 s and 1 j.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38)\/(-8) + (-1)\/(-4). Let y(a) = 7*a - a - 3*a + v. Is y(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 64. Let f be k(-7). Let s = f + 37. Calculate the highest common factor of 23 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -455*u**3 - 39*u + 39. Let s(x) = 24*x**3 + 2*x - 2. Determine 39*s(o) + 2*t(o).\nAnswer: 26*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 2*n + 3. Let g be s(2). Let z(y) = -4*y + 39. Let f be z(g). What is the greatest common factor of 88 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 5*r + 9 + 1, -3*h = 2*r + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1417, -1416, -1415, -1414, -1413?\nAnswer: -1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1246841818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/9, -5, -59.17?\nAnswer: -59.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322244 - 29824 = -16493*y - 342653 + 24832 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19263?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4438 is divided by 928?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c + 25. Let r be s(10). Let i be r\/(5\/(-4)) - 825\/135. Is -1 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 3*j**4\/4 - j**3\/3 - 3*j**2\/2 + 2*j - 1. Let c be s(2). Let l be (-9)\/(-4) + (-4)\/c. Sort -5, l, 1\/6 in descending order.\nAnswer: l, 1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 46544*f + 39266160.\nAnswer: -4*(f - 12426)*(f + 790)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-2 + 0 + sqrt(132)\/(sqrt(12)*-3).\nAnswer: -7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661634.\nAnswer: 2, 37, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 9 = -11*k - b, -4*b = 4*k + 4. Solve f - 7 = -k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10796706 divided by 207?\nAnswer: -52158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s - 125570*k + 125572*k + 126 = 0, -4*k - 4 = -3*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430781 (base 11) in base 15?\nAnswer: 339119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029653034667 rounded to six decimal places?\nAnswer: 0.002965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/10 - 126\/30. Sort -0.1, -6, t in descending order.\nAnswer: -0.1, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7694026 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g - 19. Let j be h(-11). Let c be 172\/j + (-2)\/(-9). Let w = -4 - -2. Which is greater: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7021*m + 6*m**2 - 7021*m - 6*m**2 - m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1172 + 0.182\nAnswer: 1172.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**3 - 63*a - 52*a**4 + 246*a - 14*a wrt a?\nAnswer: -624*a**2 + 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + sqrt(125) + sqrt(125) + 2 + sqrt(125) + 4)*4*6.\nAnswer: 120 + 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -1, 0.05, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -3 - 2*b - 3*b**2 + 2\/3*b**3 + 3\/2*b**4. Factor s(p).\nAnswer: 2*(p - 1)*(p + 1)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r + 13. Let x(u) = -6*u - 16. What is 5*i(g) + 4*x(g)?\nAnswer: 11*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 33*m**2 - 30*m - 61. Let c be t(32). Solve 5*a + 27 = -0*q + 2*q, 2*q = -c*a - 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -122*t**2\/9 - 2642*t\/3 + 260\/9 = 0?\nAnswer: -65, 2\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f - 11*f - 1127 = 45*f - 23 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 25*i**3 + 7*i**2 - 6*i - 7. Suppose 10*c - 22*c = -60. Is b(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) 5 (b) 11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 4, -31, 2.\nAnswer: -31, -18, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 448*q**3\/3 - 503*q**2 - 1210*q. Differentiate x(b) with respect to b.\nAnswer: 896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200 divided by -830?\nAnswer: -420\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p - 11 = -2*y, -2*p = -y + 10. Let z be 1364\/(-10) + p\/1. Let x = z + 139. Are -17 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5776331 and 21098.\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/1 + (-1 - -4) + -3. Suppose -5*y - s = -8*y. Let 0 - 3\/2*r**2 + 1\/2*r**y + r = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -409311, -409310, -409309, -409308, -409307?\n\"Answer: k - 409312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) - (-1671)\/15. Let d = u + -37. What is the common denominator of 73\/44 and 3 + d\/20 - -1?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/2029 or -1?\nAnswer: -12\/2029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1166 + 1262. Calculate the highest common divisor of c and 2400.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -246717, -246286, -245567, -244560, -243265?\n\"Answer: 144*m**2 - m - 246860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 26 + 24)*(2 + 2 - 5)*(0*k + k + 0*k) to the form d + o*k and give o.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*g - s, 5*g = 3*s + 32. Let n = g + -2. Let a be (9\/(-6) + n)*6. What is the greatest common factor of a and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 7. Let v be p(5). Suppose -f - 145 = -v*n, 4*f = -2*n + 3*f + 105. Calculate the remainder when n is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1161, -2323, -3485, -4647, -5809, -6971?\nAnswer: -8133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, z: 4, c: 1, i: 1}. What is prob of picking 1 m and 2 z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 13 - 5)*(0 + 5*g + 2 - 2*g).\nAnswer: 6*g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w - 2*n, -4*w - n = 0. Let j = -491.64 + 493. Let g = j - -1.64. Which is the smallest value? (a) g (b) w (c) -3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 98 + 14 = 0. Suppose -q = -3 - 15. Let i = d - q. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -27997?\nAnswer: 27990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.2 - 10. Let s be (5\/90)\/(3*(-2)\/24). Sort 1.9, s, u.\nAnswer: s, u, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**4\/12 - 5*c**3\/6 - 4*c**2 + 2*c. Suppose -j - 36 = -30. Is t(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9110)\/3644 - (-3)\/2*-1. Let g(h) = -2*h**3 - 7*h**2 - 4*h - 20. Calculate g(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.301 - -2.699. What is the biggest value in -1, -0.3, -2\/15, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 5:56 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 14586*b**2 - 26158416*b + 1594531168.\nAnswer: -2*(b - 59)*(b + 3676)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9) - (-5)\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3630 divide 867301166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 2*z - 8, 466*o = 469*o + z - 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 7)*(17628 - 17628 - 178*i)*(-6 + 7*i + 0 + 8).\nAnswer: -8722*i**2 - 2492*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18470633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 48 = -244. Put y, 5, 4, 3 in descending order.\nAnswer: 5, 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3370.008921 to 1 dp.\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018028217 rounded to seven dps?\nAnswer: 0.0018028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 1718*m + 1721*m = -64 + 10, -4*r - 2*m - 32 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53.8 - -51.8. Let k = -0.94 - -5.84. Let n = k - 5. Put n, f, 1 in increasing order.\nAnswer: f, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 939948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.097.\nAnswer: -0.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -79*y - 990 - 599 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 12*h**2 - 18*h + 23. Give r(13).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084570?\nAnswer: 2, 5, 108457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -2.33.\nAnswer: -18.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from pcrdfcddcrxrx?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -41. Let a(f) = -2*f + 0 - 10 + k. Let x(q) = 36*q. What is x(a(u))?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 58 = -7*c. Let b = -56 - c. Suppose b*o = 218 + 20. List the prime factors of o.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -71899361, -143798725, -215698089?\n\"Answer: -71899364*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -78*m + 27. Let g(p) = -6*p + 2. Let i(z) = 27*g(z) - 2*v(z). Let u(o) = -2*o**2. Give i(u(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5 + 5*b**4 + 75*b**3 + 115*b**2 + 50*b = 0.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -228, 3.7, 7\/10, -0.7, 0.1, 0 in increasing order.\nAnswer: -228, -0.7, 0, 0.1, 7\/10, 3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**2*v**6 + 10*p**2*v - 29*p - 820679*v**6 - 2*v**2 + 4*v wrt v.\nAnswer: -360*p**2*v**3 - 98481480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0465147 - 2146\nAnswer: -2145.9534853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 9. Suppose -g + 4*s + n = -16, 0 = -3*g - 2*s + 4. Let 8*k**2 + 93*k**5 - 8*k**3 - 89*k**5 - g*k**3 = 0. What is k?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82.6 - 68. Let h = -19 + i. Let l = 4.3946 + h. What is l rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1276\/323 + -84\/19. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((2 + sqrt(325))*-5 + sqrt(325)))**2.\nAnswer: 1600*sqrt(13) + 21200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3)\/(c\/(c**(-5)*c))*c**(1\/6)*(c*(c\/(c**0\/c))\/c)\/c assuming c is positive.\nAnswer: c**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1204111, 2408109, 3611993, 4815763, 6019419, 7222961, 8426389?\n\"Answer: -57*y**2 + 1204169*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 5*a - 24 = -3 - 47, -5*l - 33*a = 142 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*5*22\/(-275).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 38*i. Let j be (-297)\/(-9) - (6\/(-2) + 5). Let s(y) be the first derivative of 19 - 11*y**2 + 12*y**2 - j. What is g(s(m))?\nAnswer: -4*m**2 + 76*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19188 - 9883. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 34 - 42. Let s be ((-84)\/126)\/(k\/636). Is s > 424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207850.\nAnswer: 2, 5, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 280661600 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-23)\/(-230) + (-1126)\/(-2640) and 31\/408?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1140 + -753. What is the remainder when u is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4816069\/190 + -25348. Find the common denominator of i and -2.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36761565*c + 36761565*c - 45*c**3 - 23*c**2 + 23*c**2.\nAnswer: -45*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12317927, -12317925, -12317913, -12317885, -12317835, -12317757, -12317645?\n\"Answer: w**3 - w**2 - 2*w - 12317925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**4\/24 - 2*k**3\/3 + 2*k**2. Let h be (-6)\/(-1)*(-2)\/2. What are the prime factors of s(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qntp when four letters picked without replacement from {p: 1, n: 1, k: 1, o: 12, q: 1, t: 1}.\nAnswer: 1\/57120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 9691.\nAnswer: 96910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(5) - sqrt(25)\/(sqrt(5)*-1)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11455 - 8189. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-9) + 8\/3. Suppose -3*z + 9 - b = 0. Suppose -17 = -z*w + w. Solve 5*f = w + 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*z - 33448, 320*z - 325*z - 83615 = -5*k. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or 997\/141?\nAnswer: 997\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2199.\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -57, 0 in increasing order.\nAnswer: -74, -57, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**2 + g**2 + 1 + 0*g**2 + 3*g**2 wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3494.843 micrograms in nanograms?\nAnswer: 3494843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let i(c) = -c - c + 3*c - 11*c**3. What is the remainder when 18 is divided by i(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2. Let j(h) = -h**3 + 7*h**2 + 8*h + 9. Let m be j(8). Suppose -2*c + 6 = -2*s, 7 = 4*s - m. Let v(u) = -2*u - u + 0*u + c*u. What is b(v(d))?\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 0)\/(34\/11 + -3). What is the greatest common divisor of u and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 354 + -32. Let n = 325 - o. Solve 5*g + k - 2*k = 29, 4*g - n*k = 32 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -828*i + 794*i = -1394. Solve -6 = 47*g - i*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -618.4814 + 617.1. Let c = 1.38 + v. What is c rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34746*w - 6*w**2 - 29 - 34746*w)*(1 + 3*w + 10*w - 1).\nAnswer: -78*w**3 - 377*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 59.88801 milligrams?\nAnswer: 59888010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -10*o. Let j(d) = -5*d - 4. Let p(r) = -2*r - 2. Let n(z) = 3*z + 3. Let h(i) = -3*n(i) - 2*p(i). Let c(x) = 4*h(x) - 5*j(x). What is l(c(a))?\nAnswer: -50*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -614984\nAnswer: 11\/614984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21197 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*c - 1\/2*c**2 + 1\/6*c**4 + 1\/3 + 1\/6*c**3.\nAnswer: (c - 1)**2*(c + 1)*(c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**4\/12 - 3*i**3\/2 - 4*i**2 - 7*i. What is k(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0)**(-1\/16)\/(h**2*h*h*h*h\/h**(2\/13)*h*h)*((h*h**(-2\/7))\/(h\/(h*(h\/(h**0*h))\/h*h)))**(-3) assuming h is positive.\nAnswer: h**(-14635\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*w**4 + 5*w - 225*w**2 - 2*w + 226*w**2 + 6 - 98*w**4 - w to v*w**3 + q*w**2 + o + t*w**4 + s*w and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i + 1. Let u be y(1). Let d be (3 + -1)*u\/1. Is (-1874)\/d*(-6 + (0 - -8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 41 = 3*a - 13, 3*y - a = 47. Find the third derivative of 25*q**3 - y*q**3 - 15*q**3 - 9*q**2 wrt q.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*z - d, 0 = -z - 5*d - 3. What is the highest common factor of 346 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*n - 23*n - 6*n + 88*n + 18*n in the form w*n + k and give w.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzozzaozaizzzzaizzh. What is prob of picking 2 a?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 545?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174688228645 + 0.046.\nAnswer: -174688228644.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1732205909?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 + 69. Suppose k*z + 195 = h, -2*z - 3 = 1. List the prime factors of h.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-297)\/(-55))\/((-15)\/175*-1). Solve 10*m - s = -63 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13\/11107?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 68*p**2 - 526*p - 460.\nAnswer: -2*(p + 1)*(p + 10)*(p + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3)*(32 - -16). Calculate the common denominator of (-1 + (-36)\/v)*69 and 51\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v. Let z(i) = 2*i - 19*i + 11*i + 11*i. Determine p(z(d)).\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12375 is divided by 4116.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p + 3*p - 34*p - 42*p.\nAnswer: -104*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11233120102022 + -2?\nAnswer: -11233120102030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 5*p**2 + 5*p. Let q be h(-6). Let l be (-2)\/q*(-420)\/10. Solve -5*b - 2*y = -4*y + l, -5*b + 4*y = 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2163.167 litres to millilitres.\nAnswer: 2163167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1801.87 * -0.35\nAnswer: -630.6545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - y**4 - 2*y**2)*(-943*y - 299*y + 239*y).\nAnswer: 1003*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**5\/2 - 125*s**4\/2 - 298*s**3 + 250*s**2 + 1200*s = 0.\nAnswer: -120, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 571 - 389. Let y = a - 170. Suppose 33 + 27 = 6*v. Which is smaller: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 6*l**2 - 5*l + 5. Let a be k(5). Suppose -33 = -a*t - 13. Solve v = -v - t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (202\/(-18) - -12*(-32)\/(-1728)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -15*i - 1. Calculate the remainder when g(-1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20447*q**4 + 3*q - 4066697.\nAnswer: -81788*q**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*h**2 - 23687*h**4 + 4*h**2 - 6 + 14*h + 23686*h**4 + 2*h**2 - 2*h**3 - 5*h**2 to t*h + y*h**4 + d*h**2 + s + c*h**3 and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 68 = -4*v, -4*v + 64 = -j - 2*j. Suppose 1 + v = z. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + sqrt(76) + sqrt(76)) + -3)**2 - (2 + (-6*sqrt(1216))**2 + -4).\nAnswer: -35645 + 920*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 15) + (-26 - -6 - -20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9960291 by 6.\nAnswer: -3320097\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**5 + 1741*a**4 - 10859*a**2 - 118344*a - 386?\nAnswer: 40*a**3 + 20892*a**2 - 21718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f**3 + 2147*f - 2147*f - 42 + 6*f**3 - 2*f**3 - f**3 + (3*f - 3*f + f)*(f**2 + 1 - 1) to the form d*f**3 + i*f**2 + w + g*f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 8) to base 6.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**2 - 4*s - 5. Let d(y) = y**3 + 8*y**2 + 11*y + 15. Let c(j) = 3*d(j) + 8*w(j). Let v(g) = -g**3 - g - 2. Calculate 2*c(n) + 5*v(n).\nAnswer: n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -14. Let y(h) = -3*h - 3. Is y(i) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71575 less than -0.4?\nAnswer: 71574.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 5*u**2 + 9*u - 14. Calculate m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = -14*v - 25. Suppose 3*c - 2*c - 29 = -4*j, -2*j = v*c - 19. Suppose 0*d = 2*d - 10, g = 4*d - 14. What is the least common multiple of g and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (6 - (3 - -2)) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 102, 235, 378, 525, 670, 807?\n\"Answer: -r**3 + 11*r**2 + 107*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6335265 + -1?\nAnswer: -6335266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x. Suppose -4*m - 2*u + 350 = x, -4*m + 5*u + 272 = -43. Suppose 4*p + m = 5*j + 2*p, -5*j + 75 = -4*p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n = 9, 3*t + 2*n = 12. Suppose -t*o - a + 50 = 0, 4*o - 124 = a - 30. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*s + 832 + 410 = -71 + 550 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(3*p**2 - 3*p**2 - 2*p**2) + 17*p**2 - 15*p**2 - 7*p - 2*p.\nAnswer: 4*p**2 - 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.66 + 1.67. Let j = -7 - -8. Which is the second biggest value? (a) -0.5 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 93063, 93067, 93073, 93081?\n\"Answer: l**2 + l + 93061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111535250 (base 6) to base 13.\nAnswer: 56a216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34999142.\nAnswer: 2, 17499571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -1302187?\nAnswer: 1302185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*1\/1*(-4)\/70?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10001010011010111100 (base 2) to base 5\nAnswer: 121120342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5*y + 73 = 3, 4*y - 2 = -8*y + 11*y for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000061288 to 6 decimal places.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68069980117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*a = 5*a - 88, 0 = 3*n - 5*a - 74. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - -0.69. Let f = -0.5 + s. Let v = -2815.1 - -2815. Which is the closest to v? (a) 0 (b) 3\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {f: 1, t: 1, h: 3, a: 1, w: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 535539165 divided by -15301119\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(84)\/sqrt(7) + sqrt(3)) + (sqrt(18)\/(sqrt(6) - (sqrt(96)*-2 - sqrt(96) - sqrt(96))))**2.\nAnswer: -18*sqrt(3) + 3\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**2*t**2 + 368*p**2*t - 826*p**2 - 36*p - 24*t**2 + 33 with respect to t.\nAnswer: 6*p**2*t + 368*p**2 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -435 equal to -434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9507*b + 9493*b + 294 = 0. Suppose 3*c + 2*c - 200 = 0. What is the remainder when c is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 2*v. Let c be l(4). Let g(h) = 7*h + 3. Let n(k) = 4*k + 4. Let o(z) = 38*z + 36. Let s(u) = -52*n(u) + 6*o(u). Determine c*g(f) + 3*s(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 + 104. What is the nearest to 0 in -4\/9, 5, w, -4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6.343, -2.4, -47?\nAnswer: 6.343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3549000 rounded to the nearest one hundred thousand?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-5 - -2) - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 84.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**4 + 2*i**3 + 58*i**2 + 3484*i.\nAnswer: -36*i**2 + 12*i + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -230 + 565. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wic when three letters picked without replacement from {k: 7, i: 10, c: 1, z: 1, w: 1}?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u. Let q = 31\/296 - -10\/37. Let l(x) be the third derivative of 0*x + 0 - q*x**4 - 3*x**2 + 0*x**3. Determine l(b(f)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahhs when four letters picked without replacement from {c: 3, s: 1, t: 6, a: 7, h: 2}?\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g + 10. Let x be z(-11). Let v = x + -25. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/771 - -1648\/40863. Put y, 4, 3 in descending order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 3*v**2 - 4*v + 1. Let d(r) = r**2 - 61*r + 4. Let q be d(61). Give w(q).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 249*c - 6957. Give t(28).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 8:14 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/130*(-12)\/21. Let h = 297\/1105 - j. Find the common denominator of -22 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 462070 divided by 55\nAnswer: 92414\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/sqrt(5))\/sqrt(7) + -3.\nAnswer: -3 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*k, -4*k - 4*h + 8 = -4. Let f(u) = 4*u + 3. Let l be f(k). Suppose 0 = l*g - 581 + 84. List the prime factors of g.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.825 + -3.825. Which is the closest to -3\/2? (a) 3\/7 (b) j (c) 3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-30)\/135)\/(2\/(-48*1)))\/((-4596)\/(-20682))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -540, -1094, -1662, -2250, -2864, -3510?\n\"Answer: -m**3 - m**2 - 544*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - 2*g**3 - 3*g**3)*(0*g + 0*g + 2*g) + (2*g**3 + 0*g**3 + 0*g**3)*(-4*g - 45*g + g).\nAnswer: -100*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.9 (b) 5 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 352 - 88. Let u be j\/(-87) - (1 + -4). Is u less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1699, -0.3, -13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -29. Let i(x) = -x**3 + x**2 + 2*x + 16. Is 8 a factor of i(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15914 is divided by 883.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -311562 (base 9) to base 2\nAnswer: -101101001001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15\/(-2 - 3) + 428?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(432)*-2*1 - (sqrt(432) + -5*sqrt(432)*1 + (sqrt(432) + sqrt(432)*-2 + 4 - sqrt(432))))**2 + 1.\nAnswer: -384*sqrt(3) + 6929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3138 a factor of 16345842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 7*j - 267. Let n be t(-14). Is n != 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((35 - 11)\/(-8))\/((-6)\/(-8))*2\/164?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 1, h: 7, i: 6}. Give prob of picking 1 p and 1 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 5)*(0*g + 4*g + 15*g) + 3*g - 5*g + 0*g + (1 + 3 - 5)*(7*g - 3*g + 6*g) to t*g + q and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/20607549 - -227775239605\/5234317446. Let a = w - 2\/127. Find the common denominator of 19\/2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**4 - 84100829*i**3 - 1659*i - 31224 wrt i?\nAnswer: 12*i**2 - 504604974*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, z: 11}. What is prob of sequence zz?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 a factor of 302003418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9500 and 90000?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 512 (c) -5 (d) 2\/7 (e) -1\/6 (f) -4\/11 (g) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**3 - 209728769*q**2 + 439224083*q wrt q.\nAnswer: -6*q - 419457538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 24*x - 121. Let d be y(8). Solve d*q = -16 - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/5)\/g*g\/(g\/(g\/g**(2\/7)))*(g*g\/(g*g**1\/g))**(6\/11))\/((g**0)**(-1\/53)*(g\/(g\/(g**(-1)\/g)))**48) assuming g is positive.\nAnswer: g**(36983\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 82\/8*32\/((-8)\/(-1)). Solve -20*f + 101 - c = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 2. Let b be a(-7). Calculate the common denominator of -51\/10 and (0 + -1)\/(9\/b).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13 and -0.1818.\nAnswer: -13.1818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, 2\/7, 2236, -2\/9 in increasing order.\nAnswer: -2\/9, 2\/7, 6\/5, 2236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 0.4134.\nAnswer: 6.6144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (-22 - -18 - -44)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192419 is divided by 177?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 2*k = -23 - 34, 15*g + 70 = 10*g - 3*k - 7 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 12363*h - 135. Let i(q) = -951*q + 10. Determine 27*i(f) + 2*u(f).\nAnswer: -951*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.344 rounded to two dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + q + 2. Let p be r(0). Let j be 3*((-16)\/12)\/p. Let s(k) = -3*k - 1. Let o be s(j). Solve -1 = -3*l + o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246 and 51844623.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31692 and 461619.\nAnswer: 35083044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 534, 542, 564, 606, 674, 774, 912?\n\"Answer: g**3 + g**2 - 2*g + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 582252 divided by -26466.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44, 69, 110, 167, 240?\n\"Answer: 8*f**2 + f + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*m = -93*m - 78*m + 524836. Is m a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(385)*-2)\/sqrt(11))\/(sqrt(112)*5).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - -50) + 7 + -10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 223297236 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/13, -3, 3, -6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**4 - w**4 - 3*w**4 + (-7*w**2 - 7*w**2 + 0*w**2)*(w**2 + 14*w**2 - 4*w**2) as b*w**2 + l*w**3 + c*w**4 + u*w + m and give c.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6981*k**2 + 71*k - 12 wrt k.\nAnswer: -13962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36288 - -5.\nAnswer: -36283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 962 < 4803\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-8 - (-29696)\/24))*(1 + -4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/354 and 131\/108.\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 1326*c - 87590. Calculate s(66).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 9, -121, -405, -891, -1627, -2661, -4041?\nAnswer: -5815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.5. Let m be -12*(3 + 32\/(-12)). What is the nearest to d in 0.4, m, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 536.44 and 72.\nAnswer: 38623.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035884828 to 7 dps.\nAnswer: 0.0003588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (105\/10)\/3*(-282)\/(-329)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.84171 minutes to milliseconds.\nAnswer: 410502.6","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 889204601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133 - 127. Suppose u*p - 12 = -0*p. Is p < 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 9*d**2 - 11*d + 13. Suppose 0 = -n - 12 - 1. Let h = n - -3. List the prime factors of w(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - i + 3*i = 13, 5*i - 15 = 5*y. 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 value of (27 - 32) + (5 + -13 - 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m + 7 - 7.\nAnswer: 25*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 7:43 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u**5\/7 - 123*u**4\/7 - 267*u**3\/7 - 9*u**2\/7 + 276*u\/7 + 132\/7 = 0 for u.\nAnswer: -11, -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.87821 meters in millimeters?\nAnswer: 21878.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 979300, 1958599, 2937898, 3917197?\n\"Answer: 979299*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/30 - 95*w**4\/12 - 194*w**3\/3 - 241*w**2. Suppose s(v) = 0. Calculate v.\nAnswer: -2, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007835373 rounded to five dps?\nAnswer: 0.00784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1, -54, -62 in ascending order.\nAnswer: -62, -54, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let j be (4*(1 + 0))\/t. Suppose q + j = -0*q, -5*z + 4*q = 44984. What is z rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*u = -4*u - 12, -5*s + 4*u = -26. Suppose 0*g + 2*d = -2*g + 30, -4*g + s*d = -42. Let f be g\/(-4) - (-57)\/21. Is f at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -880 - -1450. Let r = -307 + y. List the prime factors of r.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 60*n**2 + 326*n + 38. What is s(6)?\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-20))\/(f*f*f**25)*f**(26\/5)\/((f\/f**(4\/13))\/f))**29 assuming f is positive.\nAnswer: f**(-76328\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51987 and 148317.\nAnswer: 197706561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 + -0.14. Let m be 0*((-6)\/(-4))\/(-8 - -14). Sort f, 0.1, m in decreasing order.\nAnswer: 0.1, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 807421 and 1061.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m*m**(-3)\/m*m)*m*m))*(m*m**(-6\/5)\/m)\/m)\/(((m*m\/(m*m**4))\/m*m)\/(m*m*m\/m**6*m*m)) assuming m is positive.\nAnswer: m**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a decade in years?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 19*q**2 + 3. Let p(i) = 2*i**2 - 1. What is -4*p(a) - w(a)?\nAnswer: a**3 + 11*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 - 284*q**2.\nAnswer: -2*q**2*(q + 994)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**2\/2 + 1240*r + 400. Let q(i) = i. What is q(w(g))?\nAnswer: g + 1240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 = 3*o, f + 0*o = 3*o + 4. Let s be (f + 2)*(-1 + 2). Find the third derivative of s*u**5 - 2*u**5 - 2*u**2 - 2*u**2 + 3*u**2 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**8\/10920 + n**6\/2340 + 2*n**3 - 2. Let c(k) be the third derivative of d(k). Suppose c(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/(-3)*(-96)\/(-36)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o*p**2 + 6*o*p*u**3 - 2*o*p*u + 753*p**3*u**3 + 2*p**3*u - 19*p**3 + 8*p*u + 2*u**3 wrt u?\nAnswer: 36*o*p*u + 4518*p**3*u + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 8620.\nAnswer: 77580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128394955?\nAnswer: 5, 13, 73, 27059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**7\/1260 - l**6\/144 - l**5\/60 + l**4\/12 + 28*l**2. Let f(c) be the second derivative of d(c). Let f(p) = 0. Calculate p.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1050.\nAnswer: 1\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**3 - 348*a**2 - 8100*a + 118800 = 0. What is a?\nAnswer: -66, -60, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/30 + 87159\/15. Let x be (1\/22)\/(4\/511692). Let q = x - l. What is the common denominator of -81\/34 and q?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134.1*0.016\nAnswer: 2.1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjejej. What is prob of sequence eej?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a = 44*a - 450. Let t(i) = i**3 + 32*i**2 - 228*i + 4. Give t(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311341 (base 7) to base 10.\nAnswer: 53341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -88961 and 2?\nAnswer: 88963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 293172 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -7. Suppose 3*h - 40 = -x*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -58.6 (b) -4 (c) -0.145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 486121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09746149545 to five dps.\nAnswer: -0.09746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -225812\/33201 + 1058\/153. Calculate the common denominator of s and -73\/930.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 2. Let i(o) = -2 - 2 - 5*o + 0 + 6. Let h(y) = 11*y - 5. Let z(q) = -4*h(q) - 9*i(q). Give -3*t(s) - 2*z(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.44 + -7.41. Put n, 0, -12 in decreasing order.\nAnswer: n, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*(s\/s**2)\/s)\/s)\/s**0)**46*(s**1*s)**(-9\/4)*s**(-1)\/(s**(-5)\/s) assuming s is positive.\nAnswer: s**(-91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7106869169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2222 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 3252 = -372. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832)\/sqrt(4) - (sqrt(117) + 1))*3)**2.\nAnswer: -18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84552297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by 19.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 737807 times -2?\nAnswer: -1475614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -796*q + 43. Suppose -87*n + 79*n - 8 = 0. Is o(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.1159036ng?\nAnswer: 0.0000000000000001159036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + 6 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2 - h**3 + h - 8*h - 2*h**2 + 8*h. Let z(f) = -2*f - 1. Let d be z(1). What is the units digit of l(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 25 = -0*h. Suppose -6*t + h = -t. Let i(r) = -r**3 - 8*r**2 - 2*r - 12. Let g be i(-8). What is the nearest to 0 in t, 1\/4, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 3:37 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -62.92.\nAnswer: 18.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(209) + 1*sqrt(209)) + sqrt(209) + sqrt(209) + ((sqrt(209) - (sqrt(209) - 3*sqrt(209)))*2 - sqrt(209)) + sqrt(209))\/(sqrt(11)*-3*-1*-2).\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 k when three letters picked without replacement from gkggglgmgpeggmlgkgkp?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -65. Let t be (0 - -2)*1\/(-25). What is the biggest value in h, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 39, 13 in ascending order.\nAnswer: 2, 13, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 108 = 9*d. Let g(i) = -9*i - 12*i - 36 - 9*i + 34*i. What is the remainder when g(17) is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 8*t**2 - t + 6. Let x be l(8). Which is the nearest to -0.1? (a) -4 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -561, -557, -551, -543, -533?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 4\/9, 2\/3, 169?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/2 - 3*p**3\/2 + 27*p**2\/2 + 59*p\/2 + 15 = 0. What is p?\nAnswer: -6, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 217*d**6\/15 - d**4\/6 - 427*d**2\/2 - 69*d. Find the first derivative of h(j) wrt j.\nAnswer: 1736*j**3 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -413 - -230. Let w = r - -278. What is the highest common factor of 38 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.822766 millilitres to litres.\nAnswer: 0.007822766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 14444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 5. Let v(x) = x**2 - 2*x - 2. Determine i(a) + 2*v(a).\nAnswer: 4*a**2 - 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 6 + 6)*(5*n**2 - 5*n**2 - 2*n**3).\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 551*i**5\/5 - 245*i**2\/2 + 2444*i. Differentiate p(j) with respect to j.\nAnswer: 6612*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 10*i - 230. Let f be n(26). Solve -5*v + f - 10 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/(-6))\/(3\/(-180)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 + 2*y**2 - 3*y - 11. Calculate m(-5).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -829061, -3316242, -7461543, -13264964, -20726505, -29846166, -40623947?\n\"Answer: -829060*v**2 - v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -81830 divided by -70\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(750)*3 + sqrt(30))\/(sqrt(6) + sqrt(144)\/sqrt(6))*-5.\nAnswer: -80*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 182, 201, 218, 233, 246?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 890, 7, -0.6 in increasing order.\nAnswer: -0.6, 0.3, 7, 890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1814125.\nAnswer: 4\/1814125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 73 = -4*o, -4354 = 5*o + 4*u - 4271 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1054 + 7 + -3)\/1. Let z = 5773 - i. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = -7*y - 5*t - 18 - 1, -4*y - 5*t - 27 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 = -3*m - 106*c + 101*c, -3*m - 4*c = -156 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4 (b) -5\/3 (c) -1860\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 3*u - 3*u + u to the form w*u + t and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r*r**(9\/4)))*r**(4\/9)\/r*r)**6\/((r**(-1\/7)*((r*r*r*r**(-2)\/r*r*r)\/r)\/r)\/(r\/r**(-2))**(-5\/9)) assuming r is positive.\nAnswer: r**(373\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111988.999950403 + 111989. Round i to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1047 and 18497.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 584004907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/7, -409.8, -9.8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -28 + 13. Let r(w) = -88*w + 6. Let x be r(n). Suppose 3*a + x = 5*a. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42509\/4 + 10691. Let o = q + -64. Sort 3\/4, -3, o.\nAnswer: -3, o, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-24)\/108).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 16 = r, 0 = -3*r - 4*q + 29 - 1. Suppose 7*z = 2*z - m + 468, -r*m + 12 = 0. List the prime factors of z.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000089852216 to 7 decimal places.\nAnswer: 0.0000899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**3 + 8*i**3 - 5*i**3 - 7*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 25*s - 12936 = 0. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 0 - 3*j + 0 + j. Let k(d) be the second derivative of 5*d**3\/6 - d. Determine k(o(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -14*j**3 - 2*j**2 + 2*j + 2. Let d(m) = m**3 + m**2 - m - 1. What is c(k) + 2*d(k)?\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/33260 and 89\/29934?\nAnswer: 299340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {n: 2, l: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 2279 (b) 0.5 (c) -1428\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.009 (b) 3 (c) 0.4 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -666 divided by 1067\nAnswer: -666\/1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249 + -217. Calculate the greatest common divisor of c and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 299\/12, -923, 2\/11?\nAnswer: -923","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 6:06 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/(312\/(-4160)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 + 62274*s - 124543*s + 3 + 62269*s - 3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*s**2 + 2)*(-2*s + s + 0*s) - 4*s**3 - 2*s**3 - 3*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -276 bigger than -172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -3 - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + h + 40 = 0. Let y(v) = -v**2 + 9*v + 2. What are the prime factors of y(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*b**2 - 17*b + 2*b + 9*b + 4*b + 52 wrt b?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (369\/492)\/((36\/20)\/(6\/45)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + -5 + (-36)\/(-3). Which is the closest to -1\/4? (a) -9 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166\/((-2)\/((-28)\/(-105))) - (-28)\/210\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5 = 143*o - 142*o, 0 = -o - 5*g - 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**3 + 234*b**2 - b - 41. Calculate q(-39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 q when three letters picked without replacement from {s: 4, q: 4, n: 6, m: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*h - 2, 5*a - 5*h - 4 = -19. Let u(d) = d**2 + 8*d - 4. Let y be u(a). Sort 13, y, 4.\nAnswer: y, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 4*j = 129, -z + 106059*j - 49 = 106054*j for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 150*a - 3. Let u be m(2). Let k(s) = -46*s**2 + 206*s + 417. Let t be k(-2). Let c = t + u. List the prime factors of c.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2821.566 litres to millilitres.\nAnswer: 2821566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108 - -76. Let m be 1 - (3 + -2) - -53. Let c = m + x. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*q - 20. Let n be (1 + 7)*q\/(-8). Suppose -125*w - 960 = -5*w. Which is smaller: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/2)*c\/c**(5\/6) assuming c is positive.\nAnswer: c**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*x + 4 = -6, -g = 2*x + 7. Let i be 96\/g + (-8 - -11). Calculate the highest common factor of i and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 131, -195, 1 in increasing order.\nAnswer: -195, -2, 1, 3, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 17, r: 3}. What is prob of sequence rrw?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-1 + 1)\/3. Let k(l) = 3*l + 4 + 7 - 9. Determine k(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2) - (-10 + 2743\/286))*(-182)\/637\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -1923 - -3775\/2. Find the common denominator of 191\/1386 and c.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + q**3 - 6*q**4 + 7*q**4 - 3*q - q - 3*q**3 in the form b*q + n*q**2 + h*q**3 + f*q**4 + y and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 3. Let o be p(6). Suppose 5*x - 237 = -f, 2*x + o*x - 479 = -2*f. Suppose f = 3*l - 25. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53 and 47?\nAnswer: 2491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 246 and 24?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 5\/(15\/(-18)). Let y(l) = -2*l**3 + 13*l**2 + 12*l - 14. Let r(k) = 9*k + 25. Let x be r(-2). Let g be y(x). Put 2, g, m in decreasing order.\nAnswer: g, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*l + 27378 = -115*l + 291*l for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15805.975 * 4\nAnswer: -63223.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265, 312, 431, 658, 1029, 1580, 2347?\nAnswer: 3366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - -1. Let n = 3.33 - -0.17. Let s = n - i. What is the nearest to -1\/4 in 5, s, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 49*i**6\/120 + 11*i**3 - i**2 + 39. What is the first derivative of g(u) wrt u?\nAnswer: 147*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60817181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = i. Suppose 0 = 5*y - 2*u + 2, 0 = y + 4*u - 3 - i. Let f = 14 - 10. Solve 5*x + 4*m - 2 = y, 4 = -3*x - f*m + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3*i = 165. Let b = i + -15. Let f(p) = -23*p**2 + 2*p - 3 - b*p**2 + 39*p**2 + p. What is f(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at least as big as -2307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 f when three letters picked without replacement from mfmnm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n - 1. Let p be s(1). Suppose -u - 30 = -p*u. Let m(k) = 3*k**2 + 219*k + 35. What is the remainder when m(-73) is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/(99\/(-24) + 4). Solve -c*h = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 0*h + 2*h**5 + (h + h + 0*h)*(3 - 3 + 2*h**4) - 2*h**5 + 0*h**4 + 0*h**4 - h**5 - h**3 + 2*h**5 + 4*h**2 - 2*h**2.\nAnswer: 5*h**5 - h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 172326 and 67886?\nAnswer: 2240238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 14.4 (b) -500 (c) -256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-20))\/(13 + (-1308)\/48)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**5*h*h\/(h**18*h))\/(h*h*h\/h**(2\/23)*h*h**(1\/28)*h))**(-24) assuming h is positive.\nAnswer: h**(65490\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-3895.\nAnswer: 1947.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037885 times 2819?\nAnswer: -106.797815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 17. Let i be f\/((-6)\/(-2)) - -2. Suppose 0 = 2*x - 3 - i. Solve 2*r = -y + 3, -5*y = x*r + r - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103734 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 4*j**2 + j**2. Let o(h) be the third derivative of -h**4\/24 + 11*h**2 - 7*h. What is o(d(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 94 and 18.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 12 = 8. Let a(n) = -7 + 18 - 9 + 5*n - y. What is a(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37538.8 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/2)\/(((-21)\/(-2))\/(-21)). Suppose -h*b + 3 = -12*b. Solve -b = -5*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 756 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 12.16. Let p = -0.14 - v. What is the nearest to -0.2 in -0.5, p, 2\/17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(7)*-4 + -1)**2.\nAnswer: 8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 60*l**2 + 3465*l.\nAnswer: -5*l*(l - 21)*(l + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 10*k - 12. Let g be j(6). Let y be 3*16\/g + -2. Let -7*a**y + 0 + 12*a + 2 + 0 + 2 = 0. What is a?\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 6 + 2. Let u = v - -4. Let h be ((u\/(-3))\/(-2))\/(-2). Solve h*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1021 + 1753. Suppose 9*c - 4*c = 6025. Let g = c - y. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167896102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763814?\nAnswer: 2, 59, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19686548 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.067 in -1.2, -1.49, 3, 8?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**5\/10 - 17*p**4\/24 + 13*p**3\/3 - 38*p. Let w(d) be the second derivative of j(d). Is w(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r + 1064. Let i be (-30)\/225 - r\/30. Calculate the remainder when 60 is divided by (-1 + -92)*3\/i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 1 (c) -0.176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202 + 189. Put -4, -1, w, 5 in descending order.\nAnswer: 5, -1, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 15022 = 5018. Suppose 5*r + i = 18998. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 27*s - 44. Determine a(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*t = -1174 + 137, 2*t = -4*n + 828. Let s = 11 - 11. Let d = s - -19. Calculate the greatest common factor of d and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*g**5*p - 3146893*g**3*p - 240*g**2*p - 72616*g**2 - 2 wrt g.\nAnswer: 1560*g**2*p - 18881358*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455 + 5123 + 13000 = 408*b - 3548 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6127 - -3.41269999. Let w = 0.3 + -0.1. Let m = w + q. What is m rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.953 - -17. Let h = -4.047 + f. Which is the third biggest value? (a) 0.6 (b) 3\/4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/324, 7, 1, -0.4, 2\/13, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 at least as big as 11567515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-10) + 11\/2. Suppose y*z = -0*z + 10. Let i(t) = 71*t**3 - 2*t**2 + 3*t - 3. Is i(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - q - 10 = -m, -2 = m - q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 697*m**3*u + 5*m**2 + u + 13 wrt m.\nAnswer: 4182*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40765 + -2323531\/57. Calculate the common denominator of 35 and j.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 1)\/((-6)\/3). Let o(f) = 9*f**3 - f**2 - 4*f. Let l be o(2). Suppose 4*g + l = 8*g. Solve 2*a + a + g = z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66711\/805 - -1954\/23. Find the common denominator of 47\/7 and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccn when three letters picked without replacement from {n: 5, c: 8}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4632519721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**(-4\/41) assuming r is positive.\nAnswer: r**(-8\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 41 = 3. What is the remainder when 30 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -519444 divided by 259722.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**4 + 36209*o**2 + 1510*o + 3 wrt o?\nAnswer: 36*o**2 + 72418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -58433780.6 rounded to the nearest ten thousand?\nAnswer: -58430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a factor of 2211726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 828? (a) -36 (b) 0.4 (c) -3\/5 (d) -0.2 (e) -1 (f) 450\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111111011101101101 (base 2) to base 8.\nAnswer: 3773555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16313 is divided by 308?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -323, -318, -313, -308, -303, -298?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.21445, -1\/14, -4?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -5\/12 (c) 2\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1635 and -10\/9?\nAnswer: 4905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 + -2944752\nAnswer: -2944751.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 157, 177, -79, -749, -1971, -3883?\n\"Answer: -23*a**3 + 181*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*i**4 - 279*i**4 + 177*i**4 + (0*i**3 + 5*i**3 - 3*i**3)*(i - 2*i + 2*i) as w*i**2 + y*i + d*i**4 + k*i**3 + j and give d.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00097170054 to six decimal places.\nAnswer: 0.000972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*g - 11*g. Suppose -3*w - 3*y = 6, -2*y - 1 = 3*w - g. Suppose -3 + 5 = w*c + 2*u, 4*u = -5*c. Solve 0 = 3*q - q + c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29722645 and 620?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x*((x\/(x**(-1\/7)*x))\/x)\/x)\/x)\/x)\/(x\/(x**22*x))*((x*x**(4\/5)*x*x)\/x)**44)**(-44) assuming x is positive.\nAnswer: x**(-220748\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -16. Let p be (8\/w)\/(10\/(-225)). Let x = p + 18. Solve -2*k + 2 = x, -2*n + 4 = 3*k - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 51*f + 4 + f**2 + 5 - 39*f. Let w be u(-11). Put 2, w, -1 in descending order.\nAnswer: 2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 55*f**2 + f - 93. Let d(l) = 13*l**2 - 23. Let k(r) = -17*d(r) + 4*q(r). Determine k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvtvt.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 1. Let b(p) = p**2 - p + 1. Let t(w) = -9*w**2 + 9*w - 18. Let d(v) = 6*b(v) + t(v). Let m(s) = -d(s) - 9*u(s). Factor m(y).\nAnswer: 3*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 9*y**2 + 353*y - 68. Let p be t(11). What is the greatest common divisor of p and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18a236 - 18?\nAnswer: -18a252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 28, 42, 56, 70?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*m + 15525 = 95*m. What is the highest common factor of 300 and m?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322100 (base 4) in base 6?\nAnswer: 25132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 6*n**2 + 3*n - 7. Let o be p(-5). Suppose -2 = -2*i - 0*y + y, 2*i + o*y = 10. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 364 and 8?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 244992 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 15, v: 4}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/8 - (6 - -15)*4\/7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) 0.5 (c) 1 (d) 2\/3 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + (3 - -5) - (6 - 2)) + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.437 - -2113942449.\nAnswer: 2113942447.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3065 and 774832?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**2\/5 + 42*a\/5 = 0.\nAnswer: 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z. Let g(x) = 6*x - 206. Calculate g(m(h)).\nAnswer: -12*h - 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 140164509 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 36*l**2 - 79*l + 48.\nAnswer: -(l - 3)*(l - 1)*(5*l - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26345 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002256 to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*3*5 + (sqrt(110) + sqrt(110)*-4)*-2)\/((sqrt(360)*-1 + sqrt(360) - sqrt(360) - sqrt(360))*3*-6).\nAnswer: 7*sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -1096 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 255*n + 1. Let t(l) = -85*l. Let y(q) = -4*o(q) - 11*t(q). Suppose -3*x + 2*x - 1 = 0. What is the units digit of y(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61248048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-902))\/(35\/(-410)*2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2) + 4 + -3. Let w be ((-2)\/5)\/(n\/(-80)). Suppose -3*k + k = -w. Solve -i + 4*a = -5*i + k, -5*i + 10 = -3*a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40043297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1572 and 648?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-18) - (-5092)\/1206?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 46*o = -50*o - 5, -3*o = 3*p - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -a + 95, 8*y + 218 = 2*a + 12*y. Let i = a + -8. What are the prime factors of i?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.3, 11\/2, -0.01411?\nAnswer: -0.01411","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(27)))**2.\nAnswer: 48*sqrt(3) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3*j + 354 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 + -135 + -70 - -3?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-6))\/((-1)\/8). Let y = 4 + d. Suppose 5*r + 22 = -2*c, -3*r + c + y = 11. Sort r, -5, -3 in descending order.\nAnswer: -3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k**2 - k - 2. Let b be s(7). Let n = b - 218. Suppose -5*l = -3*u - 90, -3*l = -4*l - 4*u - 5. What is the highest common divisor of n and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-2163956.\nAnswer: 10819780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 459354209 to the power of 1\/2, to the nearest integer?\nAnswer: 21433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*w + 1544 = -1206. Solve -4 + 44 = w*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - w = 30, 6 = -4*s + 4*w + 46. Solve 3*u - 14 + s = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2422597 is divided by 1211290.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 9, -21, -73, -153, -267, -421?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60802 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*m**3\/5 - 9169*m**2\/5 + 764*m\/5 = 0. Calculate m.\nAnswer: 0, 1\/12, 764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 6*c - 466. Let d be l(0). Let o = -467 - d. Let u(z) = -4*z**2 + 3*z + 4. Give u(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166314792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1010672540 to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - f + 2*f - 15 = 0, -5*g = 3*f - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0.059630359.\nAnswer: 4.059630359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d + 10. Let p(h) = 11*h - 30. Determine 7*a(x) + 2*p(x).\nAnswer: -6*x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3 - u + 3*u + 2*u - 3*u. Let f be n(5). Suppose -4*j = k - 12, 9 = 3*j - 0*k + 3*k. Is f less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172003.\nAnswer: 13, 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 34 + 4*x**2 - 29 + 8*x**2 - 5*x**2. Let v(i) = i**2 + 1. Let l(k) = -c(k) + 4*v(k). Let h(f) = -f**3 - 13*f**2 - 5. Give -2*h(s) + 9*l(s).\nAnswer: 2*s**3 - s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/21 - 934*n\/21.\nAnswer: -2*n*(n + 467)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 62 = 7*r - 4*r, -5*r + 97 = -3*c. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4714? (a) -0.3 (b) -0.23 (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55824 and 509394.\nAnswer: 4075152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + a**2 - a. Let r be n(1). Let p = r - 1. Let m(o) = 7*o - 1. What is the units digit of m(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7618927*t**3 - t**2 + 1439388*t wrt t.\nAnswer: 45713562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2020 and 756790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3) - (5 + sqrt(75))).\nAnswer: -12*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 4:32 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(18\/(-16)))\/((1512\/405)\/28)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 8:45 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + 0*k**3 - 26*k**3 + (-2*k**3 + 0 + 0)*(-1 - 1 + 1) + (k - k - k**2)*(1 - 3 + 1)*(41 - 41 - 7*k).\nAnswer: -31*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 2:55 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*(-700)\/(-1200)*(-12)\/50.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/f*f**4\/f)\/(f*f*f*f**1)**(1\/7) assuming f is positive.\nAnswer: f**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**2 + 7*x**2 + 2*x**3. Let m be q(1). Suppose -m*z - z - 64 = -4*i, 3*i - 48 = -z. What is the smallest common multiple of i and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 378738 (base 12) to base 7\nAnswer: 10463633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = 3*x, -4*q - 8 = -4*x - x. Let p = 75\/58 + -23\/29. Let -1\/8*h**2 + 0 + x*h - p*h**4 + 1\/2*h**3 = 0. Calculate h.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7859865?\nAnswer: 3, 5, 13, 17, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**3 - 6*l**2 - 3*l + 4. Give b(-4).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2311?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 583 + -10552?\nAnswer: -8858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2621*n**2*o*s**3 - 6*n**2*o*s**2 - 19373*n**2*s**2 + 129*n*o*s**3 + 2*n*o*s + 2*o wrt s?\nAnswer: 15726*n**2*o + 774*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*23\/69?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 2*x + 0*x + 0*x - 6.\nAnswer: -4*x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**2 - 27*z - 9. Let i be d(-5). Let m = 5 - 1. Which is the biggest value? (a) m (b) i (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -35*d**2 - 1106235*d + 316070 = 0.\nAnswer: -31607, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3626640 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/30*3\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -3*d**7\/7 + 16*d**5\/5 - 37*d**3 + 91. What is the third derivative of s(l) wrt l?\nAnswer: -360*l**3 + 384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from sxopu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*l - 319, -3*a + 3*l = a - 329. Let t = 466 + a. What are the prime factors of t?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 21*n**2 - 1. Let g be t(1). Suppose 3*v + g = 3*o + 2*v, -o - v = -4. Calculate the highest common divisor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4334 and 7128?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -354 + 1783\/5. What is the common denominator of 48\/11 and o?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417215 is divided by 165.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 382500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0*b**5 + 0*b**6 + 0*b**4 - 1 + 9*b + 9\/7*b**7 + 0*b**2 - 26\/3*b**3. Find the second derivative of n(j) wrt j.\nAnswer: 1080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.579609kg to milligrams.\nAnswer: 5579609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 4*j - 8. Let g be v(-6). Let t be -2 - (g\/2)\/1. Let n be 88\/(-224) + (-1)\/t. Sort 4, n, 5 in ascending order.\nAnswer: n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) -1.33 (c) -13\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3341 - -0.1?\nAnswer: 0.4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10005*z - 21007*z - 42646*z.\nAnswer: -53648*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*l + 3*s + 7, 8 = -5*l - s. Let x be 2\/(-3)*(-4 - l). Solve x*z = -0 + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3*s + 2183408*o**3 - 2*o**2*s - 102345*o*s + 36*s wrt o.\nAnswer: -6*o*s + 13100448*o - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -219171673.8 + -225.382?\nAnswer: -219171899.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 + (-363)\/(-55). Let t be 19\/l + (-2)\/(-7). What is the units digit of (1\/t)\/(2\/54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-68)*59245\/(-1394)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -22.4. Let f = 20 - o. Let w = f - 5.4. Are w and 8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6020475 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -3. Let t = m - -1. Let c(n) = -n**3 + 5*n**2 - n - 2. What is the units digit of c(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - ((-9534)\/10 + (-27)\/45). What is the third derivative of 0*g**3 - 18 + g**3 + 949*g + 49*g**6 - l*g + g**2 wrt g?\nAnswer: 5880*g**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 3*v - 3*v)*(-v + v + 5*v**2) - 3*v**3 + 4*v**3 + 0*v**3 - 5*v**3 - 13*v**3 - 5*v**3.\nAnswer: -27*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**3 - 13*q**2 + q + 8. Let b be u(-3). Let k(r) = -r + 2. Give k(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 11. Is -1 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 668*r - 691*r + 322 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053523739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + 25 + (-89 - 11).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**4\/12 + 3*s**2\/2 - 4*s. Let r be p(0). What is the greatest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17365779 divided by -5?\nAnswer: -17365779\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 16. Suppose -4*g + 2*c + 10 = c, w*c - 3 = g. Let b = -11 + 7. Put b, -3, g in decreasing order.\nAnswer: g, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 11:01 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7951 a factor of 1159518183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + -10000110111111000000?\nAnswer: -10000110111111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 6*m = 3780. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893.8 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*b - 60 = -102*b. What is the third derivative of -42*y**4 + 71*y**b + 89*y**2 - 8*y**3 - 35*y**4 wrt y?\nAnswer: -144*y - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*j - 25665, -j = -x + 1789 + 3358. List the prime factors of x.\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**3 + 888*t**2 + 1764*t + 880 = 0?\nAnswer: -220, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 7*t**2 - 10*t - 15. Let h be n(-8). What is the tens digit of (4 + -3)\/(h\/44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 5 = 4*f. Calculate the common denominator of 95\/2 and (50\/(-3) + f)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - (-11)\/2) + (-8)\/(-16). Solve g*x - 6*x + 12 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/867 or -1?\nAnswer: -4\/867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = 10*d + 360. Let n = -7 + d. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -344 + 504. Let v(s) = -1030*s - 4106. What is the remainder when o\/6 + (-2)\/3 is divided by v(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/29, 0.5, -3, -0.2, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 437326434 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -12*z - 201. Let d be l(-17). Suppose -i = -d*k + 12 - 28, -4*i - 4 = 5*k. Which is the closest to -1? (a) -2\/5 (b) -8 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 f when three letters picked without replacement from sffyfsffffffff.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/5 - 1219*z**2\/5 + 189588*z\/5 = 0. Calculate z.\nAnswer: 0, 183, 1036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.3. Let g = w + 0.2. Let p = g + -0.205. Round p to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (26 + -20)*(-82)\/(-3) + -3. Suppose 4*k - 865 - m = -5*i, -3*k - 2*i = -773. What is the remainder when k is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/(42\/378)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/24)*n**(-15)*n*n*(n**(-2\/7))**(-43) assuming n is positive.\nAnswer: n**(-127\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1328178 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 30278, 3, -2, -5 in descending order.\nAnswer: 30278, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4 = 2*j, -23*i = -20*i - 5*j - 22 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10125 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*sqrt(88) - sqrt(88) - sqrt(88))\/sqrt(8))**2 - -4*(sqrt(11) - (sqrt(88)\/sqrt(2))\/sqrt(4) - sqrt(11)).\nAnswer: -4*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**4 + s**4 + 4*s**4 + (-2*s**2 + 0*s + 0*s)*(-2 + 2 - 3*s**2) + 2*s**4 - s + s + (s**2 + s - s)*(-46*s**2 + 78*s**2 + 600*s**2).\nAnswer: 639*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y. Let z(t) = 11*t**2 - 5. Calculate s(z(r)).\nAnswer: -22*r**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 33\/374)*1\/(-3). Let i(q) be the first derivative of -j*q**4 - 2\/17*q**3 - 21 + 9\/17*q**2 + 54\/17*q. Solve i(t) = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1080 = 6*a - a. Let n = a + 527\/2. Calculate the common denominator of n and -22\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184\/6 - (-2)\/(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 655025?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5\/2, 1502, -1\/2, 0 in descending order.\nAnswer: 1502, 5\/2, 0, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7016 - -1244. Calculate the highest common divisor of 42 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0414386195 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2. Let x(s) = 139*s**2 + 3 - 15*s**2 - 483*s**2. Determine g(x(c)).\nAnswer: -644405*c**4 + 10770*c**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-4)\/(-24)*(-15 - -12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -953 divided by 6\nAnswer: -953\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2117016 and 4374.\nAnswer: 2117016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -77264 times 0.022?\nAnswer: -1699.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*r - 2*r. Let y be -3 + 6 - (-1 + r). Find the first derivative of -3*i**3 + 5 - 3*i**2 + 3*i**2 + 0*i**y wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 2:17 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 25*i**3. Let l(s) = -2024*s**3. Calculate -484*d(z) - 6*l(z).\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 7:37 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0)\/(l*l**(-5\/6))*l**(2\/11)*l**(1\/7) assuming l is positive.\nAnswer: l**(535\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 56*z + 6. Determine i(2).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4558 + -4560.0328. What is d rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/((-365)\/(-5475)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from eex.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 + 94 + (-342)\/12?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 4*d + 2. Let h = d + -17. Suppose 0 = 5*g - h - 8. Solve o = -4*l + 7, -4*l = 3*o - g + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -o - w, -362*o - 4*w = -360*o - 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4 - 4)*(3*t**3 + 0*t + 0*t) + 2*t + t - 4*t + t**4.\nAnswer: -2*t**4 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*t + 180 = 492*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1074479 to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 - -36. Let s = v + 32. Let l(n) be the second derivative of n**3\/6 + 4*n**2 - 2*n. Give l(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 119.6075, -0.2, 2\/21, 2, -3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -37. Suppose -z = -7*d - 419. Let t = -24 - d. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - c4?\nAnswer: -c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 7*t + 9. Let z(o) = 6*o + 95. Let l(c) = -4*c - 63. Let u(p) = 8*l(p) + 5*z(p). Let f be u(-11). Give q(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -2\/3 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6045 + 5891.67. What is w rounded to the nearest integer?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6853 + 1.3147. Which is the third biggest value? (a) -2 (b) q (c) 0.051 (d) 2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -329*n**4\/24 - 249*n**2\/2 + 327. Let d(j) be the second derivative of a(j). Let b(o) = -2*o. Give d(b(q)).\nAnswer: 658*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -77, -403, -733, -1067, -1405, -1747?\n\"Answer: -2*a**2 - 320*a + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-105))\/(8\/(-56))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -22?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000000011100011 - 1111?\nAnswer: 1001000000011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m**3 - m**2 + 2. Let a be u(-1). Let j be (12\/(-176))\/(15\/a). Are 1 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 + (-1694)\/(-88). Let h = -37 + l. Let q be (-1788)\/h - 1\/3. Calculate the highest common factor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10584788 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 33*o - 1. Let a(c) = 486*c - 4. Determine 2*a(k) - 4*l(k).\nAnswer: 840*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(567) + 1 + 1)*-3)**2.\nAnswer: 972*sqrt(7) + 15417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*g - 661*g + 1158 = 0. Calculate the smallest common multiple of (-47)\/(-7) - 8\/(-28) and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171\/(-66)*1 + 85\/34.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -22, 0, -4, 1, -2278.\nAnswer: -2278, -22, -5, -4, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -572 + 572 + 22*f to the form o + s*f and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + a?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-10)\/6)\/(14*70\/(-1764))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:27 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j - 2. Let h be q(-4). Let t = -11 - h. Let y = 0 + 3. Is t != y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44105 - -83931. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1.126658.\nAnswer: 0.3379974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 20, -4*i - 1 = -d + 11. Let g = 12 + d. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 8:17 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -2*g + 2, 69*g = 70*g - 2*y + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/l*l**(-1\/5))\/(l**(3\/4)\/(l**(-8)\/l)))**47 assuming l is positive.\nAnswer: l**(-11233\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562018 is divided by 435?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 + 18)*(-5333)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/968068 and -103\/992.\nAnswer: 7744544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -0.67. Which is the fourth biggest value? (a) 1\/4 (b) u (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396, 1562, 3458, 6012, 9152, 12806, 16902, 21368?\nAnswer: 26132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 6*o - 4. Let z be q(5). Let f = -162 - -1136\/7. Which is the closest to z? (a) -2 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - z. Let w(f) = 4*f**4 - 109*f**3 + 772*f**2 - 1253*f + 576. Let i(c) = -5*j(c) + w(c). Find k, given that i(k) = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, o: 1, a: 7, b: 5}. Give prob of sequence baam.\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1\/3549252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133112513 (base 6) to base 8.\nAnswer: -12135035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -444 (base 6) to base 16\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35 - 282*i + 282*i - 24*i**2 wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47859503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5 = 3*o - 2, o - j = 7. Calculate the remainder when 17 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 61 and 28.2.\nAnswer: 89.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 186847?\nAnswer: 186847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - -2*(-83)\/(-2). Suppose -3*b = -3, 4*o - 3*b + 29 = -38. Let x be (o\/(-10))\/(4\/30). What is the greatest common factor of x and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2*u)\/u**(4\/9)*u**2\/(u**(-2\/11)*u) assuming u is positive.\nAnswer: u**(370\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*9\/24*28\/(-7).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3619, 2376, 291, -2648, -6453, -11136?\nAnswer: -16709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7125 and 33?\nAnswer: 78375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4929024 - 3508*p**2 - 4929024.\nAnswer: -3508*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31, 74, 115, 154, 191, 226?\n\"Answer: -h**2 + 46*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 38148.46 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -8. Let q = -959 + 955.989. Let n = q + s. What is n rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n*z**3 + 282*n*z - 116475*n - 2*z**3 + 12007631*z + 2 wrt n?\nAnswer: -z**3 + 282*z - 116475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7874*a**2. Let b(p) = 26*p. What is b(h(k))?\nAnswer: -204724*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcs when three letters picked without replacement from lllsllqqclqlclql.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*j - 4 + 9, 0 = -4*j + 3*x + 25. Suppose 7*u = 25*u - 72. What is the greatest common factor of u and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 2*v - 1. Let w be q(-3). Let d be w\/5 + 65\/25. Suppose 5*l = -6 - 14, 0 = 3*z + 3*l + d. Is 5 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1469.\nAnswer: 2\/1469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q - 4*q + 2*q + 4*q. Let i(d) = 7*d - 2. Calculate u(i(t)).\nAnswer: -14*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5072 - 5075. Put -2, l, 14, -61 in ascending order.\nAnswer: -61, l, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65 - -69 - (0 + 0)) + -1 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -81*u. Let i(y) = -y**2 - 1192. What is t(i(v))?\nAnswer: 81*v**2 + 96552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 6\/7, -0.08, 2, 0.3, 39, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -f05d (base 16) to base 7\nAnswer: -344253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 341, 457, 573, 689, 805?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7\/4)*(b\/b**29)\/b*b)\/((b\/(b*b**45\/b))\/(b**44\/b)) assuming b is positive.\nAnswer: b**(229\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3589991015 to the power of 1\/2, to the nearest integer?\nAnswer: 59917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163 + (-5 - 5)*(-6)\/(-12).\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*w + 0)*(-1 - 4 - 18*w**2 + 22*w**2) + (-5*w**3 + 3*w**3 + 3*w**3)*(-2 - 2 + 2).\nAnswer: 14*w**3 - 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 103. Let n = w - 115. Let k = 35.8 + n. Round k to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 915*i**2*z + i**2 - 254*i*z - 217431*i wrt z?\nAnswer: 915*i**2 - 254*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-11)\/30)\/(11\/33) and -33\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*a*r**6 + 2*a*r**2 + 4134*a + 92*r**6 + 3*r**2 wrt r.\nAnswer: 1080*a*r**3 + 11040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3 = 15. Let f(a) = 0*a**t - 2 + 8*a**2 - 10*a - 1 - a**3 + 2*a**3. Is f(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 10*r**2 + 3. Let s be w(-10). Suppose k - s*k = -50. Suppose -k + 6 = -j. Calculate the remainder when 54 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2. Let l be 3*4\/(-6) - o. Let t be (-2 - 28\/(-8))*-2. Which is greater: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -252, -0.125, -3 in descending order.\nAnswer: -0.125, -3, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3072236905 a multiple of 5016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(7\/(-1)))\/(3\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/1253610 and -17\/36.\nAnswer: 2507220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 6, 5 in increasing order.\nAnswer: 5, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 177 = -5*h, -87 = 5*h + 8*m - 6 + 110 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -19805 (base 11) to base 8\nAnswer: -65711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 105 = 4*t. Let s = -10 + t. What is the least common multiple of 9 and s?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (sqrt(2205) - (sqrt(2205) + (6*(-1 + sqrt(2205)) - sqrt(2205)) + sqrt(2205)))**2).\nAnswer: -238242 + 4536*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*(sqrt(5) - (1*sqrt(20)\/sqrt(4) + sqrt(5))))**2.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7229.8832 to the nearest ten.\nAnswer: 7230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*z + 3*z. Suppose -4*g + 14 = -w - 6, 10 = -w + z*g. Suppose 3*j - 15 = w, -j = 4*s - 5*j + 24020. What is s rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 3:15 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21314558.\nAnswer: 2, 10657279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22701 is divided by 4523?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176 - -177. Factor -1\/2*a**3 - a**2 + 1\/2*a + q.\nAnswer: -(a - 1)*(a + 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z**3 - z**2 + 2*z. Let h(j) = 5*j**3 + j**2 - j. Let b(q) = 3*c(q) + 5*h(q). Let w be b(-2). Suppose 3*o = -w + 67. Solve o = -0*a - 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41101 (base 5) in base 6?\nAnswer: 20135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*p = -82*p - 549. Is 63 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*t + 156. Suppose -q + 35 = 4*r + 4, 2*q - 84 = 3*r. What is the highest common divisor of t and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1044318173 to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*r + 5 = 0, 4*l + 4 = 4*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19774769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*z**2 - 31 + 46*z**2 - 9*z**2 - 86*z**2 - 27.\nAnswer: -3*z**2 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*-3 - -2)*-4. What is the units digit of 1\/y - (-78)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Let g(j) = j + 11. Let s be g(-8). Suppose h = 5, 4*w - 15 = 2*w - s*h. Which is the nearest to w? (a) x (b) 1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -2. Let s be 1\/(-5) - 956\/x. Is (0 - -1)\/(1\/s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3890 divide 442510243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(50)\/(sqrt(10) + sqrt(360)) + 5)**2.\nAnswer: -30*sqrt(5)\/7 + 1270\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, n: 2, g: 3, z: 1}. What is prob of sequence fn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t = -8*t + 189. Solve -r = t*r + 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 19*r**3 - 13*r**2\/2 + 31. What is the second derivative of h(x) wrt x?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*j - 36, 2*x - 2 - 6 = 2*j. Is 8442\/x + (-6)\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -556\/171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 plus -755190?\nAnswer: -754536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 0*o + 3*o)*(-15 + 15 - 6*o) + (o - 3*o + 0*o)*(89 - 89 + 10*o) as h + c*o + s*o**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 1:05 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + a**2 - a. Let n be o(2). What is the closest to 1 in 1, 4, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*v + 2810 = 159*v + 23975 for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -2*m + 52, -2*d - 83 = -4*m - 129 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 40. Let l be g(-19). Solve -5*m - 1 = -26, -l = -3*z - m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/((-192)\/(-1452))*38\/38?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0121398694 rounded to 6 decimal places?\nAnswer: 0.01214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*n**5 - 57*n - 4*n**3 + 10*n**3 + 0*n**3 + 19*n**5 wrt n.\nAnswer: -20*n**3 + 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20619 times -2.7?\nAnswer: 55671.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 778052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475*g + 41*g - 238*g + 90*g.\nAnswer: -582*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 20?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12807 - 12809. Sort 3, 0, -4, -118, y in decreasing order.\nAnswer: 3, 0, y, -4, -118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 - t + 1. What is w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = 36*b + 49 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -538*h + 536*h - 3*i, 0 = 3*h - i - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002584 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12*j - 27. Let r(v) = v - 2. Let x(w) = -4*c(w) + 54*r(w). Let i be 30\/(-4 - 3*2\/(-1)). Let f(o) = -i*o + 34*o - 17*o. Give x(f(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 1:10 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/2, -0.042, 4 in descending order.\nAnswer: 4, 1\/2, -0.042, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 65.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77396392?\nAnswer: 2, 281, 34429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gozzj. What is prob of sequence zz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 4 (b) 2\/3 (c) -22\/3 (d) -2\/11 (e) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4452 is divided by 67.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**4\/12 - 7*y**3\/6 - 12*y**2 - 41*y + 1. Determine g(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29762 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 1\/7, -0.4, 1\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1872) + 1 + 5)**2 - ((sqrt(1872)*1*1)**2 - sqrt(1872))).\nAnswer: 34 + 156*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 - -2) - (-2 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2 + (-3 + 2 + 3)*(-6 + 2 + 5))*(u**2 + 0*u**2 + 7*u**2).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 3*v. Is -2 + 3 + v + 25 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*r - 15. Suppose 0*w - r = -3*y - 2*w, -14 = -2*y - 4*w. Round y to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-542)\/(-813))\/(4\/2*(-4)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 54242.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64? (a) -0.4 (b) 536 (c) -10.2 (d) 3\/4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63b6 (base 13) to base 16.\nAnswer: 360e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/77 - -146\/1155. Let m = k + -1367\/210. What is the common denominator of m and 47\/116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l**2 + 2809*l - 833. Calculate f(255).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 3, u: 2, z: 1, r: 1, g: 11}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26408.\nAnswer: 2, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4 + 60. Let o(n) = n + 16. Let d be o(q). Let h(y) = -y**3 - 5. Calculate h(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) + 132\/16. Suppose 215 - 67 = r - y, -o = -4*y. Suppose -r = -5*d + 5*b - 45, d + 5*b = -3. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + r + 15. Let s be x(0). Suppose -7 = t - s. Suppose 84 = 4*q - 3*h, -5*h + 92 = 3*q - 0*q. Calculate the greatest common factor of t and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2.8708 + -274.1?\nAnswer: -276.9708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 - -3.6. Let y = t - 4. Which is bigger: 0.3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -193*h**2*q + 672*h**2*r**2 - 21*h**2 - 7*h*q*r + 2*h*r**2 + 4*q wrt r.\nAnswer: 1344*h**2*r - 7*h*q + 4*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1312 + 1312.1. Sort -3, c, -21\/2, 1.1 in decreasing order.\nAnswer: 1.1, c, -3, -21\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**3*y**3 - 110*d**3*y**2 + 8*d**3 + 3*d**2*y + 41*d**2 - 7*y**3 + y**2 wrt d?\nAnswer: -24*y**3 - 660*y**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -8*u + 215. Suppose 15 = -3*m, -2*m + 3*m = -3*j + u. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2117 + -2115. Let h = -8\/33 + 163\/264. Which is the nearest to 6? (a) h (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931146?\nAnswer: 2, 3, 155191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(192) - sqrt(12)) + (sqrt(160)\/sqrt(4))\/sqrt(4))\/(((sqrt(275)\/sqrt(5)*2 - sqrt(55)) + sqrt(55))\/sqrt(11)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*y - 5*p - 27 = 250*y, 0*y + 3*y = 3*p + 27 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 11*w + 8. Let c be u(-6). Suppose 3*l + 44 = -58. Let f = l + c. Solve f = 3*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5364 + 5364 - 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-13)\/(-2))\/(-13) - (-13316)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 5980?\nAnswer: 11960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 0 + -5 + -2. Let p = -2 - v. Solve -2*b - 12 = p*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {x: 1, z: 1, d: 1, e: 2, g: 3, y: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17127 and 262944?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = o, -7 - 9 = -5*o + j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:35 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 - 80\/(-30)*6. Let q(t) = 3*t**3 - 5*t + 6. Let h be (24\/10)\/(4 + 162\/(-45)). Let s(x) = -3*x**3 + 4*x - 5. Give h*s(p) + m*q(p).\nAnswer: -3*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/10)\/(-1 - 8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 30*i**2 - 209*i + 29. What is v(-12)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 11:11 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -307 + 1d04?\nAnswer: 19fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*p - 1 = 5*h + 55*p, -3*h = -p - 13. Solve -31 + 31 = h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 641 = -5*d - 2817, 2146 = -3*f + d. Let t = -396 - f. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13189000 to the nearest 100000.\nAnswer: -13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -999 (b) 4 (c) -731\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/8*340\/459*9. Let w(q) be the third derivative of 9*q**2 + 0 - 1\/120*q**v + 0*q - 1\/96*q**4 + 0*q**3 - 1\/480*q**6. Factor w(p).\nAnswer: -p*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-3) - (-407)\/(-111) - -3284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*z + 71*z = -133*z + 672 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -179189 and -1006604.\nAnswer: -1185793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1293, 10406, 35143, 83316, 162737, 281218, 446571?\n\"Answer: 1302*c**3 - c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, q: 4, x: 6}. Give prob of picking 2 g.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4304 and 1068?\nAnswer: 1149168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*g + 100, -5*g + 35 = 5*h - 4*h. What is the remainder when 286 is divided by h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21135a1 (base 13) to base 2.\nAnswer: 100110011000010011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 807 + 753 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 82*y**2 + 3*y. Let h be j(-2). Let c = h - 318. Solve c*z - 20 = 9*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7a92 + 300?\nAnswer: -7792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 8 - (31 - (65 - (41 + -2))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*r + 249*r + 82*r + 207*r.\nAnswer: 468*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-6) + (-93)\/(-6). Let l be ((-3)\/(-2))\/(7\/i). What is the highest common divisor of l and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25000.16ml in litres?\nAnswer: 25.00016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + f = -69, -t - f = -2*f + 16. Let o = 52 + t. Let q = -18 - -36. Calculate the remainder when o is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-8) - (-2444)\/(1 - -1). Suppose -b = 6*w - 9*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*-2 + -1 + -1. Let f be (2\/14)\/(g\/(-28)). What is the smallest value in 1, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 636\/(-16)*((-10)\/3 + 2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -72, -3, 1262, 3 in increasing order.\nAnswer: -72, -3, 0, 3, 5, 1262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1736 (b) 0.17 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.186857 and -0.16?\nAnswer: 0.026857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0824364 centimeters in meters?\nAnswer: 0.000824364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 19*h**2 + 77*h - 76. Let d be s(14). Solve -d*f - 9*f + 124 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8071*a + 7*a**4 + 8073*a - 53*a**2 + 7*a**3 - 31*a**2 wrt a.\nAnswer: 168*a + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 66 + 57. Solve 0 = 5*v - 3*v + 3*q - 20, 4*v - j*q = 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320 + 356 - 14 - 7*a**3 + 0 - 15 - 7.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300)*-1 + sqrt(52))**2 + 4)*2.\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 8*m + 16 = 0. Let z = 52 + -152\/3. Solve z*h**m - h - 1\/3 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.77732 plus -751.19?\nAnswer: -747.41268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6\/18*(-1)\/3\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -4*b - 20. Is 4 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/7 - 741*y**2\/7 - 748*y\/7 + 636.\nAnswer: (y - 742)*(y - 2)*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 6*a**2 - 5*a + 6. Let m = 217 + -208. Suppose 5*f = -16 - m. Give x(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 0*q + 2496 = 13*q. What is the greatest common divisor of 132 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5803 take away -0.053?\nAnswer: -0.5273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/84)\/(-5) + 32\/(-2016)*9.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, z: 5}. What is prob of picking 3 z?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 9*z - 10. Let l = 20 - 12. Let p be f(l). What is the greatest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/1*40\/8. Let f be (-30)\/4*(-8)\/r. Let x be f + 4 + (15 - 1). Solve -3*j = 3*z + 6, 4*z - 4*j + 20 = -x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -45*y + 5. Let l(a) = 9*a - 1. Let t(n) = 11*l(n) + 2*w(n). Calculate the remainder when 66 is divided by t(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 36593757.9 minutes?\nAnswer: 3630.333125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 10. Let c be -8*t\/(-8)*1. Let k be (-24)\/(-18) - c\/6. Calculate the greatest common factor of k and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, g: 7}. Give prob of picking 4 l.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (3 - 2 - -1). Let n be (-3)\/(-3*3) + y. Which is greater: -3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, -17, -221, -621, -1283, -2273, -3657, -5501?\nAnswer: -7871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655372?\nAnswer: 2, 59, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3269400?\nAnswer: 2, 3, 5, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 299, 67, -333, -913, -1685, -2661?\n\"Answer: -2*y**3 - 72*y**2 - 2*y + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaj. Give prob of sequence aa.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4 = -5*t - 32, -5*h - 2*t + 12 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28577 (base 10) in base 6?\nAnswer: -340145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -5. Suppose -3*u + y*z + 97 = -57, u = -5*z + 45. Suppose -3*j + 3*l = l - u, -2*j + 3*l = -30. Calculate the highest common divisor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/(1\/8). Let h be (-5)\/((-10)\/(-6)) + (-68)\/g. What is the greatest common factor of h and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19675 at most 26592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.352 * 381673\nAnswer: 134348.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/3 - 58*c**2 + 1843*c - 49096\/3 = 0. Calculate c.\nAnswer: 19, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12934 + 48*d - 12934)*(-6 + 5 - 3 + (-2 + 5 + 2)*(3 - 6 + 1) - 5 + 2 + 4) to f + o*d and give o.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 171*u + 3. Let a(d) = d + 44. Give a(p(t)).\nAnswer: 171*t + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 13*o + 3. Let g = 112 - 107. Let u(i) = 9*i + 2. Let r(t) = g*c(t) - 7*u(t). Calculate r(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002002201 (base 4) to base 8.\nAnswer: 2020241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6501 and 1915617.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225) + -1*((sqrt(225) - sqrt(225)*2) + sqrt(225) - sqrt(225)))\/(((sqrt(216)*1 + sqrt(216))\/sqrt(12))\/sqrt(6)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/181, 1.1, -1\/40, -0.04 in decreasing order.\nAnswer: 1.1, -2\/181, -1\/40, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 9 (c) 7 (d) 1\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 3*h - 3. Let c be q(1). Suppose -2*z - c*z - 16 = 0. Let s(j) = 4*j**2 - 3*j + 7. What is the units digit of s(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 + 239 = 2*b. Suppose 8*m = -0*m + b. Suppose -4*k + 70 = -3*k. Calculate the highest common factor of k and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 1311828?\nAnswer: 1311828.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 123, 292, 529, 834, 1207, 1648?\nAnswer: 2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/31 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -40. Suppose -4*a + 8*a - 368 = o. Calculate the remainder when a is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6156757 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122 (base 5) to base 6.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 351571?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 241226154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - -2.9. Let z = y - 7. Let p = z + 2.896. What is p rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**3 + 4*s**2 - 8*s - 6. Let d(o) = -o**2 + o + 1. Suppose -5 = -3*w + 2*q, 7*w - 6*w = q + 2. What is w*k(v) + 6*d(v)?\nAnswer: -3*v**3 - 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 15*a. Let u(q) = -3 - 15 - 5*q + 18. What is 2*m(i) + 7*u(i)?\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 0*u - 361828527 + 180914295 + 180914232 + 0*u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 474 (b) -2\/7 (c) -6 (d) 0.5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -691 = -24*m - 43. Factor -3*w**5 - 21*w**2 + 106*w - 79*w + 39*w**3 - 15*w**4 - m*w.\nAnswer: -3*w**2*(w - 1)**2*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 6*j**2 - 5*j + 3. Let f be s(5). Find d such that -4*d**3 - 7 + 2 - 3*d + 5*d**3 + f = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2880 and 710080.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58853 and 13364?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -13*u + 11. Let w(h) = -6*h + 5. Suppose 4*z - 3 = -2*a + 3, 5*a + 5 = 0. Suppose 3 = -4*r - 2*t + 5*t, 4*r - z*t - 2 = 0. Give r*b(p) - 7*w(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61511 is divided by 449?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.731498 micrograms in nanograms?\nAnswer: 6731.498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, a: 1, i: 5, y: 4, f: 2}. Give prob of sequence fya.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18*3*-3. Suppose -9 = -k - 2*k. Let z(s) = -2 - 3*s + 2*s**2 + k + s**2. Calculate z(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 2*j**4 + 4*j)*(-2*j - 3*j + 4*j) + 0*j**5 + 3*j**5 - 5*j**5 + (0*j**2 + 22*j**2 - 5*j**2)*(-3*j**3 + j**3 + 3*j**3).\nAnswer: 13*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7481, 7452, 7423?\nAnswer: 7394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725036 - 725036 + 3*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -302426 - -12?\nAnswer: -302414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4452.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10178 (base 9) in base 12?\nAnswer: 3a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 7*m + 4. What is c(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -4\/103, -1\/3, 1\/11172, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166 + 283. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9939*k - 18768*k - 21242*k + 3711*k as r*k + q and give r.\nAnswer: -26360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 16 = -4*u, -3*u + 4 = -5*u + 2*c. Suppose u*j = -16 + 236. Let r(p) = 110*p - 9*p**2 - j*p. Let k(g) = -2*g**2. What is r(k(x))?\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26631, 53156, 79681, 106206, 132731, 159256?\nAnswer: 185781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - k + 14, -4*d + 273*k - 544*k = -268*k + 48 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i + 1. Let b(z) = -4*z - 2. Let x(q) = -4*b(q) - 9*f(q). What are the prime factors of x(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3 (b) 6 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5. Let m(y) = -1. Let c(g) = 11*m(g) - 2*u(g). Let h(d) = 4 - d + 9 - 14 + 4. Calculate 3*c(q) + h(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/5 + 214*g**3\/5 + 51246*g**2\/5 - 1170774*g - 1180980 = 0. Calculate g.\nAnswer: -162, -1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by (-214)\/(-27) + (-74)\/(-999)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwadlls. What is prob of sequence dw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 8 = -2*l. Let y be (10\/(-8))\/((-3)\/(-12)). Let r = 5908\/9 + -1969\/3. Which is the second biggest value? (a) l (b) r (c) 0 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(12) - sqrt(300)*1)\/((sqrt(120)\/sqrt(3))\/sqrt(10)).\nAnswer: -4*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*sqrt(15)\/(sqrt(30)\/sqrt(6)) + (0 + sqrt(432) + -2 - (sqrt(432) - ((sqrt(432) + 2 + sqrt(432))**2 + 4))).\nAnswer: 108*sqrt(3) + 1734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**5 - 20*o**4 + 105*o**3 + 320*o**2 - 400*o = 0.\nAnswer: -5, -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115026, -230052, -345080, -460110, -575142, -690176, -805212?\nAnswer: -920250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2014*a - 1743. Is z(34) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.886 to zero decimal places.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(171) + 2)*3 + -5 + -2*-5*sqrt(171) + -2*(sqrt(171) + 1 + sqrt(171)))**2.\nAnswer: -864*sqrt(19) + 14107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 - 5*o + 5. Let a(q) = q**2 - 5*q - 179. Let f be a(16). Let b be s(f). Let r be 17*(1 + -1 + 1). Solve x = b*d - 5*d - r, d = -x - 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, o: 1, p: 3, z: 6, n: 2, r: 1}. Give prob of sequence nno.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12333895 to the nearest integer?\nAnswer: 3512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1081875 divided by 5\nAnswer: 216375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26*6*((-14)\/6 - -2). Let q = 1 - -5. Let s be (q\/c)\/(-21 - -24). Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 10 + 15*w**3 - 14*w**3.\nAnswer: w**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3723\/7 + 532. What is the nearest to -0.1 in k, -30, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 3*c + c)*(0*c + c + 5*c)*(4*c**2 - c**2 + 0*c**2) to the form l*c + z*c**3 + n + v*c**4 + w*c**2 and give v.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -15. Suppose 0 = 2*w + w + j*n + 9, -3*n = 0. Which is the biggest value? (a) -4 (b) 3\/8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25939371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*4\/(-240)*9\/((-27)\/3).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32349088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5615 (base 11) to base 15.\nAnswer: -22d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.8 - 7.8. Let m = 41 + g. Which is the biggest value? (a) -0.4 (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*q - 3*v, q - 2 - 6 = -2*v. Let i = 22 - q. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11162 divided by 7789\nAnswer: 11162\/7789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-12) + 1)*-15. Let g(i) = i**2 - 2*i - 9. What is the least common multiple of g(6) and 92\/s + (-5)\/25?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*v - 149*v + v**3 - 5400 + 5400.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, x: 1}. Give prob of sequence aaxa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 275. Determine i(65).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 647220 and 2300.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20a (base 15) in base 8?\nAnswer: -714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971872?\nAnswer: 2, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -87 + 1138\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 35700 divided by -6\nAnswer: -5950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqbbqqqbq. What is prob of sequence qb?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184 - 372 + 4*b + 186 - 5*b**2 - 2*b**3 to the form s*b**2 + p + n*b**3 + u*b and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 8 = -6*p. Suppose d - 6*d + 3*w + 41 = 0, -22 = -4*d - 3*w. Let a(t) = 6*t + 7. Let x(b) = 11*b + 13. Determine d*a(f) + p*x(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**4*z*z**4*(z*z\/(z*z\/(z**(-5\/4)*z*z)*z))\/(z**5*z) assuming z is positive.\nAnswer: z**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 878021681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = v - 594. Calculate the remainder when 78 is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**2 - 604*i - 198. Calculate g(-100).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 - -95. Let m(r) = 6*r - 36. Let v be m(z). Solve v = 4*c - 8 + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from whuuruuuuucchc.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 238. Let i(c) = 47010*c. What is r(i(x))?\nAnswer: 94020*x - 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0158108 less than -456.264?\nAnswer: -456.2798108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t - 14. Give i(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**3\/3 - 6*q**2 - 28*q\/3 = 0.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -185 and -0.03779313306.\nAnswer: -185.03779313306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 14639?\nAnswer: 131751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-24) + (-323)\/(-399).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(285\/(-6) + -5). Let -8\/3*l + 32\/21*l**2 + 0 - u*l**3 = 0. Calculate l.\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 4*i - i + 0*i + 3*i - 4*i + (-3 + 2*i + 3)*(0 + 5 - 4) - 3*i + 5 - 5)*(2 - 2*i - 2)*(-2*i + 2 - 2).\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 1940*y - 4. Suppose 0 = -d - 3*d - 4. Let q be a(d). Let x = 2795 + q. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 7\/(9 - (-103571)\/(-11518))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67740*d**3*x**3 + 35*d**2*x**3 - 278*x**3 wrt d?\nAnswer: 406440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((166\/(-1245))\/(2\/70))\/((-36)\/(-7344)*-17)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11740.658 rounded to the nearest ten?\nAnswer: -11740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30193 = 2*x + 2*x - g + 30197, -x = -2*g + 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = 3*f - 8*g - 1566, -g - 2622 = -5*f. Suppose -5*n - 3*m + 653 = 0, -4*m = 3*n + n - f. List the prime factors of n.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 579 - 579 + 195*b - b + 4*b - 2*b + (-4 + 0 + 2)*(2 - 2 + 2*b) + 2 - 2 - 4*b.\nAnswer: 188*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, c: 1, j: 2, p: 3, t: 1, h: 6}. What is prob of picking 1 j, 1 c, and 2 e?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/145 - (-10370)\/493)\/(0 - 1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 61 = -4*m. Let h be 1\/(24\/m)*(-9)\/(-6). Sort 1\/4, h, -4\/7, -3 in descending order.\nAnswer: 1\/4, h, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2507 + -1472. Let a = g + -483. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - s**5 - 2*s**4 + 2*s**4)*(-4 - 2 - 8).\nAnswer: 14*s**5 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 48 = -0*k. Let d be (15\/10)\/(9\/k). Suppose -2*c + c = -5*r + 23, c = -2*r + 12. Put -5, c, d in ascending order.\nAnswer: -5, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 - (17 + 1) - -13. Suppose -3*r + 2*z + 14 = -0*r, 0 = 4*r + 4*z + 8. Put r, -2, b in descending order.\nAnswer: b, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -49. Suppose 42 = 2*q + z*q. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 - 1257*j - 1 + 1 + 257*j - 3*j**2 in the form c*j**2 + u*j + d + v*j**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -21*o**2. Let w(z) = -102989*z**2. Calculate y(w(k)).\nAnswer: -222741416541*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 6*x**2 - 12*x + 24.\nAnswer: 3*(x - 2)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 0. Let z = 7 - b. Suppose -a + 5*j - 21 = z, -2*j - 1 - 1 = -3*a. Solve h = a*n - 1, 0 = 3*n - 4*h - 5 - 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 + 332 = 158*d - 112. Let q = -0.95 + 0.45. What is the nearest to 1\/4 in d, q, 32?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6072389184.\nAnswer: 2, 3, 31627027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 4*u**2 - u - 2. Let o be l(2). Put o, -15, 2 in ascending order.\nAnswer: -15, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*n - 4*n + 6*n)*(-n - 2 + 2).\nAnswer: n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 - 1.5. Do m and 0.13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**2 + 7*n + 35. Let m(k) = k**2 + k + 5. Let c(b) = 2*j(b) - 14*m(b). Let f(v) = -8*v - 8. Give c(f(x)).\nAnswer: -128*x**2 - 256*x - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*v + 2*v - 14, -d = -5*v + 1. Suppose 0 = -4*w + 21 - 9. Solve n + 3*p + d = 0, -3*n - 5 - 7 = -w*p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(315))\/sqrt(7))**2 + (sqrt(30) + (sqrt(30) - ((5*sqrt(180))\/sqrt(6) - sqrt(30)) - sqrt(30)) + sqrt(30))\/sqrt(6).\nAnswer: -2*sqrt(5) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 9691 - 12086 = 0. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2428279 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5 + 1. Let b be 3\/n*(-80)\/12. Let i be -1 + b\/(0 - -2). Calculate the highest common divisor of 36 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 21. Let b be w(-12). Suppose 36*d - b*d = 30. Calculate the greatest common divisor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-13)*-18*(-42)\/324?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/6468)\/((-13)\/(546\/(-48))).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c4 (base 14) in base 3?\nAnswer: -1022102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5035.4 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8221611?\nAnswer: 3, 2740537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 3:17 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**17)**(-16)\/(y**(2\/59)\/y*y**(1\/15)*y) assuming y is positive.\nAnswer: y**(-240809\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5 = -2*o - 7, 3*o - 22 = -5*z - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -14*x. Let p(t) = 15*t. Give p(k(h)).\nAnswer: -210*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*w = w - 56, w + 1 = 0. Let t be (-4)\/z - 4\/(-195). Factor 0 - 2\/13*f**3 - t*f**2 + 0*f.\nAnswer: -2*f**2*(f + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3197\/(-1081) + (-10)\/235. Let w = 0 + -0.2. Let z = -1 + 0. What is the nearest to z in -4, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 488*h + 894 wrt h.\nAnswer: 488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/65, 10455, 3\/4 in increasing order.\nAnswer: -8\/65, 3\/4, 10455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l + 54. Let k be p(-10). Suppose -4*o + k = -h, o + 7 = 4*h - 2*h. Solve 0 = -5*a - b - h, -2*a = -4*a - 2*b - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/440 and -53\/25224144.\nAnswer: 126120720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 4*z - 2. Let u be j(2). Solve -u*y = -y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**5 - 30094*d**4 + 13982054*d**3 - 13921868*d**2 - 13982055*d + 13951962 = 0.\nAnswer: -1, 1, 471, 29622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1029.71 and 2?\nAnswer: 1027.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.13 (b) 1\/4 (c) 0 (d) -0.1 (e) 11341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 less than 0.185134646201?\nAnswer: 85.185134646201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -398754*h + 398756*h - 5*x + 22, 0 = 3*x - 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(432) + -5 + sqrt(48) + (sqrt(48) - ((sqrt(336)*-1)\/sqrt(7) + sqrt(48))))*3)**2.\nAnswer: -2040*sqrt(3) + 11089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.021 + 31.979. Let n = -13734.095 + 13766. Let x = u - n. What is x rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31\/3 + -95\/9. Let d = g + 17\/36. Which is the second smallest value? (a) 0 (b) d (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52008*x**3 + 5*x**2 + 358554*x + 18 wrt x?\nAnswer: -312048*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4))**(-13\/4)\/(u*u**(-1\/13)\/u*u*u*u**(2\/21)\/u) assuming u is positive.\nAnswer: u**(-7997\/4368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5814796?\nAnswer: 2, 13, 67, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -687 - -1197. What are the prime factors of b?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 1394?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49842489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717304.2293 plus 0?\nAnswer: 1717304.2293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 15*j**2 - 2*j - 99. What is the units digit of p(39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-229 - 373*s + 165 + 66 + 125*s).\nAnswer: 496*s - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8554 + 12898. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 427960*m**2 - 6418555*m - 23961560.\nAnswer: -5*(m + 7)*(m + 8)*(m + 85577)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 4*z + 41*z + 2 to the form n + l*z and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/((-507)\/(-13)))\/(12*4\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -168 - -170. Solve z = 2*s - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/144*(2 + -2). Solve 3*m - 10 + 13 = t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 10*o**2 - 12*o - 9. Let j be t(-11). Let h(p) be the third derivative of -4*p**j + 0*p - 1\/9*p**3 + 0*p**4 + 1\/90*p**5 + 0. Factor h(f).\nAnswer: 2*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106287?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/4243 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610*g**4 - 9055*g**3 - 40465*g**2 + 103720*g + 17100 = 0. What is g?\nAnswer: -5, -19\/122, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6103, -24405, -54911, -97621, -152535, -219653, -298975?\nAnswer: -390501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110222 + -202020?\nAnswer: -2020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.782026283 rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 60 = 4*k - 2*m, 2*k - m = 25. Let v = 10 - 18. Let s = k + v. Calculate the remainder when s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1370 plus -0.3?\nAnswer: -1370.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -11*t**2 - 827*t - 134. Give f(-75).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 - f**4 + 2*f**4)*(3 + 0 - 1 + 0 + 3 + 1 + 1 + 0 - 2 + (1 - 6 + 3)*(1 - 3 + 4)).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3720 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68 or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18255513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10271 = 3*v + i - 51880, 5*i = 2*v - 41417. Let k = v + -248729\/12. Find the common denominator of 103\/10 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1133*x**4 - 2833*x**2*y - 3147650*y - 2 wrt x?\nAnswer: 4532*x**3 - 5666*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3)*((-15)\/2)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2352)\/(-420) - (-4)\/10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 50 - 50.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-12)\/(-15))\/(-2))\/((-3)\/61305). Suppose -6*r - 3074 = -s. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3321721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a**2. Let d be f(2). Suppose 0 = 46*n + 51 + 41. Let x be 2 - (134\/n - -9). What is the greatest common divisor of d and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 73.17878 millilitres?\nAnswer: 0.07317878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -133*f**2 + 587*f - 3. Let m(n) = -n**2 - n + 1. Let i(t) = 5*m(t) + r(t). What is the second derivative of i(p) wrt p?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*h = 18. Suppose 131 = h*c - 5*u, 3*c - u - 115 = -0*u. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85163?\nAnswer: 13, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = 2. Let c(b) = -7*b**2 - 34*b + 7. Let z be c(-5). Let w(g) = z + g - 5*g - l. Let s(a) = -2*a. What is s(w(f))?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11331 - -5?\nAnswer: -11323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j = -2*j - 182. Suppose 0 = 3*c - 9, -m + 4*c + 32 = -36. Suppose 11*x = j*x + m. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103487.\nAnswer: 239, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - d**2 + 10. Calculate c(-4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7171895170643.8500038 - 7171896321417. Let s = -1150773 - y. Let h = -0.15 + s. Round h to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 7*x. Is 0 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 160 * 0.0355.\nAnswer: 5.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24539, 24535, 24531, 24527, 24523, 24519?\nAnswer: 24515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 65\nAnswer: 4.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -444 * -41\nAnswer: 18204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 116894 and 116894 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 + 5*q**3 + 0*q**3)*(0 + 6 + 45 - 5 + 47).\nAnswer: 651*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1369, -2898, -4427, -5956?\nAnswer: -7485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5139751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10364363 (base 7) in base 14?\nAnswer: -19246a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000190808954 rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 5:31 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h. Let o(u) = 19*u**2 + 122*u - 27. Calculate o(a(m)).\nAnswer: 171*m**2 + 366*m - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.26 + 1.16. Is 0 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*i + 3*i + 0*i)*(-3 + 4 - 2) - 20*i + 1 + 12*i + 12*i)*(-4*i + 0*i + 2*i).\nAnswer: -10*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-5 - -6) - (8 - 18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udd when three letters picked without replacement from dduduuu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p. Let q(i) = -6*i**2 + 152763. Determine q(n(l)).\nAnswer: -600*l**2 + 152763","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1480 - 3567 - 3*s**2 + 159*s + 1781 = 0 for s.\nAnswer: 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 30. Suppose 0 = -2*s - 4*x + o, 2*s - x - 2 = 3. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42730 and 431812288?\nAnswer: 8546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1133 - 430. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40836.18ug to tonnes.\nAnswer: 0.00000004083618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(4 - (4 + 2)). Solve q = -0*k - 2*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + (-312)\/(-21))*(-14)\/1. Let o be ((-15)\/q)\/((-2)\/3). Which is the fourth smallest value? (a) o (b) -2\/5 (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 362 + 1?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78*t - 7*t + 313 + 81*t)*(-t**3 + 5*t**3 - 2*t**3) to g*t**3 + m + w*t + y*t**4 + f*t**2 and give g.\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(468) + 3)**2 - (((sqrt(468) + 0)*-4)**2 + ((sqrt(468) + -2*sqrt(468))*-3)**2 + sqrt(468)).\nAnswer: -9819 - 78*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/12960 and 31\/144.\nAnswer: 12960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20562 - 1?\nAnswer: -20563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*a - 5259 = -79435. What is the highest common factor of 144 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + 86. Let n = -122 + u. Solve 8 = -n*b - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32910 - 39526532.68\nAnswer: -39559442.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4\/5 - 32836*l**3\/5 + 111734*l**2 - 394440*l = 0.\nAnswer: -16435, 0, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 6\/4)*72. Let x(w) = 2*w**2 + 41*w - 112. Let l be x(-23). Let n be 12\/j - 14\/l. Let u(p) = 7*p + 7. Let f(s) = -6*s - 6. Give n*u(g) - 6*f(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -450 + 359. Let i = -152 - l. Is i greater than -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*(-6)\/12)\/((-2)\/(-54)). Let y = -21 - b. Sort 5, 4, y in decreasing order.\nAnswer: y, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 8 = -h - 7*h, 5*h + 85 = 13*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11\/3 (b) -2\/7 (c) 55 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 602550.9 micrometers?\nAnswer: 0.6025509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7571, -30283, -68135, -121127, -189259, -272531?\n\"Answer: -7570*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 7. Let l be (11 + j)\/(1\/1). Suppose 0 = -l*t + 10*t - 15. Calculate the remainder when 44 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.3. Let u = 624377.8 + -624378. Which is the third biggest value? (a) u (b) 1\/2 (c) 0.3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 16*i - 9. Determine o(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25139*d**2 + 27*d**3 + 37081*d**2 - 62220*d**2.\nAnswer: 27*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -535*v + 3320*v + 802*v + 530*v as j + s*v and give s.\nAnswer: 4117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4972*i**5 - 37*i**4 - 3*i**3 + 6*i**3 - 4976*i**5 + 346*i**2 wrt i?\nAnswer: -240*i**2 - 888*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 8*r**2 - 2*r + 1. Let x be v(4). Suppose -10 = -5*o, -z - 2*o = -0*z + 22. Let u = z - x. What is the greatest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 7.99. Let u = 0.00984 + p. Round u to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 39*f**2 - 154*f + 149. What is m(-34)?\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4*2344\/12. Is m + 5 + -2 + -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32508)\/(-6966)*(-60)\/(-98). Suppose -2\/7*j**3 + 0 + 2*j**2 - p*j = 0. Calculate j.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.815*115.\nAnswer: -668.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -i - 13, 0 = -5*b + 5*i - 2*i + 35 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12416.56 tonnes in milligrams?\nAnswer: 12416560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(135)\/sqrt(3)*-4 + sqrt(45) + sqrt(45))\/sqrt(9))**2.\nAnswer: 20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4*t - 31*a**2*t - 9*a*t - 3*t wrt a.\nAnswer: 24*a**2*t - 62*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17504527 to the nearest integer?\nAnswer: 4184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -20 times -0.526\nAnswer: 10.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -336104881 divided by 48014983?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3186612?\nAnswer: 2, 3, 11, 13, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -0.5. Let a(b) = b**3 - 2*b**2 - 3*b + 2. Let g be a(2). What is the third biggest value in g, n, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3645 - -432?\nAnswer: 4277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*x**2 - 35*x**2 - x**4 - 2*x + 48*x**2 to w*x**4 + y*x**2 + u*x**3 + c*x + i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163876 is divided by 170.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 equal to 628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -40. Suppose 3*z - z = 2*b + 6, -3*b = 0. What is the greatest common factor of z and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**4 - 60*i**3 + 155*i**2 + 60*i - 160 = 0.\nAnswer: -1, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2. Let o = -154 - -171. Let c(p) = -2*p**2. Calculate o*r(b) - 6*c(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 737, 1478, 2213, 2942, 3665, 4382, 5093?\n\"Answer: -3*y**2 + 750*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8555 and 987365?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2 + 2)\/3)\/(-2). Suppose -13 = -f - x*f. Calculate the remainder when f is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 n when three letters picked without replacement from fpppnnfnnnpfanappnn.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c + 86 = 5*y, 5*y - 91 = c. Let w(k) = 20*k - y*k - 4 - 5 + 1. Let o be w(4). Solve o = -p - 4*z + 16, 5*z - 20 = -p - 0*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -46432 + 46414.9935. Let y = -17 - q. Round y to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 224 = 48*i, -3*i + y + 22 = 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -32. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70905808 by -8863226.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25 (b) 21\/2 (c) 4 (d) 536\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/11)*s*s**3*s*(s*s*s*s\/(s\/(s**(-2\/3)\/s)))\/s**(2\/11) assuming s is positive.\nAnswer: s**(197\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8265 divided by -4\nAnswer: -8265\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*i = -538 + 331. Solve 2*r = -i*v - 17, -4*v + 15*r - 10*r = -8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 5:26 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*q = -2*q - 66, 26 = t - 3*q. Let u(h) = -t*h + 107*h + 5*h + 90*h. Let m(y) = -2*y**2. What is u(m(x))?\nAnswer: -376*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1329)\/84 - 3\/7 and -73\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 33. Let t be c(0). Let y = -28 + t. What is the greatest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180*468\/1040 - -32.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1926633.39 to the nearest one thousand.\nAnswer: -1927000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22840176 divided by -3\nAnswer: 7613392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376*s - 7194 = 4362 + 3108. Calculate the greatest common factor of s and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 33957?\nAnswer: -4\/33957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from zlyzlffxffzzxf.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 111*b**2 + 454*b - 454*b + (-94 + 94 - 3*b)*(2*b + 0 + 0).\nAnswer: 105*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*x - 128*x = 20. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79262546 to the nearest integer?\nAnswer: 8903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**2. Let w(b) = 2659*b + 173. Determine w(m(u)).\nAnswer: 15954*u**2 + 173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -279 - -1115\/4. What is the fourth smallest value in 0.4, -4\/7, k, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-19)\/3)\/(1\/(-6)). Suppose 11*m - 447 - 750 = -10*m. Calculate the highest common factor of m and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47431121 - 3?\nAnswer: 47431116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 114 in 0, -1\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1272729 - 3\nAnswer: -3.1272729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18716404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -49.98939 and 153758.52.\nAnswer: 153708.53061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30038993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15848869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlytqktjl. What is prob of picking 1 q, 2 t, and 1 y?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108423936.\nAnswer: 2, 3, 47059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 10:28 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 20040*i - 33466800.\nAnswer: -3*(i - 3340)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from wbwwbwbqqfue.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -5*g - 33. Let l = g + 17. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104597267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, -3, -18, 4 in ascending order.\nAnswer: -18, -3, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12002120201011 (base 3) in base 16?\nAnswer: -295237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 + 15*c - 8. Let h be p(4). Suppose 0 = -4*v - 2*s + 127468, -2*s + 20060 = -h*v + 147528. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -723 - 468 = -3*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -13*u**3 + 57*u**2 - 153*u. Let z(x) = 3*x**3 - 14*x**2 + 38*x. Let d(f) = -2*p(f) - 9*z(f). Factor d(j).\nAnswer: -j*(j - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 59022 - -1a8?\nAnswer: 591ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 36*i**2 - 3*i + 83. What is h(36)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000073079208 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14016345*m**4 + 4*m**2 - 367590?\nAnswer: 336392280*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2 + 12*s**2 + s**3 + 12*s**2 - 13*s**2. Let v be i(-11). Let m be v + (2 - 0) + 4. What is the greatest common divisor of 20 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1888897.332+-0.76021\nAnswer: 1888896.57179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 28190*h - 141546. Determine a(5).\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222903 is divided by 881?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*l - 2*q + 148, 2*l + 2*q = 2 + 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3, 4\/5, -1, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + (-258)\/(-24) + -5)\/8. Sort 2\/15, -2, -0.1, h, 0.5.\nAnswer: -2, -0.1, h, 2\/15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5242960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/9 (b) -1 (c) 3 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -48\/6851, 1\/4?\nAnswer: -48\/6851","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303393 is divided by 9193?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**8\/4032 + 11*a**5\/60 + 9*a**2. Let b(r) be the third derivative of n(r). Factor b(w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 3*u**2 + 2*u - 5. Let p be l(-2). Put 4, -2\/9, 2\/3, p in decreasing order.\nAnswer: 4, 2\/3, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 656 and 30000?\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 2015*r**3 + 204015*r**2 + 202005*r.\nAnswer: 5*r*(r + 1)*(r + 201)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 63*z - 126. Give o(61).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258 + 157.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 (base 15) in base 6?\nAnswer: 5502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124955 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5947.392 milligrams in micrograms?\nAnswer: 5947392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 377010 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 199909117 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: What is 11\/(-6) + 3 + (-9)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**4 - 31300*y**3 + 49047060*y**2 - 195812800*y + 195687680 = 0.\nAnswer: 2, 3128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4118*x = -i - 4121*x - 39, 3*i + 5 = -x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/1 - 23\/((-46)\/4). What is the nearest to -1 in 0.55, 1\/2, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 7*s - 3*s**2 + 1 - 2*s + 0. Let x = -16 + 22. Suppose -a + 2*c - 4*c - x = 0, -3*c - 15 = 3*a. Calculate z(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88780655 is divided by 22195162.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.89 - -26. Let q = -4.11 + r. Let p = q - -16. Which is the second biggest value? (a) -4 (b) p (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amgvfavz. What is prob of picking 1 v and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/6*88\/(-12). Which is the second biggest value? (a) -5 (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373695073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9742*k + 97341. Determine f(-10).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 58 = -5*y + y, -2*y = 8. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2602586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = 1. Suppose -x + 4*h = -8, 5*x - l - 2 = 2*h. Suppose x = -m - m + 10. Solve 2*j - 3 = m*f - 0*f, 4*f - 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-108)\/(-135)*25\/2. Solve -10 = -4*t + j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - j + 18, 3*o + 2*j = 7*j - 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/11)*r**(-2\/15)*r**(-1\/4)*r*r*r**(-2\/3)*(r*r**4\/r*(r*r**(-5))\/r)\/((r*((r*r**(-2\/3))\/r)\/r)\/(r\/((r**6\/r)\/r*r))) assuming r is positive.\nAnswer: r**(-2113\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.647 - 0.847. What is the third biggest value in -1\/19, 20, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g + 3*g + 20. Calculate the remainder when -2 + (-6 - g) + 119 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20572 and 416583.\nAnswer: 1666332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 25 = 4*t. What is the lowest common multiple of 2 and ((-48)\/(-15))\/(2\/t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 + 27 + 8*x)*(308 - 451 - 158) to the form b + f*x and give f.\nAnswer: -2408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o**(-1\/3)\/o)\/o)*(o*o*o*o**(-5))\/o*o\/((o*o**3)\/o)*o*(o\/(o**(-9)\/o))\/o assuming o is positive.\nAnswer: o**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**2 - 76*i + 2085. What is g(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45548 is divided by 781?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 6 + 1 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 + 7 = 0. Let c(h) = h**3 + 4 - 9*h**2 - f - 10*h + 10. Is 5 a factor of c(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(5\/6)*b)\/b*b**(-3)*(b*b**(-1\/3))**(1\/25))\/((b\/(((b*b**0)\/b)\/b*b))**(4\/3)*(b\/(((b**(-2\/5)*b*b*b)\/b)\/b))**28) assuming b is positive.\nAnswer: b**(-2051\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/29057280 and -169\/5376.\nAnswer: 29057280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2135.04417us to days.\nAnswer: 0.000000024711159375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 541918.\nAnswer: 1\/541918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05455 less than 3?\nAnswer: 2.94545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1044*f + 2092*f - 1059*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w**2 - 2*w**4)*(9*w - 6*w + 12*w).\nAnswer: -30*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -89*a**7\/42 + 10*a**3\/3 + a**2\/2 + 2*a + 12. What is the second derivative of d(p) wrt p?\nAnswer: -1780*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1852, 3719, 5522, 7219, 8768, 10127?\nAnswer: 11254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 334197 and 14728203.\nAnswer: 4707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*x + 39. Let b = 2 - x. What is the remainder when (-48)\/(-2) + 0 + 2 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648*v**3 + 311*v**3 + 302*v**3.\nAnswer: -35*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47.29 - -23.29. Which is smaller: -33 or b?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 2*d**2 - d + 8. Calculate n(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*l + 9*l + 15*l - 229 + 228 in the form p*l + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 867 = -857. Let a(m) = 12*m**3 + 5*m**2 - 5*m - 2. Let w(q) = q**3 + q**2 - q. What is b*w(u) - a(u)?\nAnswer: -7*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**3 + 7785*r**2 - 125136*r + 501312 = 0.\nAnswer: -2611, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 3. Calculate the least common multiple of c\/(-3)*27\/18 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -275 + 276. Suppose -4 = -5*j - 3*c - y, -1 = 5*j - c. Let q(i) = -i**3 - 4*i**2 + 2*i - 6. Let h be q(-5). Solve j = 4*t - t + h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099723873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -126*p**2 + 376*p**2 - 123*p**2 - 15*p - 128*p**2 - 8. What is o(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -13*x**2. Let y(g) = -g**2. Let s(z) = r(z) + 3*y(z). Let j(a) = 10*a**2 - 15*a**2 - 8*a**2 - 3*a**2 - a**2. What is j(s(n))?\nAnswer: -4352*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 0 + -4 + (11 - 10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -344325404 (base 6) in base 16?\nAnswer: -613c0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2324844, -2324901, -2324998, -2325135, -2325312?\nAnswer: -2325529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35*190\/(-399)*(-158 + -1). Calculate the highest common divisor of l and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/3576 and -21\/116.\nAnswer: 103704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -31. Find the third derivative of -2*s**2 + 7*s**4 + s**2 - t*s**2 wrt s.\nAnswer: 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/2)\/(-6))\/(54\/(-81))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/(sqrt(12)\/sqrt(3)))**2 - ((sqrt(70)*2)\/sqrt(10) + sqrt(7))) + (sqrt(14)\/sqrt(2) + -3)**2 + sqrt(7) + sqrt(42)\/sqrt(24).\nAnswer: -15*sqrt(7)\/2 + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zittzptibt. Give prob of picking 1 p and 1 t.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61092560, -122185121, -183277682, -244370243, -305462804?\nAnswer: -366555365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 14*q - 3 - 8*q)*(-129 - 184 - 74).\nAnswer: -2322*q + 1161","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idi when three letters picked without replacement from {i: 3, d: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4564 != 4566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 2*f**2 - 2*f. Let d be w(3). Let n = -18 + 16. Sort d, -1, n.\nAnswer: n, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5445*k**4 + 116490*k**3 - 623045*k**2 = 0.\nAnswer: 0, 353\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-8)*(-1)\/(-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 153 - 150. Factor o*n - 2\/3 - 7\/3*n**2.\nAnswer: -(n - 1)*(7*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2104)\/(-1578)*((-2)\/(-1))\/(-8)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: (-392320)\/208000 + 168\/91\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49400 and 158184.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -69892, -139568, -209244, -278920?\n\"Answer: -69676*w - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, v: 1, m: 1, y: 3, s: 3, g: 2}. Give prob of sequence tsy.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let o(g) = 142*g**2 + g + 7651. Calculate o(p(m)).\nAnswer: 142*m**2 - m + 7651","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 - -19) + (-1474)\/(1\/(-1234)*4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163875302 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**3 + 7*f**2 + 7*f. Let n(a) be the third derivative of -a**6\/120 + a**5\/30 + a**4\/12 - 13*a**2. Calculate 21*n(b) - 6*s(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3 + 589069*t**2 + 86751455287*t + 260249064267 = 0. What is t?\nAnswer: -294533, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123732*x**5 + 15*x**3 + 2*x**2 - 5460*x - 68.\nAnswer: -7423920*x**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 28267?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 31?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -10. Solve -5*u + 0*a = 4*a - 5, -d*u = 3*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -269 equal to -7\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183 and 608106621?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-15))\/(12\/4120*4). Let f = 68 - n. What is the biggest value in 0.4, 3, 2\/9, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 - -4 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1850, 2335, 1460, -775, -4370, -9325, -15640?\n\"Answer: -680*y**2 + 2525*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 5:29 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-455)\/325*2\/(-7). Let o = 8.2 - 15. Let p = 1.8 + o. What is the nearest to l in -2, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-2 - (-3)\/6). Suppose -r + 3 = 1. Suppose w - 14 - 1 = -4*h, 2*h + 3 = w. Solve 5*z = d - x, -r*d + 4*z + w = -1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i. Let g(s) = -s**2 + 14. Let f be g(i). Suppose 9*c - 8*c = f. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(4\/2))\/(-7)*176\/(-704)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) + 3\/12 + 4. Solve -l*y - o = 5 + 12, 0 = 2*y - 4*o + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1872288 by 21276.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -0.3 (c) -4775\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-440)\/(-96)*(5\/((-5)\/1))\/(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 7*o - 17. Let i be b(-8). Let y(u) = u + 13. Give y(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -630 - -635. Let d(g) = 12*g**2 + 2*g + 1. Let y(z) = z**3 - 4*z**2 + 3*z. Let a be y(2). Let k be d(a). What is the greatest common divisor of l and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 1:24 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 27 - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -6. What is the third biggest value in -2\/5, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l + 0*l - 3*l + 3*l. Let s(k) = 4*k. Let v(f) = 5*m(f) - 4*s(f). Let i(c) = 6*c. Calculate v(i(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (sqrt(192))**2 - sqrt(27)\/sqrt(441).\nAnswer: -192 + 6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = 94*y. Let l(w) be the second derivative of 0 + 4*w**2 + 0*w**3 + y*w**4 + 11*w + 6\/5*w**5. Differentiate l(j) with respect to j.\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2. Let y = 3 - 0. Let p(z) = y*z - 7*z + 2 - 2. What is p(f(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -493680, -3949390, -13329174, -31595070, -61709116, -106633350, -169329810, -252760534?\nAnswer: -359887560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62738134 to the power of 1\/2, to the nearest integer?\nAnswer: 7921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l**3 - 2*l**2 + 2*l - 1. Let r be y(1). Let g = r - -10. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51590144?\nAnswer: 2, 83, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -728724 + -0.158.\nAnswer: -728724.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1641*v - 218275. Determine l(133).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)*-3*5 + -5*(sqrt(108) - (sqrt(108)*2 - sqrt(108))**2).\nAnswer: -120*sqrt(3) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Let z be l + 2 + (-2)\/1. Suppose -79 - 47 = -z*d. Calculate the greatest common factor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7520786797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59.927 + -60. Let m = -56.673 + 56.745929. Let x = m + p. What is x rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 891076 (base 11) to base 13\nAnswer: 3aa0a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 4:43 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 57, -2, 18, 4 in descending order.\nAnswer: 57, 18, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0086 times -103\nAnswer: 0.8858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2034 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 418751*0.5.\nAnswer: 209375.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(132) + (sqrt(132) + 4*sqrt(132) + sqrt(132))*6)\/((sqrt(540)\/sqrt(9))\/sqrt(5))*5.\nAnswer: 185*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/3018204 and -23\/1868412.\nAnswer: 39236652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l - 110. Let a be p(14). Let s(i) = -8 - 18 + i - a*i + 14. Give s(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24209435 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.5981 + -11.686. Which is the second biggest value? (a) p (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240 (base 6) to base 13.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13668483*v**3 + 4923328*v wrt v?\nAnswer: -82010898*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 10. Let i be (-4 - (g - -489))\/((-1)\/(-314)). Let r = 68174 + i. Round r to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 28 = 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 102. Let u = 47 - m. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 113207 + 34?\nAnswer: 11323b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -797*a + 827*a - 600 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78575701.\nAnswer: 78575701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 9*w**2 - 2*w - 15. Let k be r(5). Suppose k = -g - 3*i + 142, 8*g + 2*i = 13*g - 642. Calculate the greatest common factor of 30 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 0.0236, -2\/11, 3\/5, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/50 at most as big as 3355851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8*-2)\/(11\/(-2))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.63 + 5.63. Put -1.2, -2, v in descending order.\nAnswer: v, -1.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25604735.067 rounded to the nearest one thousand?\nAnswer: 25605000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5075 divided by -596?\nAnswer: 5075\/596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 16. Let i = 13 - 9. Calculate the least common multiple of x and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 13*j**2 + 39*j + 15. Let i be l(8). Which is the second biggest value? (a) 0.02 (b) 1 (c) -2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*z**4 - 3*z**3 - 44*z**2 + 172*z - 216573 wrt z?\nAnswer: -12*z**3 - 9*z**2 - 88*z + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 2452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 18 = -1158. Let c be 2 + (-609)\/q*-1. Let x = 5\/19 - c. What is the third biggest value in x, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8\/11)\/q**(-7))**(8\/3) assuming q is positive.\nAnswer: q**(184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, a: 1}. What is prob of sequence za?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 6 - 0. Suppose -110*s + 111*s = 264. Let f = s - 269. Sort -1, f, r in descending order.\nAnswer: r, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17)\/153 + (-74)\/(-18). Solve 3*t - 2*t - a = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4493084 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/40 - 975\/(-1400))*154\/6\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271317.\nAnswer: 3, 90439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1047 = 5*b - 4*l, 5*l = 3*b - 642 + 6. Let r = b + -183. What is the lowest common multiple of r and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 32*q + 36. Let b(k) = k - 1. Let d(r) = 16*b(r) - v(r). List the prime factors of d(-7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*f = 330. Let n = 99 + f. Suppose -248 + n = -3*y. Is 34 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.016? (a) 10\/17 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 27*v = -29*v - 135 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -47099.8, -2, 4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**10\/(a\/((a*a**20\/a*a)\/a)*a*a) assuming a is positive.\nAnswer: a**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277561 is divided by 2724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -4. Suppose -3*r + 4*r = w*l + 25, -5*l = 5*r. Solve 3*t = -f - 4, 0 = -r*f + 6*f - 2*t - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*j - 436*j + 109*j + 115*j + 101*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2077952?\nAnswer: -5\/2077952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**4 + 3*b**4 - 2*b**4 + (-2*b**3 + 6 - 8 + 4*b**3)*(-6*b - 8*b - 3*b).\nAnswer: -37*b**4 + 34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 2205.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2126 is divided by 142?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**6\/120 + 5*s**2. Let y(h) = -3*h**3 - h**2. Let r(i) = -2*c(i) + y(i). Factor r(v).\nAnswer: -v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/3*d - 7\/3*d**3 + 2*d**4 - 5\/3*d**2 - 1\/3.\nAnswer: (d - 1)**2*(d + 1)*(6*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301013042 (base 5) in base 8?\nAnswer: 4421252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7131.3 - -0.026307\nAnswer: -7131.273693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/640332 and -139\/1512.\nAnswer: 1280664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44267 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (8 + 13) - -30.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 29*z + 8. Let o(k) = k**2 - 14*k + 4. Let b(y) = -13*o(y) + 6*w(y). Suppose 0*n - 2*l = -n + 12, 0 = -n - l + 3. Calculate b(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/30 + (-6)\/10 + -103. Let y be (-9121)\/j - ((-4)\/(-30))\/(-1). Let k = 33 + y. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017768 rounded to six decimal places?\nAnswer: -0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2 - 14 = 0. Suppose -2*w + 5*z = -5*w + 853, -2*w = a*z - 566. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 17 (c) 5 (d) -7 (e) 164 (f) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -266a (base 11) to base 8\nAnswer: -6610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 2) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 346481082562 + -346481083216.000001204. Let n = z - -654. What is n rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-21)\/33)\/(23\/506)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (-1 + -13 + 7 - 12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -233*r**6\/120 - 217*r**3\/3 + 242*r**2 - 1. Differentiate f(w) with respect to w.\nAnswer: -699*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.13 (b) -1\/7 (c) -0.11 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {e: 1, l: 3, z: 1, x: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.943229s to microseconds.\nAnswer: 943229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21576.\nAnswer: 2, 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 less than 9.99?\nAnswer: -465.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 4*h - 87. Let a be r(9). Let b = 852 - 3373\/4. What is the common denominator of b and (-30)\/(-4)*(a\/148)\/(-5)?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwgg when four letters picked without replacement from rewgwhgnr.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eaeeeeeeeeaeeeeeee. Give prob of sequence ee.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122.818 millilitres in litres?\nAnswer: 2.122818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + p = 8, v + p + 3*p = -1. Suppose 2*m - 2*l - 120 = 0, -3*m = -4*l - 215 + 34. Let b = m - 54. Solve b*g = 4*i - 6, 0 = 3*g + v*i + 8 + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614029 is divided by 613939?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(l**3 - 3*l + 3*l) + 6*l - 6*l - 4*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 452 and 36.\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423 - 15.\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 10:53 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 69. Calculate a(-16).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 23485\/22 - (5\/10)\/1. Calculate the greatest common factor of 44 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*w + 5 - 8*w - 6*w**3 + 3*w wrt w.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5 = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 7*l**2 + l - 3. Let x be n(7). Find the third derivative of -2*c**2 - 6*c**x + c**4 + 2*c**4 wrt c.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1135 - 2269\/2. Let c(q) be the first derivative of -1\/4*q**4 - 10 - j*q**2 + 5\/3*q**3 - q. Calculate c(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3934 and 120677136.\nAnswer: 844739952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/3*(-492)\/(-2132))\/(2*1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8585988 milliseconds in minutes?\nAnswer: 0.00001430998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -191\/93 - 7\/62. Let n = 9\/4 + i. Which is the second biggest value? (a) n (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a factor of 471485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 402? (a) -9 (b) 0.268 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4182.99983832 + 4183. What is h rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -5. Suppose 3*b - 5*b = u. Let d be (-12)\/(-2) - (-4)\/(-4). Put 1, d, b in decreasing order.\nAnswer: d, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137bd (base 15) in base 5?\nAnswer: 4000003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220295 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 662*q - 655*q. Sort q, 13, 1.\nAnswer: 1, q, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(18\/(-28)))\/(12\/54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -25. Let h = 138 - 1244\/9. What is the third biggest value in g, h, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/5 - 20*v + 5421\/5 = 0. What is v?\nAnswer: -139, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0055 and 0.50469.\nAnswer: 0.51019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - -2*sqrt(121))*-1 - sqrt(121) - sqrt(121)*3*-2)\/(6*-2*sqrt(396)*1).\nAnswer: -sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6491057288 + 0.6491. Round b to 7 decimal places.\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2873 is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150834386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 198\/(-396)*(-4)\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06275479 to three dps.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1327 - -1?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 273 - 251. What is the third derivative of 2*a - h*a**3 - 44*a**2 + 98*a**2 - 52*a**2 wrt a?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 329764671759.680473308 + -329764672372. Let c = -23.319529402 - y. Let l = c - 589. Round l to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*h. Suppose -2*c + 6*c + 16 = h. Let g = 0.9 - 1. Which is bigger: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6297 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 483153 + -285524. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 18 = -6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 0.2 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0*i - 1. Let p(f) = i + 2*f**2 + 1 - f**2 - 4*f. Is 3 a factor of p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by ((-5)\/((-25)\/(-42)))\/((-6)\/100*5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -184*n + 6388. Calculate l(33).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -232 * -1026\nAnswer: 238032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008218 to 7 decimal places.\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 19*t**2 - 23*t - 12. Let z = 11 - 39. Let v = 10 + z. Is k(v) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -101*s**2 - 5*s + 181. Let f(m) = -504*m**2 - 24*m + 904. Let t(i) = -5*f(i) + 24*w(i). Differentiate t(v) with respect to v.\nAnswer: 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -13*b**7\/42 - 9*b**3\/2 - 23*b. What is the second derivative of k(z) wrt z?\nAnswer: -260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i + 3*i - 2*i)*(5 - 1 - 2 + (-2 + 2 + 1)*(2 - 3 - 2)) to the form j*i + q and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 2 + 2)*(-2 + 2*k + 2) + 0*k + k**3 + 0*k + (-4*k + 0*k + 5*k + 3)*(k**2 - k**2 - k**2).\nAnswer: -4*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115580625 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 17*f**2 + 4*f - 5. Let x be q(1). Suppose -y + 12 = -4. What is the greatest common factor of x and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 1*sqrt(108))\/sqrt(4) + (sqrt(27) - (sqrt(27) + (sqrt(216)\/sqrt(72) - sqrt(27)))))\/(sqrt(36)\/sqrt(4)*-4*1) + 5.\nAnswer: -2*sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/(-35))\/((-21)\/35). What is o in -c*o**2 - o - 2\/3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -39. Suppose -d*o + 8 = -2*o. Suppose o*r - 97 = x, -3*r + 5*x = -14 - 121. What is the greatest common factor of 75 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108669679 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 10*i - 21. Let p be n(-12). Suppose 4*w - 2357 - 31907 = -p*q, -2*w - 4*q + 17142 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 930 - 915. What is the second smallest value in -4, k, -6, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120501 + 5?\nAnswer: -120463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1209 is divided by 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.05 (b) 22 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (1*61)\/(1 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = 33 - 77 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**0\/(d**(-2)*d*d*d)*d\/d**11*((d**8*d*d)\/d*d)\/d assuming d is positive.\nAnswer: d**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 16*t - 2. Let l be g(-13). Let p = l + 147. Solve -z - 3*x - p = 0, 3*x + 5 = 3*z + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 24 - 16 = 0. Let n(q) = q - 14. What is n(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/105)\/((-40)\/28).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933972730?\nAnswer: 2, 5, 23, 4060751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 14*g - 24. Let i = -120 - -92. Let s be (-14)\/42 - i\/3. Does 2 divide o(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70656 and 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -650 - -659. What is the remainder when 47 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -2\/7, -10, -2\/9, -3, -6291, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 - 12202*w**2\/3 + 24422*w - 36642.\nAnswer: -2*(w - 3)**2*(w + 6107)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10149074 is divided by 92.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsqqsmw. Give prob of sequence qwsr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 281461489 or -2\/3?\nAnswer: 281461489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + -3. Let o = z + 11. Suppose 0 = 3*b - 0*b - 15. Calculate the lowest common multiple of o and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -13. Let f(g) = -g - 1. Let q(u) = 7*u + 1. Let t(l) = 6*f(l) + q(l). Let s be t(x). Solve 3*z = -3*r - s*z + 32, -2*z + 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -17. Suppose c + 4*c = -t + 63, 18 = t - s*c. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 86, 335, 744, 1307, 2018, 2871, 3860, 4979?\n\"Answer: -n**3 + 86*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -23. Let l = -3555 + 3555.08. Put 0.2, l, 5, w in ascending order.\nAnswer: w, l, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/753568 and -53\/2825880.\nAnswer: 11303520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 12:38 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54419 + 0.0695815.\nAnswer: -54418.9304185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 14 = 4. Let j = 27 - p. Suppose n = 2*n - j. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.42 - -0.02. Let j = -8.7 - -9. Let i = -2 + 2. What is the closest to 2 in i, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 4. Let n be f(-3). Suppose 15 = 2*m - n. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3637*n**4 - 3*n**3 + 1447. Let r(a) = 7276*a**4 + 7*a**3 - 2883. Let l(x) = -7*j(x) - 3*r(x). Find the first derivative of l(c) wrt c.\nAnswer: 14524*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3512 + 4732. Is -1\/4 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c - 33*c + 40*c. Let f(d) be the first derivative of 63*d**2\/2 - 25. Calculate f(t(l)).\nAnswer: -63*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000845523 rounded to 7 dps?\nAnswer: -0.0000846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50670, -101341, -152012?\n\"Answer: -50671*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -17*t**7\/42 + 3*t**6\/10 - t**5\/20 - 304*t**4\/3 - 1600*t. What is the third derivative of q(i) wrt i?\nAnswer: -1020*i**2 + 216*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 406428690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*k = -124*k + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 18*g**2 - 2 - 5 + 4 as k*g**2 + s + y*g and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19, -44, -73, -106?\n\"Answer: -2*p**2 - 19*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000040072 to seven decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -1. Let s(b) = -2*b - 26. Let m be s(n). Factor 3\/4*z**3 + 1\/4*z - 3\/4*z**2 + 0 - 1\/4*z**m.\nAnswer: -z*(z - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 72319543333902?\nAnswer: -72319543333901.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -87*x. Let v(r) = 4*r. What is y(v(a))?\nAnswer: -348*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l**2 - 8*l**2 + 9*l**2)*(1 - 1 + l)*(l - 7*l + 4*l).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 8, 3, 0.8, 15393?\nAnswer: 15393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 813\/(-2)*52\/(-13). Suppose -1307 = -4*s - 3*d, -4*d - o = 3*s - 8*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by -3574949.\nAnswer: 65\/3574949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)\/o*o*o**(3\/4))\/(o**(2\/19)\/o*o**(-4)))**(2\/67) assuming o is positive.\nAnswer: o**(1993\/12730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94748*d**4 + 5*d**2 + 562?\nAnswer: 2273952*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 6*g - 3*g. Let q(a) be the second derivative of -a**4\/6 + 2*a. Give n(q(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3510\/(-210))\/39)\/(2\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 + 2 - 7*i**3 - 2*i**2 + 6*i - 2 + 2*i**4 to o*i + k + x*i**3 + m*i**4 + a*i**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 281963, 281965, 281967, 281969?\nAnswer: 281971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 y when four letters picked without replacement from {t: 3, u: 5, l: 4, c: 1, y: 5}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18388737 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = -48*h + 34*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32644299.\nAnswer: 3, 19, 572707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 20 = -4*h, 7*w - 10 = 2*w - 5*h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2 + 6 + 2*z + (0 + 0 - 19)*(z + 24*z + 85*z) + 2 - 2 - z as i*z + t and give i.\nAnswer: -2089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1623*x + 1618*x + 14187*x**3 - 10191*x**3 as c*x**2 + b + t*x**3 + h*x and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7, 2\/13, -1.6, -2\/9?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -44*u + 379. Let w(m) = 125*m**2. Determine i(w(c)).\nAnswer: -5500*c**2 + 379","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 535301621 + -12?\nAnswer: 535301606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3903, 3889, 3863, 3819, 3751?\n\"Answer: -m**3 - 7*m + 3911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 749096513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5 - 27*p + 3 + 14*p + 2. Let k(q) = q**2 + q**2 - q**2. Determine k(y(m)).\nAnswer: 169*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (245\/1)\/(-15 - -16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 + 2*y**2 + y**2)*(477*y - 136*y + 339*y) to h + g*y**3 + z*y**2 + x*y and give g.\nAnswer: 1360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*j = -64, 2*p = p - 4*j + 59. Suppose 0 = w - 5*s - 18, -4*s = -3*w + 26 + p. Suppose 0 = w*f - 22*f. Solve -2*h + 4 = -f*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 6*v**2 + 4*v - 2. Suppose -3*y + 105 = 2*q + 2*y, q - 5*y - 45 = 0. Suppose 0 = -4*o + 4*a, -6*o - 5*a + q = -o. Determine c(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let g be ((-4)\/(d\/(-2)))\/1. Let k = -94 - -94. Solve -2*r + 0*r + g = k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15337 or -15336?\nAnswer: -15337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001989 rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81\/8 + -1717\/168. Let y = 499.7 - 500. What is the closest to y in -1, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q**3 + 1811*q**2 - 1133*q + 453. Determine c(-227).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11233222 + 113?\nAnswer: 11300001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = 5*g - k + 18, -g + 4*k - 9 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 20 = -z, 1648*c - 1643*c - 96 = 2*z. Calculate the common denominator of z and -76\/639.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3129777 is divided by 1077?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n = 30*n - 660. Is 33 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 31*n**2 - 85*n - 85. Let x be r(-34). Let y = -1990\/3 - x. Which is the nearest to -1? (a) -2 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**2 - 469902*c - 21619724 = 0.\nAnswer: -46, 234997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbcbokbobtoaokkkooaa. Give prob of sequence tk.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 1310?\nAnswer: 6550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-9)*j*j**(2\/5)*j**(-9)\/(j\/j**2) assuming j is positive.\nAnswer: j**(-73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1400910 and 539.\nAnswer: 15410010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1176.53um?\nAnswer: 1.17653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10210022 (base 3) in base 12?\nAnswer: -1722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8*-16124\nAnswer: 128992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -4*x**4\/3 + 2*x**3 + 14*x**2 - 2*x + 85. Let m be j(-2). Is -60 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -13*g**2. Let w(l) be the third derivative of -2*l**5\/5 - l**3\/2 - 938*l**2. Calculate a(w(v)).\nAnswer: -7488*v**4 - 1872*v**2 - 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqrrqrqrqnqnq. Give prob of sequence qrnr.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 5*y**2 - y + 1. Let d be b(-4). Let h be 4\/(-8) - d\/2. Suppose h*k = 8*k - 54. Solve -5*z - a = -k, -a = z - 1 - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**5 + s**3 - s**2 - 1. Let m(t) = 4*t**5 + 3*t**3 - 2*t**2 - 3. Let k(p) = m(p) - 3*r(p). Find the third derivative of k(i) wrt i.\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t - 14. Let m be l(-4). Solve 0 = m*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1064*m + 1. Let x(p) = 1274*p + 1. Let c(y) = 6*f(y) - 5*x(y). Let g(a) = -a**2 - 4*a - 4. Let d be g(-3). Give c(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037795625 to 5 dps.\nAnswer: -0.00378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 64.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-7) + 1 + -7 - -1. Let i(c) be the first derivative of -7*c**2\/2 - 5*c + 1. Let a(v) = -8*v - 6. Calculate x*a(p) + 6*i(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -4*w + 71, -24*l + 27*l = -9*w + 36 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 810 + 811. Let f(l) = 13 - 7*l - 4*l - 9*l - v. Let n(g) = 7*g - 4. Calculate -6*f(x) - 17*n(x).\nAnswer: x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*d = d - 52, 5*d + 36 = z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -4 - (-5)\/(-5)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106490 and 1150?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f + 38*f - 18 = -3*q, -q = -3*f + 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 74. Suppose 3*p + c = -5*t, -2*t + 5 = -5*p - 16. Is t <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25100444 divided by 14054?\nAnswer: -1786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-532)\/133)\/(2*-3))\/((-5)\/((-60)\/28)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.4 - -5. Let r = 0.03 - 0.07. Let g = -0.14 - r. Put -2, d, g in increasing order.\nAnswer: -2, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 plus 185.69190616?\nAnswer: 185.65190616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5784046 and 340.\nAnswer: 57840460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*r + 32 - 22 = 0, 3*m - 8*r = 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -18*i**4 - 4*i**3 - 4*i**2 + 6*i. Let o(z) = -19*z**4 - 5*z**3 - 5*z**2 + 7*z. Let w(r) = 4*o(r) - 5*t(r). Find the second derivative of w(s) wrt s.\nAnswer: 168*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 21*u**4\/4 - 12*u**3 - 6*u**2 - 161. Solve n(z) = 0 for z.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 520, 2445, 5774, 10507, 16644?\n\"Answer: 702*j**2 - 181*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let u be q(-3). Suppose 3 = u*r - 21. Let k = 8 + r. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**2\/13 + 990*p\/13 = 0.\nAnswer: 0, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*0.3391813.\nAnswer: 0.016959065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 360, 2, -1, 8 in decreasing order.\nAnswer: 360, 8, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -26.1459 * -28\nAnswer: 732.0852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:45 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Let x(h) = 20847876*h. Calculate x(c(a)).\nAnswer: 41695752*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -188*k - 4. Let o be h(4). Let u be 4\/14 - 4\/o*-12. What is the nearest to -0.1 in 0.4, -1\/5, u?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 121*k - 2084. Let p be j(100). Solve 0 = 4*i - 4*l - p, -32*i + 3*l = -37*i - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 0.1, -2, -489, 2, 4 in descending order.\nAnswer: 42, 4, 2, 0.1, -2, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.3 + 3.7. Let t = -16.8 + v. What is the smallest value in t, 3\/7, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**2 - 5*i**3 - 10*i**2 - 16*i**2 wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21320 - -121?\nAnswer: 21441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19 + 15\/5)*(-1 - 2). Let m = 60 - f. Calculate the least common multiple of 18 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g + 4. Let t(l) = -9*l - 5. Let n(s) = -4*t(s) - 5*v(s). Let a = -39 + 42. Let y(d) = -a*d - 2*d - 6*d + 9*d. Calculate y(n(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 0.5961.\nAnswer: 0.5961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(2\/125)\/(((g*g**(-2\/3)*g*g)\/g)\/g*g*g**(-11)) assuming g is positive.\nAnswer: g**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -34, -4, 2\/11, 0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 333398912 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 475, 713, 951, 1189?\nAnswer: 1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84337685*i**2 + 8287549*i + 2 wrt i.\nAnswer: 168675370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -20*j - 8. What is s(2)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + sqrt(171))**2.\nAnswer: 12*sqrt(19) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -3101*b**2\/2 + 4*b - 3. Let t be p(4). What is t rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4006 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 3. Let t be (-1 - -1) + -1 + h. Suppose 2*j = 4*q - 36, q + 4*j = -t*q + 49. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0067 + 0.241?\nAnswer: 0.2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7))**(-26)*(l**3)**(-2\/11) assuming l is positive.\nAnswer: l**(1996\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-3)*-1*2. Let x = 145 + -150. Sort 2, x, h in increasing order.\nAnswer: x, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 694.0968 litres to millilitres.\nAnswer: 694096.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 3*o + 11, 15*i - 235*o + 240*o - 45 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 344 - 344. Suppose w = 4*c + 9*v - 4*v - 14744, 3*c - 11085 = 3*v. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 20 + (-90 - -80)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by -16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/5*(-155)\/2. Suppose -107 = -4*p + m. Calculate the remainder when p is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 534\/(-216) + 6*(-8)\/192*-1.\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 956776.9mm?\nAnswer: 95677.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*u**2 + 9*u**2 - 30*u**2)*(-11 + 11 - 3*u).\nAnswer: 129*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -3*f**2\/2 + 27*f + 981. Give j(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k - 205 = 0. What is the remainder when k is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 20792?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 3*c**5 - 2*c**5 + (-4*c - c - 2*c)*(3*c - c + 0*c)*(-c**3 + c**2 - c**2).\nAnswer: 16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 4)*(-4*d + 0*d - d) + (d - 2 + 2)*(1 + 3 - 5) + d - 5*d + d + d + 8 - 8.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 91800 to the nearest one thousand.\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -190406106 divided by 1923294?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6377*x + 3184*x - 2 + 3185*x. Let d(g) = -16*g - 5. Determine 2*d(m) - 5*v(m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyyyvlkkkykvyllvvllv. What is prob of sequence kk?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - p**2 + 6*p - 26. What is l(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.469, 4.7, 0 in ascending order.\nAnswer: -0.469, 0, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, b: 3}. Give prob of picking 3 e.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(325))**2 + 0 + 2 + sqrt(13) + sqrt(143)\/(sqrt(66)\/sqrt(6)))*4.\nAnswer: 8*sqrt(13) + 20808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (48\/10)\/(21\/560) and 10?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27674130 divided by 29598\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -60?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - g**2 - g**3 + (1 + 1 - 4)*(3*g**3 - 4*g**3 + 4*g**3 + (0*g - 2*g + 0*g)*(3*g**2 + 0*g**2 - g**2)) to l + u*g + n*g**3 + s*g**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(343) + -4.\nAnswer: -7 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -5*u - u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4091904 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, 0.06, -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*g**2 + g**5 + 5*g**5 + 0*g**2 + 28*g**5 wrt g.\nAnswer: 2040*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + 40*l**2 + 2*l - 40*l**2 + (l**2 + 0*l + 0*l)*(-3*l + 5 - 5).\nAnswer: -l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/342*16\/(-12)*3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*r = 24, 2*j + 2*r = -0*r. Suppose -n = j*n - 65. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/23 in -0.1, -0.2, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.3 (b) -61 (c) -5 (d) 2 (e) -72\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 4*c + 4. Let r be v(3). Let y = -267 - -6407\/24. Is y bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r - 7. Let n(c) = -19*c + 6*c + 11*c - 9 + 6. Give -9*n(y) + 4*u(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (2 - -1 - (-5 - -7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245086 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.17349 - 3.17349. Let k be ((-27)\/12 - -2) + 1. Which is the closest to -0.1? (a) k (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -0.2, 3 in descending order.\nAnswer: 36, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)\/v**(4\/3))**(34\/7)*(v**(-2\/3)*v*v**1\/v*v)\/(v**(-1\/4)*v)**(-12) assuming v is positive.\nAnswer: v**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/2, 1, -9\/5, -5, -2\/11?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-9)*(x\/(x*x**(4\/11)*x*x))\/x*x**(1\/14)\/x**(-2\/19) assuming x is positive.\nAnswer: x**(19935\/2926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -163000 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 6*f + 234. Factor -18*z - 5*z**4 - f*z - 48*z**3 - 135*z**2 + 3*z**3.\nAnswer: -5*z*(z + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - v - 1. Let x(b) = 43*b**2 + 4*b + 6. Let n(t) = -x(t) - 5*z(t). Let i be n(1). Let k = -27 - i. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 2)*(-689*f**2 - 373*f**2 - 755*f**2 + 322*f**2 - 2*f**2) as x*f + l*f**2 + z and give l.\nAnswer: -2994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 388*t = 384*t - 8640, 4*t + 20 = 0. Does 102 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/9)*z*z*(z*z**(-8\/5))\/z assuming z is positive.\nAnswer: z**(-2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 890057050 to the nearest one million.\nAnswer: 890000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from dlottlvldlddpdv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = 21 + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29565078.\nAnswer: 2, 3, 4927513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + h - 18. Give b(-5).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -882 - -757.4. Let r = x - -39. What is r rounded to the nearest integer?\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 6:21 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.13 (b) 3.062 (c) 2\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 565621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37415923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i + 68. Let d be s(0). Suppose d = 4*y - 48. Let f(m) = -m + 2. Let n be f(-3). Solve -t + 2*u + 9 = 0, t - y = n*t + 5*u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -6 - -3 - (-298 - 1) - 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than 3442.8?\nAnswer: 3454.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhmmmmmmmmmmmmm. What is prob of picking 2 m?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 2. Calculate f(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 900013751 to the nearest integer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**5\/10 - 2*l**4\/3 - 89*l**3\/3 - 84*l**2 + 4468*l. Solve y(m) = 0.\nAnswer: -7, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, v: 1, i: 3, a: 2, c: 2, b: 1}. Give prob of picking 1 c, 1 i, and 1 v.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007565 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 4. Let x = 7027 - 407591\/58. Let j = x - 2\/29. Is u at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*s + 114*s = 3*w - 3, 3*w = 3. Suppose 0*m - 2*m = -8. Solve 4*y + m = -s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -290 + 159. Let d(b) = b**3 - 13*b**2 + 13*b + 5. Let f be d(9). Let i = a - f. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 2. Let w be i(-3). Let k = -4 + 4. Let t(m) = -m**3 + 9*m**2 + 2. Let g be t(9). Solve 3*j = -4*c - k*j + 8, w*j = -c + g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79750 by 290.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/11 - 76*x**2\/11 - 510*x\/11 - 72.\nAnswer: 2*(x - 44)*(x + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140 - 100. Let k(a) = -3*a**3 + 2*a**2 - 1. Let p be k(1). Let c(r) = -7*r + 2. Let y be c(p). Calculate the greatest common factor of i and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = q. Which is smaller: q or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -33*k + 20. Let y(a) = -33*a + 18. What is 5*n(t) - 6*y(t)?\nAnswer: 33*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 119*y - 4901. What is the remainder when 823 is divided by r(43)?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2. Let k(b) = 3*b**2 - 3*b. Give g(h) - k(h).\nAnswer: -2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 18406.32 months?\nAnswer: 1.53386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/211076 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than 52.587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 2 = -2*g - 3*a, -3*g + 3*a = 36. Let i be g + (-1)\/(-1)*0. Let y = i - -55. What is the highest common factor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(7)*-2))\/(2*sqrt(400)) + (sqrt(245) - (sqrt(245)*1 + -5)) + ((sqrt(245)*2 - sqrt(245)) + 4)**2.\nAnswer: 2239*sqrt(5)\/40 + 266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - j**2 - 2*j + 1. Let o(q) be the first derivative of -1\/3*q**3 - 1\/2*q**2 + 2 - 2*q. Let n be o(0). Determine t(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*q + 143 = -297 - 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -520574 - -520570. Let y(d) = d**2 + d + 1. Let s(v) = 3*v + 3*v**2 + 0*v - v + 2. Give q*y(j) + 2*s(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*s**4 - 4*s**4 + 3450*s**2 - 3461*s**2 wrt s.\nAnswer: 504*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/7*z**3 - 1\/7*z + 114\/7 - 114\/7*z**2 = 0. Calculate z.\nAnswer: -1, 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 38, -0.4 in decreasing order.\nAnswer: 38, 3\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-9))\/((-1052)\/4734). Let v(w) be the first derivative of 0*w**q - 50\/3*w**3 - w + 27. Find the first derivative of v(x) wrt x.\nAnswer: -100*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -45.905. Let n = 0.09 - r. Round n to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-60)*(-2)\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(66)\/sqrt(3)*3)\/((-1*sqrt(132))\/sqrt(12) + sqrt(11) - (sqrt(44) - (sqrt(44) + -1*sqrt(44)))) + 5.\nAnswer: -3*sqrt(2)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/19))**(-1) assuming k is positive.\nAnswer: k**(-3\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 31\/2 of a minute?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -579572059, -579572054, -579572045, -579572032, -579572015, -579571994, -579571969?\nAnswer: -579571940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -6. Let d(c) = 2 + 1 + c**2 + t*c + 2*c - 2*c**2. Let g be d(5). Put 0.5, 1\/4, g in ascending order.\nAnswer: g, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 7*o**5\/15 + o**4\/12 + 18*o**2. Let j be -3*2\/6 - 1. Is b(j) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1365922*a**2*k**2 - 26785*a*k**2 + 3*k**2 wrt a.\nAnswer: -2731844*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(187))\/sqrt(11).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5572301?\nAnswer: 7, 19, 41897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.02 - 0.42. Let n = 1.78 - 0.18. Let p = q - n. Which is the nearest to 6? (a) -0.4 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -553\/6 - -601661\/6528. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51123066 is divided by 364?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*b + 32*b - 24 = 2*l - 13, -2*l + 3 = b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-5 + (4 - 9) + 7) - -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 304 + -1530. Let l be m\/26 + (-12)\/(-78). What are the prime factors of (7 + -15)*l\/4?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.0636, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 782 = -46*i - 0*i + 966. Solve -k + 8*m = 3*m - 10, -8 = 3*k + i*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y. Let z be 13\/(-312) + (-1)\/(-8). Let f(a) be the second derivative of z*a**4 + 0*a**3 + 0*a**2 + 0 - 3*a. What is f(r(p))?\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -526932 divided by 492.\nAnswer: -1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1082387 (b) 5 (c) 4\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*t - 3*t. Let u = 18 + -10. Let i = u - t. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*h - 2*z + 6542, 8736 = 4*h - 4*z. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-1187 - 1106 - 2467 - 1143)*(0*h**2 + 0*h**2 - h**3).\nAnswer: -5903*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -235301 (base 6) to base 16\nAnswer: -5095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 3 + 11 + -12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 922, 1851, 2780, 3709?\nAnswer: 4638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 13*u**2 - 32*u - 41. What is the thousands digit of p(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 216039?\nAnswer: 1296234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*1\/(68\/(-119)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110 - -216. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (-11 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*f + 138*f + 3*x + 6 = 0, 3*f - 4*x = 18 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523429746 is divided by 477.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -7. Let n be (200\/30)\/((-4)\/(-3)). Suppose b*p = n*p - 82. What are the prime factors of p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, -0.05, -2\/7, -3\/2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 6*t - 6. Let m = -16 - -11. Let g be q(m). Suppose 0 = -3*s + 5*d + g, 5*s - 10 = -0*d + 5*d. Let n(y) = y + 1. What is n(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 28\/173 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 367. What is the tens digit of n(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-264))\/(-2*10\/(-1040)).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 527. Let u be 0\/((-3)\/3*-1). Is n(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-18*170\/(-2312)*(-6)\/9). Factor -16\/5*d - 1\/5*d**3 + i*d**2 + 0.\nAnswer: -d*(d - 16)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.094 minus 105711386?\nAnswer: -105711386.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79.1 + 79. What is the fourth biggest value in -4, 1\/3, -1\/4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 3*r + (2 - 3 + 4)*(-4*r + 0*r + 3*r) - 5 + 4 + 6*r + 1 - 23*r.\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207 + 409 - 202 - 3*w + w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.54 (b) 6 (c) -3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 1:02 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - i = 16, 4*o + 0*i = -i + 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by 3\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*j - 124*j - 1213 + 1061.\nAnswer: 532*j - 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/(-11880)*-108*((-7)\/(-3) + 2 + -4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {f: 3, o: 4, l: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z. Let n(i) = -1038*i - 2369. Determine n(k(w)).\nAnswer: 2076*w - 2369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 14*j - 36 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 113949\/55 + (-2)\/(-10). Calculate the remainder when 197 is divided by 4\/26 + p\/52.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -0*d - 3*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86618 is divided by 246.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -23*h + 71. Let g be b(3). Suppose 3*p = 2*n + 12, -g*p + 7*n - 3 = 2*n. Solve 9*a = p*a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 7) in base 9?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -8402, -5\/6, -2\/23?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, f: 2}. Give prob of sequence ff.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 197455133 to the power of 1\/2, to the nearest integer?\nAnswer: 14052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3285, 13\/2, 1892?\nAnswer: 1892","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 7 = -67. Suppose l + 287 = 5*g, -1287*l - 110 = -2*g - 1289*l. Calculate the remainder when g is divided by (f\/(-4))\/(3\/(-12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (7 - (5 + -2 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s. What is the lowest common multiple of 4 and n(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -109253, 1 in descending order.\nAnswer: 2, 1, -109253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*l - 6. Let f be ((-21)\/(-7))\/(6\/l). Is -3 - 113\/f*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -310688, -310754, -310938, -311300, -311900?\n\"Answer: -10*t**3 + t**2 + t - 310680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26040 - 25979. Calculate the remainder when c is divided by (-3)\/6 - (-33)\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -w - 2, q + 3*q = -w + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 56 = -0*i + 4*d, -5*d = 15. Let a(h) = h**3 - 18*h**2 + 33*h - 33. Is a(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135828 and 151172.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 3823 = 3289. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**4 - 8*w**3\/3 - 10. Find g such that f(g) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 - 3*d**2 - 4*d + 3. Let c = 46 - 42. Let i(u) = -7*u**3 - 7*u**2 - 9*u + 7. Give c*i(m) - 9*p(m).\nAnswer: -m**3 - m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + w**2 + 2*w + 2. Let s be h(-3). Suppose 4*g - 12 = 0, 3 = -4*v + 5*g - s. What is the third biggest value in -1\/7, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/3)\/w*w\/((w**(-7)\/w)\/w*w)*w**10*w*w**(-21)\/w*w assuming w is positive.\nAnswer: w**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6882 + 7909. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 3, s: 9, m: 1}. What is prob of picking 1 u and 1 i?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-42)\/(-56))\/(1\/32*4). Suppose g*k = 48*k - 12012. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 322, -4, -0.1857?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r + 2. Let n be y(-7). Let m(x) = -x**2 - 13*x - 10. Let l be m(n). Find the third derivative of 6*v**3 - 10*v**3 - 3*v**2 + 21*v**l wrt v.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/43*((-85)\/624 + 2\/8) and -55\/1352.\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + 41 - 87 + 95111*m.\nAnswer: 95111*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41295784, 41295785, 41295786?\n\"Answer: a + 41295783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -69829081.0299?\nAnswer: 69829080.9299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**2\/2 + r + 12. Calculate b(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07 != 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*x + 108 = -52 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/6 - (-1)\/1. Suppose -4*b - o + 134 = 0, g*b + 5*o = -2*b + 175. Calculate the remainder when 163 is divided by b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1552*v**2 - 154271 + 154271.\nAnswer: -1552*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmmvnmmnmbmmm. What is prob of sequence mm?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 0*s - 9 + 0*s**2 + 4\/3*s**3. Let x(z) = -2*z**2. What is c(x(y))?\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = -5*t. Suppose 0 = -0*f + f + t*h + 5, 0 = -3*f + 3*h + 21. Suppose o - f*o = 5*r - 25, -4*o = 3*r - 26. Is r != 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1 = -2*f + f, n - 7 = -2*f. Suppose -3 - 3 = -f*z + 2*y, -4*z - 12 = 4*y. Suppose -2*u = 3*s - z*s - 30, 4*s - 44 = -4*u. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4262926 millilitres?\nAnswer: 0.0004262926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21315721561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**5 - 15*c**4 + 18*c**3 + 6*c**2 - 21*c + 9 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 14486821.\nAnswer: -5794728.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - -276130?\nAnswer: 276141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + -6*sqrt(208) + -4 + ((sqrt(13) - (0 + sqrt(13) + -5))**2 - (sqrt(117)*-4 - sqrt(13)))).\nAnswer: -22*sqrt(13) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u\/((u*u**9)\/u))\/u)*u*(u**(5\/6)*u)\/u*u*u**(5\/3)\/((u**1\/u)\/u) assuming u is positive.\nAnswer: u**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53672 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 31*r + 624. Let j be n(-24). Which is smaller: -1308\/11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 + 66*o - 49. Determine i(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34582.\nAnswer: 2, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a3 (base 12) to base 10.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 10*c + 10. Let h = -260 - -268. Give j(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.012.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 44 - 524*z + 21 + 11 as k*z + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3163 - 869 - y - 3*y + 5*y.\nAnswer: y + 2294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:23 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 14*w**2 - 16*w - 22. What is the units digit of s(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 203\/33540 and 23\/134160.\nAnswer: 134160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 119213.37s?\nAnswer: 33.114825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**19*w)\/((w\/(w**21*w))\/w) assuming w is positive.\nAnswer: w**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/(2\/516). Suppose 4*t = 2*h + z, -h = 2*t - 16 - 37. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 5*h**2 - 2*h - 1. Let c be z(-2). Is c >= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**6\/60 - 37*a**5\/6 + a**4\/12 + 185*a**3\/3 + 31*a**2 + 11. Factor q(x).\nAnswer: -2*(x - 1)*(x + 1)*(x + 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = z - 2. Let d = 2 - z. Which is the second biggest value? (a) d (b) -0.7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 81.70889 nanograms?\nAnswer: 0.00000000000008170889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 126.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*t = 185*t + 2368 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + 2*d**4 + 0*d**4 + (12*d**3 - d**3 - 10*d**3)*(7*d - 10*d - 12*d).\nAnswer: -14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2. Let h(f) = -4*f**2 + f. Let r(q) = -q**3 + 12*q + 2. Let m = 73 - 76. Let o be r(m). Calculate o*d(v) + 2*h(v).\nAnswer: -v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-10*2\/4)\/((-36)\/3))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-290)\/348)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6. Let b = -38\/3 - -15. Which is greater: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 5*c. Let s be -1 + 0 - (-3 - -2). Suppose s*g - 2*g + 14 = c. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.3, 0.6, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 24 + 68*z + 47 as v + d*z and give d.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**2 - 64*n**2 - 7*n**2 + 38*n**2 + 14*n**2 + 14*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(5\/12)\/m)\/m**29)\/((m\/(m*m**7))\/m)**(-1\/4) assuming m is positive.\nAnswer: m**(-379\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**4 - 10*c**4 - 6*c**4)*((-4 + 1 + 2)*(-2 + 3 + 0) + 2 - 3 - 6) to o*c**4 + m*c**3 + q*c**2 + y*c + t and give o.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Let n be t(-2). Let b = 3 - n. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79468?\nAnswer: 2, 19867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/2)*o)**(3\/13)\/(o**(-3\/11)\/(o\/(o\/o**(-3\/4)))))**(-48) assuming o is positive.\nAnswer: o**(900\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5945\/11 >= -541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 92060869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -80 - 3 - 26 + 16*w. What is the tens digit of q(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4572 + 4673 - 9445 - 80*q**2 + 52*q**2 to x*q**2 + j + o*q and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/10 (b) 4 (c) 151317 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/4 - 2*z**3 + 371*z**2\/4 + 1809*z\/2 + 810 = 0. What is z?\nAnswer: -18, -9, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + 5*h**4 - 2*h**4 + (-1 - 3 + 2)*(-2*h**4 + h**4 + 2*h**4) + 20*h**3 + 8*h**4 - 20*h**3)*(-h + 5*h - 5*h).\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 8:59 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 117106 + 5881. Suppose 5*n - 4*l - 821 = 0, 124*n + l = 125*n - 164. Is 2\/11 + q\/n a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.055. Let m = y - 0.025. What is the third smallest value in -0.2, m, -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 73271, 73268, 73265, 73262?\n\"Answer: -3*j + 73274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -20 + -10 - -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 9*q - 12608 = 10*q, s - 2118 = -4*q. Calculate the remainder when s is divided by 696.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 196328.\nAnswer: -5\/196328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-7\/6)\/h)\/((h\/(h\/(h\/((h*h**(-2)*h)\/h)*h))*h)\/h*h))\/((h*h**(2\/11))\/h**1) assuming h is positive.\nAnswer: h**(-353\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - b + 5, 0 = 4*x - 3*b + 9 + 4. Is x*(-6 - (-5 + 9648)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(24) - sqrt(48)\/(-1*sqrt(2)))\/(2*sqrt(1152)) + -1)**2.\nAnswer: sqrt(3)\/3 + 13\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 2256*o - 28990.\nAnswer: -2*(o + 13)*(o + 1115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -721957.9 from 25.4.\nAnswer: 721983.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.59503 - -134.\nAnswer: 134.59503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49588.\nAnswer: 2, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8ba (base 12) in base 14?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/t**(2\/7))*t)**(-9))**(-4\/29) assuming t is positive.\nAnswer: t**(576\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10102220 (base 3) to base 5.\nAnswer: 40013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 - 62 - 127*h + 125 as r*h + g and give r.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4723838 minutes in seconds?\nAnswer: 28.343028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 92, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 6*y**3 - 3*y**3)*(-1 + 1 + 4).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1\/4 (c) 80705448\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*s - 30, 3*b + 3*s = -b - 171. Let y be (1 - (-10)\/(-6))\/(6\/b). Find the second derivative of -3*i**y + 39*i**2 - 39*i**2 - 10*i wrt i.\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 91759.8.\nAnswer: -36703.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39.5 + -40. Let u = -0.07 + -0.03. What is the second biggest value in u, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 30 in ascending order.\nAnswer: 3, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348165.5l to millilitres.\nAnswer: 348165500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 17*k**5\/20 - 10*k**3\/3 + 3*k. What is the second derivative of z(j) wrt j?\nAnswer: 102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -37. Let z be (-2 + n)\/(4\/68). Let l = z + -29. Which is bigger: l or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700204 is divided by 63650.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.24 and -0.0017.\nAnswer: 0.000408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**6\/120 - 14*x**5\/15 - 13*x**4\/6 + 79*x**3\/3 + 2093*x**2. Calculate j(-55).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 17\/55867245?\nAnswer: 17\/55867245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -844 - 1856301452?\nAnswer: -1856302296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12080 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-342)\/45)\/(-1 - 4\/(-5)). Suppose 40*r - g*r + 6 = 0. Is r + (-4748)\/(-3) + 6\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 47567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1511 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b = -13*b - 24*b + 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8600 and 6709075.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -35*n + 37*n - q, -4*n + 8 = 3*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212316681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44086951.\nAnswer: 89, 495359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*c - 45*c + 120. Suppose -3*n + c = -215. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456 divided by -30?\nAnswer: 728\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*n**3 - 61*n**3 + 22*n**3 + (0*n**3 + n**3 + n**3)*(4 - 5 - 3).\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - 4) + (28 - -5). Suppose -34*q = -i*q + 752. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 < 2\/27771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1312 - -248521.26\nAnswer: 249833.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3385030 = -398*g - 3366324 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 3*r**3 - 2*r**3 + (-10 + 12*r + 10)*(-2*r**2 + 0*r**2 + 3*r**2).\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/8*40\/(-250)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 978684 is divided by 25092.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -228, -18, 1582?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 60. Let p = k - -51.99999937. What is p rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 4*j - 4, j + 52 = 3*u + 55 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n - 1. Let a(o) = -3*o + 1. Let i(t) = 6*a(t) + 5*q(t). Let s be i(2). Let d = s + -2. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1913 - 1347. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -79*p**4 - 6914718*p**3 - 201744162480*p**2 - 1962039443039872*p - 149014490182656.\nAnswer: -(p + 29176)**3*(79*p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c**3 - 2*c**2 + c. Suppose 2*y = 3*q - 5, 3 = -3*q + 7*q + y. Let n be h(q). Let f = -7 - n. Solve -4*t = -f*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 195 in 1, 2\/2087, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + 100d23?\nAnswer: 100d1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evleveveeklwe. Give prob of picking 1 w and 1 k.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99793 + -0.5.\nAnswer: 99792.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -806, 0.1, -8, -28?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18907, -37395, -55039, -71419, -86115?\nAnswer: -98707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 5 (b) 4 (c) 1\/4 (d) 0 (e) -0.09 (f) -2\/6737\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 23. Suppose 0 = -5*k - 2*t + 20, t = 2*k + 4*t - n. Solve k*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(544\/(-16))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 107?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3 + 90*h**2 - 459*h - 552 = 0 for h.\nAnswer: -1, 8, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131 + 130. Put -7, 0.7, c in decreasing order.\nAnswer: 0.7, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 13*s + 47919. What are the prime factors of m(0)?\nAnswer: 3, 15973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 49. Let y(x) = -x**2 + 5*x. Let n be y(5). Suppose n*s + 2*z = 5*s - 90, -4*z - 36 = -s. What is the least common multiple of l and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 2747*m - 102 = 2734*m, 3*n - 27 = -2*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -86110 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = -n + 6, 0 = -3*n + 3*t + 9. Suppose 2*l - n*y = 11, -12 = -l - 3*l - 4*y. Solve -2*w - 26 = 4*m, 0 = m + 4*m - l*w + 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 116.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**2 - 9*x**2 + 34*x**2 - 17.\nAnswer: 9*x**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 10 + -6 - 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13404834*w - 1225060 wrt w.\nAnswer: 13404834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s. Let g(r) be the second derivative of 0 - 8*r + 0*r**2 + 1\/3*r**3. What is v(g(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a + 569cb?\nAnswer: 56a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13375617091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*o - 6432 = -17*o + 51*o for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*m + 492, 5*n - m - 679 - 124 = 0. Let j be 192\/n*(-5)\/(-21). Let y = -1 - -0.88. Which is the biggest value? (a) -0.4 (b) y (c) 1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 15 - 24 = -2*q, 0 = 2*q - 3*i - 33. Let y(a) = 4*a - 3. Let u be y(2). Solve 6*p - 3*p = -3*v, -q = -u*p + v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2041 + 3.7959. Which is the closest to -1? (a) -4 (b) 32 (c) y (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*-5)\/(sqrt(12) - sqrt(192)\/sqrt(4))*2.\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4748 - 4763. Which is the closest to -32? (a) t (b) 0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 4)*(i + 3*i + 2*i)*(-28 + 4 + 0) to q*i + v and give q.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-58)\/(-52780)*65?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745.2839 months in years?\nAnswer: 145.440325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 204 - 198. Suppose 2*o - 2*g = -m*g + 88, -4*o = g - 204. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, w: 1, j: 3}. Give prob of picking 1 l, 2 j, and 1 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 209*o**6 + 12*o**4 - 2*o**3 - 6*o**2 + 328*o.\nAnswer: 25080*o**3 + 288*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7360*p - 7344. Determine q(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c13 - -3?\nAnswer: -c10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.0332?\nAnswer: 0.00664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 34 = -9*v + y, -26 = -v + 5*y. Let p(d) = -v + 7 - 7*d**2 + 2*d + d - 5*d. Suppose -167*j + 6 = -161*j. Let r(a) = a**2. What is j*p(h) + 6*r(h)?\nAnswer: -h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -404 - -406. Suppose -20 = -p*b - 3*a, -b + 7 + 3 = 4*a. What is the remainder when 139 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*b + 18 = 0, 14 + 8 = 2*k + 3*b. Let j(x) = -9*x**2 + 4*x + 5. Let g(p) = 5*p**2 - 2*p - 3. Give k*g(i) + 3*j(i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2*b = 53, 0 = 4*d - 3*b - 0*b - 25834 + 25769 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 705739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14898502 divided by 36.\nAnswer: 7449251\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -21\nAnswer: -23\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -2068, -1, 5, 0.44?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(432) + sqrt(432) - sqrt(432))*-1 - (sqrt(27) + 0 - (sqrt(30)\/((sqrt(90) + sqrt(10) - sqrt(10)) + sqrt(10)) - sqrt(3))))**2*-2 + -1.\nAnswer: -37035\/8 - 222*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1527308, 1527304, 1527300, 1527296?\nAnswer: 1527292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.015558 weeks in minutes?\nAnswer: 90876.82464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -0.1. Let w = 0.5 - j. Let f = -32\/39 + 2\/13. What is the nearest to 1 in -1\/5, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 13*x + 3. Does 23 divide o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 322\/5. Let q(k) = -k**3 + 3*k**2 - k - 1. Let m be q(3). Sort 5, m, d in decreasing order.\nAnswer: 5, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -10220 (b) -2 (c) -3 (d) -2\/567\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than 927?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -26672*g. Let t(n) = 4*n**2. Calculate t(x(w)).\nAnswer: 2845582336*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, y: 3, r: 5}. Give prob of picking 1 y and 2 t.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -1 + 16\/((-240)\/45)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*n + 15, 2*g - 14 = -0*n + 4*n. Let p be ((-2)\/n)\/(126\/8). Let y = 16\/63 + p. Is -4 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -3363\nAnswer: -1\/3363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2829499?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -2*i + 4*f, 0*f + 33 = i - f. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 489 + -494. Let i(b) = 4*b + 28. Calculate i(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4064370?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425\/(-40) + (-33)\/88.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18680 divided by -20?\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -3 - -4) + -2. Suppose 2*t + u*a + 16 = -4, -5*t - 5*a = 20. Let d be 1 + 13 + 0 - t. What is the highest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13*x**2 - 19*x - 20. Let f(d) = 3*d**2 - 5*d - 5. Let j(r) = -9*f(r) + 2*m(r). Suppose 0 = -4*u + 32 - 0. Let w be j(u). Is w at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, f: 8, d: 5, m: 1}. What is prob of sequence vvf?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kudlllddulull. Give prob of picking 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-2*w - w + 4*w)*(9 - 6 + 2).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 716*a - 771*a + 180730 = 0. What is the highest common factor of a and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 3*u - 9, 5*k - 3*u = 39. Suppose k - 3 = 3*a. Calculate the highest common factor of a and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 + (44 - 8))*37\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 3*o + o + (-28 + 23 + 13 + (3 - 16 + 1)*(1 + 0 + 0))*(-4 + 4 + o) + (0 - 5 + 3)*(2*o + 0 + 0) to the form d*o + i and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198498.24 months to decades.\nAnswer: 1654.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 238\/13, -4\/65 in decreasing order.\nAnswer: 238\/13, 0.2, -4\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/7302 and 77\/135714.\nAnswer: 165163938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 12:10 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -6. Let q = 5 + s. Let k(w) = 2*w - 4. Let t be k(3). What is the greatest common factor of q and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**4\/2 + 83*t**3\/4 - 31*t**2\/2 + 9*t\/4 = 0.\nAnswer: -9, 0, 1\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {r: 1, o: 2, j: 2, s: 1, p: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -177581 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**3 - 4*i**3 + 6*i + 5*i**3)*(-12 - 22 + 21 - 2*i) as y*i**4 + x*i**2 + k*i + d + t*i**3 and give k.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10217599?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/525024 or 0?\nAnswer: 1\/525024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 13. Let j = p + -6. Let n(w) = 3*w**2 + 2*w - 1. Let a be n(1). Sort a, -1, j.\nAnswer: -1, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 5*c + 11, 3*c + 0*c + 2*s = 43. Calculate the lowest common multiple of 969 and c.\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3065 + 3064.89475. What is y rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 308808750.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f - 74 = 141. Let l(q) = q + 2. Let r be l(-9). Let a(g) = -g**3 - 6*g**2 + 8*g + 6. Let h be a(r). Sort -4, f, h, 4 in increasing order.\nAnswer: f, -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0*l**5 + 9*l + 0 - 7\/3*l**3 + 0*l**2 + 10\/21*l**7 + 0*l**4 + 0*l**6. Find the second derivative of c(y) wrt y.\nAnswer: 400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/3, -1\/3, -5135\/42, 22 in decreasing order.\nAnswer: 22, 5, 1\/3, -1\/3, -5135\/42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*w = 142*w - 12. Solve -3*q = 2*u + q + 4, 2*u + 4 = w*q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 4:26 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 6 + y**2 - 7*y + 0*y**2. Let j be (-1)\/2 - 15\/(-2). Let i be z(j). Is i less than or equal to -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 1. Suppose -2*b + 4*o = -6*b - 4, 4*b = -3*o - 2. Let t(s) = 10*s**3 + 20*s**2 - 5. Let r(a) = b*t(a) + 5*m(a). Factor r(v).\nAnswer: 5*v**2*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 6*n - 134. Calculate the greatest common divisor of 24 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/8, -4, 107, 5\/2, -0.5, -1\/6 in decreasing order.\nAnswer: 107, 5\/2, 5\/8, -1\/6, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3279*k**3 - 9*k - 12*k - 5*k - 3283*k**3 + 26*k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/70 - ((-393)\/(-262) - (-10)\/(-4))\/7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*j + 2*j = -21, -3*o + 2*j + 22 = 0. Calculate the lowest common multiple of 7 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**2*s**3 - n**2*s - 167370*n**2 - 6*n*s - n + 1896543*s**3 - s**2 wrt s.\nAnswer: -12*n**2*s + 11379258*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + -8 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**3\/6 - m**2\/2 + m. Let s(o) = 8*o - 8. Give 18*n(k) - 2*s(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12*48\/90.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 495 and 23067.\nAnswer: 115335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 43 = 5. Let b = 527 + -525. Solve 0 = -5*t + 2*s + 17, -5*t - 5*s + b = -z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 o, and 1 f when three letters picked without replacement from osbsfsc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106500 and 1360?\nAnswer: 7242000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.034243 + -0.043643. Let q = 5 - 0. Let c = m - q. What is c rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165.6 times -3\nAnswer: -496.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 505617 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.43995 to the nearest integer.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.78472 to two dps.\nAnswer: 14.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*d + 60 = -103*d. What is the units digit of 72*(5\/d - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, a: 2, p: 2, m: 1}. Give prob of sequence mppa.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8637\/7 + 1270. Let z = -36 + s. Suppose 4*i = -3 + 15. What is the third smallest value in 4, i, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 631725 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5275.723 decades in years?\nAnswer: 52757.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntttnnn. Give prob of sequence tntt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 48*j**2. Let r(b) = 35*b. What is f(r(l))?\nAnswer: 58800*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2497958493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 + -99.2. Let f = 5.2 + n. Which is the second smallest value? (a) f (b) -0.2 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 4 - 114*v + 0 - 20*v - 6 as c + h*v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/10*(-20)\/6. Suppose d - 139 = -4*g, 2*d + 3*d = n*g - 205. Calculate the common denominator of -113\/12 and ((-3)\/14)\/(g\/(-390)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115128311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjfjjjjjjjfjjffj. Give prob of picking 1 j and 3 f.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-84)\/18 - 2\/3. Let r(u) = u**3 + 23*u**2 + 3*u - 6. Let f be r(-23). Let h = f + 78. Solve 4*v - g - 12 = 0, a*v + 1 = h*g + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -121379 or -121428?\nAnswer: -121379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*s - 21*s + 19*s - 76*s + 26*s - 39*s**3.\nAnswer: -39*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 3. Let x be z(-5). Suppose -4*u - 10 = 2*w + w, 8 = x*w - u. Suppose -w*m - 6 = -16. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70 - 5239\/62)*1\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4 and -560376 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - g - 4. Let p(v) = -2*v - 20. Let a be p(-9). Let c be m(a). Solve 0 = 3*z - 5*b + 35, 3*z - 2*b = -c - 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1614*s**2 + 1611*s**2 + 9*s + 3656 - 3604 to the form q*s**2 + l*s + r and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298751515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 473 - 472. Let r(m) = 26*m**2 - m + 1. What is r(v)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, -1, -5 in descending order.\nAnswer: 116, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300)\/170)\/30*(-3)\/(-1).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 6*y**2 + 6*y - 5. Let k be n(7). Let d = 12 + k. Solve -4*a + l + 0*l + 5 = d, 3*l = -a + 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 5) to base 13\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.01 and 1626.8363.\nAnswer: 1625.8263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*z**2\/3 - 635*z\/3 - 1000.\nAnswer: -(z + 5)*(7*z + 600)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**4 + 15*m**3 + 27*m**2 + 21*m + 4. Let o(s) = 12*s**4 + 60*s**3 + 108*s**2 + 84*s + 15. Let x(g) = -2*o(g) + 9*y(g). Let x(b) = 0. Calculate b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 + 11 + (-4 - (-5 - 0) - -10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1180 and 1.059 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4, -4*q = 4*r - r + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 933 less than or equal to 934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and -3\/739 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + -5.07. What is the nearest to -0.2 in 1\/4, u, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q**2 + 1. Let s(j) = 34*j**2 + 272*j + 1698. Let r(o) = -s(o) - 6*w(o). Solve r(y) = 0.\nAnswer: -6, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (3 + -6 - -13)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -29 + 50, -272*b + 54 = 3*a - 279*b for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 2 (c) -4 (d) -2\/15 (e) 130 (f) 1\/73\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 - (2 + -1) - (36 + -125 + 102).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1446.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84 - -81. Which is the second biggest value? (a) -6 (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 215769876.43984100541 + -113183.43984312541. Let d = y + -215656703. Let k = d - -10. Round k to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24475 is divided by 12228?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((22 - -2)\/8)\/(2\/22). Does 4 divide 0 + (-789)\/(-9) - (-44)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-81)\/(-6) + 3. Let j = 71 + k. Suppose -r - 5*f + j = -0*f, 5*r = -4*f + 121. What is the remainder when r is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 4. Let r(g) = g. Let t be r(-2). Suppose -5*n - o + 8 = 22, 16 = -5*n + o. Put n, t, q in descending order.\nAnswer: q, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/8 + 2*(-18)\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 - 5*b**2 + 6*b + 9. List the prime factors of t(-4).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/((-4)\/36). Let v = 1 - j. Suppose -v + 139 = 4*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147357955?\nAnswer: 5, 17, 1733623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26672376?\nAnswer: 2, 3, 293, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*q + 2*q**3 + 47 - 29 - 204*q - 19 - q**4 + 6*q + 5*q**2 as a*q**2 + o*q**4 + l*q + p*q**3 + r and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5666682 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 3.97, 5.\nAnswer: 3\/2, 3.97, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(7))*1.\nAnswer: -3 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001106878 rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -169617826 - -5?\nAnswer: -169617821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -5, 32, -238 in decreasing order.\nAnswer: 32, 3, -1, -5, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/5835 and 101\/1020.\nAnswer: 396780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1732 (b) -953 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*245.694532\nAnswer: -122.847266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321309 divided by 107103.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-37 - 6448\/(-62)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9262? (a) -2\/3 (b) 3\/5 (c) -28 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/19)*p*(p*((p**(-1\/14)*p)\/p*p)\/p)\/p*p)\/((p**(3\/2)*p)\/(p*p**4)) assuming p is positive.\nAnswer: p**(610\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*(sqrt(612) - (-1 + sqrt(612))**2).\nAnswer: -432*sqrt(17) + 14712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-24))\/((-979)\/27412)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92 - 62. What is the lowest common multiple of 16 and i*((-8)\/(-3) - 2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5496)\/(-7) + ((-75)\/105)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 1:46 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = 18. Let v = 10 + g. Suppose -4*x = x + 4*l - 411, -296 = -4*x + v*l. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-6))\/((-1)\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*o = -4349 - 1219, -2*p = 2*o - 5564. Suppose -18*j + 7*j + p = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 96060 = -6*w, 3*k + 30403 = -2*w + 126447. Calculate the highest common factor of 212 and k.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 3*r - r + (1 - 1 + r)*(-1 + 0 - 1) - 2*r + 3*r + r - 6*r + 0*r + 3*r)*(2*r - r + r)*(0*r**3 + r**3 + 2*r**3).\nAnswer: -12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 795229042?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 + 140 = -4*w. Let z = w + -18. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 2)*(102*p + 30*p + 108*p)*(0 - 2 + 1)*(4 + 3 - 2) + 4*p - 5*p + 3*p.\nAnswer: -3598*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -60*h**2 + 2679*h + 942. Give c(45).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8761, -17744, -26957, -36400, -46073, -55976?\nAnswer: -66109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 18\/149003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/99 in -3, -1, 3, 1, -3\/4, 96?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -230 + 230.1. Let g = 2 - 0. Which is the closest to s? (a) -2 (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/133*(-17346)\/(-210).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2656 and 32702?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*c, 0 = 2*h + c - 30 + 5. Suppose h + 1 = -2*f. Let d(o) = -4*o**2 + o. Let g(a) = -a**3 + 13*a**2 - 3*a. What is f*d(y) - 2*g(y)?\nAnswer: 2*y**3 + 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/70 + (-292)\/(-14). Solve 39*g + t = 35*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*a = -133*a + 15. Let f be (-4)\/a - ((-56)\/(-12))\/(-7). Solve -5*z - f = 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1003*c + 15. Let l be z(-5). Round l to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 7, c: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2630, -2801, -2972, -3143?\n\"Answer: -171*v - 2459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*v + 3, -5*f - 2 - 13 = -5*v. Let u be (3\/(-12))\/((-52)\/16). Sort 1\/5, f, u in descending order.\nAnswer: 1\/5, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 - 107.8. Which is the nearest to q? (a) 0 (b) 64\/7 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 2. Let c be x(-3). Factor -m + 3*m + 2*m**2 - 2*m - c*m.\nAnswer: 2*m*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*d + 2076 = -1574. Let i be (-5 + (0 - -2))*-3. Is d at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -8*c + c. List the prime factors of 641*(c + -3 + 6).\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 243.\nAnswer: -97.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 10*m. Suppose 2*d + 21 = -k, -d + k = 5*k + 14. Let c be n(d). Suppose 2*j = c, -2*g = -7*g + 2*j + 25. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34 times 691?\nAnswer: -234.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.6, -236079\/4, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 791188 and 7120692?\nAnswer: 7120692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36468 and 344420.\nAnswer: 3099780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 9:11 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1897, 2625, 3837, 5527, 7689?\nAnswer: 10317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 4*h + 3. Suppose 12*k - 92 = 10*k. Suppose 2*m + 4*u = k, 2*m - 2*u + 86 = 6*m. Suppose w - 24 = -m. Determine f(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 485594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwqqwqwqqwqwqqqqqwq. What is prob of picking 3 q?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w + 8. Let j(c) = 2*c - 3. Let t(m) = 4*m**2 - 24*m + 24. Let p be t(5). Determine p*b(v) + 11*j(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*o**4 + j*o**3 + j*o - j - 3*o**4 + 10*o wrt o.\nAnswer: 12*j*o**2 + 6*j*o - 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11148712 (base 9) in base 8?\nAnswer: 24476641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -168850 less than -168849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 8*a + 4. Let y be x(-5). Let s = 134 + y. Suppose 112 = 8*n - 32. Calculate the remainder when s is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166\/21 + 1003\/126. Calculate the common denominator of 73\/402 and l.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4aa59 (base 11) to base 7\nAnswer: -423155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2893224?\nAnswer: 2, 3, 120551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 5. Let q be (-2 - -1) + -4 + s. Is (79\/(-2))\/(q\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101101 (base 2) in base 13?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 15*p - 30. Give o(-9).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8445 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k + 4. Let w(s) be the third derivative of s**5\/40 - s**4\/8 - s**3\/2 - 3*s**2. Let o(v) be the first derivative of w(v). Give 4*l(y) + 6*o(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.69 + 0.19. Which is the closest to 0.1? (a) -2 (b) w (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.02 - 1.78. What is q rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.4 + 54.6. Let t = 57.00000255 - d. What is t rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**3\/5 - 59019*u**2\/5 - 59016*u\/5 = 0. Calculate u.\nAnswer: -19672, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/5697 - -6033095\/39879. Let i = 151 - n. What is the third smallest value in -4, i, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Solve 3*v - 11 = 4*d, v + 4*d - 12 + 3 = n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*76\/6 - (-12)\/(-6). Let u = 153 + f. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28903\/31284 - 42\/869. Let n = 2\/95 + -208\/855. Let o = m - n. Which is the second smallest value? (a) -3 (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 6*c + 5. Let q be u(3). Let v = 0.4 - -0.1. What is the third biggest value in v, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:05 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22362.\nAnswer: 2, 3, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1140 divided by 1519\nAnswer: -1140\/1519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 228? (a) 2\/5 (b) 3 (c) 0 (d) 2\/227 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2066511*a - a**3 + a**2 - 2066569*a - a**2.\nAnswer: -a**3 - 58*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 29*j**2 - 51*j - 93. Let q be n(27). Which is smaller: q or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**0\/r*r)**0)**(-3\/10))**(-20))**(-46) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*d**3 + 754*d + 745*d - 1499*d.\nAnswer: 90*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 257*l + 242. Determine a(1).\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45315232 and 44400?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6153118321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: b\"What is the gth term of 350706, 350704, 350702?\n\"Answer: -2*g + 350708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1653 - 3327 + 1669 - 3*g. Let z be (-13)\/4 + 2\/8. Let c be y(z). Calculate the greatest common factor of 6 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 5*y = 14 - 41, 4*y = h - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k + 5*k. Let f(r) = -6*r**3 + 2*r + 1. Let i be f(k). Suppose -10 = 3*n + i*z, -10 = n + 4*n + 5*z. Is 1 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -2, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -17, -22, -27, -32, -37?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v + 6 = 0. Suppose 2*w - 28 - 7 = -v*c, 3*w + 5*c = 51. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 602325 divided by 1467\nAnswer: 66925\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 - -60. Suppose -n = 3*k - 12, 4*k - n = m*k - 2. Solve 0*w = -5*w - k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 2.4. Suppose 0*p - p = -5. Which is the closest to -1? (a) n (b) p (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 1 - ((7 - (-14 + 3)) + -9).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -103310 (base 4) to base 5\nAnswer: -20033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpb when three letters picked without replacement from {p: 1, b: 2, l: 11}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*d**4 - 5 + 8*d**2 - 1 - 8*d**2 wrt d.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -1\/42?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -2\/9, 3, 1\/12, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 21*d + 5. Let g be r(21). Suppose -2*b = -7*b + x + 2662, g*x = -b + 548. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 0*b**5 + 0*b**3 + 0 - 1\/5*b**6 + 5*b + 0*b**2 + 1\/4*b**4. What is the third derivative of c(u) wrt u?\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -41*z**2 - 3*z + 3. Let o(m) = -14*m**2 + 24*m. Let l(j) = -7*j**2 + 31*j - 1. Let c(h) = 4*l(h) - 5*o(h). Determine 3*c(p) + 4*y(p).\nAnswer: -38*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 224*l**2*v + 3*l*v + 43*l wrt l.\nAnswer: 448*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-6\/17))\/o)\/(((o\/(o*o**(-5\/12))*o)\/o)\/o*o) assuming o is positive.\nAnswer: o**(191\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102759 + 923335\/9. Let s = 166 + p. Which is the fourth biggest value? (a) s (b) 0 (c) -4 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182)\/(-154)*1341\/(-5811)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14)\/(-35) - (-3976)\/35.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**23\/f*f*f*f*f**(-20)*f assuming f is positive.\nAnswer: f**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -663, -1, 3 in ascending order.\nAnswer: -663, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 27 = -27. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((3 - 1) + (-41)\/20)*39 and -29\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f + 5*n = 5, f + n = 8. Suppose -3*s - f*s + 712 = 0. Suppose -6*d + s = -79. 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: Are 191 and 195 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -47. Let x(a) = y*a - 9 + 6 + 3. Let n(m) = -2*m. Calculate n(x(u)).\nAnswer: -38*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*l + 9, 0 = 2*j - 3*j - 3. Let k(x) = 18*x + 2 - l + 0 + 5*x. Is k(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -5, 1, 3 in decreasing order.\nAnswer: 3, 1, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*u = 590, 2*r + 2*u = -0*u + 572. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5757 - 6*x - 2835 - 2834.\nAnswer: -6*x + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 47663602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42471588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6176 bigger than 6175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 9:15 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073 times -268?\nAnswer: 19.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -115, 1, 9\/4, 3\/5?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.174? (a) -0.6 (b) 3 (c) -253 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 20770?\nAnswer: -10385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 47 + 20 = 4*i, -2*i - 2*c = -38. Is (13 - i) + (22*18)\/2 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1675857952 minus 10.6?\nAnswer: -1675857962.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 1378 = -1393, o + 3*o + 2*p = 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12843 + -0.0919.\nAnswer: -12843.0919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/576 and -13\/234432.\nAnswer: 234432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/14 + 24\/(-42). Let m(a) = 60*a**3. List the prime factors of m(r).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6. Suppose -j*o + 32 + 6 = 0. Solve 3*n + o = 2*z - 0*n, 3*z - 24 = 3*n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.077 + -0.008. What is o rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -119511, -478121, -1075811, -1912581, -2988431, -4303361?\n\"Answer: -119540*i**2 + 10*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3310998170 to the nearest 1000000.\nAnswer: -3311000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 135*b - 19165. Calculate c(142).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -6*p + 2*p + 104, -2*x - 70 = 4*p. Let q be x\/69 - (-2)\/6. Let j = -2\/169 - 332\/507. Which is the biggest value? (a) q (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + 0. Suppose -4 = 4*o, 5*s - 3*o - 83 = -0*s. What is the remainder when t is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = 5*k - 96. Suppose 18*z = 22*z - k. Suppose 2*f - 4*f = z*x, -4*f = 5*x. Which is bigger: x or -5\/17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*j = 12, -h + 3*j - 62 = -51 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2546.68 and 1056.\nAnswer: -2689294.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33256 and 20785?\nAnswer: 166280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*(-28)\/21. Suppose 3*b = -3*z + 1106 + 3088, u*b - z - 2799 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32019239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 65?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -619*g**2 + 1854*g**2 - 3*g**3 - 620*g**2 + 4 + 2*g - 617*g**2 as x*g**3 + m + k*g**2 + a*g and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s - 3*s + 5*s + (2 - 1 + 0)*(s + 2 - 2) + (4 - 2 - 4)*(s - 2*s + 3*s) + 1690*s - 671*s + 109*s.\nAnswer: 1123*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29700 and 604098.\nAnswer: 30204900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -239 smaller than -247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + 5162337?\nAnswer: 5162325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g - 6. Let l be f(4). Suppose -2*n - n = 0, 0 = -4*p + 2*n + 24. Suppose 7*r = -0*r + 28. Solve -r*d - p = l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**4\/3 - 168890*f**3 + 2533055*f**2 - 24316780*f\/3 + 7430060 = 0. Calculate f.\nAnswer: 2, 11, 101319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11325*y**3 - 14215.\nAnswer: -33975*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 81642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 94 = 74, 0 = 4*w + 2*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**4 + 15*t**3 - 77*t - 12897. Let j(d) = -5*d**3 - 20*d + 1. Let i(g) = -3*j(g) - o(g). What is the first derivative of i(k) wrt k?\nAnswer: 4*k**3 + 137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 - 216\/(-21). Suppose 0*h = 3*i + 2*h - v, 0 = -4*i - 3*h + 14. Find the third derivative of i*a**4 + 3*a**2 - a + a wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5431607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**7\/630 - b**6\/360 + 11*b**5\/6 - 37*b**2. Let c(u) be the third derivative of a(u). Determine c(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-60)\/280*172\/(-48) and -119\/432?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844.3729 rounded to the nearest 10?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 1007?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 218 = -4*i, 10*n = -4*i + 7*n - 254. Which is the third smallest value? (a) i (b) -4 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122.2 + -122.4. Which is the nearest to 1\/11? (a) 1 (b) m (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 948 divided by -4?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -12, -6, 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.1 + 3. Let a be -18*(26\/((-702)\/165) - -6). Sort a, -1\/3, p.\nAnswer: -1\/3, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163114 (base 7) to base 8.\nAnswer: 77056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(14\/(-4) + 3). Suppose 2*f = -u*f. Suppose 2*n + 2*n - 36 = f. Solve 10 = 4*k - n*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a**4 + 1 + 130*a + a**3 - 58*a - 71*a in the form n + f*a**2 + r*a**4 + s*a + t*a**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/3 + 3*1 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**2)\/(q*q*q\/q**(-2\/11)))**(-32) assuming q is positive.\nAnswer: q**(1472\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44584171*r + 44583712*r - 32 + 32.\nAnswer: -459*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2)\/(t*t*t**(5\/2)))**(-1) assuming t is positive.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2602 and 320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkojoykjjooyoojjyj. What is prob of picking 2 k and 1 j?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3222 + 11?\nAnswer: -3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 7. Let d be l(-11). Suppose 0 = 5*h + j - 50, -5*j = -4*h - 0*j + d. What is the greatest common divisor of h and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 + -0.3. Let t = 5.7 - 6. Let x = 4 - 1. What is the nearest to b in x, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-9 + 21 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100528140 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68222?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12201973013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 5*x**2 - 5*x - 13. Give b(-8).\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, w: 4, m: 1, j: 4, g: 1, s: 6}. Give prob of sequence mss.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 - 17*s + 28*s + 16*s as l*s**2 + f*s + t and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose -3*d = -8 - 4. Find the first derivative of 2 - n*g + 3*g - d wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (4 + (-10 - -7) - 6) - -40) + 1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 786, 1894, 3732, 6300, 9598?\n\"Answer: 365*v**2 + 13*v + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 992, 762, 372, -184, -912, -1818?\nAnswer: -2908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*x**3 - 128621*x**2 - 49*x - 30758602?\nAnswer: -6*x**2 - 257242*x - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3111\/10 - -301. Calculate the common denominator of -91\/6 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(228) - sqrt(228)) + (sqrt(228) - (sqrt(228) + 3*(sqrt(228) + (sqrt(228) - -1*sqrt(228))))))\/(sqrt(1452) - 6*sqrt(1452)*3)*-2.\nAnswer: -28*sqrt(19)\/187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 14) in base 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 - 10499*b**2.\nAnswer: b**2*(b - 31497)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -5. Let z = -4.98 - 0.02. Let h = z + 1. Which is the nearest to f? (a) 5 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 1330\/3?\nAnswer: 1330\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 277707*m**3*t**5 - 25*m**3*t**2 + 105*m**3*t - 4*m**2*t + t**5 + 15*t**2 wrt t.\nAnswer: 16662420*m**3*t**2 + 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 171 divided by -3\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*i = -3*k + i + 3*i - 12, 0 = 2*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 49?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*(-13)\/2002*(-1573)\/(-78).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c = 5*t - 7871 + 8005, 0 = -c - 7*t - 109 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123477\/10 + -12359. What is the common denominator of g and -43\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8654 = -204*n + 2942 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 900354478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/11))**33\/((n\/n**0)\/(n\/n**(-5\/2))) assuming n is positive.\nAnswer: n**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169 - 118. Let k(j) = -8*j**3 - 17*j + 25. Let d(z) = z**3 + 2*z - 3. Let u(s) = r*d(s) + 6*k(s). What is the first derivative of u(w) wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 8 + 2*p + 5)*(3 - 6 + 4)*(-24*p - 33 + 33).\nAnswer: -48*p**2 + 216*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4464*a**3\/7 - 14029*a**2\/7 + 6098*a\/7 + 8208\/7 = 0.\nAnswer: -152\/279, 27\/16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 126*h - 5346. Let m(u) = -5*u + 214. Calculate -4*f(a) - 99*m(a).\nAnswer: -9*a + 198","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**3\/2 + 2165*l**2\/2 + 30200*l - 38989710 = 0.\nAnswer: -171, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) 2\/97 (b) 2 (c) -1\/2 (d) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1.5. Let m = 0.1 - 0.2. Let z = -3944 - -3943.8. What is the nearest to m in z, 0.2, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2475 at most -486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7444 in -5, -1\/5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 15) to base 12\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32302465 (base 7) to base 9.\nAnswer: -5162241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + c - 2*c + c + 5*c - 4*c + (-5*c + 2*c + 2*c)*(5 + 0 - 3) + c - 2*c + 0*c - 2*c + 3*c - 3*c - 4*c - 11*c - 4*c in the form r + a*c and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 477116137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 - 113. Which is greater: 1\/19 or y?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106596 by -4.\nAnswer: 26649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3 + 370*l**2 - 2*l - 370 = 0. Calculate l.\nAnswer: -185, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1414422004 (base 5) in base 10?\nAnswer: -3670254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -855*q + 860*q + 7, -4*s + 17 = 5*q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*y - 5*y - 67*y)*(-2 + 2 + 3)*(7 - 7 + 8*y) to the form j*y**2 + n*y + t and give j.\nAnswer: -1944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*1\/14*3\/30*52.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26544*l + 26622*l - 3042 = 0 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000173794 to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2898524323 to the nearest integer?\nAnswer: 53838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 1893053\nAnswer: 189305.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*(x**(-1\/21)\/x*x)\/x)\/x)\/(x*x*x**(-6\/11)*x*x)*(x\/x**(3\/7)*x)**26)**9 assuming x is positive.\nAnswer: x**(25887\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5\/7 + 3848*o**4\/7 - 23196*o**3\/7 + 34848*o**2\/7.\nAnswer: 4*o**2*(o - 3)**2*(o + 968)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 7*u + 12. Suppose 15*x - 36 = 6*x. Let y be i(x). Suppose -4*o + 2*o + 4 = 0. Solve 5*a + y*a + 5*b + 15 = 0, -11 = -3*a + o*b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 4*w + 1. Let t be o(-5). Solve -3*x + t*x = -12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2620, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*u - 66*u - 66*u + 257*u - 59*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 3272*m + 9546055\/2.\nAnswer: (m - 4349)*(m - 2195)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -635, -1\/7, -1\/4.\nAnswer: -635, -1\/4, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 2*v**2 - v - 2. Let c be g(-2). Suppose c = 3*k - 3*z - 54, 2*k - 48 = -2*z + 7*z. What is the highest common factor of k and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9415.89 days?\nAnswer: 813532896000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -3*d, 5*y - 3*d + 22 = 29 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i - i)*(-3 - 1 - 1) + i + 2 + 1 - 2*i.\nAnswer: 9*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40*(-14)\/(-17 + 129). Let b(m) = -7*m - 13. Let w(t) = -6*t - 14. Let d(c) = 5*b(c) - 4*w(c). List the prime factors of d(z).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -282a1 (base 12) to base 9.\nAnswer: -84364","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 2333*2\/(-8)*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 + -2)*(-8)\/(-12). Let c(l) = -57*l**2 - u*l + 9 + 0 + 68*l**2. Is c(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5*o - 30 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 4. Let h be (-12)\/(-54) + 4\/(-18). Let t be j(h). Let s be (-1 + 2)\/(2\/22). Solve -t*x = -y - 8 - s, -2*y - 2 = x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -4\/3, 2\/65, 1\/3, -22883?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 29413*m + 499999. Give b(-17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 619551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 12:58 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 92 = -8*j. Let t be j\/4 + ((-10)\/(-8))\/(-5). Solve -5*w - t*v + 45 = 2*v, -4*v = -20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/(2\/(-20)). Let y = 2 - z. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**2 + 9*b - 14. Let j(s) = 6*s**2 - 15*s + 25. Let i(v) = -5*d(v) - 3*j(v). Let r(k) = k**2 - 3. Calculate 3*i(a) - 5*r(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -5 - (3 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*s + 48*s = -1901808. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*n - 36. Suppose -4*q = -4*d + 4 + n, -5*q - 18 = -d. Let g = d + -6. Solve w = g*w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -7. Let y = -0.4004 + -0.4996. What is the nearest to v in y, 0.1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37477*m = 38025*m + 25208 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-5 - (3 - (3 + 0)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 2. Let m = 44 + -41. Sort m, s, 0.\nAnswer: 0, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15052800 to the nearest 100000.\nAnswer: -15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -0.050238733?\nAnswer: 0.0401909864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 958669000 rounded to the nearest one million?\nAnswer: 959000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -1, -69, 0, -15 in decreasing order.\nAnswer: 0, -1, -2, -5, -15, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 2\/11 (b) 0.9 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21275.595 rounded to the nearest 10?\nAnswer: -21280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5494, -22467, -50760, -90373?\nAnswer: -141306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3465 and 2281545?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-66 - (-1 + 0)) + (29 - 32 - 14)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209197697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5923*u + 213030. Calculate h(36).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 28.84. Which is smaller: q or 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 25072 + 4370 = z, 5*x - 41405 = 2*z. Round z to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7725 = 4*n, -6*n = -n - 2*i - 9685. Let z = -774 + n. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 390 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 604 and 37599?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwun when four letters picked without replacement from tuiwn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2904)\/(-42108) - (16\/(-6))\/(696\/(-308)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -268251742.876 from -27.\nAnswer: 268251715.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204011531*s**3 + 223272028*s**2.\nAnswer: 1224069186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + i + i - 1 + 3*i + 1 - 1 + i - 6*i + 3*i - i + i + i + (4*i + i - 3*i)*(3 + 0 - 1) + 1 - 2*i - 1 to the form x + g*i and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 28 + 4)*(t**3 + 2*t**3 - 4*t**3).\nAnswer: 23*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*r + 11 = 57, 0 = -d + 2*r + 4. Let x(b) = -b**3 + 10*b**2 + 2*b + 10. What is the hundreds digit of x(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66.576 - -66.476. Let h = -7.6 + 0.6. Which is the nearest to h? (a) 2\/5 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*v**3 + 156*v**3 - 85*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -16. Suppose -2*t + 2 = 0, 0 = 2*z - t - 17 - o. Calculate the lowest common multiple of 14 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -389\/456 - -23\/24. Let g = 31\/99 + 2\/99. Which is the third biggest value? (a) r (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -19*o**2 + 2*o - 13. Suppose -u + 0*u = 6. Let d(r) = 9*r**2 - r + 6. Let p = -8680 + 8667. Calculate p*d(k) + u*m(k).\nAnswer: -3*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 182 divided by -151\nAnswer: -182\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -74*k**2 + 417*k - 301. Calculate b(-6).\nAnswer: -5467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -258*c - 322 wrt c?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -18*s - 4. Let j be i(-4). Calculate the least common multiple of 8\/28 + j\/7 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 10*i + 3. Let y(h) = 230*h + 70. Suppose 3*q + 4*x + 217 = 1347, q - 4*x - 366 = 0. Let s = -377 + q. Calculate s*y(d) + 70*n(d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 318, -2\/13, -2\/7, -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 5:17 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(28)\/sqrt(16)*-1 + ((sqrt(7) - (sqrt(7) + (sqrt(7) - ((sqrt(7) + sqrt(28)\/sqrt(4))**2 - sqrt(7))))) + -3 - (-2*sqrt(700))**2))*-6.\nAnswer: 30*sqrt(7) + 33300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -16*r + 56. Determine a(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1694 divided by -16160.\nAnswer: -847\/8080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -8478*g**2. Let x(m) = 7*m. Determine u(x(w)).\nAnswer: -415422*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/10 - (-2)\/(-5). Suppose -h*s + 248 + 207 = 0. Let t = s - 65. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/21)\/((-12)\/42). Suppose -53 - w = -a. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*p, -4*p + k = 2*k. Let v(x) = x + p*x - 5 + 0 - 5. Let t(i) = 6*i - 1. Let r be t(-1). Let b(z) = z - 7. What is r*b(n) + 5*v(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/16 + 7\/16. Determine z so that w*z**3 + 0 - 1\/2*z - 1\/2*z**4 + 1\/2*z**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2 - 6 + 57*x - 4 + 8 as y + k*x and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*w - 4*t, 5*t = 5*w + 7*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.38 + 7.53. Let m = -0.09 - t. Let k = m - -11.5. Round k to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0871 - 466.9129. Let r = c + 529.6. Let j = -58 + r. What is j rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 + -113. Let y(x) be the third derivative of 1\/540*x**6 + 0*x**4 + 0*x**5 + 0*x**3 + 0*x + 4\/945*x**7 + 0 - k*x**2. Solve y(w) = 0 for w.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -825.8*10.76\nAnswer: -8885.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**7\/7 + 2*x**3 - 7. What is the third derivative of w(q) wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*x - 1824 = -468*x + 108*x + 54*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.83355321 rounded to three dps?\nAnswer: 72.834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 6*v + 2. Let p be m(5). Suppose -1 + p = -3*q. Let o = q + 53. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6467 - 6445 - (125 + 1 + 1).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2013345 is divided by 2189?\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62676, 125345, 188014, 250683, 313352, 376021?\n\"Answer: 62669*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 3*z + 646. Let s be o(0). Suppose -3*b + s = 3*g - 32, -5*g + 900 = 4*b. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(608)*5)\/(-2*sqrt(10)\/sqrt(5)).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.9 - -95.1. Let p = d - 114.00000059. Round p to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104 - 22. Let p = -72 + u. Let l(g) = g**2 - 10*g - 3. Calculate l(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(304))**2 + 1 + ((sqrt(171) + 1 - sqrt(171) - sqrt(171)) + 1)**2)*5.\nAnswer: 60*sqrt(19) + 2445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, p: 4, k: 8}. What is prob of sequence kpek?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 6:27 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 10:55 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28990 + 38872. What is the highest common divisor of t and 244?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256030810, 256030809, 256030808, 256030807, 256030806?\nAnswer: 256030805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*j + 85, 0*j = -4*o + 2*j - 158. Let l = -19 - o. Suppose -16*q = -l*q - 6. What is the smallest value in q, 2, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -17711*n. Let w(x) = -16*x**2. Determine r(w(c)).\nAnswer: 283376*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-1)\/((-9)\/21). Is b < 0.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26695 + 26697. What is the closest to 11 in y, 2\/5, -1.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025254263 to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + z + 3*z)*(2 - 2 + 1) + (0 + 1 - 2*z - 3)*(-17 - 7 + 54).\nAnswer: -62*z - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -61, -477, 183 in ascending order.\nAnswer: -477, -61, 1, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o**(-6)*o)\/o))\/o)\/(o\/o**(-5\/2)))\/(o*o\/(o*o**1))**17*(o**10\/o**(-7))**(21\/4) assuming o is positive.\nAnswer: o**(367\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 243 (base 6) to base 13\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-3\/7)\/x)\/x)\/(x\/(x\/(x\/((x*x**(-5)*x)\/x)))*x))\/(x*x*x\/x**0*x)**(-21))**(-25) assuming x is positive.\nAnswer: x**(-13225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -11*w**3\/6 + 48*w**2 + 15*w + 2. Differentiate a(s) wrt s.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = 3*w + 18, 0 = 9*v - 7*v - 5*w + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/8*f + 3\/4*f**2 + 3\/8*f**3.\nAnswer: 3*f*(f + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19ac6d8 + -51?\nAnswer: -19ac749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-30))\/((4\/(-6))\/((-325)\/(-585)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1023074 + 1023074 + 4*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -264, -277, -306, -357, -436?\n\"Answer: -u**3 - 2*u**2 - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(80))\/sqrt(160).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 431757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-18)*186\/4. Let q = 21 - p. Which is the third biggest value? (a) 0.2 (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 + -64. What is the smallest value in -3, s, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10878.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94100 and 112920.\nAnswer: 564600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*c**2 - 63*c**2 + 30*c**2 - 20 to the form u*c**2 + q*c + s and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Calculate the greatest common factor of u and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, 40, 54\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 2*n**5\/5 + n**4 - 67*n**3\/3 + n + 35. Find the third derivative of r(x) wrt x.\nAnswer: 48*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 2216.\nAnswer: -5\/2216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 - 3*a**4 + 5*a**4)*(1 - 1 - a)*(1 + 2 - 1).\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 711341987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4765 is divided by 2322?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-918)\/(-8) - 1\/(-4). Let n(z) = 174*z + 25235. Let d be n(-145). What is the greatest common divisor of d and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -2 - 31. Factor 1\/3*k**2 + 0*k + 0 - 2\/3*k**r + 1\/3*k**4.\nAnswer: k**2*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - o**3 - 7*o**3)*(12 + 4 - 27)*(6*o - 2 + 2).\nAnswer: 660*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-827*67\/3)\/(26 + 3081\/(-117))?\nAnswer: 67, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.397698 nanograms to micrograms.\nAnswer: 0.002397698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 (base 12) in base 11?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -706 (b) -2\/7 (c) -18 (d) -1\/30 (e) 7 (f) 4\/9 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 12:01 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) 14\/9 (b) -179\/6 (c) -3\/7 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-20)*(-28)\/42.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7552263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 497719599 to the power of 1\/2, to the nearest integer?\nAnswer: 22310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 694958 and 3658.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2134 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 93 = 8*o. Let p = -17 + o. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**0\/g))*g*g)**13*(g**(-1\/4))**15 assuming g is positive.\nAnswer: g**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -253761 and -7.\nAnswer: -253768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 52. Let y = 39 + v. Let n = 0.1 + -0.1. What is the second smallest value in y, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - s - 31 + 4*s + 70 + 381.\nAnswer: -2*s + 420","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0 - 15. Let v = 17 - 16. Solve b*o + 7 = v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + o - 5. Let t be m(-3). Suppose 0 = -2*g - w + 2, g + 0 = 3*w - 6. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 34*w**2 + 33*w - 16. Let t be g(-33). Let q be 12 - (-7 - (t - -5)). Solve 6 = -q*a + 10*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3206 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 7. Let h be p(-3). Let n = 21 + h. Calculate the lowest common multiple of n and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 627 and 710201?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -319179732 + 188842898. Let g = p - -130336854.69999455. Let u = g + -20.7. Round u to seven dps.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43 - 15*i**3 - 43 + (i - 4*i - 3*i)*(2*i**2 + i**2 - 2*i**2).\nAnswer: -21*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 - 3*d**2 - 3*d + 1. Let n(u) = -u**3 + u**2 + u - 1. Let j(v) = h(v) + 3*n(v). What is the derivative of j(k) wrt k?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.016.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 4*o**2 - 2*o + 5. Let u be p(-4). Let j = 10 - u. What is the third biggest value in 2\/3, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 209*g - 1646.\nAnswer: 209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 140*q**4\/3 - 12288*q**3 + 2414032*q**2\/3 + 556160*q + 92928 = 0.\nAnswer: -2\/5, -2\/7, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2484971043?\nAnswer: 3, 227, 3649003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*d**3 - 612*d**3 + 217*d**3 + 176*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 8*t - 1. Let j be n(4). Suppose 8*f + 0*f - 272 = 0. Let x = j + f. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7240 + 2421 + 2450 + 0*x**2 - x**2 + 2420.\nAnswer: -x**2 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 25 = c, -j - 2*j = -c + 31. Suppose 4*h - 16 = 2*h. What is the greatest common factor of h and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 496 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1379*u**3 + 1680*u**2 - 6*u - 6. Let d(i) = -1383*i**3 + 1680*i**2 - 5*i - 5. Let n(h) = 6*d(h) - 5*k(h). Find the third derivative of n(y) wrt y.\nAnswer: -8418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**3 + 2*r**3 - 15*r**2 - 9*r + 3*r**3 + 4*r**3 - 16*r**3 - 1 to p*r**3 + q + s*r + t*r**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8618 is divided by 331.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25724 less than -46007331?\nAnswer: -46033055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 158775263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 387147407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 1 + 11. Let f = -5 + 4.6. Let s = f - 0. Which is the closest to 0.1? (a) s (b) -0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -2 - (105 - (-10 - (-1 - 1 - -4)))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/7 + 288*n**2\/7 + 10368*n\/7 = 0 for n.\nAnswer: -72, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2*j - 32. Calculate the lowest common multiple of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 1:40 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/11))**(8\/9)\/((q\/(q**(2\/29)*q))\/q*q*(q*q**(-6\/11)*q)\/q) assuming q is positive.\nAnswer: q**(-875\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 106 = 26. Suppose 777 = p + a*v + 311, 5*p = -3*v + 2330. Does 28 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21870*j - 10935*j - 10936*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 1\/2*x + 3\/4*x**4 + 7\/4*x**2 + 0 + 2*x**3 = 0?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 1. Suppose 4*k = l*v + 29, 4*v = k - 0*k - 21. Let u be k\/((1*-2)\/6). Put -1, 2, u in ascending order.\nAnswer: u, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - (4 + -4)\/4. Let z(m) = -l - 1 - 5*m + 7 - 3 - 7. Let n(f) = 6*f + 11. What is 6*n(y) + 7*z(y)?\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h - 49 = -161 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/4 + i\/4 - 3 = 0. Calculate i.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + ((-19 - -5) + -2 - (-4 + -7))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605325 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1.401\nAnswer: -5.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*y + 60*y - 18*m - 54, 3*y = 3*m + 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -4. Let r = -15.000003 + a. Round r to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/((z*z**(-15)\/z)\/z))\/z*z)\/(z*z*z**15)*(z\/(((z*z**(-4))\/z)\/z))**(4\/5) assuming z is positive.\nAnswer: z**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 5*s + 4. Let y be t(5). Let n(c) = 343*c**2 + 8*c + 4. Let q be n(6). Suppose 0*f + y*f + q = 0. Round f to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.538248 centuries in millennia?\nAnswer: 0.7538248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 4:22 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 = -4*q + 2*y, 3*q + 159 = 4*q - 4*y. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(11 + 0 + 0) + (3 + 0 + 0)*(0 + 0 + 1)*(42 + 68 + 77))*(2*s - 2*s - 2*s).\nAnswer: -1078*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195 - -198. Let 0*k + 0*k**h + 0 - 26*k**4 + 8\/3*k**2 + 70\/3*k**5 = 0. What is k?\nAnswer: -2\/7, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**3 - 24. Let u(n) = 5*n**3 + 23. Let v(i) = 4*i + 6. Let s be v(-3). Let a(z) = s*p(z) - 7*u(z). What is the first derivative of a(l) wrt l?\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 = 36*n + 170 + 584 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - 2.03. Let v = 0 - m. Let s = 34\/3 - 235\/21. Which is the closest to v? (a) s (b) -5\/6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 18. Suppose w = -q*o + 2*o, 4*w - 2*o = 0. Suppose w = h - k - 7, h = 3*k - 8*k + 19. Solve u + h = 5*b, u = -b - 2 - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -517\nAnswer: 5\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yllf. What is prob of picking 1 f, 1 l, and 1 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -371*l**4 - 54*l**4 + 8*l**4 + (4*l - 4*l - 2*l**4)*(3 - 4 - 1)*(1 - 2 - 2).\nAnswer: -429*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 4 + 1 + 520459*i**2 + 545795*i**2.\nAnswer: 1066254*i**2 + i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t - 1967238 + 4271810 + 4217911 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2355, 4028, 5693, 7356, 9023?\nAnswer: 10700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 - 113.13. Let q = 112.8 + n. What is the third biggest value in q, -1\/9, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4009\/(-6)*(-129)\/(-8). Let h = s - -10768. Calculate the common denominator of 115\/28 and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 77, 24, 6.\nAnswer: 2\/3, 6, 24, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 0 + 0*c**4 + 4*c**2 + 0*c**3 - 7*c - 1\/2*c**5. Differentiate q(s) with respect to s.\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2813 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*i + 8. Suppose -i*h = -31*h - 25. Let x = -1.5 + 1.5. Which is the nearest to x? (a) h (b) -5\/4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15607240 and 16.\nAnswer: 31214480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/10 <= 3595804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q**3\/9 + 2434022*q**2\/9 + 3129476*q\/9 + 695440\/9 = 0.\nAnswer: -1, -2\/7, 173860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*h + 780*h - 65*h**3 - 60*h**3 - 1086*h.\nAnswer: -125*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/264 and -17\/10.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0357*-2.715\nAnswer: 0.0969255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 17*q**2 + 44*q + 26. Let i be r(-14). Let z be (i\/5)\/(10 + 462\/(-55)). Which is the nearest to -2\/5? (a) 0.1 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 2*g**2 - 4*g + 1. Let t(j) be the second derivative of j**5\/20 - 2*j**4\/3 - 4*j**3\/3 - 3*j**2 - 3*j. Let n be t(9). Calculate m(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 392 and 0.2913.\nAnswer: 392.2913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 580977915 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19131 - 19131 + 130*c**2.\nAnswer: 130*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*w**2 + 2 - 2*w + w**2 + 2*w + (-1 - 2 + 1)*(w - w - 2*w**2) + w - 5*w**2 - w)*(-12*w**2 + 12*w**2 + 8*w**3).\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718411 a multiple of 373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from {x: 1, t: 1, v: 1, g: 1, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 38*a**2 + 39*a + 503. Calculate q(-38).\nAnswer: -979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l. Let h(c) = -36*c + 108. Let a(r) = -5*r + 16. Let b(d) = 20*a(d) - 3*h(d). Give b(o(u)).\nAnswer: -56*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459153379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. Suppose -r*p + 7*p - 9 = 0. Suppose -2*n - 2*o - 1 - 3 = 0, 5*o + 30 = 5*n. Put 4, n, p in decreasing order.\nAnswer: 4, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 26, 65, 120, 191, 278?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 12:37 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**5\/30 + 2*t**3\/3 + 6*t**2. What is the first derivative of n(x) wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 6. Let r be h(-6). Let g(a) = a - 5. Let u be g(8). Suppose 2 = 2*f - r, 0 = -u*q - 5*f + 8. Solve q - 5 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*k - 14. Let c(o) = -6*o**k + 10*o**2 - 3*o + 0*o + 2 - o**3. Let m(g) = -2*g**3 + 9*g**2 - 7*g + 5. Calculate 5*c(d) - 2*m(d).\nAnswer: -d**3 + 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -17 + 7 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1155*l**3 + 1965 wrt l.\nAnswer: 3465*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.422417 months in millennia?\nAnswer: 0.00036853475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ieu when three letters picked without replacement from nezfieuefneznen?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 974638933?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/9 - 113888*o**2\/3 - 4860054200*o\/3 + 993031540000\/9.\nAnswer: -2*(o - 68)*(o + 85450)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/(-5) + (-63)\/105. Suppose -k*u + 0*u + 99 = 0. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*i = -2110 - 361 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422*n**2 + 32*n**2 + 338*n + 54*n**3 - 786*n**4 + 784*n**4 = 0. What is n?\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g - 4*i - 68, 5*g - 64 = 2*i. What is the highest common divisor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b + 1. Let y be r(-1). Let t(w) = -14*w - 7. What is the remainder when t(-5) is divided by (12 - 23)*(0 + (y - 0))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 + 1184 = t + 2*n, 0 = -5*t - 2*n + 5261. Suppose -8*y + t = -1821. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, -9, -140, -383, -774, -1349?\nAnswer: -2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -28. Which is the closest to -1? (a) i (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -261, -309, -375, -459?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 0.07?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + m - 1. Let x(s) = 4*s**2 - 2*s + 3. Let y(t) = -33*t**2 + 16*t - 25. Let z(g) = 51*x(g) + 6*y(g). Calculate 4*w(k) + z(k).\nAnswer: 2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, -14, -36, -66, -104, -150, -204?\n\"Answer: -4*o**2 - 2*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001100 (base 2) in base 5?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 460 and -0.04715.\nAnswer: 459.95285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 i when three letters picked without replacement from {v: 4, u: 7, i: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 596508 to the power of 1\/2, to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.16 + 0.66. Let z = -1.93 + -0.07. Sort -4\/3, z, c in decreasing order.\nAnswer: c, -4\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 159*k**4 + 69*k + 88*k - 157*k + k**3 to l*k**2 + r*k + s + o*k**4 + y*k**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j**2 - 2*j + 2*j**2 + 2*j**2 - 2 + 3. Suppose -5*i = -2*r - 6, 7 = 3*r + 2*i - 3. Suppose 0 = -2*l + l - r. Calculate o(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 3*r - 3*r + (0 + 0 + 2)*(-2*r + 2 - 2) + 4*r - 6*r + 4*r)*(-3*r - 2 + 2).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 5*p. Let v(q) = 4*q + 10. Let a = -14 + 10. Let l be v(a). Give z(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12468122 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1075 - 1070. What is the closest to 1 in u, 3, -4, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 6) in base 7?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10, -36, -64, -88, -102, -100, -76, -24?\n\"Answer: c**3 - 7*c**2 - 12*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*(1 + sqrt(153)) - sqrt(153)))**2*-1.\nAnswer: -621 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2910167 times 0.04?\nAnswer: -116406.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20397?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n = s, -s = -5. Suppose -w = -3*u + 37, 3*u = 4*u - 2*w - 9. Calculate the remainder when u is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2300\/9 + 256. What is the second smallest value in 2\/9, a, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*p - 2387, -p + 5*u - 339 + 826 = 0. Calculate the remainder when 1450 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y**2. Let a(p) = -10*p**2 - 3. Determine z(a(c)).\nAnswer: 1100*c**4 + 660*c**2 + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -7 + 20 + -10 + (2 - -73).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 2\/13, 0.4, 2\/11.\nAnswer: -1, 2\/13, 2\/11, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 146588.706 rounded to the nearest 100?\nAnswer: 146600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 9. Suppose -7*b + r = -5*b. Solve 7 + 5 = b*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-2)*100\/75. Suppose 0 = -4*s + m*r - 0*r + 48, 3*s - r - 28 = 0. Solve 4*i = 6*i + s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h + 406. What is the units digit of u(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-3)\/sqrt(7))\/sqrt(2).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3160 and 113623330.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 7*z**2 - 1. Let a = 384 + -391. Calculate u(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -7*y**6\/3 + y**4 + 7*y**3\/3 + y**2\/2 - 8. Find the third derivative of a(m) wrt m.\nAnswer: -840*m**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1428 = c + 1426 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + -9. Let h = 35 + n. Calculate the greatest common factor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -4*c**3\/3 - 132*c. Give k(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 4 - (2 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28, -13, 20, 77, 164, 287?\n\"Answer: y**3 + 3*y**2 - y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 - 2)*(-s - 4*s - s) to t*s + j and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -3, -4.\nAnswer: -4, -3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*2*1\/(-4). What is the first derivative of 5*y - 7*y + 1 - g wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -11*q**4\/4 + 6*q - 8. Find the first derivative of u(p) wrt p.\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*m - 13 - 6, -3*b + 5 = -2*m. Let c be m\/5 + (-18)\/(-5). What is the second derivative of t - 4*t**c - 3*t + 2*t**4 wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9729 is divided by 1840.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21465904 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*h + 19. Suppose 3*t = 0, -6*g + h = -g - t. Suppose -g + 6 = 4*w. Which is greater: -1\/32 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21210.\nAnswer: 2, 3, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/34)\/2*7123\/838. Let k = 51\/2 - 163\/6. Let y = -4 + 8. Which is the closest to i? (a) 0.1 (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35610 and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16997557861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 183 + 4?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 10*j - 10. Let z be h(8). Let n(f) = 14*f**2 - 4*f - 1. Is n(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + 42\/(-9) + -2)*-3. Sort d, -5, 3, 0.5.\nAnswer: -5, 0.5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -13 - 2 + 4*d**2 + 4*d - 3*d**2 - 11*d. Let n be h(9). Solve -n = 5*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 7*v - 265. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000028525 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m. Suppose 2*o = -5 - 5. Let y be (6\/10)\/((-1)\/o). Let j(i) = 0*i + y*i - 2*i. Give d(j(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1)*4\/8. Suppose j = -a + 5 - 1. What is the third derivative of g**2 - 11 + 7 + 2*g**3 + a wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -458902\/75 or -6118?\nAnswer: -6118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 98*v - 791. Determine j(8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**2*t + 4*q**2 - 7*q*t - 940729*q + 488099277*t + 2 wrt q.\nAnswer: 2*q*t + 8*q - 7*t - 940729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16796 + 5?\nAnswer: -16791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 36. Calculate the least common multiple of q and 11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 1513 = -9*m + 1609 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4247 + -4247.08. Which is the smallest value? (a) 19 (b) d (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 26b14?\nAnswer: 26b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -671*i + 341*i - 533*i**2 + 330*i.\nAnswer: -533*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 - 91. Let x(y) be the first derivative of y + 0*y**2 + 4 - 1\/4*y**3 - 1\/16*y**w. Suppose x(t) = 0. What is t?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 7*d - 40 + (-2*d - d + d)*(0 + 4 - 5) + 0*d - 3*d + 2*d)*(5 - 5 - 6*d).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 4. Let x be g(0). Suppose 2*k = -2*r + 32, -4*r - 12 = -x*k + 36. Let h = 0 + 3. What is the least common multiple of h and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3830, 7412, 10994, 14576?\n\"Answer: 3582*o + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2626*p**5 + 439*p**2 + 4.\nAnswer: 157560*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1859900.8 - 17.\nAnswer: 1859883.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*n**5\/7 - 7806*n**4\/7 + 136818*n**3\/7 + 1493286*n**2\/7 - 164124*n + 212064\/7 = 0 for n.\nAnswer: -8, 1\/3, 2\/5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 5*v - 2*v - 5, -v - v = 3*s + 346279 - 346274 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 476 - 103 = -233*g, -65 = 46*a - 44*a + 5*g for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9709, -9728, -9747, -9766?\n\"Answer: -19*m - 9690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31 and 992.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 7*w = 10*w + 48, -2*w - 48 = -4*f. Solve -f = -2*j + 4*r, -104*r + 8 = -106*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - k)*(2223*k - 10269*k - 79 - 45*k + 79).\nAnswer: 8091*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d - 52. Let i be z(9). Sort -8, i, 4, 0 in descending order.\nAnswer: 4, i, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/162 and 89\/90.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from zmvfmfmftmmzfmczzc?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 868853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 8 - 21)*(-2 + 2 + a)*(-2*a + a + 1 - 3*a).\nAnswer: 140*a**2 - 35*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 44905.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 40. Let j = 19 + y. Calculate the remainder when j is divided by (57\/3)\/(-1)*-1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**3*o + l**3 - 36*l**2*o - 236*l**2 - 2*l + 1219944*o wrt l?\nAnswer: 12*l*o + 6*l - 72*o - 472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2*18 + -3. Let c = n + -29. Let t be 20599999 + (1\/(-4))\/(c\/20). What is t rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150 - 153. Put s, 65, 5 in decreasing order.\nAnswer: 65, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1865740 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 493160959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsiialp. Give prob of picking 2 i, 1 s, and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1765633072 to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23210022320 (base 4) in base 11?\nAnswer: -1790874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**4\/4 + 2*m**3 + m**2 - 4*m - 1. Let u be (-2)\/4 - 39\/(-6). What are the prime factors of g(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o**3 - o**2 + 6*o + 5. What is the smallest common multiple of 5 and h(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3*1*sqrt(304) - (2 + sqrt(304)*-1)) + 2 + 2*sqrt(304)*2 + 4)**2.\nAnswer: 96*sqrt(19) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34364.8334 - 34362. What is p rounded to 2 decimal places?\nAnswer: 2.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 59. Which is the closest to r? (a) -2\/3 (b) 0 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 6*j + 2. Suppose 3*g = 2*a - 8, g - a = 2*g + 11. Let d be h(g). Find the second derivative of 2*t**d - t**3 - 3*t - 2*t**2 wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 6. Let q be (-6)\/57*-20 + i. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1177 + -0.0177. Which is the closest to i? (a) -3\/5 (b) -1\/3 (c) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1823 - 231 = 833*u - 754*u for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36410 and 24715108.\nAnswer: 123575540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**23\/o**(-1\/23) assuming o is positive.\nAnswer: o**(530\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1003, 3629, 7997, 14101, 21935, 31493?\nAnswer: 42769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60160*q**3 - q**2 - 3*q + 1183?\nAnswer: -360960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 - 2. Let c = -0.5081 - -0.30836. Let m = c + o. What is m rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by 256.\nAnswer: 19\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -113*u. Let p(c) = 321*c**2. Calculate m(p(n)).\nAnswer: -36273*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2. Let l(r) be the third derivative of r**5\/60 - 13*r**2. Calculate l(x(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/((-4)\/((-16)\/(-6))). Let f be (-6)\/6 + (3 - 0). Let u = q + f. Which is the third biggest value? (a) -1\/5 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707538.7l in millilitres?\nAnswer: 707538700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11110000110111 (base 2) to base 9\nAnswer: -23127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 34\/7168229?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19498, 19501, 19506, 19513, 19522, 19533?\nAnswer: 19546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g. Let s(p) = 35*p + 4. Suppose -2*i - 5*r + 2*r - 6 = 0, 12 = -3*r. Let z(n) = 2*n - 2 + i - 2 - n. Let m(k) = -s(k) - 4*z(k). Determine m(f(v)).\nAnswer: 39*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 4*i = -25. Put 8, -1, i in ascending order.\nAnswer: -1, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.246407 to two dps.\nAnswer: 63.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74313 and 92?\nAnswer: 297252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*((-90)\/(-270))\/((-1)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.4, 26\/7, -1116?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 6*r. Let g be d(4). Is 106*2\/g*-2 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18580659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.92? (a) -8\/9 (b) 2 (c) -2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 - 0.08. Let x = 716.9 + -717. Which is the nearest to x? (a) 0 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/32*(-1)\/9*9\/33 and 83\/792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4537955.5 to the nearest 10000.\nAnswer: 4540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from zzpzkiipkpizkpzkzkii?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 129080*o - 1807312. What is c(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40233 (base 8) in base 10?\nAnswer: -16539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = -6*d. Solve 5*s + 10 = -d*o, -11 = -3*s + 2*s - 3*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.4 (c) -4\/3 (d) 1\/3 (e) 4 (f) -89\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvlliivll. Give prob of sequence iil.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.52? (a) 0.1 (b) -30 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - z - 4. Let w = -2 - 1. Let f be 2\/((-14)\/6 - w). Let i = f + -3. Determine u(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -11*x**2 + 2*x + 4. Suppose 21*u = 871 - 850. Let b(r) = -r**2 + r + 1. Determine u*k(g) - 4*b(g).\nAnswer: -7*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*t = -1048 + 228, 3*a + 5*t - 824 = 0. Solve -8*k + 268 - a = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 21870840.\nAnswer: 1\/21870840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11004 (base 7) to base 10.\nAnswer: -2748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 5. Let j be w(5). Let l(x) = x**2 + 2*x - 1. What is the remainder when 55 is divided by l(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 2*q - 57. Suppose -q = -4*j - 2*n, j + 5*n + 16 = 2*j. Suppose 1017 = -13*s + j*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3140 = -5*i, -8*i + 4*n = -10*i + 1250. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 9*k + 13. Let b be d(-10). Solve 5*y = -s + b*y - 8, 0 = 2*s + 5*y + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2. Suppose g - 2*g - 2*p = 0, -14 = 4*g + p. Let b = 36 - g. Let n(y) = 33*y - 69*y + b*y. What is j(n(c))?\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27553 and 934.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55414 + -27154. Round d to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29609*q**2 + 17395 wrt q?\nAnswer: -59218*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 316021681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136 + -126. Calculate the remainder when 2\/6 + (-220)\/(-6) is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 487*i - 1. Let g(a) = -31*a - 5. Let s(x) = 3700*x + 600. Let o(k) = -120*g(k) - s(k). Give c(o(j)).\nAnswer: 9740*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (0 + -6 + 9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-7*-18344*(-1)\/56)\/(2\/(-6)) and 3.\nAnswer: 6879","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3357 (base 10) to base 13\nAnswer: -16b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 - c + (0 + 3 - 1)*(-c + 0*c + 3*c) + c - 3*c + 4*c + 1 - 1 + 7*c)*(1 + 4*c - 7*c + 5*c).\nAnswer: 24*c**2 + 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2736 - -2796. Calculate the remainder when 178 is divided by q.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(2\/3)*j)*j)**(-4\/7)\/(j*j**(-6)*j**(-1))*j**2\/((j\/j**(1\/6)*j)\/j)*(j**2)**(-2\/13) assuming j is positive.\nAnswer: j**(3641\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2817188 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2229913 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 - 1023\/(-62)*4\/18 and -38\/111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2394322915 to the nearest integer?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*r + 18 = 0, -3*r - 3 = -3*c - 2*r. Suppose 0*s + s + c = 0. What is the nearest to -1 in -1\/3, -0.2, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**4\/12 - 50*k**2 + 4*k - 1. Let t(z) = -32*z**2 + 12. Give q(t(a)).\nAnswer: 64*a**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -264 - 218988*y + 219022*y + 78. Let m be r(-7). Are m and -423 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -129.\nAnswer: -129, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -0.7. Let g = -10.2 - -11. Let p = 3.2 + g. Which is the nearest to -1\/4? (a) p (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 6, 0.5, 4, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 81, 83, 85, 87, 89?\n\"Answer: 2*a + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 242 (c) 79 (d) -283\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (0 - (-4 + 3))) + 6. What is the third derivative of -28*h**2 + 8*h**6 - 3*h**6 + 246*h**y - 240*h**5 wrt h?\nAnswer: 600*h**3 + 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*s**4 + 145*s**2 - s?\nAnswer: -1992*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -0.5. Let p be (-2 - (-15)\/12)*-1. Which is greater: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 318?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1228520*-0.2.\nAnswer: -245704","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/13))**(-2\/57) assuming p is positive.\nAnswer: p**(-4\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 87699*z - 1577934. Calculate j(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 41*z - 4. Let f(j) = 2524*j - 606. Let d(u) = 1263*u - 283. Let o(y) = 9*d(y) - 4*f(y). Determine -123*b(v) + 4*o(v).\nAnswer: 41*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4 - 2*n**3 - 25*n**2 + 2*n + 24 = 0. What is n?\nAnswer: -4, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193780*b**3 - 193783*b**3 + 4*b - 20*b + 16*b.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12055452 + 4?\nAnswer: 12055500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 1:36 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 18 - 19 + 2*s**3 - 3*s**3. Let q(g) = -37*g**3 + 6*g**2 + 9*g + 1. Let m(h) = -q(h) - 3*z(h). Let c be m(-6). Round c to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33326*s**3*u - 648*s*u + 87084053*u with respect to s.\nAnswer: -99978*s**2*u - 648*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -445999 take away 419?\nAnswer: -446418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 16. Let j(f) be the first derivative of 170 - 182 - f**3 + q*f**3. Let c(m) = -2*m**2. Determine j(c(d)).\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -3\/38439653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 36*l**2 - 6*l**2 - 3*l**2 - 14*l.\nAnswer: 29*l**2 - 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - 0.02. Sort -5, g, -2 in decreasing order.\nAnswer: g, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 11101010011?\nAnswer: 11101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**5 - 2*a**5 - 6*a**5 + (3*a**3 - 5*a - a**3 + 3*a + (-a + a + a)*(-a**2 + 4*a**2 + 0*a**2))*(23*a**2 - 125*a + 125*a).\nAnswer: 112*a**5 - 46*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 25. Let g be f(-7). Suppose -5*o = h + g, 0 = 3*h + 3*o - 0*o - 3. Suppose h*a - 4*x = -8*x + 76, -5*a + x + 107 = 0. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8183181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -140*l - 21232. Determine b(-152).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 6) + -2 + 1 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnnczzwh. What is prob of picking 1 h and 3 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 2 (b) -4.3 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.020975 * 134.5.\nAnswer: 2.8211375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x - 9 = 24*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 4, l: 2, y: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 46*c - 446. Give u(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 30433*r - 15. What is y(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2719 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 435 + 219 + 216.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 12*b - 378. Let d be z(-11). What is the closest to -1\/4 in 0.3, -658, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 121*b + 251*b - 88*b to d*b + u and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-12))\/(6*2\/(-144)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 1, 7, 79, -1\/3, -27, -0.02?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419865.28 milliseconds in weeks?\nAnswer: 0.0040011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 185, 118, 61, 20, 1, 10, 53?\n\"Answer: x**3 - x**2 - 71*x + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 1:04 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 51, 96, 143, 192, 243?\n\"Answer: i**2 + 42*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18927, -17634, -78569, -163878?\n\"Answer: -12187*c**2 + 31114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s - 7. Let o(u) = 14*u - 20. Let w = 74 - 44. Suppose n = 3 + w. Let i = n - 39. Calculate i*o(r) + 17*l(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 1742 = -1162. Let p = 137 - y. Let j = -66 - p. List the prime factors of j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1416271.7 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 35*g**2. Let h(o) = -o**2 + 5512*o + 1. What is h(s(q))?\nAnswer: -1225*q**4 + 192920*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -27. Suppose -2*y = v - 43, -v - 4*y + g*y = -39. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 677366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 2*d**2 - 2*d**2)*(-29 + 15 + 9).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(-2 + 1 + 0)*(4 - 2 - 1)*(-183*u + 673*u - 169*u) to g + b*u and give b.\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, 13, 28, 39, 46, 49?\n\"Answer: -2*z**2 + 25*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 0.03 (c) 1\/3 (d) -26 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 + 1 + 5 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 539. Give k(39).\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138690458 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 173, 2, -4, 0.024, -1\/2 in descending order.\nAnswer: 173, 2, 0.024, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-2)*2222\/55. Suppose -122 = -h + f. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000069837 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -4265, -8.22 in descending order.\nAnswer: 49, -8.22, -4265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*q**3 + 314*q**3 + 322*q**3 + 316*q**3 - 1551*q**3 + 328*q**3.\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) 0.8 (b) -3\/10 (c) -1 (d) 0.1 (e) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, 2, 4, -209.\nAnswer: -209, -16, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 0 + (0 - 2) + -272 + 261\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36588 divided by -18294.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v - 4 + 3 + 5*v**3 - 1 - 2*v**2 - 4*v**3. Let j be i(3). Let n = -2 - 1. Sort j, n, -5\/6 in ascending order.\nAnswer: n, j, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 7*m - 30. Factor 2*t**2 + 24 - m*t**2 + 13*t**2 + 25*t - 9.\nAnswer: 5*(t + 1)*(2*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42520 + -15.0797?\nAnswer: -42535.0797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2971 or -2978?\nAnswer: -2971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2041 divided by -5\nAnswer: 2041\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**7\/420 - f**6\/720 + 4*f**5\/15 - f**2. Let v(r) be the third derivative of c(r). What is the derivative of v(w) wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 55.01. Let r = a - -0.19. Let u = -2.199945 + r. Round u to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*n - 5*t + 121, 4*n + 97 = -t. Is (n\/(-6) + -158)*-2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33\/116 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b (base 13) to base 15\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + sqrt(7) + sqrt(252) + 0 + sqrt(7) + sqrt(7) + -3 + (sqrt(560)*-1)\/(sqrt(5) - sqrt(5)*-2*-3).\nAnswer: 2 + 49*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26832.198 months?\nAnswer: 2236.0165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2 - (-3060)\/(-8). Let m = 392 + z. Let s be 297\/6*(3 - -1). Calculate the greatest common divisor of m and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1129 * -0.31.\nAnswer: -349.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3250.35018 minutes to weeks.\nAnswer: 0.322455375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5148 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 9:21 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -136310, -136309, -136308, -136307, -136306?\n\"Answer: y - 136311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 19. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**2 + 3*v + 1. Suppose 3*n + 3 = -3. Let f = 10 + 17. What is the remainder when f is divided by a(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29563, -59168, -88773, -118378, -147983, -177588?\nAnswer: -207193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-324)\/144*1360\/(-15). Which is the nearest to 2? (a) 2\/11 (b) -0.8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12947953.2 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1664452.7 + -1661950.2338. Let o = -2503 + s. What is o rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o - 121 = 19*o + 962 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**5\/60 - o**4\/8 - 5*o**2\/2 - o. Let a(g) be the first derivative of n(g). Factor a(s).\nAnswer: s*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53\/1768 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 4. Let q = 34387 - 34388. What is the closest to q in t, 4\/7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.159 and -27670.\nAnswer: -27669.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*(-12)\/44\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 450599589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7314926 and -0.3.\nAnswer: -7314926.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3 = -s, 18*z - 10 + 34 = s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -13*w + 11. Let i(r) = -2*r**w + 58 + 66 - 124. Let g(y) = -50*y**2. Give i(g(j)).\nAnswer: -5000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 26 - (-23287)\/876\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 3044*k**2 + 15144*k + 18144.\nAnswer: 4*(k + 2)*(k + 3)*(k + 756)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -618 - -411. Let k = v - -128. Let n = k - -73. Which is the third smallest value? (a) -2 (b) 4 (c) 5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -24) + (-12 - (-19 - -8))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -13*l**2 + 2*l - 14. Let m(p) = -4*p**2 - p + 1. Give j(d) + 4*m(d).\nAnswer: -29*d**2 - 2*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 436803 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**5\/80 - 37*z**4\/48 + 83*z**3\/12 - 24*z**2 - 1386*z. Factor j(r).\nAnswer: (r - 32)*(r - 3)*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*k + 6 - 41*k + 94*k to the form q*k + x and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002102010 - 220001201?\nAnswer: 12100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2029 and 3073?\nAnswer: 6235117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5041, 3832, 535, -5900, -16523, -32384, -54533?\nAnswer: -84020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344141 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1731 (b) -1\/2 (c) -255\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*l = 474*l + 4000 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-134)\/(-57068))\/(21\/5271) + 2. Let l = -2\/1297 - f. What is the common denominator of -19\/84 and l?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60231 (base 7) in base 6?\nAnswer: -151130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/7)\/(5\/(-35)). Is ((-3352)\/t)\/(-2)*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/112 and 87\/16529392?\nAnswer: 115705744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 17622.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-72)*(12\/(-10)*(-180)\/27 + 560)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 488952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70904704 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.1 - 7. Is d at least as big as -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -6) + (-31 + 30 + 2 - (-3 - 133))?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -30. Suppose h = -4*r + 2*i + 56, 0 = 5*r + 5*i - 14 - 26. Suppose -r + 15 = y. Solve y*k + 4*t = -25, 0 = -5*k + 3*t + 2 - 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.857611038 rounded to 4 dps?\nAnswer: -0.8576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8b (base 16) to base 4\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.63*0.016.\nAnswer: 0.12208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 10 + 0)*(-2*p + 3 - 3) + (7 - 2*p - 9 - 12)*(-2 + 3 - 2) to the form n + l*p and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129 + 129.000804. What is p rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*w = -74, w = 3*p - 0 - 50. Let o(n) = -197*n**2 + 63*n - 6. Let c be o(p). Round c to the nearest 1000.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.55 * 302.9.\nAnswer: -166.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 248*y**2 - 510*y + 2507. Determine p(250).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 17. Let j = g - -5. Let m = j + -15. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.3 + -8. Let y = 666 - 661.89. Let i = -0.11 + y. Which is the closest to q? (a) 0.3 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/45)\/((-4*(-2)\/2)\/(-10))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (4 - 5) - (3 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -474 (b) -60 (c) 3\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 5*l**2 + 4*l - 10. Let r be n(-6). Solve 0 = -4*y + r*j - 18, -4*y + 0*j = -j + 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*y = -165, -13*y + 92 = 3*c - 15*y. Calculate the remainder when 1192 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 281 + -275. Suppose -m*b = 242 - 980. List the prime factors of b.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 8. Let k be 2*(0 + -1) + -3. Let b be 4\/k*(-3 + z). Put -1, b, 2 in decreasing order.\nAnswer: b, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**3\/3 + 5*g**2\/2 - g - 6. Give r(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45326*o - 4*o**3 + 433*o**2 - 408*o**2 - 45326*o.\nAnswer: -4*o**3 + 25*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.893323g?\nAnswer: 3893323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(152)*1 + 1*(sqrt(152) - ((sqrt(152)*-2 + sqrt(152) - sqrt(152)) + sqrt(152))))\/(sqrt(64)\/(-3*sqrt(800))))**2 + 5.\nAnswer: 837905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5*c = -50, -5*w - 3*c + 2*c = 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**4\/48 + k**3\/4 + 9*k**2\/8 - 6*k + 7. Let j(c) be the first derivative of m(c). Factor j(u).\nAnswer: (u + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101100 + 110000?\nAnswer: 1101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/4)\/w)\/w**(1\/10))\/(w**1\/(w\/w**(-4))))\/(((w**(-3)\/w)\/(w*w**6\/w*w*w*w))\/(w**(-3)*w**(-2\/11)\/w)) assuming w is positive.\nAnswer: w**(2633\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-21)\/(819\/(-65)). Let p(c) = -3*c + 6. Let n = 3 - -1. Let i be p(n). Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210263053 is divided by 15552.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -115044298833.4 and -1679.\nAnswer: -115044300512.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 3. Suppose 3*p = 9, 3*u = 2*u - 3*p + 21. Suppose 8*m - 5*m + u = 0. Put y, m, -3 in descending order.\nAnswer: y, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 12:46 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 224901738 divided by -74967246?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/3121 or -1?\nAnswer: -22\/3121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 28 = 23. Suppose 3*y - 150 = -5*t + 43, -10 = -2*t. Suppose -y = -v - l. Calculate the remainder when v is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-30)*(2 + -8 + (-186)\/(-36))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92434 and 5637656.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162 divided by -6.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72\/7 in 0.4, -30, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 4 + 4)*(-88*t - 940*t - 857*t).\nAnswer: -1885*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 4465?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 2*q - 24 = 0. Let a(o) = -2*o**2 - o - 1. Determine a(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n - n - 3*n. Let y be 11 + (-7 - 5) + 0 - 5. Let g(c) = 3*c - 2. Calculate y*i(q) + g(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpb when three letters picked without replacement from {w: 2, s: 2, b: 1, g: 1, p: 1, x: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3641987932312 plus -0.14?\nAnswer: -3641987932312.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 169 + 137. Let r = y + -305.9999877. What is r rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -3, -6, 3, 6085, -12 in ascending order.\nAnswer: -12, -6, -3, -2, 3, 4, 6085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + t + 1. Let z be o(0). Let r = -1 + z. Let i = 4 + r. Solve 0 = 3*w - i - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 13*o**2 + 40*o - 10. Let w be j(-7). Let q = -5.1 + 5. Which is the closest to q? (a) 14 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78957 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16917152 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30079197*f**3 - 31137427*f**2.\nAnswer: 180475182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grjiejigrihgjer. Give prob of picking 1 i and 1 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 344 (base 5) to base 2\nAnswer: 1100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75403.77 decades to months.\nAnswer: 9048452.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2456274 is divided by 4425?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.061710625 to five decimal places.\nAnswer: -0.06171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8079 + -208?\nAnswer: -8286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyrk when four letters picked without replacement from {p: 1, r: 1, x: 7, k: 4, y: 3}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (94 + -88 - (0 - 1))) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.12805, 0.2, 88?\nAnswer: 0.12805","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 - 48. What are the prime factors of p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09979 - 877.19021. Round z to 0 decimal places.\nAnswer: -877","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1855495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70628 + 292053 = 11*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 102. Let o(h) = -h**3 + 4*h**2 - h. Let s be o(l). Solve 3*y - x - 7 = 0, 4*x + s = -y + 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -27. What is the greatest common divisor of 91 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27771 times 1.2482?\nAnswer: -34663.7622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 12 = -2*j + 4*f, -4*f = 4*j + 4. Let d = 8186\/31 - 264. Which is bigger: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(110)*2 - sqrt(110))\/sqrt(10))**2 + sqrt(176)*3 + -4.\nAnswer: 3 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006283 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2334)\/12 - (-6)\/12. Let i = 184 + w. Sort -1, 3, i.\nAnswer: i, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r + 11416 - 11420 - 17*r. Determine c(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10544711 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7135108 at least as big as 7135109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*w - 21*w + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 24. Let t be ((-8)\/z)\/(18\/135). Let u = t - -17. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikiikiiiiiiiiikiik. Give prob of sequence kii.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3, 5 = 4*s - 7*s - 5*y. Suppose s = -31*u + 54*u - 437. Calculate the remainder when 359 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*b + 3. Let d(u) = -u**3 + 3*u**2 - u - 2. Let c be d(5). Is b\/(1\/(2 - c)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/63 > 55.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 374637*-37.9.\nAnswer: -14198742.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1196*p + 46. What is c(0)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31164 - 2159*r - 31164 to o*r + m and give o.\nAnswer: -2159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -784, -1566, -2350, -3136, -3924, -4714, -5506?\nAnswer: -6300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -575114 < -575115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1\/20*20\/5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.008 and -68965.\nAnswer: -551.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 7:11 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/440)\/(21\/(-12))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -7*t - 61. Let a(j) = 33*j - 9*j - 24*j - 10*j**t - 1. What is a(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 1 - 1 + (-738 + 71 - 739)*(0*l - l + 0*l) in the form i + b*l and give b.\nAnswer: 1405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2 - 9*s - 10. Calculate c(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196*l**2 + 99*l wrt l?\nAnswer: -392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.2 + -14.2. Let j = 11.57 + b. Let n = -3.57 + j. Sort 3, -2\/11, n.\nAnswer: n, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -11 + (23 - -24)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -10*s + 156. Determine q(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/4 (b) -429 (c) -22.72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzz when three letters picked without replacement from mmmzjzzjzm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(((sqrt(432) - ((sqrt(432) - sqrt(432)*-1) + sqrt(432))) + 0 + 1)**2 + -4)*1.\nAnswer: -3450 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 161292 != 161292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - f = -4*m + 13859, -f + 34651 = 5*m. Is m a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65612.2 + -65612. Suppose 2*l - 2*i = -5 - 1, 0 = 2*l + 4*i. Which is the closest to l? (a) 0.3 (b) o (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138 - 106. Let w = -31.99864 + h. Round w to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 68*q + 441. Let t(l) = -3*l**2 + 135*l - 881. Let u(s) = -2*t(s) - 5*x(s). Find the first derivative of u(g) wrt g.\nAnswer: 2*g + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484470 is divided by 7942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 33\/21)\/(80\/8 - 12)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.3, 14.2, -114, -5, -32 in increasing order.\nAnswer: -114, -32, -5, -3, -0.3, 14.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 242051\/32 bigger than 7563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/((-4)\/(-24)). Suppose z*v = -3*n, 5 = v + 2*n + 6. Sort v, -3\/5, -1, 0.4 in decreasing order.\nAnswer: v, 0.4, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72*10\/(-15)*72\/(-144).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.335 in -4, -2\/7, 1\/18, 24?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/10 (b) 3 (c) -1\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -464 - -466. What is the remainder when u is divided by (-2)\/8 - (-10)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*w = -21, -5 = -3*v + w + 8. Suppose -x + 5*x + 13 = h, 0 = v*h - 4*x - 49. List the prime factors of (-2 - 91)*(-3)\/h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -321*u**2 + 125*u - 18. Let d(c) = 4*c. What is d(w(a))?\nAnswer: -1284*a**2 + 500*a - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 217 - 210. Solve 0 = 4*q + u - 10, -2*q - 5*u = -l*q + 25 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a21 + -b239?\nAnswer: -8418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170007 is divided by 11299.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**2 - 17*m**2 - 2*m**3 + 0*m**3 + 0*m**3 + 22*m**2 + 49*m**2.\nAnswer: -2*m**3 + 68*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 697 - 696.8. Let c be -1 - 0 - 5\/(-15). Sort c, -0.4, 1\/4, i.\nAnswer: c, -0.4, i, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 0*v + v)*(142 - v - 391 + 158).\nAnswer: 4*v**2 + 364*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9a - -3?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.80004 - -1.8. What is q rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 9*v - 2. Let z be u(9). Let c = z - -5. Suppose 0 = c*k - 408 + 144. Calculate the greatest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 1456 = -16*m. Let i = -69 - m. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 3, t: 1, e: 1, k: 1}. Give prob of sequence ote.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 53c8 (base 14) to base 6\nAnswer: 151020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjvjjjjjjjvjjvjjjj?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.491 - -4.49092046. Round j to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 11 = 1. What is the closest to v in -3\/4, -2\/19, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53.19167 - -53.2. What is o rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 14*p**3 + 6*p**2 + 486*p + 960. Determine d(-2).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5732\/(-300930)*(20\/3)\/4?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 c, and 1 x when three letters picked without replacement from {p: 3, x: 5, a: 7, c: 4}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.0290643314 minus -5?\nAnswer: 12.0290643314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -62, -177, -360, -605, -906, -1257?\n\"Answer: u**3 - 40*u**2 - 2*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeq when three letters picked without replacement from {c: 6, e: 4, q: 3, p: 3, o: 4}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 19. Suppose -35 = -b*x + 70. Solve -2*a + 3*l - 6 = -1, 5*l = -2*a + x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -5*f - 47 - 308, -58*i + f = 5*f + 334 + 112 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 v, 1 b, and 1 w when four letters picked without replacement from {t: 1, w: 1, l: 1, v: 1, b: 2, e: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2124841713 take away 1031?\nAnswer: -1031.2124841713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -32*y + 15 - 2 - 11 + 105. Let f be o(3). Let z(l) = l**2 - 4*l + 6. Let d be z(5). What is the greatest common factor of d and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7623) + (sqrt(7623) - (sqrt(7623) + -1*sqrt(7623))) - sqrt(7623))\/(1*sqrt(441)).\nAnswer: 11*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18 - -1) + 4\/1. Let n = -5 - r. Let g(y) = y**2 - 7*y + 8. Let f be g(7). What is the highest common divisor of f and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -22. Let s = 21 - -3729. Let z = -14923\/4 + s. Find the common denominator of o and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**4\/2 + 31*f**3\/6 - 8*f**2. Is v(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*104\/(-702)*(-9)\/(-2).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 47. What is the remainder when 18 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 328\/(-6 + 14) + 1*-4. Suppose 33*s + 452 = m*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -2*u - 48. Let i(p) = -18*p - 16*p - 13*p - 4 + 3*p. Let b be i(-2). Calculate the greatest common factor of b and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 78. Solve -p*s + 26 = -2*m, -2*s - m + 4*m + 19 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.43 from 6809815.\nAnswer: 6809814.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4 + 750*o**3 + 62682*o**2 - 1460558*o + 1397124 = 0.\nAnswer: -197, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -4*n + 40, 3 + 21 = 4*d + 65 - 17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*i**4 + 277*i**3 - 7187*i**2 - 165613258?\nAnswer: 28*i**3 + 831*i**2 - 14374*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 25 = -16*v. Let w = 36 - 255. Let h = 2411\/11 + w. Which is the closest to h? (a) -0.3 (b) -1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/703944 and -46\/2391.\nAnswer: 561043368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 5. Let n be -3*(-2 + 2 - -1). Let c(h) = -7 + 4 + 2. Calculate n*c(l) - y(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -190*h**3 - 4*h**2 - 5*h - 114. Let s(l) = -l**3 - l**2 - l - 7. Let y(m) = 4*s(m) - v(m). Differentiate y(p) with respect to p.\nAnswer: 558*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 1845.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o - 5. Let j(d) = 6*d - 8. Let c(b) = 2*j(b) - 3*s(b). Let r(f) = -16*f**2. Give r(c(v)).\nAnswer: -576*v**2 - 192*v - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 9*z**2 - 11*z + 30. Determine j(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 536453046 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*1*-10 + -2. List the prime factors of 6*14*2\/o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 66*m**2 - 2*m - 1 - 58*m**2 + 11*m**2 - 54*m**2.\nAnswer: -167*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19630 and 3466960.\nAnswer: 45070480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u - 4 = 0. Let k = 3.6 - 5.6. Which is the closest to u? (a) k (b) -1\/8 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a day in seconds?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 10:18 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-1 + -2 + -1)**2 + 5 + (sqrt(1331) - (-1 + sqrt(1331))*-1).\nAnswer: 64*sqrt(11) + 552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*m + 2209 + 716. Suppose 37 = -q + m. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 - -129. Solve 6 = -2*s + 5*v, -t*s + 2*v = -4*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 3*t**6\/5 + 17*t**2\/2 - 36*t. Differentiate x(d) wrt d.\nAnswer: 72*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 + -24 + (-33)\/3 + 70\/7)*-35\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/619 (b) 5\/2 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -5. Let i be (7 + -6)\/((-1)\/(-1)). Let d be 1\/((-1)\/(-6)) - 2. Sort i, p, d in ascending order.\nAnswer: p, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338775 is divided by 142?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174642 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -210, -880, -1996, -3558?\n\"Answer: -223*j**2 - j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z + 336. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, p: 2, x: 1, z: 4}. What is prob of picking 1 x and 2 p?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 300 + -136. Calculate the least common multiple of z and 22.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 169 = o, 2*o + 336 = -0*o - 3*h. Let j = -99 - o. Suppose 2*r + 2*r - j = 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1055695 is divided by 55551.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -872 = -60*p - 452 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450 = -1496*y + 1511*y for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jau when three letters picked without replacement from uaaaajujaauajajj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 11, 0.1, -1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-7980)\/16)\/35)\/((-3)\/16). Solve -19*f - c = -0*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**3\/2 - 4*b**2 + 2*b. Let w be c(6). What is the greatest common factor of w and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/33480 and -117\/1930.\nAnswer: 6461640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91.001628 + -91. What is a rounded to five decimal places?\nAnswer: 0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + w. Let m(j) = -3*j**2 + 15*j - 2. What is -m(a) - 5*n(a)?\nAnswer: -2*a**2 - 20*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115.2 + -115. What is the nearest to y in -0.5, 1, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(117) + (3 + sqrt(13))*-1)*-2.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-3 - 0 - (-18 + 14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 + 3*n**3 - 9*n**2 - 3*n + 6 = 0. Calculate n.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-426)\/(-8)*(-9 + 13) and 6.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-19)\/(2 + -1). Let p be (4\/3)\/(12\/o). Let i be 5 - (-5 + p + 3). Solve -2*k - 3*k + i = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26791, -26, 27?\nAnswer: -26791","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 + 15*g**2 - 6*g**2 in the form c + f*g**2 + x*g and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*w - 76, 0 = w + 4 - 6. Find the second derivative of 25*y - 4*y - k*y**5 - 11*y wrt y.\nAnswer: -280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 3*l - 9 + 2, -19 = 3*o + 5*l. Calculate the smallest common multiple of 2*(-1)\/2*-2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.041878656 to three decimal places.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 + 0. Let d = -4.03 + c. What is the nearest to 2 in 0, d, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1471804, 1471803, 1471800, 1471795, 1471788?\nAnswer: 1471779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*g + 61 + 8. Suppose 0 = g*b - 9*b + 1350. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**5 + 1694*u**3 - 6233*u**2.\nAnswer: 120*u**2 + 10164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377069193 to the nearest integer?\nAnswer: 19418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1460\/90 + (-4)\/18. Suppose -2*q = 4*t + 10, t + 19 = 5*q + 22. What is the closest to u in 1, -5, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111880 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-6))\/(6\/9). Suppose 2*b - w*b = 16000. What is b rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983.517 nanometers in micrometers?\nAnswer: 0.983517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*g + 13 = -3*u, 5*u + 5*g = -35. What is the nearest to 1 in 3, u, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 2 - (-10 + 16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/1047, -0.4, 27?\nAnswer: 8\/1047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 191050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 44*g**2 - 13 + 5*g + 0*g + 7*g - 43*g**2. Let i be r(-14). Suppose 12*p + 207 = i*p. What are the prime factors of p?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/(-2) - (-20)\/12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008076 rounded to five decimal places?\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(3969) - (sqrt(3969) + 4*(sqrt(3969)*-3 + sqrt(3969)))) + sqrt(3969))\/(-2*(sqrt(700) + -3*sqrt(700))).\nAnswer: -1 + 81*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c + 2*c - 10*c. Let r(p) = 1. Let q(x) = -b(x) + 5*r(x). Let v(i) = -1. What is 2*q(t) + 9*v(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 22*n + 65. Suppose -113*z + 227*z = 121*z - 42. What is b(z)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6 + j**2 + j**2 - 2*j - j**3 + 4*j**2. Let q be r(6). Let v = 9 + q. Solve -4*h = -v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 12 = 2*y, 4*n - 42*y - 18 = -40*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 121419 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.32 times 0.04?\nAnswer: -0.0528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -14*(25\/10 + -3). Suppose -i*x = -3*x - 24. Suppose x*b = 29 + 91. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**6\/6 + g**5\/4 + 5*g**4\/4 - 25*g**3\/6 + 5*g**2 - 8*g - 10. Let h(r) be the first derivative of u(r). Solve h(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.92 + 0.08. Let k = 3.8 - z. Let v = k + -1. Which is the nearest to -1? (a) 4 (b) v (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r + 0*r + 3*r + (r - 2*r + 3*r)*(2 + 0 + 0) to d + v*r and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7525355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**3 + 152*g**2 + 5*g + 3. Let z(p) = p**3 + 52*p**2 + p. Let m(y) = n(y) - 3*z(y). Give m(-3).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/6 + 53*u**2 - 321*u\/2.\nAnswer: u*(u - 3)*(u + 321)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 43*q**2 + 629*q + 8608. What is r(-14)?\nAnswer: 8230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 169988, -8?\nAnswer: 169988","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 13*l**2 + 3. Let c(f) = -6*f**2. What is w(c(t))?\nAnswer: 468*t**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 156 = -2*k. Let b = -23 - k. Suppose 0 = 5*a + 3*c - 114, -4*a + 1 + 85 = 5*c. Calculate the greatest common factor of b and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + u = h - 17, 3*h = 4*u + 53. Solve -2*z - h = -7*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 3*n. Suppose 0 = 3*w - 3*u - 435, 3*u + 9 = -n*u. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3081 - 649. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 0 + 4)*(-4*r + 0*r + 3*r) - 2*r + 4*r - r - 3*r - 5*r - r)*(0 + 0 - r)*(0 + 2 - 6).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times 1261.0332\nAnswer: -1513.23984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 55. Let h be r(-28). Which is smaller: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -2\/9 (c) -35\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 1:15 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 - 420739.\nAnswer: -420737.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1263518*j**4 + 2323011 wrt j.\nAnswer: -5054072*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllmlmb. What is prob of sequence bl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -407*g - 12621. What is x(-31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 172*s + 2303. Calculate x(-13).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*q - 2*q**2 + 12 - 12)*(-19 + 19 + 4*q) + (-4 + 4 - 4*q)*(-10*q**2 + 12*q**2 + 8*q**2) as c*q + g*q**3 + b*q**2 + w and give g.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44.29 + 43.29. What is the nearest to c in 3\/2, -0.005, 0.3, 1?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 141?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2895, -13316, -30683, -54996?\n\"Answer: -3473*v**2 - 2*v + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -13*x. Let f(t) = 53*t. What is -22*a(s) - 6*f(s)?\nAnswer: -32*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18245?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 8*l - 7. Let m be p(-9). Let d(x) be the first derivative of -7\/2*x**m + 1\/3*x**3 - 1 + 5*x. Determine d(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2433, -4856, -7279, -9702?\n\"Answer: -2423*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1237970 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4922, -4920, -4918?\n\"Answer: 2*n - 4924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*n + 11*n - n)*(n**2 + n**2 - 3*n**2) in the form i*n + m + o*n**2 + v*n**3 and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 995122713?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (54\/21)\/(-9*(-4)\/168). Sort -3, z, -1, 3 in ascending order.\nAnswer: -3, -1, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*a**5\/5 - 156*a**4\/5 - 506*a**3\/5 - 728*a**2\/5 - 392*a\/5.\nAnswer: -2*a*(a + 2)**2*(3*a + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19\/5 - 23\/10. Which is the nearest to -3? (a) 0 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-six fifths of a microsecond?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 82*o + 88. What is the units digit of v(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 4. Let c(p) be the first derivative of -p**2\/2 + p + 2773. Determine c(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -531 - -515. Let n(l) = -4*l - 62. Let s be n(f). Solve 0 = 4*u + k + 5, -2*u - 2 = -4*u - s*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 943a - -b1?\nAnswer: 94eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123 - 62. What are the prime factors of d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1214, 4803, 10776, 19133?\n\"Answer: 1192*d**2 + 13*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-118)\/(-40)*((-1)\/2 - 2) and 2\/6 + 575\/(-60).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 857893366 or 0?\nAnswer: 857893366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*s + 12, s = -0*s - 4*i - 14. Let x be (-70)\/5*1\/s. Is 33\/x + (-12)\/(-42) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.9 + -0.1. Let s = x - -12.7. Let m = -3.5 + s. Which is bigger: m or 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308 and 5166238.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 695\/6 + -115. Is 5 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2038470 + -27?\nAnswer: -2038507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 60415*a - 95. What is l(0)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 + 24*i**2 + 5*i - 15. Let s be u(13). Let p = 4021\/390 - -3\/130. Calculate the common denominator of 44*1\/(s\/(-52)) and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - o - 1. Determine z(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 84*r**2 + 666*r + 3838. Give f(-76).\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016969 to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((8 + -2)\/(-1))\/((-136)\/(-1700)). Let d = -60 + 32. Let m = d - z. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 91, 187, 303, 445, 619, 831, 1087, 1393?\n\"Answer: q**3 + 4*q**2 + 77*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/80*-5)\/((-3)\/15*5)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 8) + 7\/(28\/2200) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66.03 - -66. Which is the nearest to 0.1? (a) u (b) 1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-3 + -1*sqrt(108) - sqrt(108)) + (sqrt(108) + 0)*-1 - (sqrt(108)*-3*-5 - (sqrt(108) + (sqrt(108) - (sqrt(108) - -5*sqrt(108)*-2))))) + 1)**2.\nAnswer: 6720*sqrt(3) + 132556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfs when three letters picked without replacement from {s: 10, f: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u**2 + 8*u + 4. Let j(w) = -7*w**2 - 8*w - 4. Let o(c) = 7*j(c) + 6*q(c). What is o(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.051 (b) -3 (c) 8024 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 67. Let l = 54 + y. Let m = l + -11. Which is bigger: m or 0.28?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30470 and 40590.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -15*x**2 - 9*x - 9. Let t(m) = 8*m**2 + 5*m + 5. Suppose -15 = -7*z + 10*z. Let h(a) = z*f(a) - 9*t(a). Let s(r) = 3*r**2. Determine s(h(k)).\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 + -56. Suppose 0 = 23*p - q*p + 426. Does 41 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/12)\/(9*(-1394)\/(-272))\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times -290?\nAnswer: 9570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**5\/20 - 5*r**4\/12 + 4*r**3\/3 + 2*r**2 - 11*r. Let u be y(7). Let v = -108 + u. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 7:53 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7602194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.053 and -7894.7144048.\nAnswer: -7894.7674048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**3 - 9*u**3 + 2*u**3.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 1 = 3*l, 0 = -3*p + 4*p - l + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4128*r - 4127*r - 68 + 8257*r to a + s*r and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2941 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -5*g**4\/24 - 11*g**3\/6 - 38*g**2. Let d(t) = -796 - 2*t - t + 1588 - 798. Calculate -4*c(y) + 7*d(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 12:53 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 5*h**2 + 3*h**2)*(-h + h + 2*h - 3).\nAnswer: -2*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 21 = 2*a + 2*a, 7 = 3*n + a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -2. Let j be (2\/z)\/(12\/90). Let v be 1 + (-3 + j)\/(-2). Solve -v = l - 6*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120542 + 0?\nAnswer: 120542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -10) + 22 - 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 10*l**2 + 55*l - 10. Let p be b(-14). Let y be p\/14 - (-48)\/(-7)*-2. What is the highest common factor of 70 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6559182 and 6559183 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1818 - 20?\nAnswer: -1838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 2567488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(132) - 4*(sqrt(132)*-2 + sqrt(132)) - sqrt(132))*-2)\/((sqrt(192)\/(sqrt(4)*1))\/(sqrt(32)\/sqrt(2))).\nAnswer: -80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 5*n**2 + 29. Calculate the remainder when 154 is divided by s(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8 = -4*b, 5 + 1 = -3*h. Let t(g) = -g - 4. Let i be t(-4). Let r(z) = -z**2 - 5*z + 7. Let f be r(-6). Put b, f, i in decreasing order.\nAnswer: b, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39391327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 + 7*u**3 - u**2 - 2*u**2 + u**2 to b*u + l*u**2 + n + r*u**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4380332.66 rounded to the nearest one thousand?\nAnswer: 4380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c**(-4)\/c)))\/c)\/c*c\/c**(-9)*c**(-2\/3)\/c*(c**(-11)*c)\/c)**21 assuming c is positive.\nAnswer: c**(-203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -255 + 253. Let v be (-214)\/t - (21 - 6)\/(-3). Calculate the greatest common divisor of 48 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 4, 94.93, 19\/2?\nAnswer: 94.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*t - 0*m - 40, -50 = -5*t - 5*m. Let w = t + -6. Calculate the greatest common factor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 299872.7 centimeters?\nAnswer: 2998.727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 130, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 2*j**3 - 68*j**4 - 2*j**2 - 7*j + 70*j**4 to i*j**2 + n*j**3 + w + u*j + m*j**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 17. Solve -c = -2*c + k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 2*q + 0*q**5 + 0*q**4 - 6*q**2 + 0 + 0*q**3 - 8\/15*q**6. Find the first derivative of j(x) wrt x.\nAnswer: -64*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033708936 to six dps.\nAnswer: 0.003371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 284+1450422\nAnswer: 1450706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.6 - -22.6. Let u(b) = 7*b - 105. Let y be u(15). Let c be 1\/(-3) + y\/(-8 + 4). Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**4 + h**2\/2 + 1. Let y be (-46)\/(-10) + (-2)\/(-5). Suppose -4*u - 4*d = -0 - 4, 3*d = y*u - 5. Calculate r(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*348352\nAnswer: -5573632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 3*q - 4*q)*(1 + 1 - 5 + 1 + 1 - 4 + (-2 + 0 + 0)*(3 + 0 - 4) + 3 - 1 - 1)*(-386 + 189 + 182) - 2*q + 3*q + q.\nAnswer: 92*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(475))**2.\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 35*j - 69. Give l(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l - 674 - 147 = 219 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 497 or -13602?\nAnswer: -13602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 4*a - 2. Let t be s(2). Suppose 59 = 3*r - 3*z + t*z, r + 2*z = 29. Let u = r - 13. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 a, 1 e, and 1 d when four letters picked without replacement from {k: 4, d: 2, e: 2, a: 1, h: 2, f: 4}.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*n - 43*n - 41*n.\nAnswer: -265*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -15. Which is the third smallest value? (a) -0.2 (b) k (c) 0.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 11*s**2 + 3. What is b(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/2 - 3*i + 91\/2 = 0.\nAnswer: -13, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507\/169*(-8)\/6*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3\/2 - 703*h**2\/2 - 31931*h + 1511640 = 0.\nAnswer: -585, -152, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from tptkppo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2\/6 + 81550*a\/3 + 326240\/3 = 0 for a.\nAnswer: -4, 32624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 62200*x + 21042336.\nAnswer: 4*(x + 346)*(x + 15204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*f + 3*j - 2, 0 = 2*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*p**3 + 72 - 1 - 44*p**3 + 137*p**3 - 30*p**3 - 6.\nAnswer: 2*p**3 + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 91*t**2 + 39*t - 29. Determine p(46).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6 - 2. Let u be -1 - (-2)\/4*z. Sort -5, 5, u in descending order.\nAnswer: 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3064397364 to the power of 1\/3, to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1\/4, 0.2, -487\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5114672.\nAnswer: 2, 29, 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*z - 17*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + q**2 - q**2 + (2 - 7 + 4)*(2*q**2 - 3*q**2 + 3*q**2) - 2*q**2 + q**2 + 2*q**2)*(3*q - q + 68*q**2 - 69*q**2 + 13).\nAnswer: -q**4 + 2*q**3 + 13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4319768417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6018 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 39?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*y - 5. Let i(d) = -3*d - 4 + y + 4*d - 5. Suppose -116 = -23*j + 35 - 13. What is i(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 14*b**2 + 3*b - 4. Let d be j(2). Find the second derivative of 31*o**2 - 130*o - 56*o**2 + d*o**2 + 51*o**2 wrt o.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 4*r + 5. Let n be j(-4). Suppose 6 = 4*x + 4*v - 6, n*v + 21 = x. What is the greatest common factor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.092827822 - 0.09284. Round x to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -4\/5, 5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:17 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 4*i + 2. Let b be (-20)\/(-6) - 4\/(-6). What is n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -27944.303\nAnswer: 139721.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b - 265 + 300 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/4 and -37\/4610352.\nAnswer: 4610352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a - 37 = -3*j, 10 = 2*a. Suppose -3*g = m - 14, 4*m - j = g - 0*g. Solve 4*o + 4 = -3*l, o + 0*l + l = -m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4012 - -4009. Let g = 9 + -16. Which is the closest to -0.1? (a) o (b) -3\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 31. Suppose u*m - 32 = -8. Calculate the highest common divisor of m and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.45 + -8.45. Sort 0.3, -3\/4, h in increasing order.\nAnswer: h, -3\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3151 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.76905 to 1 dp.\nAnswer: -96.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + (-3*sqrt(204) - sqrt(204))*-2 - (4*(sqrt(204) + sqrt(204)*-1) - sqrt(204)))\/(sqrt(1200)*3 - sqrt(1200) - 2*sqrt(588)).\nAnswer: 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 2184*w.\nAnswer: -2*w*(w - 1092)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 20292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 15) to base 2.\nAnswer: -1101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -275692 + 275691.8. Let h be -1 - 1 - (-26)\/14. Put -2, w, 2\/5, h in decreasing order.\nAnswer: 2\/5, h, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54786899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(4 - 1) - 26. Let l = f + 95. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(1 + (-6)\/5). Let o = 13 + -16. What is the units digit of 220\/c + o\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09304 minus -37195022?\nAnswer: 37195022.09304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, m: 2, k: 1}. Give prob of sequence mkr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 14470.91 kilometers?\nAnswer: 14470910000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2 - 2*w + 2 + 1 + w. Let i be d(-4). Suppose -19 + 2 = -2*r + 3*s, -5 = i*s. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 4. Let m be z(7). Suppose 222 = h - 2*y, -m = 24*y - 25*y. List the prime factors of h.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 96, -1, -16 in decreasing order.\nAnswer: 96, -1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 2\/2593017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2. Let o(s) = 7*s**2 + 2. Give j(o(x)).\nAnswer: -49*x**4 - 28*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (216*w - 127*w + 52*w)*(4*w - w + 0*w).\nAnswer: 423*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) - (-20)\/(-21)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 18 = -4*j, 2*v = -4*j + 5*j + 1. Let i be 2\/(2\/22*v). Let t = 17 + i. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m - 2. Let h be n(3). Suppose h = -5*u + u. Let c = 8 + u. Calculate the remainder when 11 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n**3 + 9*n**2 - 17*n - 29. Give c(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/104, -2, -14 in ascending order.\nAnswer: -14, -2, 3\/104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -554.099994983 + 554.1. What is t rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/5*1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -907*j**3 - 11*j - 16. Let x(b) = -7257*b**3 - 90*b - 132. Calculate -33*l(h) + 4*x(h).\nAnswer: 903*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/1127 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/57 (b) -4 (c) 0.9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*y - 143*y + 221*y + 344*y)*(4 - 1 - 4).\nAnswer: -351*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1a1 (base 12) to base 5\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 + 8 - (2 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67475, 67460, 67445?\nAnswer: 67430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*b + 2170908 + 1234192. Round b to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.694 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/5 + 20085266*z**3\/5 - 60255786*z**2\/5 + 60255782*z\/5 - 4017052.\nAnswer: -2*(z - 10042630)*(z - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 20 = 4*v. Suppose -20 = -q + 4*w, -3*q + 28 = 2*q - 2*w. Suppose 2*f = b + 9 + 19, 2*f = q*b + 16. Solve -f = -v*n - 0*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3678 - 15*l**2 + 3678.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -302*a - 9558. Let g be d(-32). Sort 1, -26, -1, -3, g in descending order.\nAnswer: g, 1, -1, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571555?\nAnswer: 5, 114311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7686 and 708210.\nAnswer: 4957470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1)\/(-7*10\/(-140)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12532323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 - 7*u**2 + u**2 + (-96*u**2 + 61*u**2 + 67*u**2)*(0 + 0 + 1).\nAnswer: 29*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -2. Suppose 0 = 3*l - 5*l + k. Suppose 30 = -n + l*n. What is the least common multiple of n and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/4 - 27\/(-18). Suppose 6*a - q = -3. Let b be 10*9 - (4 - a). Is 89 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -11. Let f(y) = -2*y + 14. Does 7 divide f(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278329.6ms in nanoseconds?\nAnswer: 278329600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1220, -2442, -3668, -4904, -6156, -7430, -8732, -10068?\n\"Answer: -b**3 + 4*b**2 - 1227*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.013 and 5099734.6.\nAnswer: 5099734.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/6*1\/49*4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4771 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 9. Suppose 4*g - 8 = l, 5*l - 4*g = -g + 45. Let o = 24 - l. Calculate the least common multiple of z and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (22\/6)\/(144\/54)*-18 and 6\/17.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Suppose -2*p = 5*w - o - 6, 5*w = -4*p + 13. Solve 3*s + 5 = -w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11*b + 284. Determine n(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2035 + -2034.8. Which is the nearest to 4\/3? (a) h (b) 0 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 2:25 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o - 47*o + 25*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -166.\nAnswer: -33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.2 - 1.7. Suppose -4*g + 2*q + 0*q = -38, 4*g = -q + 23. Let k = g - 9. Sort c, 5, k.\nAnswer: k, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y - 1. Let b(u) = 7*u. Let q(k) = -6*b(k) - 5*w(k). Is q(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 25*z. Let s(w) = -11*w + 8*w + 2*w. Determine s(y(o)).\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.7473216 to 1 dp.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*k + 65*k = 8. Suppose -k*l + 4 = -4. Suppose -c + 2 - 1 = -l*y, 0 = 4*c - y - 32. What is the greatest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 817*o**3*p - 10530*o**3 - 5*o**2 - 139674*p wrt o?\nAnswer: 4902*p - 63180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7*f*f**(-2\/9))**(-1\/38)*((f*f**(-1\/4))**(-18))**17 assuming f is positive.\nAnswer: f**(-78559\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 14, -1, 61, 1\/3, -5\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 4, -1, 5, 12, 66.46?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 8*u + 26. Let t be h(6). Put t, -4, 32 in ascending order.\nAnswer: -4, t, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(-66))\/(35\/((-205800)\/(-80))).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.078441 times -108\nAnswer: -8.471628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 27 + 3 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -6. Suppose 0*k - t = -5*k. Suppose -2*u - 46 = -k*u. Is 23 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -376 + 321. Which is bigger: w or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -14.00276. Round q to 4 dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1437 divided by 6\nAnswer: 479\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -184 + 319. Differentiate -43*k - 68*k + 68 + l*k wrt k.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Suppose d - 2*d = h. Suppose -r - 2 = -d. Let x(a) = -a - 2. Calculate x(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 283860, 14 in decreasing order.\nAnswer: 283860, 14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 2 = x. Let j be ((-2)\/1)\/(x\/14). Sort 0, 4, j in descending order.\nAnswer: 4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 3, r: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1229, -1241, -1267, -1313, -1385, -1489, -1631?\n\"Answer: -n**3 - n**2 - 2*n - 1225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -14. Let t be ((-1)\/2)\/(v\/2). What is the units digit of 6\/(-3)*(-3 - t) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 1. Let i be d(-1). What is the units digit of 2*(i - 0) - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 2*a - 3. Let u be z(-2). Suppose 30 = -0*l + u*l. Solve -l = 4*i - 22 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/289976 and 25\/487982.\nAnswer: 130779176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55, 90, 111, 112, 87, 30?\n\"Answer: -k**3 - k**2 + 45*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 152*t - 14497 + 27721 for t.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-12) + 294\/72. Solve 3*n = -t*h - 12, 2*h + 3 + 3 = -3*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28620 and 55809.\nAnswer: 1116180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 u when four letters picked without replacement from {f: 6, u: 9, x: 4}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 9 + 2 + (0 - -2) + 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*((-2)\/2 + 3\/2). Let y be (-4)\/(-22) + 150\/22. Let l = -3 + y. Solve 4*w + 12 + l = f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -19*y + 1. List the prime factors of g(-2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1398 = -220*r - 84*r - 1034 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/14 + (-288)\/(-63). Solve 0 = -c*o + 4*o + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*9*3\/9. Suppose 5*d = -k*p + 279999965, 2*p = 5*d + 4*p - 279999970. Let u be (-10)\/25 - d\/10. Round u to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**5 - 238*c**3 - 561*c**2?\nAnswer: -60*c**2 - 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 6. Let a = 422 - 422. What is s(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-4) + 1\/4. Let z = 113\/15 + -37\/5. Put -1\/6, -0.3, k, z in descending order.\nAnswer: k, z, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-882)\/(-770) + (-7 - (-160)\/25). Factor t*r**2 - 10\/11*r - 4\/11.\nAnswer: 2*(r - 2)*(3*r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83215 and 1870?\nAnswer: 166430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**2*y - 2*h**2*z**3 + 16*h**2*z**2 + 223*h**2*z + 9*h*y*z**2 + h*y + h*z**3 - 222*y*z**3 + 9*y wrt h.\nAnswer: 6*y - 4*z**3 + 32*z**2 + 446*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 28*d**3 + 26*d**3 + 17*d**2 - 55*d**3 - 3. Is q(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 0*f. Let v = 35 + -35. Suppose -3*t = k - 21, v*t - k = 4*t - 27. Solve f*s - t*s + 20 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9 + -0.1. Let g be (-2)\/5*65\/(-13). Which is the closest to 0.1? (a) g (b) 2\/21 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(sqrt(343) + 1)*6 + (sqrt(343) + 5*(sqrt(343) + 0) - (sqrt(343) + (sqrt(343) - sqrt(343)*-1) + -3)).\nAnswer: 11 + 105*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*w = -t, 6 = 3*w. Let n be (t\/3)\/(2\/147). Let m = n + -25. Which is the second smallest value? (a) 4 (b) m (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185474482 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3178?\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + y - 1. Let a(q) = 11*q**3 + 3*q**2 + 4*q - 3. Suppose -18*f - 2*i - 9 = -15*f, 5*i = -2*f - 6. What is f*h(u) + a(u)?\nAnswer: 11*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 2 - (-3 - -2). Suppose -r + 3*z + 54 = -z, 4*r + 4*z - 196 = h. What is the highest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -41 - 11*d**2 + 6*d**2 + 41 + 9*d**2. Let v(r) = -7*r**2 - 3*r. Let t(k) = 14*k**2 + 5*k. Let n(j) = -6*t(j) - 10*v(j). Determine n(w(z)).\nAnswer: -224*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**3 - 2*s + 4. Calculate p(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 7*j = -4*v - 3*j - 32, 1354*j + 2 = 1353*j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 298044 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3 + 5. Suppose 3*v + 25 = -14*o + 10*o, 0 = -3*o + 2*v - 6. Sort o, b, -3 in decreasing order.\nAnswer: b, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11100 - (-3 - 36\/18)\/(5\/(-6)) a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60faac (base 16) to base 12\nAnswer: -2166038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2. Let t(r) = 10*r - 3. Let a(n) = -10*n + 4. Let q(h) = -3*a(h) - 4*t(h). Give q(p(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*w - 151*w + 2*v = 0, 0 = -5*v + 20. Sort -34, -3, 1, w in ascending order.\nAnswer: -34, -3, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1143219?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**3 - 50*y**2 + 10*y - 3 wrt y.\nAnswer: -6*y - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13001 (base 4) to base 14\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + i + 220 - 198 in the form k*i + n and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 903610 (base 12) to base 13\nAnswer: 608136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10369215, 10369226, 10369237?\n\"Answer: 11*f + 10369204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c*(c\/(c*c\/(c*c**(-2\/9))))\/c))\/c))\/c**(-4)*(c**(2\/5))**(-39))\/((c*c**(1\/3))**(9\/4)*c**0\/(c*c\/(c**(-3\/5)*c))) assuming c is positive.\nAnswer: c**(-110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efza when four letters picked without replacement from {a: 5, z: 1, f: 1, e: 3, k: 2}.\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/76 - -3*(-52)\/336.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5662786, -11325573, -16988360?\nAnswer: -22651147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/8 - 51451*z\/8 + 901005\/4.\nAnswer: -(z - 35)*(z + 51486)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -21. What is the remainder when 20 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3286345.\nAnswer: 5, 657269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -51*n**2 - 5. Let f(k) = -251*k**2 - 27. What is -6*f(j) + 33*g(j)?\nAnswer: -177*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 151 + 2*o**2 - 151. Let w(t) = 7424 - 4*t - 7424. Give l(w(m)).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 130 = -4*c + 146, 0 = x - 5*c + 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**2 - 185*c - 9. Calculate j(-37).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, g: 2, o: 1}. What is prob of sequence og?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -144*m**2. Let l(w) = -6*w**2 - 14*w + 7*w + 12*w - 5*w. Determine l(d(o)).\nAnswer: -124416*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 8)*1*5\/10. Let z(r) = 4*r**3 + r**2 - 5*r + 2. List the prime factors of z(l).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 b, and 1 s when three letters picked without replacement from {b: 6, s: 3, o: 1, j: 3}?\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(4)\/sqrt(2)))\/sqrt(4).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 77?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 0*n**4 - 1\/6*n**6 + 0*n**2 + 0*n**5 + 0 - 7\/6*n**3 - 8*n. What is the second derivative of k(w) wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.7 - -4.7. Let s = 0 - 0.4. Let n be 38\/((-18848)\/(-775))*4\/(-10). Which is the nearest to o? (a) s (b) -1\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**5 - 240*v**4 - 4734*v**3 - 20532*v**2 - 12909*v + 38412 = 0.\nAnswer: -11, -4, -3, 1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - x + 47. Let z be u(9). Let j = z - -58. Calculate the highest common divisor of j and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*g + 14. Suppose 15 = 5*s + c, -2*s + 5*s - g*c - 9 = 0. Let y be 10\/(-3) - (-4)\/(-6). Sort s, 4, y.\nAnswer: y, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 25 = 167*l - 19, -3*w = 2*l - 4*l + 18 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 5*a**4 - 2*a**4 + (6*a**4 + 0*a**4 - 2*a**4 + (a**3 - 3*a**3 + 4*a**3)*(7*a + 0*a - 2*a))*(2 - 2 - 2).\nAnswer: -26*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 117, -6, 0, 0.68, -136, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 9. Let h be m(11). Let v = h + 1. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*g*p**3 + 3*g*p**2 - 139*g*p - 23*g + 85*p**2 + 7*p - 4 wrt p?\nAnswer: -294*g*p + 6*g + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5 = -2. Let z = -213 + 267. Let g be (135\/z)\/((-26)\/(-8) - 2). Solve k - 5 = -f, f = -g*k + 6 - c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/497131 or -1?\nAnswer: 4\/497131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-8)\/2 + 3 + (-22960)\/(-7 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*s - 677 + 680 + 10*s + 11*s - 21*s**3 + 2*s**4 - 2*s**2 in the form w*s + x*s**4 + u + k*s**2 + y*s**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + (14 + -11 - 10) - 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16291 divided by 3.\nAnswer: 16291\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2448)*-2 + -1 - (sqrt(2448)*2 + 2 + 5*(sqrt(2448)*3 + sqrt(2448))))**2.\nAnswer: 2448*sqrt(17) + 2829897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47424 by 304.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -159.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0299766 decades to millennia.\nAnswer: 0.000299766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1\/16)*h*h)\/h)\/h)**(-12) assuming h is positive.\nAnswer: h**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -248911810 rounded to the nearest 100000?\nAnswer: -248900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -41. Let d(r) = -17*r - 8. Let f(o) = 6*o + 3. What is h*d(y) + 8*f(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 39 + -26 - (-27 + 8)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 1 + (-2 - -1) + -3. Suppose -4*i = -0*p + 3*p - 35, 2*p - h*i - 42 = 0. Suppose -24 - 14*c**2 + p*c + 18*c**2 + 3*c = 0. What is c?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*y + 22. Suppose 4*v + 2*q = 10, -y*v = -2*q + 7*q - 9. Suppose 4*c = -5*g + 33, -v*g + 9 = 2*c - g. Solve -b - c = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuguggguguuuuu?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.43506994 rounded to 3 decimal places?\nAnswer: 1.435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 3*q**2 + 6*q**2)*(-4*q - q + 12*q + (4 - q - 4)*(4 + 0 - 1)).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from dccdiijwwwicdoidwcj.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*w**5\/9 - 178*w**4 - 10916*w**3\/9 + 2800*w**2 - 6272*w\/9 = 0 for w.\nAnswer: -7, 0, 2\/7, 8\/5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-18)\/57)\/3)\/(9 + -8). Put 2\/3, 3, q, -3 in decreasing order.\nAnswer: 3, 2\/3, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (76\/16 + -4)\/((-14590)\/4864 - -3) a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*h - 2 + (-2 - 3 + 3)*(-27 + 27 + 3*h))*(0*h + h + h) in the form u*h**2 + s*h + i and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/19 (b) 0.5 (c) 4 (d) -5 (e) 0.024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*g + 3*g - 3*g + 2*g + (-1 + 1 - g)*(2 - 1 + 6) + 3*g - 6*g + 2*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3795 - -3802. Is 10\/11 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1110110101010 (base 2) in base 10?\nAnswer: -7594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-9) + (-62)\/6. Let q = 125.19 - 1.19. Let v = 126 - q. Is l != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.3, -17, -2\/3, 1 in decreasing order.\nAnswer: 1, 0.3, -2\/3, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4 + 2*(sqrt(704)*-1 + sqrt(704)))*-4)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -133131*r + 312043 wrt r.\nAnswer: -133131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170276 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/3 - 46*y**4 - 82*y**3 + 19130*y**2\/3 + 28600*y = 0.\nAnswer: -65, -11, -5, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.23942 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -709125, -709126, -709127, -709128, -709129, -709130?\nAnswer: -709131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - -161. List the prime factors of d.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*h - 2766 - 1981 = 25256 for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 1:54 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 3*o = 96. Suppose 2*q - 34 = 4*t, o = 2*q - t - 3. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 4*f + 3*j - 4*j, 2*f = -2*j + 50. Suppose -1 + f = 2*o. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140451 + 21?\nAnswer: -140430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2)\/v)**(-8)\/(((((v**(-1\/2)*v)\/v)\/v)\/v)\/v)**3 assuming v is positive.\nAnswer: v**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.021919 and -539?\nAnswer: -11.814341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4 = -s, -2*r + r = s - 4. Suppose r*n = -n. Let q(a) = -a**2 + 2. Determine q(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14c996 (base 14) to base 3\nAnswer: 1100220022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-36)\/99*(-2)\/8.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k + 31065 - 31347 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 340\/11 or 4682\/15?\nAnswer: 4682\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.102 - -75.898. Let o = -71 + w. Which is the closest to 0.2? (a) 2 (b) o (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 1. Let x be v(-3). Suppose -28 = 3*b - x*b. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 645153 - -16?\nAnswer: 645202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-420)\/900*3\/7*-2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1530, -1014, -498, 18, 534, 1050?\nAnswer: 1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4556 and 536?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128784650 and 115906185.\nAnswer: 1159061850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1729 + -43377?\nAnswer: -45106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7166 = 2*g + 5*k, -2*k = -2*g - 1436 + 8630. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4791 times -1\nAnswer: 4791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 9 - -23 - 22?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 7*j**2 + 6*j + 6. What is the remainder when x(-6) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.292 - 5.492. Which is the nearest to 2? (a) -4\/3 (b) 0.4 (c) f (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 2*y. Let h(o) = 423348*o + 1. Calculate h(a(u)).\nAnswer: 423348*u**2 - 846696*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**5\/12 + 85*t**2 + 1. Let i(k) be the third derivative of 7*k**5\/60 + 3*k**2. What is i(a(n))?\nAnswer: 175*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*m + b = -1, -4*b - 7 = -5*m. Let i(o) = 2*o**2 - 2*o - 2. What is i(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 65*x**4\/4 + 851*x**3\/4 + 1599*x**2\/2 + 657*x + 54 = 0. Calculate x.\nAnswer: -6, -1, -6\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4 + 571154*w**3\/3 - 13574170384*w**2\/3 - 288850357152*w + 96786192384 = 0. Calculate w.\nAnswer: -64, 1\/3, 47628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/40 and 31\/76?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1827942\/10 - -7) + 1\/(-5). Suppose q = -4*c - b, -3*b + 1 - 4 = 0. Round c to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 3:24 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v. Let i(x) be the first derivative of -4*x**2 + 2. Determine i(s(h)).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 874. What are the prime factors of g?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 0.04 (c) 6\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2163419*v**3 - 829547*v.\nAnswer: 12980514*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*4*((-343)\/(-28) + -12). Let n = 9 + -4. What is the closest to -2\/13 in k, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2314*o - 2540*o + 4948*o.\nAnswer: 94*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-25))\/(2\/(-265)). Let d = 132 + w. Find the third derivative of 1066*h + d*h**2 + 36*h**6 - 1066*h wrt h.\nAnswer: 4320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*a - 3*a. Let g = 12 - 11. Suppose z = -2*n + 9, 4*z = -2*n + n + g. Sort 0, a, z.\nAnswer: a, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -40. Suppose h*x - 8*x = 8. Suppose 6*v = x*v + 354. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 111 - 29 = 0. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18092, -2, 1 in descending order.\nAnswer: 18092, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + 6*p - 10*p to g*p + u and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6 - 1 - z - 2. Let g be y(6). Let v = -3 - g. Is v > -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(325))**2 + -5 + sqrt(325) + ((sqrt(325) + 1)*6)**2)*-3*4.\nAnswer: -144720 - 4140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-1) + -2 - (-30 - 1253). What is the highest common divisor of d and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, -58, -4, 1 in descending order.\nAnswer: 1, -1, -4, -9, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -28*d**3 - d**2. Let t be 2\/(-4) - 12\/24. Let v be f(t). Let w = 38 - v. Calculate the remainder when 32 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -846000 by 2.\nAnswer: -423000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 3*y + 8*y - 4*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffff. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, 14, 5057 in descending order.\nAnswer: 5057, 126, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1542.12 times -0.04?\nAnswer: 61.6848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7937*x - 8027*x = -2070 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r. Let t(g) = g - 3. Let k be t(5). Let c be (6\/4)\/(18\/24). Let q(j) = 4*j**c + 2*j - k*j. Determine q(p(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (45*13\/1560)\/(9\/(-740))*2\/(-5)\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -7. Let m(g) = -g**3 + 4*g**2 - 2*g. Let k be m(a). Let x(r) = -r**2 - 5*r + 1. Let c be x(-4). Solve -c*j = -f + 14, 0*f + k*f = -j + 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 27\/(-45)*6*-170*(-447)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 82 = 153. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118 + -115. Let g = 43 + 7. Suppose -t*x - 2*x + g = 0. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22cd6b - 3?\nAnswer: 22cd68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 28*z**2 + 68*z - 18. What is s(26)?\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/12*(3 - 0) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1654, -6767, -15288, -27217?\n\"Answer: -1704*u**2 - u + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 64268799087.92?\nAnswer: 64268799091.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34685768 to the power of 1\/2, to the nearest integer?\nAnswer: 5889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k + 17*k - 66*k + 23*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-19 + 22 + (-1537)\/525)\/((-8)\/6) and 67\/54.\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7289 - 2538. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 18*l + 29. Let z be c(16). Calculate the common denominator of 46\/9 and (-111)\/63 - (14\/z + 4).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 2:11 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6151 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 8*u**2 + 14*u - 6. Let r be o(6). Is 17 a factor of (47\/r - (-34)\/51)*22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1, 1.4, -2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.7 + -3. Suppose -245 = 7*g + 42*g. Sort -1\/6, g, s, -3 in ascending order.\nAnswer: g, -3, s, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4301, 1852, -2225, -7930?\nAnswer: -15263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1022, -4906, -12880, -26174, -46018, -73642, -110276?\n\"Answer: -205*s**3 - 815*s**2 - 4*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 12, 0*v + 2*m + 14 = 5*v. Let b = 45416\/9 + -226876\/45. Are v and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 278*j**4 + 54*j**4 - 181*j**4 + (-1 + 1 - j**2)*(-2*j**2 + 0*j + 0*j) - 4*j**4 - 10*j**3 + 10*j**3.\nAnswer: 149*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.10704km in nanometers?\nAnswer: 86107040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-38)\/6)\/((-6)\/(-36))*175\/(-50). Solve r*t - 124*t = -9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**2 + 1. Let h be u(3). Let t = 3297 + -3355. Let a = t - h. Solve -2*b + 8 = a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/5 (b) -22931 (c) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11*v - 1. Let j be k(-1). Let o(f) = -3*f + 16. Let m be o(j). Let g(z) = z**3 + 21*z**2 + 12*z - 11. Is g(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - -4)\/3 - 1. Suppose 0 = -i*s - 1 - 9. Is -40*((-10)\/(-4))\/s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {v: 1, n: 1, s: 2, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by (-10 + (-58)\/(-6))*399\/(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.549? (a) 2\/15 (b) -6 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*c + 28, 3*r - r + c = -12. Let f(n) = n + 9. Let x be f(r). Solve 5*m + 5 = -x*v - 0, 35 = -5*v + 5*m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 + 152. Suppose f*k = 6*k - 48. Calculate the smallest common multiple of k and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10\/63 + -8\/21. Let a = -30.6 - -46.3. Let r = -16 + a. What is the second biggest value in f, -1\/6, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 l, and 1 p when four letters picked without replacement from {l: 4, p: 1, w: 6, d: 3, c: 5, h: 1}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663280.\nAnswer: 2, 5, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 40*k + 64 = -3, -268 = 5*b - k for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) - sqrt(117)*-4)) + sqrt(117) + 5 - ((-2 + sqrt(117))*4)**2) + 3.\nAnswer: -1928 + 183*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-10) - 82\/(-5). Suppose 4*u - 88 = -4*f, f - n - 23 = 5*u. Calculate the greatest common divisor of f and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + 102111?\nAnswer: 102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 3109788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 14*f**3 + 45*f**2 - 52*f + 20.\nAnswer: (f - 10)*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n + n. Which is the nearest to -2\/7? (a) 3 (b) -1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (4875\/625)\/(2\/30) and 75?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10681 is divided by 2136.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i**(-32)*i))\/i)*i*(i\/(i*i*i*i\/(i*i**(-33))*i))\/i)\/(i**6*i**(5\/6)))**(-19) assuming i is positive.\nAnswer: i**(8303\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b**2 + 87 - 47 + 78 - 118.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549*b + 544*b + 7363430 = 5*m, -m + 2945363 = 2*b. Is b 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 2855444330?\nAnswer: 2, 5, 11969, 23857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 6*t + 2 + 2 + 0. Let f = 8 - 13. Let p be g(f). What is the highest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1316, 885, 198, -745, -1944?\nAnswer: -3399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**8\/1512 - 4*c**7\/315 - 79*c**6\/540 - 53*c**5\/135 + 5*c**4\/9 + 136*c**3\/27 + 642*c**2. Suppose v(t) = 0. Calculate t.\nAnswer: -2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 748 - 844. Let x be (-840)\/n + 6\/(-8). Solve -14*s - x = -12*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t + 121. What is the tens digit of w(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 30*v**2 + 33*v + 68. What is j(-31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 531.07855 rounded to one decimal place?\nAnswer: 531.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 106. Suppose -6*r + 11*r = l. Solve -r*w - 3*v = 11, -w + 2*v - 3 = 3*v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Let s be b(5). Let i(n) be the second derivative of n**3\/3 + 5*n**2\/2 - 15*n. Calculate i(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/45))\/(t*t*t**(-19)*t) assuming t is positive.\nAnswer: t**(764\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1113 (base 5) to base 15\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -13*m**3 + 6*m**2 + 16*m - 3. Let w(a) = 11*a**3 - 5*a**2 - 14*a + 2. Give 6*p(t) + 7*w(t).\nAnswer: -t**3 + t**2 - 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -54. Which is the smallest value? (a) 0 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 180 = -164 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 232414461, 232414460, 232414459, 232414458, 232414457?\n\"Answer: -c + 232414462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*x + 8, -3*r = 3*x + 2 - 14. Suppose -m + r*m + 171 = 0. What is the remainder when m is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2003\/3 + -4259\/6. Let f = 42 + p. Put -4, -1\/7, f in descending order.\nAnswer: -1\/7, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + 2*sqrt(60)*-4)\/(1*-2*sqrt(3)).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 554609 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365*n - 229 = -1324. Let i be ((-22)\/6)\/(1\/(-3)). Calculate the greatest common divisor of i and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 times -834?\nAnswer: -108.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2))**(-5\/4)*((u*u**(-1\/4)\/u)\/u)**(-33) assuming u is positive.\nAnswer: u**(335\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 89 + 36. Let l = 50 + -36. Let x = f - l. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5544238.\nAnswer: 2, 7, 19, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/25 (b) 0.2 (c) -1 (d) 10\/11 (e) -2 (f) 1\/11 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*g + 176, -g + m = 2*g - 133. What is the least common multiple of g and 0 + 10 - (-21 - -1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3765 + 20*r**2 + 37*r**2 + 3768 + 196*r**2 in the form k*r + y*r**2 + f and give y.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*r = 12, -13 = -j - 3*r - 2. Let m = -2 - j. Solve 16 = -m*z + 2*u, -u + 10 = -2*z - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -20. Let l = 10 - 10.4. What is the third biggest value in 2\/7, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -4*a + 14*a - 60 + 14, -2*g - 7 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 1, 0.4, -24.\nAnswer: -24, -0.7, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 281, 260, 253, 266, 305, 376, 485?\n\"Answer: n**3 + n**2 - 31*n + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (117\/26)\/((-4)\/(-8)). Solve 4*i + 7 = 4*b - q, -4*i - 2*b = -14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/7 + 7568*p + 88541136\/7.\nAnswer: 4*(p + 1962)*(p + 11282)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 638020?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 20*h + 104 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - -0.5. Let i be (2 - -2)\/(0 + 5). What is the third smallest value in g, -1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*b - 30, -40 - 5 = -5*b + 5*t. Solve -r - 5 + b = 3*h, 0 = 2*h + 2*r + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -110.5, 5 in ascending order.\nAnswer: -110.5, 5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -141\/20230 and -27\/3600940.\nAnswer: 3600940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**2 - 321*u + 4180. Calculate w(20).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2541905 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2395.7214us?\nAnswer: 0.00003992869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 21*b - 56. Let n(m) be the third derivative of m**4\/12 - 5*m**3\/6 - 2*m**2 + 2*m. Give 56*n(f) - 5*r(f).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 146310991 a multiple of 1861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 3 - (-27 - (8 + -35) - 30)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 0.045, -5 in ascending order.\nAnswer: -5, -1, 0.045, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbn. Give prob of picking 2 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2241 + -2250. Put -1\/2, d, 3, -3 in decreasing order.\nAnswer: 3, -1\/2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 20*p**2 - 18*p + 27. Calculate a(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 395646341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**2 + 0 + 0*f - 1\/8*f**4 + 1\/60*f**5 + 1\/2*f**3. Let d(z) = z**3 - 2*z**2 - z + 4. Let m be d(2). Calculate x(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -9\/13, -2, 8 in decreasing order.\nAnswer: 8, 5, 4, -9\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -75. Suppose h*z + 3*b = 22, -2*z - 5*b + 9 + 21 = 0. Suppose 5*d = -5*j + 1170, 4*d - 938 = -z*j + 3*j. Is d a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, a: 1, e: 1, q: 1, t: 1}. Give prob of sequence eatz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1662 - (7 - (-84)\/(-12))?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -164.8 - 44. Round i to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*d - 10*d - 852 = -78*d. Solve 3*f - 15 = -4*o, -10 = -2*o + d*f - 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tht when three letters picked without replacement from vstnvtvthttjssnntvj.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 - 2298*k - 25384. Give r(-11).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6363623.\nAnswer: 7, 909089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 14*h**2 + 24*h + 1. Let u be g(-12). What is the second biggest value in 205, u, 2\/7, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1732 and 708.\nAnswer: 306564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/7 + 18328143*d**2\/7 - 73312560*d\/7 + 73312556\/7.\nAnswer: -(d - 18328139)*(d - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1000304 - 313?\nAnswer: -1001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/2)\/((18\/(-3))\/(-3)). Suppose 18*x - 17*x - 573 = g. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, -5, -2263 in increasing order.\nAnswer: -2263, -103, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5417 is divided by 605.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 92, 5, 8, 40, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - -1)*(-3)\/(-6). Suppose -15 = 5*o + 180. Let q = -23 - o. Solve -4*d - v*z = -5, 3*z - q = 4*d - 9*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + z - 34. Is 33 a factor of d(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360.5 rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 13 + -4 + -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/241590 and 133\/43776108.\nAnswer: 218880540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 - -33 - -15 - -13.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-6)*291\/3395?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-24)\/(-15))*2\/(-10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.25 + -0.25. What is o rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8406074 litres to millilitres.\nAnswer: 840.6074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c0712 (base 15) in base 8?\nAnswer: -5160623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101212232 (base 4) to base 2.\nAnswer: -10001100110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50842 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j**2 - 10*j + 7. Suppose 0 = -2*g - 2*k + 1 - 3, 2*k = -8. Calculate the remainder when 197 is divided by t(g).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 6*s - 8. Determine j(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2321 - -5?\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-2 - -8) - -50 - 8) + -2 + -8?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, 2\/29, 21, 47?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + 7. Let i = w - 20.000009. What is i rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**2 - 6 - 5 + 7*g + g**3 + 10. Let x be f(6). Factor -3*h - 3*h + h + x*h**2.\nAnswer: 5*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o - 14 = 18*o. Suppose p = 3*j - 32, -j = o*j - 5*p - 16. Calculate the greatest common factor of 30 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one fifths of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13132, 26261, 39390, 52519?\nAnswer: 65648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150387 by 11.\nAnswer: -150387\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**8\/16 + 13*y**5\/60 + 5*y**2. Find the third derivative of b(u) wrt u.\nAnswer: -1260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k + 20. Let h be a(-12). Suppose i + h = 62. What is the greatest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7055*d**2 - 2*d + 5. Let q be w(5). Let b = 105370 - q. Round b to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/18 + 5\/(45\/2). Which is the closest to j? (a) -0.4 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.17 + -0.91. Let g = r + -1.273. Let m = 0.012856 + g. What is m rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**5\/30 + m**3\/3 - 3*m**2. What is y(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2310 and 87\/1760.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 556 (b) 4 (c) -2 (d) 19 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h. Let j(y) be the first derivative of -7*y**3\/3 - 2*y**2 + 324. Determine g(j(s)).\nAnswer: -63*s**2 - 36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 - 4*j + 2 + 99*j**3 - 57*j**3 - 38*j**3. Give g(3).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 13108*i.\nAnswer: -2*i*(i - 6554)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**3*(l**(-1))**(2\/27))\/((l**(-1\/5)\/l*l*(l*l*(l\/(l*l*(l*l**(1\/5))\/l*l))\/l*l*l)\/l)\/(l**(-2\/13)*l**(-1))) assuming l is positive.\nAnswer: l**(3812\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253847*u*w**3 + 9*u*w**2 + 15*u*w - 518*u - 2*w - 6 wrt w?\nAnswer: -1523082*u*w + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(605) - sqrt(5)) + 0 + (sqrt(45) + 0)**2*-5 + sqrt(1620) + -1*sqrt(1620) + 5.\nAnswer: -223 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-6))\/q**(-17) assuming q is positive.\nAnswer: q**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - v - 3*v)*(-2*v - 5*v + 4*v) + (-1 + 3 - 1)*(0*v - 8*v**2 + 0*v).\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*c**2 + 21 - 21 + 29*c**2 + 37*c**2 - 15*c**2 - c + c - c**2 + (0*c - 4*c + 3*c)*(c + c + 0*c).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -356*v - 96840. Determine t(-272).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(4 - (4 + 1)). Sort 3, t, 6 in ascending order.\nAnswer: t, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -202\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/72 - (-6061044)\/(-80784).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 4*z + 18 = 0, -20 = -2*b - 3*z - 9 - 21 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, y: 2, z: 4, j: 2, f: 2, a: 4}. Give prob of picking 1 j, 2 a, and 1 c.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/7933530 and 41\/2404100.\nAnswer: 79335300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 277753549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/30 + (-1333)\/(-310). Which is the second smallest value? (a) d (b) -0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321952 - -0.19\nAnswer: 321952.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553 + 129 = 10*p - 168, -8 + 158 = 2*z + 2*p - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1250))\/sqrt(10) - (-3 + sqrt(10)\/sqrt(2) + 2)**2.\nAnswer: -6 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lli when three letters picked without replacement from eeqlileeqleleliellie?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11813\/7 - -1687. What is the second smallest value in l, -3, -6\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*h**3 - 5 + 5*h + 199*h**3 - 40.\nAnswer: -2*h**3 + 5*h - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**3 - i**2. Let a be v(-1). Suppose -21 = -a*o - 3*h, 9 - 29 = -5*h. Let j(d) = -o + 3 + 0*d + d. Let l(f) = 2*f. Give j(l(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -6 + 9\/3. Suppose -3*d + z = -5. Suppose n - 333 = -d*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13493*c**3*m**2*o + 4*c**2*m**2 - 61*c*m**2*o - 2*c*o wrt c.\nAnswer: -80958*m**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16893717 or -16893716?\nAnswer: -16893717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27700 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((2\/12)\/(3\/9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 5)*(65 - 13 - 25*u + 30*u)*(-6*u**3 + 3*u**2 - 3*u**2)*(-u + 1 - 1).\nAnswer: -60*u**5 - 624*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.8 and 0.09.\nAnswer: -0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 170474646521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78848 and 546304.\nAnswer: 7648256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 3\/10 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**8\/20160 + n**7\/1008 - n**6\/72 + n**5\/60 - n**2. Let r(a) be the third derivative of w(a). Give r(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 12, -3*v + p = 224 - 29. Suppose 5*n = 24 - 4, 0 = 4*y + n - 672. Let r = y + v. What are the prime factors of r?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74579 and 115239.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*x - 1, x - 4*x = -3*s - 3. Suppose 2*h - 4 = x, -4*j + 2*h - 6*h = -84. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppddpp. What is prob of sequence ppp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-1)*(-1)\/(16590 + -8). Let w = -16084\/2064459 + c. Is w > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 185\/132 - 20\/11. Let p(z) = 3*z - 37. Let b be p(13). Let q be 0 + 3 + (-1 - (b - 0)). Which is bigger: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = 2. Let x be (-2 + 4)*(2 - 1). Suppose d + 3*d = 3*l + 24, 0 = -r*d - x*l + 4. Solve d*o - 15 = -0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020121021012 + 201?\nAnswer: 10020121021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 - -78. Let l = -5\/1776 - -162223\/5328. Let t = l - q. Sort t, -1, 5 in decreasing order.\nAnswer: 5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 7*j + 11*j + 56 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, b: 1, o: 7, d: 1, y: 8}. Give prob of sequence byyw.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17848*d - 918 = -18001*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 0 + 2 + 1. Let n = -6 + 10. Suppose -4 = -n*f + 2*w, 5 = 2*f + 3*f + 4*w. Solve f + h = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 3*x + 7, 13*f - x = 18*f + 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*q - 28*q - 198*q - 98 + 98.\nAnswer: -166*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 12. Let k be b(-8). Suppose -n - 2 = -k. Suppose 5*f = 3*f - n*c + 24, 0 = -f + 3*c. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.36? (a) -5 (b) 63 (c) -1 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/7 + -2 + (-8810)\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 661, 673, 685, 697, 709?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine halves of a micrometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x*x*x**(-18)*x)\/x)*x*x\/(x\/(x**(-3\/2)*x)) assuming x is positive.\nAnswer: x**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**3 + 4*a**2 + 3. Let c(i) = -i**3 - i**2 - 1. Let u(h) = -3*c(h) - k(h). Give u(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*m*u**2 - 1100864*m + 44067*u**2 - 3 wrt u?\nAnswer: 30*m*u + 88134*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 + 77*a - 128. Give s(-24).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1503*r - 72244. What is d(48)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206028 and 1180.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -203*v + 201*v + 2, 5*c + 106 = -29*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-28)*(-6)\/(-3)*2. Let u be (-13 + -2)*20\/(-42). Factor 0*d - u*d**4 - 2\/7*d**2 + 0 + x*d**3.\nAnswer: -2*d**2*(5*d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -9. Let y be (-5 + i)*(-2)\/(-4). Solve -4*z - 5*r = 21, -3*z + r - y - 5 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odde when four letters picked without replacement from kkooekeoootddofokkod.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 3.1. Let j = 1 - -4. Let u = y - j. Which is greater: -2\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*f - 276*f - 9183854 = -191*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65960 is divided by 21932.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 66.3562, 0.1, 0.3, 26 in decreasing order.\nAnswer: 66.3562, 26, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168559206 and 23952.\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12434611 (base 7) in base 4?\nAnswer: 10111011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2. Let p(g) = -287*g + 820. Let w(c) = -c + 5. Let v(y) = -p(y) + 164*w(y). What is s(v(q))?\nAnswer: -15129*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.724372 millilitres?\nAnswer: 0.006724372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 37?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*t**3 - 1659*t**3 - 493*t**3 - 425*t**3.\nAnswer: -2904*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 3*x + 4. Let t(r) = r**2 - 3*r + 3. Calculate -3*g(y) + 4*t(y).\nAnswer: -2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 505414026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22765217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 14 - 4*g - g**2 - 14. Let s(f) = f. Determine q(p) + 3*s(p).\nAnswer: -p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.145 and -82.\nAnswer: -11.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9541028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21201010020 (base 3) in base 8?\nAnswer: 450247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1692 or 1697?\nAnswer: 1692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 369565*i**2 + 1201047*i + 277164.\nAnswer: (i + 3)*(i + 92388)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 207921627 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 {t: 2, p: 2, s: 3, o: 4, m: 6}. What is prob of picking 2 s, 1 p, and 1 t?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51487578 and 6666?\nAnswer: 566363358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n + 1. Let v be (-2)\/(-3)*(2 + (9 - 5)). Suppose -99 = -u + v*t, 353 = 6*u - 3*u + 2*t. Calculate the remainder when u is divided by g(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -58*z**2 - 11*z + 1. Let w(i) = i. Let a(j) = k(j) + w(j). Let c be a(4). Let v = -537 - c. Round v to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1509*s + 42403. Calculate q(-28).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -14*y - 87. Let b = 28 + -18. Calculate the remainder when m(-9) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23397, -23389, -23379, -23367, -23353, -23337, -23319?\n\"Answer: v**2 + 5*v - 23403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18722 and 2277.\nAnswer: 168498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, y: 7, b: 5, t: 1, c: 3}. Give prob of picking 2 y and 1 b.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1007.8 + 1008. Which is the nearest to -17? (a) -5\/4 (b) -0.2 (c) -23 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 2*b - 2*b. Let q(g) be the second derivative of g**5\/30 - g**3\/3 - 2*g. Let i(v) be the second derivative of q(v). Calculate i(m(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 1, 0, -8 in descending order.\nAnswer: 1, 0, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k = 16 + 49. Suppose -v + 76 = k*h, 4*h = h - 6. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - x + 5. Let w be y(0). Suppose 2*t + t + w*m = 52, -3*m = -6. Solve 3*h = -4*d + 24, -3*h + 13 = 5*d - t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(0 + -2) - -5. Suppose -k*z = -2*z - 3. Let h(s) = -2*s**3 + 3*s + 3*s**3 + 1 + s - 3 - 4*s**2. Determine h(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/468 and -3\/241696?\nAnswer: 2175264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 34*z + 146 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2\/8 + 7013547*n\/8 - 7013539 = 0.\nAnswer: 8, 7013539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 1896735.\nAnswer: 379347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 30 = -0*u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*s = 83*s - 162 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 10*s**5\/7 - 42*s**4 + 2616*s**3\/7 - 4840*s**2\/7 - 18624*s\/7 + 1152 = 0?\nAnswer: -2, 2\/5, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 125*w**4 - 1150*w**3 - 8555*w**2 + 59020*w - 81120 = 0. Calculate w.\nAnswer: -8, 13\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 4. Let a be q(-4). Solve f + 3*f + a = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108883 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + -5 + -2 + -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -6*v**2 + 402*v - 104. Let y be w(33). Solve 0*j + j = -3*s - 9, 2*j = -3*s - y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -261?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -875\/4 + 219. What is the nearest to y in -1\/4, -29, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 19 = 4. Put w, 4, -3 in decreasing order.\nAnswer: 4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/9 + 32*q**3\/9 + 58*q**2\/3 + 40*q + 24.\nAnswer: 2*(q + 1)*(q + 3)*(q + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 a when four letters picked without replacement from {j: 4, a: 5, m: 3}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 149*l - 774 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**3*q**2 + 218*p**3*q - p**3 + 429*p**2*q**2 - 2494*p*q**2 - 4*q**2 - 12453*q wrt q.\nAnswer: 2*p**3 + 858*p**2 - 4988*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18034286597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 1:03 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 144*g**3 + 30*g - 163. Is j(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4679610 to the nearest 10000.\nAnswer: -4680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357935.1 millennia to centuries.\nAnswer: 3579351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 64*r - 1. Let d(n) = n - 10. Let z be d(11). What is the units digit of v(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 10*o + 20. Calculate t(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 24*o - 24. Let s be d(7). Let l = 29 - 11. Calculate the greatest common factor of s and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366 is divided by 917.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 4*r - 1312, 5*c + 7*r - 2200 = 3*r. Let o = c - 444. Factor -27\/2*z**3 - 15\/2*z**5 + o + 3*z**2 + 0*z + 18*z**4.\nAnswer: -3*z**2*(z - 1)**2*(5*z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1680, 1674, 1648, 1590, 1488, 1330, 1104, 798?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 202 and 31613.\nAnswer: 63226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - 42 + 42)*(-3*d - 3*d + 3*d)*(-2*d**2 + 3*d**2 + d**2)*(-31*d - 41*d - 11*d).\nAnswer: -2490*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/3, 8.199, 2\/35 in increasing order.\nAnswer: 2\/35, 16\/3, 8.199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*p + 1)*(-3*p + 3*p - 2*p) + 2*p**2 - 2*p**2 - 6*p**2 + 3*p**2 + 4 - 4.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 49*n + 115. Let j be v(-22). Which is the nearest to 0.1? (a) -18 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5422, -5726, -6200, -6838, -7634, -8582, -9676?\nAnswer: -10910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 795.4679ng in tonnes?\nAnswer: 0.0000000000007954679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3*p**2 + 1638*l**3*p + 8652*p**2 - 9*p wrt p.\nAnswer: 2*l**3 + 17304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 2\/11279, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 4. Suppose 15*i = 13*i - 8. Let k be (-51)\/(-108) + i\/18. Which is the second smallest value? (a) x (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*i - 771*i + 20882 = 11407 - 49952 for i.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 13*s**2 + 45*s + 41. Give w(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13013 divided by -1?\nAnswer: 13013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119 - 182. Let f = a - -53. Let t be (f + 0)*(-4)\/(-24)*-3. Solve -u - t = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -22\/3*i**2 + 20\/3 + 2*i**3 - 2*i + 2\/3*i**4 = 0. What is i?\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 805384 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -256, -93, 418, 1391, 2940, 5179?\nAnswer: 8222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f. Let w(h) = -922*h**2. Determine w(j(m)).\nAnswer: -922*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*b = -83, d + 4*b - 2212 = -2331 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4453*y**2 - 19849?\nAnswer: -8906*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.1 (b) 48307 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -200 or -184?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3003 + 967. List the prime factors of (7\/28*-1)\/(1\/k).\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f**2 + 70*f**2 - 42*f**2 + 17*f**3.\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5802 is divided by 363.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(13) - sqrt(26)\/sqrt(2)) + -5*sqrt(13)*-2 - (3*sqrt(78)*4 + sqrt(78))\/sqrt(6))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 13 = m, 3*w - 11 - 13 = -2*m. Calculate the smallest common multiple of 224 and m.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**6\/30 - 371*k**5\/10 - k**4\/6 + k**3\/6 + 1767*k**2\/2 + 2154*k + 1. What is the third derivative of z(w) wrt w?\nAnswer: -24*w - 4452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2350 divided by -10?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12620, 12532, 12446, 12362, 12280?\n\"Answer: k**2 - 91*k + 12710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, c: 2, s: 3, f: 7, a: 4}. Give prob of sequence fn.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32940)\/(-900)*(6\/(-63) - 296\/(-168)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 6, -7685, -3\/5 in ascending order.\nAnswer: -7685, -3\/5, 0.6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, -4, 16 in descending order.\nAnswer: 16, -4, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 1, y: 3}. What is prob of picking 1 t and 1 y?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*t = 9, 2*z - 16 = -20*t + 24*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 104 = -307. Suppose 28*s - 29*s = -i. Is 27 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 8*c + 3 = 9*c, c = -9*o - 11. Let s = -2 + 21. Which is bigger: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13661.\nAnswer: 19, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116*a**3*t**2 + 3*a**3*t + a**2*t**2 + 772*a**2*t + 49*a*t**2 + 26*t**2 - 151 wrt t.\nAnswer: -232*a**3 + 2*a**2 + 98*a + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*(-5 + (-1)\/(18\/11202))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 5*g + g)*(-1 + 7*g**2 + 1) + 3*g**3 - g**3 - 4*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 305\/1738 - -1\/158. Let b = 1.2 + -1. What is the smallest value in x, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (85\/34)\/(-1 + (-6)\/(-4)). Solve 6*f - 2*f - 3*s - 7 = 0, 1 = 4*f - z*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t**2 + 34*t**2 - 33*t**2. Let v(c) = 2*c - 260. What is v(k(s))?\nAnswer: -12*s**2 - 260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1473 divided by -2.\nAnswer: 1473\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:34 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-190000)\/(-399))\/50*(15\/20)\/(-1).\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22716 divided by 325?\nAnswer: 22716\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7682320 and 127526512?\nAnswer: 637632560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129070176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*b + 1 = -1, 24 = 4*m + 4*b. Calculate the remainder when 30 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 10 + -22 + 8 - 6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -3064 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 21*f**2 - 153*f + 189. Let t(s) be the third derivative of s**5\/20 - 11*s**4\/12 + 9*s**3\/2 + 2*s**2. Let c(p) = -4*n(p) + 27*t(p). Factor c(d).\nAnswer: -3*(d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -3, 2\/3 in descending order.\nAnswer: 2\/3, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 - 6*m**4 + 0*m**4 + (-3 + 2 + 3)*(5*m**2 - 5*m**2 - 2*m**4) - 5*m**4 - 5*m**4 - 9*m**4.\nAnswer: -31*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -965464 divided by 34?\nAnswer: -28396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**5\/80 + h**3\/24 - 6*h - 14. Let n(o) be the first derivative of r(o). Factor n(a).\nAnswer: -a*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*b + b + 20 = 0, -2*z = -3*b - 28. Let l = z - 3. Calculate the remainder when 18 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**4 + 3*b**4 + 4*b**4)*(-b + 3*b - 5*b + (2 + 3 - 6)*(3*b + 0*b - 2*b)) + (-b**4 + 5*b**4 - 2*b**4)*(2*b - 4*b + 3*b).\nAnswer: -14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)\/x)**(-14)\/(x**(-3\/10)\/((((x*x**(1\/2)*x)\/x*x)\/x)\/x*x)) assuming x is positive.\nAnswer: x**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, y: 3}. Give prob of sequence jyj.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*57.\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-858)\/(-10010) + (-2721)\/(-105).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 10*p = -b + 227, 4*b - 908 = 5*p. Is 40 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 239, 240?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 65, 77, 103, 149, 221, 325, 467?\n\"Answer: s**3 + s**2 + 2*s + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(4*(sqrt(50) - sqrt(50)*-4))\/((sqrt(10) + sqrt(40)\/sqrt(4))*-3).\nAnswer: -20*sqrt(5)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g - 13. Let d be b(8). Suppose 3*c + d = 4*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3908 - -4068.12. Let q = g - -623.78. Round q to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/130)\/(8\/14*(-112)\/(-160))*-39\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3948, 8710, 13472, 18234, 22996?\nAnswer: 27758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*v = 4. What are the prime factors of (3 - 0 - v) + (-1 - -97)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324675 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = -b - 4*g, -4*b = 2*g - 24. Solve b*t + 12 = -6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 7:35 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6*n = -4*g - 7, -8 = 2*n + 3*g. Let o be (-1 - -6) + -2 + n + 2. Solve o*x - 3 - 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 275*a**4 - 4*a**2 - 277*a**4 + 6*a**2 - 7*a - 9*a**3 in the form p + i*a**2 + t*a**3 + d*a**4 + g*a and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 a factor of 13075696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - -9. Let k be (-10*15\/o)\/(3\/(-6)). What is the second derivative of k - 23 + 8 - 13*l**2 - 25*l wrt l?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*v + (-1 + 1 + v)*(-2 + 0 + 0))*(-9*v**2 - v**2 - 4*v**2).\nAnswer: 70*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 240 + -247. Let a(t) = t**3 + 7*t**2 - 2*t - 4. Calculate the remainder when a(h) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 8*k**2 + 17*k - 10.\nAnswer: (k - 5)*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(60\/(-744))*((-45)\/(-63))\/(3\/21)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 569259 and 342?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.488 + -0.088. Which is smaller: n or -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.4, 0, 91, 3\/11 in decreasing order.\nAnswer: 91, 0.4, 3\/11, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 831.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38865.\nAnswer: 3, 5, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11514 divided by -6?\nAnswer: -1919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88 (base 9) to base 13.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 132 = -4*r, 0 = 5*h - r - 0*r + 660. Calculate the common denominator of 266\/h + 3\/9 and -91\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02761960822 minus 55.46?\nAnswer: -55.48761960822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*d**3 + 102*d**3 + 118*d**3 + 112*d**3 - 557*d**3 + 113*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57700 - 87144 + 144844 - 2*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3823*w + 6453*w - 3602*w)*(0*w**3 - 2*w**3 + 5*w**3).\nAnswer: -2916*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 - 1. Let f = i - 0.1. Let x be (-7)\/21*9\/(-6). Which is the closest to f? (a) -2 (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152 or -305\/2?\nAnswer: -305\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7058.42mm in kilometers?\nAnswer: 0.00705842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 + (10 - 16 - 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*c**2\/5 - 2516*c - 1446096\/5 = 0. What is c?\nAnswer: -3846\/13, -188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 9*n**5\/5 + 19*n**2\/2 - 16. Find the second derivative of k(c) wrt c.\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/((-328)\/(-164)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 x, and 1 i when four letters picked without replacement from mmixxmxxmimxxxui?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**3 - 249*h**2 - 473*h + 1139. Determine b(-81).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2\/4 + 263*c\/4 + 53\/2 = 0. What is c?\nAnswer: -2\/5, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 7:47 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 4*g + 10. Let v be c(0). Which is smaller: 9 or v?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -10, 5*w = w - 2*l - 22. Let u(r) = -2*r - 22. Let v be u(w). Let t = 1 - v. Calculate the greatest common factor of 42 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.19096 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 697 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -134, -154, -194, -260, -358, -494, -674?\n\"Answer: -n**3 - 4*n**2 - n - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:22 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -1\/4 (b) 2\/23 (c) 41 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**4\/12 - 2*o. Let f(j) = 302*j - 5 + 9 + 24 - 31 + 3. Calculate f(r(t)).\nAnswer: 302*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52192821 <= 52192823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15189.993 + -15190. Which is the biggest value? (a) -4\/5 (b) w (c) -0.2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/72 and 71\/120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 164 (b) -2\/265 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 1:20 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119 - 119.0235. Round n to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1874, 3788, 5690, 7574, 9434, 11264?\nAnswer: 13058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, s: 1, g: 1, o: 1, c: 1, l: 1}. Give prob of sequence sgl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 951 times 122583\nAnswer: 116576433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s + 1 - 13*s - 55*s. Is c(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-11 - -13) - (-1 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/14 and -83\/156733060?\nAnswer: 1097131420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/(-8))\/(-5))\/(40\/(-60)).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -2925*x**3\/2 - 45*x**2\/2 - 27*x. Let y be n(-7). Let s = -132280 + y. Round s to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*w**4 + 149386123 + 4*w**2 + 2*w - 149386125 - 5*w**2 - 2*w**3 to t*w + s + g*w**4 + x*w**3 + r*w**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-10))\/((-3)\/3795). Suppose 201 = -5*f + q. Is 60 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.924 - -4.39. Let q = a - 24.466. Is q bigger than 0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*d + 169, 2*d - 3*r - 309 + 120 = 0. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/17 (b) -1\/10 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 16, -1.7, -16\/3 in decreasing order.\nAnswer: 16, 7, -1.7, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 g, and 1 v when four letters picked without replacement from gviagiiavgig?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*n - 4 + 4)*(-4 + 6 - 3) - 1 + n + 1)*(4*n - 3*n - 3*n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 + 10*b - 12*b - b**3 + 2*b**3 + 2. Suppose 2*y = -3*y - 15. What are the prime factors of p(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3749668 by -3749668.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -1037.3 + 1037. Which is the third biggest value? (a) 3 (b) q (c) -27 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 5*x + 4*v, 2*v = 5*x - 11 + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 415*c + 346. What are the prime factors of b(18)?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2460 - -2456. Put g, 0.2, 1854 in descending order.\nAnswer: 1854, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**6\/120 - 7*b**5\/60 + b**4\/24 - b**3\/3 + b**2. Let l be h(7). Let w(f) = 3*f**2 + f**2 - 6*f - 3*f**2 + 7. Determine w(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/16 and 47\/79528.\nAnswer: 159056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from unuezeeguzve?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28755908*d*s - d - 12990507*s wrt d.\nAnswer: 28755908*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269926, 539838, 809748, 1079656?\nAnswer: 1349562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -232460.99125 - -232583. Let b = k - 122. What is b rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215049529?\nAnswer: 29, 7415501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 62297.63 hours?\nAnswer: 224271468000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 664 and 747.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s - 2 + s**2 + 5 + 0*s - 9. Let d be 8 - (1 + (1 - 0)). Let v be a(d). Is -5\/4 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.1, 0.3, 0 in increasing order.\nAnswer: -9.1, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -798874.4 to the nearest 1000.\nAnswer: -799000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**2 - 3. Let u = 68 - 63. Let i(t) = 9*t**2 - 5. Let z(d) = u*k(d) - 3*i(d). Let a(v) = 3*v**2. What is a(z(q))?\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d + 4. Let h(g) = -7*g + 3. Determine 5*h(x) - 4*j(x).\nAnswer: -7*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 2375. Let b be j(0). Is 2375 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/15 - 26*l**2\/3 + 2774*l\/15 - 6498\/5.\nAnswer: 2*(l - 27)*(l - 19)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:52 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/8481 + -25493\/42405. Which is the nearest to 0.1? (a) 3 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54018985231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 138?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*y - 2*y. Suppose 2 - 40 = -y*m. Let w(a) = -3*a + 1. Calculate the remainder when m is divided by w(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9007, 18007, 27001, 35989, 44971, 53947?\nAnswer: 62917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 - (-31 + 38).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*g**4 + 28\/5*g**2 - 29\/5 + 6*g**3 - 6*g.\nAnswer: (g - 1)*(g + 1)**2*(g + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 9*d - 3. Let f be o(7). Suppose -f = -4*z + 9. Suppose -g + 395 - 393 = 0. Solve -z*n + 2*n = g*x - 4, -3*x + 6 = -n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542 = -8*d - 502. Let l(y) be the first derivative of 5\/2*y**4 - 3*y**d - 7 + 35\/3*y**3 + 5*y**2 + 0*y. Let l(m) = 0. What is m?\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -727 + r**5 + 2*r**5 - 4560*r**2 + 7728*r + 25*r**4 - 127*r**4 - 104*r**3 - 3977 + 1232*r**3 = 0.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1698 + 5095\/3. Which is the fourth smallest value? (a) -2 (b) 19 (c) 4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 27. Let z(c) = 19*c**2 - 18*c + 13. Let a(h) = 9*h**2 - 9*h + 6. Let n(b) = f*a(b) + 6*z(b). Factor n(p).\nAnswer: -3*p*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 646 - 1594. Is h a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srsssrssrrrss. Give prob of sequence sr.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2125 - 2?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/55 and (-206)\/1080*2*3.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 53 - 2657. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15617 - -15826. Let y = -51 + 71. What is the remainder when q is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jve when three letters picked without replacement from vttvvvvtvjvtvvtet?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7802035 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*z**2 + 54*z.\nAnswer: z*(z + 108)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - x + x + 0*x + 2*x**4 + 0*x + (-80 + 7*x + 80)*(2*x**3 - 2 + 2).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - c - 2*c + 1496 = 0, -5*c - 1093 = 3*p. Let q = p + 628. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, 350, 1172, 2290, 3698, 5390?\nAnswer: 7360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*g - 79*g - 9*g**2)*(69 - 69 - 39*g).\nAnswer: 351*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*z + 41 = 5*m, z - 3 = 0. Suppose 0 = m*b - 11*b - 25. Find the second derivative of 12*s - b*s**5 - 3*s**5 + 15*s - 20*s wrt s.\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41362 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 + 2*v - 2. Let k be u(2). Suppose k = o + o. Suppose -34 = -14*p + 22. What is the lowest common multiple of o and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-17))\/(x**(-23\/3)\/x)*(x**(-1\/11))**(35\/3) assuming x is positive.\nAnswer: x**(878\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/6)\/((-1)\/3). Let n = 9 + -4. Suppose 0*c + n = -c. Sort u, 4, c.\nAnswer: c, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -75 + (-3 - (-16)\/(-4)). Let u = a + 84. Solve -u*q - 5 = -11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10522744343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 8*z + 3. Determine s(-12).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24136*h*y**2 - 89122*y**2 wrt h?\nAnswer: 24136*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -12. Suppose s = b - 4. Suppose -s*q = q - 6. Solve q*m - 2*p = p - 10, -5 = -m - p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4115 is divided by 44?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8933*a**5 - 9298*a**3 - 6674791*a**2 - 2*a - 4 wrt a.\nAnswer: 535980*a**2 - 55788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2526.2 + -2526.232968. What is m rounded to 3 dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 126*q**2 + 9578*q + 168. Determine p(-76).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*b - 38*b = -1169 - 1955 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 929\/819 - -1\/117. Let x = z - 23\/14. What is the third smallest value in x, -3, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*n + 1542 = 3*z, -4*z - 2*n + 3044 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + -5 + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 660951?\nAnswer: 660951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*t = -39 + 231, 312 = 5*j - 3*t. Suppose -11*o + j - 16 = 0. What is the remainder when 25 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239 = 5*h - 51*f, 0 = 3*h + f + 308 - 291 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84276883\/504 + -1538780\/9. Let i = d + 3760. Find the common denominator of i and 37\/11.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2213851, -2213841, -2213831, -2213821, -2213811?\n\"Answer: 10*w - 2213861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - 43. Suppose -g = -4*t - 2. Let x be 11\/(-14) + (-28)\/(-2450)*25. What is the nearest to t in 1\/5, x, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from zwiqqizeiqeeiwzzzi.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-4)\/(1560\/1937) - -5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-45))\/(((-39)\/390)\/(3\/(-204)) - 4)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 11 (b) -0.06 (c) -21 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - c - 10. Let u(o) = -6*o - 27. Let n be u(-5). Suppose 2*q + 3 = -3*i + 16, n*q - 12 = -3*i. What is the remainder when 18 is divided by w(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in 0.1, -7, 0.05, 7, -3, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by (72\/(-56) + 4)*(5 + 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153616, -153615, -153614, -153613?\nAnswer: -153612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2)*n*n)\/n)**(-32)\/(n*n**(1\/8)*n\/(n\/(n*n**(-3)))*n*n) assuming n is positive.\nAnswer: n**(-137\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 384? (a) 1\/28 (b) 3.15 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - c**3 + 2*c**3 + (9 - 5 + 3)*(-2 + 2 - c**3) + 2*c**3 - 3*c**3 + 3*c**3 + (5*c + c - 4*c)*(3*c**2 - 3 + 3) - 2*c**3 + 3*c**3 - 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 divided by 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 - 10*l**4 - l**3 - 19*l**4 + 2*l**2 + 31*l**4 - 2 in the form g*l**2 + n*l**3 + w + q*l**4 + j*l and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5383 is divided by 4179?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -429438618 and -4.\nAnswer: 1717754472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343113179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101.254 - -0.254. Let r = s - -100. What is the closest to 3\/4 in r, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264981 is divided by 1086.\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t + 1. Let u(l) = -l - 7 + 6 + 2. Let z be 1\/((-6)\/8*(-2)\/(-3)). Let v(p) = z*u(p) + g(p). Differentiate v(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (115 - (24 - (11 + -16 - -22))) + -21?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 - 4*s - 4. Let b(o) = -15*o**2 + 9*o + 9. Let k(j) = 4*b(j) + 9*r(j). Let l(z) = -2*z. What is k(l(m))?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1100) + -2 - sqrt(1100)) + (-2*sqrt(1100))**2*1 + (sqrt(1100) - sqrt(1100)*2*2)*-6.\nAnswer: 180*sqrt(11) + 4408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 8*y - 3. Let t be p(9). Let d(l) = 3*l**3 + l**2 + l. Let i be d(-1). Let r = t - i. Calculate the remainder when 42 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -19*a**3 - 97*a**2 + 4*a - 45. Let i(o) = -4*o**3 + 3*o**2 - o + 1. Let h(p) = 3*i(p) - k(p). What is the second derivative of h(s) wrt s?\nAnswer: 42*s + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-8))\/(-3*4\/96). Suppose -2*a = u - 8. Solve 3 - 18 = -a*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k - 7216 = -6700 for k.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825161 is divided by 149.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1799656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((3 + 3)*-22)\/(21\/2). Let q = -454\/35 - h. What is the closest to 2\/3 in -30, q, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201194 to the power of 1\/2, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001111010000010011 (base 2) to base 7.\nAnswer: 10133654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + -13 - (-5 + 12 - 5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176*d**2*y**3 - 2*d**2*y**2 - 2*d*y**2 - 18*d wrt y.\nAnswer: -1056*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -749*s = -4*q - 750*s, 34 = -q + 4*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17644696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5062092?\nAnswer: 2, 3, 7, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 6*r**2 - 5*r + 3. Let v(b) = 2*b**2 + 6*b - 6. Let y be v(-6). Let i be (1\/2)\/((-3)\/y). Calculate j(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, -2.48, -2, 727, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f\/f**(1\/4))))\/f)**42*f**(2\/9)*f*f\/((f\/(f**(-2\/3)*f))\/f)*(f**(-2\/3))**(-9)\/(f*f**(1\/3)\/f)**9 assuming f is positive.\nAnswer: f**(667\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 33 = 12. Calculate the lowest common multiple of 38\/14 + (-10)\/(-35) and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 5:10 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 16) in base 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3801 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -951 times -3064\nAnswer: 2913864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4504 - -1630447\/362. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-4*(sqrt(1344) - sqrt(21)))\/((sqrt(70)*4*1)\/sqrt(10)))**2.\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycyc when four letters picked without replacement from ycyycy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 + 3*n**2 + 126*n + 262. Determine o(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 5*n - 76, -2*y = -3*n - 23 - 15. Let c = y + -17. Solve -3*j + c*k + 9 = 26, -2*k = j - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 + 5*o**4 + 2*o**4 + 7*o**3 + 0*o**3 - 8*o**3 to w + x*o**2 + i*o**4 + y*o**3 + j*o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - 2) - 168\/(-56).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 10*o**2 - 9*o + 2. Let i be m(-9). Suppose i*u - 3 - 11 = 0. Calculate the remainder when u is divided by 4\/5*(1 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4 + 170*i**3 - 6325*i**2 = 0 for i.\nAnswer: 0, 55, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -435987, -435803, -435497, -435069, -434519, -433847?\n\"Answer: 61*q**2 + q - 436049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0*q**3 - 5 - 7*q**2 + 0*q**7 + 0*q**4 - 3\/80*q**6 + 1\/224*q**8 + 1\/20*q**5 + 0*q. Factor s(n).\nAnswer: 3*n**2*(n - 1)**2*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000431465636 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 + 31399.601.\nAnswer: 31388.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(192) + sqrt(192) + (sqrt(192) - -3*sqrt(192) - sqrt(192)) - sqrt(192)).\nAnswer: sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f + 1. What is the remainder when 37 is divided by 1\/3*(38 + f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1936*n - 28 = 1964*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.07 (b) 2\/21 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*p - 4)*(-142*p**2 + 566*p**2 + 31*p**2 + 165*p**2).\nAnswer: 1860*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24055.9935564 + 24056. Round u to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.43 + 0.03. Let o = -0.2 - s. Let g = o + -0.4. Which is the nearest to -1? (a) g (b) 5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 19*v = -5*v. Let u = 8 + -6. Let s(y) = 4*y - 4 + u - 3*y + 4. Give s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - q - 6, 2*a - 4*q + 8 = 0. Let r(p) = -2*p. Let f be r(a). Let o be (-1)\/((-1)\/4*f). Is o greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 11 - 22 + 4*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 933708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 96636 * -1254\nAnswer: -121181544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2670 + 2612. Sort -5, m, 5 in decreasing order.\nAnswer: 5, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-66)\/88 + 1\/(-4) + 10*11. Solve 6 = 2*m - 4*v, -2*v - 7 = s*m - 106*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 234 - (-20)\/(-3 + -2). Let h = 225 - g. Which is the second smallest value? (a) h (b) 0.3 (c) -4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32364 divided by 6.\nAnswer: -5394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 + 4. Let l(a) = 14*a**2 + 11. Let k(s) = -4*l(s) + 11*o(s). Let h(f) = -20*f + 3. Calculate k(h(v)).\nAnswer: -400*v**2 + 120*v - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l + 17. Let h(r) be the first derivative of -r**3\/3 + 3*r**2 + 12*r - 2. Let s(m) be the first derivative of h(m). Determine -3*i(j) + 8*s(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -134846772.\nAnswer: -404540316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -394 - -394.44. Sort x, 0.2, 3.2.\nAnswer: 0.2, x, 3.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3594354 months in millennia?\nAnswer: 0.00002995295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j**4 + 13*j**2 - 3*j. Let q(i) = -i**4 - i**2 + i. Let d(f) = g(f) + 3*q(f). Find the third derivative of d(y) wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.5 (c) -7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*z - 14 + 268, n - 46 = -3*z. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 - 0.03933934?\nAnswer: 1.86066066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16313752 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35045*n**3*v**6 + 1475*n**3*v**3 + n**3*v**2 + n**2*v**2 - 9*n**2*v + 9*n*v**2 - 14166*v wrt v.\nAnswer: -4205400*n**3*v**3 + 8850*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (26 - (9 - -61)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175682 - 175802 = 6*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4692 and 4979844.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*g - 42*g + 10175688 = 8*g. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 17*d + 14*d + 2, 4*d = 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q**3 - 16*q**3 - 9*q**3.\nAnswer: -42*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (25\/(-15))\/((-2)\/24). Suppose r = -4*g - 15 - 1, -5*g - c = 2*r. Let k = 20 + r. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180713138357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 10*s**2 - 6*s - 50. Let z be v(-10). Solve -2*j = 2*j - 2*q + z, 0 = 2*j + 5*q + 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(22599\/54) + 1695\/81\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + a - 18*a**3 - a.\nAnswer: -18*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 9:35 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 6*k - 7. Give w(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1 + sqrt(3))**2 + 0 + -6*1*sqrt(3)).\nAnswer: -4*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 87*s**2 - 2*s. Let n(f) = 263*f**2 - 6*f. Let p(a) = -7*d(a) + 2*n(a). Let w(o) = -3*o. Calculate p(w(u)).\nAnswer: -747*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 237557 and 8569.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 192\/833 - -6\/49. Which is the nearest to 1\/4? (a) 0.3 (b) v (c) -2\/15 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2 - 4. Let g(y) = y**3 - 13*y**2 + 26*y - 38. Let d be g(11). Suppose -v*o = -o - d. Solve 3*z = 2*j + 10, -4*j - 35 + 15 = o*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -8. Let l be (-4155)\/3601 + 4\/26. Let u = -0.54 + 0.04. What is the nearest to l in 1\/2, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 72 - 5*v - 87 + 277 - 54.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 28 = -7*l + 2*l, -3*l = -w - 17. Let h = 998 - 19969\/20. What is the common denominator of h and (4\/l)\/(16\/474)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 25, -5*b - 5 = -2*p + 6*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (34 - 30)\/(-2*1\/(-6)). Let o be (a\/10)\/3 + (-84)\/(-240). What is the third biggest value in -1\/6, o, 0.05, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -92761 in -4, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5524 and 1045707010?\nAnswer: 2762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2 - 4. Let m(s) be the third derivative of 0 + 0*s**4 - 1\/105*s**7 + 0*s**5 + 0*s**k + 0*s + 1\/3*s**3 - s**2. Differentiate m(q) wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2318)\/(4026\/66)*(-6)\/(15\/(-5))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0225 - 0.34706585651\nAnswer: -0.32456585651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**(-2\/75))\/s*s*s)\/(s\/((s**17*s)\/s)) assuming s is positive.\nAnswer: s**(1427\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 27*g**2 + 422*g + 248. Let r be p(38). Solve -r = 45*m + 5*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -130192?\nAnswer: 650960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*y + 62*y = -8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*i + 2*u = -49*i + 15, 0 = -4*i + 5*u - 44 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10285?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*t - n - 3*n, 4*t + 2*n - 6 = 0. Suppose -p - 43 = -5*x, 4*x + 4*p - 23 = -t. Calculate the smallest common multiple of 11 and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460322 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: Find the common denominator of 74\/279 and -17\/124.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05065 + 0.04935. What is the second smallest value in -6, n, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.02 - 10. Put d, -0.2, 0.4 in increasing order.\nAnswer: -0.2, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (17 - 34) - -4 - 7) + -88.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 + 2)*(-h - 2*h - 2*h) + 4*h - 2*h + h in the form b + k*h and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Suppose i - 6 = u, y*i - u = -5*i + 10. Suppose i + 3 = 4*n. Which is bigger: -2\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**3*c*i - 11*b**3*i**2 + 31*b**3*i + 98*b**2*c*i**3 - c*i**2 + 2*c*i - 32*c wrt i?\nAnswer: -22*b**3 + 588*b**2*c*i - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**3 - 3*y**2 - 2*y - 3. Let l be f(4). Suppose -4*j = x + 3*x - 140, -3*x + 4*j = -l. Let m = -11 + x. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 24*j + 111. What is n(14)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 104*t - 145*t + 82. Let b(z) = 3*z - 2*z - 2*z. What is b(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3864\/(-22932) + -2*(39\/42 - 1)\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.0871\nAnswer: 0.01742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 292221482 to the power of 1\/2, to the nearest integer?\nAnswer: 17094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 4. Let a = 34 - 28. Suppose -3*s = h + 1, -s - 10 = -4*h - a*s. Suppose h*k - 4*d - d = 0, d = 4*k - 9. Calculate v(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-135*x**3 + 66*x**3 + 18*x**3)*(-4 + 0 + 5)*(20*x - 21*x - 14*x) to j + v*x**4 + f*x**2 + r*x**3 + o*x and give v.\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 3 - 5 + 3)*(814 - 1373 - 1755) in the form m + a*l and give a.\nAnswer: -4628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -151, -189, -209, -205, -171?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 6*z**2 - 4*z + 8. Let w(g) = -2*g + 2. Let c be w(4). Let d be n(c). Suppose -5*k = 3*p - 0*p - 76, 0 = -p - 3*k + d. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4330987 is divided by 36394.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 18*f**2 - 17*f - 428. Let o be w(15). Sort -4, 3, 2, o, -2.\nAnswer: o, -4, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fssfyffs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x**2 + 31*x + 46. Let f(m) = -13*m**2 - 61*m - 95. Let p(u) = 2*f(u) + 5*y(u). What is the hundreds digit of p(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.8691759*2\nAnswer: 9.7383518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-27)*15\/(-2))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 18*n + 10 = 0. Let k(q) = -q - 37*q**n - 14 + q + 36*q**2. Let j(z) = -z + 6. Let y be j(6). What is k(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + g + 26679, u = -u - 5*g + 53414. List the prime factors of u.\nAnswer: 26687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5378 = 18*y + 75*y - 8912 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + 13)\/(2 + 0). Suppose 0*w + l*w + z - 9 = 0, w + 5*z = 0. Solve -2*o + w*o = k + 3, -3*k + o - 9 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58999+-0.035\nAnswer: 58998.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flfl when four letters picked without replacement from xfxxffffxlffflxxfxx?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, e: 2, l: 6}. What is prob of picking 1 e and 1 r?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6549 - 4564. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3*b - 64, -3*d - 5*b + 6 = -d. Suppose -4*p = -5*n + 135, 14 + d = n + p. Calculate the highest common divisor of 18 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484218 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 410076, 410235, 410676, 411543, 412980, 415131, 418140, 422151?\n\"Answer: 24*a**3 - 3*a**2 + 410055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -1161186 - 4262174. Let a be j\/(-20) - -1*4. Round a to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1320b - -1d6?\nAnswer: -13035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwwwlmwmlwwnmlnwww. Give prob of sequence lwl.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-6*sqrt(704)*-5 + sqrt(704) + 6*(sqrt(704) - (3 + sqrt(704))))**2*-2*6)*-5.\nAnswer: -535680*sqrt(11) + 40612095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12461.289 - -12477. Let d = 404.611 - 405. Let c = n - d. What is c rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00086483834 rounded to 5 decimal places?\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3075613 + 18820?\nAnswer: 18819.6924387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.03 - -10.03. Let u = -0.12 + 1.12. Let n be 28\/6*4\/(-7) + 3. What is the biggest value in u, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -28?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71995306 and 8109.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/11658 and 35\/12?\nAnswer: 23316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5.5, 5, -4, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40854.72 millennia to years.\nAnswer: 40854720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 5)\/2*-1. Is -297*(-2 + b) + 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmmffms. What is prob of sequence mmms?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 10:39 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/10*8\/102*340.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m + 360 = 10*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-4)\/(sqrt(900)*2 + sqrt(9)).\nAnswer: -4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 20 = -17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 46 = -y, 187*h - 44 = -y + 189*h for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -369157590 by 230.\nAnswer: -1605033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14711 is divided by 2673?\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Let i(y) = y - 14. Let b(t) = i(t) + 2*z(t). What are the prime factors of b(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2) - (-1)\/(-3)*387\/(-258).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*q - 2. Suppose -p + q*p - 8 = 0. Let d be 3*(-1 + p + -3). Solve 3*t = -t - d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -18*(-60)\/((-35)\/7). Let k = q - -248. Calculate the remainder when 121 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1092*u**2 - 2*u + 2. Let d be i(1). Let m be 12674\/d + (-1 - 0). Let f = m + -110\/39. Calculate the common denominator of -113\/18 and f.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-7)*(-49)\/(-70). Let n = 2 - 1. Let r = n + -0.9. Which is the second biggest value? (a) f (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 p when three letters picked without replacement from {r: 2, p: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -279237*v**3 - 3*v**2 + 24627*v wrt v?\nAnswer: -1675422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 256 times 1.73658\nAnswer: 444.56448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 1949 = 24858. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4695 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 504, 694, 896, 1110, 1336, 1574?\nAnswer: 1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 125 + -1?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-5)*-5*(-10)\/175.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -51, -1\/4, -14, 0, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-130) - (-28)\/13. Suppose 3*n + c*m - 102 - 94 = 0, n - 37 = 5*m. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2133958 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4072323 divided by 2?\nAnswer: 4072323\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Let l be 0 + (34*-1 - b). Let i = 224 - l. Calculate the highest common divisor of i and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1796898 divided by -6.\nAnswer: 299483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*2\/(-56)*-16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*n + 70*n = 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 124210367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*u**5 - 1156*u**2 - 4*u**4 + 2*u + u**5 + 1149*u**2 wrt u.\nAnswer: -420*u**2 - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*x + n - 31 = -215*x, -20 = 2*x + 4*n for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 63, 1, -5 in descending order.\nAnswer: 63, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -0.0371, -0.1, 0.7 in ascending order.\nAnswer: -0.1, -0.0371, 0, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 242 times 29.8718\nAnswer: 7228.9756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(91) + (-5*(3*sqrt(91) - sqrt(91)) - sqrt(91)) + sqrt(91) + (sqrt(91) - sqrt(91)*-1)*3))\/(-5*6*(sqrt(175) - -1*sqrt(175)*3)).\nAnswer: -sqrt(13)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*(-20)\/15. Let d(f) = -6*f - 3*f + 3*f + 3 + 3*f + f**k. Determine d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8582361mg to kilograms.\nAnswer: 0.0000008582361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1457 is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 10*q**2 + 11*q + 14. Let l be f(-9). What is the remainder when 121 is divided by 12\/(-6)*(l - 13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848090.\nAnswer: 2, 5, 84809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1468170 is divided by 293632.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8247570 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 925530808 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173556 is divided by 161?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.448909 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**3\/21 + 1598*o**2\/21 - 1600*o\/21 = 0.\nAnswer: -800, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23572118 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 104683 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10276, -20512, -30728, -40924, -51100?\nAnswer: -61256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 514446 divided by 179\nAnswer: 2874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -v + 2491, 0 = 3*o + 2*v + 3*v - 2495. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*b - 5, 2*b + 4*q = q + 21. Let a(c) be the third derivative of 1\/6*c**4 + c**2 + 0 + 1\/30*c**5 + 0*c**b + 0*c. Let a(r) = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42745 by 103.\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1921237 and 337.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 24*k**2 + 20*k + 8. Let s be j(-8). Let g = s + -638. Let p = g - 439. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**3 + 2*b**2 - 2*b + 2. Suppose 3*x = 2*x - 1. Let i(n) = -n**2 - 1. Suppose -51 = -2*t - d - 50, 0 = 4*t + 4*d - 12. Give t*i(v) + x*h(v).\nAnswer: -4*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70167440.\nAnswer: 2, 5, 7, 125299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/12*2 - -8*43. Suppose 3*u = w + 257. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.2 - -3. Let k = 1.2 + b. Let c = k - 0.965. What is c rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-12*5\/(60\/(-128)). Calculate the highest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-4)*(-8)\/40. What is the nearest to d in 0.1, -0.2, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 0*n - 306*n**3 + 9*n**2 - 2*n.\nAnswer: -306*n**3 + 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -1 + -1 + (13 - 13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3.6. Let v = a + -2.3. Round v to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10*-2)\/(((-704)\/(-110))\/2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**5\/60 + 5*q**4\/24 - q**3 - 7*q**2\/2 - 105*q. Let l(w) be the first derivative of t(w). What is l(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -22932428\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19 * 0.01\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.922 - 31. Round y to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + -6 + (1 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 601 = -5*i, -2*x = -0*i - 2*i + 622. Let b = -124 - x. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19140*j**3 - 2968*j**3 - 1610*j**3 + 5306*j**3.\nAnswer: 19868*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -724 + 1023. Let a = j - 303. Let f(x) be the third derivative of x**6\/120 + x**5\/12 + x**4\/6 - 2*x**3\/3 + x**2. Give f(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4849 or -4847?\nAnswer: -4849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v - 17. Let g be m(5). Let c(k) = -235*k**g - 9 - 10*k - 3*k + 222*k**3. Let r(t) = -3*t**3 - 3*t - 2. Give -2*c(x) + 9*r(x).\nAnswer: -x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 10:18 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.4 (c) -4 (d) 216\/13 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 10 = 2*s. Suppose -7*i + 5 = -s*i. Let r = i + 1. What is the biggest value in -0.4, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1842 and 34077.\nAnswer: 68154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 17 = -6. Let n be (w + 91)*2\/4. Calculate the highest common divisor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 + 2 = 0. Suppose p + 3 = 2*p. Suppose -58 = -p*z - 1. Solve 5*u = s*l - 4, -z + 47 = -5*l - 2*u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1868294?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 162. What is the highest common divisor of 660 and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuxuux. Give prob of picking 3 u.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-2)*(-460)\/(-1150).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -33926 (b) -2\/9 (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 20, 0 = 2*y + j + 3 - 17. Which is the third smallest value? (a) y (b) 1\/2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4 - 7 = x, -4*x = 5*g + 10. Factor 0 - o**3 - 5 + 6*o**g - 2*o**4 - 2*o + 3*o**3 + 1.\nAnswer: -2*(o - 2)*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -103540378 and -331?\nAnswer: 103540047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (4 - (-9 - -5) - 16)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 36 = -224. Suppose -4*u + 53 = f. Solve 3*x + u = 8*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/3)\/(-84))\/(((2940\/(-112))\/5)\/9)\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**3 + 156*i**3 + 21*i**3.\nAnswer: 169*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1098 and 3843?\nAnswer: 7686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/63 - 1) + (-342)\/(-63) + -9.\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1500, 3\/26, 199?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 + -84. Suppose -3*o = 12, z*v - 17317 - 16643 = -o. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -193525290*c**2*t**3 + 122268813*c**2*t**2 wrt t.\nAnswer: -1161151740*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = 45*j - 47*j - 7, -j = q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at most as big as -5563580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((-7)\/((-14)\/(-12))). Which is the closest to -0.1? (a) -2 (b) -1\/6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/120 + 3*w**5\/20 - w**3 - 32*w**2. Determine n(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*r - 32 = 0. Suppose -j - 1 + r = 0. Differentiate -j*h**4 + 14 + 7*h**3 - 9*h**3 + 2*h**3 wrt h.\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -154 < -461\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24289 less than -0.01?\nAnswer: 24288.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584682007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 231 (b) 1 (c) -1 (d) 8 (e) -1\/6 (f) 1\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-2)*5\/((-1650)\/(-432))*(-20)\/(-80)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -10, 5, 26?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36436?\nAnswer: 2, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, m: 7}. Give prob of picking 1 m and 2 b.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -21*z**2 - 70886*z. Let o(i) = -i**2. Calculate t(o(p)).\nAnswer: -21*p**4 + 70886*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 7\/((-21)\/285). Let f = -51 - h. What is the highest common factor of f and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) - 46\/6. Let b be (-111)\/(-4) + (-2)\/o. Suppose -3*r + r = -2*y - b, 5*r = 3*y + 60. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mammmammmammmmmmammm. Give prob of sequence aama.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 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 a = -337 + 513. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14290221973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 103*a - 6 - 10*a**2 - 51*a + 7 - 51*a. Suppose 7*d - 4*f = 2*d - 13, 3*f = 2*d + 8. Determine v(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 14)\/((-15)\/(-10)). Let x be 34\/w + (-4)\/(-10). Let m(o) = 1168*o + 4. Let d be m(x). Round d to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1097070?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*r - 36, 2*f - r - 4 = -4*r. Let q be (0 - f - 3) + -1. Which is the biggest value? (a) 1 (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-21)\/2)*4\/(-8)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2131 - -2137. What is the closest to d in -0.3, 0.4, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 4 - (2 + (1 - 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24939 and 3.\nAnswer: 24939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/50)\/((-3)\/(-15)). Is 3\/4 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + x = -167 - 165, 0 = 3*q - 4*x - 206. Let r = q + -66. Suppose r = -v - y + 6*y + 2, 0 = -2*v - 3*y + 4. Sort 3, -4, v, 0 in decreasing order.\nAnswer: 3, v, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*v + 5 - 5 + 4*v - v - v + (-2 + 0 + 1)*(4*v + 37*v + 42*v).\nAnswer: -107*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5538.049ml to litres.\nAnswer: 5.538049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4904781 is divided by 298.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Let c be (-17 - 0)*(2 - 3). Let u(s) = 6 + 0*s + 2*s - 3*s. Let x(p) = 3*p - 17. Let j(v) = c*u(v) + 6*x(v). Calculate j(g(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-455)\/(-63) + 20\/(-90). Suppose -u = t*u - 48. Solve 2*q + u = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77672034 by -53273.\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__div_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: Let x(n) = 2*n. Let j(c) = -c. Let o(d) = -3*j(d) - 2*x(d). Suppose 0*p = -3*p + 3. Let r = -314 + 310. Let f(i) = -2*i + 1. Give p*f(l) + r*o(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) + 38\/8. Let g(r) = r**2 + 2*r - 1. Let t be g(-7). Let o = 39 - t. Calculate the highest common factor of l and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4656 divided by -291\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40.9 + -41. What is the nearest to o in -1, 0.05, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - -3 - (18 + -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 b when four letters picked without replacement from bbbzzbbbbbb.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j. Let m be 31\/(-3)*-3 - 1. Suppose c - 4*o = -c + 18, 0 = 4*c - 2*o - m. Let i(k) = -3*k**2 - 15 + 8 + c. What is i(t(v))?\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (203 + 7*i - 145 + 2*i**2 - 46)*(-i + 2*i - 2 + 3).\nAnswer: 2*i**3 + 9*i**2 + 19*i + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1062080*x**2 - 531039*x**2 - 531040*x**2. Let p(h) = -h**3 - 3*h**2 - 3*h - 1. Give p(r) + 5*q(r).\nAnswer: -r**3 + 2*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 462?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 y when three letters picked without replacement from {t: 5, y: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from pdpdidpdppppid.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 + 7*f + 16. Let p(a) = 12*a**2 - 36*a - 84. Determine 11*g(x) + 2*p(x).\nAnswer: 2*x**2 + 5*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 + (0 - (-2 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9696749, -9696745, -9696741, -9696737?\n\"Answer: 4*g - 9696753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -295. Let c = -155 + d. What is the highest common factor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q. Let w be -2 + -1 + (-5)\/(-1). Let a(y) = -20*y + 2*y**w + 20*y. Determine a(d(k)).\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 602 + 791 = n. Let l = -3148 + n. Calculate the remainder when (-2)\/14 - l\/35 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/100521 and 68\/1971?\nAnswer: 100521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -12*g - 42. Let c be d(1). Put -11, c, -5 in increasing order.\nAnswer: c, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46653 at least as big as -46370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3) + (4 - (0 + -6)) - -2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 126\/5. Which is the biggest value? (a) k (b) 0.4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25413 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/15*-2)\/(2\/(-5)). Let c be (k - (-20)\/(-16)) + 1623\/12. Is c less than or equal to 134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.4 and -528355 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -14. Suppose -b = 3*g - 5. Let t be 1*(3 - 111)\/g. Calculate the greatest common factor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r. Let h(o) = o**2 + 13*o + 12. Let t be h(-12). Let c be (t - (-4)\/(-8))*(-3 - -1). What is y(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54*(1232\/396)\/14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 33. Suppose -5*b + q = r - 4, 4*r - 26 = -3*b. Solve 4*i = -3*z - 26, -z + 2 + 21 = -r*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*b = 12, 5*q - 8 = 3*q - 5*b. Suppose -6*i + q*i = -16*i. Solve i = 5*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21308 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2 + 3*x + 3. Let l(j) = 0 + 2 + 2*j + 0 - 3*j**2. Determine 3*l(w) - 2*r(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j + 102. Determine v(-11).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 15100.95 years?\nAnswer: 151.0095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 628.2 + -630.2. Which is the smallest value? (a) 10 (b) 0.17 (c) 5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7\/6 (b) -2\/9 (c) 2 (d) -1.2 (e) -30\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -170?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((-6)\/(-4)) + 14. Let k = -3 + f. What is the remainder when k is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 932 times 19\nAnswer: 17708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 7:53 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143965 is divided by 15990.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 0)*(-1 - 2). Suppose -g = 5*v - 20 - 76, 0 = 2*v + 5*g - 20. Let n be 1*(16\/v - 1). What is the third smallest value in n, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69076801931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -10.89. Let y = -0.11 - t. Let a = y - -0.0000035. What is a rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 669976 and 512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 981*n**4 + 72*n**4 + 116*n**4 + (0 + 3 - 2)*(-6*n**4 + 3*n**4 + n**4).\nAnswer: 1167*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 104 = -44. Let h = u - -71. What is the remainder when h is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 252, 549, 850, 1155, 1464?\n\"Answer: 2*a**2 + 291*a - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 123, -334, -973, -1794?\nAnswer: -2797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2\/2 + 24*j - 46 = 0?\nAnswer: 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.6, -2, -1\/15, 1\/2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.518 + -4?\nAnswer: -0.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 7*g = -15653. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10854)\/(-1215) - 9)*90.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/(-21) - (-32)\/(-12). Let k = -14\/85 - -2803\/1020. Find the common denominator of 115\/6 - (-6)\/c*-2 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3831 + -568?\nAnswer: -4399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.8, 2.9, -1\/8, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5404387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-96)\/(-288) + (-16)\/(-6). Solve -i + 2 = -3*r, d*r + 1 = -i - 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*-28.22.\nAnswer: 1693.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -289692 + -0.069\nAnswer: -289692.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*u + 497 + 289, -3*u = -3*t + 816. Let w = u - -1220. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*r - 65*r - 4851. Which is the second smallest value? (a) r (b) -1 (c) -1\/2 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000422 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 33*g + 497. Let t be p(-15). Solve 3*j - 29*k + t = -25*k, -2*j + 5*k = 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from {x: 7, j: 2, k: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5*l - 2*l - 3*l - 2*l**3.\nAnswer: -2*l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 4*a = 0. Let h(m) = m + m - m + a. Let y(q) = 11*q - 9. Let b(u) = 5*u - 4. Let n(r) = 9*b(r) - 4*y(r). Determine h(n(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(1008) + -2))**2.\nAnswer: -1296*sqrt(7) + 9396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5756 is divided by 160?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73739 - 48474. What are the prime factors of p?\nAnswer: 5, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b**2. Let d(c) = -9*c**2 + 60*c - 20. Let q be d(6). Let v(o) = -28783 + q*o + 28783. What is a(v(h))?\nAnswer: -2816*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133749*c**2*h**3 + c**2*h**2 + 11374*c**2*h + 2*c**2 + h**2 + 287*h wrt h?\nAnswer: -802494*c**2*h + 2*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, r: 2, p: 1, e: 2}. What is prob of picking 1 e and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(605) + -2)*1 + -1.\nAnswer: -198*sqrt(5) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(9\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 72 - 63 + 2*i**2 + 3*i + 2*i + i. Is n(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/48 and -199\/5061420.\nAnswer: 20245680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1489271498?\nAnswer: 2, 11, 13, 5207243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-765)*4)\/(16\/(-24))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 29944768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let l(q) = 2*q. Let b(p) = 3*i(p) - 2*l(p). Let u(s) = -s**3 + 6*s**2 + 2*s - 7. Let r be u(6). Let n(k) = k + 5 - r. What is n(b(v))?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9.4. Let l = -2.6 - y. Which is smaller: 2\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 19*f**5\/120 - 7*f**4\/24 + 9*f**3 + 2*f - 46. Let p(k) be the third derivative of g(k). Differentiate p(b) with respect to b.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -1\/5 (c) 4 (d) -1926\/13 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0. Let h = 0.9 + -1. What is the closest to h in v, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1923.518 to the nearest ten.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**2 - 94*m - 1060. Let k(x) = -x**2 - x - 1. Let u(g) = -a(g) + 2*k(g). Solve u(z) = 0 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 - 2*h + 38 - 155 to l + w*h and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-211*t**2 - 363*t**2 + 441*t**2)*(8*t - 6 + 6)*(3 + 3*t - 3).\nAnswer: -3192*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0 + 0)*(-44*u + 108*u - 42*u)*(-1 + 2 - 4)*(4 - 3 - 2)*(-2*u - 2*u + 2*u).\nAnswer: -132*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (977\/6839)\/((-1)\/2). Let h = 0.9 + 0.1. What is the third biggest value in h, l, 4, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 3*u - u + 20 + 56. What is the tens digit of x(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26598 - s**2 + 26598.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 + -11)\/(3\/38). Let a = -6 - f. What is the lowest common multiple of 6 and a?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2\/9, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*2 - -34. Let v = i - 19. Suppose u - 89 - v = 0. Round u to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1808 + -7?\nAnswer: -1816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 207 = 486. Let r = 181 + i. Calculate the remainder when r is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 5*s - 5. Let x(q) = 3*q**2 - 8*q - 8. Let a be ((-3)\/(-6))\/((-1)\/(-32)). Let c = -8 + a. Let p be 1\/(1\/((-20)\/4)). What is c*k(o) + p*x(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -16748667.6 to the nearest one hundred thousand.\nAnswer: -16700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 2*c - 16. Let i be g(3). Suppose -11*u = -6*u - 185. Let b = u - i. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - ((-6)\/15)\/(4\/20). What is the biggest value in l, 0.2, 4, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.9? (a) 2 (b) -2 (c) 55 (d) -1\/2 (e) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 673*i**2 - i - 1 - 336*i**2 + 8*i**4 - 341*i**2 as n*i**3 + u*i**4 + v*i + f*i**2 + r and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -241513, -483132, -724751, -966370?\n\"Answer: -241619*g + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/180)\/(56\/2772*-22)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 11) in base 14?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79871*p + 80444*p - 12831 - 15819 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3260 + -140170\/43. Let f = h + -64\/645. Which is the second smallest value? (a) -0.5 (b) 1\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -18. Let k(w) be the third derivative of -1\/6*w**3 + 0*w + 1\/12*w**4 + 0 - w**i - 1\/60*w**5. Factor k(b).\nAnswer: -(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1531*0.96\nAnswer: -0.146976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -5*f**3\/6 + 3*f**2\/2 - 6*f. Let z(d) = 9*d - 5. Determine -7*v(m) - 4*z(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(152) - sqrt(152) - sqrt(152))\/sqrt(8) + ((3 + sqrt(19))*-4)**2.\nAnswer: 91*sqrt(19) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {r: 1, i: 10, e: 3, n: 3, k: 3}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -631 - -3?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6 + (-1468)\/108 + 6684 + -6670?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 227 + 524. Suppose n + 0*n = 5, -5*n + b = 3*k. Suppose 0 = -4*d - r - r + 176, 3*r = 5*d - k. What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 879611*a + 1143064?\nAnswer: 879611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 5, 213\/4, -2\/35, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 22*p**3 - 185*p**2 + 47*p + 168. Determine h(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooyoooyoo. What is prob of picking 2 o and 2 y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 3:57 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -797728, -797730, -797732, -797734, -797736?\n\"Answer: -2*d - 797726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/621 (b) 6\/11 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 5*a**2 - a - 2. Let w be x(-5). Suppose -5 = -2*i + w*i. Suppose 22 = -g - 4*q, -q = -2*g + 4*q + 8. Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 2*f**3\/3 + 313*f**2\/2 - 560*f - 619. Differentiate x(s) wrt s.\nAnswer: 4*s + 313","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15076119 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 159, 3, -100, -4, 20 in descending order.\nAnswer: 159, 20, 3, 0, -4, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 + k**3 - k**3 + (-2*k**2 + k - k)*(-8 + 8 - 12*k).\nAnswer: 27*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:07 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-529)\/(-11638))\/(1\/(-1386))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(240)*-1 + sqrt(240))\/sqrt(6))\/(sqrt(16)\/(-1*sqrt(2) - sqrt(2)) - sqrt(8)*-1*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 1\/22 (c) 3\/10 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3))**(-17)*(d*d**(-1))\/((d*d*d\/d**14*d)\/d*d) assuming d is positive.\nAnswer: d**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t + 106. Give q(0).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 4 - 4)*(2 - 2 - 2*q**2) - 3*q**4 + 11*q - 11*q + (q**2 + q**3 - q**2)*(2 + q - 2) - 3*q**4 - q**4 + 5*q**4 - 3*q**4 + 13*q**4 + 9*q**4.\nAnswer: 22*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1440 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2. Let c(l) = -343*l**2. What is b(c(g))?\nAnswer: -235298*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 8*u = 7*u + 18, -4*f - 5*u + 27 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28393\/15775 or -2?\nAnswer: -28393\/15775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k**2\/7 + 1125*k\/7 + 141\/7 = 0.\nAnswer: -1\/8, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -355, -517, -943, -1765, -3115?\nAnswer: -5125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 15. Suppose -2*d + 4*j + 4 = 2*d, 2*j = -3*d + 8. Suppose s - 2*y - 3*y = 0, d*y = s. What is b(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 658 - (2\/8)\/(6\/(-120)). Calculate the highest common factor of 51 and k.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418550389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*c = 0, -5*b = -10*b - 5*c. Suppose -i - 2*i = 0. Solve -3*u + i - 6 = b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 31*m + 55. Give f(15).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697945329 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 5792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23869.3695 equal to 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 6*u - 5. Suppose 7*c - 6*c = 5. Determine r(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -766 (b) 4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -19. Let q(w) = w**3 - 6*w**2 + w - 4. Let v be q(6). Let a be v*(-2 - -3) + -2. Solve -6*m + 2*m - x = a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -643\/3 (c) -0.5 (d) 1\/8 (e) -1\/5 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 5*d - 2. Let r be z(5). Is ((-4)\/10)\/(r\/230) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*t - 27, -203*t + 202*t = -5*v + 24. Solve -z - 1 = -4*i, -3*z = -2 + v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 780 + 210 = 0. What is the lowest common multiple of g and 3?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139*y**4 + 6*y**3 - 2014*y**2 wrt y.\nAnswer: 3336*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3079922 is divided by 1393.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1694\/220 + (-1)\/2 + (-240)\/200. Suppose -3*y - 22 = 56. Let z = 74 + y. Calculate the highest common divisor of z and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-6\/23)\/o)\/((o*o\/(o\/(o\/(o*o**(1\/66))))*o)\/o))**(2\/163))**(-15\/7) assuming o is positive.\nAnswer: o**(2435\/41239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16\/(-6)*(749738\/(-56) + 16\/(-224))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 6.589.\nAnswer: 3.2945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*5\/(-120)*3. Suppose -f = 3*f + 2*v - 8, 2*f - v = 8. Suppose -f*n + 4*n = -2. Which is the closest to y? (a) n (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -29*w**2 - 14*w - 14. Let y(g) = -10*g**2 - 5*g - 5. Let v(a) = -4*p(a) + 11*y(a). Calculate v(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.29 + 14. Let j = g + 0.29. Put j, -2\/7, -9 in descending order.\nAnswer: j, -2\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -6) + -2 + 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (68 - 28 - 30) + (-13 - -11) + 2 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 10*n**2 - 2*n**3 - n - 3*n to l*n**3 + b + w*n + k*n**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -33945534 divided by -76974?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4. What is the derivative of 3*b**2 - 4 + w*b**2 - 1 wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -967 + 3?\nAnswer: -964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 21. Suppose d - 1 = -3*t. Let l = -2 + 8. Sort t, l, 4 in increasing order.\nAnswer: t, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36847058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/(-3) + -1)*(-54 + 60). What is the closest to i in 3, 5, -3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3881.6 - -3224. Let c = a + 25.6. Let d = c - -632.00000654. Round d to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**4\/8 + 183*s**3\/8 - 19845*s**2\/8 + 39129*s\/8 - 9735\/4 = 0?\nAnswer: -118, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(156)*3)\/(3*(sqrt(1452) + 1*sqrt(1452) - sqrt(1452))).\nAnswer: -12*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 632.6 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7 = -0*i + o, 0 = 5*i + 4*o - 6. Suppose i*f + 8 = -2*f. Let v(j) = -2*j**2. Calculate v(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2 + 2*t + 2*t**2 + 8 + 5*t - 2. Let z be 68\/(-18) + 24\/(-108). What is the units digit of c(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.98 - 63?\nAnswer: -63.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 28 = 2. Suppose -q*o + o + 2*n + 5 = 0, -2*o + 2*n + 8 = 0. What is the units digit of (4\/5)\/(o\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314*z - 5020006 - 271810 = 1971004. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*a + 210, 3*a = r + 5*a - 45. Let j(y) = 2*y + 12. What is the remainder when r is divided by j(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = v - 10. Suppose -11*x + v - 1 = 0. Suppose 964 = 5*m + a, 5*a + 331 = -x*m + 1098. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -2*x**3\/3 + 1038. Let i(m) = 24*m - m**2 - 441 + 441. Give i(s(r)).\nAnswer: -4*r**4 - 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 594 divided by 3036?\nAnswer: 9\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 11:47 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*u - 89 - 43 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -30. Let n(k) = k. Let t(s) = -15*s + 11. Let f(b) = -3*n(b) - t(b). Let u(m) = -4*m + 4. Let h(z) = d*f(z) + 8*u(z). What is h(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from {t: 4, k: 3, l: 1, d: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 749\/284 + 8\/71. Let h = m - 27\/20. Let f = -2 + 4. Is h < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41235 + 81558. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/367 + 523\/28626. Let s = -1835\/156 + z. What is the common denominator of -17\/11 and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 344.7611 tonnes?\nAnswer: 344761.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**3 + 35905*f**2 + 2135680*f - 4415020 = 0. Calculate f.\nAnswer: -7121, -62, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1747 = 4*j - 0*o - 3*o, 1324 = -3*j + 5*o. Let a = -245 - j. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(3*(-3)\/(-45)). Let t(f) = f**2 + 34*f - 2. Let m be t(-34). Sort 4, h, m in ascending order.\nAnswer: h, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5097 * 1.324.\nAnswer: -6748.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 8*n**3 - 101*n**2 + 1456*n + 1571. Let f(o) = -70*o**3 + 912*o**2 - 13104*o - 14138. Let k(s) = 6*f(s) + 52*i(s). Solve k(q) = 0.\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111176*s - 3*a - 6 = 111180*s, -25*s - 2*a = 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -2*f + 47 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u + 2. Let c(x) = -x - 1. Let z(f) = 4*c(f) + 2*o(f). Let j(y) = -y. Give j(z(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 750?\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -245595\/22 or -11164?\nAnswer: -245595\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.42803 millilitres in litres?\nAnswer: 0.02342803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -777.9 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) -4 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 584*m - 143940. Determine k(246).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(180)*-5)\/(sqrt(27)\/sqrt(3)*-6 - sqrt(9)))\/((sqrt(1764)*-2 - sqrt(1764))\/(sqrt(1296) + sqrt(1296)*2)).\nAnswer: -60*sqrt(5)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21645251\/2748 + 34078\/229. Let z = 7720 + d. Calculate the common denominator of z and 1\/(-3) + 217\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/7 + 54*q**2 - 5460*q + 66248 = 0. What is q?\nAnswer: 14, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*q - 24 = 0, 0 = -4*c + 4*q + q + 96. Suppose -32 + 1 - 50 + 21 - c*k + 3*k**2 = 0. Calculate k.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/4 + 10269*q**2\/2 + 10857600*q + 6597645000.\nAnswer: 3*(q + 1046)*(q + 2900)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 0, -1, -27.\nAnswer: -27, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38610\/810*(-81)\/(-99)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1053\/(-2340))\/((-3)\/5).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w\/(w\/(w*w**(-3))))\/w)*w*(w**(-13)\/w)\/w)**(1\/18)\/((w**(2\/5))**(-2\/107)*(w*w**(-1\/12))\/((w*w*w**(-5\/3)*w*w*w)\/w*w*w)) assuming w is positive.\nAnswer: w**(54179\/19260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1233, 2538, 3877, 5256, 6681, 8158?\nAnswer: 9693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3478 + -3476. Put x, -22, -0.4, -2 in increasing order.\nAnswer: -22, -2, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = p - 155, 3*v = -0*v - p + 95. Let f(i) = -i**3 + 21*i**2 + 41*i + 85. Let a be f(23). Let q = a + v. Solve 5 = -q*z + z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 198*k**3 - 27*k**2 + 503*k + 506. Determine v(-1).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*p - 337, -656 = -2*c + p + 4*p. Calculate the greatest common factor of c and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203445928?\nAnswer: 2, 7, 3632963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82.25 + -3.25. Is 2 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1049, 2\/3, 1\/4, 2\/13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from dijssizjsjdv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3831932378 to the power of 1\/2, to the nearest integer?\nAnswer: 61903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m + 21 = -18*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x - 4*l - 24, 3*x - 2*l = 0. Let o = 2 - x. Suppose -o*b - 16 = -8*b. Put b, -2, 5 in ascending order.\nAnswer: -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -33*c**2 - c + 2. Let i be p(1). Let m = -9 - i. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -21, 88, 251, 474, 763?\nAnswer: 1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 1149cb?\nAnswer: -114a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11891 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -20*h + 182. Let x be v(9). Let l(g) be the first derivative of 4*g**3\/3 + 3*g**2\/2 - 3*g - 1. Calculate l(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 0*c**2 - 3*c**2)*(-538 + 538 + 23*c**2).\nAnswer: -23*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2 - 16727*l + 9591510 = 0.\nAnswer: -17282, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12642 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 8 = 2*c + 3*u, 3*u = 6. Suppose 0*m - 20 = c*m, 0 = -4*d + 4*m + 356. Suppose -7*p + 60 = -2*p. What is the greatest common divisor of d and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 48*j**2.\nAnswer: -3*j**2*(j - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.15661 rounded to two dps?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**5 + 458*z**4 - 11686*z**3 + 54592*z**2 - 59469*z - 33282 = 0. Calculate z.\nAnswer: -2\/5, 3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: a1515a (base 12) to base 6\nAnswer: 125544554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -1902*y - 7521. Let n be a(-4). Solve n*i - 85*i + 3 = 3*x, -4*x + 5*i = -4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31852067?\nAnswer: 13, 17, 101, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:55 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4016 - 3*h + 3853 - 11046 + 3997 in the form y + t*h and give y.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3374 - 3254. Calculate the greatest common divisor of 135 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - 5 + 5)*(-194*d - 23*d - 83*d) to the form w*d**2 + p*d + y and give w.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9547940 divided by -1580?\nAnswer: -6043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*u = 151*u - 71*u - 95. Suppose 0 = -3*w - 5*w + 1968. What is the remainder when w is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * 3.3.\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 605 (c) 1\/2 (d) 0.09 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 53*w**2 - 21*w + 85. What is the units digit of l(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nda when three letters picked without replacement from rrdrraaraerdn?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 9, -1\/4, 5\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2163491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**3 - 2*l**2 - 8*l + 14. Give q(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 70, 107?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2841927\/8573480 - 2\/46595. What is the common denominator of b and -115\/36?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-933)\/6*2*-3. Is (-14)\/49 + t\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x - 36. Let g be ((-3)\/(-15) + 1)*-15. Is 9 a factor of h(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9245*n - 2312*n - 2321*n - 2307*n - 2306*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8 - 12 = 0. Let v be (1\/(-2) + 2)*((-5044)\/(-858) + -6). Which is the third biggest value? (a) f (b) v (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 10) in base 7?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38, 52, 84, 140, 226, 348, 512, 724?\n\"Answer: z**3 + 3*z**2 - 2*z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 - 13*t**2 - 6*t - 4. Let j(z) = -6*z**3 - 27*z**2 - 10*z - 7. What is -4*j(b) + 7*w(b)?\nAnswer: 3*b**3 + 17*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24734600 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 34132587*m\/2.\nAnswer: m*(m - 34132587)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 41952?\nAnswer: -41958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 4*l + 3*l)*(-10*l + 4*l - 20*l)*(3*l**2 - l**2 - l + 0*l) as j + f*l**4 + i*l**3 + y*l + a*l**2 and give i.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -37*(-5)\/(-60) + 17\/204\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 0 - (-8 + -9)) + (0 - 5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) 2255 (c) 0.4 (d) -9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 329\/56 + -6 + (-2)\/(-4)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggzoozozoooogogo. What is prob of sequence ozgo?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -185*q**2*w**2 - 40*q**2 - 2*q wrt w.\nAnswer: -370*q**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 + 2.8. Which is the closest to 2? (a) 5 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k**2 + k**3 - 1 + 1 - 2*k - k**2 to v*k + f*k**2 + g*k**3 + i and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieezkzeeizu. What is prob of picking 1 k and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -1688*z - 17394 - 6260 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5*y + 24, -917*y + 920*y + d - 16 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/760 and -15\/22?\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -19*v - 7. Suppose -5*s - 16 = -s. What is the tens digit of r(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a. Suppose -4*t = -3*q + 37, 3*t + 9 = 4*q - 3*q. Suppose -4*s + q = s. What is the units digit of v(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 5. Let s be k(5). Suppose 4*g + g - 15 = s. Suppose -2*x - 4 = -g*x. Solve x*n + 3 = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 205*i + 390. Determine b(105).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2135\/610*(-62)\/(-31).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -2\/71391761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 1 + 21. Is -1*2*(-314)\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 + 129522 - 3512*o - 129528 + 3512*o.\nAnswer: -5*o**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/6*-22 + 6\/(-9). Let p = 205 - j. What is the greatest common factor of 34 and p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 a when three letters picked without replacement from aarjrjarwarrwaorrr.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 3*r - 2*r**3 + 12*r**2 + 3 - 22*r**2 + 12*r**2 in the form t + z*r + i*r**3 + k*r**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z - 15*z = -27*z + 1119870. List the prime factors of z.\nAnswer: 2, 23, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48609297 to the power of 1\/3, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) -23113 (c) -11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23306967239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-2 + -5 + -2 + sqrt(75)*1 + -2)**2.\nAnswer: 90*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 3.4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 5*o + 34*o)*(0 + 3 - 6)*(4 - 4 - o).\nAnswer: 99*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + -0.13. Let n = t - -22.98. Let u = -23.0012 + n. What is u rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/16 and 73\/1336?\nAnswer: 2672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v = -21*v - 1590. What is the highest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 101 = -49. Let t = -1581 + 1708. Let c = t + u. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 92) + (34 - 3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 22 - j**3 + 11*j**2 - 10 - 3*j**2 - 14*j - j**2. Let y be u(4). Solve -8 = 4*q - y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.06 - 0.06. Let q be (-6)\/(-28)*(-7)\/(-2). What is the biggest value in 2\/5, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 3. Let c be f(-7). Solve 0 = -c*t + 4*j, 28 = 2*t + 3*j + 2*j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103*y**6 + y**3 - 337*y**2.\nAnswer: 12360*y**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 60 = -4*n, -n + 57 = -2164241*z + 2164247*z for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*t + 4*i - 96, -4*i - 256 = -3*t. Suppose 6*p + 4*y = 2*p + t, -114 = -5*p - 3*y. Are -1 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vppvznzxqnqnzqxxpvvq. Give prob of picking 1 v and 1 p.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00145718853 to 6 dps.\nAnswer: -0.001457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 6:45 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-9\/7)*h*h*h)**43\/((h*h*h*h\/(h\/(h**(-2\/11)\/h*h))*h)\/(h*h*h*h*(h**(-19)*h)\/h*h*h*h)))**27 assuming h is positive.\nAnswer: h**(529038\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 9 + 2)*(0*u**2 - 2*u**2 - 3*u**2) to the form o*u**2 + r + b*u and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**4*j**2 + 8*c**3*j**3 + 174*c**3 - 23*c**2 - 941*c*j**3 wrt c?\nAnswer: 96*c*j**2 + 48*j**3 + 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + -3*-1*sqrt(35) - sqrt(1715)*2)\/((sqrt(5) - (sqrt(5) - sqrt(5)*1*-5)) + (sqrt(5) + sqrt(15)\/sqrt(3))*-5).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 61, 236, 527, 934?\n\"Answer: 58*z**2 + z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394180 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 71*d**3 + 215*d**3 - 2095 - 2*d**2 - 72*d**3 - 73*d**3.\nAnswer: -d**3 - 2*d**2 + 3*d - 2095","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0\/j)\/j)**41)**39*((j**(-1)*j)\/((j\/(j\/(j*j\/((j**(-1\/2)\/j)\/j)*j)))\/j*j))**(-40) assuming j is positive.\nAnswer: j**(-2978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.56 in 2, 2\/77, -3, 4.3?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004670441 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -4 + (19 - 59)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 4*g + 13. Let p be r(-6). Suppose 0 = 3*l - b - 7, -7*l = -2*l - 2*b - 10. Let j = l + 0. Solve 3 + p = -j*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-50 + 1 - (-32 - (-44 + -24 + 21)))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4\/9 - 4*n**3\/9 + 4*n**2\/9 + 4*n\/9.\nAnswer: -4*n*(n - 1)*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert ad (base 14) to base 2.\nAnswer: 10011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 8 + a - 9 - 1 - 19. Calculate i(-12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t - 111. Let n(b) = -5*b - 55. Let z(i) = -3*a(i) + 5*n(i). Let v be z(-28). Solve -6 - 6 = -u + 2*f, 2*f + 6 = -v*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2399647*j**3*y + j**3 + 1537*j**2*y - 1146*j*y wrt j?\nAnswer: 14397882*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 46 = c + c, 5*j + 8 = c. What is the derivative of 12 + 41 - d - 40*d + c wrt d?\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 + 3*t**2 - 6*t + 3. Let s(m) = 24*m**3 - 13*m**2 + 23*m - 13. Let x(i) = -26*h(i) - 6*s(i). Find the second derivative of x(p) wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0267541 to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29.1 <= -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -471 divided by 2?\nAnswer: -471\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/39310463 and 5.\nAnswer: 39310463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26.1 or 17370?\nAnswer: -26.1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + p - 327 + 157 + 154 = 0, -5*k + 17 = 2*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-13)\/((p**(-3)*p)\/p) assuming p is positive.\nAnswer: p**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-396)\/(-54))\/((-3)\/((-18)\/2)))\/((-9)\/18)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -a - 8, -3*z = -5*a - 133. Suppose 5*d - 2*b - 186 = -z, -3*d - b = -79. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o. Let c(g) be the second derivative of 0*g**2 + 0 - 5\/6*g**3 - 91*g. Calculate c(b(l)).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1116, -4324, -9672, -17160, -26788?\nAnswer: -38556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 948 - 206 = 2*b. Suppose b + 444 = 5*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -115628, -233039, -350446, -467849, -585248, -702643, -820034?\n\"Answer: 2*z**2 - 117417*z + 1787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15aa + 2a?\nAnswer: -1580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m**2 + 0*m)*(-2*m - 4 + 4) + (2*m**2 - 2*m**2 - 5*m**2)*(-3*m + 3*m - 2*m) + 0*m**3 - 4*m**3 + 2*m**3.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 5*o + 2*d - 40, 0 = -o + 5*d + 24. Solve -o*w - 1 = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-156)*3*(-96)\/(-24).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - v - 4 = -4*v, 2*g + 2 = -2*v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12305874.\nAnswer: 2, 3, 7, 23, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*n + 3375 = n, -2*x + 3*n = -2250. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5, 3*m - f - 125 - 230 = 0. Suppose -v + x + 3 = -18, -m = -5*v + 2*x. Suppose -3*z = -80 + v. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -27 + 73 + 20 + -24?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f + 19*f - 3 + 4 + (5*f + 4*f - f)*(-2 + 4 + 0) in the form v*f + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 1)*(-1 - 2). Suppose 0 = -g - 0*g + j. Which is smaller: 0.1 or g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 2*p**2 - p + 1. Let q be (-4)\/14 - (-24)\/(-14). Let s be u(q). Suppose -2*o + 0*t = -4*t + 32, -s = 3*o + 3*t. Which is smaller: -5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, t: 4, q: 1}. Give prob of picking 1 t and 1 q.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(sqrt(700) - sqrt(700)*-4 - sqrt(700)).\nAnswer: 1 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/((-78)\/168) - 3\/(-1). Let i = -21 - s. Suppose i*f + h = 5*h - 4, 5*h = 20. Solve -f*l + 9 = -3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 4*i + 4, 2 = -3*t - 5*i + 1. Solve 2*p = t - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717112113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 16*c**2 - 16*c - 13. Let m be x(-15). Suppose -3*u + 5 = 2*p, 0*p + 7 = u + m*p. What is the second biggest value in u, -4\/3, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qreehoqqqqe. Give prob of picking 1 q and 1 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -27125.7?\nAnswer: -27125.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 232116049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 13 - 22 + 0*g**2 + 6*g + g**2. Let c be t(-8). Find the second derivative of -6*i + 0*i**5 - 3*i**5 + 0*i - c*i**5 wrt i.\nAnswer: -200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 12. Let g(c) = c + 4. Let x be g(p). Suppose x = y - 4*y, d = 3*y + 7. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.257 + 16.757. Let t = 6 - -9. Let m be 6\/t + (-23)\/(-5). Which is the third smallest value? (a) m (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/18 + (-7)\/(-2). Suppose 0 = f*j + 2*j - 110. Let k be (2\/3)\/((-2)\/(-6)). What is the highest common factor of j and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 43\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 - k**3 - 3*k**4 + (-2*k**4 + 0*k**3 + 0*k**3)*(1 - 2 + 3) + 73736*k - 73736*k - 9108*k**4.\nAnswer: -9115*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*127\/(-2032)*(-2)\/(-3).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*l + 4*l**2 - 9*l**2 + 6*l**2 as a + k*l + p*l**2 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 + 15 = -10*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -314.99999017 + 315. What is h rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/1051 and -9\/8?\nAnswer: 8408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 - s. Let u(g) = g**3 - 5*g**2 + 6*g - 6. Let q be u(4). Suppose q*b = -3 + 13. Calculate the lowest common multiple of l(-1) and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4920427 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-118)\/(-30) - 4)\/(-1). Let t(n) be the second derivative of 0 - n - 1\/30*n**4 + 0*n**2 - q*n**3. Suppose t(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 156?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008280 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 296074*s + 1. Let x(n) = -n**2 + 2*n. What is u(x(b))?\nAnswer: -296074*b**2 + 592148*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244 + 8281990402.\nAnswer: 8281990646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/168 and 13\/63?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 3*d**2 + 2 - d**3 + d**3 - 2*d**3. Let j(a) = 7*a**3 + 7*a**2 - 5. Give 4*j(q) + 10*w(q).\nAnswer: -2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30509, -30510, -30511, -30512, -30513?\n\"Answer: -g - 30508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 9*n**2 - 7*n + 11. Let w be c(-8). What is the highest common factor of 18 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*a = -1. Let w be (a + (-5)\/(-4))*1. What is the smallest value in -2, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 10408064*x - 6770487264256.\nAnswer: -4*(x + 1301008)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*m**4 + 175*m**2 + 88580*m + 1?\nAnswer: -228*m**2 + 350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/45*-1)\/(4\/10).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 120602514 * 0.3\nAnswer: 36180754.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, 5, 3, -3 in decreasing order.\nAnswer: 5, 3, -3, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/24265 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22011211012120 (base 3) to base 13.\nAnswer: b92482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {f: 3, s: 3, o: 8, n: 2}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.8163619 rounded to 1 dp?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 155 = -5*v, 20*m = 18*m - 3*v + 149. Let n = -80 + 12. Let l = m + n. Sort -3, l, -4 in decreasing order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 113 = 4*h - 3*a, 3*h - 284 = -2*a. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14, 30, 48, 68, 90, 114?\n\"Answer: x**2 + 13*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*f = 60*f + 360. What is the highest common divisor of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 42. Let w = -9 - g. Suppose -w*o - 1 = -4*z - 8, z = 2*o - 8. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.355957 minutes to hours.\nAnswer: 0.03926595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d. Calculate a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 25. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.6, 1\/6, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 40 = -5*d. Let z be (d\/(-10))\/(2*1). List the prime factors of 18\/(z*(-2)\/(-4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119845.75285 + -3.827.\nAnswer: -119849.57985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 5*w + w)*((-1 + 5 - 3)*(1 - 3 + 0) + 2 - 2 + 2 + 2 - 2 - 2) to t*w + o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 641, -282, -1821, -3976, -6747, -10134?\nAnswer: -14137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11, 1, 2\/15, -4, -9 in decreasing order.\nAnswer: 11, 1, 2\/15, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 17*r + 48 = 0. Let b(q) = -38*q + 9. Let d(g) = -75*g + 17. Let m(s) = 5*b(s) - 3*d(s). Is 7 a factor of m(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 divided by -129778?\nAnswer: 155\/129778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*d = 4 - 27, 8 = -v - d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 2)*(3 + r - 3) + 12*r - 94 + 94)*(1 - 1 + r**3).\nAnswer: 13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, -4, 4, 20 in descending order.\nAnswer: 20, 4, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 871, 873, 867, 847, 807, 741, 643?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivgivipgggcd. Give prob of sequence ic.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -10 + (1 - -7) - -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 77*c + 2695. Calculate t(-35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19781 from 0.039.\nAnswer: -19780.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 2*v + 1. Let p(h) = -1 + 0 + 4*h**2 + 3*h - h**2. Let l = 7 + -6. Let r be (l - 11)*(-2)\/4. Give r*x(f) + 4*p(f).\nAnswer: 2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s + 3\/4*s**2 + 0 - 3\/4*s**3.\nAnswer: -3*s**2*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, y: 3, t: 6, q: 1}. What is prob of sequence qyyy?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-224))\/((-2)\/(-42))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2.3, -2\/17?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1432700 rounded to the nearest 10000?\nAnswer: -1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + -16?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3858 = -50*j - 23*j + 10888. Solve -207*q = -j*q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -9. Let n(j) = -34*j + 4*j**k + 21*j + 14*j + 7. Is n(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4766 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -11.46. Let h = -0.04 + j. Which is smaller: -0.2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyymyymyy. What is prob of picking 3 m and 1 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 5*y + 5*y)*(3 + 4 - 4) + 9*y + 32*y - y - 2.\nAnswer: 37*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -13 + 3 + 0 + -1 + 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67375951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2253 = -11*r + 2330 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11201002220 + 1122010?\nAnswer: 11202202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/4 + 7*a**4\/12 + 2*a. Find the third derivative of r(d) wrt d.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(425) - (sqrt(425)*2 + sqrt(425)))*5)**2 + ((sqrt(425) - sqrt(425)*-2*-6 - sqrt(425))*-2)**2)*3.\nAnswer: 1244400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8334 + -0.8434. Which is the closest to -2? (a) -5 (b) h (c) 0.003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4751.\nAnswer: 23755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 27291.\nAnswer: -1\/27291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31927 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: Let g = 11 - 18. Let f = 3 + g. Is (29\/2)\/(f\/(-24)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + sqrt(891) + 0 + sqrt(891) + 1 + sqrt(891))**2.\nAnswer: 72*sqrt(11) + 14257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 8\/(3 + (-30)\/18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43766 - -22866. Round r to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**3\/3 - 4*r**2 - 5*r + 1. Suppose 3*d = 4*x - 40, -56*x + 53*x + d + 25 = 0. Calculate t(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 2046 + 2067 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + 0.9. Let f = 22 + -13. Let t be f\/11 + 0 - 1. Sort t, m, -1.\nAnswer: -1, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m - 13*m - 12*m)*(2*m - 4*m + m).\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -696 times -1127\nAnswer: 784392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 - -1.48. Let n = h - -38.92. Let u = -48 + n. Is 0.1 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 9983*s - 9731*s + s**4 - 4*s**2 to u*s + d*s**2 + b*s**4 + k + a*s**3 and give u.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:59 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 3*q**2 + 7*q + 7. Give l(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*2\/8)\/(3672\/(-216))?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*r - 50*r + x - 40, 13*r = -2*x + 77 + 87 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 999932 is divided by 2469?\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -39*p - 276. Let r be f(-8). Let -20*j**4 + 65*j**4 + 82*j**3 - 2*j**5 + 35*j**3 + 111*j**2 + r*j + 5*j**5 = 0. Calculate j.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -11*(-2)\/(-3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2))**(-3\/5)\/((z*z\/((z\/(z*(z*z\/(z**(-1)*z))\/z*z))\/z*z)*z)\/z)**28*(z*z\/z**5*z**(-2)\/z)\/((z\/(z**(-5\/6)*z))\/z*z\/z**(6\/13)) assuming z is positive.\nAnswer: z**(-23141\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2. Let c(z) = -7*z - 1. Let f(j) = -3*j - 1. Let y(a) = 4*c(a) - 9*f(a). Calculate -5*b(n) - 2*y(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 16. Suppose 0 = -2*x - 5*w + 48, 3*x + 20 = v*x - 2*w. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (380\/(-80))\/19*-8. Let q be (2\/(-6))\/((-1)\/3). Let w be q - (1 - (7 + -1)). Solve 0*s - w = -i*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 456 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/362305 and 85\/3188284.\nAnswer: 15941420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.5 and 8503.\nAnswer: -55269.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1348, 1339, 1326, 1309?\nAnswer: 1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5695690235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 - 31.\nAnswer: -32.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**3\/3 + 3*k + 1. Let x be p(0). Let n = -0.1 - -0.3. Which is the nearest to 0? (a) n (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -29 + -11 + 2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -255 divided by 51\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 0*a**4 + 0 + 0*a + 1\/504*a**8 + 1\/45*a**6 + 6*a**2 + 0*a**3 + 4\/315*a**7 + 0*a**5. Solve i(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33165008 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 396977, 793952, 1190921, 1587884?\n\"Answer: -3*z**2 + 396984*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -61*q**8\/28 - q**6\/120 + 185*q**4\/8 - 12*q**2 - 6*q. What is the second derivative of l(f) wrt f?\nAnswer: -14640*f**3 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548526255?\nAnswer: 3, 5, 36568417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 - -687\/5. Let d(g) be the second derivative of g**5\/20 - 5*g**4\/6 - 3*g**2\/2 - 4*g. Let q be d(10). What is the closest to a in -4, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3748662 to the nearest integer?\nAnswer: 1936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24305 - -24307. Suppose -2*m + 2 + 0 = 0. Calculate the remainder when d is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 12*u)*(3 - 9*u**3 - 3 - 14*u**3).\nAnswer: 276*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1cadd3 - 0?\nAnswer: -1cadd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 - -55. What is the third smallest value in 0.5, 0.2, s, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - j = -13, -4*y + 2 = -j - 1. Suppose 2*c - 8 = y. What is the tens digit of (2\/4)\/(c\/110)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*x**3 - 17*x**2 + 733.\nAnswer: 60*x**2 - 34*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4574100 to the nearest integer?\nAnswer: 2139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + a = -24, 21*a - 20*a = -3*u + 84. Sort -5, 6, u in decreasing order.\nAnswer: u, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4 + 1660\/(-80). Let d be (-10)\/(1*4\/f). Find the common denominator of (121\/7)\/(d\/(-35)) and -27\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2)*(-290)\/(-812)*2\/5.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3.8. Let v = -53.48282 + -0.51718. What is the nearest to -2 in -3, v, u, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613421439?\nAnswer: 3, 204473813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1\/78, 9, -0.02, 2\/7, -1\/7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -26*t**2 + 14*t. Let v(c) = 3*c + 283 - 11*c - 315. Let r be v(-5). Let i(a) = r - 9*a**2 - 3 - 5 + 5*a. Give 5*h(p) - 14*i(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 281689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 19, 26, 35?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-5 - 1164\/20)\/((-3)\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 n when three letters picked without replacement from pasppssans.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a1 + 1173d8?\nAnswer: 117689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1312 - 1311.992. Which is the nearest to 0.2? (a) -1\/5 (b) -1\/6 (c) -0.3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (26\/117)\/((-2)\/(-12))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 + h**2 - h. Let r(p) = -5*p**3 - 5*p**2 - 12*p. Let y(b) = -3*l(b) + r(b). Determine v, given that y(v) = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y. Let u(m) = m. Let l(x) = -k(x) + 9*u(x). Let q = 1 + -3. Determine l(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 0, -2, -4 in increasing order.\nAnswer: -23, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10489 by 17.\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.067? (a) -3 (b) 5 (c) 2.6 (d) -0.5 (e) 1\/9 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4230590237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1759?\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3439, -3390, -3307, -3190, -3039, -2854, -2635?\n\"Answer: 17*o**2 - 2*o - 3454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/375)\/(18\/45)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 850111905 and 15.\nAnswer: 850111905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3920 and 260?\nAnswer: 50960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 + 15*f**2 - 66*f + 8. List the prime factors of y(13).\nAnswer: 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 496\/(-126) - (-2)\/(-7) - -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + 2*v - 166. Let k be g(0). Is k < -164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) -1 (c) -7 (d) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 26*h + 5. Let f be a(0). Suppose 240 = f*i + i. What is the remainder when i is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 4*v - 3*v + (-5 - 16 + 3)*(5*v - 4*v - 2*v) + 0*v - 5 - 2*v + v + (-4 + 5 + 2)*(0 + 0 - 2*v) as r*v + h and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 13.2. Which is the smallest value? (a) 0.4 (b) y (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 9:04 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 233555 + -15737. Suppose x = 23*y - 396282. What is y rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3414 + 2?\nAnswer: 3420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98 - -57. Let u = 44791\/289 - o. Let p = u + 29791\/1734. Calculate the common denominator of p and 89\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4 + 740*n**3 - 38235*n**2 - 119810*n - 80840 = 0 for n.\nAnswer: -188, -2, -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268497384 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12102 + -10?\nAnswer: 12032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0*c**4 - 1\/20*c**6 + 0*c**5 - 1\/3*c**3 + 0 + 0*c + 2*c**2. What is the derivative of f(g) wrt g?\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -17. Let l = -6.1 + j. Suppose -7*w - 12 = -w. What is the nearest to l in w, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*m - 182 = 0, 4*h + m = 25 + 158. What is the remainder when 180 is divided by h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1573) - (2 + sqrt(1573) + sqrt(1573))*3) + -2 + (-5 + -2 + sqrt(1573) - sqrt(1573)) + 4)**2*-2.\nAnswer: -1260082 - 25520*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 4*w - 20, -3*v + 71 - 68 = -w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -137*v - 35. Let j be q(-3). Suppose 79 = -9*x + j. Let u = x + 27. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 3:05 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -30*x**2 + 0 - 20*x**3 + 0*x + 5\/6*x**4 - 1\/72*x**5. Suppose p(n) = 0. What is n?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(192) + 1 - sqrt(3)).\nAnswer: -4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3147299 is divided by 3275.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 21221?\nAnswer: -21222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1787 times -54.69?\nAnswer: -97731.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 148, 301, 456, 613?\n\"Answer: s**2 + 150*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, m: 9}. What is prob of picking 2 r and 2 m?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from -143684.\nAnswer: -143684.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 550*y + 2476. What is k(-6)?\nAnswer: -824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - f**2 + 2. Let t be l(2). Find the second derivative of -h**3 + t*h**3 - 5*h - 2*h**3 wrt h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/(2\/120). Let m be (15\/f)\/((-1)\/(-218)). Suppose -2*u = 2*u - 3*x - m, -4*x - 104 = -4*u. Solve 4*b - h = 2*h - u, -19 = b - 3*h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25\/2 of a minute?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 9*x + 12. Let z be d(7). Suppose -z = -2*b + 13. Suppose -3*o + 6*o - b = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 + 114*i + 49 - 4*i + 3*i - 2*i - 5*i + 3*i + 0*i + (-3*i + 0*i + i)*(6 - 2 - 2) - 2*i + 5*i - 4*i to n + q*i and give q.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2*c + 3*c - 12, -4*c + 3*v = -21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 9. Let c be l(6). Let k be 32\/(-12) + (-2)\/(-3). Sort k, 5, c.\nAnswer: c, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/3, -45 in ascending order.\nAnswer: -45, -4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 144, 157, 194, 267, 388, 569, 822, 1159?\n\"Answer: 2*y**3 - y + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 191972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 254*t**2 - 28*t. Does 49 divide u(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1, 0.4, -5, 1450?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1217571734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -272.9 - -273. Which is the nearest to 0.16? (a) -5 (b) -3\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/233 in 0.01, 1\/12, 2\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 175 - 55*a**2 - 28160*a + 14044*a + 14065*a. What is l(-54)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 7*w**2 - 6*w + 4. Let c be v(6). Suppose 0 = c*p - 33 + 5. Solve p - 16 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -190?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12375, 24667, 36955, 49239?\nAnswer: 61519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -13. Put -2, -6, c in increasing order.\nAnswer: -6, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h**3 + 24*h**2 - 22*h + 2. Let w(o) = 19*o**3 - 72*o**2 + 67*o - 7. Let l(u) = -7*p(u) - 2*w(u). Solve l(j) = 0 for j.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 120, 4 in descending order.\nAnswer: 120, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10037.524 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5*d*d*(d**(3\/2)\/d)\/d*d*d)\/((d**5*d)\/(d\/(d**(3\/8)\/d)))*(d*d\/d**(-1\/2)*d)**(-19\/4)\/(d**2)**(-30) assuming d is positive.\nAnswer: d**(95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**3*c)*c**(1\/9) assuming c is positive.\nAnswer: c**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -269417 and -2?\nAnswer: 538834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 17437*a + 11966*a + 7574*a as o + n*a and give n.\nAnswer: 36977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12222202010100 (base 3) in base 6?\nAnswer: 152123013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3353*x + 18977. Determine w(6).\nAnswer: -1141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18195556 or -27?\nAnswer: 18195556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.2964 - -0.034.\nAnswer: 4.3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-7) - 130\/(-210). Put -1, 0, t in ascending order.\nAnswer: -1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112850863 is divided by 6162.\nAnswer: 6157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/12)\/((-3)\/(-783)). Suppose -60 = -3*c - 3*u, -4*u + u = -4*c + p. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + (-5 - -1) - 1*2. Which is the closest to l? (a) -0.1 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51573, 103138, 154703, 206268, 257833?\nAnswer: 309398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 818564.6l?\nAnswer: 818564600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450941 and 1591.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tunu when four letters picked without replacement from {u: 3, t: 5, a: 2, n: 10}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**2\/5 + 277083*v\/5 - 9140472\/5 = 0.\nAnswer: 33, 92328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -39\/112195?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 2:51 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 + 9*p**2 + 57*p**2 - 12*p**2.\nAnswer: 67*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**5\/60 + 11*v**4\/24 - v**3 - 2*v**2. Let x be q(8). Let s = x + -14. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**12\/(n\/(n*n*n**(9\/8))) assuming n is positive.\nAnswer: n**(113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*p - 144, -5*t = -55*p + 51*p - 211. Put -5, 46, t, 0, 2 in increasing order.\nAnswer: -5, 0, 2, t, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/(((-44)\/3355)\/((-12)\/30)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4371)\/(-235) - 19)\/((-8)\/(-10)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 34.80343 and -2282.\nAnswer: -2247.19657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 3*z, z - 7 + 8 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -227589.9712183 - -227590. Round x to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7527 - -7541. Solve 0 = 4*n - 52*p + 55*p + 22, 5*n - 3*p + u = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 - 5 - 40)*(-w + w**2 + w) + 17 + 5*w**2 - 17 + (w - 5*w + 3*w)*(6*w - 2*w - 3*w) - 3*w + 3*w + 2*w**2 as i*w**2 + j*w + b and give i.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -377 - 397. Let v = 137 + h. Solve 2*j + v = 2*l, j = -3*j - 3*l - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/30*2\/2*35\/14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z + 60. Let r be d(-13). Let i(t) = -4*t**2 + 14*t - 13. Let a(c) = -6*c**2 + 21*c - 20. Let y(g) = r*a(g) + 8*i(g). Calculate y(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -2\/9, -2, 3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -463, -471, -479, -487, -495?\n\"Answer: -8*y - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1636734402 + 0?\nAnswer: -1636734402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + -13. Let v = 58 + u. What is w in w**2 - 19*w - 3*w**2 + v*w = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = c + 55, 2*c - 11 = -p - 0*p. What is the lowest common multiple of 23 and p?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31463 is divided by 414.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1 = 26. Let r(a) = -a**3 - 5*a**2 - a - 4. Let o be r(c). Is -2\/55 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110988 + 167767. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a - 4*a + 3*a - 827*a**3 + 825*a**3 + 34*a**4 in the form k*a**3 + c + f*a**2 + r*a**4 + g*a and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.5 (b) -0.2 (c) 30 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -5*j + 96 - 121, -3*j = -2*o + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11467747597.00000026 - 11467747701. Let o = c - -104. What is o rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + a)*(-1 + 2 + 0) + 3*a + 1 - 1 + 11 - 17 - 11 - 29*a.\nAnswer: -25*a - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, u: 1, h: 1, s: 1, w: 1}. What is prob of picking 1 h and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 724074725 to the nearest integer?\nAnswer: 26909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 8*q**2 - 21*q - 1. What is l(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 1, v: 2, h: 1}. What is prob of sequence vt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 114437 - 178278598.\nAnswer: -178164161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 18*y**2 + 32*y - 7. List the prime factors of k(20).\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 634*o**2 - 4112*o wrt o.\nAnswer: 1268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 17, 44, 83, 134, 197?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -32036, -32054, -32072, -32090, -32108, -32126?\n\"Answer: -18*j - 32018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19870243 + a + 19870243.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 2*c - 58, -5*m + 5*c = -0 + 110 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454*v + 10516876 = 4*v - 12772882. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:04 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -8. Suppose 3*t + 3 + 3 = 3*c, 3*c - 4*t = i. Suppose 2*u + z - 18 = 0, 3*z + 5 = c*u - 13. Solve -5*o - 5*p = 15, 2*o - 4*p + u = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19262634 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + 2*x**2 + x**4 + (0*x + 0*x + x)*(0 + x**2 + 0)*(12 - 12 + 49*x) as m*x**2 + z*x**4 + l*x**3 + w + q*x and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 12:23 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 866239\/38 and 22797 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 4. Let f be o(3). Suppose -4*q + 39 = 3*p, 0 = -4*p - f + 6. What is the remainder when q is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 869834?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395, -435, -509, -617, -759, -935, -1145?\nAnswer: -1389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22 and 426589.\nAnswer: 426611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 735 and 11445.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.39 - -125.26638?\nAnswer: 30.87638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 272\/12*3\/2. Suppose 0 = -h - h + y. Calculate the highest common divisor of h and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5805, 11612, 17419, 23226, 29033, 34840?\n\"Answer: 5807*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19\/5 - 157\/40. Let g be (5*1 + (-41 - -37))\/(-3). Suppose 0 = -m + 2*o + 1, -5*m - o + 2*o + 23 = 0. What is the closest to 0.1 in i, g, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*v = 69, -3*v + 0 + 28 = o. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*d, 5*h - 6*d - 1512 = -4*d. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122*a**3 + 5*a*j - 606*j + 2 with respect to a.\nAnswer: -366*a**2 + 5*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -762*u**3 + 0 - 118*u**3 + 8*u**3 - 1.\nAnswer: -872*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 440 - 248. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j = -425. List the prime factors of j.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**6\/6 - 5*j**3\/3 + 17*j. Find the second derivative of p(l) wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7471622 is divided by 72540.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (3 - (-251)\/(-5))\/((-24)\/1860)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 425466633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(1200) + sqrt(588) + sqrt(588)*-1 + sqrt(12) + sqrt(300) + 0 + sqrt(12))**2.\nAnswer: 408*sqrt(3) + 3504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*a + 0*a + 106 = 0, 0 = 5*w + 3*a - 176. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62 - -56) + 8 + 4)*(-24)\/20?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, z: 3}. What is prob of sequence ddzz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2818 - 374.2818. Which is the nearest to q? (a) 2 (b) 0.4 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 2*l**2 - 2*l. Let g be j(2). Solve -g = -2*d + 5*h, -2*d - 5*h = 8 - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/5 and 65\/73587?\nAnswer: 367935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79.45 + -80. Let p = q - 35.45. Which is the biggest value? (a) p (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voh when three letters picked without replacement from voovvovhcvoovhocov?\nAnswer: 49\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16515 divided by 5505?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 320*n - 318*n + 18 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31352702?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 696.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 183320*u**2.\nAnswer: -5*u**2*(u - 36664)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -79*h - 306. Suppose 0 = -4*y + 2*y + 8. Suppose 0 = j - y*j + 18. What is the remainder when g(-4) is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89622399 to the nearest integer?\nAnswer: 9467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43685\/11044 + 1\/1004. Calculate the common denominator of m and 43\/296.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -831*o + 1363. What is the thousands digit of k(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*t**2 - 29*t + 29*t + 3*t**2 - t**2 - t**2 + (5*t - 3*t - 3*t)*(-3*t + 2*t + 3*t).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*r = -114*r - 2124. Let o(u) = -2*u**2 - 3*u + 7. Determine o(r).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67370 is divided by 11221?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 290024513 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, 0.06, 0 in increasing order.\nAnswer: 0, 0.06, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**5\/10 + 5*s**4\/12 + s**3\/2 - s - 373. Let w(f) be the second derivative of f**5\/20 + f**3\/6 + 2*f. Give g(h) - 3*w(h).\nAnswer: -h**3 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:45 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, i: 1, k: 3}. Give prob of picking 1 k and 3 d.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**5 - 102*a**4 - 590*a**3 - 170*a**2 + 594*a + 272 = 0. Calculate a.\nAnswer: -17, -8, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13634295, 13634271, 13634247, 13634223?\n\"Answer: -24*k + 13634319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4\/16 - 479\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1846)\/(-117) + 4\/18. Let j be 0\/(((-4)\/t)\/((-5)\/(-20))). Solve 0 = -5*y + 4*c - 40, 4*c + j*c = 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/6204 and 109\/4620.\nAnswer: 217140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 63 = -2*f, 11*f + 3*j = 6*f + 105. What is the smallest common multiple of 192 and f?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f + 2 = -22*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -167.00182 - -167. Round i to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5*g + 13*g + 14 + 3*g + 26 in the form j + a*g and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/137 and 3150388 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -44. What is the highest common factor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -4*k - 5*w, 2*w - 55 = -3*k + 7. What is the smallest common multiple of 27 and k?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 22. Find the common denominator of 87\/10 and (-52)\/(-36) + g\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -24*h**3 + 433*h**2 - 26*h + 168. Calculate k(18).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*b + 151*b = -152*b + 44, -5*b = 4*t - 102 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1616\/3965 - -6\/793. Which is the closest to s? (a) -4 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 330 = 2*p - 2*d, -4*p - 4*d = -700. What is the greatest common factor of p and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234, -178, 470, 2004, 4718, 8906, 14862?\nAnswer: 22880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - -1 - -13) + -23.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 331229118\/7 or 47318444?\nAnswer: 331229118\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + z - 5. Let b be q(-3). Let c be 50\/5*-2*(305001 - b). What is c rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -98734, -97456, -96178?\n\"Answer: 1278*d - 100012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4 - 54\/(-44))\/(-1) and (-4)\/3 + 614\/96.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.847 + -19.847. Let r be (8\/(-20))\/(57\/15). What is the closest to r in -2\/7, 6, -1, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 48 = -123*y + 218. Solve i = -y*r + r + 2, -2*i + 6*r = -20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -1 (b) 1\/2 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -25, 0*u - 3*q = -5*u - 30. Suppose f + v + 60 = -34, 0 = 2*v + 6. What is the common denominator of u\/(-6)*1*f and -87\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 14*w + 2487. Determine c(39).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 2079866.\nAnswer: 4159732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -113 in -27, -5, -2\/11, -3, -3\/5?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314500 rounded to the nearest 10000?\nAnswer: -1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92640 by -11580.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from {b: 1, a: 4, n: 3, y: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341541 (base 7) to base 11.\nAnswer: -4161a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 99 + 24*g**2 + 2*g**4 + 36*g - 44\/3*g**3. Find r such that i(r) = 0.\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3704*y**2 - 4437 + 4437.\nAnswer: -3704*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 3. Give u(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*o + 24 = 5*q, 0 = 4*o - 16. Suppose 3*u + 3*d + 5 = 2, -4*d - 22 = -q*u. Calculate the remainder when 28 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*g + 35, 3*g - 5*w - 50 = -2*g. Suppose g*u - 10 = 0, -4*b = -4*u - 0*u. Solve 0*x = -b*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 592051*y**2 + 87630208567*y + 262895954187.\nAnswer: (y - 296027)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 0 + 8\/2. Suppose 3*v = -l - 4*l + 3, m*v + 2*l = 18. Let f(h) = 2*h - 6. Let c be f(4). Solve -c*g = 6, a - 4*a + g = -v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*q = 0, 208*q + 3 = s + 210*q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*s + 5*k + 17, s + k + 3 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.06, -62\/13, 3, 0.1 in descending order.\nAnswer: 3, 2\/9, 0.1, 0.06, -62\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.225335 * -1.9\nAnswer: -2.3281365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**3 - m**2 + 5*m - 5. Let h be n(1). Solve 45 = -0*i + 5*i - 4*y, -h*y = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259684789 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -40 - (-10 + 10 + -18) - 7\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 + 32*c - 133. Let y be k(4). Is 227\/3 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -25. Which is smaller: 14 or l?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 17 = 3*t, 0 = 4*t - 2*d + 3*d - 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(80) + -2)**2*4*3.\nAnswer: -96*sqrt(5) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 13*d**3 + d**2 - d. Let h(m) = 68*m**3 + 3116*m**2 + 808075*m + 804972. Let l(k) = h(k) - 5*r(k). Factor l(y).\nAnswer: 3*(y + 1)*(y + 518)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.229? (a) -1123 (b) 3\/4 (c) -4 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4164 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/7 (b) -20 (c) -4 (d) 0.3 (e) 2952\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/4)\/i*i*i)**31*(i*i**14)\/i*i*i*i**10 assuming i is positive.\nAnswer: i**(321\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3 - 2 - 1 + 2 - 1 + 3 - 1 + (3 - 4 + 0)*(-4 + 2 + 1) - 3 + 0 + 4 - 2 + 2 + 1)*(-71804 + 2696*w**3 + 71804).\nAnswer: 2696*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from qrgrgrrg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 2 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a decade in months?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 259370447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 556*z + 8 = 0, -2*k + 5*z - 91 = -107 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (-5)\/((-5)\/4). Sort a, 0.1, -4 in decreasing order.\nAnswer: a, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-703*m + 113*m - 1042*m + 66*m)*(1 - 14*m + 4*m + 3*m) in the form z*m + g + w*m**2 and give z.\nAnswer: -1566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/369 in -1\/3, 1\/2, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1, 0.1, 0.2, 48 in increasing order.\nAnswer: -1, -2\/9, 0.1, 0.2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7 = -11. Let l = 15 + a. Let z(s) = -73*s - 6. Let v(f) = 97*f + 7. Let p(u) = -3*v(u) - 4*z(u). Calculate p(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000416 to 6 decimal places.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -22*x - 22. Let s(h) = -7 + 4*h - 20*h + 9*h. Calculate -5*o(a) + 16*s(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(128) + -1 + sqrt(128) + 4) + 2 - ((sqrt(112)\/(-2*sqrt(7)))\/(2*sqrt(40)\/sqrt(5)))**2.\nAnswer: 111\/8 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*-5*-5*-4*(2 + sqrt(320) + 1)**2 + -2.\nAnswer: -197402 - 28800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 29754.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, b: 1, d: 2, q: 2, z: 1, w: 1}. Give prob of picking 1 d and 1 l.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 50*s = -84*s - 695. Which is the closest to -0.2? (a) -5\/7 (b) 3 (c) -0.2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24918*y - 3*g = 24915*y + 24, -2*y + 0*g + g = -5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -245496 + 2454959\/10. Let x be 0 + 1 - 32\/5. Let d = x + 361\/65. Which is the closest to 0.2? (a) t (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13574 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 329?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8229 + -8208. Let a(i) = i - 1. Let s be a(-3). Let b = 10 + s. Calculate the remainder when m is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 11) to base 13\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 286103*p + 1430405. Determine x(-5).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 - 28?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/11 and 1\/22128?\nAnswer: 243408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 60*g**2 - 64*g.\nAnswer: 4*g*(g - 16)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4136 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/7792 and 71\/72?\nAnswer: 70128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5326 - -5330. Put -571, -3, u in decreasing order.\nAnswer: u, -3, -571","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 4*z**7\/7 + z**3 - 5. Find the third derivative of x(g) wrt g.\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 4*a**2 + 4184609*a**3 - 4184724*a**3 + 6*a**2.\nAnswer: -115*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 24. Suppose 2*b + o = 3*f, b + 2*f - 27 = -2*f. Calculate the smallest common multiple of b and (-13)\/(-2) - 3\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 717085 + -82287?\nAnswer: 634798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -635*g**3 - 1 + 4*g - 633*g**3 + 1269*g**3 as f*g**3 + n*g + p + r*g**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, w: 1, i: 3, q: 1, h: 5, l: 3}. What is prob of sequence wxi?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 64, 128, 192?\n\"Answer: 64*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + (-2 - -5 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (-19)\/(-5))*(11 - 16). Sort -17, h, -13 in decreasing order.\nAnswer: h, -13, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggqggggggqiigggggggi. Give prob of picking 3 i and 1 q.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -96008?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 - 118 = -39*o - 45 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -448.5 + 448. Let g = 13 - 9. Let j = 4 - g. Which is the third biggest value? (a) -3 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -17. Let u = k + -12.12. Let m = 0.3 + u. What is m rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r + 1. What is u(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 90\/(-12)*(-4)\/10. What is the second smallest value in 2.2, x, 6\/5, 7?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 11. Suppose 2*s + 18 = 6. Let r be (-2)\/s - (0 - -1). Which is bigger: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*o - 3. Suppose -3*k + 11 = -n + o, -5*k + 17 = 2*n. What is the remainder when (-20)\/(-11) + 22\/121 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0907 minus 52.913109098?\nAnswer: -53.003809098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -44190 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*g - 23 + 23)*(146*g - 3 - 140*g - 1) to h*g + m*g**2 + s and give h.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -710810043, -1421620086, -2132430129, -2843240172?\nAnswer: -3554050215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/25)\/(2\/(-5)). Differentiate 3*q**3 + 5 - m - 3 with respect to q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.56928452 to 3 decimal places.\nAnswer: -2.569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13873756 (base 9) to base 12\nAnswer: -2388180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*10\/4*12\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8208340 and 560?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 5:58 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 5*j**2 - 4*j + 3. Let x be o(6). Let n = x - 4. Let a(f) = 2*f**2 - 5*f + 6. What is the remainder when a(5) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143396237 is divided by 1730?\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6944 and 30256.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*n + n - 120, 5*u - 15 = 0. Suppose -4*x + n = 2*o, -o - 3*x + 23 = -0*x. Calculate the remainder when 40 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 6*u**2 + 2*u + 14. Suppose -6 = 4*m + 18. Let w be l(m). Solve -10 = -4*c - 2*v + w, -v = -c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z = 114 - 26 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2 - 221*g - 2095. Calculate n(-62).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -11*w + 6. Give h(5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -24b (base 12) to base 3\nAnswer: -110212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 895, 3480, 7771, 13762, 21447, 30820?\nAnswer: 41875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12329537\/216 - 57081. What is the common denominator of 11\/3 and d?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.45 - 0.55. What is the closest to -1\/3 in t, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 29 - 2 = 0. Let l = -4 + 8. Suppose 0 = l*w - k*w + 60. What is the greatest common factor of 132 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 699795 and 3405.\nAnswer: 158853465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3349500 rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20, -11.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3\/v)**21*v**(-8\/3)\/((v\/v**23)\/v))**(2\/25) assuming v is positive.\nAnswer: v**(374\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1 - 5 - 13 + 3 + 9*s. Let c be r(4). Suppose 5*u = -c, 4*i = u + 725 - 173. What are the prime factors of i?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*30*(-12)\/(-30)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = w - 0*w - x, -x = -3*w - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -14, 0, -5\/21 in descending order.\nAnswer: 0, -5\/21, -14, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2637 - 316*f - 1315 - 1322.\nAnswer: -316*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(209) + (sqrt(209) + sqrt(209) + (sqrt(209) - sqrt(209)*-3)*4 - sqrt(209)))*-3)\/(-1*sqrt(1100)*2*4).\nAnswer: -27*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 731493*h + 1 - 731630*h.\nAnswer: -137*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -271165 + 2*j**2 + 271165. Let l(n) = 2*n**2 - 20. Calculate r(l(c)).\nAnswer: 8*c**4 - 160*c**2 + 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-64) + (-1521)\/(-8). Let w = 190 - u. Are w and -1\/61 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8*k = -20. Let a = -0.2 + -0.8. What is the closest to 0.1 in a, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12140972?\nAnswer: 2, 769, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 4*r - 0*r + 3*l, -5*r - 5*l = 120. Let s = 30 + r. Suppose -n + 9 = z, 6*n = n - 20. Solve 5*b + z = -s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:49 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -n - 2. What is the tens digit of (-129)\/(-12) + (-1)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1406160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 623*k**2 + 4*k - 4. Is z(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664 = -2*v + 6*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 12 - 3. What is the remainder when p is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-22)\/(-8) + (-60947427)\/(-1388).\nAnswer: 43913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 3761 - 3686 + 7675.\nAnswer: 4*m + 228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 9*r**2 + 22*r + 196. Let v be a(-9). Let f(i) = -4*i**3 + 2*i**2 - i. What is f(v)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110101011110101001011 (base 2) to base 3\nAnswer: -10022000211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3154285, 3154284, 3154283?\nAnswer: 3154282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 10*q - 4322 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 2 - 1344*s**2 - 1341*s**2 - 2*s**4 + 4*s + 2686*s**2 to l*s**4 + k + i*s**2 + c*s + n*s**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 7 + 1 = 4*z + 3*u, 111*z - 106*z - 4*u = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -8. Let y = -182 - -205. What is the remainder when y is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 89?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*g**3 - 324*g**3 + 655*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1107307*h + 553434*h + 553804*h.\nAnswer: -69*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4190736265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/2)*s)\/(s*s**1)*((s**(-2\/3)\/s)\/s)**(-4\/23) assuming s is positive.\nAnswer: s**(-143\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25 - 16) + (-2 - -15) + 3. Let w(l) be the second derivative of 0*l**4 + 15*l**2 - a*l + 1\/4*l**5 - 35\/6*l**3 + 0. Factor w(b).\nAnswer: 5*(b - 2)*(b - 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-153)\/(-510)*230*1\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i - 14. Let w be y(-6). Suppose -11*g - 7 = -w*g. Let m = -0.39 + -0.01. Which is the closest to g? (a) 4 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 0.4 (c) 0 (d) 9.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222539296.\nAnswer: 2, 7, 993479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 626*(2\/(-10) + 2\/11). Let o = k - -56\/5. What is the closest to 2 in 3\/4, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9897.938 weeks to days.\nAnswer: 69285.566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v - 49. Determine u(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(10\/3)*a)\/a**(4\/3) assuming a is positive.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4589968 (base 11) in base 6?\nAnswer: -443533453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1228 + -1225. Solve f*r = 7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:38 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**3 + 2*d + 1. Let m be q(-1). Let z = 6 + m. Solve z*t + 2 = 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -43\/5. Suppose 39 + 31 = 2*j. Suppose -j = -11*a + 20. What is the nearest to -1 in p, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.062 + -0.142. Let c = a - -0.08. Let m = 8 - c. Sort m, -3, -3\/7 in ascending order.\nAnswer: -3, -3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/8 + (-6)\/24. Let u = -17 - -24. Calculate the greatest common factor of r and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2892 and 53441991?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27218.94 * 2.\nAnswer: 54437.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39478048 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 21. Let y be b(-1). Calculate the greatest common factor of 4906 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159*p**2*r**3 - 2*p**2*r**2 - 18*p*r**2 - 3*r**2 wrt r.\nAnswer: -954*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6393 + -6323. Suppose -5*l - 42 = -17. Put -2, p, l in decreasing order.\nAnswer: p, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/4 - 46703215*n\/2 + 2181190291336225\/4 = 0. What is n?\nAnswer: 46703215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 - -118. Suppose 9 = -v*t, 0*k + 4*k + 15 = -5*t. Suppose k = 13*s - 18*s + 10. Solve u + 1 = x, -u = 5*x - 3*x - s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 11*z + 1. Let k be o(1). Suppose -3*p + n = -k, -3*n + 2 = -p + 6. Suppose -w + p - 3 = 0. Solve 0 = -3*v - w + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -112944.\nAnswer: 1\/28236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 2:54 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 21127 = -3*n - 21101, 4*u - 10 = -15*n + 22 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 3*m**2 + 6. Calculate w(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + (1 + sqrt(432))*-2 + 3 - (5 + sqrt(60)\/sqrt(5) - (3 + sqrt(12)*2))**2.\nAnswer: -15 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -100 in 5, -0.2, 3, -0.58, 7\/3, -0.1?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124679016 divided by 134934.\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2914 + -55368\/19. Sort -2\/5, 2, 2\/11, h, -1.8 in decreasing order.\nAnswer: 2, 2\/11, h, -2\/5, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 4*y - 771*y**2 + 1653*y**2 - 111*y**2 - 772*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41457 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-28) + -1 + 0. Let j = -5504\/5 + 5502\/5. Let f be 4\/2*4\/(-7). Put j, f, v in decreasing order.\nAnswer: v, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1362325 to the nearest one thousand.\nAnswer: 1362000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -933865 and -174130.\nAnswer: -1107995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -560, -1542, -2522, -3500, -4476, -5450, -6422?\nAnswer: -7392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6520?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -51 + 16 + 20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 300623 divided by -36\nAnswer: -300623\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from tttxhchxhhohhtjtx.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 383355331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z - 272 = 35*z. Let a = 131 - z. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 121\/9 - 22\/3*v + v**2 = 0. What is v?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19627839 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 9 - 211*v**2 + 218*v**2 + 193*v**2 as z + g*v**2 + c*v and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01383 + -9.01383. Suppose -4*k + 40 = -6*t + 2*t, 2*t = 0. Is k > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15812 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -2\/17, -0.19, 1, -4 in increasing order.\nAnswer: -4, -0.19, -2\/17, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 1 + (2 + 0 - 3)*(2 + 1 - 1) - 9 - 13 + 7)*(-2*z - 3*z + 4*z)*(-15 - 2 + 9) to the form u + a*z and give a.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1631.731 tonnes?\nAnswer: 1631731000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f + 15. Let b be (161\/f)\/(-7)*-600. Suppose -3*u = -8*u - b. What is u rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 22, -490, -0.3, -63, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239805 + 528.8.\nAnswer: 240333.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 65. What is the fourth smallest value in -3\/2, -0.1, v, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsvsvsvv. What is prob of sequence svs?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 232001261.899999568 + -232001260. Let v = -1.9 + t. Round v to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (52\/8 + -6)\/(2\/520)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 413 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 15591 = -3*o - 3126, -5*n + 2*o = -62206. List the prime factors of n.\nAnswer: 2, 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -465163\/387 - -10819\/9. Let v(z) = z + 1. Let h be v(-3). Let q be (h - -4)*2\/4. Which is greater: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35884 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 + 41 - 19)*(-3*b + 1 + 0 + b)*(-b**2 - 2*b**2 + 0*b**2) to the form d + h*b**2 + n*b**3 + o*b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 6. Let h be q(10). Let y(i) = -3*i - 3*i**2 - 2*i**2 + 4 - i**2 + 7*i**2. Determine y(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r - 297 = -17*r + 90*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1357 divided by -19?\nAnswer: 1357\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 19*o + 5. Let i be n(-11). Let a = i - -676. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {b: 11, p: 1, x: 1}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -8, -5, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 2\/3*c**3 - 4*c**2 + 8*c - 38. Solve o(u) = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 8*n - 4. Solve 5*p = -n*p - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*u - 1894210 + 9177546 = -1516000. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480560 a multiple of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*((0 + sqrt(68)*3 - sqrt(68)) + sqrt(68)) + 2.\nAnswer: 2 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1629, 3254, 4893, 6552, 8237, 9954, 11709, 13508?\n\"Answer: s**3 + s**2 + 1615*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 104948850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 5, 0, 8, -4, -1, -2.\nAnswer: -18, -4, -2, -1, 0, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 2359230644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7688 + 7687. Let m(r) = 13*r**3 + 4 - 12*r**3 - r - 3 - r**2. Let w(t) = -2 + 3 - t - t**2 + 0*t**2. Determine x*w(o) + m(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -5. Let n be 1\/(-1)*0\/z. Solve n*h + 3 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) -0.1 (b) 0 (c) 0.1 (d) -1\/886\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/5))**(-18)*h*h*h**(-6)*h**(-10))**(-3) assuming h is positive.\nAnswer: h**(264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 65\/15 + -4 - (-1114)\/6. Calculate the greatest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 57 = 5*l, 4*l + 10154 - 10116 = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3312105 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + -3 + 8\/2. What is w in 3*w**2 + w + 2*w**3 + w**3 - 6*w**2 - f*w = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27\/4 + -197\/28. Let d = 76218\/103 - 740. Let z = d + -200\/309. Which is the second smallest value? (a) r (b) 3\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*f + 3072 = -7128 for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x**(1\/13)*x))\/x*x)**(-1\/18)*x**3\/x**(-13) assuming x is positive.\nAnswer: x**(622\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 2. Calculate t(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*f - 1. Let n = 1388\/9 - 154. Put 3\/4, f, n in decreasing order.\nAnswer: f, 3\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -394 - -379 - (3 - 36)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 32*d + 2071\/4.\nAnswer: (d - 109)*(d - 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**5\/5 + 4*k**4 - 26*k**3\/5 - 56*k**2 + 928*k\/5 - 128 = 0.\nAnswer: -4, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*k - 15, 0 = 4*r + 4*k - 42 + 2. Let w = 67 - 67. Suppose w*j = r*j + j. Solve -4*n + 0*n = j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -11*z**3 + z**2 + 2*z + 32. Let j(p) = -19*p**3 + p**2 + 5*p + 65. Give -4*j(h) + 7*l(h).\nAnswer: -h**3 + 3*h**2 - 6*h - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.49 - 10.81. Let s = -22.127456 - -9.827358. Let j = s - d. Round j to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3026377 is divided by 975?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257500?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 21*p**2. Let j(y) = -12*y. What is j(d(b))?\nAnswer: -252*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 20*s**3 - 110*s**2 + 35*s - 11. Let y(h) = h**3 + h - 1. Let k(f) = -2*r(f) + 22*y(f). Determine o so that k(o) = 0.\nAnswer: 0, 2\/9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*w**2 - 4*w**3 + 4*w**3 + 138*w**6 + 27*w**6 - 18*w**2 wrt w?\nAnswer: 19800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 30*n**2 - 16*n - 51. Calculate the remainder when o(29) is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w**2. Let u(g) = 3*g**2 + 1. Determine 3*a(o) - 7*u(o).\nAnswer: 3*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -45. Let u(j) be the first derivative of j**4\/4 + 3*j**3 + 5*j**2\/2 - 8*j + 1. Is u(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (1 - (5 - 1)) + (-344 - -346) + 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 9172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -766, -1545, -2328, -3115, -3906, -4701, -5500?\n\"Answer: -2*y**2 - 773*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 705476, 705471, 705456, 705425, 705372, 705291?\nAnswer: 705176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -313428 or -313462?\nAnswer: -313428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 22. Let f be 165\/10*a\/(-6). Which is bigger: f or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7910 divided by 181\nAnswer: 7910\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-28) - 11\/20. Let p(d) be the second derivative of 0*d**3 - 4\/21*d**7 - 7\/15*d**6 + 1\/6*d**4 + 0*d**2 - g*d**5 + 0 + 2*d. Solve p(v) = 0 for v.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306504?\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 217, 465, 827, 1303, 1893, 2597?\nAnswer: 3415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-6 - (7 - (-18 - -25) - -15))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(1 + (-1 - -1)). Let t(w) = w**2 - 7*w + 5. Let y be t(6). Let p = y - c. Let z(d) = d**2 + 2*d - 1. What is z(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 23. Does 3 divide 14\/5 + 4\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12)*(-28 + 4)\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1, 4, 9, 831 in descending order.\nAnswer: 831, 16, 9, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1862842 to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwsw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -58*s**2 - s + 1. Let c be b(-1). Let u be c\/(-2) + -1 + -2. Suppose 3*l - 44 = -5*r, -4*l = 5*r - 37 - u. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9 + 11*q**2 + 5 + q**3 - 14*q**2. Give v(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2\/3 + 3123361*m\/3 + 7287826 = 0.\nAnswer: -3123354, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s + 23. Let x be u(4). Suppose 0 = 5*b + 8*r - x*r - 465, 15 = 3*r. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-198)\/231)\/(4\/(-14)). Put u, 2\/3, -3, -256 in increasing order.\nAnswer: -256, -3, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75186, -75359, -75530, -75699, -75866?\nAnswer: -76031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(0*k + 1035 - 3*k + 5*k - 790).\nAnswer: 2*k + 245","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 148, -4, 2, -1.\nAnswer: -4, -3, -1, 2, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -96 * -0.2\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1703, 3407, 5111, 6815, 8519?\n\"Answer: 1704*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0 + 1\/3*d**3 + 9*d**2 + 0*d + 0*d**4 - 1\/60*d**5. Let u(t) be the first derivative of x(t). Let y(i) = 9*i**2. Give u(y(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + a**2 - a + 55. Let u(c) = -c**2 + 5*c. Let b be u(5). Is j(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*q**2*z**2 - 50485*q**2*z - 185*q**2 - 4748*q*z**2 + 2*q + 323*z**2 wrt z?\nAnswer: 90*q**2 - 9496*q + 646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2975087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4*(-3)\/(-24)*2 + 372?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -258 + 303.5. Let o = c + 14. What is o rounded to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5948*b - 5968*b + 17883*b + 1 - 5970*b.\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 1\/3*d**3 + 1\/12*d**4 + 0*d + 7*d**2 + 0. Give m(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182212341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 13) to base 7.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -1.1. Which is the nearest to y? (a) 0.3 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -1\/4*q**5 + 1 + 0*q**2 - 750*q**3 + 31*q + 25*q**4. Factor l(j).\nAnswer: -5*j*(j - 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + -0.4.\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754536 greater than 1755102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c - 14*c + 1675. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**(4\/11)\/l)\/l))\/l**(-30)*(l*((l\/(l*l**(14\/9)))\/l)\/l*l)\/(l\/l**(-5\/4)))**(1\/29) assuming l is positive.\nAnswer: l**(11417\/11484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17412, -17380, -17334, -17274, -17200, -17112, -17010?\nAnswer: -16894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5448915 and 4275?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -1. Let q(m) = -2*m. Suppose -5*n = -2*n - 3. Suppose -3*g + 8 = g. Suppose -x + 3 = g. Determine n*q(s) + x*u(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -25. Solve 6*b = m*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 2941, 4 in ascending order.\nAnswer: -5, 4, 5, 2941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742755 is divided by 5468.\nAnswer: 4575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*r - 26, -4*r - 24 = -v - 3*r. Let n = -219.7 - -220. Which is the biggest value? (a) -4 (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 51, 50, 49, 48, 47?\n\"Answer: -x + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31435 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -545 + 24*s + 545 + 3*s - s + 0*s + 4*s - 3*s - 2*s - s + 1 - 1 + (-3 + 3 + s)*(-4 + 1 + 1) in the form w*s + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -578 + 2*q - 1131*q**2 - 4*q - 2133*q**2 + 2639 wrt q.\nAnswer: -6528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 4*f**2 - f - 1. Let c be n(4). Suppose 0 = -1903*r + 1848*r. Put c, -9, r in increasing order.\nAnswer: -9, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 120, 1017, 3450, 8187, 15996?\n\"Answer: 128*u**3 + u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 7*h - 7. Let q be o(-5). Suppose 5*p + 15 = 0, -5*v + q + 1 = 2*p. Solve v = -2*d + 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138150\/(-1800) + (95 - 16).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247198079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 498926, 997819, 1496710, 1995599, 2494486?\nAnswer: 2993371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9543 + -9538. Solve -2*i = 4*w - 10, -4*w - j*i = -6*i + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from {l: 4, c: 8, g: 1, r: 1, t: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -10*y - 3 + 4 + 11*y. Let s(h) = -3*h - 2. Let q(b) = 2*l(b) + s(b). Let x(o) = 5*o**2. Give q(x(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -618489.01 to the nearest 10000.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5786338 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/72*0\/1*(-68)\/136?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1751 - -56405?\nAnswer: 60356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**4 - 40*r**3 - 35*r**2 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**3 - 8*q**2 - 13*q - 3. Let b(l) = -5*l**3 + 8*l**2 + 12*l + 3. Let g(t) = 7*b(t) + 6*n(t). What is the units digit of g(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3761969324 to the power of 1\/2, to the nearest integer?\nAnswer: 61335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 + 8)*(2*c - 13*c - 5*c).\nAnswer: -240*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.3 + 15. Let i = -0.04 + 1.74. Which is the closest to 2\/5? (a) 3\/4 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5080\/170 - 2\/(-17). Calculate the highest common factor of 18 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/5 - 15874*v**2\/5 + 6301184*v - 31490048\/5.\nAnswer: 2*(v - 3968)**2*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -13) + -5 - (1 - -123 - (333 - 336))?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -110*i**3 - 175*i**2 - 15*i = 0.\nAnswer: -3\/2, -1\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/18 and 65\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y - 3. Suppose 0*t = 2*t - 2*k + 8, -2*k + 6 = -t. Let d(x) = 21*x + 15. What is t*d(f) - 11*q(f)?\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48535 = 24*k - 93473. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242762017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 6*g**2 + 7*g. Let p be f(-7). Let m(c) = -c**3 + 3. Calculate m(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/14 - 71232\/(-3136)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 52 = 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-84)\/154)\/(4\/(-17)). Let n = l - -2\/11. Let a = 1637309\/150210 + -2\/15021. Calculate the common denominator of a and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05395 and -0.043.\nAnswer: 0.00231985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Suppose 6*o - 3*o + z - 492 = 0, 2*z - 489 = -n*o. Suppose -8*q + o = -3*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15287511 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 451 and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11151933 to the power of 1\/2, to the nearest integer?\nAnswer: 3339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhhd when four letters picked without replacement from {b: 2, d: 2, h: 9, i: 5}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7.05 times -11\nAnswer: 77.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let j be (-150000)\/((-31)\/30 + 1). Suppose z + d*z = j. Round z to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 12, 23*v - 27*v + 29 = -3*s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -27*y**3 + 5*y**2 - 5*y - 3. Let l = -112 - -107. Let n(w) = 26*w**3 - 6*w**2 + 6*w + 3. Let b(g) = l*n(g) - 6*j(g). Differentiate b(r) wrt r.\nAnswer: 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/4358 + -88252\/10895. Find the common denominator of 17\/(-25)*70\/4 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152104739?\nAnswer: 29, 1307, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12\/20 - 0 - (-84)\/(-15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnmt when four letters picked without replacement from {n: 1, t: 1, h: 1, m: 4, g: 9, l: 1}.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4, 0.02, -5, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h - 3. Let w(d) = 5*d + 2. Let c(z) = -4*r(z) - 3*w(z). Let b = -11 + 17. What are the prime factors of c(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18192922 to the nearest integer?\nAnswer: 4265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 - 2.7. Put 5, p, 18\/7 in descending order.\nAnswer: 5, 18\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.8, 3, -2\/17, 2\/9, -1 in descending order.\nAnswer: 3, 2\/9, -2\/17, -1, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 1. Let i(f) = f**2 - f - 28. Let m(k) = -6*h(k) - i(k). Let n be m(9). Solve 0 = -n*t + 3*a - 12, 3*t - a + 0*a = -4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m**3 - 12*m**3 + 26*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (-3*(sqrt(200) + -1 + sqrt(200) + sqrt(200)) - sqrt(200)) + sqrt(200) + sqrt(200) + (sqrt(200) - (-2 + sqrt(200))*-6) + sqrt(200))**2.\nAnswer: -180*sqrt(2) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35 and -69\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and 25807 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/20*8468\/87 - -16.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -418 - -423. Suppose -2*j = 0, -j = -3*z + j. Suppose w + r = -z*w. Which is the biggest value? (a) 0.2 (b) w (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -8a8?\nAnswer: 8b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.03 - -205722.737.\nAnswer: 205691.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36259218 and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86515 + 86515 + 711*f)*(f - 4*f + 4*f) - 5*f**2 + 0*f**2 + 4*f**2.\nAnswer: 710*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/((-6)\/(-27)). Let s(z) = z + 3 - 4*z + 8*z. Let b be s(x). Calculate the greatest common factor of b and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/10*16806\/(-19607)*(-230)\/6.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2415 (base 8) to base 4\nAnswer: -110031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/55 (b) 3\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Let j(p) = p**2 + 5*p + 3. Let g be j(-5). Let i be 49\/42*2\/g. Which is smaller: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 13. Let c(y) = y + 1. Let i be c(2). Let j be i\/5*5\/(-15). Which is bigger: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 5 = -1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -20. Let d be -2 - (-2276)\/z - -2. Let m = d + 126. Which is the third smallest value? (a) -3 (b) m (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -2 + 3 + 0. Put k, 5, 2 in ascending order.\nAnswer: k, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**6\/30 - 3*v**5\/20 + v**4\/4 - v**3\/6 - 3*v - 4. Let k(g) be the first derivative of y(g). Determine x, given that k(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82*s**3*u**3 - 6*s**3*u**2 + s**3 - 3*s**2*u**2 + 24*s**2 + 3*s*u**3 wrt s?\nAnswer: 492*u**3 - 36*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o*(o\/o**(-4))\/o*o*o*o))\/o*(o\/(((o**(1\/2)\/o)\/o)\/o))\/o)**(-1\/28) assuming o is positive.\nAnswer: o**(15\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 1:34 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 2706477\nAnswer: -2706476.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15023435 + 45?\nAnswer: -15023350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 52 + 141?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9273, 37063, 83343, 148083, 231253?\nAnswer: 332823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012847 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a6324 (base 11) to base 14.\nAnswer: 8315a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77092 + 8*v**2 - 38544 - 38548.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*c**3 - 685*c**2 - 15300*c + 206500.\nAnswer: 5*(c - 59)*(c - 10)*(3*c + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57960 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1385 - 1385 - 22*f - f**2)*(38 + 123 - 12 + 137 + 294).\nAnswer: -580*f**2 - 12760*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 70 = -2*k, -4*n - 15 = 4*k - 87. Let t(w) = -5*w**3 - w**2 + 6*w - 6. Let f(r) = -14*r**3 - 3*r**2 + 17*r - 17. Calculate n*t(p) - 6*f(p).\nAnswer: -p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (28 + -76) - (-6 + 4)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -47 in decreasing order.\nAnswer: 3, -6, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59795.\nAnswer: 5, 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 + 88 = -4*o. Solve -b = 2*l - o + 13, 2*b - 20 = 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -2, -32, 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2. Let g(v) = -2. Let o(j) = -2 + 1 - 4 - j. Let q be 2\/(8\/(-10))*-2. Let x(d) = q*g(d) - 2*o(d). Determine a(x(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -343043440210 - 0?\nAnswer: -343043440210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*y - 43 - 10 = 50. Let a(z) = -36*z - 9. Give a(y).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 2*g - 3. Let i(f) = -f**3 + 5*f**2 - f + 2. Let r be i(5). Let b be h(r). Calculate the highest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + -12 + (-11 - -5) + 29.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5 - 42337*u**4 + 285900*u**3 - 603655*u**2 + 338924*u + 127092 = 0.\nAnswer: -10591, -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*t = 20, 51 - 66 = -4*w + 3*t. Suppose 2*l + 43 - 87 = w. Put 4, 0, l in increasing order.\nAnswer: 0, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 5820.\nAnswer: -2328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 985 and 553510.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1799859 divided by -3.\nAnswer: 599953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -17. Let k be s*3 + 7 + -8. Solve 3*y + k*v + 23 = 0, -5*v - 19 = -y - 0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzzzzwwwwzwwp. What is prob of sequence pwwz?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*z\/(z*z*z\/z**(1\/4))*z*z**(11\/4)*z**(5\/3)*z*z*z)**(-1\/2) assuming z is positive.\nAnswer: z**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 149*a**2 - 2*a + 2. Let f be w(1). Let j = f + -150. Let n be 7\/3 - (-1)\/(-3). Put n, j, 1 in ascending order.\nAnswer: j, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 10:06 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4eca + 13e?\nAnswer: -4d8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 7*c - 595. Let x(f) = -4*f**2 + 32*f - 2973. Let l(z) = -11*a(z) + 2*x(z). What is the derivative of l(k) wrt k?\nAnswer: 6*k - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -255527444*x - 294160136 wrt x.\nAnswer: -255527444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 10:56 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 - -99. Let r(s) be the first derivative of 0*s - 1\/3*s**3 + 0*s**4 + 0*s**5 + 0*s**2 + x + 1\/6*s**6. Find the third derivative of r(p) wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31194 is divided by 15586.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7833 a factor of 3248423430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 351\/(-6)*(8\/(-6))\/1. Suppose 4*h + 6 = z. Suppose -3*x + h = 3. What is the fourth smallest value in 1\/3, x, -2, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1782*o - 13545. Is 81 a factor of c(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/42 and 31\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 = 11*f + 391. Let v = -145 - -4493\/31. Is f < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*v**2 - 267*v**2 - 236*v**2 - 21*v**3 - 200*v.\nAnswer: -21*v**3 - 2*v**2 - 200*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 437618, 875233, 1312848, 1750463, 2188078, 2625693?\n\"Answer: 437615*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 493 = 453. Let q be 2 - ((4 - 6) + r). Solve 0 = -5*c + 2*c - q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -0.171254.\nAnswer: 1.828746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -5*z + 9, z + 3*z + 3*m = 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 40.7. Let i = z + -7.7000102. Round i to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 - 3 = 0. Let k(i) = i**3 - 7*i**2 + 6*i + 1. Let v be k(6). Let m(l) = -4*l + 2 + v + h*l - 2*l. Determine m(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 254*k + 15493. Calculate h(-61).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -166, -314, -542, -874?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3036664048?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/2 - 102\/15\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2790*c**2 - 1382*c**2 - 1371*c**2 + 2*c**3 - 24 + 6 + 18.\nAnswer: 2*c**3 + 37*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1732504, 1732510, 1732518, 1732528?\nAnswer: 1732540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1\/122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1739 = -95*p - 446 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 + 0.28. Let v = 40 - 40.3. Which is the second biggest value? (a) o (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(76))\/sqrt(4))**2 - (sqrt(19) - (1*sqrt(228) - sqrt(228))\/sqrt(12)).\nAnswer: -sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128308508 divided by -1.\nAnswer: -128308508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - w + 169762, -4*n + 5*w + 72348 + 63479 = 0. Suppose 3*x = -n - 6556. Let j = -226497 + x. Round j to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6537 - -1.0463. Which is greater: -3.8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21632 * -3\nAnswer: 64896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 39. Let x be i\/6 - 16\/(-12). Suppose -a + 6*a = -5*z, -x*a = 4*z. Solve 0 = p, 5*m + 0*m + 3*p - 20 = a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 - 49 = 3*d. Calculate the remainder when d is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**3 + 3. Let r(a) = a**3 - 1. What is 2*r(l) + s(l)?\nAnswer: 6*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4*1147\/(-124) - -9\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91000897?\nAnswer: 13, 7000069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a factor of 1408342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006313297069 to 7 dps.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.057+24364023\nAnswer: 24364023.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, o: 2, d: 1, y: 1, b: 4, a: 2}. Give prob of sequence oojj.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2659 - -2663. Let w(o) be the third derivative of 15*o**2 - 13\/6*o**3 + 0 + 5\/24*o**y + 0*o. Differentiate w(g) with respect to g.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 1. Let n be s(6). Suppose -2*t = -n*g - 43, -3*g - 9 = 2*t + t. Let z = g + 10. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 100, 102, 104, 106?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2633 + -18476\/7. What is the common denominator of 478\/58 + -2 + -6 and s?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 67. Suppose 0 = -2*z - 3*z + o. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 5:13 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 1:51 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, -45, -1\/322?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d - 25*d - 5*d to the form q*d + z and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14610, -14601, -14580, -14541, -14478?\n\"Answer: f**3 + 2*f - 14613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 10:44 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/12)\/((-256)\/960). Put o, 27, -5 in decreasing order.\nAnswer: 27, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v - 19. Let y be f(25). Suppose -y = -c + 137. Suppose j + 34 = c. Calculate the remainder when j is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -22\/1977 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6027 + 6309. Solve 10*h = -202 + r for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(112)*-2 + (1 + sqrt(112))*-5 + -4 + (1*sqrt(112) - sqrt(112))*2)**2.\nAnswer: 560*sqrt(7) + 5588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*t + 21*t - 54. Suppose p - 42 = -2*y, 0 = 2*y + 5*p - t - 7. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202221 + -202221?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -24\/13, 2\/7, -4, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -38*l + 52. Let h be a(-22). Let k = 5987 - h. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*j = 36, -4*j - 1 - 7 = 0. Is ((-108)\/(-21))\/(m\/(-770)) - -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 - 172*f - 1 + 168*f - 15*f**4 - 3*f**3 + 17*f**4 in the form w*f**3 + x*f**4 + y + a*f**2 + z*f and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 312*t**5*x**2 - 28*t**3*x**2 + 3*t*x**2 - 130*t*x - 14*x wrt t.\nAnswer: 6240*t**3*x**2 - 168*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -166*d**3\/3 + 3*d**2\/2 - 14*d. Is n(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -477045 (base 9) to base 6.\nAnswer: -10053535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 4*h. Let o(r) = -2*r**2 + 3*r + 1. Let f(x) = -2*o(x) - 3*y(x). What are the prime factors of f(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -14*j**2 - 5213*j - 7. Let a(z) = -30*z**2 - 10427*z - 15. Determine -6*a(k) + 13*d(k).\nAnswer: -2*k**2 - 5207*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 + 14*j**2 - 22*j + 10. Let k be z(8). Let x = 288 + k. Put 31, -5, x in increasing order.\nAnswer: x, -5, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-28))\/(-8)*1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -3*v - 3*m, 3 = -18*m + 15*m. What is the highest common divisor of 90 and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 22 = -g, -g + 6 = -4*g. Solve -w + v = -4, k*w - 2*v = 2*w + 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -716 - -1112. Calculate the highest common divisor of p and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -8*q - 16. Let l(y) = y**2 - 24*y + 84. Let f be l(20). Sort -4, f, -2, q in decreasing order.\nAnswer: f, q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 8*h = 0. Solve -8*s + 0*s - 16 = h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -10 - 8. Let k = l + 18. Solve -k*m**2 + 2*m**2 + 4 + 5*m**2 + 28 - 72*m = 0 for m.\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(168) + sqrt(42)) + (sqrt(4200) - sqrt(4200)*3) + sqrt(42))\/((sqrt(60)\/sqrt(32))\/(1*sqrt(80) - sqrt(5))).\nAnswer: -300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 12) to base 5\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 470046 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56\/11*y**2 + 106\/11*y - 52\/11 + 2\/11*y**3.\nAnswer: 2*(y - 26)*(y - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 0*w + 3*w + 42, -q - 4*w + 7 = 0. Solve -q + 31 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -104236.\nAnswer: 27\/104236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooomoobbbbobbb. Give prob of picking 4 o.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.64*0.8.\nAnswer: 1.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5544 and 30646?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/(-10)*(1 - 6). Suppose 5*j + z = 9. What are the prime factors of (j + 2)*71 - 4?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 10*n - 3, 4*f - 1475 = -5*n. Suppose c - 3*k = 193, -5*c - 5*k + 555 = -f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19188*d**2 - 421*d + 421*d + 9*d**3.\nAnswer: 9*d**3 - 19188*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8895863710?\nAnswer: 2, 5, 557, 1597103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -4, 1\/4, -0.2, 7\/38?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 + 3*p - 2. Let u be (-8)\/20 - (-74)\/10. Let h = u + -13. Let y = -3 - h. Give m(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29\/3 - -11. Let x be 5\/3 - (2 + 35\/(-15)). Determine m so that -o*m**2 + 0 + 10\/3*m**3 + 0*m - x*m**4 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170802 is divided by 158?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*f - 18 = 0, 163 = -5*v - f + 138 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Suppose 3*d = -z*d + 3900. Let o be 1 + (-2)\/2 + d. Round o to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 49 = 5*c, 0 = 4*x - 2*c - 34. Suppose 5*n + 55 = x*n. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.097 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 60*a**2 + 33*a - 49. What is the tens digit of q(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5 - -3. Let n = k + 0.5006. Round n to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = 2*p. Suppose p*x + 10 = 55. Let g = 13 - x. Solve g*k = k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 3. Let a be s(0). Suppose 16 = 4*n - 2*t, -3*t + 1 + a = n. Suppose -4*g + 29 - 9 = 0, n*g = -2*u + 32. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/40*(-5)\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 23, 47, 81?\n\"Answer: 5*o**2 - o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o - 1. Let x(z) = z + 1. Let a(d) = 6*r(d) + 17*x(d). Let n be a(7). Solve 0*i = -3*i - 3*c - 3, -5*i - 4 = n*c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2*sqrt(75) - (((sqrt(3) - sqrt(48)) + sqrt(3))**2 + -3)) + -2 + 1*sqrt(300)).\nAnswer: -55 + 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/682031?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/8*24792\/(-17561).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (4 - -14) - (6 + 1) - (187 - 227)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -27*q**4 + 11739*q**3 - 78444*q**2 + 51324*q + 15408 = 0.\nAnswer: -2\/9, 1, 6, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**2 + 15*c**2 - c**2 - 4*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 739*s - 5*s**3 + 735*s + s**3 - 2*s**2 as r*s**2 + g*s + c*s**3 + b and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -37*w + 56. Let j(h) = -57. Determine -3*j(f) - l(f).\nAnswer: 37*f + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (0 + -1))*4. Let q be (-12)\/4*2*(-128)\/6. What is the greatest common factor of z and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**(-1))**15*q**(-1)\/q**(-13))**44)**(-6) assuming q is positive.\nAnswer: q**(-15048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 35 = -6*f. Sort 5, f, -2 in decreasing order.\nAnswer: 5, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -98, -221, -394?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2583028399?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -25*o**3\/6 - 2*o**2 + 2*o. Let v be d(-4). Suppose -5*i + v = -2*i. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 2*a + 18, 253*y - 249*y - 4*a - 4 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -61174.\nAnswer: 2\/30587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 13 - 16 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2.800351mm?\nAnswer: 0.002800351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620396581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 4251, 2, 1352 in ascending order.\nAnswer: -1, 2, 4, 1352, 4251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 6*k**2 - 6*k - 5. Let l be b(7). Suppose -l*i + 6 = i. Solve i*r = -2*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*a*r*z + a*r - 2*a*z + 3*a + 17*r*z + 4*r + z - 1991 with respect to r.\nAnswer: -15*a*z + a + 17*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 4. Let i be m(6). Let q = -43 - -57. Suppose 0 = 2*w - w + 3*c - 17, -2*w - 2*c = -q. Calculate the greatest common divisor of i and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(((154\/(-33))\/(-7))\/2)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 27\/5, 1.9, -0.3, 0.05 in descending order.\nAnswer: 27\/5, 1.9, 0.05, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/481 and (120\/(-80))\/((-999)\/48)?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4267 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -139*p**2 - 5*p - 5. Let j(b) = -56*b**2 - 2*b - 2. Let k(f) = -8*j(f) + 3*q(f). Determine k(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j + 4*y - 8, 4*y = 4*j - 4. Let t be 24\/(-18)*9\/j. Let z be (-1)\/t + 77\/(-66). Which is smaller: -4\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14425044?\nAnswer: 2, 3, 17, 31, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 13*d**2 - 5055 + 7*d**2 - 5*d + 5048. What is the remainder when q(-2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864473083?\nAnswer: 864473083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x*x*((x**(-2\/3)*x*x)\/x*x)\/x))*x*(x**(1\/4)*x)\/x)**(-1) assuming x is positive.\nAnswer: x**(-31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 4. Let h be v(-6). Let k = -0.233 + 0.033. What is the smallest value in -4, k, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*j*k*s - 20*j*k + 2*j*s - 69*k*s + 15*k - 2*s + 4 wrt s?\nAnswer: -14*j*k + 2*j - 69*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 42*i - 353. Give q(-8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2. Suppose 3*m + o - 6 = 0. Suppose s + m*z = 1, 4*s - 7*z = -5*z + 24. What is the smallest common multiple of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4397772954 to two dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5279149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*m**4 - 29*m**4 - 50*m**4 + (-4*m**4 + 0*m**4 + 3*m**4)*(5 - 6 + 2) + (-3*m**4 + m**4 + 3*m**4)*(1 + 1 + 0) - 2*m**4 + m**4 + 0*m**4.\nAnswer: -107*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(1\/14)*h*h*h*h)**30\/((h\/h**(-25))\/(h**(1\/62)*h)) assuming h is positive.\nAnswer: h**(66347\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**3 + 5*c - 5. Let k(o) = 0 - 2 - 3*o + 1 - o**3 + 4*o. Calculate -5*k(w) + v(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -3 (c) -0.055 (d) 0 (e) -2\/15 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 195251170.9 to the nearest 10000.\nAnswer: 195250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10288992 divided by -1952\nAnswer: -5271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 85*h - 356.\nAnswer: (h - 4)*(h + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 6*u - 4. Let c be y(5). Let f = -45 - -181\/4. Which is smaller: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/22*3\/9. Suppose -u = -15*u. Which is smaller: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3 - h - h**2 + 4 + 2. Let o be c(0). Suppose -o*t = -2*v - 99, 0*v + 33 = t - v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 4. Suppose i - 127*w = -132*w + 100, 3*i - w = 284. What is the greatest common factor of y and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1 + 3*u - 2*u - 2. Suppose 5*f = -0*f + 60. Suppose -l = 2*l + f. Let h(k) = -6*k + 2. Determine l*d(v) - h(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -58 + (-59 - (49 + -86))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 - 3 = 0. Suppose -2*k + w*x - 9 = 0, -2*x + 28 = -5*k + 11. List the prime factors of (k\/((-6)\/(-16)))\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6)*(-8)\/(-7). Let z = 3.32 - 1.53. Let r = z + 0.21. What is the second smallest value in r, 3, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7*140\/(-5390).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5433553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w + 11*w + 8*w + 1 + 1 - w**2 - 25*w to g*w**2 + x + t*w and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 688 and 42864464?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80961 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 41\/2 of a hour?\nAnswer: 73800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*m**2*u + 3032*m**2 + 4*m - 374*u - 2 with respect to u.\nAnswer: 60*m**2 - 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, i: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 72158000 to the nearest 1000000.\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -4 + (-8)\/(-1). Suppose 0 = 2*u - b*u + 8. Let m(w) = w**2 + w - 1. Let y be m(u). Solve -y*p = -16 - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 88570*l + 797535.\nAnswer: -5*(l - 9)*(l + 17723)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + 1*sqrt(45) - (-2*sqrt(45) + -1)**2) + 0 + sqrt(1125) + -3 + -3 + -5 + 3.\nAnswer: -563 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**2*m**2 + 247*k**2 + 25*k - 224559*m**2 + 16 wrt m?\nAnswer: -2*k**2*m - 449118*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11488621 is divided by 883737.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 159\/11 - 466\/33. What is the closest to 2\/11 in 6, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/5, -3, 5997, -0.5, -4\/5, -2, 5?\nAnswer: 5997","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1549 - 1605. Let h(t) = -t**3 - 55*t**2 + 58*t + 95. Let z be h(d). Suppose 44 = -5*g - 36. Which is greater: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/2 and (-1)\/3 + 2 + (-433)\/60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/5*t**2 - 11\/5*t - 1\/5*t**3 - 6\/5 = 0. Calculate t.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/((-23870)\/(-44)))\/((-2)\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44249653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((4 + (sqrt(27)*-3 - 4*sqrt(15)\/sqrt(5)))*-1 + -2)**2.\nAnswer: -156*sqrt(3) + 547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:10 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, -2\/5, 2\/3, 1.33, 0.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.043096 and 462?\nAnswer: 19.910352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1332)\/13209)\/((-18)\/21). Let i = -5 + 9. Let g = i + -3.6. What is the second smallest value in 1\/7, p, g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (602\/(-215))\/((-26)\/10 + 15*10\/50).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1149\/(-766))\/(15\/70)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -0.1 (c) -5 (d) -126.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 22*h - 19*h + 66*h - 14*h - 19*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 58218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -7. Solve 3*g - 15 = -g - 5*w, 29 = p*g - 4*w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 451 - 451 - 5*r + (3 + 0 - 1)*(0 + 0 - 3*r) - r + 2*r - 2*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 9. Suppose -281 + 330 = y - 5*l, 0 = 5*y - 4*l - 98. What is the smallest common multiple of y and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 o when three letters picked without replacement from khkmggottghk?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 3*-2*(8 + -5). Calculate the greatest common factor of 200 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5275 - -5279. Put c, -2, 25, 0.4 in decreasing order.\nAnswer: 25, c, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188965.565 rounded to the nearest one thousand?\nAnswer: 189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1520 + 1520.6452. Let t = 10.7032 - i. Let y = t - 0.058. Which is the third biggest value? (a) y (b) 3\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3*s + 3)*(543*s + 171*s + 473*s)*(-1 + 1 + s) as h*s**3 + u*s + q*s**2 + n and give h.\nAnswer: -3561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/60 - y**4\/12 - y**3\/6 + 3*y**2. Suppose -4*q + 5*i = -3*q - 14, 8 = -4*i. List the prime factors of p(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514375 is divided by 423?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.028 (c) 0.3 (d) 12849\/7 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 905 + -865. What is the remainder when h is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from uquuuqcuucccuyuu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/30 - -2)\/(2\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a factor of 5172876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11*(-16)\/(-20)*5.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9033 divided by -3011?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**3 - 10*a**2 + 3*a + 9. Let g(t) = t**3 + t**2 - t - 1. Let k(x) = 5*g(x) + r(x). Let n(p) = p**3 - 3*p**2 - p + 2. Determine 3*k(w) - 5*n(w).\nAnswer: -2*w**3 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366.9083 micrograms to kilograms.\nAnswer: 0.0000003669083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 15.3824601599.\nAnswer: -14.9824601599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8) + (-78)\/8. Suppose -4*n - 11 + 32 = q, 0 = -q - 3. Let l = n + y. Sort 3, l, -6 in ascending order.\nAnswer: -6, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13194?\nAnswer: 2, 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 5*t - 21. Let r be a(-12). Let g(z) = z**2 + 2 - 17*z - 5 + 13*z. Let i be g(6). What is the greatest common factor of r and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 11*c + 2. Let r be v(-11). Suppose 3*a - w = -r*w + 49, w = -2*a + 32. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 411\/2975 + 2\/425. Suppose -1 = -4*f + y, -f + 2*y + 6 = 3*f. Is f > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l**4\/19 - 10*l**3\/19 - 14*l**2\/19 + 4*l\/19 = 0 for l.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 65*b**2 - 5*b + 6. Let p = 486 + -483. Is k(p) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 47454*x**2. Let c(l) = l**2. What is c(y(o))?\nAnswer: 2251882116*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 490 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9237 + -221645\/24. Find the common denominator of 37\/3 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + (-55 - -139) + -90?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*z + 26, 0 = 2*z - 3*g - 2*g + 15. Does 4 divide (-10)\/(-50) + (-98)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:42 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32851?\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsyfnobyn. What is prob of picking 1 b and 2 y?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 5:02 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipa when three letters picked without replacement from {i: 3, p: 1, t: 2, q: 4, a: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -30115 less than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.1 + 6.1. Let x be 5\/(2 - (-5)\/(-2)). Let i be 4\/x + 36\/(-10). Put i, h, 0.5 in decreasing order.\nAnswer: h, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3 - 2*k - 8966*k**2 - 3 + 4484*k**2 + 4486*k**2. Let n(z) = -25*z. Calculate n(a(o)).\nAnswer: -100*o**2 + 50*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022539 to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -1624195?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-56)\/21*1)\/((-2)\/9). Let s(z) be the first derivative of -43*z**2\/2 - 2*z - 1. Let t be s(-2). Calculate the greatest common divisor of a and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 - (2 - -85) - (11 - (-1 - -1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/3, -3, -5, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1015*y**2 + 263*y**2 - 370*y**2)*(-3*y + 0*y + 0*y) + 4*y**3 + y**3 + 5*y**3 to the form w*y**2 + k*y + m + f*y**3 and give f.\nAnswer: -2714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert c2c81c (base 16) to base 15.\nAnswer: 11c2442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142710.8 rounded to the nearest one hundred?\nAnswer: 142700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/919 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 356069403 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 89. Let u = o - -40. Is 7 a factor of (-14 + 0)\/((-22)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 25.9. Let b = a - -2.1. What is the nearest to b in 2, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.18568g to nanograms.\nAnswer: 18185680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3*k + 4*k**2)*(-7 + 6*k**2 + 7) + k**2 - 2*k**4 - k**2.\nAnswer: 22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -17*o - 3. Let r(z) = -9*z - 1. Give 3*l(c) - 5*r(c).\nAnswer: -6*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(-3*1\/16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 936?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 9*a**3 - a**2 + 2*a + 2. Determine p(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -233*f + 3276. Give l(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-seven quarters of a century?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 5*q**2\/2 + 108*q + 1376. What is o(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*h**3 + h**4 - 12*h**2 + 23*h**2 + 73*h**3 - 7*h**2 - 33 to the form d + c*h**3 + p*h**4 + y*h**2 + o*h and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100010000123 - -3?\nAnswer: -100010000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*r + q + 1, 0 = -3*r + 4*q + 8. Let b be 220\/(-18) - r\/18. Let u be (-117)\/b - (-1)\/4. Solve -p = p + u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 - 2*x**4 + 3*x**4 + 5*x**4 - x**3 + x**3 + 0*x + 0*x + 2*x**4 + (x**3 + 3*x**3 - 5*x**3)*(-x - 4*x + 3*x).\nAnswer: 7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.903 - -7.23. What is c rounded to two decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -12 - 7 - -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -18*v. Let h(l) = 1432*l - 2. Calculate o(h(g)).\nAnswer: -25776*g + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2134 + 21b9?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-3 - 18\/(-4)). Let h be (-3)\/t - 5\/2. Let u(z) = 2*z**2 + 2*z. What are the prime factors of u(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -51*j**2 - 713*j - 11. Calculate the remainder when w(-12) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3709247 by 3.\nAnswer: 3709247\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -6\/65, 5\/7, 1.1 in descending order.\nAnswer: 1.1, 5\/7, -6\/65, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 + -49.3865\nAnswer: -49.3065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let l(a) = 65072*a. Determine o(l(v)).\nAnswer: -130144*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 165040111, 330080223, 495120335, 660160447, 825200559?\n\"Answer: 165040112*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31773.82 + 31216. What is m rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 133 or 132?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**21\/t**(1\/52))**1 assuming t is positive.\nAnswer: t**(1091\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 3*u + 6. Let c be o(-4). Let -k**4 + 0 - 1\/3*k**c - 5\/3*k**3 + 1\/3*k = 0. What is k?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r - 14 = -36*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2903 and 0.0742?\nAnswer: 2903.0742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014777866 rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/63*-1)\/((-12)\/(-18))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 19 + 5)*(-3 + 3 - 3*h)*(-17*h**4 + h**4 + 3*h**4).\nAnswer: 975*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/10)\/((-18)\/(-45)). Let y(l) = l**3 + 3*l**2 - 2*l - 3. Determine y(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + 99 - 327*q - 14*q + 158 + 64.\nAnswer: -341*q + 220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3736\/10)\/(1\/(5\/2)). Suppose 0 = -3*i + 3*k + 1125, 3*i - 2*k - f - 194 = 0. Suppose -i - 212 = -5*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*y + 20 = 0, 0 = b + y - 19 + 4. What is the lowest common multiple of ((-88)\/(-12))\/((-2)\/(-6)) and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -101*p + 52*p + 120. Find j, given that -8\/5 - p*j - 6\/5*j**2 + 1\/5*j**3 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 4731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347*y + 4*g = 350*y + 8, y + 2*g - 14 = 0. What is the nearest to 2.3 in y, 2\/27, -3, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1568 - -0.1568. Which is the second smallest value? (a) -1\/6 (b) -4 (c) 2\/11 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brbkbrrkkjkbb. Give prob of sequence bj.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from ykcdh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.1 + -9.49. Let u = x + -0.01. Let p = 312 - 314. Which is the smallest value? (a) p (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 15*z - 18. Suppose 6*b - 60 = b. Suppose -5*p = -3*t + 4*t - 27, 240 = 5*t + 4*p. Calculate the remainder when t is divided by m(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3 + 19 = 0. What is the lowest common multiple of 6 and n\/(-4) + (-752)\/(-32)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3404355.89 to the nearest one thousand.\nAnswer: -3404000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3554 + 3554.1. Suppose 2*r + 16 = 2*s, 2*s + 0*r = -2*r. Sort s, n, 0.\nAnswer: 0, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Let z be ((-14)\/(-1048))\/(6\/(-63)). Let y = z + 2\/131. Are n and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5*(4 + 1). Let d = 3 - n. Suppose 2*j + 14 = 2*v, 5*v + 0*v = -4*j - 1. Put -2, v, d in increasing order.\nAnswer: -2, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3670260 divided by -2739.\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 732.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + 10010?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46609549907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.21728153 rounded to one decimal place?\nAnswer: -17.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 203482*m**4 + 12435060?\nAnswer: 813928*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p + 2. Let s be 1 + -1 + -1 + -10. Let w(c) = -26*c - 11. Let l(t) = s*k(t) - 2*w(t). Let h(g) = -g. Give l(h(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*f - 267 = 56, 0 = -8*d - 4*f - 471 - 381 for d.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353221 is divided by 58831?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = 28*d + 20*d. Let b(v) = -17 + 12*v + 12*v - 9*v. Let u(z) = 7*z - 8. Calculate d*b(q) + 13*u(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52a (base 13) to base 3.\nAnswer: -1012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 2*v**2 - 15*v + 11. Let r be c(8). What is the highest common divisor of r and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 11 + ((26 - 59) + -10 - 7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q. Let g be d(-6). Solve i = 3 - g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429.6106 rounded to one dp?\nAnswer: 1429.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/227, -5, 1.6, 2\/39, 2\/5, 0.1, 28?\nAnswer: 2\/227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 49. Let m = 41 - n. Let d be (520\/32)\/(m\/(-72)). What is d rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 612073.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133 and 1675324?\nAnswer: 31831156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1051104, 1051099, 1051094, 1051089, 1051084, 1051079?\nAnswer: 1051074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 4*u**2 + 5*u**2 + 0*u**2 - 2*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 61*t - 91*t - 2*t**2 + 152*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(126)\/(sqrt(1008)*1) + sqrt(18) + -1 + sqrt(18) + 0 + 3.\nAnswer: 2 + 25*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -5, -453, 35, 1, -10 in descending order.\nAnswer: 35, 3, 1, -1, -5, -10, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5244? (a) 4\/21 (b) 0 (c) 0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 10*w - 24 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*m**4*q**3 - 394*m**4*q + 43*m**2*q**3 + 3*m**2*q**2 + 2*m**2 - 21*q**2 wrt m.\nAnswer: 240*m*q**3 - 9456*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 u when three letters picked without replacement from {y: 3, u: 2, d: 2, e: 9}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u**2 + 19*u + 1. Let s(r) = 14*r**2 + 21*r. Let b(w) = -4*p(w) + 3*s(w). Let j = 6 + 1. Let l be b(j). Let c(m) = -2*m + 3. Calculate c(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 252*m + 6045. What is t(29)?\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -923 - -956. Which is the third smallest value? (a) i (b) -1\/3 (c) 0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -11*g**5\/60 - g**4\/24 + 5*g**3\/2 + 10*g - 2. Let m(j) be the second derivative of k(j). Let d(a) = a. Determine d(m(o)).\nAnswer: -22*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(720))\/(sqrt(128)\/sqrt(8)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1101*f + 2 - 977*f - 1018*f.\nAnswer: -894*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 286092732.1 - -16.\nAnswer: 286092748.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3322*g - 1113*g - 1101*g - 1108*g + 37*g**3.\nAnswer: 37*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9 - (-112)\/12)\/((-3)\/99936*-4) is divided by 139?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 870922344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 940 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x\/(x\/(x*x**16*x))))\/x)**(-27)\/(((x*x**(-7)*x)\/x)\/(x\/(x*x**8))) assuming x is positive.\nAnswer: x**430","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -79, -393, -0.5, 0.6, 4\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Let p be t(2). Suppose 2*s + p = 4*x, 3 = s + 3*x - 6. Suppose -4*h - s*c + 9 = 0, 0 = 5*h + 4*c + 1 - 12. Solve -h*i - i = -20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i + 5. Let j be (20 - 0)*(-3)\/(-15 + 3). Let t(n) = j*n - 2 - 5 + 4. Give 5*t(y) + 3*x(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*2\/2 - 1. Let g = 235 - 234. Put -6, g, z in increasing order.\nAnswer: -6, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -817 - -25164?\nAnswer: 2464a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = -11*b + 700. What is the least common multiple of (-2*7\/2)\/(34 - b) and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 577.51 + -575. Let c = -180.51 + h. Is c <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 3:11 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z = 11. Suppose z*b - 13 = 20. Solve -b - 6 = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5546942*y**2 + 115121341*y wrt y?\nAnswer: 11093884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c - 21. Let v be s(3). Let j = v + -3. Calculate the remainder when 7 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2 + 3*q + 2. Let f(n) = -1 + 5*n + 4*n**2 - 9*n + 0*n + n. Suppose j = 2*v + 1, -2*j - 90*v + 8 = -88*v. What is j*l(c) + 4*f(c)?\nAnswer: c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1264302620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*r - 262*r = -59*r - 523530. Is r a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(6000) + ((sqrt(6000) - sqrt(6000)*-2 - sqrt(6000))*1 - sqrt(6000)) - sqrt(6000)))\/(sqrt(768)*1 - sqrt(5808)*-2))**2.\nAnswer: 500\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nttn when four letters picked without replacement from {n: 8, t: 5}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2925 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 347*t**3 + 3*t**2 - 2*t**4 + 10*t**3 + 994*t - 994*t to o*t**4 + y*t + r + k*t**2 + z*t**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**3 - c + 22. Let b = -2 + 1. Let t be f(b). Solve -5*z - 2*i = i + 27, 5*z - t*i + 7 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 + 7*k**2)*(1 + 0*k + 0*k + k).\nAnswer: 7*k**3 + 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -56*b - 1234. Give h(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2259 + -2929. Which is smaller: -667 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.1998912. What is h rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 4*sqrt(98))\/sqrt(2)*-3*6)\/(6*(sqrt(7) + (-1*sqrt(175) + sqrt(175) - sqrt(175)))*-5).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -9.22?\nAnswer: -9.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 320\/(-150)*(-420)\/56. Let f(h) = h**3 - 17*h**2 + 19*h - 61. Calculate f(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 6. Let c(o) = -3*o - o + 7*o - 5*o - 7. Determine -3*c(d) + 4*r(d).\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1284637119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 10. Let i be o(6). Let p(y) = 3*y**3 + 5*y**2 - 8*y - 5. Let q(m) = -m**3 + m. Let f(z) = p(z) + 4*q(z). Give f(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1576036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 + (1 - 3)) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = p - 1477, -8*p = -3*n - 4*p + 4410. List the prime factors of n.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**24*f)\/(f*f*(f\/((((f\/f**(-10))\/f)\/f)\/f))\/f))**(2\/21))**(1\/2))**(-2\/17) assuming f is positive.\nAnswer: f**(32\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 3*g**2 - g + 1. Give o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {y: 1, n: 1, d: 2, w: 1, v: 10, r: 5}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -0.02439.\nAnswer: -2.97561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 6 + -3 + 4. Suppose i*u - 92 = -5*x, -4*x - u + 70 = u. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(1\/(-1))*0. Suppose 3*r + x*r = 0. Suppose r = 2*z + z - 147. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -177777*w**5 - 387*w**3 + 3*w**2 + 26*w - 4907 wrt w?\nAnswer: -10666620*w**2 - 2322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 2. Let v = 2\/343 - -1342\/5145. Let c = v - 3\/5. What is the second biggest value in x, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/36 and -101\/2322.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -623 + 501. Which is smaller: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 383387*n - 9200128. What is d(24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2308 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1 (b) -0.1 (c) 85 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3*(-11)\/((-462)\/7)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -136739*y - 410209. What is i(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1479693343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14021042 (base 6) to base 2.\nAnswer: 1110010100110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Let y = 3 + -1. Suppose -x*r - 172 = -4*f, 0*f - y*r = -f + 46. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 464*j*k**3*u - j*k**2*u - 12*j*k**2 - 2*j*k - 42*j*u - 43716*k**3*u + 22*k**2 + 191*k*u wrt k.\nAnswer: 2784*j*u - 262296*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5*l = 5, 0 = -4*f + 8*l - 6*l - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 142942*a - 3000900.\nAnswer: -2*(a - 71450)*(a - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 538, 670, 870, 1138?\nAnswer: 1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4248 divided by -118\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2312372, 2312376, 2312380?\nAnswer: 2312384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2489 by 34.\nAnswer: -2489\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -41913480 times 4\nAnswer: -167653920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*j + 126*j**2 + 34 + 37*j - 59*j - 251*j**2 + 122*j**2.\nAnswer: -3*j**2 - 84*j + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j**3 - 1. Let g be d(-1). Let u = 6 + 2. List the prime factors of (-6 - -12)*u\/g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**5 + 12*f**4 - 42*f**3 - 168*f**2 - 177*f - 60.\nAnswer: 3*(f - 4)*(f + 1)**3*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.9999966 - 18. What is y rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 3*b + 33, 3*a - 4*b - 351 = -321 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 284495760 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -229.7 + 230. Put n, -2, 5\/3, -0.1 in increasing order.\nAnswer: -2, -0.1, n, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:08 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2580*j - 1814*j + 2213*j + 3685*j in the form v*j + w and give v.\nAnswer: 6664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2362 + 2361. Put u, -42.5, 2\/7 in ascending order.\nAnswer: -42.5, u, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93*x**3 - 63430*x**2 + 23816710*x wrt x.\nAnswer: -558*x - 126860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 124212221 (base 6) in base 2?\nAnswer: 1001010100100011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -27634?\nAnswer: 27633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*v**3 - 15*v + 15*v)*(v + v - v)*(0*v + 0*v - v).\nAnswer: -13*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**7\/21 - 143*t**5\/5 - 99*t**3 + 1812*t. Find the second derivative of m(k) wrt k.\nAnswer: 40*k**3 - 3432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:46 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/156091 and -52\/71381615.\nAnswer: 927960995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*u**3*y**2 - 84*u**3 + u + 2556*y**2 wrt u.\nAnswer: 252*u*y**2 - 504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(10)\/sqrt(2))**2*-1 + -5.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1323 (base 9) to base 3\nAnswer: 1100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 825*f**6 - f**3 - 16*f**2 + f wrt f.\nAnswer: 99000*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 2, y: 3, f: 1, n: 3, p: 1}. What is prob of sequence nq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.084542019 - 1086994.\nAnswer: -1086993.915457981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31928 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 194*u**3 + 6*u**2 - 41*u - 5. Is h(5) a multiple of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -930642 plus -0.277?\nAnswer: -930642.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52826467, -105652951, -158479435, -211305919, -264132403, -316958887?\n\"Answer: -52826484*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 6 = 0, 5*k - 2*q = k - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 474.918255s to weeks.\nAnswer: 0.0007852484375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -8, 4, 14, 22, 28?\n\"Answer: -w**2 + 17*w - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + 3. Let g(w) = -20*w - 4. What is the least common multiple of g(-1) and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031662 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 415599 (base 10) to base 13\nAnswer: 117222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/10)\/((-6)\/20). Let z(j) = 6*j - 1. Let w(i) = 13*i - 2. Calculate m*z(l) - 2*w(l).\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4, -z = -3*j + 103070 - 14137. What is the thousands digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -6, 4, 0, -22 in decreasing order.\nAnswer: 4, 0, -6, -22, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 16*v**2 + 16*v + 12. Calculate the remainder when b(15) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -68, -23, -8, -29, -92, -203, -368, -593?\n\"Answer: -m**3 - 9*m**2 + 79*m - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z + 6. Suppose 0*r - 11 = -t + 3*r, -2*t = 2*r + 2. Calculate x(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -8*m - 0*b + 42, 5*b = -32*m + 30*m - 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*g = 0, 740*r + 14 = 735*r + 4*g for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 1, -5, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (-2*sqrt(171)*4)**2) - (3*sqrt(171)*-1 + -2*(sqrt(171) + (sqrt(171) + 4 - sqrt(171)))).\nAnswer: 15*sqrt(19) + 43784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/17 + -683\/51. Let p = v + 437\/33. Which is the closest to 1? (a) 1\/3 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6182 + (-8)\/(9 - 17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((5*1*sqrt(85)*-1*6)\/(4*(sqrt(30) + (sqrt(270)*2)\/sqrt(9))\/sqrt(6)))**2.\nAnswer: 425\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24785.8 rounded to the nearest one hundred?\nAnswer: 24800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 80 = 2*c. Let s be c\/(-30)*18\/(-8). Let t(l) = 10*l - 14. What is the units digit of t(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 = 4. Suppose i*b + 3*b = 10. Find the second derivative of p - p - 2*p + b*p**3 wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 5. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -62, -102, -106, -56, 66, 278, 598?\n\"Answer: 3*f**3 - 61*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 311189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w + 8. Let v(f) = -f**3 + 3*f**2 - 3*f + 2. What is v(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*k**3 + 0 - 1\/4*k - 1\/2*k**2.\nAnswer: -k*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -24. Suppose 66 = 3*t - x. Let d = 34 - t. What is the remainder when 23 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 1026, -1358, 4 in decreasing order.\nAnswer: 1026, 4, 2, -4, -1358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*x = 326*x - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 7.1 (b) -0.5 (c) 1\/4 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from ggglblgglgl.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -595 + 939. Suppose 12*d - 13*d - 4*i - c = 0, 2*d + 672 = -4*i. Is -328 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 16. Suppose -2*b - 5 = -n. What is the third derivative of -3*m**b + 2 - m**2 - 2 wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194163969 is divided by 833?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 + -143. Let j(p) = -5*p - 80. Let h be j(i). Solve -9*g = -h + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 508174053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 9:05 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**2 - d**2 - 10*d**2)*(-3*d + d + 3*d)*(5 - 3 + 0)*(-43703 - 61*d + 43703) to the form g*d**3 + z*d**4 + v*d + u + q*d**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3185*n**2 - 1714*n**2 + 6556*n**2 to the form j*n**2 + x + f*n and give j.\nAnswer: 1657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 428.8 and -0.1.\nAnswer: 428.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 987, 3578, 7785, 13608?\n\"Answer: 808*y**2 + 167*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*r + 55*r + 130*r - 12*r as n + m*r and give m.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12505 (base 8) to base 11.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 230*b**3 - 53*b**2 + 41264*b + 219840.\nAnswer: -(b - 15)*(b + 8)**2*(b + 229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 * -0.48.\nAnswer: 1.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -73*b**2 + 63*b - 3. Let g(c) = 73*c**2 - 64*c + 2. Let u(l) = -3*g(l) - 2*h(l). What is the second derivative of u(n) wrt n?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**3 + 36*w**2 + w - 14. What is l(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -227 - -318. Suppose 2*y - f - 245 = 0. Suppose 5*d - 2*d = y. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121 - -2221222211?\nAnswer: 2222002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124497107 less than 11.6?\nAnswer: -1124497095.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26960\/43337 + 354214970\/584919489. Let w = 1\/2454 - r. Is -1 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -56*d**3 - 2*d**2 + 2*d + 1. Is m(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:18 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 357226?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1040\/6*(-312)\/(-260). What is the highest common divisor of 156 and n?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.99 + -0.01. Let z(m) = -m**2 + 9*m - 10. Let q be z(7). Which is the nearest to -1? (a) 2 (b) q (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = q + 488. Let t = 174 - q. Does 26 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -69*w + 67. Let y be z(1). Which is the third biggest value? (a) 0.5 (b) y (c) 145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 226, 215, 188, 139, 62, -49?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1224*3.65.\nAnswer: 4467.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + (-10 + 22 - 13) + -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252379 - 90683 = 2608*d for d.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c + 1. Let g = 110 - 113. Give r(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-4) - 1)*8. Suppose 125 = v*j + j. Suppose -l = -j - 1. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2367 - 1386. Let l = 755 + b. Suppose 2*x + 0*p - 2*p = -1748, 2*x + l = -p. Round x to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 56*b**4 - 2*b**3 - 4*b**2 - 3*b - 19. Let g(h) = -h**4 - h**2 - h + 1. Let c(u) = f(u) - 4*g(u). Find the second derivative of c(i) wrt i.\nAnswer: 720*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -27. Let f = -19 - -28. What is the remainder when u is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + 3*h**2 + 9*h - 5. Let r(v) = v**3 + 2*v**2 + 5*v - 3. Let k(w) = -3*w + 12. Let g = -127 + 130. Let o be k(g). Calculate o*m(a) - 5*r(a).\nAnswer: a**3 - a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 56884700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2268134 (base 9) to base 11.\nAnswer: -76836a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*a - 1, 4*o + 8 + 6 = -a. Let h(f) = -6*f - 2. Let b be (-2)\/(-8) - (-93)\/12. Let g(w) = -2*w - 1. Calculate b*g(j) + o*h(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 25*i**2 + 26*i + 44. Let d be r(-24). What is d rounded to one decimal place?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.3. Let a be 6\/(-2)*(0 + (-50)\/15). Let s be a\/(-50) - 23\/10 - -2. What is the closest to o in 0, -1\/4, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -466.9999818 - -467. What is l rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 = -0. Suppose -4*o + 10 + w = 0. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -795.5 greater than 421\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 17. Let b = c + -8. Let i = 6 + -4. Is b equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4825405991575 - 4825405991575 - 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 127709363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 702, 719, 732, 729, 698?\n\"Answer: -2*g**3 + 10*g**2 + g + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7.2 times -84\nAnswer: -604.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 + 3?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1355 (b) -2 (c) -2\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 103461619 + 3\nAnswer: 103461622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3244600?\nAnswer: 2, 5, 16223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*b + 8. What is the third smallest value in -5, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/21 and -1\/273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1489246.3 * -12\nAnswer: 17870955.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3910?\nAnswer: 2, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, -262, -288, -314, -340, -366?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 569455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152287 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-1)\/6*3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 335060288 to the nearest integer?\nAnswer: 18305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjo when three letters picked without replacement from oovvoooovojvooovvojv.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Suppose c = -5*q + 3*k + 41, 10 = 5*q - 3*q + 2*k. What is the remainder when 28 + (35 + -37 - (2\/(-2))\/1) is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x + 1. Calculate the remainder when 103 is divided by s(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 237758 and 530?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79178?\nAnswer: 2, 11, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from {y: 4, h: 1, j: 2, p: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-444)\/2960 + 1\/(-4). Let t = -2.1 + 2. Which is the nearest to t? (a) -1\/3 (b) i (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2\/4 - (5944\/(-16) - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2124397, -2124401, -2124405, -2124409, -2124413?\nAnswer: -2124417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 5*b**2 - b + 2. Suppose 0 = -2*a - 8 - 2. What is the remainder when 1*64*(-1)\/(-2) is divided by u(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.1, 4\/159, -31, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 4 + 2*c**4 - 3*c**4 + 4*c**4)*(-3 + 2 + 0).\nAnswer: -3*c**4 + 3*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -69.803 and 888.29?\nAnswer: 958.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 5464711 and 5464734 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -5 - -3) + -5. Is 11 a factor of 110\/(-2)*q\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6606?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*x - 18 = 0, -2*c + x = -2*x - 10. Let w(t) = -t + 3 - c*t + 1 + 0. Let p be 21*(1 - 2)\/3. Let f(v) = 6*v - 9. Determine p*w(k) - 3*f(k).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8 - 3 - 3*j**3 - 3*j + 13 + 8*j**3. What is c(2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**4*x - 7*l**4 + l**3*x + 28*l**2 + x wrt l?\nAnswer: 48*l*x - 168*l + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - 36) + 36 - -19.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, -10, -8, -6?\n\"Answer: 2*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + n**2 - 1. Let q be w(-2). Let k be ((-25)\/10 + 3)*(7 - 1). Let u be k\/(-12) - (-12)\/(-16). Sort 2, q, u in decreasing order.\nAnswer: 2, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 961754825?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = -12*j + 26*j. Suppose j = 35*f - 9508 - 9847. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 952 and 714?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert ca (base 15) to base 14.\nAnswer: d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 7:42 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41546 - 16058. Is 59 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -25. Let s(f) = f + 8. Let v be s(-11). Let c(t) = t**3 + 6*t**2 + 3*t + 7. Let o(h) = h + 1. Let p(u) = v*o(u) + c(u). Give p(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - y**3 - 5*y + 0*y - 2*y**3.\nAnswer: -3*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 2)*(1 - 3). Suppose 0 = 2*v + 4*g + g - 12, 3*v - y*g = 18. Let f(x) = 12*x**2 - 8*x - 5. Is f(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47362 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) -0.04 (c) -13 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/4647 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1841*z = -1868*z - 135 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10148\/92327 + 42\/5431. Let m = -0.9 + 0.5. Which is the nearest to -1\/3? (a) -1\/7 (b) y (c) m (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -224*k**3*p**2 + 147*k**2*p**2 - 6*k wrt k.\nAnswer: -1344*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 3:41 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 13*q**2 - 23*q + 11. Let b be l(11). Sort -1, b, 25 in decreasing order.\nAnswer: 25, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 3. Let i(z) = 7*z - 29*z - 12 + 13*z. Determine -6*i(g) + 26*v(g).\nAnswer: 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 + -144. Let d = r - -82.7. Let w = d + -15. Round w to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, -2\/5, -3, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 5*o + o)*(-9 - 3 + 1).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**4\/6 - 14*h. Let b(l) = 13*l. Let z(u) = 72*u. Let p(i) = 28*b(i) - 5*z(i). Determine k(p(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 + -32003001033?\nAnswer: -32003000321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 868396?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**5\/20 + d**4\/2 - 2*d**3\/3 + 3*d**2\/2 + 2*d. List the prime factors of v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 - 7*y**2 - 3*y - 3. Let l be n(4). Which is smaller: l or 2\/291?\nAnswer: 2\/291","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**7*r*r**(-1\/5))**(2\/61) assuming r is positive.\nAnswer: r**(88\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -154790290 or -154790285?\nAnswer: -154790285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -25\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -469419.\nAnswer: 140825.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = -9*p - 61. Suppose 5*x = 3*x - 20. Let l = p - x. Which is bigger: -15 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 642, 647, 654, 663, 674?\n\"Answer: w**2 + 2*w + 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.85567354 to one decimal place.\nAnswer: 24.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -9cdcad?\nAnswer: -9cdcb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(sqrt(99) + 3 + -1*sqrt(99) + sqrt(99))*4)**2.\nAnswer: 10368*sqrt(11) + 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**3 + 2*j**3 + 0*j**3)*(7*j + 2*j - 2*j) + (j - 4*j + j)*(8*j**3 - j**2 + j**2) to the form t*j + g + n*j**4 + c*j**3 + i*j**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*p + 15*p + 4572 = -29*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10 from 0.00757.\nAnswer: 10.00757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z = 58 + 361 + 432 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -124032202?\nAnswer: -124032212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/((-148)\/(-32) + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ooaff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1342179000 rounded to the nearest one million?\nAnswer: -1342000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 8:58 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (338*l + 691*l + 3 - 1278*l)*(3 + 0 + 0).\nAnswer: -747*l + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 113, 24, 45.\nAnswer: -33, 24, 45, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -946.\nAnswer: -945.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/82*27\/(-135). Is h bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.1275707756 + 0.1275703956. Let f = d - -22. Round f to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1277 is divided by 424.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 687 - -39?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -6 + -4 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155512 - -3244?\nAnswer: 162056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwwt when four letters picked without replacement from {w: 12, t: 2, l: 3, j: 1, v: 1}.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6112.8478 to the nearest 10.\nAnswer: 6110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 3 - (-82)\/14. Let d be 4372\/1540 + 2*2\/(-22). Let n = m - d. Which is the biggest value? (a) -2 (b) n (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 243160*k. Let o(m) = 5*m**2. What is q(o(v))?\nAnswer: 1215800*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7379340 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -a - 14. Let n = -4 + a. Let w be 3 - (-9)\/((-28)\/(-8) + n). Calculate the greatest common factor of 72 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/((-20)\/16)*334\/8?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 911 + 156 = 267*c - 1336 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 - 170 - 28*x**2 - 158 + 166 - 16*x**2 - 11*x**2.\nAnswer: -55*x**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-14)\/(-16))\/((-4)\/(-32))).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-2819*c + 1444*c + 1483*c + c**2).\nAnswer: -c**2 - 108*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from {v: 1, z: 1, c: 1, y: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x - 2*u, -3*u = -4*x - 7 - 2. Suppose 4*h - 34 = -2*b + 5*h, x = 5*b - 3*h - 86. Solve 4*l**2 - b*l**2 + 8*l**2 + 5*l**2 + 4 + 4*l = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 344992.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -1, 2\/35, 5, -3?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: d707 (base 14) to base 2\nAnswer: 1001000010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 18279*j**3 - 18281*j**3 - 4*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 461 = -5*m + v, 0 = 3*v - 3. Let j = m + -154. Suppose -1\/3*u**4 - 1\/3*u + 1\/3*u**3 + 1\/3*u**2 + j = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379723451?\nAnswer: 7993, 47507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -18. Solve 4\/3*a - 5\/3*a**3 - 8\/3 + 2*a**p + 1\/3*a**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4711.49 to the nearest ten.\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 12403568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00279 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*h + 2*s, -5*s = -h - 6*s + 4. Suppose h = n + n. Suppose n = y + 3, 2*j - 4*j + 5*y = -33. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 859*a**2 - 9*a + 10. Does 20 divide v(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + a = -80. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2)*3 - sqrt(65)\/(sqrt(10)\/sqrt(2)))**2 - ((sqrt(429) - (-2*sqrt(429) + sqrt(429)))\/sqrt(11) + sqrt(39))\/(sqrt(135)\/sqrt(5)).\nAnswer: -sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 62 (b) -0.5 (c) -16\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*m - 4*c, 2*m - 3*c - 4 = 4*m. Put -3, m, -4, -6 in decreasing order.\nAnswer: m, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert be15c (base 15) to base 14.\nAnswer: 11a3c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, p: 1, l: 4}. Give prob of sequence lll.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -1216 - 120. Is q*2\/(-3 + 7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -34*t. Let x(l) be the second derivative of -l**4\/2 + 64*l. What is x(b(g))?\nAnswer: -6936*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 77 = 5*l, 34*x + 3*l = 31*x + 21 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2. Let j = -32 - -89. Suppose -15*r - j = -18*r. Let z(g) = r*g - 16*g + 35*g + 17*g. Give q(z(i)).\nAnswer: 6050*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15945298 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 50. Let o be k(-13). Solve -1 + 20*c**3 + 10*c - 37*c**5 + 22*c**5 + 20*c**o + 10*c**4 + 3 + 17*c**5 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16065 + 642549\/40. Find the common denominator of -12\/65 and o.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36.9 + 38. Round l to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q = -286 - 461 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -1 (c) -34 (d) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-1 - -10 - 4). Solve -6*w = -p - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 + -45. Do -0.1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i. Suppose 4*z - 5*k + 2 = 0, 4*z + k = 6 + 4. Let f(r) be the second derivative of 0 + 0*r**z - r - 1\/3*r**3. Calculate f(t(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) + (2*sqrt(768) - sqrt(768)))\/(1*sqrt(24)))**2 + (sqrt(768) + (-1*sqrt(768) - sqrt(768)))\/(sqrt(36)\/sqrt(54)))*6.\nAnswer: -144*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - g**2 + 5*g - 6. Let i be c(2). Is (-1)\/(-4) + (-3838)\/i + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 642 and 156540.\nAnswer: 16749780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 19. Suppose q - 11 - 8 = -f, 3*f + 63 = a*q. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 4, s: 4, d: 1, x: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 3*z - 4*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.4615 centuries to millennia.\nAnswer: 0.74615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1547*y = 1584*y - 185. Let l be (53 + (2 - 0))*1. What is the greatest common factor of l and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}