diff --git "a/data/dm_maths/full_data_2/10617_11255.jsonl" "b/data/dm_maths/full_data_2/10617_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10617_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify ((sqrt(19) + 1 + sqrt(19) + -3 + -2 + sqrt(1900) + -1)*1)**2.\nAnswer: -120*sqrt(19) + 2761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 588975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5902079 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*u**4 - 2*u**2 + 6*u**4 + 6*u**4 + 2*u**3 - 3*u**4 - 2 in the form y*u**3 + z*u**4 + w*u + t + b*u**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 15 = 0, -2*x = -5*x - 3*c - 15. Let t(a) be the first derivative of 3 - 2\/3*a**3 + x*a + 2\/5*a**2. Factor t(r).\nAnswer: -2*r*(5*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o - 63. Determine y(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7985 divided by -3.\nAnswer: -7985\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 8*r + 2. Let a be n(-6). Let w = a - -10. Suppose w*s = s + 3*o - 26, 2*o = -3*s + 57. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**(-2)\/q)\/q*q)**(1\/9)*(q\/(q\/q**(1\/2)))**(1\/22) assuming q is positive.\nAnswer: q**(-79\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**6\/15 - 2*j**5 + j**4\/6 + 20*j**3\/3 - 27*j + 1. What is g in m(g) = 0?\nAnswer: -20, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 2*c**5\/15 - c**4\/24 + 18*c**3 + 2*c**2 + 72. What is the first derivative of r(f) wrt f?\nAnswer: 16*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23802467 and 889?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222100 (base 3) in base 9?\nAnswer: -1870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 8*z + 3. Let j be o(-4). Let t = j + 14. Let y = t - 0. Is y smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (148\/555)\/(1\/3)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 39 = -3*d, 3 = 7*d - 6*d. Solve 5*i + t = -2*p + 7*p, p + 4*i + 22 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 18, 21?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 7:23 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50656428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*f, -2*m + 3*f = -3 - 0. Let y be (-10)\/3*m\/(-2). Sort -1, y, 3 in descending order.\nAnswer: 3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4735.11348 rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*30\/(1489 - -41).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**5\/210 - x**4\/42 - x**3\/21 + 2*x**2. Suppose g(d) = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14010409 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {b: 1, n: 1, a: 4, q: 2, h: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4924 divide 325643969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 500268952 to the power of 1\/3, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 + x**2 - 6*x**2)*(1 - 1 + 3*x) + (-3 + 3 - 2*x)*(4*x**2 - 2*x**2 - x**2).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1\/9)*b**(1\/4))\/(b**(-5)\/(((b**(-2)*b*b)\/b)\/b*b)) assuming b is positive.\nAnswer: b**(221\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -26*m**3 - 44*m**2 + 5*m + 20. Calculate u(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 + (-14)\/(-21). Suppose t*d = -4*q + d - 5, -5 = -4*q - d. Suppose f - 6*f = q. Solve f*y = y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 3*j + 140. What is the highest common factor of 42 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 945 + -4667\/5. Let k = 45830594\/9 - 5099892. Let r = k - -7596. Find the common denominator of r and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 13086338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137706 by 3.\nAnswer: 45902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p = -11*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 2437 + 692 = 0. Let z = d + -445. Suppose -3*k - 2*k + 50 = 0. Solve z*m - k = 7*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.112 and -0.26707917344.\nAnswer: -0.15507917344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(84) + sqrt(84))*5)\/(sqrt(588)*-2) - (-2*sqrt(6300) + 2 + 2)**2.\nAnswer: -25216 + 6735*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44, 71, 116, 185, 284, 419, 596, 821?\n\"Answer: v**3 + 3*v**2 + 11*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16882, 420 in ascending order.\nAnswer: -3, 420, 16882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-6\/19)*b\/(b\/b**19))\/(b*b*b\/(b\/(b**2\/b))*b*b\/(b\/b**(-8))) assuming b is positive.\nAnswer: b**(462\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2192743731?\nAnswer: 3, 293, 2494589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 77*b**3 - 2*b. Let f(x) = -2850*x**3 + 75*x. Give -2*f(o) - 75*u(o).\nAnswer: -75*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410000732?\nAnswer: 2, 102500183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 3*o + 9, -7 = -4*u + 2*o + 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**2 + 260*f + 86.\nAnswer: 2*(f + 43)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -92, 5 in descending order.\nAnswer: 5, 0, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3490*t + 17455. Give x(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 9*y**2 - 9*y. Let q be u(10). Let i be -4 - 38*(-5)\/q. Calculate the greatest common divisor of 90 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87842, 87821, 87788, 87743, 87686, 87617?\nAnswer: 87536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-24) + (-36)\/(-48)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(0 - 796)\/1. Let q = k - 229. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwb when four letters picked without replacement from wwcbwwwwcccww.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8\/3 (b) -11 (c) -1\/2 (d) 0.3 (e) 5\/3 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 372 and 1242?\nAnswer: 77004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1399, -2 in decreasing order.\nAnswer: 1399, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/726 - (-2)\/(-22)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*b**2 - 11*b - 690*b**3 - 16 + 758*b**3 + 13*b - 2567*b**3 wrt b.\nAnswer: -14994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/13 and (-4 - -9) + (-4)\/6 - -3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/5)\/(5\/(-25)). Let s(q) = -q**2 + 3*q. Let v(h) = h**2 - 2*h - 1. Determine j*v(d) + 2*s(d).\nAnswer: d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 11:38 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*52\/8*-1*(-8)\/(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r. Let g be w(2). Let k = 102 + g. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 4*q + 1\/4*q**5 + 0 + 0*q**3 + 0*q**4 + 1\/2*q**2. List the prime factors of m(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + g - 4. Suppose 2*d + m - 216 = 2*m, -4*m = g*d - 196. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 3*l**2 - 5*l - 2. Let n be i(-4). Let w be 0 - (3 + 9\/(-3)). Suppose 0 = 2*h - w*h, 0 = 4*p + 5*h - 12. Solve n = -5*f - p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = -p, -43 = -3*p - 4*u - 9. Solve -5*v - p = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.855 - 10.145. Put 4, 2\/5, 2, h in decreasing order.\nAnswer: 4, 2, 2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(3 + -1)*3\/6. Let t(k) = k**3 - 3*k**2 - 2. Determine t(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/57 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*f - 21 = 0, -5*j + 3*f + 78 - 18 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 412102 to the power of 1\/2, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-70) - (-252)\/(-35)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*o = -43*o - 384. Suppose o = -2*s + 8*s. What is the remainder when 126 is divided by s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 9 = -3*o, -4*x - 1 = 3*o + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.4 and -7907.\nAnswer: 18976.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 3, a: 2, h: 7, w: 4}. What is prob of sequence kh?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 5*z**2\/2 - 2. Let n(a) = 28*a**2 - 54*a**2 + 19*a**2. What is n(q(y))?\nAnswer: -175*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(26\/(-15)) - 13*81\/(-702). Let f(h) be the first derivative of 5\/13*h**2 - 19 - 2\/39*h**3 - k*h. Factor f(o).\nAnswer: -2*(o - 3)*(o - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64587659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18043.4 milligrams?\nAnswer: 18043400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**3*k)\/(k\/(k\/(k**(2\/7)\/k))))\/(((k\/k**(-1))\/k)\/(k**(1\/8)\/k)))\/((k**(2\/3))**38)**(-3\/11) assuming k is positive.\nAnswer: k**(6005\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657*t + 18 = 675*t. Solve d + t = x, 3*x + 0*x - 5*d - 1 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 593.6236 minutes to milliseconds.\nAnswer: 35617416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 2:31 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 12 = -2*l, 5*l + 29 = 2*a + 1. Let n = l - -4. Let k(u) = u + 6. List the prime factors of k(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/26)\/((-15)\/(-70)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13219008 and 145664.\nAnswer: 52876032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v + 0*v**2 + 2*v**2 + 0 - 4*v + 16. Suppose -25*j + 26*j = 9. Calculate the remainder when z(j) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/26)\/(430250\/(-2684760)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -533*f**2 + 1430*f + 1. Let o(y) = 799*y**2 - 2146*y - 2. Let w(l) = 5*o(l) + 8*v(l). What is the second derivative of w(a) wrt a?\nAnswer: -538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -5*p**4\/4 - 2*p**3 - 1. Find the third derivative of y(g) wrt g.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a + 64. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x - 18. Let j be k(-5). What is the third biggest value in -2\/9, j, -4\/23, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00874186971 rounded to 6 decimal places?\nAnswer: 0.008742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**2\/2 + k. Let m(g) = 2*g - 1. Let s(b) = -m(b) - 6*p(b). Calculate s(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -571347 (base 8) to base 3.\nAnswer: -100211002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6853500 = -3*d - 87*d. What is d rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6461 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Let y(m) = 2*m - 1. Let u be y(k). Factor h**5 + h - h - 2*h**u + h.\nAnswer: h*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, b: 2}. Give prob of picking 1 b and 3 r.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 125 = -3*v, -66 = 3*v - q + 34. Let b = v - -78. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*v - 476 + 477, 0 = 4*s - 7*s + 5*v + 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (-16 - -10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a**3 - a**2. Let o be q(-1). Let r(u) = -u**2 + 5*u + 10. Give r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3922 (b) 1.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 4:10 AM?\nAnswer: 338","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8472*k - 76276. Give g(9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 68 + (-3 - 12)\/3. Suppose y*q - 68*q = -305. Let p = -12 - -21. What is the remainder when q is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.2, 3, 1, 0 in decreasing order.\nAnswer: 3, 1, 0.2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541 is divided by 2*-3 - -128*9\/18?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -12 - 5. Let k(y) = -7*y + 1. Let f be k(-2). Let r = -5 - -10. Solve -4*m - r*l - 4 = 0, -f - z = -4*m + 4*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1719, 6864, 15435, 27432?\n\"Answer: 1713*h**2 + 6*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**17\/k*k)*k*k**24\/k*k*k\/k**(-6\/13)*k*k*k\/(k\/k**(-1\/2)) assuming k is positive.\nAnswer: k**(311\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c + 2546 = 3050 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 5*a + 17, a - 7 = -5*u - 0*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-two fifths of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 8. Let u be s(-5). Does 8 divide ((-30)\/(-9) + u)*48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751152?\nAnswer: 2, 3, 15649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -210.1 - -8.1. Let a = -201 - t. Let j = -1\/5 - -1\/30. What is the closest to 0 in -5, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16 and 0.8822254?\nAnswer: 15.1177746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116647586.\nAnswer: 2, 11, 5302163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2104374\nAnswer: 2104373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*y - 6*y + 33*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 279\/45 + 2\/(-10). What is the greatest common factor of k and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -66, -1, 1\/65, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 0 - 976*d**2 + 971*d**2 - 1 + 1. Let g(r) = -15*r. Determine g(s(z)).\nAnswer: 75*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((1\/14*9)\/(114\/133)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4\/3 - 508*y**3 + 500*y**2 + 7588*y\/3 + 1520 = 0. What is y?\nAnswer: -1, 3, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 + 3*o**2 + 16*o - 7. Calculate q(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/21 - 55\/273. What is the nearest to z in 5, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2567 + 3645. What is the remainder when s is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 175121 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 12354*u. Let c(y) = -2*y**2. Calculate c(d(i)).\nAnswer: -305242632*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 545 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 133305.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 118092853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5.49298 (b) 5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*f - 9, f - 9 = 2*a - 0*f. Is 14 a factor of 5 + a + (52 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 10. Let f(b) = 2*b + 9. Let q = -1 + -4. Let y(o) = q*f(o) - 4*w(o). Calculate y(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 1. Let l(c) = -5*c**3 - 4. Let r(t) = -t**2 - 2*t - 1. Let h be r(-3). Let d = -28692 + 28693. Calculate d*l(o) + h*b(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 117 and -1516?\nAnswer: -177372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*q + 1057*a - 1059*a = -90, 2*q - 4*a - 12 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1136010 and 1710?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 324189690 a multiple of 735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14836 - 14825. Let o = 29 - -14. Calculate the remainder when o is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/325 - 331\/975. Let i = -0.06 - 0.24. Let t = i - 0.7. Which is bigger: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14257 - -67736. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**6\/120 + o**4\/24 - 647*o**2. Let m(p) = -9*p**3 - 3*p**2 - 6*p. Calculate -m(q) - 6*u(q).\nAnswer: 3*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 f, and 1 z when three letters picked without replacement from {q: 2, z: 5, f: 1, b: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1557000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33687*j**4 + 21096*j**2 wrt j?\nAnswer: -808488*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 50*u**2 + 1443*u + 32087. What is k(-35)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(((z*z\/(z*z\/z**(3\/5)))\/z)\/z)))\/z)\/z*z*z**(-5\/3) assuming z is positive.\nAnswer: z**(-61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/9 + 3998*l**3\/9 + 205678*l**2\/9 - 531754*l\/3 + 259540 = 0. What is l?\nAnswer: -57, 2, 5, 2049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.1 and -1.428355.\nAnswer: 2.671645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y. Let c(o) = o**2 + o - 1. Determine -c(u) + p(u).\nAnswer: -u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 980175 or 980176?\nAnswer: 980176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - sqrt(1815)*-1)\/(3*sqrt(15)\/sqrt(5)) - (sqrt(135)\/(sqrt(27)\/sqrt(3)))\/((1*sqrt(432) - sqrt(432)) + sqrt(432)))*-3.\nAnswer: -47*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 + 2*g**4 - 2*g**4)*(-2 + 1 - 1)*(-5 - 18 - 22)*(8 - 3 + 2).\nAnswer: 1260*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 43*c**2 + c - 3. Is u(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 17 - (-15)\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -48. Suppose 4*q - 2*q + 44 = 2*l, 0 = z*l - 5*q - 74. Calculate the remainder when 43 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) - (sqrt(156) + 3*sqrt(156)*4)))\/(sqrt(12)*3*-3).\nAnswer: -13*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/20)\/(3 - 4). What is the third biggest value in m, 2\/13, -0.02?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 + (-4 - -5) + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.9 - 0.9. Let g = 1.54 - 0.54. What is the nearest to 0.1 in -0.2, o, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 9*g - 855. What are the prime factors of g?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 14*d**2 + 123*d - 25. Let f be t(-9). Put 184, 0, 1, f in increasing order.\nAnswer: 0, 1, f, 184","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6367, 7941, 9515, 11089, 12663?\n\"Answer: 1574*y + 4793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -11\/4*a**4 + 0*a**3 + 0*a**2 - 14\/5*a**5 + 40*a + 0. What is the third derivative of q(o) wrt o?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 12:45 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109.1 * 0.15681.\nAnswer: 17.107971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*l + 44 = -522*l + 231*l. Sort l, 3, -35, 4 in ascending order.\nAnswer: -35, l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -582?\nAnswer: 57a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 8*n**2 + 9*n - 4. Suppose -q - 7 = 2. Calculate y(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m = 15. Let l be (-4)\/(-10)*m*-1. Sort l, 2\/21, -1 in descending order.\nAnswer: 2\/21, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 - 0.0464?\nAnswer: 207.9536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*b - 566 + 576, 20 = 4*b - k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/5 of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 7*a - 10. Let t be f(4). Solve -1 + 5 = t*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11863773?\nAnswer: 3, 17, 25847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12484*j**3 + 28551*j**2 - 2*j wrt j.\nAnswer: 74904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6 - (-664)\/12. Let l = -30 + c. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13667 smaller than -0.103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 9*h - d - 1070, 3*h - 4*d = 1058. What are the prime factors of h?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**3 + 6*x - 4. Let f = 28 - 31. What is the hundreds digit of o(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bibibbib. Give prob of sequence bi.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -97, -85, -73, -61?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -151 + 304. Suppose -f = -2*c - c. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 369 + -1378.00178348.\nAnswer: -1009.00178348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.968 - 0.032. Let l = -2649432 + 2649467.9999936. Let u = l + f. What is u rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*t - 94*t = 28. Let r be (24\/(-10) - t\/70) + 5. Solve 3*m = -i + 1, r*m + 12 = -4*i - m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c. Let x be h(0). Suppose 0 + 2\/3*o**3 + x*o - 4\/9*o**2 + 14\/9*o**5 + 8\/3*o**4 = 0. What is o?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60815428 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255576 is divided by 93.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 79*i - 717. Calculate s(78).\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m + 4*l = -113, 3*l - 84 = 3*m. Let b be 4\/(-10) + (-10)\/m. Let z = b - -4. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300401549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35047 is divided by 775?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 30 + 28. Let n be (-4)\/(-8) - h\/(-2). What is the greatest common factor of n and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -122212?\nAnswer: 122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Let n be ((-20)\/(-2))\/(2 - x). Let g be -1*(9\/(-2) - -4)*-22. Which is greater: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 10 (b) -478 (c) -0.2 (d) 0.2 (e) -1.35 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 8*x - 18. Let d be g(-2). Solve 42868*z**2 + 15 - 42863*z**d + 15*z + 5*z = 0 for z.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((3*sqrt(2592))\/sqrt(2))\/((sqrt(352)*-2)\/sqrt(11)))*4.\nAnswer: -27*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, g: 7}. Give prob of sequence gb.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 7*p**2 - 11*p + 6. Calculate the smallest common multiple of 3 and k(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26172362233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1529751.3 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7 + -13 + (-8 + -10 - -28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191 + 26. Let j = -6 + 4. Is j - (-1)\/((-3)\/v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 - -318. Suppose 3*h + h = c. Calculate the remainder when h is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 16*w**2 - 17*w + 4. Let u be j(14). Let q = u + -95. What is the highest common factor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -859.2 - -864.2. What is the closest to 2 in 0, 7, u, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11115404 (base 6) to base 8\nAnswer: -1221774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*s + 2. Let r be 1\/s - 21\/(-12). Let w be 3 + r\/((-2)\/(-27)). What is the highest common divisor of 12 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 9*x**2 - 22*x. Let t be q(-11). Sort 155, -1, -2, t.\nAnswer: -2, -1, t, 155","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.9 - 18. Let o = q + 1.3. Which is the third smallest value? (a) o (b) -2\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 886899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -328 - -61?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -239, -244, -231, -200?\n\"Answer: 9*h**2 - 32*h - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 604, 1208, 1808, 2404, 2996?\n\"Answer: -2*z**2 + 610*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 65680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21367393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 926*p - 1919*p + 966*p + 405 = 0 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (2 - (14 + -14))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 180294.6 millimeters in kilometers?\nAnswer: 0.1802946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7175 is divided by 1548?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**7\/2520 + r**6\/720 + r**5\/24 + 61*r**4\/6 - 2*r**2 + 96*r. Let k(a) be the second derivative of b(a). Determine k(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.1772, 16, 5, -3\/7 in decreasing order.\nAnswer: 16, 10, 5, -0.1772, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 96, 439.\nAnswer: 2, 96, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1042348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 10:36 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*v + 0)*(v**3 - 3*v**3 + 0*v**3) + 2*v**2 + 2*v**4 - 2*v**2 + 0*v**4 - v**4 - v**4 - 2*v**3.\nAnswer: -4*v**4 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/102 - (-22420)\/14535.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9.3, 1 in decreasing order.\nAnswer: 5, 1, -9.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6575031557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*z + z = -20, -p - 5*z - 19 = 0. Let y be ((-2)\/6)\/(1\/p). Factor -2*f**y + 2*f**2 + f**2 - 5*f**2.\nAnswer: -2*f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93\/6 - ((-9)\/(-2) + -5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143 a factor of 18685866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.868587 centuries?\nAnswer: 86.8587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 greater than or equal to 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-724)\/(-18) - 10\/45. Let v = u - 11. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(612) - (sqrt(612) + 2) - sqrt(612))**2 + (sqrt(17) + -5)*-2)*6 + 2.\nAnswer: 132*sqrt(17) + 3782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/190 - 162\/(-180).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 13.331 (c) -1\/2 (d) 0.0816\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**2 - 7*x - 2. Let k(j) = -20*j + 3 - 3 + 2*j. Let g be k(-1). Let s be 6\/g - (-40)\/6. Let f(q) = 4*q**2 - 6*q - 2. Give s*f(i) - 6*h(i).\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9389 - 9389 - 4085*t.\nAnswer: -4085*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3020390.149 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128634 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12467\/1365 - (-1 + (-34)\/(-30))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -468 - -664. Suppose -2*k - j = -16*k. Solve k*t - 4 = 12*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*10\/4*-2. Suppose 2*u - 7 = -19. Let g = u - l. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6213 = -17239. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 b, and 1 s when four letters picked without replacement from {o: 1, b: 3, s: 1, g: 7}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j + 12*j - 82 = 26 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**6 - 4385241*x**3 - 6559681*x**2?\nAnswer: -120*x**3 - 26311446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -39. Let m be (-1)\/1*(-35)\/7. Let i be 12\/m*c\/3. What is the highest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 946, -0.4, 1, 7\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c - 560 = 0. Let f = c - 181. Let g = -63 - f. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -14*x**2 - 3 + 21*x + 1\/3*x**3 + 5\/6*x**4. Differentiate t(g) with respect to g.\nAnswer: 20*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-6)\/18 - 88\/6. Which is greater: -44\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = k + 5*v, 4*k + 4*v - 3*v - 53 = 0. Let i = 25 - k. Solve q + 3*q = -i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - (-3*sqrt(112)\/sqrt(7) - sqrt(16)) - sqrt(48)\/sqrt(192))\/(sqrt(80)\/(sqrt(10) + -1*sqrt(1440))*5).\nAnswer: -429*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - q = -18*y + 72, -104*y + 54*y + 4*q - 60 = -53*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11.26 * -19889\nAnswer: 223950.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - -5. Suppose -11*u + 9*u + r = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 9*t - 16, 219 - 226 = -5*z - t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5931 times -16.214\nAnswer: 96165.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*f**2 - 2738\/11 + 148\/11*f = 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/318 + 150\/53. Let u = 5615\/1308 - -68\/109. What is the common denominator of u and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-37)\/(333\/405))*(-144)\/(-1*1)?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 67*m. Suppose 5*b - y = 53, 11*y - 6*y = 2*b - 35. Let h(q) = 10*q - b*q + q. Determine h(l(o)).\nAnswer: 67*o","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 7045.611 nanometers in meters?\nAnswer: 0.000007045611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10 - -1)\/((-2)\/80*-4)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6552 at most as big as 6554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.7 in 26, 2\/11, -1.4, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, 423, 612, 801, 990, 1179?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -21057879?\nAnswer: -21057879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 17*p**2 + 288*p + 2220. Calculate y(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - -3*(sqrt(209)*2 - sqrt(209) - sqrt(209)))\/(sqrt(77)\/(-2*sqrt(7))))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28783199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 1. Let i(u) = -47*u + 7. What is -i(a) + 5*j(a)?\nAnswer: 57*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1043573 divided by -6\nAnswer: 1043573\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*p**3 + 19568834 - 19568834.\nAnswer: -275*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = 2*x - 52 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 - 1.4. Let m = 2.3 - b. Let r = -3 - -5. What is the closest to -1 in m, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227101097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5649398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1495027805?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52296, 56228, 60160, 64092?\nAnswer: 68024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -31\/72*f**4 + 0 - 5\/18*f**3 - 17\/60*f**5 - 1\/40*f**6 + 0*f - 38*f**2. Factor a(r).\nAnswer: -(r + 5)*(3*r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r**3 + 0*r**3 + 4*r**3 + (-2*r**2 - 4*r + 4*r)*(8950*r - 17857*r + 7708*r) to m*r**2 + z*r + g + o*r**3 and give o.\nAnswer: 2395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 8*l + 35 = 5*g, 5*l = -5*g + 55. Let b(w) be the second derivative of w**3\/6 - w**2\/2 - w. Determine b(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, s: 4, i: 5}. What is prob of picking 1 i and 1 s?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**2 - 147*k + 192. Calculate the remainder when j(-25) is divided by 192.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594 - 111 = -235*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 320041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*b - 578 - 2522 = -181. Solve -14*i - 49 = -b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698472505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/63 + (24\/21)\/(-2). Let g = -0.65 + 0.55. Which is the biggest value? (a) h (b) g (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -14. Let h be 35 + (1 - 0) - v. Suppose -1 = -o + h. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = -2*g + 4, 5*n - 20 = 0. Solve 3*y - 3*z = g, -2*y = -0*z - 3*z - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3516818, 3516756, 3516682, 3516590, 3516474, 3516328, 3516146, 3515922?\n\"Answer: -w**3 - 55*w + 3516874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, 20, 32, 44, 56, 68?\n\"Answer: 12*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3336\/4448)\/(285\/(-160))?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 3*h + h + 2*h. Let d(i) = -2*i - 5. Let x be d(-8). Let p(b) = b**2 - b**2 + 5*b**3. Calculate x*r(t) - 2*p(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (2\/(-22) - 31752\/3564).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24633 - 12754. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 0*d**4 + 7\/3*d**3 + 23*d - 13\/20*d**5 + 0 + 0*d**2. Find the second derivative of l(z) wrt z.\nAnswer: -78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 21*b**3 - 59*b + b**3.\nAnswer: 22*b**3 - 61*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/229976 and -7\/8891?\nAnswer: 120277448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {y: 3, i: 9, j: 2, a: 2, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -3*o + 5*f - 9, 2*o + 3*f - 7 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*sqrt(1100) - sqrt(22)\/(sqrt(8)*-6).\nAnswer: -359*sqrt(11)\/12 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/21 + -20 + 12?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 348215188 to the power of 1\/3, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1. Let f(s) = -2*s**2 - 11*s - 5. What is f(h) - 4*x(h)?\nAnswer: -2*h**2 - 11*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 550428394677 + 0.1\nAnswer: 550428394677.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -167.\nAnswer: 1\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1674*g**2 + 67*g + 139. What are the prime factors of a(-2)?\nAnswer: 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*y - 92 = 86*y. Suppose -3*t + 5*k = 4*k - 821, -y*k - 554 = -2*t. List the prime factors of t.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 311 in -3, -8, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15928737361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + 1354020552?\nAnswer: 1354020525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 994\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, 1\/5, -5.591, 0?\nAnswer: -5.591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 > 0.33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmff. What is prob of picking 2 f and 1 m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -78, -122, -170, -222?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -24. Let c be (8\/(-3))\/(124\/(-1674)). What is the greatest common factor of c and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 26, 42, 58, 74?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -628, 5, -5, 4.\nAnswer: -628, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*o - 2*z, -4*o + 4*z + 4 = 8*z. Let q(n) = -n. Let s be q(-7). Let a = s + -3. Put 15, a, o, 0.5 in ascending order.\nAnswer: o, 0.5, a, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 0*u - 3*u + 0*u + 6*u - 4*u - 1 + u + 1 - 2*u + 5*u - u + (-4 - 1 + 4)*(0*u - 4*u + 2*u) + 2*u + 1 - 1 + (2 + 0 + 0)*(3 + u - 3).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24370, 48740, 73110, 97480, 121850?\n\"Answer: 24370*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -102090 or 1\/330?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 25. Let v = -10697663.000007 + 10697675. Let o = v + k. What is o rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57619962 to the nearest 1000000.\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*47149.045.\nAnswer: 23574.5225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/10 and -67\/26659161.\nAnswer: 266591610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-1)\/4*154\/11)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(448)*-3 - sqrt(448))**2.\nAnswer: 128*sqrt(7) + 7172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-19)\/w)\/(w\/(w\/w**(-10\/11))) assuming w is positive.\nAnswer: w**(-210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20934708?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 39 = 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -5*h**4\/24 + 11*h**3\/6 - 10*h**2. Let t be q(0). Calculate the remainder when (-2)\/t + (-1156)\/(-187) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4204993 is divided by 511?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 499199 to the power of 1\/2, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.048 + 0.008. Let n = 453 - 454. Which is the closest to n? (a) 1 (b) 2\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24551 and 514918.\nAnswer: 539469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 1910678\nAnswer: -1\/100562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 1. Suppose 0 = -5*c - 4*x - 539, -4*x - 230 = 2*c - 6*x. Let o = c - -108. What is the nearest to t in 0.9, o, -5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - 1 + 1 + (5 - 4 + 5 + (-1 - 1 + 4)*(0 - 1 + 2))*(-u + 0 + 0 - 4*u - 2*u + 4*u + (-u + 0*u + 0*u)*(2 + 3 - 6)).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0*j - 2*j**4 + 4*j**4)*(-7 + 14 + 2) - 2*j**4 - j + j + (-5*j**3 + 5*j**3 - 2*j**3)*(3*j - 5*j + 4*j) + j**4 - 3*j**4 + 0*j**4.\nAnswer: 10*j**4 - 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -8 + 0 + -9 + 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663640326 to the power of 1\/3, to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qolrrrnllraalrn. What is prob of sequence qoa?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, h: 11}. Give prob of sequence hggh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*a + 3*k + 1, -4*k = -a + 28. Does 19 divide (a - 13)\/(4\/(-3436))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2771021*m**3 + 75394*m + 31 wrt m.\nAnswer: -16626126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 855.3504*-0.1\nAnswer: -85.53504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1250096\/225 - -5556. What is the common denominator of m and -8\/25?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10811700752574 + -0.3.\nAnswer: -10811700752574.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4448018 (base 11) in base 13?\nAnswer: -18011c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 2*x**2 + 2*x - 4. Let i be w(5). Let n = -47 - -4. Let v = n + i. Calculate the remainder when v is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001706 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.58 + 0.1. Let l = u + 1.1. Round l to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (5 + -5 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a853 - 7a?\nAnswer: -a8cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, -0.1, 2\/3, -0.3 in decreasing order.\nAnswer: 2\/3, -0.1, -0.3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167550757*j**5 + 112820869*j wrt j?\nAnswer: 3351015140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -669*p + 275. Calculate the smallest common multiple of 16 and r(-9).\nAnswer: 12592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355253, 355845, 356437, 357029, 357621?\nAnswer: 358213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1. Let z(j) be the second derivative of -2*j**3\/3 + 3*j**2 - 5*j + 3. Determine -5*k(n) + z(n).\nAnswer: -4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -h + 27. Let k = -34 + h. Let v be (-1 - 11)\/((-12)\/8). Solve -k*r + 7 = -v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = a - 5*g, -2*g + 97 = 2*a - 93. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 17. Let z be k(12). Let l(d) = d - 7. Let v(f) = -f + 8. Determine z*v(x) - 6*l(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 4*z + 4*z)*(-2*z + 5*z - 4*z) + (-3 + 7 - 2)*(-4 + 4 + 2*z**2).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (32 + -19 - 12) + 20\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 424510477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Divide -467 by -4.\nAnswer: 467\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1721 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52496 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 13 + 14 - 2*m**2 + 890*m.\nAnswer: -2*m**2 + 890*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*d = 356, 4*d + 89 = o + d. Let m = 11 + -7. Suppose -x = -m*x + 69. What is the remainder when o is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Two letters picked without replacement from iiiisvoivsyiiviii. Give prob of sequence vi.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 911048043 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**2 + l. Let n(m) = -4*m**2 - 3*m - 3. Let k(p) = -7*p**2 - 5*p - 5. Let u(h) = 3*k(h) - 5*n(h). Determine c(u(g)).\nAnswer: -6*g**4 - g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1339 and 316342.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 359081 + 3765*z - 359081 - 3765*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -193810 + 490487. Let f = o + -29371484\/99. Let m = 217\/66 - f. What is the common denominator of m and 103\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 817076\/223 - 3664. Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 10*y + 24. Let s be w(12). Suppose 4*a - 3*a + 10 = s. Let g be ((-66)\/15 - -4)*a. Solve -g*b - b = -15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.18 + -1.78. Let d = -1.6 - w. What is the nearest to 0.3 in -0.1, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/214 and 28\/1803.\nAnswer: 385842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from {x: 1, o: 1, t: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -934 - -1869\/2. Let a = 0 - 0.2. What is the nearest to 2 in a, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5644096 by -16.\nAnswer: 352756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 12*k**2 + 5. Calculate x(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*j**2 + 19*j - 2 - 73*j**2 + 35*j**2 + 25*j**2 as b + n*j**2 + t*j and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1111232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 6:17 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -262*w - 1328. Let j be t(-5). Let n(y) = y**2 + 19*y + 41. Give n(j).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1021\/11 + 93. Which is the closest to 1? (a) -3\/7 (b) u (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w**3 - 3*w**2 - 2. Let d(q) be the third derivative of -q**6\/30 + q**5\/60 + q**3\/6 - 5*q**2. Give -5*d(a) - 2*v(a).\nAnswer: 2*a**3 + a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30402.\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 49*j**2 + 2020*j + 438. Determine y(-41).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c = -2*f + 22, 0 = -2*c + 8. Solve 3*w = -f*m + 2*m - 20, 2*w = -5*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 16. Let w = 0.9 - 1. Let f = 2.286 - 0.286. Put f, w, j in increasing order.\nAnswer: w, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*sqrt(5))**2*-5 + -3 + -3) + ((sqrt(15) - (sqrt(15) - -3*sqrt(540)))\/(sqrt(36)\/(2*sqrt(12))))**2.\nAnswer: 6325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2814933 is divided by 312768.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrtrrhtrrrtrtzrdr. What is prob of picking 2 r?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-2))\/((-9)\/12))\/(531\/(-59)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 34*b**2 - 33*b - 97. Does 28 divide y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 8*m**2 - 8*m - 5. Let x be t(9). Suppose -x*b = -b - 33. Let v = 22 - b. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/26, 0.5, -0.19, 2\/7?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2717 + 2724. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146559.\nAnswer: 3, 7, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/15 (b) -5\/27 (c) 4 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*x + 29 - 44 = 109 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -141, 871, 1 in decreasing order.\nAnswer: 871, 1, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11 + -0.61. Put 0, -0.05, g in descending order.\nAnswer: 0, -0.05, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5816011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)\/(-1*sqrt(8)))\/(-2*sqrt(512)).\nAnswer: sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 (base 6) in base 3?\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -56*-857390\nAnswer: 48013840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2\/9 - 46*a\/3 + 3703\/9 = 0.\nAnswer: -161, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 4 = 21*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 805783 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 - 10\/4. Let h be (1 - 2\/1) + -3. Which is bigger: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41*0.4158\nAnswer: -17.0478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 93169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 33*k**2 + 38*k + 54. Let j be x(32). Find the second derivative of -j*i + i**2 - 95*i + 17*i**3 + i**2 + 106*i wrt i.\nAnswer: 102*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 1262 + 100)*(3*k**2 + 1 - 2*k**2 + 0).\nAnswer: -1202*k**2 - 1202","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-35)\/20 - (-66)\/24)\/((-3)\/18). Let z(w) = 7*w + 7. Let d(l) = 6*l + 7. Give o*d(q) + 5*z(q).\nAnswer: -q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -t - 4. Suppose -4*u + t*l = -135, -3*u + l = -l - 96. Is u not equal to 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-57645)*-49945 + -39?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -259\/55 + 54\/11. What is the nearest to -2\/3 in c, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045698307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79488509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 2)*(4 - 5 - 5)*(4*d**3 + 0*d**3 - 6*d**3) + (-4*d**2 + 3*d**2 + 3*d**2)*(-d + 0*d + 2*d) to s*d**3 + c + h*d + b*d**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.95833 centuries in decades?\nAnswer: 69.5833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -1 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**5\/120 - 5*l**4\/72 + 2*l**3\/9 - l**2\/3 - 130*l + 9. Factor j(x).\nAnswer: (x - 2)**2*(x - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137 or -2308721?\nAnswer: -2308721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516 + 2681 - 4*m**3 + 2684 - 5881.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 23*c + 28*c**2 - 27*c**2 - 7*c. Let o be z(-14). Let q = 45 + o. Solve 3*d - 5*m = -q, 3*d - 2*m = -2*d - 22 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34177522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6267916 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7253*d - 3. Let x(h) = 21752*h - 10. Give 7*n(f) - 2*x(f).\nAnswer: 7267*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + t. Let d(i) = -35*i**3 - 6*i**2 - 6*i. Calculate -d(w) - 6*p(w).\nAnswer: 35*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joiijvvjoyoijvvvvivd. What is prob of picking 1 v and 1 o?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -18*2\/(-4) - 1. Let b(v) = v**3 - 8*v**2 - v + 8. Let m be b(u). Let p be 10*((-6)\/(-4) + -1). Sort p, m, 1 in decreasing order.\nAnswer: p, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037 - 1013 = -6*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 5\/2 (c) 3 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123568 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 8*w**2 - 9*w + 11. Let f be i(9). Suppose 0 = 3*v + 5*u + 13, 3*u + 0 = -v - f. Let p be 7\/2 - (-2)\/v. Solve 15 + 1 = -p*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-8\/11)\/(j**(13\/2)*j**0\/j) assuming j is positive.\nAnswer: j**(-169\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38368*j**3 + 19183*j**3 + 19193*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*m - 1320 - 471 = 302 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24328 by -1499.\nAnswer: 24328\/1499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 6, e: 6, z: 3, k: 1}. What is prob of picking 1 a and 1 z?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -80 + -a?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*h**4 - h**2 - 3\/2*h**3 + 0*h.\nAnswer: -h**2*(h + 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1879 - 43859657364.\nAnswer: -43859657362.8121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c**2 - 8*c + 6. Let d(s) be the third derivative of 1\/6*s**3 + 3*s**2 + 0*s - 28 - 1\/24*s**4 - 1\/60*s**5. What is 6*d(h) - f(h)?\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/2)\/((-18)\/13944). Is i <= -1161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18205 - 8916 - 9286 - 24*r.\nAnswer: -24*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2642 + 2638. Sort 0.4, u, 0.2, 9 in descending order.\nAnswer: 9, 0.4, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = 5*c. Suppose -3*b + 22 = -5*b + 4*q, -4*q = -16. Sort c, -5, b in increasing order.\nAnswer: -5, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 6*f - 28*f - 6*f as w + l*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -9*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -3\/5, 0.017, 3.\nAnswer: -3\/5, 0, 0.017, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i - 9. Let h(x) = x + 5. Let n(a) = -5*a - 26. Let r(t) = -11*h(t) - 2*n(t). Give -6*l(c) + 17*r(c).\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38791, 38777, 38731, 38635, 38471?\n\"Answer: -3*s**3 + 2*s**2 + s + 38791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 28. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**4\/w)**16)**(-27))**(-8\/11))**(21\/4) assuming w is positive.\nAnswer: w**(54432\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 4*j**3 + 7*j**3)*(3 - 6 - 6)*(-2 + 5 - 4).\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -844*b**3 + 91*b**3 + 754*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -60325 + 4?\nAnswer: -60321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 1. Let i(u) be the third derivative of u**4\/3 - 4*u**3\/3 + 9*u**2. Calculate -2*i(m) - 18*s(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213601?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/2*(-12)\/(-18) + 4. Let g(b) be the first derivative of 1\/2*b**2 + 0*b + 0*b**n - 4 - 1\/2*b**4. What is the second derivative of g(k) wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**3\/3 - 6*h**2 - 7*h + 1. Let q be g(-11). Solve 0 = 3*w - q*k, -w - 8 = -6*k + 2*k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 98476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16473562 divided by 14?\nAnswer: 1176683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 14*q - 9. What is p(9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 6:02 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2527605*d**3 - 10138860*d**2 + 113840*d - 320 = 0 for d.\nAnswer: 4\/711, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 228 in descending order.\nAnswer: 228, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1700) + (sqrt(1700) + (sqrt(1700) - -3*sqrt(1700)))*4 + sqrt(1700) - (sqrt(1700) - (-2 + sqrt(1700) + 2 + sqrt(1700)))))**2.\nAnswer: 1380*sqrt(17) + 899309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/3553 and (((-2)\/24)\/(19\/(-6)))\/((-51)\/20)?\nAnswer: 10659","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -2*o**6\/3 - 8*o**5\/5 + 8*o**4 + 24*o**3 + 18*o**2 - 269. Determine d so that a(d) = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.7279 to 2 decimal places.\nAnswer: -5.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -43222985 > -43222987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 + 55*x + 1425.\nAnswer: (x + 30)*(x + 190)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 23*t**2 + 18*t - 2. Let a(y) = -y**2 - 1. Let m(s) = 2*a(s) - c(s). What is the second derivative of m(v) wrt v?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/72 + (-4780)\/(-7648).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*d**3*g - 4*d**3 + 287*d**2*g - 1332*d**2 - 114*d*g + 25*d - 10 wrt g.\nAnswer: 29*d**3 + 287*d**2 - 114*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -188469\/14 > -13463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14335 - -13057?\nAnswer: -1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -83. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t + 1. What are the prime factors of s(12)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/21)\/w**(-2\/15)*w*w**(-7)*w*w**(5\/4))\/(((w**(-5)*w)\/(w*w\/(w\/(w\/((w*w\/w**(-2\/15)*w*w*w)\/w)))))\/(w**1\/(w\/w**5))) assuming w is positive.\nAnswer: w**(281\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1480, -1471, -1438, -1369, -1252, -1075, -826, -493?\n\"Answer: 2*p**3 - 5*p - 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -5. Let i = -2.7 - s. Let n = -3\/26 + 47\/182. Which is the biggest value? (a) i (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/11, 5, 1\/307, 3\/5 in descending order.\nAnswer: 5, 3\/5, 1\/307, -2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x**2. Let w(q) be the third derivative of 449*q**5\/20 - q**2 + 5978. Determine w(d(k)).\nAnswer: 134700*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 + 40*c + 9. Let m be a(-10). Let j be (8\/(-12))\/((-2)\/6). Suppose -5*o + 15 = 0, o + j*o - 54 = -5*x. Is m bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 392.1 and 4.\nAnswer: 396.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 323053?\nAnswer: -323055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7409 and 4?\nAnswer: 6.9636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/54669348 and 37\/10719480?\nAnswer: 546693480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 10:56 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 168 = -10*q. Let m = -790 - -838. Calculate the greatest common divisor of m and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 9. Suppose -x = 0, 3*i + x - 15 = 6*x. Suppose i*n + 5*c + 20 = 0, -n + 4*c + 0*c = 14. Is n equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148323 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 6*x. Let k be u(6). What is k rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 - 29*i**2 - 50*i + 24. What is d(-13)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 plus -452.53?\nAnswer: -452.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -119*y - 600. Is h(-12) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n = -39*n + 17. Suppose 4*p - 46 + 18 = -4*f, 4*p = 3*f + 21. Let h = n + p. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-24) + (-2)\/6. Suppose -6*q + 0 = -24. Suppose q*b = -b. What is the third smallest value in b, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17137231 divided by -5?\nAnswer: -17137231\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 - -347. Suppose -2*w + 10 + 88 = 0. Let y = o - w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - 1430422041?\nAnswer: -1430422103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.55 (b) 0.298 (c) -0.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -293, -295, -297, -299, -301?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35550 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r. Suppose -2 = -d - 0. Let u be (-13 - -17)\/((-1)\/d). Let m(j) = 14*j. What is u*x(h) - 3*m(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-567))\/(174\/(-5481))?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -25, -27, -43, -79, -141, -235?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 237\/2*w**2 + 0*w**3 - 2\/5*w**5 + 0*w**4 - 1\/6*w**6 + 0*w + 227. What is the second derivative of j(y) wrt y?\nAnswer: -20*y**3 - 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**4\/2 + 5149*r**3\/2 - 169642*r**2 - 9201214*r + 6208776 = 0 for r.\nAnswer: -1778, -36, 2\/3, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2\/4 - 3361875*z\/4 - 10085571\/2 = 0. Calculate z.\nAnswer: -1120619, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h - 9*h + 2*h + (10 - 10 - 7*h)*(1 + 13 - 2).\nAnswer: -87*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1164?\nAnswer: -1\/582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-240 - 50 - 11)*(3*u**3 - 4*u**3 + 2*u**3)*(-1 - 5 + 5).\nAnswer: 301*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3100756854?\nAnswer: 2, 3, 13, 17, 283, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78433 and 21043.\nAnswer: 862763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 9:49 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 1. Let i(w) = 6*w**3 - 5*w**2 - 2*w + 2. Let a(m) = i(m) - 2*k(m). What is the third derivative of a(z) wrt z?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 66. What is the closest to -1 in 6\/11, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 + 74. Differentiate -17*b**4 - 5*b**4 + 15 + b**4 - 32*b**p wrt b.\nAnswer: -212*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46200309917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 4:51 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j = 0. Suppose w - 4 = -w - 3*n, 0 = w + 4*n + 3. Which is the nearest to -1? (a) w (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 20*i + 21. Calculate m(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 299783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2677\/((-19)\/(-17) - (-10)\/(-85))?\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -1 - 15\/(-3). Let y be 1*(j + 6\/(-3)). Let d(f) = 3*f**2. What is d(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -5. Let h be 3\/a - 5\/(-3). Suppose -d = h*d - 12. Solve 9 = o - d*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 68858193 to the nearest ten thousand.\nAnswer: 68860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**5 - 5*i**4 + 3*i**3 - 5*i. Let n(y) = -y**5 - 2*y**4 + 2*y**3 - 3*y. Let r(p) = 5*n(p) - 3*z(p). Find v, given that r(v) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/36)\/(4\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6043 = 5*a, -12*m + 1206 = a - 15*m. What is the greatest common factor of 124 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -272980243 + -3?\nAnswer: -272980246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 7 = -90817524*c + 90817525*c, -5*n = -2*c + 8 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (0 - 0) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(((-1)\/(-1))\/3). Which is the closest to -1? (a) v (b) 0.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 1:45 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.8 - -8.3. Let p = 281.883 + -282. Let b = 0.017 + p. Does g = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 - 5. Let u(k) = -3 + k**2 + k**2 - 8*k**2 - 4. Let h(s) = 5*u(s) - 7*z(s). Let h(q) = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, j: 6, a: 8, x: 2}. Give prob of sequence axs.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5670)\/(-280)*(-56)\/(-3). Suppose -2*h + 2*g + 1008 = 202, -h + p = 4*g. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 2 = k. Suppose -2*n - 4*w = -383 + 387, -2*n + 2*w + 8 = 0. Solve 0 = 5*q - n + k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyy when three letters picked without replacement from {y: 3, u: 5, o: 4, c: 2, f: 5}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15\/2, 2, 7, 5.66?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 6 + -1 - -1. Suppose l*o + o = 0, -2*o = 2*f - 6. Suppose -f*t = -4*t - 290000. What is t rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*l + 40*l - 102 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**3*t**3 - 68*f**3*t**2 + 1072*f**2*t**3 - 112533*f**2*t**2 + 283*t**3 wrt t.\nAnswer: -18*f**3 + 6432*f**2 + 1698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0078 minus -11?\nAnswer: 10.9922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 10:26 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 12:29 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2\/(-12) - (-1265)\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 274887 and 152715.\nAnswer: 1374435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 2:51 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3312 and 1635507.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 12*o - 10*o - 43969, 0 = -2*c + 4*o + 17602. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046966819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 9, -37, -93?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -122e (base 15) in base 3?\nAnswer: -12022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271 + 270 - r**2 - 541.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 11*b**2 - 6*b + 5. Let i be f(10). Let l = i - 87. Let u be 3\/(-15) + l\/(-10). Is u greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26529 and 2665089?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 10, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - i - 13 = -2, -1 = -4*j - 5*i. Suppose 0 = -4*p - 3*y + 485, -j*p + 108 = y - 387. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f*f**(3\/5))**(-2\/63) assuming f is positive.\nAnswer: f**(-8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 7*x**2 + 2*x - 2. Let k be u(7). Let h be ((-18)\/k)\/(1\/(-2)). Suppose -m + 50 = -4*t, 2*m + h*t - 110 = 6*t. Is 29 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l + 78. Let x be i(-20). Solve 3*r - v - 10 = -x, r = -5*v - 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + -1 - (0 - 2). Let w(l) = -o*l - 2 - 2*l**2 + 9 + l**3 - 5*l**2 + l**2. What is the units digit of w(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 0)*(0*r + 8*r + 3*r) + (4 + 2 - 4)*(-r - r + r + (3 - 3 - 2*r)*(4 - 4 + 2) - r + 4*r - 4*r))*(450*r**2 - 450*r**2 + 38*r**3).\nAnswer: -38*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98888455?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15960308 and 1141?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 39. Let z be 129*(30\/x)\/(-5)*-6. Let n = z - 24. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 2)*(-3 + 2 + 3) + 4 + 1 - 3)*(17*w**2 - 130*w + 130*w)*(-34*w**2 - 186 + 186).\nAnswer: -2312*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 7*h - 11)*(-6*h**2 + h**2 + 2*h**2 + (-1 - h + 1)*(0*h - 3*h + 6*h) + h - 2*h**2 - h).\nAnswer: -56*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913442.\nAnswer: 2, 29, 15749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a factor of 33058907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 26468025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-3))\/(-8)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/2*(-8)\/(-12). Suppose 2*q - q = 4*p + 2, 0 = a*q - 2*p - 26. Let v = q - 7. What is the remainder when v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 90*l**2 - 296*l + 26. Calculate i(3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (7 + 11 + -14 - 5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 80\/(-30)*(-9)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -23. Suppose -5 + 9 = j*i. Let s(o) = 2*o - 1. Let n be s(2). Solve n = -k - i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -408875*m + 408876*m - 7, 72 = -15*m + b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i - 28 + 28)*(i**3 + 0*i**3 + 0*i**3 - 5).\nAnswer: 10*i**4 - 50*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*sqrt(136) - sqrt(136)) - sqrt(136))\/(sqrt(56)\/(sqrt(21)\/sqrt(3))).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 2*s. Let x be d(-3). Let z be (2 + 3\/x)*4. Find the second derivative of 0*r + 0*r**4 - r**z - 2*r wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88963184426 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*p + 154, -p + 0*p = 2*t - 31. Suppose -p = -5*c - 17. What is the second derivative of 22*o**3 - 9*o**3 - c*o + 0*o + 7*o wrt o?\nAnswer: 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519799 is divided by 1339?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 974 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + p = -505. Let k be p\/(-3) - 8\/(-12). Let h = 53 + k. 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 j(q) be the first derivative of q**4\/120 - q**3\/15 + q**2\/5 + 17*q + 15. Let i(x) be the first derivative of j(x). Find d such that i(d) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 j, and 1 i when four letters picked without replacement from jiwjw?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 13. Let d(s) = 14*s**2 + s - 1. Let a be d(1). Suppose -v*m + a = -m. Solve 2 = 3*y + 6*o - o, 5*o - m = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017724047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 - 13 - 19)*(-4*h**3 + h**3 + h**3) as c*h + b + n*h**3 + w*h**2 and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72509849*t + 2*t**2 - 72509849*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 216159639931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 3)*(1 - 1 - q)*(194*q - 8897 + 8897) + q**2 - q**2 + 5*q**2 in the form p + m*q**2 + k*q and give m.\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**3 + k**2 - 9*k - 4. Let a(g) = 10*g**3 + g**2 + g + 1. Let x be a(-1). Let t(f) = -f**3 - 2*f - 1. What is x*t(p) + 2*m(p)?\nAnswer: -p**3 + 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 35. Let v be k(13). Let f be ((-48)\/15)\/4 - -1. Let 2*z**2 + 4\/5*z - 1\/5*z**3 - f*z**5 - 8\/5 - 4\/5*z**v = 0. What is z?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 82*l + 38536 = -79*l, 3*o - 23112 = 3*l. What are the prime factors of o?\nAnswer: 2, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-1 + 0 + 0)*(712*l**4 + 1824*l**4 + 1719*l**4 + 193*l**4).\nAnswer: -8896*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -2*h + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(28)*-2)\/(sqrt(8)\/sqrt(2)*4))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -288 + 366. Calculate the remainder when s is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.1 * -0.11\nAnswer: -2.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14912 and 386.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1677108 to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, m: 2, t: 3}. Give prob of sequence mg.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 4. Let h = -1\/2106 - 4127\/179010. Let a = h + -81\/170. Do g and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -4*w**3\/3 - 8*w**2 + 180*w + 80. Let a(o) = 0. What is o?\nAnswer: -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2050501168 rounded to the nearest 100000?\nAnswer: -2050500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 27*a**5\/20 - a**4\/12 - a**3\/3 - a**2\/2 - 8*a. Let v be j(-1). Let t = -9 - v. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/6 + 365*z**2\/6 - 11041*z\/2 - 11163\/2 = 0 for z.\nAnswer: -1, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 45*w**2 + 12*w - 190. Let j be y(-23). What is the greatest common factor of 23121 and j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*i - 187 = -134*i. Calculate the remainder when (92\/3)\/(i\/51) is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*o + 2*x = 59*o - 2, 3*o = -4*x + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -31*q**2 + 273. Let l(i) = i - 35. What is c(l(r))?\nAnswer: -31*r**2 + 2170*r - 37702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 30273.4.\nAnswer: 30273.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32142 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2343024549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3 + 4 - 5\/3). Suppose 36 = q + 5*g, -9 - 27 = -u*q + 3*g. Which is the third biggest value? (a) 0.3 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 91 - -1887?\nAnswer: 1948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09342 rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105.8253 - 104.625253. Let r = 1.2 - t. Round r to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1845 + 0.3423. Let q = f + -0.0578. Let o = -0.6 - -0.9. What is the nearest to q in 1, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 5:23 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3))**(-3))**(19\/5)\/((l*l\/l**(-1))**(-18))**(6\/5) assuming l is positive.\nAnswer: l**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 91 = -27. Let a(n) = 76*n**2 - 56*n - 32. Let j(x) = -7*x**2 + 5*x + 3. Let d(b) = v*j(b) - 3*a(b). Factor d(p).\nAnswer: -4*p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -20 in increasing order.\nAnswer: -20, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95904 and 59200.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 19*l + 48. Is d(17) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -13. Let o(q) be the third derivative of -1\/30*q**3 + 0 - 1\/60*q**4 + 0*q - 1\/300*q**5 - g*q**2. Solve o(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1)\/(635\/(-3705) - (-2)\/13) and 3?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 4*d + 4. Let y be 4\/22 - (-42)\/11. Calculate k(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63.52 - 63.35. Let g = 0.05 - 0.02. Does q = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = 13. Suppose 0 = -f*d + 9 + 31. List the prime factors of d + (2 - 1) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1332 and 3422204.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(((-265650)\/3519)\/(-55)).\nAnswer: 51\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -294.2630558 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c + 16*c + 3*p - 517, -5*c + 651 = -p. Suppose 124*a = c*a - 31566. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4639*t - 473*t + 2 - 1475*t - 1354*t.\nAnswer: 1337*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2\/3, 0.3 in descending order.\nAnswer: 0.3, 2\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.549682 rounded to one dp?\nAnswer: 35.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1030*b + 1027*b + d + 6 = 0, 5*d - 10 = 5*b. Solve -2*w + 22 = -0*t + 4*t, -24 = -b*w - 4*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8356.\nAnswer: 2, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Let b be 7 + 58\/(-8) - (-9)\/4. Let j(c) = 0*c + 0*c + 5763*c**2 - 5590*c**b. What is j(l(m))?\nAnswer: 173*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2880 (base 10) in base 14?\nAnswer: 109a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511651399?\nAnswer: 7, 19, 23, 167261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3651 and 5517?\nAnswer: 6714189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 15644176*c**2 - 531898516*c - 4521127560.\nAnswer: -4*(c + 17)**2*(c + 3911010)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-41 + 52 + 37).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2685.\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/2)\/1)\/(21*(-51)\/238)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-98)\/(-8) - 53\/212. Solve -2*n - 5*z + 14 = 0, 4*z - h = -2*n - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1236 take away 120?\nAnswer: -1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**4\/4 - 7*z**3\/3 - 5*z**2\/2 - 21*z - 2. Let u be f(8). Solve u*i = -4 - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 704531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -3 + 0 + 6. Let w(c) = 3*c - 57. Let j be w(18). Let u be ((o - 2) + j)\/((-17)\/15342500). What is u rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, 3\/2, 17\/83, 1\/4?\nAnswer: 17\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 + 0)*(-1 + 1 - u) - 7*u + 3*u + 0*u)*(3*u - 5*u + 3*u)*(-4*u + 4 - 4).\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - r + 1. Let h(k) = k**3 + 5*k**2 + 4*k - 5. Let o(w) = h(w) + 4*m(w). Let i be o(-1). Let y = 2 + -2. Is i < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3180 divided by -636?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -40, -64, -92?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (182*c**3 + 142*c**3 + 222*c**3 - 109*c**3)*(3*c + 2*c + 4*c).\nAnswer: 3933*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(234))\/(sqrt(2)*1*-6))**2*-6.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**3 - 202570*o**2 + 2051325045*o + 8208541620 = 0.\nAnswer: -4, 20259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**2*o*r**3 - 286*b**2*o*r**2 - 2*b**2*r + 640*b*o*r**3 + 98*b*r**3 + r**3 wrt b.\nAnswer: -8*o*r**3 - 572*o*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 25*r**3 + r**2 + 7*r + 4. Let i be q(-7). Let m = 8159591\/952 + i. Let p = m - 39505\/2856. Calculate the common denominator of p and 55\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41*z**4 + 137 + 36*z**4 + 65*z**4 wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*15936682.\nAnswer: -270923594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**3 + 4105*q**2 - 1102495*q + 96237395 = 0. What is q?\nAnswer: 199, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 13 - -3 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 15*b - 6. What is the lowest common multiple of 55 and k(8)?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (189\/(-30))\/3\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m - 6*m**2 + 0*m - 7 + 6*m - m + m**3. Let p be l(5). Suppose -22*t + p*t = -26400. Round t to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from {s: 4, p: 1, m: 2}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - -91. Let h(b) = b**3 - 10*b**2 + 10*b + 11. Let j be h(9). Calculate the greatest common factor of j and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -6*s + 2*s. Let q be s\/(-8) - 220\/(-16). Let n(y) = y**3 - 2*y**2 - 2. Let b be n(3). Calculate the highest common divisor of q and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 - 4*v + 4. Let x be r(-4). Suppose 0*s + x = 4*s. Calculate the remainder when 50 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13232 (base 4) to base 2\nAnswer: -111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 7*y**2 + 7*y. Let c be u(8). Let w = c - 12. Let t = 35 + w. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51296138.\nAnswer: 2, 67, 382807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7565, -7564, -7563?\nAnswer: -7562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**2*p**2 - 33*k**2*p + 8*k**2 - 48*k - 7*p**3 wrt p?\nAnswer: -4*k**2*p - 33*k**2 - 21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 4 = 18*n. Let s(h) be the first derivative of -5\/3*h**3 + 2*h**2 - 2 - n*h + 1\/4*h**4. What is s(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -27*c - 98. Let w = -48 - -105. Calculate the remainder when w is divided by f(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 0*d + 4*d**2 - 5*d**2 + 8*d - 4. Let b be o(6). Suppose -2 + b = 3*m. Solve 0 = 4*i - 5*i + 4*x + 17, -i + x + m = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 709, 710, 707, 700, 689, 674, 655?\n\"Answer: -2*v**2 + 7*v + 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*o - 38 - 25, -57 = 5*a + 3*o. Let g = -9 - a. Suppose 6 = g*j - 0*j. Solve -j*f = 2*f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 64?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107666 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 74. Calculate r(-16).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*l + 98, 5*t - 106 = -4*l + 2*l. Let p = -4 + 15. What is the greatest common factor of p and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 - 36*h**2 - 3*h + 11. Is p(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 8*x + 9*x**2 - 3 + 13*x**2.\nAnswer: 22*x**2 + 8*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10*j**2. Let n(m) be the second derivative of -m**3\/2 + 27*m. Give n(v(x)).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242, -4, 165 in descending order.\nAnswer: 242, 165, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1355 - 1350. Solve -29 = 5*k - 4*y, 0 = -j*k + 3*k + 5*y - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (398*g + 387*g + 435*g + 95*g)*(-g + g - g**2).\nAnswer: -1315*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 6 + -7 + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hquiiqiiqqqgt. What is prob of sequence hqqi?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -7177*t**6\/120 - 1787*t**3\/2 + 3312*t**2. What is the derivative of q(m) wrt m?\nAnswer: -21531*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -24 (b) -2\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvm when three letters picked without replacement from mmmmmmvmvmmmm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q. Let f(s) = s**2 + 10*s + 16. Let m be f(-8). Let g(x) be the second derivative of m*x**2 + 0*x**3 + 0 + 1\/6*x**4 + x. What is g(v(t))?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 3*k - k)*(k**2 + 17*k**2 + 7*k**2) + (5*k - 3*k - k)*(-15*k**2 - 6*k**2 + 85*k**2) + 2*k**3 - 8*k**3 + 2*k**3.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-18) - (-2)\/(-4). Suppose 3*w - 195 = -4*u, x = 3*u + 3*w - 2*w - 140. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3054 = r + 2*x, 2*x + 1729 = r - 1325. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*y**3 + 161*y**3 - 87*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -35?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10954692 is divided by 10483?\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.3 + -47. Let a = o - 8.3. Let g = a - -44.62. What is g rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1227\/(-409))\/((-4)\/((-228)\/9))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/(y**(2\/21)*y)*y*y)\/y)\/y*y**(6\/5))\/((y**(13\/2)*y)\/(((y*(((y*(y**(-3\/23)\/y*y)\/y*y)\/y)\/y)\/y)\/y*y)\/y*y)) assuming y is positive.\nAnswer: y**(-31519\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -790 - 3?\nAnswer: -793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1429*d - 1390*d = -390 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*j + 66*j - 33001294 = -10175062. What are the prime factors of j?\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 41\/12*n**3 + 0*n**2 - 13 + 1\/24*n**4 - 5*n. Factor z(g).\nAnswer: g*(g + 41)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1*10\/(-25)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 8 + 5)*(0*o - 3*o + o) + 5 - o - 5 + 2*o - 6*o + 3*o + (-1 + 2 - 3)*(o + 2*o - o).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/46 + ((-15)\/10)\/(8\/16)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**5\/5 + 2*g**4 - 17*g**3\/3 + 5*g**2 + 187. Let o(n) = 0. What is n?\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5094 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119*j**2*y**3 - 38*j**2*y**2 - 5*j**2 wrt y.\nAnswer: 714*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.3, 0.06, 1\/34, 0.1, 0.2?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/sqrt(108) + (2 + sqrt(17)*-3)**2 + (sqrt(17) + sqrt(17) + sqrt(1700) + sqrt(1700)*4 - (sqrt(51)\/sqrt(3) + -1)).\nAnswer: 158 + 118*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -276*n - 1651. Let c be m(-6). Solve c*q = q - 24 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 90. Let t = a + -14. Let x = 22.00067 - t. Round x to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 6\/53, 3, 0.2, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + 451*g**2 - 17831*g - 15848. What is i(174)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1847 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15238 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17568)\/(-6588)*(-4)\/(128\/30).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6647467027 a multiple of 4038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/2*(-920)\/230*2\/(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18258 - -26130. What are the prime factors of p?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.6 - -92. Let l = t + -122.6537. What is l rounded to three dps?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 67. Suppose -192 = -3*p + 3*g, -2*p + h = 3*g - 86. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/11076 and 125\/364.\nAnswer: 77532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + -1*sqrt(180))\/sqrt(10)*4)\/(1*sqrt(150) + -3*-1*sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.4, -31\/4, 0, 1235\/23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 79, -9, 46 in decreasing order.\nAnswer: 79, 46, 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Let n be -1 + 4 + 0 - -1. Suppose d = -0*h + n*h - 16. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -292 or -255?\nAnswer: -292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2251127, 2251118, 2251109?\n\"Answer: -9*h + 2251136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 29*u**2 - 3*u + 9*u**2 + 6 - 41*u**2 - u. Calculate g(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73 or -223\/3?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.68389 and 0.0139.\nAnswer: -5.66999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/3234 and -119\/30.\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3756 is divided by 408.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -338.216 to zero dps.\nAnswer: -338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -16, -1\/5, 0.2, 2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 729*h + 4342. Calculate z(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3180 - -3200. Calculate the remainder when 637 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 549*j**4 + 14*j**2 + 17*j?\nAnswer: 13176*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 2*n**2 + n + 2*n**2 - n + (-4*n + 0*n + 2*n)*(0*n - 3*n + 2*n) + (10*n - 10*n + 4*n)*(0*n - n + 0*n) as w*n**2 + s*n + m and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, 1\/2, 0.07, -3, -0.08?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 7. Let c be i - (-3)\/(-4*(-12)\/6848). Suppose -2*d + 5*d = c. Calculate the greatest common factor of d and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 484198 and 176072.\nAnswer: 1936792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (229*d**3 - 4*d + 1 - 181*d**3 + 2*d)*(-8 - 2 + 1) as p*d + m*d**2 + t*d**3 + n and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 205\/6 + -512\/15. Let y(i) be the third derivative of 1\/6*i**3 - i**2 + 0*i**4 - k*i**5 + 0 + 0*i. Calculate y(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 499, 996, 1505, 2032, 2583, 3164, 3781, 4440?\nAnswer: 5147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) 44 (c) 155 (d) -2\/19 (e) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 122 (c) -77 (d) 1\/8 (e) 7 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159666.\nAnswer: 2, 3, 13, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -191 (b) 4 (c) -0.5 (d) 85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-3)*1013\/3039?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 38. Let t(q) = -1. Calculate 2*k(u) - 2*t(u).\nAnswer: 4*u - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 18*u - 2*u.\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 5*a**2 - 2*a + 15. Suppose -503*z = -536*z + 99. What is i(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -626715*f*h - 839135*f - 2*h**2 with respect to h.\nAnswer: -626715*f - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-431)\/(-10))\/((-22)\/605). Let w = a - -1174. What is the common denominator of 103\/10 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 33*a**2 + 10*a - 704. Let n be v(-32). Solve n*m - 1\/4*m**2 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272226 divided by -45371.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21201 (base 3) to base 11\nAnswer: 17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100131 (base 4) to base 3.\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126879?\nAnswer: 3, 42293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1098 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + -7 + 6 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, -189, -532, -1029, -1686, -2509?\n\"Answer: -d**3 - 68*d**2 + 16*d + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -1. Let f be (-338)\/(-616) - 21\/28. Let x = f + 17\/22. Which is the nearest to 1\/4? (a) 4 (b) x (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.056 - 2302048.339638\nAnswer: -2302048.283638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (8 - ((266 - 264) + (1 - 7))) - 30?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 958099126 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3301.486408 to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 8)*-2 + -3. Find p such that -104*p**4 - 2*p**3 + 99*p**4 + l*p**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**3 + 61*z + 5*z**3 + z**3.\nAnswer: -5*z**3 + 61*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22276 and -1078.\nAnswer: 21198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6\/5)*x)\/x)**(-5\/7)*(x**(-12))**9 assuming x is positive.\nAnswer: x**(-750\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-1)*(-12 - -2). Let t = i + -36. Suppose t*v + 0*v = 2*o + 6, 4*o - 18 = -2*v. Solve 2*m = -5*d + 3*d + 4, -5*d - v*m + 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/147, -1, 0, -4.\nAnswer: -4, -1, -0.5, -2\/147, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4040 + 4039.99996621. What is m rounded to 6 dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354135?\nAnswer: 3, 5, 23609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z = -3*n + 39, 0 = -5*z + n + 89. Suppose 0 = -t - 4*l - z, l + 8 = 2*t - 3. Suppose 0 = -t*r + 97 + 122. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-3)\/(-3) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -171*z - 25 - 1119*z**2 + 1120*z**2 + 88*z + 2*z**3 + 127*z in the form y*z**2 + b*z**3 + r*z + n and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/346 and -57\/1730.\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 4881237?\nAnswer: 34168659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7348 + 6773 + 224 + 3685 - 3221)*(0*h**5 - 2*h**5 + h**5).\nAnswer: -14809*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*f + 21 + 2 = 0, 5*j = -3*f + 102. Calculate the remainder when j is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2023278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.69 - 0.31. Put 7, z, 0.3 in descending order.\nAnswer: 7, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1243949 - 1243949 - 141*d.\nAnswer: -141*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9665.1 + 9266. What is y rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194 by -3.\nAnswer: 194\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(119)*-6)\/(-5*sqrt(7)*-3))**2.\nAnswer: 612\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 2*s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20189236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2400 by -5.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44965 by -23.\nAnswer: -1955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*r + 3*c, 2*r + 5*c - 8*c + 15 = 0. List the prime factors of 6*5 - (r - -2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -8 - (6 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 23 = b + 2*b, -2 = 2*v - 4*b. Suppose -4*t + 1 = 2*o - 9*t, -o = 4*t - v. Solve -o*y - 12 + 0 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(6) + sqrt(6)*-5)*-1.\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-66)\/(-18))*3 - -15 - 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 6576.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**4*i*i**3*(i*(i\/i**(-2\/3)*i)\/i)\/i*i**(1\/3)\/i assuming i is positive.\nAnswer: i**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -453 - 431. Let a = 5084\/23 + n. Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -336654*u**5 + 94026*u - 3.\nAnswer: -6733080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28517 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57920*t**2 + 101*t**3 - 7*t - 57920*t**2 - t.\nAnswer: 101*t**3 - 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 781746*x**3 - 945*x**2 + 945*x**2.\nAnswer: 781746*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**2\/13 - 95424884*m\/13 + 95424882\/13 = 0?\nAnswer: 1, 47712441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -138110245, -276220489, -414330731, -552440971, -690551209?\n\"Answer: f**2 - 138110247*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 1. Let g(x) = 5*x**3 + 3*x**2 - 2. What is -2*f(s) + g(s)?\nAnswer: 3*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(5 - (-6)\/5*-4). Which is bigger: 36\/5 or d?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 5*g**2 + 4*g - 8. Let l be c(-6). Let k be 3*l\/(-6) + 3. Let h(q) = 8*q**2. Let a be h(k). What is the greatest common divisor of 64 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 16*r**7\/35 + 10*r**3 + r**2 + 95. Differentiate h(j) with respect to j.\nAnswer: 384*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 4588 = -17*a. Let q = 8762 - a. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154419 and 14571.\nAnswer: 750013083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*w + 7. Suppose w*d - 3*d = 4, -44 = -2*j - 2*d. Let z = -1 - -1. Solve s + 5*g - g + 18 = z, 4*g = 3*s - j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/15 + (12\/5)\/6. Let k = -3 + j. What is the closest to 0.1 in k, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*o + 21*o**3 - 29*o)*(-2*o - o + 2*o - 2)*(9 + 1 - 9) to j + q*o**4 + u*o + i*o**3 + a*o**2 and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87336 is divided by 43651.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**5 - 61*j**3 - j - 5 wrt j.\nAnswer: 40*j**3 - 366*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10279 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 27*u**2 - 2*u + 44. Let l = 9610 + -9583. Determine r(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171 - 173.03. Round n to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-28))\/(10\/40)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 8*q**2 + 8*q + 8. Suppose u + 7 = 2*v - 18, 5*v = -u + 66. Suppose c + v = 4*o, -c - o + 20 - 8 = 0. Calculate w(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51614729.\nAnswer: 79, 241, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/71))\/f**(-1\/28) assuming f is positive.\nAnswer: f**(2003\/1988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/21*-1014 + 6\/14. Let w be (4 + (-2)\/(-3))\/((-3)\/36). Let z = l + w. What is the remainder when z is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**4\/6 - 4*k**3\/3 + 4*k**2. Let m(j) = -j**2 + 5*j + 19. Let a be m(6). What is the tens digit of c(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12382632 is divided by 575.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.2 and -11056180794.\nAnswer: -11056180797.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 10) to base 13.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkz when three letters picked without replacement from pkkkzzzkkpp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*j = -72*j - 45 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2205\/11 + 40537\/198. What is the common denominator of u and -77\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 38*b**3 + 7*b**2 - 3*b - 6. Let q(r) = -75*r**3 - 14*r**2 + 5*r + 10. Calculate 5*i(t) + 3*q(t).\nAnswer: -35*t**3 - 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 54 + 417. Calculate the highest common divisor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-8)*o*(o*o\/((o*(o*o*o\/((o*o*o\/o**(-10)*o)\/o*o))\/o)\/o*o))\/o)\/((o\/((o\/o**(2\/9)*o)\/o))\/o)**(-1\/2))**(-17\/6) assuming o is positive.\nAnswer: o**(-1411\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2 - 2 = 0. Let q(y) = -y**3 - 2*y**2 - y. Let f be q(k). Solve -x + f = 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 9*k**2 + 30*k - 6. What is the tens digit of d(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9692.328 millennia to years.\nAnswer: 9692328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3eade (base 16) to base 6\nAnswer: -5300330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 27 = 2*l - l, 0 = -2*l + c + 33. Suppose -l*s = -2*s - 6000. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30100 + 33101220?\nAnswer: 33131320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1 (c) 0.1 (d) 8458\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23490992*t**4 + 90*t**2 - 53132*t?\nAnswer: 563783808*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 251 and 113.\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*p - 4 - 12, -4*c = 3*p - 17. Suppose 0 = -0*o - c*o + 2. Is 2 + -3 - (o + -207) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 + 23*k + 13. Calculate the remainder when d(7) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = a. Let o(r) be the second derivative of 5*r**3\/6 - 3*r**2\/2 - 5*r. Determine o(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/2)\/(4\/20). What is the third derivative of -3*o**5 - o**2 - 5*o**5 + 9*o**g wrt o?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13313228 is divided by 111.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-5 + -1 - (sqrt(1539) + sqrt(1539)*5*-1 + sqrt(1539)))**2.\nAnswer: 36*sqrt(19) + 6157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h - 15 + 16*h - 5*h - 5*h.\nAnswer: h - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 7*d - 7. Let g be p(5). Let x(m) = -201*m - 18881. Let s be x(-94). Solve -g*r = -s + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -7*v - 3*d - 561, -v + 300 = 5*d. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -582708.7 to the nearest 10000.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107272 and 1656.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 45 = -3*z. Let n be (-750)\/z*3*-14. Round n to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2242826070?\nAnswer: 2, 3, 5, 29, 733, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368062249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g = 15*g - 70 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31 - -516289.524.\nAnswer: 516289.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, -6\/173, 6\/7, 0, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/15)\/((-1)\/(-5)). Suppose 5*g + 20 = 4*o, o - 6*g - 12 = -3*g. Solve 4*i - c*f = 2*f, i + 2*f = o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s + 3. Suppose -3*f = -19 + 22. Let w be d(f). Suppose -j = 0, -3*h + w*h = 2*j + 114. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -79, 113.\nAnswer: -79, -5, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 0*z + 8*z**2 + 13 - 2 + 0*z. Let o(l) = -4*l**2 - 6. Let d = 1 + 3. Let y(i) = d*a(i) + 7*o(i). Differentiate y(q) wrt q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.57665?\nAnswer: 2.88325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - l + 6, 2*a + 9 = 2*l - l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-14)\/111)*(-40)\/150*5\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 1 - 3\/((-6)\/2). Let c be 7\/(-2) + 4 - 14\/g. What is the units digit of ((-56)\/21)\/(c\/135)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aapx when four letters picked without replacement from {a: 2, p: 4, x: 4}.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24420 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - -2 - (-23)\/7. Let i = 2.1 + -2. Which is the third biggest value? (a) -1\/3 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**6\/320 + v**5\/160 + v**4\/64 - v**3\/16 + v**2. Let x(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42904142 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*f - 18, 5*f + 0*x = -3*x + 22. Let a(u) = 5 - 5 - f*u. Suppose -4*q + 1 = m - 4, 5*m = 5. Give a(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 20 + 57 = 0. Suppose -o + 107 = 4*x, -2*o + x - n = -287. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -932566, -1865133, -2797700, -3730267, -4662834, -5595401?\nAnswer: -6527968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*d**3\/5 - 87*d**2\/5 - 69*d\/5 + 7\/5.\nAnswer: -(d + 1)*(d + 7)*(11*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 6*d**2 + 2*d - 7. Let z be b(6). Calculate the least common multiple of 4 and (12\/z)\/((-3)\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**5\/120 + w**4\/4 - w**3\/6 - 6*w. Let m(u) be the second derivative of z(u). What are the prime factors of m(-13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 28*r = -30*r - 9, -3*c - r = -6. Suppose 2*t - v = 1 + 7, 4 = -4*t - 3*v. Solve 0 = t*h + h + c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20740279 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, j: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2 and (-18)\/40 + 12\/8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(117)*-5 + (-1 + 1 + sqrt(117) - sqrt(117)) + sqrt(117))*-5 + 0.\nAnswer: 20 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -30. Let t = -16 + b. Let x be (t\/(-7) + 2)\/(1\/2). What is the biggest value in 3\/22, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -23*l + 281. Let f be i(12). Let x = 4 + -2. Suppose -3*n - 3*q + x*q = -104, 4*n - 145 = f*q. What is the highest common divisor of n and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6*y = -5*m + 25, 4*y = 3*m + 14. Suppose -3*q - 6*v + 3*v = 3, 5*q + y = -2*v. Does 5 divide 18 - (-1 - 4\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, y: 1, b: 1, u: 1, e: 1}. Give prob of sequence by.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 9896200 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -1198466.\nAnswer: -47\/1198466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 64*p + 649. Calculate u(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 1. Let r(s) = 10 - 4*s + 22 - 102 + 76. Let t = -2 - -1. Calculate t*r(n) + 6*y(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 1. Let s(g) = -g**3 - g**2 + 8*g - 10. Let h(t) = 2*i(t) + s(t). Calculate the remainder when 45 is divided by h(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + -1)*-2 + (-3 + (sqrt(1216) - (0 + sqrt(1216))))**2 + -1 + -1*(sqrt(1216) + (sqrt(1216) + 1)**2*4 - (1 + sqrt(1216) + -2)).\nAnswer: -4859 - 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (10 - 4) - -1 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*g*h*m**3 - 2*g*h*m**2 + 227*g*h*m - 15*g*m**4 - 1117*g*m**2 + g + 2*h*m + 744*m**5 wrt m.\nAnswer: 630*g*h - 360*g*m + 44640*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4 = 5*o, -7*s + 12*s = 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/4, -1\/2, -3, -0.06874?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) -0.4 (c) -1\/14 (d) 0.02 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/259 and 67\/518.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 13*r + 15. Let m be o(-12). Solve m*z + 7 = -2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9166\/3 + 3057. What is the second biggest value in w, -0.4, -31\/12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -195?\nAnswer: 97.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -2547743\nAnswer: 10190972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 4. Suppose -p + 6 = -0. Let g be r(p). Solve -4*v - h = 2*h + 28, -v + g*h = -4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1153.17*11\nAnswer: -12684.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 650 = 460. List the prime factors of m.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6979 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37.81049 decades?\nAnswer: 4537.2588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64669875 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/5 - 432*d**2\/5 - 2*d\/5 + 432\/5.\nAnswer: 2*(d - 216)*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -253930610\/53 + 36523347975527\/7623096. Let p = -5\/2766 + r. Let m = -7\/24 + p. Is 1 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3671623 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 - 11*c**2 - 3*c**2 + 2*c**2 to q*c + n*c**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1681 - -1681.4. What is the second biggest value in 3, -2, w, 5, 76?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11228077.\nAnswer: 7, 569, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzf when three letters picked without replacement from zzzzzzzzzzfzzfzzzz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2 - 2 + 2*h + 0*h + 8. Is c(10) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -447, 3, -2, -3 in decreasing order.\nAnswer: 3, 0, -2, -3, -447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 284\/6 + 234\/351. Solve l*k = 45*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.061 - 1.1491.\nAnswer: -1.0881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l + 9. Let r be (-26)\/20*l - 4. Suppose 5*m = -4*a + 10, -a - 5*m = -m - 8. Is r equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(200) + -3 - (sqrt(24)\/sqrt(3) + sqrt(8) + -5))**2.\nAnswer: -56*sqrt(2) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.136 - 93.864. Let f = v - -95. Let u = -0.47 - 0.53. Which is the nearest to f? (a) -2\/5 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 3*w + 1. Let i be g(4). Let x be (-12)\/(-8)*(-10)\/i. Suppose -4 = x*q - 19, 3*q = a - 16. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from pnrcrynnrnyrnyw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s - 12. Let a(k) = -k**2 + 8*k + 3. Suppose i - 24 = -2*i. Let g be a(i). Solve 0 + g = -s*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36*(2\/(-6) - -1). Suppose -3 = -3*z - 2*x - 5, 2*z - 5*x = n. Solve 5*j + z = 2*w + 7, 2*w - j + 1 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 18 = c - 5*c, 4*d + 18 = -2*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632566 is divided by 161.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 5*n**2 + 8*n - 4. Let i be j(5). Suppose 3*k - i = 2*k. Let q = 1 + k. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18676 and 23476?\nAnswer: 109609444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-32)*2*-4. Let g be (8 - 4) + (-4)\/p. Suppose -5*u + 3*n + 897 = g, 5*n + 720 = 4*u + 2*n. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*g + 333*g - 7407 = 847*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.5 - 4. Let g be (3\/(-4))\/((-45)\/10) + 85\/306. What is the nearest to 2 in s, -0.6, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3\/3 + 3545*u**2\/3 + 5*u\/3 - 3545\/3.\nAnswer: -5*(u - 709)*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5804.146 years?\nAnswer: 5.804146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((6 - 1) + -76)*(-1 + -12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9)\/4 + (-33)\/(-45)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4789271321.\nAnswer: 109, 43938269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*s - 234. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-78)\/(-65) - (-13)\/(-15). What is v in -2\/3*v - 1\/3 - r*v**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 9:28 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2052 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2. Suppose -3*z = 5*t - 8, 0 = -t + 2*z - 6*z - 12. Let q(a) = -t*a - 17*a - 5*a. Calculate q(m(g)).\nAnswer: -52*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 9. Let l = 10 - g. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33536300 or -33536286?\nAnswer: -33536300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37891*d**3*j*v**3 - 2*d**3*j*v**2 + 32*d**3*v**3 - 2*d**3*v**2 + 587*d**2*j*v**2 + 8*d**2*j*v - 2*d*v**2 - 107 wrt v?\nAnswer: -227346*d**3*j + 192*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 + -137.5. Let n = 1029 - 920. Which is the nearest to -2\/3? (a) -0.2 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 6*f + 4538 - 4516, 30 = -8*b - 5*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 0.2, 5, 7\/20, -3\/2, 2\/9 in increasing order.\nAnswer: -60, -3\/2, 0.2, 2\/9, 7\/20, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -155.756 rounded to zero dps?\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*k**2 - 2 + (-3*k + 6*k + 3*k)*(7*k - k - 5*k) as u*k + w + n*k**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 7*s**5\/60 - s**4\/24 + 19*s**3\/6 - 192*s**2. Let p(h) = 11*h**2 - 2*h + 29. What is 5*p(l) - 8*z(l)?\nAnswer: -l**2 - 2*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 7:23 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + o**3 + 2*o**4 + 4*o**4 - 4*o**4 + o as d + s*o + a*o**4 + g*o**2 + k*o**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d. Let s be 1 - (0 - 3)\/1. Let q(v) = 151 - 151 + s*v. Give -3*l(t) - q(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -5150613?\nAnswer: 5150610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5175 = -5*c, 0 = -j + 2*c + 529 + 507. Calculate the remainder when j is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*u = 183*u + 12790. Let o = 1282 - u. What is n in -16\/7*n**2 + 2\/7*n**4 + 0*n - 4\/7*n**o + 0 = 0?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 1:45 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11270686\/195 + 57798. Let q = -2\/195 + m. Let o = 28 + -57\/2. What is the closest to 0 in q, 2, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-456))\/(6\/(-192))*6\/1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/(1\/4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (209\/22)\/(2\/8) - 2. What is the highest common factor of q and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 52 + 10 + 12 + 16*k + 13.\nAnswer: 16*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 + 4) - (46 - 38 - 36).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 441, 383, 281, 129, -79, -349?\n\"Answer: -c**3 - 16*c**2 - 3*c + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1438 = 5*n - 7497. Suppose 12*w - n = -527. List the prime factors of w.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 325080 and 9644040.\nAnswer: 28932120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 6, -5\/37, -1\/5, 0.1 in descending order.\nAnswer: 6, 0.1, -5\/37, -1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 3326786?\nAnswer: 1330714.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430091 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 843 = l, -113*w + 108*w = -4*l - 1073. What is the least common multiple of w and 1026?\nAnswer: 11286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(26)\/sqrt(2)).\nAnswer: 12 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 7) to base 13\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/6)\/(9\/(-270)))\/(-2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 176031.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 5*x**3\/6 + 5*x**2 + 36*x. Let r be m(-3). Let o be -9 - (r + (5 - 5)). Is o <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -161 - -174. What is the greatest common divisor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -14*l + 1. Let s be k(-1). Suppose -s = -4*j - 3. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + 2 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0. Let m = 49 + -48.7. Which is the closest to -0.1? (a) 2 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.6 + 8. Which is the closest to -2\/3? (a) -2\/11 (b) -8\/21 (c) f (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mps when three letters picked without replacement from tktsppkm.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30380 + 8574. List the prime factors of t.\nAnswer: 2, 19477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 905\/50 + -18 - 58\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0086377 rounded to four decimal places?\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + -2 + (1 - -6) + 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65 + -25)*(-42)\/140?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6.24 or -141447?\nAnswer: 6.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39375422803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 23376015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + -0.2. Suppose 4 = w + w. Suppose 5*o = w*g + 10, 8 = -3*g + 2*o + 4. Which is the closest to g? (a) -2 (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 299411 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 2. Let m(k) = 6*k + 15. Determine -2*g(i) - m(i).\nAnswer: -8*i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7198774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(0 - -4))\/(-23 - (-34 - -12))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 331.13 + -333. Let x = 1.47 + y. Let z = -3 + 11. Which is greater: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(625) - -2*sqrt(625)) + sqrt(625))\/sqrt(5445) + -1.\nAnswer: -1 + 20*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-228)\/(-117) - 2)*-3. Let z = 17850 + -17849.91. Which is the closest to j? (a) -2\/19 (b) z (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, 5235, 5, 6 in increasing order.\nAnswer: -7, 1, 5, 6, 5235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 40*t. Let f(g) = 18083*g. Calculate f(y(w)).\nAnswer: -18083*w**2 + 723320*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1035183, 2070371, 3105559?\nAnswer: 4140747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12283164 is divided by 239.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 462\/(-28)*(-34)\/3553.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6\/589 + 613\/2356. Let d be (-78)\/(-65) + 69\/(-45). What is the nearest to 0.06 in 4, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**5 + 34*x**4 + 62*x**3 + 30*x**2 = 0.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 52*q**2 - 7*q + 7*q - 4 - 108*q**2 + 51*q**2 in the form g*q**2 + p + v*q + z*q**3 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/35, -2, -14.2401, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-852)\/(-5)*85\/34 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120538851?\nAnswer: 3, 40179617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k + 19. Let a be j(-14). Let n = 126 - a. Let z(v) = -v**2 + 12*v + 13. What is the remainder when z(10) is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 8*m = -68. Let v = -48 + m. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - ((8 + -30 - -8) + (-2 - -5))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.0835 - 0.8835. Which is the fourth biggest value? (a) 308 (b) q (c) 0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 4, 1.89, 25?\nAnswer: 1.89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 11*c**2 + 2*c + 8. Let b be t(11). Is 2 a factor of (1 + -2)\/((-15)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -26. Let s = c - -27.88. Round s to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 - -4.21. Let p = w + -4. Let z = p + -0.078. Round z to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 9*a + 24*a - 17 = 5*o + 10*a + 10*a, -7*a = 6*a + 91 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.61907 nanometers to centimeters.\nAnswer: 0.000000061907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v - 2*l + 131, 0 = 3*v + l - 136. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1920 and 930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-4)\/(-16)*4)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-2 + 2*m + 2)*(-89*m - 30*m + 305*m).\nAnswer: 372*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40771?\nAnswer: 40771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c - 2*p - 422 = 0, 325 - 401 = 4*c + 4*p for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 674.9178 months to centuries.\nAnswer: 0.5624315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(168) - sqrt(168)*1)\/sqrt(7))\/((sqrt(72) - sqrt(8) - sqrt(8))*-1 - sqrt(8) - sqrt(8)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 4*c + 22, 8*c = 3*c + 2*h - 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.126007 and 56.\nAnswer: 7.056392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/22)\/(2 - 3). Let z(s) = s + 2. Let a be z(-3). Sort -0.5, r, a in descending order.\nAnswer: r, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + c**3 + 7566 - 30*c**3 - 5*c**3 + 2*c**2 - 7563.\nAnswer: -34*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + i + 8. Determine j(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c + 14. Let p = -1 + 5. Let i(x) = 4*x + p - 1 - 8. Determine -17*i(o) - 6*t(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 1\/4*a**4 + 5\/6*a**3 - 2*a + 0 + 0*a**2. Find the second derivative of m(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 14*v**2 + 7*v - 11. Is g(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 609 + -417. Let h = p + -179. Which is the second smallest value? (a) 5 (b) 0.4 (c) h (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -218777, -437527, -656253, -874955, -1093633?\n\"Answer: 12*g**2 - 218786*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 3:39 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7794?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/(-22))\/(2439\/31436).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 4:59 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 + 213 = 8*l. Let x(k) = -3*k**2 + 3. Let g be x(3). Let r = g + l. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342208 divided by 64?\nAnswer: -5347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**6\/120 - s**4\/24 - 5000*s**3\/3 - s**2. Let t = 525 - 525. Let w be x(t). What is w rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81\/23 - 2483\/46. Is -59 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 59 = 4*f + 44, 36 = 5*f - 2*o for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(sqrt(108) + 0) - ((sqrt(363) + -1 - sqrt(363)) + 2 + sqrt(363)))**2 + -4.\nAnswer: 230*sqrt(3) + 1608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1606 and 2219127?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20901 by 20901.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1838772 and 9.\nAnswer: 16548948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**5*q - 1745684*g**3*q + 3*g*q - 2*g - 2726799 wrt g.\nAnswer: 80*g**3*q - 10474104*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = d + 17, 0 = 5*d - 3*g + 41. Let y(j) = -j**3 - 4*j**2 - 6*j - 13. Calculate the lowest common multiple of 2 and y(d).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j**3 + j)*(8 - 5*j - 4 - j).\nAnswer: -12*j**4 + 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -50418*-9984\nAnswer: 503373312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(1000) - ((sqrt(1000)*2 - sqrt(1000)) + sqrt(1000))))**2.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = -13*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26, 124, 286, 512, 802, 1156, 1574?\n\"Answer: 32*v**2 + 2*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1215.06395 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 592 divided by 2.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 22*m**2 + 3*m - 62. Let c be d(22). Let l(u) = u**3 - 4*u**2 + 3. Give l(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2196*i - 32934. Determine a(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-9)\/(-16))*(-252)\/224?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.86 + -0.57. Let s = d + 7.43000333. Round s to 7 decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29385.510253+0.18\nAnswer: -29385.330253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 33*k + 3815. Let h be z(-113). Suppose 109 - 367 = -3*c. Let w = h - c. Solve w = v - 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*n - 84 = 43*n. Let c(d) = d**3 + d**2 + 3*d - 10. Calculate c(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13703 < -13702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8146250 and 1711570?\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -38529 and -269702\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 6*a**2 - 4*a - 13. Let b(h) = -2*h**2 + h + 1. Let z be (-21)\/(-35)*(-5 + 60\/9). Let k(d) = z*r(d) + 6*b(d). Calculate k(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -5*m**4\/24 - m**3\/3 + 12*m**2 - 2. Find the first derivative of l(z) wrt z.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p**3 + 2*p. Let c(g) be the second derivative of -9*g**5\/10 + 5*g**3\/6 - 67*g. Calculate -2*c(s) + 5*w(s).\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 224039\/(-3) - (-54)\/(-162). What is n rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00084792291 rounded to seven dps?\nAnswer: 0.0008479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**5\/80 - 499*m**4\/32 - 282*m**2. Factor c(b).\nAnswer: -3*b*(b + 499)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -3. Let q be (-1 - w)\/((-12)\/96). Let n = 34 + q. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135189656 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 499 - 618.6. Let x = a - -120. What is the closest to 0.1 in x, 2, 3\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/59015 and -57\/552595?\nAnswer: 6078545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*v**3 + 16566219*f**3 - 182493*f**2 - v**3 wrt f.\nAnswer: -6*v**3 + 99397314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + 9. Let l = -26 + v. Which is the closest to -2? (a) l (b) -0.4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 51 - 42 = 3*n, -3*n = 8*o + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1749.8 - 1750.1. Which is the nearest to 0.2? (a) -2 (b) -13\/10 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r = 6. Suppose -11 = -r*h + 7. Suppose 5 = 2*w + w - 2*y, 4*w - h = 2*y. Solve w = q + 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -2*v + i, 7*v + 534 = 12*v + 4*i. Is 55 a factor of 63600\/44 - (-60)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 1:50 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8662 and 10863.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-362)\/4 - (-3)\/6. Let w = 90 + b. Is 10\/19 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**8\/2016 - 53*v**7\/630 - 21*v**6\/4 - 4655*v**5\/36 - 42875*v**4\/144 - 87*v**2 - 15*v. Factor a(l).\nAnswer: -l*(l + 1)*(l + 35)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-8)\/(-550)))\/((-226595)\/(-181276))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**2. Let m(u) = -31*u**2 - 6. Let p(n) = n**2 + 1. Let j(y) = -m(y) - 6*p(y). Give -2*j(b) + 9*q(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44675 is divided by 63.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -9507 >= -9507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.10188.\nAnswer: -0.30564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c20 + -8?\nAnswer: 1c15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*l**5 - 93*l**3 - 6*l**2 - 367735*l.\nAnswer: 280*l**3 - 558*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -369\/2057?\nAnswer: -369\/2057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60744982 a multiple of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2730662 at most -2730661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 83 (b) -0.5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 - 64 = -49*w + 90 - 70 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/2))\/p)**(-34)*p\/p**6*p**19 assuming p is positive.\nAnswer: p**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 16*q + 17. Determine m(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j**3 - 52*j**3 - 27*j**3 + 114*j**3.\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 91368, 91373, 91380, 91389?\n\"Answer: d**2 + 2*d + 91365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-10 + 10 - (-8 - -6 - -10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(2\/(-31))*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -12. Let f = -46 - -32. Let s = -14.4 - f. Which is the third smallest value? (a) s (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/3855 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 948.\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -23, -21, -7, 25, 81, 167, 289?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 523 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419608522 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 38 * 18.3\nAnswer: 695.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 + 4*z**3 - z**3)*(20 - 12 - 6).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 64 = 109. Suppose -2*i + 5*f + k = 773, 3*f = i + 300. Round i to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(363) - sqrt(18)\/(sqrt(66)\/sqrt(11)).\nAnswer: -1 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 12*i - 6. Let l be u(11). What is the common denominator of -115\/6 and (3\/((-27)\/l))\/(5\/(-60))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:14 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 14 = 4. Let w(u) = u**2 - 1. Let i(z) = 2*z - 5. What is b*i(v) + 5*w(v)?\nAnswer: 5*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106639 (base 12) to base 9.\nAnswer: 435720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-6)*4\/(56\/105)*1440\/(-2000)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636.878 decades to months.\nAnswer: 76425.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**3 - 85*q**2 - 80*q = 0.\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 2*s**4 - 5139*s. Let f(l) = -4*l - l + 2*l. Calculate f(z(w)).\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -3.842380059.\nAnswer: 5.842380059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -2 + sqrt(208) + -2 - (-3*sqrt(208) + 5)**2) + -2.\nAnswer: -1903 + 128*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 46325 divided by -86\nAnswer: -46325\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - c**2 - 10*c + 906. What is the units digit of j(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, o: 1, d: 1, u: 1, f: 2, s: 1}. Give prob of sequence vddu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + -7 + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**5 + 83*a**4 + 1859*a**3 - a**2 - 1022013 wrt a.\nAnswer: 120*a**2 + 1992*a + 11154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 502, -0.1, -1, 1, 3 in increasing order.\nAnswer: -1, -0.1, 1, 3, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1330 - 1167. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -h + r, 3*r + 0*r = -h + 2. Let x(c) be the first derivative of -2 - 5\/2*c**2 - h*c. Differentiate x(l) wrt l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215.33 - -1.33. Let q = -214.2 - f. Let t = -0.03 + -0.97. Which is the closest to q? (a) -0.2 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 41 = 5*f + 6*r, -f + 3*r - 3 = 0. Let q be (273\/26 - f)*(-1 + -1). Let y(t) = -2*t**2 - 6*t - 2. Calculate y(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1386 and 924.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/9 + 86*n\/3 - 260\/9 = 0. Calculate n.\nAnswer: -130, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from {v: 1, i: 2, l: 1, t: 2, u: 2, o: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -2*r**3\/3 - 2*r. Let z be l(-1). Does 3 divide 222\/27 - z\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 + -3.91. Let n(l) = 24*l**3 + 2*l**2 - 3*l - 4. Let u be n(-2). Let i = 907\/5 + u. Which is the closest to -1\/2? (a) i (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(-1*(1 + sqrt(432) + sqrt(432)) - -5*(sqrt(432) + 3)).\nAnswer: -216*sqrt(3) - 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-6006)\/(-235) - (-50)\/125 - (-4 + 1488\/376)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.3. Let v = -0.1 - m. Let z = -1.49 + 1.19. What is the third biggest value in v, 3, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -31499956872707.\nAnswer: -31499956872707.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6742 is divided by 3357?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -56250?\nAnswer: 56246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -12*n + 10. Let p(g) = -1. Suppose 5 = -5*l, 239*x - l - 2 = 238*x. Calculate x*w(b) + 8*p(b).\nAnswer: -12*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r - 23. Let u(w) = 5*w + 23. What is 7*p(x) + 6*u(x)?\nAnswer: 2*x - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*v = -3*v, 21 = 3*r + 3*v. Suppose -5*a + 1 = -2*d - r, -7 = -d - 2*a. Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/122 (b) -124 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 12 - 23)*(2 - 1 + 1)*(0*a + 0*a - a**2) to the form y + j*a + f*a**2 and give f.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104934836 and 39704?\nAnswer: 2836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 = 5*z, -5*p + p + 7 = 5*z. Let v(x) = 4*x - p*x - 2*x. Let l(y) = 2*y. Determine v(l(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.192669 rounded to 1 dp?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*x + 57, x = 2*x + p - 27. Let l = -9 + x. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/16? (a) -7 (b) 2\/13 (c) -20954\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 21*p**2 - 42*p**2 - p**2 + 23*p**2 + 12*p.\nAnswer: p**2 + 12*p + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**4\/24 - b**3 + b**2. Suppose -4*h - 5*c + 22 - 52 = 0, -2*c = h + 9. Calculate f(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 8:07 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.37 - -0.07. Let d = a + 2.2893. Round d to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.09 (b) -0.04 (c) -1\/3 (d) -0.2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1407652 divided by 1.\nAnswer: -1407652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 + 492*d - 6808. Determine s(140).\nAnswer: 3272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 928 = -44*n - 172 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 7*a**2 + 18*a - 40. Let j be z(5). Suppose j = 139*b - 141*b + 222. List the prime factors of b.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2510210\/29 + 86559. Let p = -3 + 4. What is the closest to p in x, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608 = 2*o + y, -4*o = 8*y - 5*y - 1216. Is o a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**5\/20 - p**4\/3 + p**3\/3 - 5*p**2\/2 - p - 1446. What is h(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111579120 by -1620.\nAnswer: 68876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/5, 1, -3024.2, -5, -1\/3.\nAnswer: -3024.2, -5, -1\/3, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h + 22. Let v be f(11). Solve v*i + 8 = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81556600467 + 1.\nAnswer: 81556600468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 58960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3627053 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3 (b) 0.1 (c) 2873 (d) 0.3 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/20 - 5*g**4\/8 + 3*g**3 - 334*g**2. Determine j, given that y(j) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -37. Let y = 12 - 6. Let m = y - c. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -12, -0.03?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-6)\/(-12))\/((-7)\/2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09402 to 3 decimal places.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 6. Let x(j) = 2*j - 11. Let q(z) = -11*w(z) + 6*x(z). Let m(o) = 1 - 6*o + 4*o - 2*o**2 + 0*o. Calculate -m(f) - 2*q(f).\nAnswer: 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Let m(f) = 4*f. Suppose 2*t = -8 + 4. Let v(n) = t*m(n) + 9*d(n). Let h(j) be the third derivative of j**5\/20 + 5*j**2. Give h(v(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19556291647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 3*l**2 - l - 1. Let v be 4 + -5 + -1 + -3. Give n(v).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 471897.4 and 0.5?\nAnswer: 235948.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 40 - 22 = -5*v, 0 = v + 4*z. Let d(i) = -3*i**2 - 17*i - 14. Let x(b) = -b**2 - 6*b - 5. What is v*d(h) + 11*x(h)?\nAnswer: h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 6*n - 9. Let s be b(-8). Suppose -2*u + 12 = -d, -2*d - s*u = -4*u + 45. Let l = 58 + d. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t. Let v(x) = 5*x**2 - 10. Calculate v(k(o)).\nAnswer: 20*o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**4\/3 - 220*d**3 + 6194*d**2\/3 + 10316*d - 27120 = 0.\nAnswer: -339, -5, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 10 + w**3 - 7 + 5 + 25.\nAnswer: w**3 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*v**3 - 1 - 4*v**3 - 2 + 5*v**3 wrt v?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137062 (base 9) to base 4.\nAnswer: 110132303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 47, 29\/19, -4?\nAnswer: 29\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 52 - 258 = 0. What is the remainder when 2\/(-3) - s\/6 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 453532?\nAnswer: -453535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11306923*m**2*v**5 - 590439415*m**2*v**2 + 5*v**5 wrt v?\nAnswer: 678415380*m**2*v**2 + 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204)*2 - sqrt(204))*4)\/sqrt(12).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.415972 rounded to two decimal places?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 781.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16945 from 2150.\nAnswer: -14795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 983990 = -w - 2*y, 3*w + 4*y = -1476020. What is w rounded to the nearest ten thousand?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8929143 and 8929143 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -42342.64 rounded to the nearest one thousand?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4754993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20238*m**6 - 39*m**5 - 793434*m**2 wrt m?\nAnswer: -2428560*m**3 - 2340*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 603201570 to the nearest 100000.\nAnswer: 603200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11181 + 33545\/3. Which is the nearest to h? (a) 4 (b) -3 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/48*((-138)\/(-92))\/(4\/(-12)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1887 + 4*l**2 - 8*l**3 + 1887)*(-94*l + 115*l - 156*l + 2) in the form o*l**4 + v + k*l + s*l**3 + f*l**2 and give o.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/2 + 75*m**3 + 1008*m**2 + 1728*m.\nAnswer: 3*m*(m + 2)*(m + 24)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 130. Calculate the least common multiple of (-5)\/(-4*(-20)\/(-576)) and x.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (148\/(-370))\/((-2)\/165).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (1 + 1 - -10). Let p = v + 22. Let w = p + -19. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 38*b - 25. What is t(3)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**0)\/q*(q*(q*q**(-1\/11)\/q)\/q)\/q)\/(q**(-1\/7)*q**(6\/7)))**22 assuming q is positive.\nAnswer: q**(-278\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2 - 4158934*b - 4324183004089 = 0?\nAnswer: -2079467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36194*c**3 - 10 - 36198*c**3 + 10.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 94*u**2 + 1561*u + 24407. Give i(-78).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 834135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390830 and 5093.\nAnswer: 180954290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -69000 divided by 13800\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -16002973\/6 less than or equal to -2667163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a + 21. What is s(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + 4*y - 5*y + (2 + 1 - 2)*(91 - 10*y - 91))*(4*y - 2*y - 1 + 3*y) to the form o*y**2 + f*y + w and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14\/28)\/(3\/1512).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2 (c) -0.4 (d) -3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 6*t**2 + 4*t - 15. What is z(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 42714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 42988, 43311, 43634, 43957, 44280, 44603?\n\"Answer: 323*l + 42665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 111. List the prime factors of y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95639013 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 - (3 + -5)\/2. What is the highest common factor of y and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -3 (c) 0.043 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 699.9967 grams in tonnes?\nAnswer: 0.0006999967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/36*-4*(-2295)\/162\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8596713?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 83. Suppose -7 = w - o. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/374 and 75\/1054?\nAnswer: 11594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592688688.\nAnswer: 2, 3, 61, 71, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73862.8161 + 73857. What is p rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -256\/11 + 12060\/539. Calculate the common denominator of t and -55\/6.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2041 in -2\/13, -5, -1, 2, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 x when two letters picked without replacement from {x: 5, p: 4, t: 4, z: 6}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -449333, -898667, -1348001?\n\"Answer: -449334*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.212 - -1.212. Which is the third smallest value? (a) 0.1 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235018715.\nAnswer: 5, 23, 109, 18749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j - 42. Let o(b) = -b**3 + 15*b**2 + b + 4. Let s be o(j). Let t = 311 - s. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2785*n**2 + 5336 - 2664 - 2673.\nAnswer: 2785*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (2 + (6 - 10))) + -17 + 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 31, -1\/3, -2, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o + 9. Let f be b(-18). Let d = 11 + f. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51240, 1, 4, -5, 4.4 in decreasing order.\nAnswer: 51240, 4.4, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366633452.\nAnswer: 2, 91658363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3293, 3339, 3399, 3479, 3585, 3723?\nAnswer: 3899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1280.9 - -1280.77172. What is k rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -203*c**2 + 156*c - 157. Determine t(1).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*t + 502 = 2*p, 0 = -t + 15*t + 11*t + 3*p + 122 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 18\/46627 and -1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 16*c + 3. Give a(7).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 852034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 2:56 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 3*n**5\/20 + 11*n**4\/12 - n**3\/3 + 37*n**2. Is o(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 3*a + 76. Calculate the greatest common divisor of 76 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-3*sqrt(136) - sqrt(136))\/((2*sqrt(48))\/sqrt(6)))**2 + 0 + 2*(-2 + sqrt(2057) + 0 + sqrt(2057)).\nAnswer: 64 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.24 - 4.76. Let g = -6 - f. Which is the closest to g? (a) -4 (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i, 7*k - 2*k = 4*i + 45. Let b(x) = 3*x**2 - 23*x + 61. Let p be b(16). Suppose -5*v - 56 = -p. What is the highest common divisor of k and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 6*s**2 + 3*s - 12. Let u be g(6). Suppose 44 = -2*i + u*i. Let k = i + -9. Solve 4 = 6*z - k*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**4\/11 + 1434*l**3\/11 - 131202*l**2\/11 - 132634*l\/11 = 0.\nAnswer: -799, -1, 0, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 392 divided by -392\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6955.706l in millilitres?\nAnswer: 6955706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-15))\/(48\/10 - 5). What is the nearest to 1 in 5, 2\/7, -0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 18 = 2*u, 2*u = a + a + 28. Let j be (25499995\/a)\/(1\/(-4)). Let g be 3\/9 + j\/6. What is g rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z - 38*z + 30*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -59*l**2 + 2 + 30522*l + 1 - 2 - 30529*l. Let h(s) = 29*s**2 + 4*s - 1. What is 5*h(f) + 3*i(f)?\nAnswer: -32*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 396 - (-1)\/((-7)\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 12:51 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**3 - 5*m**3 + 4 + 12*m**3 + 0 to the form n*m**2 + z*m + v + u*m**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 + 10*i**2 + 9*i**2 - 35*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 156*a - 805.\nAnswer: (a - 161)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/65 + (-440)\/(-13). Suppose 5*r = l + 96. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8005, 8003, 8001?\nAnswer: 7999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 707 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 8*f**2 + 10*f - 18. Let b be h(7). Suppose 8*i - b*i = -i. Let d(x) be the first derivative of -x**4\/4 + x**3\/3 + 6*x - 15. What is d(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*w - 11983*w**2 + 46*w + 11931*w**2.\nAnswer: -52*w**2 + 242*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o. Let g(n) = 2*n**2 + 806. Determine g(r(p)).\nAnswer: 2*p**2 + 806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10736516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3\/4 - 98465*x**2\/4 + 4531553*x\/4 + 4630017\/4 = 0. Calculate x.\nAnswer: -98511, -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 96570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2. Let r be m(1). Let i be (-1 - r) + (3 - 1). Let k(o) = 2*o**3 + 3*o**2 - 12*o - 8. Let p be k(-3). Solve 0 = i*t - 1 - p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + (-1 - -5 - (175 + -181))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 4*q + 36. Let d be s(0). Let r = -34 + d. Solve 3*b = -10 - r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31827 - -31826.999729716. What is o rounded to 6 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 4:21 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - 8*o - 2*o)*(0 - 3 - 3) in the form r*o + f and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v - 30. What is b(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13930*i - 3240 = -14020*i for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 560473, 560464, 560441, 560398, 560329, 560228?\nAnswer: 560089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -7.01. Let t = 1.99 - q. Let l = t - 4. Put -0.5, 1, l in descending order.\nAnswer: 1, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 18*f**2 + 14*f + 38. Is q(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by (18\/(-21))\/((180\/(-112))\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 2*l + 1. Let j be h(2). Suppose -3 - j = -4*a. Calculate the smallest common multiple of 11 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318, -353, -388, -423, -458?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202 + 32?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55026 + -4292099\/78. What is the common denominator of 127\/156 and b?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 3\/8, -1, -640?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 4*k - 16, -2*u - 3*k = -14 + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 8*j**2 + 9*j - 1. Let b be t(-9). Is -7 - (-156096)\/27 - b\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 4:34 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 7*b, 22*z + 25 = 25*z + 2*b. Solve 17*f + v + z = 19*f, f + 2*v = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -254*u**2. Let y(f) = 7*f. Let l(o) = 16*o. Let k(b) = -6*l(b) + 14*y(b). Give k(d(j)).\nAnswer: -508*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 1417 = -7*r. Let m = r + -93. Solve -4 = -4*j - m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0*1\/(-3)*-1)\/(-2). Suppose m = -14*o + 11*o + 1020. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 - -150. Let o be i*1\/(9 + -5). Solve 3*m = o*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h + 19. Let u be x(-4). Let z be (-2)\/4 - u\/(-52). Factor 1\/2 + 3\/4*j + z*j**2.\nAnswer: (j + 1)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -357666256.\nAnswer: -357666256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {y: 18, a: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h = 3*n + 36, -n - h = 2. Let j(x) = x**3 + 6*x**2 - 9*x + 2. Let u be j(n). Suppose -17 = -y + u. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 6 - -5) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16108, -32317, -48526, -64735, -80944, -97153?\n\"Answer: -16209*i + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5195 + -4073. Is 102 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpp when three letters picked without replacement from {r: 11, p: 3}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 772 times -4\nAnswer: -3088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1910, -430.\nAnswer: -430, -1, 1910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.04525 + -0.04525. Which is the nearest to s? (a) 0.06 (b) -0.18 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5011 + 247 - 197 = -121*t. Calculate the remainder when (-2)\/6 + (-705)\/(-9) is divided by t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4666*l - 4663*l - 666. What is the greatest common divisor of 962 and l?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*u + 94*u - 25*u**2 to the form z*u**2 + x + i*u and give z.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*j + 93 = 210*j. Let d(x) be the first derivative of -1\/15*x**j - 4\/5*x**2 - 16\/5*x - 13. Factor d(f).\nAnswer: -(f + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/130 and -101\/4030.\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -2\/4089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -330 (b) 4 (c) 0.1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g**3 + g**2 - 7*g + 12. Let m be t(5). Suppose 248 = -3*k + m. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-1*-1 + sqrt(65))\/(sqrt(35)\/sqrt(7)*-6) + 1.\nAnswer: -sqrt(13)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. What is the derivative of 2*i**2 - 19*i**3 - 2*i**b + 21*i**3 - 2 wrt i?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**4 - 136*h**4 + 72*h**4 + 2 + (4*h - h**3 - 4*h)*(0*h + 3*h - 2*h) to p*h + r*h**3 + u + y*h**2 + v*h**4 and give v.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -1)\/(14\/(-21)). Let t = 6.7 + -7. Which is the closest to 0.1? (a) r (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 + -87 - (5 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2023014 + 250?\nAnswer: -2022324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.5 (c) 11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a factor of 1867244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1302 + -663. Let d = 280 - r. Let g = 359.0594 + d. What is g rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f - 6. Let z be d(-3). Let r(l) = l - l**z - l + l**2 + l. What is the units digit of r(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -242 (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 2:15 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k - 25806 = 2*k. Suppose -4*d + y = -4160, -958 - k = -2*d - 2*y. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 5*w**2 - 153*w - 941. What is q(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 - 26*q - 34. Let r be b(-4). Let t(c) = 2*c**2 - 3*c + 2. Let k be t(4). Calculate the greatest common divisor of r and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(2 - -1)*16\/6. Is 2\/(d\/15674) + 6\/(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*((-275)\/(-10))\/(-11). Put m, 1, -13, 5 in decreasing order.\nAnswer: 5, 1, m, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 86 + 7221*m - 66 to u + c*m and give c.\nAnswer: 7221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110011 (base 2) in base 14?\nAnswer: cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34387 and 411.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -19*x**2 + 12*x**2 + 6*x**2. Let q(h) = -2*h. Give q(v(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*r - 3*r + 20, -2*r - 15 = -3*s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.1 (c) -3451\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151 + -145. Let q(f) = 3*f**2 + f + 23. List the prime factors of q(x).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 20*q**3 + 8*q**2 - 14*q. Let k(t) = -7*t**3 - 3*t**2 + 5*t. Suppose v = -z - 11 + 16, -2*v + 10 = -5*z. Calculate v*u(f) + 14*k(f).\nAnswer: 2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*a*q*u - 6*a*q + 11*a*u - 17*u with respect to q.\nAnswer: 88*a*u - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 0*f + f + f**4 - 137*f**2 + 131*f**2 to the form q*f**4 + v*f**3 + k*f**2 + h*f + p and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16203 at most 15785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, a: 4, g: 5, u: 5, x: 3}. What is prob of sequence uuq?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198 - -199. What is the third biggest value in 0.3, -0.11, t, -1?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 2 - -6 - -1. Find the third derivative of -4*v**4 - 5991*v**2 + 6031*v**2 - 46*v**3 + 2*v**a wrt v.\nAnswer: -48*v - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 5, 4, 33 in increasing order.\nAnswer: -1, 4, 5, 8, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81209.44 litres to millilitres.\nAnswer: 81209440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163 - -16. Let z = g + 164. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/8))\/c*c*c**22*(c*(c*c\/(c*(c*c*(c\/((c\/(c\/(c\/c**(-5))))\/c))\/c)\/c*c*c))\/c)\/c*c*(c*c*c**(2\/17)\/c*c)\/c assuming c is positive.\nAnswer: c**(3671\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103424.\nAnswer: 2, 3, 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 5, 105 in descending order.\nAnswer: 107, 105, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blvgxvh. What is prob of picking 1 v, 1 h, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1))**(-3)*i**(-3\/22)\/(i**(-3\/11)\/i) assuming i is positive.\nAnswer: i**(-107\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 518 and 370.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -46. Let m(c) = c**2 + 2*c - 22. Let y be m(j). Find the second derivative of -5*g**3 - 4*g**y - 65*g + 4*g**2 + 104*g wrt g.\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-387)\/21)\/(1\/(14\/(-8))))\/((-501918)\/(-669224)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-16) - ((-1793)\/(-88) + -7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -119, -126, -135, -146?\n\"Answer: -h**2 - 4*h - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7407 + -0.740700592. Round c to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1. Let o(n) = -3. Let g(i) = 2*h(i) + o(i). Let s(v) = -2*v - 1. Let b(y) = 6*g(y) - s(y). What is the first derivative of b(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-21)\/2))\/((-480)\/(-4200)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 + 75148*d**3 + 682030258*d**2 - 452222307160*d.\nAnswer: 2*d*(d - 620)*(d + 19097)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7190148256 take away -773?\nAnswer: -7190147483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418973373 to the power of 1\/2, to the nearest integer?\nAnswer: 37669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381030019?\nAnswer: 381030019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -1. Let g = k + -2.7. What is the nearest to -0.1 in 4\/3, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1738, 1704, 1670, 1636, 1602?\n\"Answer: -34*t + 1772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k - 20 = 5*w, 0 = w - 5*k - 2. Sort 2, w, -4 in increasing order.\nAnswer: -4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**3 - 5 + 5 + (-12*g**3 + 5*g**3 + 0*g**3)*(0 - 1 + 2))*(2 + 2 - 5)*(-3*g + g + 4*g).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1 + (-2 + 1 - 1)*(-1 + 4 - 6))*(0*k - k - k)*(-1 + 1 + 3).\nAnswer: -54*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u - 3. Suppose -4*i + 0*i = -r + 24, 4*r - 81 = i. What is the remainder when r is divided by j(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020 (base 3) to base 8.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 2*t - 13. Let v be a(-6). Let x = v + -34. What is the highest common divisor of x and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3992, -15620, -35018, -62192, -97148?\nAnswer: -139892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or -14187?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-27)\/h**37*h**(5\/13)*(h**(-11)\/h)\/h assuming h is positive.\nAnswer: h**(-996\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8122 - 7950. Solve 42*s = 85*s - h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from {a: 1, c: 9, y: 1}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + d - 1. Let n(c) = 3*c + 20. Let q(m) = -n(m) - 2*v(m). Let a be q(-4). Let i = a + -1. Calculate the greatest common divisor of i and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/2 of a hour?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i = 7 + 196 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 2\/17 (c) -6\/11 (d) -47\/9 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1293 - 167 = -367*i + 2*i. Let c(a) = -a**3 - 5*a**2 + 14. Determine c(i).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 836347\/3 - 278769. Suppose -200 - 2\/9*d**2 - o*d = 0. What is d?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85052060?\nAnswer: 2, 5, 337, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -56*y - 2. Let u(o) = 74094*o**2. What is f(u(l))?\nAnswer: -4149264*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 9. Let w(k) be the first derivative of 5*k**2\/2 + 45*k + 31. Let u(q) = 11*h(q) + 2*w(q). Give u(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 673235.7?\nAnswer: -134647.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751*g - 2 = -750*g + 2*n, 25 = -5*n for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khkoxlkorokxhlohklkh. Give prob of sequence hl.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2732577*b**4*d**3 - 239*b**2*d + 6634*b*d**3 wrt b.\nAnswer: -65581848*b*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 35. Let p(u) = -u**3 + 11*u**2 + 5*u + 8. Does 18 divide p(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4241.497321 to one decimal place.\nAnswer: -4241.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 188563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 104 = -91. What is the least common multiple of 12 and s?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 4*h**2 - h + 7. What is f(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/42*9\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**4 - 6*j**2 + 0*j**3 - 4*j**3 + 4*j**2 to the form a*j**3 + m + b*j + y*j**2 + o*j**4 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 2*y**3\/3 + 19*y**2\/2 - y - 2. Let k be (-34)\/9 - (-8)\/(-36). Let j be p(k). Solve 0*d = -d + j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/o**(2\/29)*o**(6\/7)\/o*o*o**(-1\/3))\/(o**4\/(o*o**2\/o)*o**(-2\/5)*o*o**3*o) assuming o is positive.\nAnswer: o**(-36982\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/3, -0.1, -1\/5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8041355 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -4*x + 5\/39*x**3 + 0 + 1\/195*x**6 - 1\/26*x**4 - 2\/13*x**2 - 1\/130*x**5. Factor n(j).\nAnswer: 2*(j - 1)**3*(j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2511, -2524, -2545, -2574, -2611, -2656?\n\"Answer: -4*y**2 - y - 2506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3895892 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuccuuccccucu. Give prob of picking 4 c.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 k when four letters picked without replacement from {y: 3, k: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 7*w = 108. Let q be (-32)\/(-36) - ((-2)\/w + 0). Put 5, -27, q in ascending order.\nAnswer: -27, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - 1*sqrt(351) - sqrt(39))\/(sqrt(9)\/sqrt(3)*2).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 15*b + 35 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121*l**2 - 2 + 118*l**2 + 34*l**2 + 2*l - 188*l**2 to the form m + s*l + p*l**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109 and 3706.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -3*i**2 - 4*i + 1\/3*i**3 + 12. Calculate w(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -7 (b) 20 (c) 5 (d) 3\/13 (e) -6 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/1 + -656 + 598.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33152921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**2\/5 - 207*o\/5 + 2652\/5 = 0.\nAnswer: 17, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + j**2 + 1 + (2 - 2 + 1)*(0 + 0 - 2*j**2) - 2*j**2 + 0*j**2 + 3*j**2 - 3516*j**2 + 1941*j**2 + 2034*j**2.\nAnswer: 459*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, a: 2, m: 6, o: 4, l: 1}. What is prob of picking 1 o and 1 l?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.1. Let k be (-5)\/15 - (-2)\/3. What is the closest to v in 4, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9838? (a) 0.03 (b) -1\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18881*u + 154795 + 338225 = 621*u for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 12977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-10*(-7)\/8960). Solve -48*n = -16*n - k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1790 and 3092762?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2 - 1263212*y + 398926139236 = 0.\nAnswer: 631606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -2*j**5\/5 - 7*j**4\/6 - 11*j**3\/6 + 7*j**2 - 1588*j. Let n(u) = 3*u**3 + 5*u**2 + 4*u - 5. Calculate -11*n(h) - 4*y(h).\nAnswer: -h**3 + h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15930634 a multiple of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p + 9*p - 6*p)*(2 - 1 - 2)*(1 + 1 - 3).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-2 + (-27)\/(-18)). What is the second biggest value in s, 13, 2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2 + 4. Let c be (-1)\/((-1)\/(-10)*x). Let f(h) = -11*h - 43. Let b be f(-4). Sort -1, b, c.\nAnswer: -1, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, b: 5, f: 2, k: 2, p: 8}. Give prob of sequence bfvf.\nAnswer: 1\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56\/7439 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rprgm. What is prob of sequence pm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26955*l**5 - 2*l + 445 wrt l?\nAnswer: -539100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3 + 29*m**2 + 235*m + 75 = 0. Calculate m.\nAnswer: -5, -1\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/6*10923\/(-44). Let w = q + -931. Suppose 183*d - 180*d = w. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -9442\nAnswer: 132188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 5:06 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -44 + 12 + 22 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 8*y**5\/5 + 238*y**4\/15 + 772*y**3\/15 + 298*y**2\/5 + 304*y\/15 - 32\/15 = 0.\nAnswer: -4, -1, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -124 - -684. Let j be 6\/(-2)*(-5)\/3. Suppose 0*g - d = -j*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2929 is divided by 155?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*c**2 + 69*c**2 + 11*c + 66*c**2 - c**3 - 3 - 8*c to the form n*c**3 + k + p*c**2 + v*c and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3 + 26*r**2 + 49*r + 24 = 0. Calculate r.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 0*g**2 - g**3 + g + 2 + 2*g + 0*g. Let q be k(3). Suppose 77 = q*s + 11. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/22, 1\/7, -1\/4, 2\/7, 0.2, 2.\nAnswer: -1\/4, -3\/22, 1\/7, 0.2, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33173*b + 11061*b + 11056*b + 11055*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ornoonnnn. Give prob of sequence noon.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i + 108 - 74 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 2*q - 3. Let f be p(5). Let m = f - -3. Suppose -m = 2*a - 7*a. Solve 0 = a*u + 3*b - 18, 5*u - 27 = -3*b - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/42 and (-1)\/(90\/335) - 0.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228129300 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17770634 (base 8) in base 10?\nAnswer: -4190620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8615*w**2 - 9928*w**2 - 4434*w**2 to t*w**2 + c*w + f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-567)\/630)\/((-6)\/(-10)))\/(15 + -4).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9755*i**2 - 9187*i wrt i?\nAnswer: 19510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 57 = -3*m. Suppose -41*g + 120 = -35*g. Calculate the remainder when m is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -776*f - 886*f + 320*f - 63074 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 7:28 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 39\/2. Let c(v) be the third derivative of 3*v**2 + 0 + a*v**3 + 1\/40*v**6 + 0*v - 1\/20*v**5 - 1\/8*v**4. Factor c(b).\nAnswer: 3*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 142, 0.4, 45, 2\/11, 0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -766 and -5?\nAnswer: 3830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m - 9. What is r(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from bbgvgggbfbybftb?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - sqrt(616)\/(sqrt(33)\/sqrt(3)))\/(sqrt(32) - (sqrt(32) - sqrt(512))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12\/9*18\/4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1350, -2608, -3876, -5154, -6442, -7740?\n\"Answer: -5*i**2 - 1243*i - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 + (171 - 118) + 177?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) 2\/5 (c) 0.6 (d) -2.1 (e) 2696\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4887\/1086*(-3)\/9*2*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 84. Let h = -3071 - -3081. Calculate the smallest common multiple of h and a.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/30*-3)\/(2\/6). Let n = -14 + 15. What is the nearest to 2 in 0, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 47*j + 86. What is t(-4)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84.7 and -1.\nAnswer: -84.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, s: 1, d: 2, e: 1}. What is prob of sequence es?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-222)\/12)\/(-37)*3*8\/12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/2 + -2 - 0. Suppose 2*d + 5*i = 41, -11*d - 9 = -9*d - 5*i. Suppose d*j - 4*j = 24. Solve 5*s - 3*x - j = q, 3*s + 3*x + 2 = 2*x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*k + 5. Suppose 3*u - 2*m + 4*m - 366 = 0, -k*m + 363 = 3*u. Suppose -4*d + 304 = -4*h, -u - 156 = -4*d - 2*h. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59450 is divided by 399.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 - -94.0023. What is t rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = -0*s + 6226. Let d = -445 + s. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3558 by -1186.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3664120 divided by 1832060.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5562 divided by -6?\nAnswer: -927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v + 1. Let f(t) = 4*t - 1. Let q(y) = -5*f(y) - 2*x(y). Let z(i) = 2*i - 1. Give -4*q(p) - 11*z(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-3))\/((-183)\/854)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46, -69, -108, -163?\n\"Answer: -8*y**2 + y - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 123?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22\/5 + -83\/20. Let v = -3\/20 + j. Let a = 1.2 + -0.2. Put 4, v, a in decreasing order.\nAnswer: 4, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*n + 32 = -381*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 5, -18?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -39939027.4363\nAnswer: 39939009.4363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5 - 102\/5*l + 2601\/10*l**2 = 0. Calculate l.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 690*d*q**3 + 148*d*q**2 + 6895*q**3 + 251*q**2 + 2*q wrt q.\nAnswer: 4140*d + 41370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5802*w**2. Let p(q) be the third derivative of q**4\/12 - 6093*q**2. Determine z(p(u)).\nAnswer: -23208*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 22 = -c. Suppose 5*q = -4*q + c. Suppose 0 = -4*l - 0*l + 4*g + 32, 0 = 3*g + 12. Calculate the highest common factor of q and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.6528 and 0.3.\nAnswer: 5.9528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13258957 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/11 - 977062*r**2\/11 - 10848252768*r + 10848341592 = 0. Calculate r.\nAnswer: -244266, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -204 - -249. Is 45 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/5568 and 137\/384.\nAnswer: 11136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 + 86. Solve 4*o = d*o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 3*d**2 + 89*d + 4. Let r(g) = -3*g**3 - 10*g**2 + 267*g + 14. Calculate 7*l(n) - 2*r(n).\nAnswer: -n**3 - n**2 + 89*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:22 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + (-82)\/6)*(-27)\/18. What are the prime factors of (-2269)\/(-5) + 3\/(c + -1)?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029 minus 16.194246742?\nAnswer: -16.223246742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - 254. Let b = -205 - c. Calculate the greatest common divisor of 56 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -87, -84, -77, -66, -51?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 0 + 1 - 3 + 5*u - u**2. Let l be j(3). Suppose 2*i - 773 = -3*g, 767 = -g + 4*g - l*i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -24. Suppose 51 = -3*u - 2*t, p*u - t + 57 = -u. List the prime factors of (-10)\/((u\/(-5))\/(-33)).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 958 = -0*v - 97*r, -2*v + 46 = -12*r + 16*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 - -1) - (-60 - -66)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*f = -0*f + 1088, 0 = 5*o + 3*f - 1361. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b\/(b*b**(-15)))\/b*b*b)\/(b*b**31\/b*b))\/((b**(-5\/6)*b)\/(b\/(b*b**(2\/7)))) assuming b is positive.\nAnswer: b**(-607\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*a - 34, 27*s = 28*s - 2*a - 18. Sort -4, 2\/1737, s, -0.5 in decreasing order.\nAnswer: s, 2\/1737, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/((-4)\/2) - 1. Let w = t + -4. Sort w, 2, -4 in descending order.\nAnswer: 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6074523251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = g + 2*t, -g + 26*t + 54 = 30*t. What is the remainder when g is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 28*q**2 - q + 1. Let j(i) = -i**3 + 11*i**2 - 11*i + 11. Let o be j(10). Calculate the remainder when c(o) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, g: 4, n: 6}. Give prob of sequence gng.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 11 = -5*c. Suppose -376 + 432 = 7*n. Let r(u) = u**2 - 10*u + 27. Let w be r(n). Put c, 1, w in descending order.\nAnswer: w, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 62 + 56 = 0. Let 0 + 1\/3*z - 7\/6*z**2 + 1\/2*z**b + 7\/6*z**4 - 5\/6*z**5 = 0. Calculate z.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 - -74. Suppose q = 5*g - 25, -4*g = -4*d - 0*g + 44. What is the greatest common divisor of 112 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + x + 1. Let z be c(0). Let y be 76\/18 + 8\/(-36). Suppose -s = -2*r + 4, y*s - 3*r - 2*r + 4 = 0. Sort s, z, 2 in descending order.\nAnswer: s, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 1\/3 (c) 4 (d) -0.3 (e) 3\/4 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 - 1?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, 5, -85\/21?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - x + 5. What are the prime factors of h(-4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*b - 9 = 107*b - 3*t, -3*b = 3*t - 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 13*o + 959. Calculate t(-74).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -219, -7 in decreasing order.\nAnswer: -3, -7, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1183 and 273.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-1)*(-11)\/4. Let d = x + 23. Solve -2*j - d = -2*c - 7, 4*j = -2*c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c + 1. What is m(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - (-4 + (-1 - -2)). Let l = f + 14. Calculate the highest common factor of 16 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*v - 75 = 0, -2*m + 234 = -7*m - 3*v. Let r be -9*((-20)\/(-5) + 38\/(-9)). Suppose 154 = -3*s - 4*h, r*h - 6 = -14. Which is greater: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10530 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**3*z + 2*u**2*z + 32*z with respect to u.\nAnswer: 6*u**2*z + 4*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-2 - 18))\/(-2 - -4). Let k(r) be the second derivative of -4*r + 0 + 1\/72*r**4 + 0*r**2 + m*r**3. What is p in k(p) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b3d (base 14) to base 5\nAnswer: -1002211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 + 35 + 52 - (0 - 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -34589.87135 to the nearest integer.\nAnswer: -34590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987728338.\nAnswer: 2, 19, 67, 387953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 0*i = -5*i - 21, -1 = i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*u)*(0 - 5 - 1) + 495 - 495 + 21*u.\nAnswer: 39*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/73892 and 11\/73892.\nAnswer: 73892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39044833277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.292 - -0.349. Let p = c + 0.943. What is the fourth smallest value in -2\/13, -8, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 0*i + 2*i)*(-3*i - 2*i - 15*i - 265*i**2 + 270*i**2) to d*i + k*i**2 + g + b*i**3 and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1707*x - 1530*x = 7065840. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 + 12*f + 10. Let z be x(-1). Solve 0*n - 22 = z*l + 4*n, -3*l - n = 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122001 (base 10) to base 15\nAnswer: 26236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k - 20. Let l be h(3). Suppose 0 = -l*q + 815 + 354. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b**5 - 10*b**4 + 192*b**3 - 33917*b wrt b?\nAnswer: -120*b**3 - 120*b**2 + 1152*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 347*o**4\/6 + 1769*o**3\/3 + 4*o**2 + 23. What is the derivative of x(b) wrt b?\nAnswer: 1388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p - 3. Suppose -r + 18 = 9. Let h(o) = -15*o - 6. Let t(s) = s**3 - 8*s**2 - 10*s + 5. Let j be t(9). Let f(z) = j*h(z) + r*i(z). What is f(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4424\/19 + 82463\/342. What is the common denominator of 89\/654 and w?\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 698373?\nAnswer: 698373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -2\/9 (c) -99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/4*4\/6 - (-3 + -1). Solve 2*g + 3*b - 6 = 0, -68*g = -65*g + 3*b - c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29950 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, y: 2}. Give prob of picking 1 y and 2 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4 - 354*g**3 - 1044*g**2 + 1110120*g + 32778816 = 0 for g.\nAnswer: -58, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 22 = -v. Let i = v + 37. Let p = 100 - 98.5. What is the third smallest value in p, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/90 + (-1)\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.268 - 0.2680185. What is l rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*6\/7)\/((-11)\/2464*16)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5764, -11550, -17336, -23122, -28908, -34694?\n\"Answer: -5786*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 1 - 14. Suppose 4*x = -3*z + 13, 0 = 4*x - 3*x + 5*z + 1. Solve p = x*p - g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-8))\/((-5)\/(-4)). What is the third biggest value in 2\/9, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163663429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4. Suppose 2*q + 3 = 5*d, -2*q = -d + 13 - 6. Let f(h) = -h**2 - 2*h + 1. Let r be f(-2). Put a, r, q in ascending order.\nAnswer: q, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.7 - 35.7. What is the nearest to y in -0.5, -0.1, -1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(1872))**2 + -1)*-6.\nAnswer: -89850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12231411 (base 5) in base 11?\nAnswer: -804a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103257 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 9:26 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/21*226\/(-565).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = r - 4*z - 16, -5*z + 4 = -4*r. Solve 3*w + w + 9 = s, -r*s - 2 = 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 983*i**2 - i - 2. Let b(q) = -1973*q**2 + 2*q + 3. Calculate -4*b(m) - 7*w(m).\nAnswer: 1011*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.13 from -690658425.\nAnswer: -690658425.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from smmmnhmn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 4. Let c(h) = 30*h - h**3 - 4 - 11*h + 3*h**3 + n*h**3 + 12*h**2. Let q(u) = 4*u**3 + 6*u**2 + 9*u - 2. Let g(i) = 3*c(i) - 7*q(i). Calculate g(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcxsxxxssxxxxccbbxc. Give prob of sequence xc.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:34 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9.671 * -0.04\nAnswer: -0.38684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*z = 217, -3*z + 433 = 2*m - 0*z. Suppose 7*r - m = 2*r + 3*f, 129 = 3*r - 3*f. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - 67*w**3 - 79*w**3 + 4*w**2 + 113*w**3. Let n(z) = -8*z**3 + 2*z**2. Determine -2*j(m) + 9*n(m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.5, 5, 2\/7, 21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z - 3*z**2)*(-3*z - z**2 + 3*z)*(-z + z + z).\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g + 0*g**2 + 7*g**2 + 10 - 6*g**2. Let z be u(8). Suppose z*f - 15 - 13 = 0. What is the remainder when 27 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 = -z, -5*z + 0*z + 5*m - 5 = 0. Is (z - -1) + (-14 - -3181) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/720050546 and 81\/16.\nAnswer: 5760404368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 d, and 1 u when three letters picked without replacement from hwmwuwqmwmwqdqw.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/102375 and -79\/139500.\nAnswer: 12694500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + 640*f. Let d(m) = -m**2 + 640*m. Let j(t) = -3*d(t) + 4*k(t). Factor j(g).\nAnswer: -5*g*(g - 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/7 (b) 1 (c) -92 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4 = -34*r + 30*r, -3*t = 3*r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 10:30 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 33288*k**3 + 66567*k**2 - 33282*k.\nAnswer: 3*k*(k - 11094)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(300)*-5) + -1 + 3)*1.\nAnswer: -sqrt(17)\/50 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.879118 nanograms in milligrams?\nAnswer: 0.000006879118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from anaaababaabba.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {j: 3, m: 6, b: 3, c: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from rzrrzzz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -44. What is the highest common factor of l and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 + 556*a - 1306*a + 750*a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 25 - 16 - 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194673 is divided by 893?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/19140 and -109\/9570.\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/1 + -4 - 2. Put -4, -5, s in ascending order.\nAnswer: -5, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43\/3*o - 5\/9*o**2 + 18.\nAnswer: -(o - 27)*(5*o + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1480 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 925.8271l to millilitres.\nAnswer: 925827.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(252)*-2 - (2 + sqrt(252) + -1*sqrt(252)))**2 - (((sqrt(224)*6)\/(sqrt(88)\/(-1*sqrt(11))))**2 + 4).\nAnswer: -17156 - 384*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 368.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 3.618.\nAnswer: 0.3618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127 + 124. Sort 119, o, -0.3.\nAnswer: o, -0.3, 119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j = 16*j - 11. Let k(s) = s**2 - 2*s - 6. Let t(b) = 3*b**2 - 5*b - 17. Let l(r) = -11*k(r) + 4*t(r). Let w(x) = -x**2. Determine j*w(i) + l(i).\nAnswer: 2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 3) + 15 + (-70 - -87)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5376744 and 752.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 + 77*k**2 + 38*k + 3. Give h(-38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -559, -839, -1119, -1399, -1679?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by (3*-2)\/(-3)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143345 (base 6) to base 9.\nAnswer: 20762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 2731*r + 662306. Determine k(269).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**4\/4 - j**3 - 2*j**2 - 4*j - 8. Give q(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 185, 210, 247, 290, 333, 370?\n\"Answer: -g**3 + 12*g**2 - 4*g + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 77*a**2. Let v(x) = -850*x**2. What is v(j(m))?\nAnswer: -5039650*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 243666?\nAnswer: 243670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2879.09 + -2824. Let j = l - 77.5. What is j rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 15 = 5*c - 27, 3*c - 26 = 2*g. What is the first derivative of c - 3 + 8*v**4 + 0 wrt v?\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrqqqqqqqqqqqqqqqq. What is prob of picking 1 q and 1 r?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/9)\/t)\/((t\/t**(-9\/4)*t)\/t*t)*(t\/(t*t*t**13))**(2\/5))**(1\/4) assuming t is positive.\nAnswer: t**(-1973\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2 + 10. Let a(n) = 6*n**2 + n + 20 - 19 - 7*n**2. Let r(q) = -q**2 + q + 1. Calculate o*a(g) + 5*r(g).\nAnswer: -g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2137 = 15*s - 2092 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 111\/20 in 2\/17, 3.14, -5?\nAnswer: 3.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-2\/11))**(2\/51)\/(u\/(u\/u**(-26))*(u\/(u*u**(9\/4)))\/u) assuming u is positive.\nAnswer: u**(65797\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10272248 is divided by 425?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2376 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -32333195314 less than 119.1?\nAnswer: 32333195433.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/9 - 4\/9. Let m = -0.027541 - 0.372459. Which is the second smallest value? (a) 23 (b) m (c) 3\/7 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(-30)*36\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4355*i - 48753 + 48753 in the form k*i + j and give k.\nAnswer: 4355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 + 6901*l\/3 + 11510.\nAnswer: -(l - 6906)*(l + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, l: 1, e: 3, g: 6}. What is prob of picking 2 g?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.894 * 5.\nAnswer: -4.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*j + 68, 3*j - 6*j = 15. Suppose -5*r + 12*r = 28. Suppose -r = u - t. List the prime factors of u.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1109 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 257172663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -59, -231, -511, -899, -1395, -1999?\n\"Answer: -54*o**2 - 10*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 4 (b) -28 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 9*l - 4 = 7*l, -4*j - 8 = -l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4756720, 9513442, 14270164, 19026886?\n\"Answer: 4756722*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 161 + 50 + 48 - 410*o - 38 + 54.\nAnswer: -410*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**5\/60 - i**4\/4 - i**3\/2 + 4*i**2. Let b be a(-4). Solve -p - b + 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74.4 + -738144.\nAnswer: -738218.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 255 - 123?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 4:40 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1067.83 - -1059. Let l = n - 0.17. Let y = l + 9.24. Round y to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 2553?\nAnswer: -2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**6\/24 - 7*j**5\/60 - 3*j**2\/2 + 7. Let w(l) be the second derivative of m(l). What is the third derivative of w(o) wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(5*j - 5*j - 2*j**4) + 6*j**4 + j**3 + 0*j**3 - 8*j**4.\nAnswer: 2*j**4 + j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7742 and 5.\nAnswer: -38710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.34 + 20. Let j = -0.275 - d. Round j to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48 + 2\/5*t**2 - 242\/5*t.\nAnswer: 2*(t - 120)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 73*s + 17. Let a(y) = -228*y - 53. Let q(n) = -8*a(n) - 25*h(n). Let i(z) = 4*z - 26. Give -i(x) - 2*q(x).\nAnswer: -2*x + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 - 112. Is 0.1 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69030 and 4485.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 40067*a**3 + 2*a - 39911*a**3.\nAnswer: 156*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1130 + 224?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - 31*b**2 + 43*b - 33. What is m(14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137 + 47. Which is smaller: -633\/7 or r?\nAnswer: -633\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*s = 358*s - 10208 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4174499910 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(7\/6)*w*w**(-6\/5)*w)\/(w*w**12*w*w*w*w**(1\/26)) assuming w is positive.\nAnswer: w**(-2549\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*m + 2752 = 813 - 2697 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a - 15*a**2 + 6*a + 0*a + 2*a.\nAnswer: -3*a*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1021, -2040, -3061, -4084?\n\"Answer: -m**2 - 1016*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y + 5. Let z(v) = 8*v - 5. Let f(s) = -6*w(s) - 5*z(s). Let m = -19 - -24. List the prime factors of f(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - r + r)*(-6 + 1 + 2) + (0 + r + 0)*(-4 + 2 + 4).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 77, 115, 169, 245, 349, 487?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3934*x**5 + x**3 + 27*x**2 - 594694*x wrt x?\nAnswer: 78680*x**3 + 6*x + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + (0 - -1))*(2 - -57). Let d = -183 - p. Let g = d + 68. Solve r - 2*n + 13 = 0, 2*r + 2*n - g + 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266731 at least 266654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 17*z + 62. Calculate u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:50 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011101111001111 (base 2) to base 13.\nAnswer: 51823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -8\/3 and 58\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((-6)\/(-108)*-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 7:54 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 505*c + 9. Let v(b) = 99*b + 2. Give 6*u(m) - 33*v(m).\nAnswer: -237*m - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -20.47.\nAnswer: 1.2282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*k - 2713 + 13055 = 0, 4*c = 5*k + 20680. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 13018*n**2 + 13020*n**2 + 91 + 5*n**3 + 2*n**3.\nAnswer: 7*n**3 + 2*n**2 + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 7*v - 2. Let a be r(5). Solve 2*i - m = -a, 5*i + 0*m + 20 = 4*m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75489472 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.86382cm?\nAnswer: 0.0786382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -281996513 and -0.4?\nAnswer: 112798605.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 883204?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 30 (b) 1 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -62848 + 0.79\nAnswer: -62847.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 10*b**2 - 7. Is c(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1\/2, -4, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*n - 2325, -5*d - 4*n - 620 = 1675. Let l = d + 467. Solve l - 34 = -6*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + 67. Let r = -85 + j. Let x be ((-5)\/90)\/(2*r\/6). What is the third smallest value in x, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/350*89 - (-21)\/(-49). What is the third smallest value in 0.4, 2\/13, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 1:45 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/7 and (-230)\/(-3)*2\/8.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 3*h**4\/2 - 5*h**3\/3 + 11*h**2\/2 - 48. Let z(k) = -k**3 + k**2 - 2*k. Determine 2*j(f) + 11*z(f).\nAnswer: f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-1)\/3*8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2258.8 - 2259. Let k = -13 + 18. Which is the second biggest value? (a) k (b) i (c) 0.05 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 3*k - 3. Let g be c(-6). Let t = g - 58. Suppose 5*i + 49 = -4*x, 2*i + 2*x + t = -i. Is i > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 202*k**2 - 204*k**2 + 2898*k**2 + 1677*k**2 - 1 as y*k + q + z*k**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**6\/18 - 4*z**5\/3 - 31*z**4\/4 - 8*z**3 - 554. Find l such that c(l) = 0.\nAnswer: -3, -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 404*d - 3 + 10 - 437*d.\nAnswer: -841*d + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2021 + -2000. What is the remainder when 755 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - 4*g)*(0*g**4 + 3*g**4 + 0*g**4) + 3*g**5 - 4*g**5 + 2*g**5 + 2*g**5 + g - 2*g**4 - g**4 + 0*g**4 + 4*g**5 - 2*g**5 + 0*g**5.\nAnswer: -g**5 - 3*g**4 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/67238429 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -46*x**2 + 2. Let g(z) be the second derivative of z**3 - 182*z. What is g(f(i))?\nAnswer: -276*i**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 19*r. Let f(q) = 3*q - 26. Determine f(l(z)).\nAnswer: 57*z - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, 6, 1, -0.2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59567 + -59566.99961093. Round c to six decimal places.\nAnswer: 0.000389","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 8*w**2 + 3*w. What is v(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2125645067 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + n - 1. Let c(l) = -1696*l**2 - 7*l - 1. Let g(r) = -c(r) - 3*i(r). Is g(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135283300 rounded to the nearest 100000?\nAnswer: -135300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11698\/9 in -1\/4, 0.08, 0.3, 1\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -10) + -29 + 35 - 34?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(39539*n**4 + 7992*n**4 - 2184*n**4 + 19521*n**4).\nAnswer: -129736*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from haghaeedahaaa.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*f*o*x**2 - 3*c*f + 2*c*o*x - 5*f*o*x**2 + 2*f*o - f*x**2 + 13*o*x**2 - 37*o*x wrt x?\nAnswer: 2*c*f*o - 10*f*o - 2*f + 26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141.22 + 140. Let p = -1.72 - o. Let n = 7.14 - 0.14. What is the second smallest value in n, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/112)\/(((-168)\/(-5292))\/(1\/9))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -492656 and 330904.\nAnswer: -161752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 11079570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1316087? (a) -3\/7 (b) -1 (c) 2\/7 (d) -2\/3 (e) 0 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from kavavakvvva?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 + -16.1. Let c = 11.95 + h. Round c to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -33 + 0*q**2 - q**3 + 19\/4*q**4 + 0*q. What is the third derivative of x(f) wrt f?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -221 + 430. What are the prime factors of q?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-1)\/3*5379\/(-163)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -875018740695*i**2 + 39*i**3 + 875018740695*i**2.\nAnswer: 39*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d**7*d)\/d*d))**(-3\/8)*(d*d\/((d*d**5)\/d))\/(d\/(d*d\/(d\/(d**(1\/8)*d)*d))) assuming d is positive.\nAnswer: d**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 3*f. Suppose q - 2*q - 10 = -l, 5*q + 40 = 3*l. Suppose 0 = l*j + 7 - 27. Let r(p) = p**2 + p. Calculate j*n(z) - 12*r(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - (-6 - (6 - 12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 175*q**2 - 103*q. Let w be o(13). What is the greatest common factor of 78 and w?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 1335 - 1335 + 15*z. Let n(p) = 5*p. What is x(n(t))?\nAnswer: 50*t**2 + 75*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 36 = -0*z. Let c be z\/7 - (-6)\/21. Let x = 1 - c. Are -4 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4748417 (base 12) to base 5\nAnswer: 12012024443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1366 + -1324. Let t(m) = m + 6. Let v be t(0). What is the greatest common factor of p and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67565754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 569229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 112084.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 239.32276.\nAnswer: 1196.6138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-4 + 2 - -6). Let y = 7 - i. Calculate the remainder when 2 + 20 + (-2)\/2 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344.5624 years to millennia.\nAnswer: 0.3445624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0 (c) -25 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 3. Suppose n = -4*y - 15 + 5, -n + y = -5. Let q be n*(0 - (-2)\/(-4)). Put q, a, -5 in ascending order.\nAnswer: -5, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 - 6*c**2 + 30*c + 29. Let f(d) = d**3 + 2*d**2 - 10*d - 10. Let k(p) = 17*f(p) + 6*x(p). Let u be k(-4). Sort u, -3, 5 in descending order.\nAnswer: 5, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 7 = -5*j, -h = 2*j - 0*h - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 + 1. Let s = -37.71 + -0.29. Let c = s - -37. What is the nearest to c in z, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3960, 3956, 3950, 3942?\n\"Answer: -j**2 - j + 3962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5717906 to the power of 1\/2, to the nearest integer?\nAnswer: 2391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/66 and -107\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**2. Let n be l(1). Suppose -15*y + n = -11*y. Is 3369\/y - (0 - 4\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -154849167?\nAnswer: -154849168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 not equal to 784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1610258 divided by 61933\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**3 - 4*c**3 + 4*c**3)*(3*c + 2*c - 4*c) + c**4 + 4*c**4 + 3*c**4 to p*c**2 + o*c**4 + t + k*c**3 + v*c and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-2\/5)*a**(-1\/2)*a*a assuming a is positive.\nAnswer: a**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**2 + 11*f**2 + 13 - 7*f**2 to b*f + h*f**2 + z and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 3*o - 2*o + 1, 4*o = q - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 0.5 (c) -25.4 (d) 0.2 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v - 5. What is the units digit of b(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -111*a**2 - 11*a + 4. Calculate o(-1).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(80)*2)**2*4 - (sqrt(125)*3 + (sqrt(5) - (2 + sqrt(125)))).\nAnswer: -11*sqrt(5) + 1282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/9)\/(c\/(c*c\/c**(-17))) assuming c is positive.\nAnswer: c**(163\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17759917027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dew. Give prob of sequence dw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - h = -67 - 183, 0 = 3*v + h + 375. Let r = -125 - v. Put r, -3, 10, -2 in ascending order.\nAnswer: -3, -2, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s*v - 6*s - 236*v + 10 wrt v.\nAnswer: -s - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 91 = 3. Let v be (-14)\/(-3) + q\/33. Put v, 0, -4 in decreasing order.\nAnswer: v, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.3. Let l be (12\/30 - 10\/25)\/1. Which is the nearest to 1? (a) 3\/5 (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43b0374 (base 12) in base 3?\nAnswer: 220022100121021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.046, 3\/4, -0.5, -5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*z = 289*z + 2*y + 8, 0 = -3*z - y - 4. Are z and -38 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66, 65, 64, 63?\n\"Answer: -u + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473 = 291*n - 3310 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-7))\/((-2)\/2*3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 7. Let b(m) = 2. Let f(k) = 7*b(k) + 2*l(k). Let v(p) = -17*p**2 + 66*p**2 - 31*p**2. What is f(v(h))?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 25 = 5*c - 0*y, 5*c + 4*y = 20. Factor -41*l - c - 14 + 2*l**2 + 17*l + 4*l.\nAnswer: 2*(l - 11)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**2*y**6 + 1111*w**2*y**3 - 116*w**2 - 2*y**3 + 287*y**2 wrt y?\nAnswer: 120*w**2*y**3 + 6666*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 871*z**3 + 295*z**2 - 4*z. Let x(k) = 2*k**3 + k**2 + 2*k. Let u(p) = o(p) + 2*x(p). What is the third derivative of u(v) wrt v?\nAnswer: 5250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 498\/581*(-42)\/9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102210010 + -1102112200?\nAnswer: 20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -5, -0.03 in decreasing order.\nAnswer: 3\/2, -0.03, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17168 times 2369\nAnswer: -40670992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6251 + -2651. Does 25 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 - 3*q**4 + 5040*q - 2*q**2 - 5039*q + q**3 + 5 in the form p*q**3 + f*q + t*q**2 + u + l*q**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1436366 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(72\/(-260))*(-51)\/((-2805)\/22).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.46061 and -68.\nAnswer: -67.53939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3222823 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 937876683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqlclikj. Give prob of picking 1 l, 1 k, and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1732410.3 - 320425\nAnswer: -2052835.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -27?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/12)\/11 - (-32)\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/4 - 707*q**2 - 724757*q\/4 - 5754245\/2 = 0.\nAnswer: -2545, -266, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 290, -2, 35, -38 in descending order.\nAnswer: 290, 35, 2, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22909200 and 4964?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 - 5 + 618*t.\nAnswer: 618*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1037455435 to the nearest 1000000.\nAnswer: -1037000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3488.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, -19, -32, -47, -64, -83?\n\"Answer: -m**2 - 8*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*s + 13 = -1, -11 = -b + 3*s. Suppose 0*h = 4*h. Does h = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*k + 2. Let y(o) = -12*o + 3*o**k - 4*o**2 + 12*o. Let m(i) = 0*i - i + i - 16*i**2. Give m(y(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*o = -43*o - 180. Is o <= 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10d6e (base 15) to base 14.\nAnswer: -157a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 3) to base 14.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913ce (base 15) in base 5?\nAnswer: 303003434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25868 - -1416?\nAnswer: -24452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 + 2367*u**3\/2 - 12958*u**2.\nAnswer: -u**2*(u - 2356)*(u - 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1\/5, -0.3, 0.14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 13*t. Suppose -3*h + 5*r = -h - 4, 3*h - r - 32 = 0. Let l = h - 10. Let b(f) = 2*f**l - 2*f**2 + f**2 + 0*f**2. Give b(q(w)).\nAnswer: 169*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmss when four letters picked without replacement from mssmss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -69426*q**4 - 23569.\nAnswer: -277704*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7686\/9*(-36)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - a**4 - a**4 + (2*a - 2*a + a)*(-2 + 2 + 2*a**3) + a**2 - a**2 - 4*a**4.\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 999920 and 77580.\nAnswer: 8999280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002211122101211 + -11?\nAnswer: 2002211122101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. What is the least common multiple of 11 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 9*h**2 - 3*h + 43. Let o be d(-8). Find the second derivative of 10*s**3 - 41*s**o - 81*s + s**2 - 9*s wrt s.\nAnswer: -186*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d - 14*d + 5*d**3 + 55*d - 29*d.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 - 4*h**2 + h - 1. What is p(-4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(1\/4)*p)*p*p*p**3*((p\/p**(-2\/3))\/p)**(-15\/7) assuming p is positive.\nAnswer: p**(93\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16688 (base 10) in base 12?\nAnswer: -97a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**4 + 24*r**3 - 3*r**2 - 24*r = 0.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/51 greater than or equal to -9\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 699 + -699.5. What is the fourth biggest value in 0.6, 5, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2. Let m(j) = -j**2 + 2*j + 2. Let h be m(y). Is (h - 50\/15)*-66 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h**2 - 254*h + 88. What is the remainder when 6618 is divided by z(-32)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eraababaaaaaar. Give prob of sequence are.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31311 - -1533?\nAnswer: 33244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.14 - 0.06. What is the third smallest value in 1, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*s**2 - 8*s**2 + 3*s**2)*(3 + s**2 - 3) + 17*s**4 - s**4 - 12*s**4.\nAnswer: -s**4 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -0.5 (c) 1\/58 (d) 2 (e) -8713\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -597 = -114*f - 316*f + 263. Suppose 5*p + 30 = -5*z - 0*z, -3*z = p + 14. Let h(o) = o + 4. Let q be h(-3). Sort q, z, f.\nAnswer: z, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Let s = -41 + 42. Solve g*w + 11 + s = 2*p, -4*p - 8 = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/6 - 47*t**3\/2 - 201*t**2 - 396*t.\nAnswer: -t*(t + 3)*(t + 6)*(t + 132)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqrr when four letters picked without replacement from rtrrtrrrttqrrrrqrqq.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -14*k**2. Let h(l) = 14*l + 8381 - 8381. Give z(h(w)).\nAnswer: -2744*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 234*l + 5092. Determine q(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -16436 to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**2 + f + 1. Let z be i(3). Suppose 37 = 5*p - z. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 199, 261, 325, 391, 459?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9226036 by -9226036.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1704000 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 11*y + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4156*l + 4161*l + 2*j + 1 = 0, 3*j = l - 10. Is 5\/2364 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipg when three letters picked without replacement from ipiviwwigigiicp.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, y: 1}. Give prob of picking 2 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + 1 + sqrt(68)) - (sqrt(17) + -1 + sqrt(17)*-1))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2. Let k(p) be the second derivative of 13*p**3\/6 - 34*p. What is k(u(o))?\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s = -4*g - 14, 4*s + g + 11 = 0. What is the smallest value in -4, s, 4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83460683245*g - 83460683245*g - 28*g**2.\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from {o: 1, p: 4, b: 1, e: 2, h: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 3*f - 4. Let t be (14 + -4)*(-4)\/(-10). What are the prime factors of n(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870527924.\nAnswer: 2, 7, 1327, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.66 - -2.66. Sort -0.05, r, 0.2 in increasing order.\nAnswer: r, -0.05, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270\/36*(-16)\/20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -839, -1665, -2489, -3311, -4131, -4949?\nAnswer: -5765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73297038 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 249204 divided by 4372\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 855700.436 to the nearest 10000.\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -497, -1528, -4729, -11186, -21985?\n\"Answer: -181*x**3 + x**2 + 233*x - 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 0*y + 0 + 1\/60*y**5 - 3*y**2 - 1\/4*y**4 - 4\/3*y**3. Determine r(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 1:28 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - h + h + (-h**2 + 4*h**2 - 4*h**2)*(1529 - 1529 - 427*h).\nAnswer: 426*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-2200))\/(168\/420)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v - 33. Let o(b) = -3*b. Determine u(o(k)).\nAnswer: -6*k - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 2 + 2*z**3 - z - 5*z**3 - 3 in the form g*z + y*z**2 + j + f*z**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-19946)\/((-25)\/125*(6 - 1)).\nAnswer: 2, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2057) + -4 + 5 + 1*sqrt(2057))**2.\nAnswer: 8228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -335307\/4 - -83828. Factor 0 - h*g - 35\/4*g**3 - 9\/4*g**4 + 49\/4*g**2.\nAnswer: -g*(g - 1)*(g + 5)*(9*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 110\/(-210)*(-837)\/3069. Let u = -3\/8 + 9\/8. What is the closest to q in u, -1, -19\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k + 8 + 1 - 3 - 6.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 11. Let w = 6 - 12. Let n(s) = s - 10. Let o(q) = w*v(q) + 7*n(q). Give o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1337\/26 + -116\/13. Let m = -18120 + 380798\/21. Let k = -74\/7 + m. Calculate the common denominator of k and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 2 + v + 5 - 2. Let t be k(-2). Solve 2*u**4 - u**5 + 2*u - 4*u**3 - 2 + t*u**5 - 4*u**2 + 4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 12:59 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*s + 2*g + 1, 0 = s - 5*g - 5. Let z(b) = -157 - 165 + 323 - s*b. Suppose 3*n - 5*f + 4*f = 0, 5*f = -4*n + 19. Determine z(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29, -41, -63, -95, -137, -189?\n\"Answer: -5*v**2 + 3*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135650*k**2 - 72 + 31 + 135651*k**2 - 2 + 2 + 4.\nAnswer: k**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.999996 + 6. Round u to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 7 = 4*i, -i + x - 14 = 5*x. Let z(c) = -2*c + 1 + 14*c**3 + 2*c - 15*c**3. List the prime factors of z(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3089.\nAnswer: 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 - -690.1. Let o = -686.43 + i. What is o rounded to 1 decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6593938 and 0.2087756?\nAnswer: 6593938.2087756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -426 + 290. Find the common denominator of ((-2)\/12)\/((-6)\/150) and (5250\/a)\/(-15) - (-4)\/(-2).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 5:08 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-16 - -9 - -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 17. Sort n, 0.4, -1.\nAnswer: -1, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39881.9113 rounded to 0 decimal places?\nAnswer: 39882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 6945 = -5*s, -2*q - 33 = 3*s - 4225. Suppose 5*n = 5*j - 1725, -4*j - n = 2*n - s. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 2*z. Suppose -z*u - 11 = -g, 5*g - 40 = 7*u - 2*u. What is the lowest common multiple of g and ((-2)\/5)\/((-1)\/20)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-415000)\/(-6))\/(14\/(13761 - -15)). Round z to the nearest 1000000.\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*r - 18 = 204*r. Solve r*z = z + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l - 16. Let b(m) = 2*m + 15. Let r(g) = 7*b(g) + 6*h(g). List the prime factors of r(-9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*w - 14*w = -70 - 162 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138 and 7 + 2\/(-6)*-27?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, o: 5, u: 5}. Give prob of sequence mm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*m - 3*m + 8*m + (-3 + 1 + 0)*(m + 2*m - m) - 2*m + 2*m + 2*m + 3 - 3 + m + (m - 3*m + 0*m)*(-1 - 2 + 4).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 787019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 1, 0.349, -2\/5, 9.8, 0 in ascending order.\nAnswer: -2\/5, -1\/6, 0, 0.349, 1, 9.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -864*r**3 - 1515*r**2 wrt r?\nAnswer: -5184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 13166*x**2\/5 - 4337536*x\/5 - 2597784\/5.\nAnswer: -2*(x + 658)**2*(5*x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + l + 2*l + (2*l - 2*l - 2*l)*(3 + 0 - 2) + 3*l - l + 0*l)*(-128 + 128 - 3*l**2 + 5*l).\nAnswer: 3*l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, i: 1}. Give prob of sequence ddi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -27*l**4 + 24429*l**3 + 32589246*l**2 - 30012483648*l - 6671049888 = 0?\nAnswer: -1103, -2\/9, 1004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(5\/2)*(-36)\/24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*z + 515*z - 1132*z.\nAnswer: -116*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/4)\/(409\/136 + -3). Let n = m + -83. What is the remainder when 55 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8a (base 12) to base 15\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*v - 803 - 3246 + 953 = 0 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*14*(-928)\/(-406)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -825*q**2 + 33*q + 5. What is b(-1)?\nAnswer: -853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**6\/120 - v**5\/20 + v**4\/8 + 3*v**3\/2 + v**2. Suppose 25 = -12*g + 73. Does 15 divide r(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*x + 18 = -57*x. Solve 21*j = 23*j + x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9*-174\nAnswer: -330.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4 + 2845*h**3 - 15696*h**2 + 17145*h + 12852 = 0 for h.\nAnswer: -1428, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eebebeegreeeeeeelee. Give prob of sequence lbg.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/(-14) + (-6)\/21. Suppose 5*z + 6 = 11*z. Let l(n) = 9. Let w(h) = -5. Let x(c) = -6*l(c) - 11*w(c). Let o(a) = 2*a - 2. What is j*x(i) + z*o(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.361 - -3.385. Let z = v + -0.024. Sort z, -1, -5.\nAnswer: -5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6557.\nAnswer: 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 66803941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0429374237 rounded to four dps?\nAnswer: 0.0429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 8307?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.0477*144\nAnswer: -150.8688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 12184*g - 1302740.\nAnswer: (g - 106)*(g + 12290)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Let m(y) be the first derivative of 0*y**2 - 1\/40*y**5 + 2 + 0*y**4 + 0*y + 1\/3*y**3. Let o(f) be the third derivative of m(f). Give v(o(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 6)*(-6 - 5 + 3)*(283*o + 5866 - 5866) as x*o + z and give x.\nAnswer: 2264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35520 divided by 3552.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65\/9 - 43\/90. Calculate the common denominator of w and 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*2)**2 - (-2*sqrt(25))\/sqrt(5).\nAnswer: 2*sqrt(5) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 934 = 297*u - 2296. Let j(d) be the third derivative of -d**5\/60 + 5*d**4\/8 + 3*d**3 + d**2. List the prime factors of j(u).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + -2. Let m be (-1)\/3 + 88\/(-33). Let i(p) = 2*p**2 + 2*p - 3. Let f(x) = -5*x**2 - 5*x + 8. What is g*i(a) + m*f(a)?\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1721867 rounded to 3 dps?\nAnswer: -12.172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + q - 4*q)*(2 - 2 + 11) + (3*q - 3*q + q)*(-1 + 3 + 0).\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29756, 29536, 29170, 28658, 28000?\nAnswer: 27196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 6*j**2 + 6*j + 5. Let x be p(-5). Let b be x - (-3 - 1)\/(-1). Let u(c) = -c - 2. Determine u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l = 147. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -341 - 1501?\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9*h - 504 = 0. Let m(z) be the second derivative of -z**4\/12 + 3*z**3\/2 + 7*z**2 - 3*z. Calculate the remainder when h is divided by m(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10 - 6) + -3)\/((-1)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 384 - 384.06. Sort -5, 1, j in descending order.\nAnswer: 1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*o - 57*o = -308. Let y be (o\/(-3))\/((-16)\/216*-9). Solve -10*f = f - y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/20 - 25*b**4\/12 - 25*b**3\/6 - b**2 + 27*b. What is the units digit of t(26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 329.2 to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5\/6 - 112*n**4\/3 + 365*n**3\/2 = 0. What is n?\nAnswer: 0, 5, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 768?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*s - 110 = 72*s + 89*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07686? (a) 5 (b) 19 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1746.854293 + -958.853632. Let n = 788 - p. Round n to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**5 + 100*k**4 - 590*k**3 + 1440*k**2 - 1485*k + 540 = 0.\nAnswer: 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.98 - 5.6. Let v = b + 0.2325. Let a = 0.4 + v. What is a rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -721 - 835 - 4*b**2 - 268 - 4063*b + 4983*b.\nAnswer: -4*(b - 228)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 14*a. Let y be (a - 4) + (16 - 6). Let v(s) = 1. Let q(b) = b**2 + 6. What is y*v(m) - q(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.68, -3, -1157, -2.2, -5 in increasing order.\nAnswer: -1157, -5, -3, -2.2, -0.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(200)\/sqrt(160) - sqrt(20)*1*5)\/(-4*(sqrt(90) + sqrt(10) - sqrt(10)) - (sqrt(360) + (sqrt(360) - sqrt(360)*1))) + -2.\nAnswer: -2 + 19*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 7*j**2 - 3*j - 6. Let k(p) = 28*p**2 - 29*p**2 - 22884*p + 22884*p - 1. Give -6*k(g) + r(g).\nAnswer: g**3 - g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 151*d + 3541. Let b be r(29). Solve -2*a = 5*f - 2, -b = -3*a + 11*f - 12*f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-16) + 60\/(-160).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*-3*4\/(-48)*-35. Let f be ((-6)\/315*3)\/(15\/d). Let l be 1\/2 + (-48)\/36. What is the third biggest value in f, 3\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - -1*(-1 - 1). Let g(v) be the first derivative of -1 - v - 6 + v**2 + 8 - r*v**2. Differentiate g(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 665 = 4*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2 - 3*v + 1. Let h(i) = 21*i**2 - 15*i + 6. Suppose 2*s + y - 9 = 0, -2*y = 5*s + y - 25. Calculate s*h(d) - 11*t(d).\nAnswer: -2*d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 0*h - h)*(4 - 4 + 2*h) - 1 + 1 - h**2 + (-1 + 1 - h)*(-2*h - 3*h + 3*h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -47*k**3 - 8*k**2 + 14*k - 8. Let x(o) = -31*o**3 - 5*o**2 + 9*o - 5. Let g(h) = 8*x(h) - 5*z(h). Find the second derivative of g(p) wrt p.\nAnswer: -78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.35 and -214.293.\nAnswer: 75.00255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5550 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 0.3, -4, 5, 0.4, -0.33?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*x - 1961442, 24*x + k - 2615275 = 20*x. Suppose -33*u - 56848 = -x. Round u to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 6*m**5\/5 - m**4\/6 + 31*m. What is the third derivative of r(a) wrt a?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 l when three letters picked without replacement from lllvvlllll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 520*l**3. Let u be b(1). Suppose -3*n + 312 = -0*o + 4*o, -5*n + 4*o = -u. Suppose -52 = -4*g - 0*g. What is the highest common divisor of n and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - o + 4 = 0, 49*h - 16 = o - 5*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39212482 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -359, -528, -685?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 39*w + 318. Let q be s(-7). What is the greatest common divisor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22884 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, d: 2, f: 6, j: 3}. What is prob of picking 3 j?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1692\/4794*(-34)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -0.4, -1.3 in descending order.\nAnswer: -0.4, -1.3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3291*b - 6662*b + 3402*b.\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 379114, 379110, 379104, 379096, 379086?\n\"Answer: -x**2 - x + 379116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22374281 and 29419.\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -655*u - 7867. Let d be o(-12). Let y(i) = -7*i**3 - 2*i**2 + 3*i - 3. Let g(b) = -15*b**3 - 4*b**2 + 7*b - 6. Determine d*y(t) + 3*g(t).\nAnswer: 4*t**3 + 2*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(21)*2)\/(sqrt(700)*2) - ((-5*(sqrt(3) - (sqrt(12)\/sqrt(4) + 0)))**2 + -4).\nAnswer: sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5255407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 16*v**2 - 230*v - 78*v**2 - 106*v + 336*v.\nAnswer: -94*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268 divided by 5?\nAnswer: 1268\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5040 divide 486614572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127 + 137. Let l(y) = 5*y - 41. Let k be l(p). Suppose -5*j + 44 = 2*v, -4*j - 7*v + 2*v = -25. Which is bigger: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4 + 969*m**3 - 5997*m**2 - 24729*m - 17766 = 0. What is m?\nAnswer: -329, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 12*a**2 + 2*a - 1. Let l = 4 - 1. Let i = 8 - l. What is the remainder when h(1) is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -226.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*k + 3*l, -6*k + 2*k - 29 = 5*l. Let b(z) = -z - 2. Let o be b(k). Suppose -u + 80 = o*u. Calculate the least common multiple of u and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70722387*b**3 - 97116520 with respect to b.\nAnswer: -212167161*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/54 and 30\/146741?\nAnswer: 7924014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3955249574.\nAnswer: 2, 199, 479, 20747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - 2*t**2 - t - 13. Let o(u) = -u**3 - 3*u**2 - 2*u - 13. Let k(d) = 3*o(d) - 2*p(d). What is the remainder when k(7) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 861, 2348, 5057, 9396, 15773, 24596, 36273?\nAnswer: 51212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 27. Let h be s\/((-40)\/(-12) + -3). Let j = -28 - h. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - r + 11263. Let x be d(0). Let t = x - 4640. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.4, -2\/5, -562, 1\/44, -47?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 224.6? (a) 4 (b) -3 (c) -1\/6 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 52 - 33. Suppose 2*x = -3*x + c. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6970 = -f - s, -67*s - 13908 = -2*f - 61*s. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 90*n**3 + n**2 - 4. Let x be k(-2). Round x to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9292 and 6161.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**4\/7 - 1436*n**3\/7 - 406*n**2 + 15776*n\/7 + 17184\/7 = 0.\nAnswer: -716, -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/4, 1\/2, 5, -5 in increasing order.\nAnswer: -5, 1\/2, 17\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 7, -1 in descending order.\nAnswer: 10, 7, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 47, -2441, -0.5 in ascending order.\nAnswer: -2441, -0.5, 29, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -4*x**2 - 6*x - 5. Does 17 divide s(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.038\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**4\/4 + 3*l**3 + 9*l**2\/2 + 12*l - 15663. Let o = -11 + 3. Determine n(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 465 = -111. Let l = 168 - 110. Let k = l - 51. Calculate the remainder when d is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s - 7. Let i be c(-5). Let k(u) = 2*u - 7. Let w be k(i). Does 8 divide 93\/w - (-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, g: 3}. Give prob of picking 1 p and 3 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/8 and 93\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49.7 - -49.6. Let q = 43.5 - 44. Which is the third biggest value? (a) p (b) q (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6574.54ml in litres?\nAnswer: 6.57454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -30. Let f be (16\/14 - 1) + 734\/7. What is the third derivative of 98*s**3 - f*s**3 - 9*s**2 - a*s**2 wrt s?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u + 61 + 95 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umuqumquum. Give prob of sequence um.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 - ((-3 - -102) + -50)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830353 is divided by 81?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2885948 or -2885949?\nAnswer: -2885948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooxyosys. Give prob of picking 1 x and 1 y.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2\/57, 65 in decreasing order.\nAnswer: 65, 11, -2\/57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/5*(-5 + 0). What is the remainder when 10 - (8 + -1)\/(34\/(-34)) is divided by (18\/h)\/((-6)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -66, -61, -56, -51?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f + t - 170 = 0, -f = -4*t - 48. Suppose 6*d = -d - f. Is d less than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392) + (sqrt(392)*-1 - sqrt(392))*-3 + sqrt(392))\/(sqrt(4)*-1*5 + sqrt(4) + (sqrt(200)\/sqrt(5))\/sqrt(10))*-5*4.\nAnswer: 1120*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 6062, 3, 4, 26 in increasing order.\nAnswer: 2, 3, 4, 5, 26, 6062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 7. Let n be (-5)\/(-1)*16\/q. Suppose 0 = -n*p - 0*p + 56. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**3 + 120*i**2 + 684*i + 560 = 0. What is i?\nAnswer: -4, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(2\/37)*b**(-2\/3)\/b assuming b is positive.\nAnswer: b**(-80\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/((-70)\/(-189)))\/(-5*1\/5).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.281441mm?\nAnswer: 1281.441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -14012.62 to the nearest 100.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1\/63, 14, -2.4 in descending order.\nAnswer: 14, 2\/5, 1\/63, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -5, -4 in decreasing order.\nAnswer: -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 92 = 2*u, 366*u - 16102 = 143*p - 145*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 295*v + 118*v - 208*v - 9225 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 52. Let j(s) = -4*s**3 - s**2 + 11*s + 14. Let b be j(z). Solve 0 = -3*t + 7*t + b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7607546 rounded to 2 decimal places?\nAnswer: 2.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 5*f - 5*f + (0*f - 5*f + 4*f)*(1 - 4 + 5) + 2*f - 2*f - 4*f)*(1235*f + 148*f**3 - 1235*f) as k*f**3 + h*f + n + i*f**4 + c*f**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20336426 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13509*p**3*y**4 + 1315*p**3*y**2 + 4*p**3 + 1672*p**2*y**4 + 12*p**2 - 2*p*y**2 - 4*p*y - y**2 wrt y?\nAnswer: -324216*p**3*y + 40128*p**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 585?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 - (16\/4 - 49) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrsvsovcv. Give prob of picking 1 o, 1 v, and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-220)\/12*(-10 + (-704)\/(-80))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 2:32 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*d - 26, -2*d + 4*d - 4 = 2*b. Let y be ((-6)\/b)\/(2\/4). Suppose 0 = l - 12 + y. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x**3 - 290*x**2 - 400*x = 0. Calculate x.\nAnswer: -10, -8\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 43 + 44 - 118 + 1539*w - 1593*w.\nAnswer: -54*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -619 - -605. Let q(w) = -w**3 - 15*w**2 - 13*w + 26. Let t be q(s). Solve -t*l - 7 = -19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Suppose 5*d - 20 = x, 3*r - 32 = d - 0*d. Let c = r + -4. Calculate the least common multiple of c and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**5\/7 - 592*b**4\/7 + 1212*b**3\/7 + 1784*b**2\/7 - 2416*b\/7 - 2400\/7 = 0.\nAnswer: -150, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 + 3 + 2)*(-6*h + 4*h + 0*h) - 1 + h + 1 - 5*h + h + 5*h - h + 3*h + 0*h - 7*h - 7*h + 6*h)*(3 + 0 - 2) to the form q + i*h and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4088 - -4112. What is the greatest common factor of b and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -165 + 173. Sort v, -1.4, 4 in descending order.\nAnswer: v, 4, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101323 (base 4) to base 6\nAnswer: 40135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 980 by 73.\nAnswer: 980\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x + x + x - x + x - 2*x + (0*x + 0*x - x)*(4 - 2 - 3) - 3 - x + 3 + 3 - 4 + x + 2 to the form p + o*x and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 4 (c) 714\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 4*s. Let g be k(-1). Suppose -g*m = u - 2150, -u + 1826 = 4*m + 106. Let c = m + -142. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1872)*-1 - sqrt(1573)*-2) + (1*sqrt(117))\/sqrt(9)*-1)**2.\nAnswer: 3159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9667*o**3 + 9667*o**3 - 31*o**6 - 25*o**2 wrt o.\nAnswer: -3720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 0*j - 2*j)*(2*j + 4 - 4) + (3*j - 4*j - j)*(-2*j - 2*j + j) - 2*j**2 - j**2 + j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnynnnnyan. Give prob of picking 2 y and 1 a.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 93\/7 (b) -1\/3 (c) 6\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -42442807810 from -3.\nAnswer: 42442807807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000001100001 + 100111011101?\nAnswer: 1011101000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.7 + 5.508. Let r = o - 0.308. Let k = 0.8 - 1. Which is the second smallest value? (a) k (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, j: 2}. Give prob of picking 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -4*t**2 + 10\/3*t**3 - t**4 - 2 + 2*t. Suppose s(z) = 0. Calculate z.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(48)*-1)\/sqrt(4))\/(sqrt(30)\/((sqrt(5) + sqrt(245))*3)).\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964765665?\nAnswer: 3, 5, 21439237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10525 - -13450?\nAnswer: 23975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**3 - 21*u**2 + 465*u + 15. Let l(q) = -q**3 + q**2 - 78*q - 1. Let c(z) = -i(z) - 6*l(z). What is c(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 340 = 241 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8)**(-40)\/(((x\/x**(-4))\/x*x)\/(x\/(x*x**4))) assuming x is positive.\nAnswer: x**(-329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l - 50 = 0. Let m be 5\/(-25) - 212\/l. Suppose 55 = v - 2*z, -m = -v - 2*z + 34. Calculate the greatest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*-0.133\nAnswer: -0.1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2178?\nAnswer: -1\/726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let o(q) be the second derivative of q**7\/420 - 5*q**4\/12 - 37*q. Let v(h) be the third derivative of o(h). Give a(v(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.2, -4, 1\/9, 3.19, -2005, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 5*a + 5*a + 2*a**2. Suppose 4 = c + 2. Let i(o) = -o - o + 2*o + 4*o**c. Calculate v(i(f)).\nAnswer: 64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1154*b**2 - 123*b + 2 wrt b?\nAnswer: -2308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100100101100 + -101?\nAnswer: -110100100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-3))\/(-4))\/(108\/1620) - -18?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*x + 4935346 - 4933325 = 0 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*m - 138 = -154, 0 = 4*h + 4*m + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (945\/70)\/(6\/(-4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -10*v - 28. Let c(h) = 7*h + 19. Let t(i) = -7*c(i) - 5*u(i). Let q be t(-8). Let r be -146*((-2)\/(-4))\/q. Round r to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1974 is divided by 633.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 131. Suppose -u + 0 = -z. Let m = u - 14. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 51, 163, 381, 741?\nAnswer: 1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -123 in 1\/12, -0.3, 2\/7, 1\/9, -15\/11?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - x + 20, 3*j = -3*x - 6 + 18. Suppose 4*w + 58 = k, -4*w - 78 + 10 = j*k. Let d = -22 - -8. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - f + 8. Let s be z(0). Suppose -3*n - s + 2 = 0. Let o(h) = -2*h + 3. Let t be o(3). Sort n, t, 0 in ascending order.\nAnswer: t, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 284743 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -171 + 331. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -80. Calculate the common denominator of -25\/2 and ((-3)\/(r\/15))\/24*-1.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-8)*2\/(-20)*-48?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021605689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - -66 - 24) + (0 + (-6 - -2) - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -25*n + 9. Let a be u(-4). What is the derivative of -109*j**3 + 10 - 3 + a*j**3 - 7*j**4 wrt j?\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, s: 4}. Give prob of sequence ssy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 190, 3549, 12798, 30883, 60750?\n\"Answer: 491*y**3 - y**2 - 75*y - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 1\/3*z**4 + 53\/60*z**5 + 2*z + 0 + 1\/3*z**3 + 7*z**2. Find the second derivative of k(j) wrt j.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - 133020330300?\nAnswer: -133020330221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -204 - -91. Let r = -10 - p. Suppose 0 = -2*i - u + r, -i + u + 43 + 1 = 0. What is the highest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -11 + -3 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*65\/2925*190\/(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9543kg to grams.\nAnswer: 2954.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1083726 divided by 1098\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -7. Does 3 divide (-268)\/(-20) + (-4)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(-2 + 2 - 2*q**3) + (-5*q**2 + 3*q**2 + q**2)*(-2*q + 3*q + q) + 0 + 0 - 2*q**3 + 2*q**3 + 1 - 1 + 0 - q**3 + 0 - 6*q**3 + 12*q - 12*q.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1231 is divided by 310?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 at least 252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16, -1, -4, -2 in ascending order.\nAnswer: -4, -2, -1, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4268*z - 72467. Calculate c(17).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5731 + 5746. Solve -l + 4*b = -f, 2*b + 0 = -2*l - 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmmmmlmmlmmqm. Give prob of picking 1 l and 1 q.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 3*z**2 + 150 - 5*z**2.\nAnswer: -2*z**2 + 173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -305, -580, -927, -1340, -1813, -2340?\nAnswer: -2915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011111010011000110100 (base 2) in base 3?\nAnswer: -111202202002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21106*g**3 + 11499*g**2.\nAnswer: -126636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*((2 + sqrt(468) - sqrt(468)) + 4) + (sqrt(65) + sqrt(65) + sqrt(65) + -4*(sqrt(65)*-2 + sqrt(65)) + sqrt(65) + sqrt(65))\/sqrt(5) + -3)**2.\nAnswer: -10692 + 2916*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1551567*q**4 + 0*q**3 + 451 + 0*q**3 - 1551565*q**4 + q to the form l*q**2 + w*q**4 + f*q**3 + u*q + x and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 24*p**2. Let v(l) = l**2. Suppose 0 = -5*u + 3*u - 88. Let x(m) = u*v(m) + 2*c(m). Let d(i) = -i**2. What is x(d(y))?\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 953 + -914. Solve 102 = 5*i - m*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -10*c - 35. Let y be t(-8). What is the highest common factor of y and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10\/((4\/(128\/(-12)))\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 7011.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 37.2?\nAnswer: 29.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.16 + -5.46. Sort 0.05, w, -24.\nAnswer: -24, w, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 0. Let o = 4 + -7. Let r = o - -3.4. Which is the second biggest value? (a) r (b) -1\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.566.\nAnswer: -2.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2 + 4. Let y(l) = 3*l**3 + l - 1. Give y(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83*f**5 + 978*f**4*r - 4396*f*r + f + 2*r - 4 wrt f.\nAnswer: 1660*f**3 + 11736*f**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -85553*0.4\nAnswer: -34221.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26333 + 12 - -19 - -13?\nAnswer: 13, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**3 - 261*w**2 + 525*w + 1592. Factor x(j).\nAnswer: -3*(j - 1)*(j + 175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -208*t + 37629. Determine c(181).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -5*f**4\/6 + 29*f**3\/3 + f**2 - 1046. Give m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itt when three letters picked without replacement from itttiittttkkttkttt?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4906\/3071 - -60\/37. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.633029 nanometers to millimeters.\nAnswer: 0.000007633029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 - -29. Suppose 4*w = -n + g, -w + 4*n + 30 = n. Calculate the remainder when 113 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 3:57 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35242533.\nAnswer: 3, 145031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 113550 and 2640?\nAnswer: 9992400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 560, 585, 608, 629, 648, 665?\n\"Answer: -g**2 + 28*g + 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -53)\/(-5) - 9. Solve -3*g = 5*n + 6, 2*g + 2*n + 8 = -r*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45881440, -91762866, -137644304, -183525760, -229407240, -275288750, -321170296, -367051884?\nAnswer: -412933520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444205 to the power of 1\/2, to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 3*f = -117, -2804 = 2*u + 3*f - 2771 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 - -60?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-2 + 5\/4). Suppose -9*s - 17 = 19. Sort s, i, 0.\nAnswer: s, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, m: 3}. Give prob of picking 2 m and 2 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 326*i + 185. Calculate the remainder when m(8) is divided by 127.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**7\/21 + l**4\/8 - 2*l**2 - 11*l. Let h(r) be the first derivative of g(r). Find the second derivative of h(b) wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92\/1449)\/(14\/(-28) + 6\/(-168)*10).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 1305004?\nAnswer: -1304662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 313714842 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -177 (c) -2\/15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 90, 55, -8, -105, -242, -425?\n\"Answer: -g**3 - 8*g**2 - 4*g + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**4\/6 + 2*b**2. Let p(g) = -8*g**2 + 6. Let m(x) = 9*x**2 - 8. Let d(a) = 3*m(a) + 4*p(a). Calculate n(d(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101001110111100 - -101100101?\nAnswer: 1000101010100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82302 divided by 5.\nAnswer: 82302\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6709597.92 - -0.8?\nAnswer: 6709598.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ucocouooooo?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29607943, 29607932, 29607921?\n\"Answer: -11*n + 29607954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 569*i**3 - 149 - 378*i + 375*i - 568*i**3 as d*i**2 + g*i + m*i**3 + u and give u.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 9 - 3. What is the first derivative of -3*u**2 + 2 - 2*u**2 + s*u**2 wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 701500 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 25983*b - 621864.\nAnswer: -3*(b + 24)*(b + 8637)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2448)*-5*1 - (2 + (sqrt(2448) - 1*sqrt(2448)) - (-1*(-1 + sqrt(2448)) + sqrt(2448) + sqrt(2448))))**2.\nAnswer: 216*sqrt(17) + 198289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k*k**6*k)*k)**45\/(k**(6\/11)*k**(8\/7)) assuming k is positive.\nAnswer: k**(-13990\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37739*f - 37784*f = -1305 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 8*n**2 - 13*n + 17. Let z be t(-4). What is the third biggest value in 0, -2, z, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3\/3 + 4*t**2\/3 + 14*t\/3 + 8\/3 = 0. Calculate t.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12375, 12367, 12353, 12333, 12307, 12275, 12237?\n\"Answer: -3*t**2 + t + 12377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/33*(-6)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + 16 + (-21 - (5 + -34))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 47 + (34 - 1) - 82\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 294 = 214 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/3 + 11*p**4\/3 + 43*p**3\/3 + 23*p**2 + 12*p.\nAnswer: p*(p + 1)*(p + 3)**2*(p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*n - 32 - 1413 = 0, 0 = -n - 5. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbphpbp. What is prob of sequence hp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2464 and 312224?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1) - -2 - 0. Suppose 0 = -3*k + 9, -21*f - 4*k + 28 = -17*f. Solve i + f = -3*i, -m + j = -i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011101 (base 3) to base 16\nAnswer: 34f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 + 4*a**2 - 2*a - 1. Let d be l(2). Let z = -2 - d. Suppose k = -z*k. Solve k = -2*t + 5*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-1)*(-25)\/15. Suppose -n + f + 4 = k, 2*k - 42 = -5*n. Calculate the smallest common multiple of 10 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3\/13 - 35450*i**2\/13 = 0.\nAnswer: -17725, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/20 - 7\/(-35). Suppose -2*z = i + 34, -5*z + 3*z - 160 = 4*i. Let v = i - -43. Sort -0.5, w, v.\nAnswer: -0.5, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23967647 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.041 - 0.061. What is x rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 11*d = -40*d. Let y be (14\/(-6))\/((-1)\/3). Suppose 5*o + 2*p - 3505 = y*p, -5*o - 5*p + 3505 = d. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 + 7*r. Let p(h) = -2*h**2 - 4*h. Let u(x) = 4*x + 2. Let a be u(-3). Let i = a - -4. Calculate i*z(s) - 11*p(s).\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-10 - -8 - (0 - -15)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hwwwwwwwwhwww.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 4) to base 10.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**3 - o**2 - 2. Let z(r) = r + 1. Let a(s) = m(s) + z(s). Suppose -2*l - 27 = 5*g, -g + 3*l = 3 - 1. Let k = -4 - g. Determine a(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from preererrlufpluuelueu. What is prob of picking 1 e, 2 p, and 1 r?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18, -114, -274, -498?\n\"Answer: -32*h**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3. Let t(i) be the second derivative of -1\/6*i**3 + 0*i**2 + 0 + 1\/12*i**4 + 3*i + 1\/20*i**5. Calculate t(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*2 + 2)**2.\nAnswer: 24*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/17)\/(135\/7290*54\/4)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 171*d**2\/4 + 30*d + 1.\nAnswer: (3*d + 2)*(57*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 197, 694, 1495, 2606, 4033, 5782, 7859, 10270?\n\"Answer: x**3 + 146*x**2 + 52*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 10. Let n be s(5). Let x = 38 + -63.5. Let y = -25 - x. Which is the second biggest value? (a) -4 (b) y (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -9062206.\nAnswer: -9062203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**4\/12 + 26*h**2. Let j(k) be the second derivative of k**4\/6 - 89*k. Determine j(m(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23668?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9f1a (base 16) to base 10\nAnswer: 40730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -188*t - 255. Let f be w(4). Which is bigger: f or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**4\/12 - 48*n. Let s(p) be the second derivative of 31*p**3\/3 - 9*p. Calculate s(t(c)).\nAnswer: 62*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5871.72*0.01\nAnswer: 58.7172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -2*j - 84, 2*c - 43*j + 47*j = -54 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (7 - 0)) + 117. Let q = 167 - o. Suppose 0 = h + 1 - 7. What is the greatest common divisor of q and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59882561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -846581.3168 rounded to the nearest ten thousand?\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 260 = 4*y, -4*y - 5 = -1. Calculate the least common multiple of 8 and t.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*n - 85 = 5*i - 370*n, 2*i = -n + 8 + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 1. Let v be f(-4). Let b = v + -3. Suppose 0 = 3*o - h - 2*h - 3, b*o = 5*h - 10. What is the highest common divisor of 2 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -4.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbu when three letters picked without replacement from bbuididbiiiibbubbci?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/62?\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -34, -112, -274, -550, -970, -1564, -2362?\n\"Answer: -5*o**3 + 3*o**2 + 2*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*c = -22, -3*c + 11 = -0*z - z. Let h(n) = -z*n - 7*n + 1 - 2*n. Let t be h(-3). Round t to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (1 - -13 - (6 - (13 + -12))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lullulll. What is prob of sequence ulul?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15652 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(216))\/(sqrt(2) - 3*sqrt(18)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 64*n**2 - 192*n.\nAnswer: -4*n*(n - 12)*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 30*z - 2214 = 0. Calculate the remainder when z is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003428552 rounded to six decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -337*m*r**2*u**2 - 4*m*r - m*u**2 + r**2*u**2 + 62*r*u**2 wrt r?\nAnswer: -674*m*u**2 + 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 340757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 10110000011011?\nAnswer: -10110000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 334 = 48*l - 61 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 460 (base 9) to base 10\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490\/343 - (-404)\/(-28).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000840502 to six decimal places.\nAnswer: -0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from wpwpwppewwwwwrq.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tctkdct. Give prob of picking 3 k and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from easzrjj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18248251?\nAnswer: 7, 887, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -6\/25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33822707?\nAnswer: 17, 1989571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 1270.8?\nAnswer: 254.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49905319\/28 or 1782333?\nAnswer: 49905319\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166*i**3 + 580*i**3 + 112*i**3)*(4*i**2 - 2*i**2 - i**2).\nAnswer: 526*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*l + 360 = 196*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -192557 (base 10) to base 13\nAnswer: -69851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 455 - 455.00000253. What is d rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4 - 8234*g**3 + 8233*g**2 = 0. Calculate g.\nAnswer: 0, 1, 8233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 4:53 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008607630796 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 + s**2 - s**2 + (s**2 - 5*s**2 + 2*s**2)*(-8*s + 8*s + 14*s) to the form y + x*s**3 + c*s + h*s**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 10 - (-103)\/5*(-83)\/249.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 17*g**2 - 2. Let y(b) = 375*b**2 - 45. What is -45*i(q) + 2*y(q)?\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -23*n**2 + 72*n + 253. Let d(y) = -8*y**2 + 24*y + 84. Let p(t) = -17*d(t) + 6*f(t). Find z such that p(z) = 0.\nAnswer: -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 393?\nAnswer: 10\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert a7d6 (base 15) to base 9.\nAnswer: 53653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35952.15 or -11\/4?\nAnswer: -35952.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -703.2 or 0.0222?\nAnswer: -703.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(((-4)\/(-20))\/((-17)\/(3060\/24)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -36. Let s be (-4)\/(-6) - 20\/i. Let u = 8 - 3. What is the smallest value in u, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 3*a. Suppose -4*c + y + 12 = a, c + 4*y - 11 = 9. Suppose c = g - 5*g. Put -5, 3, g in increasing order.\nAnswer: -5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7c - 722?\nAnswer: -79e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*j**3 - 4*j**2*o - 16*o + 12 wrt j.\nAnswer: -27*j**2 - 8*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5101072 to the nearest integer?\nAnswer: 2259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxwwxssiirswiwiiisi. What is prob of picking 2 s, 1 w, and 1 r?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m - 4. Let w be i(2). What is the remainder when 8*w\/(-6)*(-9)\/2 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22 + 0.08. Suppose 10 = 3*h + o - 7, 0 = 4*o - 20. Let w(i) = 2*i**2 - 13*i + 15. Let q be w(h). Which is the nearest to l? (a) -2\/7 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 + -7 + 5 + (0 + -4 - (-474 - -478))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 5:54 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -2 - (6 + -77 + 14 - -12).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvvz when four letters picked without replacement from {a: 4, d: 1, v: 3, z: 5, t: 1}.\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 428*n**4 - 39*n - 3914 + 373*n**4 + n**2 - 797*n**4 wrt n?\nAnswer: 16*n**3 + 2*n - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -319, -438, -621, -856, -1131?\n\"Answer: 2*v**3 - 44*v**2 - v - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 27*m + 448 = 0. Suppose -5*w = 8 - m. Suppose 0 = 5*v + 5*t + 35, -4*t - 2 = -v - 2*t. What is the third smallest value in v, -1\/3, -0.13, w?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3*q + 84 - 375, 3 = -q. Suppose 3*d + 116 + 61 = 5*v, 0 = d + v + 51. Let t = d + z. Is 10 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 > -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) - (sqrt(396) + 3 + sqrt(396)*2).\nAnswer: -12*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -322, -1286, -2904, -5182, -8126, -11742, -16036, -21014?\n\"Answer: -s**3 - 321*s**2 + 6*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**2 + 0*b**2 - 11 - 7*b**2 to d*b + q*b**2 + h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/3 + 202*v\/3 - 781 = 0.\nAnswer: -213, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 41113 + 0.045464\nAnswer: 41113.045464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 209*b - 9 + 6 - 1 - 9. Is 11 a factor of d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(6\/4) + 2. Suppose 2*u - u + 11 = -3*c, -5 = -5*u + 5*c. What is the nearest to q in u, 1\/5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13963 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 17 - 3 = 0. Suppose 5*u - m = -61, 0*u + 10 = -2*u + s*m. Let g = 20 + u. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**2 - 140*i + 784 = 0.\nAnswer: 7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**5\/12 - 85*c**4\/2 - 8670*c**3 - 1514*c**2. Find a such that w(a) = 0.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 860.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*l**4 + 9*l - 3*l**4 + 15*l**4 wrt l?\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*s + 46*s - 936999. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -72*s - 1110 + 1110 - 491*s + 84*s. Let o(k) = 3*k. Calculate n(o(x)).\nAnswer: -1437*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 9*a - a)*(-3*a - 1 + 2 + 2*a).\nAnswer: 8*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/9)\/(-2)*(-189)\/1701)\/(-5 + -1).\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 + 2*j**2 - 4*j + 6. Let n be d(2). Let t(q) = 10*q + 2 - 40*q + q**2 + 13*q + 26*q. Determine t(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 40*x + 1164. Give m(7).\nAnswer: 1444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1844 - -2218. Calculate the highest common divisor of 704 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/5 - 42*q**2\/5 - 8*q.\nAnswer: 2*q*(q - 5)*(q + 1)*(q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/9 (b) -1\/6 (c) 2 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 12 = -24. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 16. Let y = -101 - -182. Let a = y - 78. Let o be u(a). What is the highest common divisor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, -608, -1632, -3056, -4886, -7128, -9788?\nAnswer: -12872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(56) + (sqrt(560)*-1)\/sqrt(10)))\/(sqrt(72)*-4 + sqrt(8) + sqrt(32)*5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13431, 13430, 13429, 13428?\nAnswer: 13427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = -34*o + 40*o. Suppose 0 = 93*n - o*n. Is -4\/63 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002788 rounded to 5 decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*u**2 + 190*u**2 - 39*u**2 + 69*u**2.\nAnswer: 392*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1416 - -1424. Let g(v) = v**3 - 3*v**2 - v + 3. Let i be g(3). Solve k = 3, 5*z - k + 2*k - t = i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1103464.\nAnswer: 3310392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0690467007 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, m: 1}. Give prob of sequence fmf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g*u**5 + 8*g*u**3 + 20*g*u**2 - 9*g*u - 28*u**6 - 6 wrt u.\nAnswer: -180*g*u**2 + 48*g - 3360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 10 - 8 - 2 - 6*p. Let x(h) = -6*h**2 + 19*h + 62. Let q(s) = -7*d(s) - 2*x(s). Determine g, given that q(g) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 9*g**2 + 7*g - 5. Suppose -9*m = 94 - 184. What is w(m)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 184 * 0.773\nAnswer: 142.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(44) - (-4 + sqrt(704) + sqrt(11)).\nAnswer: -7*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 + 28*a**2 + 25*a - 5. Calculate i(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12034244043 + -143?\nAnswer: 12034243400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**3 - 284723515*f**2 - 1708340955*f - 2562511365 = 0.\nAnswer: -56944697, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 divided by -2?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 - 70*z + 2. Give k(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 339 + 4\/8*-10. Let j = -2605\/8 + x. Calculate the common denominator of j and 31\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(264) - sqrt(264)*-2*6) + sqrt(264) + sqrt(264))\/(sqrt(176)*-1))\/(-6*2*(sqrt(8) - sqrt(24)\/sqrt(3)*-1)).\nAnswer: 5*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3521)\/2012 + (-161349)\/(-92204). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1224 = 94*a + 59*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1. Let k(p) = -6. Let j(i) = -5*c(i) - k(i). Let w(q) = 4. Let m(l) = -5*j(l) + w(l). Let z(n) = -4 - 55*n**2 + 0 + 58*n**2. What is 4*m(g) - z(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*k + g + 2, -k + 4*g = -8. Suppose k = -7*f + 2*f + 12663130. Let m = 24267374 + f. Round m to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 - 28*q - 96. Let z be l(-3). What is the greatest common factor of z and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 34*i**2 - i + i - 36*i**2. Let p(f) be the third derivative of 127*f**5\/30 - 6*f**2 - 14*f. Determine v(p(x)).\nAnswer: -129032*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 643.952 to the nearest integer.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -3*v**6\/10 + 3*v**5\/10 + 3*v**4\/4 - v**3 - 20*v. Factor u(s).\nAnswer: -3*s*(s - 1)*(s + 1)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u = 4*b - 8, 0 = -5*u + 5. Suppose 3*l - 3*c - 12 = 0, 3*c + 11 = 4*l - b. Let x(w) = -37*w + 37*w + 27*w**l. Let n(q) = q. Give n(x(j)).\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(5) + (sqrt(5) - (sqrt(45) + 5))**2 - -1*sqrt(45)).\nAnswer: 45 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/17)*z*z**(1\/23)*z*z*z**12*z*z**0*z*z assuming z is positive.\nAnswer: z**(7009\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11264421 by -139.\nAnswer: -81039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 11*w**2 + 10. Is b(11) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322562949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -984.3 - -842. Let r = -136 - i. What is r rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6410347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y = -24. Let m(n) = -n**3 + 5*n**2 + 6*n + 2. Let j be m(y). Let b be -1*(-2*1 + j). Solve 2*x + 8 + b = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-53)\/40 - 2) + -1. Let f = v + -21\/20. Let x = 9920 + -158805\/16. Calculate the common denominator of f and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266898.8 millennia in months?\nAnswer: 3202785600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 558251 (base 9) to base 3\nAnswer: 121222021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4*h**3 - 1 - 12*h**3 + 30*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -84 + (59 - 69) - -51\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 6*c = 0. Suppose c*a + 2*a - 26 = 0. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 68275*t**2 + 136535*t + 68265.\nAnswer: 5*(t + 1)**2*(t + 13653)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/130 and -33\/4238.\nAnswer: 21190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12109.18 litres to millilitres.\nAnswer: 12109180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*x + 37, -7*s - 26 = -4*x - 5*s. Let v(o) = 2*o**2 - 8*o + 2. Let f be v(x). Factor 12 + 1\/3*d**f - 4*d.\nAnswer: (d - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3 - 3*m**2 + 75*m + 75 = 0. What is m?\nAnswer: -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 211465 = 21*z - 131251. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*k = 32, -3 + 4 = -3*q + 2*k. Let j = 5 + q. Suppose 0 = 4*r + 2*i - 50, 3*r = -i + j + 33. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 7*y**3 + 0*y**3)*(2 + y - 2) - 3*y - 12*y**2 + 12*y**2 + 2*y**4.\nAnswer: 5*y**4 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.078 in 3\/14, -0.009, -5, 14, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - -29. Suppose -161 = -a - h. List the prime factors of a.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 7. Let d be q(-3). Let k = 124 - 123. Solve j + k = d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (4\/6)\/((-4)\/30). Solve -l = 2 + p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6613*v + 6608*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 - 21*k + 39. Let s(j) = -7*j**2 + 42*j - 79. Let t(q) = -3*s(q) - 5*z(q). Calculate the least common multiple of 170 and t(19).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010001 (base 2) to base 9.\nAnswer: -647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24065?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 23 - r + 2*r + 30.\nAnswer: r + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6059870 divided by -1211974\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1337 = 254*v + 187 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001300130303 (base 4) to base 9.\nAnswer: -35382743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41150793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 49 - 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 457, 0, 1 in descending order.\nAnswer: 457, 1, 0, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1772 - 23034\/13. Let o = 18\/25 - 248\/275. Let q be (1 + (-20)\/18)*-2. What is the nearest to 2 in d, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1539) + 0 + sqrt(1539) + (-2*sqrt(1539) - sqrt(1539))) - (1 + sqrt(1539)*2 + (sqrt(1539) - (2*sqrt(1539) + -2))))**2*6.\nAnswer: 1620*sqrt(19) + 230904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -2)\/1 - (-12)\/(-6). Factor 0 + y*g + 1\/3*g**3 - 1\/3*g**2.\nAnswer: g**2*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020 - 122?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3))**(3\/19)\/((q**(1\/3)\/q)\/q)**(-32) assuming q is positive.\nAnswer: q**(-3043\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.4. Let z be (-289)\/153*(-6)\/(-46). Let j = z + -2\/23. Which is the closest to j? (a) 1 (b) f (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**25\/n**(-8\/5) assuming n is positive.\nAnswer: n**(133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017493936 to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/6 + 3*(-7)\/63. What is the second derivative of -51*i**5 + 2*i - 7 - 5 + 257*i**4 - l - 258*i**4 wrt i?\nAnswer: -1020*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d2c (base 16) to base 5.\nAnswer: 332224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**3 - 50*a**2 - 83*a - 10. Determine b(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 3*b - 11 + 23, 0 = -5*b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9935 is divided by 334.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(78) - sqrt(78)*-2)*6 - (sqrt(78) - (sqrt(78) - (sqrt(78) - 1*sqrt(78))))*1))\/(5*sqrt(216)*-2*3))**2.\nAnswer: 52\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.7 and -30494.\nAnswer: -30491.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/81362 and 48\/221.\nAnswer: 1057706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432949857?\nAnswer: 3, 541, 266759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 8*v + 10. Let n be h(6). What is the smallest common multiple of (n - -2)\/(-3 + 2) - -4 and 25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 6 = 5*g - 8, -2*g - 6*g + 5 = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(27\/20) + 2. Let o be 6\/(-4)*(8 - 6). What is the biggest value in w, o, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**3 - r**2 - r + 1. Let s be k(1). Let v = -0.381 + -0.019. Which is the second biggest value? (a) -2\/11 (b) v (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5032 - 3279. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {a: 2, s: 1, w: 1, p: 1, z: 2, m: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -9. Let q = 15 + -11. Let a be 45\/10*q\/3. Solve 2*t = -5*x + 7, 0 = 2*x + d*t - a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132864*d**3 + 265661*d**3 - 132803*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*p + 36, p = 7 - 4. Suppose 20*f = 208 + 272. Calculate the remainder when f is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3872838 to the nearest integer?\nAnswer: 1968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1, 10\/59, 9, -21\/2, 15 in descending order.\nAnswer: 15, 9, 1, 2\/3, 10\/59, -21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**5\/60 - m**4\/4 - 2*m**3\/3 - 3*m**2. Let q be a(-5). Sort -4, q, 0.\nAnswer: -4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241 is divided by 318.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/3 - 53134*a**4\/3 - 70852*a**3 - 318844*a**2\/3 - 212566*a\/3 - 17714 = 0. What is a?\nAnswer: -1, 26571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/((-3960)\/(-2926)) + (13\/(-5) - -3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + z + 385, 0 + 137 = k + 4*z. Is ((k - -1) + 1)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 6*f - 4. Let c be o(4). Suppose -17 = c*x - 1. Let n = 20 + x. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**5 - 5*p**4 - 30*p**3 + 70*p**2 - 55*p + 15.\nAnswer: 5*(p - 1)**4*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -16*w - 242 + 97 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*-2*(-38)\/76.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 47*v - 6228. Determine m(-106).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 20, 22.\nAnswer: 3, 20, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 - 5*f - 2. Let p(z) = -z**2 - z - 1. Let o be -7*(27\/(-7) - -3). Let t be -8*((-21)\/o + 3). Suppose -t*w = w - 5. Calculate w*m(h) - 5*p(h).\nAnswer: h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 102953, 205903, 308853, 411803, 514753?\n\"Answer: 102950*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ssosooooooo.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13970 - 13969.7. What is the smallest value in 118, 0.55, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -128214.\nAnswer: 1\/14246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14027 and 2?\nAnswer: 28054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2236452.\nAnswer: 2, 3, 17, 19, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**3 - 12*d**2 - 29*d**3 + 4*d**2 + 8*d**2 + 17*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 - -75. What is the second derivative of -8 - 42*y**2 - 7*y - 12 + m wrt y?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3477460900*d**2 - 471760*d - 16 = 0.\nAnswer: -2\/29485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 1. What is j(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2411 is divided by 600?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2205\/4 + -536. Let g = -15 + m. What is the nearest to -1\/2 in g, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/15)\/(3\/15). Suppose 6 = k*y - 6. Suppose 15 = 5*r, -5 - y = -u + 4*r. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*d**2 - 53*d**2 + 2395*d + 62*d**2 + 123*d**2 + 845*d**5 - 2397*d wrt d.\nAnswer: 50700*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 18*l - 69. Let r be w(21). What is the hundreds digit of r*(618\/(-12) - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-22 + -41 + 112).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007543159 to 6 decimal places.\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42277 or 41624?\nAnswer: 41624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.374*-4\nAnswer: 1.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + n = -28, -28*l + 33*l = -3*n - 64 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*q - 20, -3*q = -6*q - 3*l + 12. Let x = q - 1. Solve -2*w = -3*w - x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -734784.494 rounded to the nearest 1000?\nAnswer: -735000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 209 - 205. Solve 0 = 4*x + 8, -5*a + 2 = -3*a - j*x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/11 + -12 + 1 + -13*20159\/(-24453)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*u - 16 = 2*t, 0 = -4*t + u + 9. Let j = 10 - t. What is the least common multiple of ((-6)\/4)\/((-8)\/16) and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 6087?\nAnswer: 6087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.3 take away 1.7?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/5)*(k*k*k**(-6))\/k*k)**(-3\/10) assuming k is positive.\nAnswer: k**(63\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l)**(2\/9) assuming l is positive.\nAnswer: l**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40190074 and -2.\nAnswer: -80380148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -29.4, -0.3.\nAnswer: -29.4, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732*c - 2054 = 910*c + 118298 + 12650 for c.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355350979.\nAnswer: 179, 229, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + r = -114509, -2*v + 534*r + 57272 = 530*r. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 4:44 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 6*c - 2. Let i be s(-6). Let o = i - -4. What is the third derivative of 2*t**2 - t**3 - 4*t**3 + 6*t**3 + o*t**3 wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5)*d\/(d*d*d*(d\/d**0)\/d*d*d))**(-25\/4) assuming d is positive.\nAnswer: d**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -456 + 461. Calculate the remainder when 22 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99650 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1951833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.097, -49, -1\/5 in increasing order.\nAnswer: -49, -1\/5, -0.097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 5*h**2 - 5*h + 3. Let u be 0 + (13 - -2)\/3. Suppose u*p + 2 = -18. Is v(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)\/n)**13*(n*(n\/n**(3\/7)*n*n*n)\/n)\/n**(-2\/5) assuming n is positive.\nAnswer: n**(-38\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*o + 42, o = 4*i + 4*o - 225. Find the first derivative of i*u - 5*u**2 + 5 - 54*u wrt u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 704*j*x**3 - 2*j*x**2 + 637*j wrt x.\nAnswer: 4224*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (sqrt(108) + sqrt(108) + -1 + sqrt(108) + 4) - (0 + sqrt(108) + -1)) + -6*(sqrt(108) + sqrt(108) + 0 + -3).\nAnswer: -90*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1459, -1335, -1203, -1063, -915, -759?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:50 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21798, -21767, -21748, -21747, -21770, -21823, -21912?\nAnswer: -22043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*-2*sqrt(2057).\nAnswer: -22*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715 divided by -4?\nAnswer: -1715\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2142 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5\/3 + 131*a**4\/3 + 755*a**3\/3 + 625*a**2\/3 = 0.\nAnswer: -125, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 36*g + 294. Let z be v(-8). Let m be (-2)\/(-6)*(-18)\/(-2). Sort 1, m, z in increasing order.\nAnswer: 1, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x**2 + 3*x - 8. Let v(g) = 15*g**2 - 5*g + 15. Let w(j) = 5*u(j) + 3*v(j). Let k(d) be the first derivative of w(d). Determine k(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110819 is divided by 253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 21*s + 888, -157 = -3*a + 10*s - 14*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by 903?\nAnswer: -20\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 7)*(-9)\/60.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -126 and 57266.2?\nAnswer: 57392.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*s - 3. Suppose -3*x = -2*k - 111, -2*x + 4*k - s*k = -74. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence talf when four letters picked without replacement from pppalaattafplpaal?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p + 93*p**2 - 18*p - 21*p - 31*p**2 + 25*p in the form v*p + h*p**2 + w and give h.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1021 (base 3) to base 16\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4 = b, k - 5*b + 1 = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -474 - -479. Solve 2*y = -2*b - y, -3*b + d*y + 19 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 - 2*r**2 + 2*r + 6. Let x(t) = -t**2 + t. Let z be (-18)\/(-8) + 4\/(-16). Let f(q) = z*x(q) - w(q). Differentiate f(k) with respect to k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (-2*sqrt(684))**2)*2 + sqrt(684) + sqrt(95)\/(sqrt(20)\/(sqrt(36) - sqrt(4))) + -4.\nAnswer: -5476 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-4))\/(30\/40). Let m = 1\/10 - 7\/20. What is the nearest to -0.2 in 1\/2, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (21 - 17) - 6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288086686.\nAnswer: 2, 587, 245389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1193109312 and 6984?\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012405 to 4 decimal places.\nAnswer: -0.0124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 4*a - 3*v - 13, -3*a - 3*v + 9 = 0. Solve 10*i - 15 = 3*c + 11*i, -5 = c - a*i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5\/7 - 30*o**4\/7 + 228*o**3\/7 - 6*o**2\/7 - 801*o\/7 - 540\/7 = 0.\nAnswer: -15, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-10))\/(1\/(-30)). Let t = 15 - s. Suppose -d = -4*o - 10 - 12, -t*o - 19 = -d. Calculate the remainder when 18 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/341 at least 110.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -8252dd?\nAnswer: -8252d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1470)\/315)\/((18\/(-144))\/(6\/(-8)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*2*5 + sqrt(95))\/(sqrt(180)\/sqrt(9)))**2.\nAnswer: 2299\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, -0.4 in descending order.\nAnswer: -0.4, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23137 is divided by 542.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/8 + (-2 - 0). List the prime factors of 27\/1 + 2\/g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlllwqlllllrwlw. What is prob of picking 2 l?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -126 - -119 - (-1 + 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 216*h + 416. What is w(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -5) + (18 - 28) + (2 - 12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 - 2*y + 46. Let s(m) = -5*m**2 - 3*m + 85. Let n(o) = -11*c(o) + 6*s(o). Let j = 3 - 5. Calculate the lowest common multiple of n(j) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105575 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2929.774 grams?\nAnswer: 2.929774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2796 = 4*i - 1804. Suppose i = 13*s + 10*s. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 69 (c) 0.82 (d) -4.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, e: 1, o: 1, f: 1, n: 3}. What is prob of sequence wef?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-3) + 80\/12. Let j be 60\/u*(-2)\/(-3). What is the second derivative of -11*s - 3*s**5 + 2*s**5 + 7*s**j wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7255 > -5629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -59.107075 and -1630?\nAnswer: 1570.892925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 9*g - 3. Suppose 2*l + 2*l - 5*p = -2, -2*l - 4*p + 12 = 0. Suppose -5*t - 25 = a, 5*t - 5 = -l*a + 4*a. List the prime factors of q(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.61 - -19.61. What is the nearest to -4 in -6\/11, 3\/5, v?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*v + 493002 = 3827*v for v.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*m + 150. Suppose 0 = -2*v + 6*v - m. What is the remainder when 44 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*c**2*t**2 - 22651*c**2 - 3*t**3 + t**2 + 5*t wrt t?\nAnswer: -70*c**2*t - 9*t**2 + 2*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p. Suppose 6 = -6*x + 9*x. Suppose 2*k + 2*k - 16 = 0. Suppose b + c = -5, x*c = k*b - 3*c + 2. Let w(y) = -y. Calculate b*l(s) + 4*w(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by ((-78)\/(-6))\/(2 - 3\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 3*z**2 - z. Let y be q(5). Solve 5*b - 20 = d, d - y = -4*d - 4*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -f13e (base 16) to base 13\nAnswer: -22158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.02 - 0.02. Let o = -27 - -25. Which is the nearest to 0.1? (a) q (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 9:44 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Suppose 0 = -12*b + 61 - 1. Suppose c*u - w = 498, 5*u + b*w = -0*w + 1260. What is the greatest common factor of u and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -44, -1, -26?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from {q: 8, m: 5}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 365768470?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21634610 divided by 1\nAnswer: 21634610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 664, 1387, 2110, 2833?\n\"Answer: 723*x - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5001*c**3 - 515*c**2 + 2*c - 2 wrt c?\nAnswer: 30006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 672391 and 255225468?\nAnswer: 4849283892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -24*z + 441. Is 95 a factor of h(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0626874973 to 4 decimal places.\nAnswer: -0.0627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 10:12 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 2*m - 2. Let o be l(-2). Sort 3, -1, o in descending order.\nAnswer: 3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -418297, -418180, -418063?\nAnswer: -417946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -x - 3*o, 0 = 2*o - 4*o + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:11 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29458190 or -29458188?\nAnswer: -29458190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 3*q + 81, 677*q + 687*q - 153 = -5*n + 1368*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16627453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i**3 - 832*i**2 - 30524*i + 168920 = 0. What is i?\nAnswer: -206\/9, 5, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-10*(-7)\/7)\/(24\/8)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/(-15))\/((-42)\/(-105)). Suppose -4*q + 12 = 2*x, -x - 3*x + q = w. Let -50\/7*i**4 - 12\/7*i**3 + 2*i**2 - 4*i**5 + x + 4\/7*i = 0. Calculate i.\nAnswer: -1, -2\/7, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*j - 74. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54) + sqrt(6))*-2)\/(2*sqrt(128) + sqrt(2)).\nAnswer: -8*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*(-28)\/(-49)*28\/100.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1426\/155 + 1\/(-5). Suppose 0*j - j + 4*i + 11 = 0, 4*i = -3*j + 1. Calculate the highest common factor of p and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66246 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 973*d**2 - 88 - 774*d**2 + 13 to f + a*d**2 + v*d and give a.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -5, 7.6, 2\/13, 0.3, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 6. Let c(s) = 1 - s**m + 4*s**2 + 2*s**2 + 1. Let q be 0 + -22 + 30 + -2*1. What is c(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*p + 7917 = 7829 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from goh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -23*b. Let a(i) be the second derivative of i**3\/2 - 149*i - 2. Give l(a(u)).\nAnswer: -69*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -418, 67, 548, 1025, 1498?\nAnswer: 1967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -51*h**3 + 5*h**2 - 63*h - 275. Is c(-4) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 15) to base 2.\nAnswer: 1001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/537?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/195 + 16\/39. Which is smaller: -32 or i?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 74*t**2 + 887*t - 9. Let n be u(-12). Which is the closest to -2\/5? (a) n (b) 2\/5 (c) -2 (d) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 167428190 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409639 != 8819279\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63530 is divided by 63493?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 4209*w**2 + 462000*w + 12848192.\nAnswer: (w + 56)**2*(w + 4097)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 13) to base 9\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 54. Sort -1\/3, t, 3, 1\/27 in ascending order.\nAnswer: t, -1\/3, 1\/27, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/3 and -131\/20154?\nAnswer: 20154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -21, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241.6*7.\nAnswer: 1691.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgxcuuh. Give prob of sequence xhud.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -187*w + 90*w - 24*w**2 - 3*w**4 + 27 + 18*w**3 + 79*w = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19 and 0.319.\nAnswer: 0.06061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aasssssaaaaa. Give prob of picking 3 s.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, l: 3, j: 2}. What is prob of picking 2 j, 1 p, and 1 l?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 2*m + 23. Suppose -3*p - m = -6*p. What is the remainder when p is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2297\/50 - 1161\/25. Let v = 60 + -42. Sort v, -0.4, i, 3.\nAnswer: i, -0.4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 12:10 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i = -45*i + 2*j + 4, -8*i - j = 52 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-72) + (-114)\/(-16). Let m(t) = -t**2 + 8*t - 1. Let j be m(z). Is (-36 + j)\/(1 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/10)\/((-9)\/(-30)). Let o be n\/18 - 748\/36. Let z = 190 - o. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117\/85 or -77705?\nAnswer: -77705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 6)*(-20 - 7*u + 20 + (-2*u + 3*u - 3*u)*(0 + 2 + 0))*(-1 + 2 - 6).\nAnswer: -220*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/148365 or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b - 4*r + 16, 5 = 2*b + r. Let k = b + 3. What is the derivative of -1 + 42*u**2 - 42*u**2 + 0 + k*u**4 wrt u?\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976992.\nAnswer: 2, 3, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2228.1775, -4, 0 in decreasing order.\nAnswer: 2228.1775, 0.3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 242075 - -76?\nAnswer: 242151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 2909983 - 2909983.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 72. Suppose -3*v + 5*r + 50 = -19, 2*v = 2*r + d. Suppose -4*m + 8 = -0. What is the lowest common multiple of m and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-48)\/27)*44\/(-429).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + j = -18, -36*n = -39*n - 2*j + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/704 - 741\/(-5434).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 3*q**2 - 72*q - 315. Let v be c(-5). Let k = -15 + 17. Sort v, -1, k, 92.\nAnswer: v, -1, k, 92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 27*w + 454. Let b be a(-17). Let q(u) = 17*u - 4. Let x(y) = 33*y - 7. What is b*q(k) + 3*x(k)?\nAnswer: 14*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewweeewweeeeeeeeewe. What is prob of picking 3 w?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106.02, 0.3515, 1\/4 in ascending order.\nAnswer: 1\/4, 0.3515, 106.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2912.2 - -2912. Which is the nearest to 0.1? (a) -12 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 10. What is the remainder when 5\/(45\/12) + (-22125)\/(-531) is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5.7 (b) 3\/8 (c) 2\/11 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -4 (c) 56\/4805 (d) -2 (e) 1 (f) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1357304768 to five dps.\nAnswer: 0.13573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1924114543 to the nearest integer?\nAnswer: 43865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 8*m + 2. Let k be a(-8). Let j = k + 4. Is (4 - 2)\/(4\/j) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 12:57 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = t - 2611, -19*v - 3*t = -17*v - 5223. What are the prime factors of v?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 13. Suppose l + 4*g - 35 = 16, v*g = 2*l - 37. What is the remainder when l is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1097\/7 - -157. Which is the closest to w? (a) -5 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2643648066.5 + 386.\nAnswer: -2643647680.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14434 = 5*r - 2*v, 0 = -10*r + 13*r + v + 8656. Is -2885 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 2 + -29*6\/36. Put d, 29, -4\/3 in decreasing order.\nAnswer: 29, d, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5856.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 145 - -4?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 652183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 83, 3\/8, -23, 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 21\/(-12) - (-3)\/4. Let u be (-8)\/(5\/z + (-6)\/(-12)). Solve -13 - 7 = u*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11 + 10*x + 4 + 17 + 8*x**2. Let s be w(-4). What is the highest common factor of s and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162611 is divided by 670?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 545438963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4257 and 19107.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2843 divide 281516703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 134 and -0.149855?\nAnswer: 134.149855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/1*((-3038)\/784 - (-1)\/8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.13 - -5.13. Suppose 2*f + 2 = -4*k, 0 = -4*k - 5 + 17. Let c = 3 + f. What is the nearest to n in 0.3, 4, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 3 - 4\/(-1). Suppose -v*x + 135 = -4*x. Suppose 4*p + 0*z - 75 = -3*z, -4*z - 10 = -2*p. What is the highest common divisor of p and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2514 and -2919.732313.\nAnswer: -405.732313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 - q**3 - q**3 + 2*q**3 + 17 - 17 + (-q + q - q)*(q**2 - q**2 - 2*q**2).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 42 - (26 + -20)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 213.087 and 1.9?\nAnswer: 211.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.3485 to the nearest integer.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1093561?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000782506731 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.92 + 1.62. Suppose -29*s - 27 = 118. Which is the third smallest value? (a) s (b) o (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4814*d + 193499 = -697*d for d.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 2\/15, 11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 976535997 to the power of 1\/2, to the nearest integer?\nAnswer: 31250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 194914 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 zhzh when four letters picked without replacement from {z: 2, h: 2, a: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -5, -4, -168 in decreasing order.\nAnswer: 53, -4, -5, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 15*i**2. Let o(q) = 106274*q. Calculate h(o(p)).\nAnswer: 169412446140*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 290212543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13130, -26638, -40146, -53654, -67162, -80670?\n\"Answer: -13508*d + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 5*x**2 + 7*x + 5. Let r be (3*(-9)\/6)\/(3\/4). Determine v(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 4\/5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2. Let f = -578 - -578. Let z(b) be the third derivative of 0*b + 0 - 5*b**2 + f*b**3 - 17\/24*b**4. What is v(z(o))?\nAnswer: -578*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 4. Let x(y) = y - 1. Let v(s) = a(s) + 4*x(s). List the prime factors of v(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*s + 5. Suppose 0 = s*l - 3*a - 1218, 55*l = 50*l + 3*a + 2024. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6092322 and 1580919?\nAnswer: 249785202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193809, 194246, 194683, 195120?\nAnswer: 195557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 2. Let a be d(-4). Let k = -7 - a. Let z = -40 + 48. Solve k*o = o - z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78696779911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = 23*w - 6*w - 257985. What are the prime factors of w?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1872) + sqrt(1872) + -5)**2.\nAnswer: -144*sqrt(13) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**2 - 2823130*j - 398503149845 = 0.\nAnswer: -282313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 4. Let v be c(10). Let q be 0 + 2 - (0 + -11). Let t = q + v. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from tzluzln.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 7 - (-11 + 3 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149082 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 11. Let f(l) = 95. Let s(y) = 8. Let r(q) = 3*f(q) - 35*s(q). Determine 2*j(v) - 5*r(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**6\/10 + w**4\/8 - 7*w**3\/2 - 122*w**2 + 1. What is the second derivative of p(f) wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 14. What is the units digit of (-4 + 4)\/b - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/6 and (-4716621)\/9416004 - 2\/(-4)?\nAnswer: 55716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slop when four letters picked without replacement from {p: 4, v: 1, h: 1, s: 2, l: 1, o: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -89*6\/(-30) + 1\/5. Suppose 74*v + z = 76*v. What is the remainder when 30 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -7 - ((26 - 21) + -5) - -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (14\/56)\/((-6)\/16)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6*-1*(-6)\/(-6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-1 - sqrt(130))*3)\/(-3*sqrt(10)*1) - (2 + 2 + 0 + sqrt(468) + 0 + sqrt(468))**2.\nAnswer: -1888 - 94*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 27*y + 30 = 0. Let i(a) = a**2 + 4*a - 4. Determine i(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11406 is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) -386 (c) -2\/15 (d) -0.1 (e) -16 (f) -1\/386\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-24)*8\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6112.4497 + 0.0376\nAnswer: 6112.4873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-9)*(-1)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*t**5 - 95*t**2?\nAnswer: 3480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 4*x + p, -x - 25*p + 20*p + 42 = 0. Let i be (-6)\/(-16)*-2*-4. Let f be i*1*x\/12. Calculate the greatest common divisor of 32 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 576 = -49*r. Solve -7*s - 2 = r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2865200 and 71\/2400.\nAnswer: 17191200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**4\/6 - 2*v - 88. Let o(d) = -4*d + 13 + 2 - 14. Give o(q(b)).\nAnswer: -8*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -7*k - 25, -5*k = -2*k - 15. Solve 0 = u - x + 6, -3*u = 4*x - x + y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 1, n: 1}. Give prob of sequence zn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -5, -3, -2, -1\/2.\nAnswer: -5, -3, -2, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7337468839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98422 + -64883. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3. Let z be (-24)\/(-30) - 5110\/5950. Is i smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -241*t**2 - 15*t + 2*t + 13*t to the form y + n*t**2 + l*t and give n.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -0.19258.\nAnswer: -0.39258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5289840 by -5.\nAnswer: -1057968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 200*a**2 + 2288*a - 6015. What is u(188)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 + 2 - 23) + (1 - -1) + 6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -356160851 by 2.\nAnswer: -356160851\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 3, p: 12}. Give prob of picking 2 d and 1 p.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r**3 - 40*r**2 - 10*r - 5. Let u = 283 - 288. Let c(q) = 2*q**3 + q**2 - 1. Let x(d) = u*c(d) + b(d). Factor x(j).\nAnswer: -5*j*(j + 2)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19023000 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: a10a9 (base 14) to base 8\nAnswer: 1363755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -151 in decreasing order.\nAnswer: 6, 3, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35196961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2387 >= -2418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20160057.\nAnswer: 3, 397, 16927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 86, 80, 82, 98, 134, 196?\n\"Answer: y**3 - 2*y**2 - 7*y + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -5)*(2 + 3). Suppose 0*z = -m*z + 15. Solve 2*l = -z - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = -3*b + 7775. What are the prime factors of b?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2676296030 rounded to the nearest one hundred thousand?\nAnswer: -2676300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(9 - 38 - 22)*(20 - 20 - 2*i).\nAnswer: 204*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + 2. Suppose r = 3*r - t. What is the third derivative of 4*l**r - l**2 - l**6 + l**6 wrt l?\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2345 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 130 - 556 = 1714. Solve 14*r = 44*r + x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x\/(x**(-3)\/x)))\/x)**(-47)*((x\/x**(-14))\/x)\/x*((x\/(x*x**12*x))\/x)\/x assuming x is positive.\nAnswer: x**186","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13011689974 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 663 - 654. Is (56\/24)\/7 - (-138768)\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/7)\/((-2)\/(-28)). Suppose 4*j + j - 2*f = 200, -d*j - f = -147. Suppose 484 = -34*r + j*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -3, 2\/5, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 12*z - 125328 = 0. What are the prime factors of z\/30 - (-36)\/(-270)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 101*d**2 - 25*d + 53. Is y(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 28671?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 865001102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2112507*o**2*p - 103*p + 4580 wrt o.\nAnswer: -4225014*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*a + 4*p, 4*p - 35 = -4*a - 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(70))\/(-6*sqrt(90) + sqrt(10)).\nAnswer: -6*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {s: 4, k: 11, f: 4}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 205781 at least 205783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3512*r**3 - 30*r**2 - 8358*r + 171 wrt r.\nAnswer: 21072*r - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 = -f, 0 = 6*f - 2*f - 5*h + 5. Let z be f*(0 - 3\/6). Suppose z*p = 2*p + 164. What is p rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a day in minutes?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 128 = 3*d - 5*d, 2*d - 133 = 3*m. List the prime factors of d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(84)*5)\/(sqrt(84)\/(3*sqrt(7))))**2 + ((-1 + sqrt(343) + 3 + 4)*3)**2.\nAnswer: 756*sqrt(7) + 9711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*-13*(-3)\/234)\/((-2)\/(-111)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 - -74. Let o(x) = 6 + 5*x + x**2 + 2 - 2. Let f be o(-4). Solve l = -m - f*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6267060131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 21*b**2 + b + 2. Calculate the smallest common multiple of 42 and v(-1).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5122 + 5136. What is the remainder when 1327 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 785, 781, 775, 767, 757, 745, 731?\n\"Answer: -c**2 - c + 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 9:33 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-20)\/3974) + 114\/(-190). Let u = g - -400. Solve 2*k + 8 = -0*k - u*s, 0 = -k + 3*s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891278 is divided by 121.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = k - 3, 17*k - 20*k = -9. Let o = 4 + -3. Put l, o, -21, -2 in descending order.\nAnswer: o, l, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115173 equal to 115175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94359*q**3*s*v**3 - 2121*q**3 + q**2*s*v**3 - 7257*q**2*s + 2084*q**2 + q*s*v**3 - q*s*v + 9 wrt q?\nAnswer: -566154*s*v**3 - 12726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/5)*i**(1\/19))\/((i*i**(1\/4)\/i)\/(i*i*i\/(i\/i**18)*i)) assuming i is positive.\nAnswer: i**(8209\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 371 + 91. What is the greatest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c + 2. Let i(a) = -39*a - 14. Let p(r) = i(r) + 8*s(r). Suppose f = -0*f - 3*f. What is p(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 654975\/175 - ((-16)\/7 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkko when four letters picked without replacement from {r: 1, k: 6, o: 3, q: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 339 divided by 113\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104016768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Suppose -2*p = p - r. Let o = p - 0. Is 1 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 5:20 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**(-13)*(i\/(i*(i*(i\/(((i\/i**(-1\/13))\/i)\/i)*i)\/i*i)\/i))\/i*i**17 assuming i is positive.\nAnswer: i**(848\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v + 35874 = 182591. Calculate the remainder when v is divided by 910.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/96 and -1\/8?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 h when four letters picked without replacement from {g: 8, h: 5}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 40*a + 23\/2*a**2 + 39 + 2\/3*a**3. What is the hundreds digit of q(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 = 0, 2*b + 3*b = 4*q - 31. Suppose 0 = q*o - 232 - 648. Suppose 175 + o = 5*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -51 (b) -2 (c) 5 (d) 2\/5 (e) -12568\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-180))\/((-2)\/5). Which is the closest to -1\/4? (a) w (b) 7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 152*x + 1462. What is a(-10)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2 + 192*l = 0.\nAnswer: 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/(h*h\/h**18)))**(-11)*(h\/h**(-37))**(24\/5) assuming h is positive.\nAnswer: h**(1847\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x - 24*x - 20 = 0. Suppose x*u + 20632 = 6*u. Is 4\/(-8)*u\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4574, -8892, -12954, -16760?\nAnswer: -20310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/235 + 692\/8695. Let j = s - 80\/111. Which is the biggest value? (a) 5 (b) j (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 749, 1503, 2265, 3035?\nAnswer: 3813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 286485093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from {s: 1, y: 1, f: 1, d: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*4\/(-8)*154\/28. Suppose -4*v - 21 = -5*i, -u*v + 15 = -6*v + 2*i. Which is greater: v or 3\/229?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12045*s**2 - 35682*s**2 - s**3 + 11764*s**2 + 11873*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 - 127 + 12*n - 10*n + 152 to the form a + m*n**3 + p*n + v*n**2 and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + 2 - (sqrt(5) + (1*sqrt(180))**2).\nAnswer: -178 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2777*l + l**2 - 940*l + 458*l - 2.\nAnswer: l**2 + 2295*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(77) - sqrt(77)) - sqrt(77))\/(sqrt(176)*5) + 4 + (1 + sqrt(28)*3 - (0 + (-1*sqrt(112) - sqrt(112))**2)).\nAnswer: -443 + 131*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14218*c**3*y**2 + 15544531*c**3 - 54*c*y + 2*y**2 wrt y?\nAnswer: 28436*c**3*y - 54*c + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 93688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1523761 + 53?\nAnswer: 1523824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.967 to one decimal place.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 + m**2 - 3*m**2. Let q(f) = 7*f**2 + 2*f**2 - 8*f**2. Give t(q(w)).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39 - -1d55?\nAnswer: 1d8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -5 + 1\/3*q**2 + 2\/9*q**3 - 4\/3*q. Suppose k(v) = 0. What is v?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:31 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4 = z + 20, 0 = 3*g + 5*z + 11. Let s be 5 - -2*3\/(2 + -5). Solve -g*d + 2*i = 6, -s*d - 10 = 2*d - i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289878?\nAnswer: 2, 3, 48313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6 - 8 - -3) + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 2*m + 7\/3*m**3 - 1\/4*m**4 + 1 - 5\/2*m**2. Is u(6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 0, -4, 4, -1 in increasing order.\nAnswer: -4, -1, 0, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 140799 and 140799 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96816 or 96821?\nAnswer: 96816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*j*u**3 - 2*j*u**2 - 4*j - 10*u**4 + 14 wrt u?\nAnswer: -12*j*u**2 - 4*j*u - 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 782, 6389, 21608, 51245, 100106, 172997?\n\"Answer: 801*a**3 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 392.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28058 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 8*h**2 + h - 6. Let b be x(8). Let q(k) = 5 + 7*k - 3*k**2 - 2*k**2 + 5*k**2 + k**b. Give q(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-756)\/(-81))\/(-7))\/((-32)\/36).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/30)\/(1106\/1580)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5161*h**3 + 15368*h**3 - 5225*h**3 - 4986*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 35*h**4 + 1380*h**3 + 4345*h**2 + 840*h - 2160 = 0.\nAnswer: -36, -3, -1, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - -36. Suppose 2*c - 144 = 5*v + s, 567 = 5*c - 4*v. Let h = -41 - -69. What is the remainder when c is divided by h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/((-12)\/(-14))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 4*o + 84. Suppose 38*a - 270 = o*a. Is -53 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -29083316\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 3*v**2 - 11*v + 2. Suppose 0 = 2*x - w - 15, 5*w = -4*x + 10 + 13. Let k be s(x). Let z = k + 1198. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -450105 - -4312?\nAnswer: -442463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2. Let z be (-7)\/(-3) - 11\/33. Let k(r) = -9*r**z - 3*r - 3*r + 6*r. Give k(u(q)).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - 2*g + 3*g + 4 - 4 - g + 0*g + 3*g - 2*g + (2 + 0 - 4)*(-g - g + 4*g) - g - 5*g + 4*g + 4*g - 3*g - 2*g)*(-4 + 9 + 0).\nAnswer: -55*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 107*y - 665*y + 10. Suppose y - 2\/5*v**3 - 2*v**2 - 12\/5*v = 0. What is v?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -0.07, 5\/6, 3\/5, 0, -13.3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**4 + 0*y**4 + 5*y**4)*(-y + 5*y - 2*y) + y**5 + 2 - 2 + 14*y**5 + 2 - 3*y**5 - 3.\nAnswer: 14*y**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -74, -51, -20?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 22. Let x(v) = -v**2. Give x(p(c)).\nAnswer: -c**2 - 44*c - 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85478959.\nAnswer: 71, 1203929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 12*x + 7*x**3 - 5*x.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14026 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4 + 5*z + 3*z**2 - 9*z**2 + z**3 + 2. Let a(b) = b**2 - 6*b - 11. Let u be a(8). Suppose 30 = 5*x + u. Determine n(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**6 - 6*u**5 + 6*u**4 - 6*u**3 + 9*u**2. Let d(w) = -w**6 - w**5 + w**4 - w**3. Let g(c) = -6*d(c) + s(c). Find the third derivative of g(o) wrt o.\nAnswer: 600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8072, -8090, -8106, -8120?\nAnswer: -8132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11925, -48127, -108607, -193365, -302401?\nAnswer: -435715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i + 6\/5*i**5 - 10\/21*i**7 + 0*i**2 - 26\/15*i**6 + 20\/3*i**4 + 0 - 16\/3*i**3. Find v, given that o(v) = 0.\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 0.0277652.\nAnswer: -0.000832956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*t + 728, 4*t = -t - 20. Calculate the greatest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/(10\/(-15)). Let u be (-4 - (-5 - -2))*z. Let w be u + 0 - (-15 + -1). Solve -8 - w = 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1 = c, c = -3*c + 2*f + 4. Let k be (-7)\/(c + -5 + 3). Is k <= 23\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4567.\nAnswer: 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 851*i**2 + 1 - 580*i**2 - 4 in the form l*i**2 + a + j*i and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -91? (a) 1\/5 (b) -6 (c) -0.2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**2 + 29*y**2 - 19*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*y - 151, 0 = -5*o - 0*y + y + 685. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 + 6 - 10 + 4.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2538224627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**3 + 2*h**2 - 2*h + 10. Let w(i) = -2*i**3 + 3*i**2 - 3*i + 11. Let g(x) = 3*s(x) - 2*w(x). Find the first derivative of g(r) wrt r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6804, -14151, -21498, -28845?\nAnswer: -36192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**5\/9 + 1183*z**4\/9 + 112519*z**3\/3 - 2064551*z**2\/9 + 1045954*z\/9 + 1148960\/3 = 0.\nAnswer: -688, -501, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10970, 21941, 32912?\n\"Answer: 10971*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60 in 5, -1, -2\/205, -3, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(sqrt(17) - sqrt(425)) + -5.\nAnswer: -20*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 12:59 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 465*v - 1775*v + 472*v + 469*v + 441*v. What is u(1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from nnqnnnqqqwqnnqnwn.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 149*c**2\/5 - 29202*c\/5 - 392\/5 = 0.\nAnswer: -2\/149, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 9*c**2 + 11*c + 13. Let p be k(-10). Factor -4*z**2 + 2*z**p + 0*z**2 + z**4 + 5*z**2.\nAnswer: z**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 40\/(-56)*(105\/(-25) + 1). Find x such that -18\/7*x**3 - 92\/7*x - 94\/7*x**2 - h = 0.\nAnswer: -4, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 16*x**2 + 40*x + 63. What is the remainder when 6948 is divided by k(-2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 124*l - 69. Let a(i) = 39*i - 22. Give 7*a(p) - 2*o(p).\nAnswer: 25*p - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -23 - 4. Suppose t = -f*t + 46324. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5962 * -0.1.\nAnswer: -596.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193, 410, 661, 958, 1313?\nAnswer: 1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 76 = 799. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -11\/4*a**4 + 0*a**5 + 0*a - 7\/60*a**6 + 87*a**2 + 0*a**3 + 0. Find the second derivative of m(i) wrt i.\nAnswer: -84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 4:27 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f**2 + 53*f**2 + 8*f**2.\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -23*r - 825. Calculate z(-36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165) - -3*sqrt(165))\/sqrt(3) - sqrt(55))\/((sqrt(154)\/sqrt(7))\/sqrt(2)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(2) + sqrt(50)*-2 + sqrt(2)*-1*-4)**2 - (sqrt(14)\/sqrt(7) + -5 - (sqrt(100)\/sqrt(10))\/sqrt(5))).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y - 3. Let k(f) = 11*f + 7. Let x(v) = 2*k(v) + 5*m(v). Let o be x(1). What is the tens digit of o - -3 - (-10 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -778*z - 10705261 = -2046555 - 77616736. What is the ten thousands digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 49*a**2. Let f(c) = 25*c. Calculate x(f(o)).\nAnswer: 30625*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y, -6 + 0 = 4*x - 2*y. Let k(s) = -s - 3. Determine k(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 11) in base 2?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c. Let g(o) = 11*o. Let q(j) = 6*g(j) - 13*y(j). Let d(n) be the first derivative of 3*n**2\/2 - 4. Calculate d(q(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016721694 rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*p + 7 = 0, 6 + 14 = 2*d - 5*p. What is the remainder when 23 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -438626?\nAnswer: -438628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 30*p - 893. Give f(30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 211087, -1 in descending order.\nAnswer: 211087, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -21. Suppose 5*k + 3*g - 50 = 0, g - 40 = -5*k - u*g. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15821 or 462.3?\nAnswer: 462.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25662\/3290 - (-9)\/(-1))\/(63\/20 - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52035 or -52078?\nAnswer: -52035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/11 + 200*p\/11 + 4992\/11.\nAnswer: 2*(p + 48)*(p + 52)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/12 + 5*w - 8. Let d(p) = -2*p**2 - 8*p**2 + 2*p**2 - 3*p**2. Calculate d(l(i)).\nAnswer: -11*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, p: 6, x: 1, a: 1, i: 3}. What is prob of picking 1 q, 1 a, 1 i, and 1 x?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4034?\nAnswer: 2, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325 divided by 5.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.5415 + 0.5365. Let g = 26 + a. Let w = 0.425 + g. Round w to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 68 = 3*s + 135, 8*h = 5*s - 68 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 8. Let o be (1806\/(-36))\/7 + (-1)\/(-6). What is the lowest common multiple of j(-6) and (-4)\/(-7) + o\/((-147)\/198)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -182, -358, -604, -920?\nAnswer: -1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 655141304 to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -956.\nAnswer: -957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -591*y**2 + 2*y + 111.\nAnswer: -1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 31*r**4\/3 + r**3\/3 + r**2\/2 + 8*r. Is h(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.71556 litres in millilitres?\nAnswer: 3715.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -838*v**4 + 4 - 3*v**3 - 2 + 2*v**2 + 830*v**4 + 2*v**3 as r*v + j + s*v**4 + q*v**2 + i*v**3 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n - 1. Let u be w(1). Suppose -2*j + 49 = -z, 45 = u*j + 3*z - 0*z. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, h: 5, b: 3, p: 1}. What is prob of sequence rhpb?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 6*y + 7. Suppose 12 = 2*l - 3*j - 22, 5*l + 2*j = 47. Let k(d) = 4*d**2 + 11*d + 13. Determine l*b(o) - 6*k(o).\nAnswer: -2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10274*r - 1873*r - 50*r.\nAnswer: -12197*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72838?\nAnswer: 2, 79, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 21 - (-2 - 0) - (-64 + 59)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233825 + 233828 + 45*i**2 - 467653.\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((-3)\/60*-4)*34073\/(-136292)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -10. Solve 2*m**4 + o*m**3 + 3*m**3 + 2*m**2 - m**3 - 4*m**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-12))\/(2\/(-12)*2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - a**3)*(-1 - 7 + 0) + 31 - 29*a**3 - 31.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + i**2 + i + 1. Let y be (-2 - -1)*22*-1. Let x = y - 21. Let n(k) = -k**3 - 4*k**2 - 2*k - 2. Give x*n(s) + 2*l(s).\nAnswer: s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 931 divided by -42.\nAnswer: -133\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2994*3.\nAnswer: -8982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162376227.\nAnswer: 3, 13, 853, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j + 13*j + 7*j to the form u*j + k and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 8180 - 8140 - 5*q - 2*q - q in the form b*q + i and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*f + 5. Suppose -f*t + 4 = 5*m, -t + 2*m - 2 = -4. Find the second derivative of 1 + l**3 + t*l - 1 wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4\/13 - 29028*w**3\/13 + 58050*w**2\/13 - 29024*w\/13 = 0.\nAnswer: 0, 1, 14512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r - 3*r - 2*r)*(-3 + 1 + 1) + ((3 + 0 - 5)*(r + 2*r - 2*r) + 2*r - 3*r + 0*r)*(-4 + 5 - 2).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3267597ug to kilograms.\nAnswer: 0.0000000003267597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g*j**3 + 2542*g*j**2 + 95*j**3 - 36*j**2 + 3*j wrt g.\nAnswer: 2*j**3 + 2542*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 888780 divided by 88878.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592369102?\nAnswer: 2, 13, 263, 86629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n - 46. Calculate l(0).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.09 - 0.09. Let k be 13 + -4 + (-336)\/30 - (-4 + 2). What is the nearest to -0.1 in -45, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 1\/10*m**6 + 0*m**2 + 0*m**5 - 4*m + 0 + 1\/6*m**4 + 0*m**3. Find the third derivative of h(g) wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(108)\/sqrt(6) - (-2 + 2*sqrt(2))) + sqrt(200) + sqrt(200) + 2))**2 + 5.\nAnswer: 4200*sqrt(2) + 22455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14531 and 25338101?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w - 5*x - 462 = 0, 2*x = 3*w + 712. Let t = w - -3301\/14. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 + 167 = -162*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198293260?\nAnswer: 2, 5, 11, 901333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 838995 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3255 (base 6) to base 14\nAnswer: -3bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s + 15*s - 20 = 4*y, -y = -4*s - 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 19 - 74)*(2*p + 0*p + p)*(-4 + 3 - 1).\nAnswer: 132*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40921?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*o + 14, -4*s + o = 4*o - 14. Suppose i + 11 = s*i. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 11*q**2 + 361*q - 70. Let l be p(-33). Which is the smallest value? (a) -15 (b) l (c) 1\/3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 3*k**2 - 17*k - 52. Give p(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**4 + p**4 - p**4 + (0*p**3 + 0*p**3 + 3*p**3)*(-2*p + 2 - 2) + (p + 2*p**2 - p)*(2*p**2 + 1 - 1) as m*p**4 + f*p + k + h*p**2 + r*p**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 5528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l. Let z(b) be the second derivative of 0 - 1\/3*b**3 + 0*b**2 + 115*b. Calculate o(z(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -0.4 (c) -3\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -14. Let t = p + 4. Let g(w) = 10*w - 3. Does 9 divide g(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2673 + -1201. Calculate the highest common divisor of 644 and u.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10*h + 321. Calculate the remainder when 152 is divided by d(25).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*z**2 + 856283*z + 72*z**2 - 856283*z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -1 - 5. Suppose 4*c - 26 = u*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119.93*293.4\nAnswer: -35187.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 253045566 to the power of 1\/3, to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 108, 0 in decreasing order.\nAnswer: 108, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3923259928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 bigger than -1347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.16 - -0.16. Let n = 6 - 11. Sort b, 2, n, -4 in descending order.\nAnswer: 2, b, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2091512, 4183001, 6274490, 8365979?\nAnswer: 10457468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 + 0.23. Let u = 20647 - 20654. What is the smallest value in u, g, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011100101000 (base 2) to base 4.\nAnswer: -2130220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32485879 is divided by 72?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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 d = 364679.3 - 364678.02096676. Let r = d - 163.27874624. Let f = r + 162. What is f rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*i + 529585 = -17*i - 29785. Calculate the greatest common factor of 244 and i.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**8\/1848 + 8*r**7\/1155 - r**6\/165 - 29*r**5\/165 + 5*r**4\/132 + 50*r**3\/33 - 13*r**2. What is b in h(b) = 0?\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.08 - -12.08. Let x = c - 4. Let k = x - 10. Put k, -1, -4 in descending order.\nAnswer: -1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o**4 + 16*o**4 - 5*o**4 + (3*o**3 - 197 + 197)*(0*o + 3*o + 0*o) to the form u*o**2 + r*o**4 + f + w*o**3 + c*o and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-3000034.\nAnswer: 60000.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 - 146. Find the second derivative of -11*a**3 + 5*a**3 + 8*a**3 + 13*a + 2*a**4 + y*a wrt a.\nAnswer: 24*a**2 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**2 - 4*i**2 + 7*i**2. Let k(b) be the third derivative of 12*b**2 + 0*b**3 + 1\/8*b**4 + 0*b + 0. What is k(a(o))?\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10125 + 973*i - 10125 - 176*i.\nAnswer: 797*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jljiiiijrirrjji. What is prob of picking 1 l and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*p + 20*p = -153. Let s(b) = 6*b**2 - 7*b - 5. Let l be s(6). Let v = l - 88. What is the highest common divisor of p and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214121 (base 6) to base 15.\nAnswer: -53e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t**3 - 52 + 31 + 21 + 57*t**3.\nAnswer: 73*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 + 7*n**2 - 12*n + 1. Does 8 divide d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54\/5 or 1346\/3?\nAnswer: -54\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 434*f*j**4 - 3*f*j**2 - 497848*f*j + 7734*j**4 wrt j.\nAnswer: 10416*f*j + 185616*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2. Let g(n) = 2*n**2 - 984*n + 1329. Determine g(f(w)).\nAnswer: 32*w**4 + 3936*w**2 + 1329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**5\/60 - d**2 + 10*d. Let f(w) = 1742*w**2. Calculate f(u(j)).\nAnswer: 1742*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 197?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 56*z + 281 = 1. Solve 4*m - z*m = -5*t - 12, 5*m + 3 = 4*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 994?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 2, u: 1, y: 1, w: 2, p: 1}. What is prob of picking 1 u, 1 p, and 1 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(209) - sqrt(209)*-2))\/(sqrt(66)\/sqrt(24) + sqrt(11)))**2 - (3*sqrt(931)*2 - (-2*sqrt(209))\/sqrt(11)*2).\nAnswer: -46*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**2\/2 - 6. Let a(t) = 2*t**2 - 1. Determine a(y) - m(y).\nAnswer: 2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in -0.2, 0.7, 4, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 7*y + 2. Let a(q) = 2*q - 2. Let g(b) = 4*b - 3*b - 2 + b. Calculate y*a(x) - 3*g(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-124)\/93)\/((-42)\/(-9)). Let a = -6.6 + 7. Let k be (-132)\/(-210) + (-2)\/10. What is the nearest to 3 in k, a, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -968 - -967.9058. Round q to three dps.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/10 - (-2)\/1. Let u be (-5 + 4 + 2)\/h. Solve 2*y - 5*y - o - 1 = 0, -5*y = -o - u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 11:43 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 8 (b) -2\/7 (c) 4\/3 (d) -2\/139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -953631305 minus 0.033337?\nAnswer: -953631305.033337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -4. Let r be (-15)\/5*(-8)\/3. Let c = r + z. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -13, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 - 12 = -4*a, -3*a + 12 = v. Solve 4*q - 8 + v = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfr when three letters picked without replacement from ffufururuu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 302015053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77142*t + 22356 wrt t.\nAnswer: 77142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 - 1. Let r = 7 - 12. Let u(z) = 34*z**2 - 24*z**2 - 19*z**2 + 2. Give r*h(x) - 2*u(x).\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 12:34 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*32\/(-56)*(-98)\/(-28)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*c + 71*c - 12*c + 91*c + 11*c**3 wrt c.\nAnswer: 66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2333 or 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.046, 14\/37, -4?\nAnswer: 14\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -709 + 716. Calculate the remainder when 11 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*b = -14, 5*b - 19 = 3*p - 2*p. Suppose 5*i + p*a - 700 = 9*a, -3*i + 420 = a. Suppose 8*y - i = 4*y - 4*n, 4*y = n + 165. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77500 is divided by 1409.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -21*q**2 - 168*q + 217. Give d(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*f + 6 = 0, 0 = 3*w - 0*w - 4*f - 31. Suppose -l + 11 = x - 14, 135 = w*l + 3*x. What is the remainder when l is divided by -1 + 3\/3 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - 1 + 1)*(-3*g + 17*g - 5*g + g + 2*g - 5*g + (2*g + g - 5*g)*(2 + 3 - 4) - 3*g + 2*g + 0*g) to z*g**2 + t + d*g and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 19.7, 0.1, 0, -1 in descending order.\nAnswer: 19.7, 0.1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/8232 and 65\/11319.\nAnswer: 90552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -613 or 306?\nAnswer: -613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + t - 1050 = -0*h, -2*h + 2085 = -3*t. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from lmmf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141826 is divided by 159?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t. Let a = -403 - -886. Let m(p) = -a + 241 - 43*p + 242. What is m(l(z))?\nAnswer: 43*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*q + 3*q - q)*(q + 1 - 1) + 3*q**2 - q**2 - q**2)*(204*q**2 + 387*q**2 + 104*q**2).\nAnswer: -695*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-78)*(-7)\/98.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 2118, 2 in descending order.\nAnswer: 2118, 20, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.6 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2 (c) -2\/3 (d) -6\/11 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47077919 - 3932*i**3 + 3462*i**2 - 47077919 wrt i.\nAnswer: -23592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17.423 and 4.\nAnswer: 69.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2*6\/(-9)))\/(1050\/140)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 382 - 382.4. Are 3 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.86447 or -7\/5?\nAnswer: 0.86447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + ((-24)\/(-54))\/(7\/(-42))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 - (-10)\/(-3). Let o be (w - -4) + 4*1. Solve 2*m - o*m = 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 55184?\nAnswer: 55182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - t. Let v be -7*3\/(9\/3). Let a be (3 + v)*(-2)\/(-4). Let o be i(a). What is the highest common factor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b**2 - 6*b + 45. Let q(k) = k**2 + 13*k - 120. Let i be q(6). Let p be z(i). What is the greatest common divisor of 74 and p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6644101979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(27\/((-11988)\/24))*3\/(-3)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2222634.15 to the nearest one thousand.\nAnswer: 2223000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -119*((-1134)\/98 + 10). What is the greatest common divisor of 595 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*p**3 - 313*c**3*p + 235*c*p**6 - p**2 wrt p.\nAnswer: 6*c**3 + 28200*c*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1. Let i(s) = 2. Let c(a) = 7*d(a) + 3*i(a). Suppose 20*m = -28 - 12. Let h(n) = -n - 1. What is m*h(l) + 2*c(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -33096.\nAnswer: 33096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**0)**(-2)\/(g**6*(g*g*g**(-8\/3))\/g) assuming g is positive.\nAnswer: g**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 234 = 36. Let f = -27 - c. Suppose -x = 5*r - 4439, f*r - x - 2551 = 106. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-450)*-5)\/(112\/(-10) + 10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**3\/8 + 9*y**2\/4 + 15*y\/8 - 9\/2 = 0 for y.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005063880261 rounded to 5 decimal places?\nAnswer: -0.00506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c01 + 5b?\nAnswer: 1c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*a + 4*a + 300. Solve a*y - 2*q + 27 = 0, 2*y - 2*q - 2*q + 14 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50.6 + 44.8. Let n be 2\/(-10)*(-20)\/(-8). Sort -2, l, n.\nAnswer: l, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 1) + 0 + 29. Is 16 a factor of -2 + -2 + f + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1 + 0 + 2 + f. Let w(s) = -5*s - 2. Let g(d) = 4*j(d) + 2*w(d). Let x(h) = -h**2. Give x(g(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)*f**6\/f)**(-2\/19) assuming f is positive.\nAnswer: f**(-2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000063202 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/344812 and 95\/144.\nAnswer: 12413232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w + 2. Let f(p) be the first derivative of p**2\/2 - 22. Give 5*f(s) + g(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*o = 5*h + 12, 0 = -h + 4*o + 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = -26*i + 304. Let m be (-2)\/4 + 0*i\/(-16). Suppose 1 + 14 = -5*u. Sort 0.9, m, 4\/3, u in descending order.\nAnswer: 4\/3, 0.9, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-29 + (24 - 16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -1\/210*d**5 + 8\/21*d**3 + 1\/42*d**4 + 0*d - 11*d**2 + 3. Find r such that t(r) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -845 + 1486. Let f be d\/9 + (-2)\/9. Let t = f + 6. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156398, 156401, 156404?\nAnswer: 156407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 108 = -2*a, -2*i + 24 = 3*a + a. Let j be (30\/i)\/((-2)\/28). Let r = j - -51. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + -25. Let k = 39 + p. Let s(y) = 1. Let t(x) = -x + 2. Calculate k*t(r) - 5*s(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17542*j = -17571*j - 29 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/20)\/((-3)\/4). Let f = -60.524 + 60. Let q = -0.024 - f. What is the biggest value in k, q, -3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 + 4*x - 12*x**2 + 4*x**3 - x**3 - 5*x in the form j*x + y*x**2 + g + d*x**3 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/sqrt(2)*-6*-1 - sqrt(243)\/(sqrt(9) + sqrt(27)\/sqrt(3)*1).\nAnswer: 33*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270540 and 20040.\nAnswer: 541080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -1001?\nAnswer: -773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10733*j - 42929. Determine b(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2049505, -2049496, -2049487, -2049478?\nAnswer: -2049469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -103, -95, -73, -31, 37, 137, 275, 457?\n\"Answer: v**3 + v**2 - 2*v - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5550*w**2 + 14*w**2 - 2764*w**2 - 2731*w**2.\nAnswer: 69*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*k = -38, 0 = 4*c - k + 4*k - 12. Suppose -2*y + 0*y = -c. Let r be 2\/(y - (-57)\/(-21)). Solve 0 = r*d - 3*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 6:53 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + -0.06. Let m = 2.91 + t. Put m, -1\/4, 1\/5 in decreasing order.\nAnswer: m, 1\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 302.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.094 + -1.654. Let i = -30927351.94000063 + 30927353.5. Let t = r + i. Round t to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.1332 * 0.02.\nAnswer: -0.302664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16078 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -120, 305, 0 in ascending order.\nAnswer: -120, 0, 5, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 12*k**2 + 12*k + 29. What is f(11)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {k: 1, v: 7, g: 9, w: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 17126976?\nAnswer: 17126976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1630\/(-20) + 519\/(-1038)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -5 (b) -0.026 (c) -1\/798 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -54, 0, -20, 31 in decreasing order.\nAnswer: 31, 0, -6, -20, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 296956486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 33*d - 126.\nAnswer: 3*(d - 3)*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 + -121 + 1 + -8 + 1 + 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330747377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 + 1f6?\nAnswer: 20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2378.\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -171 - -102. Let v = -65 - u. Is -5 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726 = 8*q - 314. Let m(z) = -4*z + 1. Let a(l) = l**3 + 3*l**2 + l. Let g be a(-3). Let v be m(g). Calculate the greatest common divisor of q and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + 1 + -1 + (sqrt(1100) + sqrt(1100) + -3)**2 + sqrt(1100) + 5.\nAnswer: -110*sqrt(11) + 4421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 9*x**2 - 5*x - 12. Let l be -1 + 8 + 1 + (-4 - -2). Let i be n(l). Calculate the highest common factor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3773750 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -37. Let t(y) = 19*y - r*y - 13*y - 5 - 10*y. Let u(m) = 13*m + 6. Let a(i) = 2*t(i) + 3*u(i). What is the first derivative of a(d) wrt d?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6079282 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(36\/117))\/(((-1287)\/52)\/(-33))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1044 divided by 6.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*l + 57 = 0, -4*j - 3*l - 27 = -8*j. Suppose -j*v + 5*v = -332. Suppose 0 = 4*f - 587 + v. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63936764.\nAnswer: 2, 29, 551179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 10*n**4 - 7 + 5 - 5 + n**4 + (0*n**3 - 4*n**3 + 5*n**3)*(-5*n + 2*n + n) + 0*n**4 - 6*n**4 + 5*n**4 - 4*n**4 + 2*n**4 - n**4.\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 13330*s**2 + 6497040*s.\nAnswer: 5*s*(s - 2024)*(s - 642)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149527*t**2*y**4 - 408066*t**2*y + 2*t**2 - 404*t*y**2 - 5*t wrt y.\nAnswer: 1794324*t**2*y**2 - 808*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 + 90*n - 9. Let d(q) = -q**2 + q + 2. Let w(s) = 6*d(s) + u(s). What is the remainder when w(31) is divided by 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404\/16 - 1\/4 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a8 + -8b?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a century in years?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508 = 2*s + 3*s + d, -s = 3*d - 110. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Let c(b) = -43*b**2. Give c(x(s)).\nAnswer: -43*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 85\/25*5 - -1. Let c be 6\/(-4)*2\/s. What is the third smallest value in -13, -2\/9, -0.5, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1)\/a))**(2\/3))**(2\/33)*(a\/a**(-1)*a**(-9\/2)\/a)**(-2\/77) assuming a is positive.\nAnswer: a**(7\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2732749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5426986 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 459095 and 64155?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10506 bigger than 10504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, i: 5, z: 8, h: 1}. What is prob of picking 1 i, 2 z, and 1 h?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z - 1\/10*z**6 + 19\/10*z**5 + 0*z**2 + 0*z**4 - 2 - 23*z**3. What is the second derivative of u(n) wrt n?\nAnswer: -36*n**2 + 228*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12573 + a62?\nAnswer: 13415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 45e (base 15) to base 12\nAnswer: 6a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1249678825 divided by 7495.\nAnswer: 166735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 5 - 8 + 65*s)*(-20 + 35 + 5) in the form f + b*s and give b.\nAnswer: 1300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1907585036 rounded to three dps?\nAnswer: -0.191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 39*q + 12*q = -232190. Calculate the greatest common factor of 217 and q.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42255 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*i - 32. Let s be (19\/(-3))\/(i\/(-24)). Calculate the highest common divisor of s and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 329774 by -177.\nAnswer: -329774\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3776 divided by -1\nAnswer: 3776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7\/4, -1747, -0.8, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r - 3. Let j be g(-4). Suppose j*c = 7*c - 24. Calculate the remainder when 68 is divided by (-184)\/c*6\/4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2. Let u(p) = 7*p**3 - 3*p**2 - 3*p. What is -3*a(j) + u(j)?\nAnswer: 7*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 47. Solve o = -2*a + 4*d, -d = -3*a - 2*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 912\/32659 or 0?\nAnswer: 912\/32659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2*i - 75 = 0. Let n(w) = 30*w + 15. Let x(m) = -m - 1. Let f(b) = i*x(b) - n(b). Let l(r) = -12 - 6 - 9 + 27 + 2*r**2. Give l(f(j)).\nAnswer: 450*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 26 = -4*r, 5*r - 30 = -5*g - 0. Suppose -5*t + 4*x = -675, -102 - 168 = -g*t + 3*x. Calculate the remainder when t is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -10, -15, -12, 5, 42, 105?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 1. Let u(o) = 5*o - 21. Let j be ((-32)\/28)\/(44\/(-154)). Calculate j*t(w) - u(w).\nAnswer: -w + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + -4.5. Suppose -2*j + 4 = -3*k, 4*k + 5*j - 52 = -19. Which is the nearest to k? (a) -0.3 (b) 1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Let t = 8 - a. Suppose 0 = -5*d - 1 + t. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 43*d**2 - 2*d + 2. Let y be i(1). What is the highest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000565082 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 212201 (base 3) in base 4?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -4 (c) 134 (d) 0.5 (e) 6.671 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + 67. Suppose 0*k = -2*k + 8, -4*t + v = 5*k. What is the remainder when 59 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 10\/691?\nAnswer: 10\/691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/((-8)\/3))\/(-2). Let b be (-28)\/(-8) - (-1)\/2. Suppose 6*t - b*t = 2. Is t > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17)\/(-119) - (-247)\/(-455). What is the smallest value in 2, 145, 0.2, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**4 + 762758*t**3 + 5*t**2 + 7584890*t wrt t.\nAnswer: -12*t**2 + 4576548*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 15 = 2*l, -8 = -3*l + l + 4*w. Let k be (l\/15)\/((-3)\/(-990)). Let f = -281 + k. What is f rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174556 divided by -39?\nAnswer: 174556\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 20*w + 2. Determine k(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*u + 32*u - 30 = 0. Suppose -9*x - 20 = -13*x. Sort -1, u, 11, x in ascending order.\nAnswer: u, -1, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 - 4)*(0 + 0 - 3*l)*(1 + 0 - 3) to the form v*l + y and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*r + 0 + 0*r - 3 + (6*r - 2*r - r)*(0 + 3 - 4) + (2 - 2 + 2)*(0*r - 3*r + r) - r - 2*r + 2*r.\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 11:21 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 13969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, j: 3, a: 2, l: 4}. Give prob of picking 3 f and 1 j.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7277669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 132\/6*480\/330\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 468 and 1248.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 23877867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3230 (base 4) in base 12?\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 11:20 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 at least as big as -744\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.76 + -2.24. Let k be 4\/(-3 - -2 - -2). Which is the third biggest value? (a) 0.5 (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 6324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*z - 3*z - 32, -14*z = -3*g - 9*z - 4*z - 52 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 4:50 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1428, 1411, 1382, 1341?\nAnswer: 1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -f - 13, 5*f + 24 = 4*c + 16. Is -2 + -10*(-376)\/(-12)*c a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c2 + 1864?\nAnswer: 1e26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/((-115)\/23)*24\/12?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 30 = -4*i, -5*i + 878*n - 876*n = 29 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 9003*t - 438732. Determine m(-49).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336) + sqrt(336)*-3)\/sqrt(12) + 3 - (-4 + sqrt(28) + sqrt(56)\/sqrt(2) + 1*sqrt(1372)).\nAnswer: -22*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 1301?\nAnswer: -1274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -27. Let t be (-1779)\/(-3) - (2 + -7)*-1. Suppose -8*h + 115 = -7*h + 2*n, -3*n - t = -5*h. Calculate the highest common divisor of x and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 2150*o - 107757. What is p(49)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**7\/1260 - c**6\/180 - c**4\/24 - 2*c**2. Let u(o) be the second derivative of f(o). Give u(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 387, -150, -2525, -7656, -16461?\nAnswer: -29858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*v**3 - 4*v**3 - 99*v - 5*v**3 + 18*v**3 + 104*v**5 wrt v.\nAnswer: 2080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 5 + -2)*-4. Suppose 9*o - k = 5*o. Sort o, 5, 2 in descending order.\nAnswer: 5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 2*r + 64, 183*r + 157 = -11*i + 178*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 839*y**6\/10 + y**5\/10 - 4639*y**2\/2 + 1496*y - 2. What is the derivative of w(i) wrt i?\nAnswer: 10068*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/1)\/70*14.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -9.9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4106219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 102 = 11*o. What is the third derivative of -297 + 602 + 31*v**2 + 80*v**o + v - 305 wrt v?\nAnswer: 9600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 - 1.22. Let r = t - 0.18. Let u be ((-4)\/25)\/((-1)\/5). Put r, u, -0.4 in decreasing order.\nAnswer: u, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 110*d**2 - 2820*d - 4080. Determine z(67).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 less than 105?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.9501504 to the nearest integer.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 11*f - 3. Let c(j) = -6*j + 1. What is 7*c(a) + 4*x(a)?\nAnswer: 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*c = -154 - 47. Solve -16*v = -c*w - 11*v - 21, -3*v + 1 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u**5 + 32*u**4 + 4*u**3 - 30*u**2 - 19*u - 2 = 0. What is u?\nAnswer: -1, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -416, -337, 144, 1159, 2840?\nAnswer: 5319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*m + 88 = 0, 73 = 2*f - 4*m - 19. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8\/647 - 24179\/19410. Let q be ((-3)\/(-248))\/((-36)\/(-8780)). Let c = -17\/186 - q. What is the common denominator of y and c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v + 5 = 0. Suppose -3*a + 4*m - 94 = 2*a, 2*a + 34 = -2*m. Let z be (-4)\/a*63\/24. Is z bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -304 - 2?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05521 * 0.82.\nAnswer: 0.0452722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 8*r + 13. Suppose 0 = 3*s + 17 + 10. Let o be i(s). Solve -2*y = -0*c + 2*c - 2, 0 = o*y + 2*c - 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -408.8*-134.6\nAnswer: 55024.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1227*r**3*w**2 + 3*r**3 - 358*r**2 - 2*r*w with respect to w.\nAnswer: 2454*r**3*w - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - y**2 + 1)*(4 - 5 + 0) + 2*y**2 + 2*y**2 - 2*y**2 + (-y + 2*y + 3*y)*(-1 - 2*y + 1) + 0*y**2 + 0*y**2 + 4*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c = -32*c + 3*y - 201, 199 = 4*c + 5*y. Suppose c*j - 1848 = 40*j. Calculate the highest common divisor of 96 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, o: 8, k: 3}. Give prob of picking 2 o, 1 k, and 1 f.\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 15507 = -s + 10262, 0 = -3*s + x + 77339. What are the prime factors of s?\nAnswer: 149, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.54 - -0.04. Let x = 0.1 - 0.2. Let t be 1*(-1 - (-2)\/3). What is the smallest value in x, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**3 - m**2 + 9*m - 8. Let q(z) = -2*z**2 + z - 5. Calculate -5*q(f) - 3*s(f).\nAnswer: f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 14 = 1197*j - 1203*j, -2 = 2*j - 3*m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 50. Let a = -1607 + 1648. Calculate the remainder when a is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -49, 1\/2, 4, 24759\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r = -19*r + 195 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40080061 * 0.3.\nAnswer: 12024018.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*c - 1. Let u = -32 + 23. Let l be c + (-21)\/u - 2. Put 4, l, 5 in descending order.\nAnswer: 5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -13*j**2 + j + 102. Let n(k) = -8*k**2 + k + 68. What is 8*n(l) - 5*y(l)?\nAnswer: l**2 + 3*l + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 18. Let u be i(-6). Suppose -793 = -4*q - 2*j + 861, 5*q + j - 2066 = u. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 9 = -a. Let s = 2 - a. Suppose 0 = 5*t + 25, z + s*t - t - 17 = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/7 + 1455*a - 1781550\/7.\nAnswer: -3*(a - 3210)*(a - 185)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2508 and -28\/675.\nAnswer: 564300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from kvkvkkkkrtkkkkkr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5908296 by 12.\nAnswer: -492358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*y**4 - 12*y**4 + 42*y**4 + 2*y - 2*y**4 - 2*y + (2*y**2 - y**2 - 3*y**2)*(4*y**2 - 2*y**2 + 0*y**2) as l*y**4 + g + n*y**2 + f*y + b*y**3 and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/13)*i)\/(i**0*i))**(-2\/97)\/(((i*i\/i**(-7)*i)\/(i**(5\/2)\/i))\/((i\/i**(2\/7))\/(i\/(i*i**(-4))*i*i))) assuming i is positive.\nAnswer: i**(-243289\/17654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 60047, 240227, 540537, 960977, 1501547?\n\"Answer: 60065*d**2 - 15*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -0.6. Suppose 141*j + 5601 - 1931 = -4508. Is j smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 40. Let u be (-2 + k\/6)*3. Which is the nearest to 0? (a) 5\/4 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 - p + 1. Suppose 4*b - h = -0*h - 53, -40 = 5*b + 4*h. Let m = -14 - b. What is u(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Suppose q*l - 1 = 2. What is the greatest common factor of l and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -3.82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 2. Let i be d(2). Let r(m) be the third derivative of m**4\/8 + m**3\/2 - 3*m**2. Let w be r(i). Solve 3*f + w = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 6*u + 2685*u**2 - 2645*u**2.\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6*12\/56*1. Let i = -13.3 - -13. What is the fourth smallest value in i, 0.68, w, -0.2?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/255*(-9)\/(-2)*-7*(-5)\/35?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6160*s**3 - 143*s**2 + 48 wrt s.\nAnswer: 36960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 10*l**2 - 3*l - 15. Is y(11) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 7:31 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377840845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leeleegeggeglle. Give prob of picking 1 e and 1 l.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0386 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-69)\/15*1 - (-42)\/(-105). Let l(u) = 12*u**2 + 2*u + 16. Is l(d) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o - 16 = 0. Suppose 0 = -3*r + 5*r - o. Let s(x) = 0*x**2 + r*x**2 - 5*x**2 + 2*x**2. Let u(g) = 6*g**2. Give s(u(q)).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.6 - 7. Which is the second smallest value? (a) o (b) -4\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 205*u + 213. What is g(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**4 - 5732*n**3 - 51324*n**2 - 85340*n + 142400 = 0.\nAnswer: -1424, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11120300 (base 5) to base 7\nAnswer: 556204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142919 - 83572 = 5021*f + 4804*f + 431784 for f.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3538 + 3892. Which is smaller: f or 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(sqrt(5) - sqrt(320)))\/(sqrt(8)\/(-4*sqrt(4))))**2.\nAnswer: 48\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/35 - (-34)\/56. Let o = 0.01 + 3.99. Sort i, o, 3\/2 in ascending order.\nAnswer: i, 3\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 + 4*v - 3. Let f be x(2). Let b(i) = 4*i**3 - 14*i**2 + 7*i. Let c(j) = j**3 - 5*j**2 + 2*j. Let q(h) = -2*b(h) + 7*c(h). Determine q(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, 30\/101, -0.4 in ascending order.\nAnswer: -0.4, 30\/101, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1585 divided by -3.\nAnswer: -1585\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64412670 and 560?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3*f + 16 + 2 = 0, -2*f = -4*v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, c: 1, x: 1, d: 2}. Give prob of picking 2 d and 2 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*j + 9. Suppose j*f = 4*f + 80. Let r = -23 - -53. What is the remainder when r is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + b + 4. Let z(t) = -6 + 4 - 4*t**2 + t - 4*t - 13. Let h(g) = 22*w(g) + 6*z(g). Factor h(y).\nAnswer: -2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -g + 3. Calculate the remainder when 17 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17865673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 1150*s**2 + 52 - s - 574*s**2 - 576*s**2 in the form q*s**3 + x + r*s + a*s**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 - 59. Let j(h) = 2*h**3 - 3*h**2 + h - 2. Let c be j(2). Let n(t) = 2*t**2 + t + 3. What is the remainder when n(c) is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - (4 - -3))*-5. Let s be z\/20 - (-1)\/(-4). Which is the second smallest value? (a) s (b) -2\/3 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*m = -1172 + 3911, 5*s + 4*m = 6873. Calculate the greatest common divisor of 216 and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*g - 828 - 5*g**2 - 138*g + 223.\nAnswer: -5*(g + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 534*s**3 - s**2 - 2067*s - 9588711.\nAnswer: 1602*s**2 - 2*s - 2067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241628?\nAnswer: 2, 29, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1029864 divided by -2?\nAnswer: 514932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 265 and 478.7?\nAnswer: 213.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/10*(4 - (-137)\/(-10)) and 43\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 12 - 33 + 3*j + 5 + 12. Suppose 3*v - 1 - 5 = 0. Let c(g) = 2*g - 1. Let y be c(1). Let l(p) = -p + 1. What is v*l(r) + y*u(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = d - 0*d - 3, 0 = 4*d - 2*q - 2. Let v be (19\/(-38))\/((-2)\/20). Solve d = v*n - 20 - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.031 and -13562824?\nAnswer: -420447.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -4\/13 (b) 0 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*d**2*o**2 + 9*d**2*o - 2*d*o**2 - 48*d - o**2 wrt d.\nAnswer: -14*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 0*u + 9*u**2 + 0 + 0*u**3 - 1\/6*u**4. Calculate a(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*b + 186*b + 352 + 755 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*((sqrt(125) + 0 - sqrt(125)) + sqrt(125) - sqrt(125)) - sqrt(125)) + sqrt(125) - sqrt(125))**2.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*(7\/2)\/7. Suppose c = -4*i - w, 2*i + 13 = 3*c - 0*c. Solve 0 = 5*j - 5*r + 10, -r - c*r = -8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2102.07 + -2102. Let i = 0.44 - 0.24. What is the third smallest value in 0, d, -2\/7, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (50 + -18 - (7 + 30)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u**2 + 2*u**4 + 3 - 1 + 8*u**2 - u as x*u**3 + b + t*u + s*u**2 + o*u**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, -40, -101, -196, -331, -512, -745, -1036?\n\"Answer: -c**3 - 8*c**2 - 2*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32194 and 1286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7)*4 + 4 - (sqrt(7) - (-2*(sqrt(7) + 3 - sqrt(7)))**2))*-2.\nAnswer: -480 - 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2764 (base 13) to base 7\nAnswer: 22333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = k - 1 - 6, 5*s = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(133)\/sqrt(28) - -1*-2*sqrt(171))**2.\nAnswer: -22*sqrt(19) + 2315\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, j: 1, b: 1, c: 2}. What is prob of picking 1 c, 1 o, 1 j, and 1 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 19*r - 23. Give s(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 7:30 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5 - 6 + 3 - 817*a - 4. Let b = -85 - -84. Is m(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 6:31 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**5\/20 - 5*o**4\/16 - o**3\/4 + 9*o**2\/8 + 42. Suppose d(n) = 0. What is n?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 8*r**2 + 4*r - 14. What is the units digit of x(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -18, 3, -12, 9 in descending order.\nAnswer: 24, 9, 3, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 272*a**3 - a**2 + a. Let h be u(1). Let y be -99*(h\/(-12) + 1). Suppose 0*i = -2*i + g + y, -2*g + 4294 = 4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 4, 4.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 93768847 to the power of 1\/2, to the nearest integer?\nAnswer: 9683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*(-190)\/95.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*(u\/u**41)\/u*u)*u**(2\/59)\/u*u*u*u**(-1)*u*u*u*u**(-1) assuming u is positive.\nAnswer: u**(2480\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 216493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 1425.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/7 + 4 - 5)*4\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*h - 3*c, 17889 = -2*h + 3*c + 17906 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13025539024 - 10.5.\nAnswer: -13025539034.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 6*l**2 + 2*l**2. Suppose 0 = -2*g - 2*n + 40, -28 = -6*g + 3*g + 5*n. Let u(p) = -4 - 3 + g - 9 - 41*p. What is c(u(a))?\nAnswer: -1681*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133616*o**3 + o + 6379.\nAnswer: 801696*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 601 + -601. Let a(b) = 4*b + 299 - 5*b + 4*b. Is a(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 11 - 23 - 7 - 9*h to r*h + m and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/(-20)*-2 + 0 and -3 + (-439)\/(-30) - -5*(-14)\/210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abzb when four letters picked without replacement from aaaabzazazaaabaazza.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 21. Let j be 0 - 3 - (k + -5). Solve g + j*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 14\/10)\/((-54)\/45). What is the third smallest value in 1, 0.2, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -11, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acf. Give prob of sequence fc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4011816?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 5*u = 0. Let z = 15 + -8. Let n = z - 10. What is the closest to -1\/2 in n, 2\/19, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, -1\/35, -1.\nAnswer: -3, -1, -1\/35, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40\/(-32))\/(5\/20). Let k = 0.34 - 0.3. What is the biggest value in y, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -77\/58?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3\/4 + 88507*y**2\/4 - 489935850*y + 15166754991 = 0?\nAnswer: 31, 44238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 4:39 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let g(y) = -y**3 + y**2 - y - 3. Let l be g(k). Put -5, l, 4 in ascending order.\nAnswer: -5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - 1*sqrt(1573))**2 + -3)*-4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/21 (b) -4 (c) 734 (d) -2\/7 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31624888*v**2 - 19 + 19.\nAnswer: -31624888*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321734*l = 323036*l + 179676 for l.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 3*h - 4. What is j(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*1)\/(440\/40)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - t)*(4 + 52*t + 2*t**2 - 2 + 55*t).\nAnswer: -2*t**3 - 107*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least as big as 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l - 1. Let b(d) = -9*d**2 - 3*d - 1. What is b(r) - 3*x(r)?\nAnswer: -12*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 - (-1 + 0)) - (12 + 1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -61 (c) 42555.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2199974 (b) -2\/21 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 5*p**4\/6 + p. Let m(f) = -55*f**2 + 100*f**2 - 56*f**2. Let y(s) = -3*h(s) - 2*m(s). Let a(x) = 3*x**2. What is y(a(z))?\nAnswer: -72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 - -290?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -2. Suppose -3*g - v = -10. Suppose -8*j = -g*j + 25. Sort 4, j, 1 in descending order.\nAnswer: 4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1618 and 7150.\nAnswer: 5784350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 6*n. Let d be 3\/(-7) + 23824\/7 - 4. Let i(c) = -c - 3399 + d. What is m(i(w))?\nAnswer: -2*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -436 + 451. Suppose 15723 + 17742 = r*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 12*d**3 + 105336*d**2 - 1370889*d + 4457037 = 0.\nAnswer: -8791, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**8\/6720 - n**7\/1260 - n**6\/720 - n**4\/24 - 3*n**2. Let z(u) be the second derivative of x(u). Factor z(j).\nAnswer: -j*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 6711b7?\nAnswer: 6711ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 2*o + 2. Let k(v) = v**2 + v - 1. What is -5*k(t) - 4*q(t)?\nAnswer: -t**2 + 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-2))\/((-510)\/136)*(-10)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g. Let r(u) = -999*u - 18. Let i(a) = -998*a - 21. Let t(o) = -6*i(o) + 7*r(o). Give m(t(n)).\nAnswer: 1005*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 29680*q**3 + 5283036*q**2 + 235094568*q - 31684 = 0?\nAnswer: -89, 1\/7420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + (3*(sqrt(98) + 2 + sqrt(98) + sqrt(98) + sqrt(98)))**2 - (sqrt(98)*1 + -4) - (sqrt(98) + sqrt(98)*1*4 + (-2*(1 + sqrt(98))**2 - sqrt(98))).\nAnswer: 1008*sqrt(2) + 14350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002987 to 5 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*j - 6, -699*o + 57 = 2*j - 704*o. Let k be 493\/(-735) + (-4)\/(-6). Which is greater: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 8*z**2 + 11*z - 24. Let j(q) = 2*q**2 + 3*q - 2. Determine -2*j(c) + u(c).\nAnswer: -c**3 + 4*c**2 + 5*c - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*u - 6, 2*b + 3*b = -2*u - 9. Suppose 0*h - 144 = -4*a - h, u*a - 123 = 3*h. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10\/19 (b) 2 (c) 29\/6 (d) -230\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8313243439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 0)\/(-4) + 13. Solve i*l - 10 + 34 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 - 11*m**3 + 2*m**3 + 0*m**3.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:49 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 65.2 (b) 75 (c) -6\/11 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -9*t**4\/2 - 7*t**3 + 4. Find the third derivative of s(y) wrt y.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 + 2*p**4 + 3*p**4 - 2*p**3 + p**4 - 3*p + 3*p + (-p + 4*p - 4*p)*(2*p - 2*p**3 - 2*p) + 5*p - 2*p**4 - 5*p.\nAnswer: 2*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73910148 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20537 and 20.1.\nAnswer: -412793.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 302\/1510 - 88\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 275 and 6186775?\nAnswer: 68054525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5991701.\nAnswer: 17, 47, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t + 23296 = 151*t + 260*t for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p - 6. Let q be o(5). Let g(m) = -m**2 + 9*m + 4. Let s be g(q). Suppose -2*n - s = -28. What is the remainder when 34 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 0*r**2 + 7*r**2 + (-1 + 1 - 2*r)*(4*r + 2*r - 5*r) + (1 - 1 + r**2)*(-1 - 3 + 5).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let b = 12 + -8. Suppose -5*h + 25 = f, 4*h + b*f = h + 15. Let z(u) = 3*u**2 - 8 + h*u**2 + 8. What is z(l(v))?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.11405ml in litres?\nAnswer: 0.06311405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/3 + 1024*o**4\/3 + 291965*o**3\/3 + 14865662*o**2\/3 + 9619840*o + 4761600 = 0 for o.\nAnswer: -480, -62, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 100*b - 1974. What is f(73)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3893348011 to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(1\/3)*q)**(-2\/67)*(q**(2\/7)\/q)**(-4\/5) assuming q is positive.\nAnswer: q**(664\/1407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 176.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 115.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1054*d**2 - 2*d. Let v(w) = 25*w**2 + 17*w**2 + 15*w**2 + 24*w**2 - 91*w**2. Determine a(v(q)).\nAnswer: -105400*q**4 + 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1794 = -i - 989, 5*s - 5*i = 3490. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 32. Suppose 4*k - 24 = 4*p, f*p = -k - 1 + 2. Suppose -k*t = -887 - 298. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*z - 111 + 150 = 0, 5*z = 4*k - 81. Let q be (1\/(-2))\/((-2)\/52). Solve 2*m = -5*b + 5 + q, 4*m - k = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(-4590)*24)\/((-6)\/(-1)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 247813073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -160 + 172. What is the remainder when 65 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 9:08 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2299 - -2384. What is the remainder when 232 is divided by g?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -11. Suppose -4*y + 324 = 4*v, 3*v - 227 = -y + 6*y. Suppose 3*x - 5*b = 62, -l*b = -3*x - x + v. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103\/4 + 4211\/164. Let v = -4153\/164 - o. What is the common denominator of v and (1\/(6 - 3))\/((-2)\/19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 73714\nAnswer: 1474.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 263 (c) 21325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 100020*q**2 + 2099278*q - 12997140.\nAnswer: 2*(q - 5)*(q + 26)*(q + 49989)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 7:18 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + l**2 + 145. Let b = 8 + -8. Is r(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = y - 10, -y + 30 = -0*y + 5*m. Let r be (7 - (0 - -2))\/(-15 - -14). Sort r, y, 1 in decreasing order.\nAnswer: y, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -103527, -414109, -931749, -1656447, -2588203, -3727017, -5072889?\n\"Answer: -103529*l**2 + 5*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 4*m**2 - 3. Let z be w(4). Put 3, 4, z in decreasing order.\nAnswer: 4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -31*j**3 + 4*j**2 + j - 5. What is z(1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40 + 192*m**4 - 40 + 4*m**4 - m**4 - 4*m**4 + (-2*m + 5*m - m)*(-3 + 3 - m**3) - 2*m**4 + 3*m**4 - 3*m**4.\nAnswer: 187*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 1096883128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 119*z + 12*z = 0. Solve 0 = -z*h + h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-3))\/4)\/((-5)\/120*-16)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {p: 2, w: 4, o: 1, s: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -90*y**3 + y**2 + 3*y. Let b be h(-3). Let x = b + -933. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -4, 5 in descending order.\nAnswer: 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -985804, -1971585, -2957364, -3943141, -4928916, -5914689, -6900460?\nAnswer: -7886229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 2*u**2 - 59*u - 173. Give o(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-84) - (23 + (-3288)\/144). Which is the nearest to -2\/7? (a) 4 (b) w (c) 9 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 - (-80)\/36. Suppose v - 3*y = z*y - 9, -2*v + y = -9. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 37*k**2 - 5*k + 21. What are the prime factors of j(4)?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 383911 and 187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 + 3. Suppose r + 50 = 6*r. Let i be 10\/(-4) - 15\/r. Let v(l) = 6*l - l**3 - 6*l + 1. Give i*v(x) + s(x).\nAnswer: x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*v + 6. Let h(o) = 8*o + 36. Let u be h(v). Let q be -2*((-27)\/13 - (-14 - u)). Which is the nearest to q? (a) -7 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19305 greater than -1.728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -54759*m - 13. Let o be n(4). Let z = -119049 - o. Round z to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-97)\/(-176) + -11 + 10 and -61\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -607, -1172, -1737, -2302, -2867, -3432?\nAnswer: -3997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 31. Let p = 20.94 + -20.74. Sort p, n, -0.5, 5 in decreasing order.\nAnswer: 5, p, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2856 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12351, -12347, -12343?\nAnswer: -12339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 - -2201?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51.1 - 51. What is the second smallest value in 4, -1, -4, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -45.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + 6*r**2 + 1. Let a be (0 + 3\/12)*11\/((-44)\/48). Give i(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35923928 times 0.3?\nAnswer: 10777178.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 100177 + -149194?\nAnswer: -49017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 + 0.98. Which is the closest to f? (a) 0.5 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - r**5 - r**3 + (-r - 6*r + 3*r)*(4*r**3 - r**4 - 4*r**3) + 2*r + r**5 - 2*r.\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12824434 is divided by 103.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*d**2 + 4*d + 2*d**2 - 4*d.\nAnswer: -87*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 256590? (a) -1\/3 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2. Suppose -2*a = q + 3, 7 = 5*q + 3*a - 6. Solve z = 5*g - 0*s + s + 11, 2*s - 23 = q*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**4\/10 + 4*s**2\/5 - 56. Let x(u) = 0. What is u?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13246 (base 8) to base 14\nAnswer: 2182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -75*-120\nAnswer: 9000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -15*d**2 - 150*d - 45. Give h(-10).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 20*v - 12. Suppose 15*r - 21*r + 72 = 0. Let n(x) = -2 + 5*x - 3 - 3*x + 6*x. What is r*n(m) - 5*a(m)?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - k - 3, 2*f = 2*k - k + 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3046\/13913?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.545? (a) 2 (b) -5 (c) 3\/62 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 1, o: 2, a: 1, u: 1, q: 1}. What is prob of picking 1 o and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5660 (b) -2\/25 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 88163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 794 + -782. Calculate the least common multiple of s and 213.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 + 6 = 0. Suppose -y - 5*w = 63, j*w = -5*y + w - 219. Let h = 77 + y. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3666*g - 25643. Determine p(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -6. Suppose -17 = s + 55. Does 7 divide (-754)\/y - 12\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -20. Let f be 22\/(-99) - (-65)\/d. What is the units digit of (-59)\/(-3) + f\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 + 39*o**3 + 54*o**3 + 6*o**2 + 12*o + 6*o**2 - 101*o**3.\nAnswer: -4*(o - 2)*(o + 1)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 17*g + 21. Let j be a(-18). Solve s = -j*s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -10*b - 5. Let w be -5*2*1\/4*-2. Let k(d) = -9*d + 3*d - 5 - w*d - 1. What is 6*j(p) - 5*k(p)?\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**3 - 213*q**2 + 325*q + 46999279 wrt q.\nAnswer: -6*q**2 - 426*q + 325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003622 rounded to five decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(1\/((-6)\/(-20)))\/(18720\/(-67392))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h + 0*h**2 - 7 + 4*h**2 + 7 wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -4*w - 0*w + 3*c, -2*c + 10 = w. Calculate the remainder when w is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - -1) + -26 + -125 + 55?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*h + 14143297 = 0, o - 1967798 = 4*h + 1568029. Let y = -5864177 - o. What is y rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2418 and 3301779.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -26. Let f be ((-231)\/(-55))\/((-2)\/(-10)). Let y = f + -26. Which is the third biggest value? (a) w (b) 1 (c) y (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -9, -24, -45?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 4*m - 11*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, -99, -205, -351, -537?\n\"Answer: -20*l**2 - 6*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -2\/11, 0.3, -11, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 224\/5 - 1588\/35. Let j = 50.24 - 50.44. Sort 0.5, j, q, 5.\nAnswer: q, j, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 5*c**2 - 6*c + 5. Let g be h(-6). Suppose -q = 3*u - 86, -u = g*q + 9 - 61. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 171 + 10?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Suppose -q + a = q. Let j = 89 + -618\/7. Is j not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 1\/4 (b) -1 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4125708*z - 6057684.\nAnswer: -4125708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -175427433 or -175427435?\nAnswer: -175427433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i + 5*d - 76, -5*i + 2*d + 272 = 0. Suppose 16 - i = -4*n. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1266 - -1267. Is p less than 0.0182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37.3 and -295?\nAnswer: -11003.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -110221130033 (base 4) in base 14?\nAnswer: -a0c75d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/5 + 11106*q**2\/5 - 20557206*q\/5 + 12683796102\/5.\nAnswer: -2*(q - 1851)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 12, 30, 58, 96?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 15*l - 11. Let m(u) = 7*u - 5. Let s(g) = 13*m(g) - 6*p(g). What is s(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -163, -506, -1039, -1774, -2723?\nAnswer: -3898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 367 and 1063566.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 9 = 3*l, -4*t + 2*l - 4 = -2*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(45\/20*(-4)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160\/11*f + 26\/11*f**3 + 0 - 2\/11*f**4 - 112\/11*f**2.\nAnswer: -2*f*(f - 5)*(f - 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 289*l**5\/30 + 17*l**4\/9 + 4*l**3\/27 + 27*l**2 + 2*l. Factor y(p).\nAnswer: 2*(51*p + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16701 and 2637.\nAnswer: 50103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -573398, -573397, -573396, -573395?\n\"Answer: k - 573399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 2\/5 (b) 1\/7 (c) 1 (d) 2 (e) 0.76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37854158 a multiple of 458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 202121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 11. Let m be g(8). Suppose -5*w + 359 = -0*w - m*k, 5*w - 5*k - 365 = 0. What is the greatest common divisor of 28 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.2 (c) 810 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 16*u + 39. What is y(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/5 - 20\/50. Let v(d) = d - 7. Let q be v(s). Let u(c) = -12*c - 21. What are the prime factors of u(q)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifii when four letters picked without replacement from {p: 2, f: 2, i: 9}?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.307629 to 3 dps.\nAnswer: 2.308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**2. Let d(z) be the first derivative of -z + 0*z**2 + 1 - 1\/3*z**3. Let u(j) be the first derivative of d(j). Give u(s(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q - q)*(6 - 10 - 135*q**2 + 3).\nAnswer: 135*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 708709.3 nanometers?\nAnswer: 0.0000007087093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/7 (b) -4 (c) 1\/2 (d) 27\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 372\/30)*(-1665)\/(-6) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 p when four letters picked without replacement from {x: 2, p: 6, g: 7}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 179702388 and -1435.\nAnswer: 179700953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2077?\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.7 - -3. Let a = 5.3 - n. Let x = -3\/137 + -235\/1781. Sort x, a, 1\/6 in increasing order.\nAnswer: x, 1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5\/6 (b) -0.4 (c) -0.2 (d) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9215 = -199*w + 218*w. What is the highest common divisor of 20 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -169941066\/7 and -24277296 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6592)\/(-47792)*58\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 3)*(0*q + 1 + 0*q + 2*q).\nAnswer: -8*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 0*w - 2305 - 2*w + 2311. Let y(a) = 2*a - 5. Let n(x) = -5*b(x) - 6*y(x). Let j(r) = 3*r + 5. What is j(n(f))?\nAnswer: -6*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*a**3 - a + 391*a**3 + a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -76. Solve -4*h = 5*p + u, 4*p = -4*h + 5 - 21 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 41.8. Let l = 113\/549 + 1\/61. What is the third smallest value in -1\/6, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2068384969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(-1))\/k)**(2\/63))**(-4\/7) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18940 - 18920. Let b(p) = -p**3 + 22*p**2 - 38*p - 42. What is b(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1251 and -8.3.\nAnswer: 1242.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121 - 243. Let w be (1 - d)*(-16)\/(-48). Let v = w + -15. What is the greatest common divisor of 286 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -320 - -323. What is the fourth biggest value in -0.5, 2\/3, g, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2089, 4263, 6611, 9217, 12165?\nAnswer: 15539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/7 - 437*g\/7 + 1416 = 0.\nAnswer: 24, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*q - 9 = -127*q + a - 27, 5*a - 145 = -9*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/7 (b) 8\/9 (c) 1 (d) 8553\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*s = -31415, 4*g + s = 15622 + 15823. What is g rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2561 - 1109. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1007772 divided by -484?\nAnswer: 251943\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -961141305*j**4 - 844935292*j wrt j?\nAnswer: -11533695660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-6 + 6 - -5 - -2) + -15 - -43?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 50208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*t + 84 = 4*s + 68*t, 5*s + 3*t - 132 = 0. Sort -5, -1, s, -7.\nAnswer: -7, -5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8734\/30 + 8 + -5. Let w = -1817\/6 + j. Let n = 758 - 4525\/6. Find the common denominator of w and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 38*f**2 + 7*f. Let j be o(-2). Suppose -5*b + j + 517 = i, -2*b - i = -259. Suppose -73 = 4*g - 181. Calculate the remainder when b is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x - 1. Let q(r) = -r**3 + 13*r**2 - 13*r + 15. Let w be q(12). What is f(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**3 - 26*n**2 + 847*n - 2710. What is b(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901?\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -5 (c) -3 (d) -0.13 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuorz. What is prob of picking 1 u and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 45*y**2. Let v(q) = 6*q - 50. Let m be v(7). Let c be m\/18 - 6842\/198. Let w(r) = 5*r**2. What is c*w(z) + 4*o(z)?\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2\/563, -2\/3, 4, -2, 1\/35?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 424?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 10652658654.\nAnswer: 10652658654.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/9, 747919 in increasing order.\nAnswer: -0.3, 2\/9, 747919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -53.21. Let t = -1.1 + 1.01. Let z = f - t. Which is the biggest value? (a) 2 (b) z (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-1 - (-18 + 24)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -11*h**5 - 2055950*h**4 - 96067160768*h**3 - 52399657824*h**2 = 0.\nAnswer: -93452, -6\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -7 - (440 - 471).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34875 * -3678.\nAnswer: 128270250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36880*z - 32010*z - 4420*z.\nAnswer: -73310*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -633*k - 10266. What is n(-16)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, h: 5, o: 3}. What is prob of picking 1 o, 1 h, and 1 v?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 861 * -2.\nAnswer: -1722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.067958 - 0.068. Round j to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1374*g**3 + 3*g**2 - 9*g - 561075 wrt g.\nAnswer: 4122*g**2 + 6*g - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 0*d + 1 + 0*d + (-1 - 3 + 6)*(d - 2*d + 0*d).\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 129 = 19*w. Suppose -1674 = -3*n - w*t, -n - n + 1116 = t. Calculate the greatest common divisor of 124 and n.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {l: 1, w: 3, t: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 61999800 to the nearest one hundred thousand.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2370*b - 80586. Determine f(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.4. Let y = -0.2 - 0. Which is the second biggest value? (a) m (b) y (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 2*j - 2*j + (3 + 2 - 4)*(2*j - 3*j + 3*j))*(-3*j - j - 2*j).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152 - 1006 + 6 - 404 - 56)*(-2*i - 5*i**2 + 2*i).\nAnswer: 8060*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*l - l - 12*l + 8*l - 2 as o*l + r and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-4)\/(-4) + -18 + 12. Let r = 143 - 78. Calculate the remainder when r is divided by 0 + 28\/t + 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4 + 1. Let t = 5 + l. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*d**2 - 87*d**2 - 94*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2708336 and 13288?\nAnswer: 29791696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1350*x**4 + 425 with respect to x.\nAnswer: -5400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584937?\nAnswer: 3, 103, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 - 108*x**3 - 2136*x**2 + 47872*x.\nAnswer: 4*x*(x - 32)*(x - 17)*(x + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/119 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49979 + -49977. Let 0 - 3\/5*i + 3\/5*i**w = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 37983*a**3\/4 + 360852*a**2 - 2506365*a - 3564 = 0.\nAnswer: -44, -18\/12661, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - y = 137, 2*g + 3*y - 46 - 49 = 0. Let a be g\/(-10) + (-30)\/(-50). What is the tens digit of ((-55)\/20)\/(1\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -2*t + 0 + 0*t**4 + 0*t**3 - 3*t**2 + 1\/5*t**5. Differentiate r(o) with respect to o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212067, -427089, -642115, -857145, -1072179, -1287217, -1502259?\nAnswer: -1717305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110111100001 (base 2) in base 12?\nAnswer: -4515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11*w + 0*w**2 - 8 + w**2 + 0*w**2 - 2*w**2. Let y be s(10). What is the units digit of 2*16*y\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 25 + 23 + (-62 - -37) + -1 + 13.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(2\/25))\/(r*r**36))\/(r**9*r)**15 assuming r is positive.\nAnswer: r**(-4623\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - ((-28 - 19) + -16).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3305 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2213414 + 2?\nAnswer: 2213421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -128 - 62*u + 128 as n + c*u and give c.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.38 - 12.28. Let k = -7.7 - -7. Which is the nearest to y? (a) k (b) 0.3 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 1, h: 2, x: 1, d: 1, w: 1}. What is prob of picking 1 x and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15887 - -4?\nAnswer: -15883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -409 + 444. Calculate the remainder when g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 593*w**2 - 2*w + 188 wrt w.\nAnswer: 1186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 26928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 618 and 393460.\nAnswer: 1180380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2870 + 1927. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 19 + 2*1*11\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/(7*(-5)\/(-210))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 336.74 + -337. Let v = -293.613 - -294. Let k = y + v. What is k rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - ((0 - (-3 + -7)) + -11 + (3 - -6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = h - 6. Let x = -21 + 1. Let s be (-2)\/x + 1190\/100. What is the greatest common divisor of h and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95266 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2742 rounded to two decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (-1)\/(-16) + (-780806)\/(-416)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 406 and 5628?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2. Suppose 3*m + 6*n - 2*n = 20, -2*m = 4*n - 16. Let b(s) = -3 + 3 + m*s. What is b(t(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22542 and 198543?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*j**2 + 9 + 106*j**2 + 32*j**2 - 10 to the form u + m*j + d*j**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -35, 6 in ascending order.\nAnswer: -35, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - sqrt(50)*-2)\/sqrt(10) + (sqrt(5) - 2*sqrt(20)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 1.692?\nAnswer: 0.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/8)*t*t\/(t**1*t))**0\/(t\/(t*t**(-2\/7)\/t*t)*t*t*(t**(2\/21)*t)\/t*t*(t\/(t*t*t**(-1)*t*t*t*t)*t)**(-45)) assuming t is positive.\nAnswer: t**(-2906\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/((-255)\/(-10)))\/(-6).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44584252 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -39*w - 1046. Let z be k(-32). Solve 2 = -z*o + 200*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -676 to the nearest 10.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -0.3, 0.1, -2\/15.\nAnswer: -0.3, -2\/13, -2\/15, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 562, 846, 1132, 1420, 1710, 2002?\nAnswer: 2296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 24. Let k(a) = a**2 - 4. Let v be k(-3). Suppose 5*g = v*y + 130 - 40, 5*g = 4*y + 86. Calculate the greatest common divisor of g and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 2*p + 3. Let j be g(4). Let r = -0.3 + 0.2. What is the nearest to 0 in 0.04, r, j?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 777*w + 1063*w - 2913*w + 1072*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -829.26 to the nearest ten.\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 48.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 62 = -3*d - n, 0 = -2*d - 2*n + 50. Let u = d + -2. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/195*-21 + 5. Let k = -11\/13 + q. Which is the second smallest value? (a) k (b) 4 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 486616280 to the nearest integer?\nAnswer: 22059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 8:38 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*l**3 - 2)*(-1 + 0 - 1)*(-5*l + 2 - 2).\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -855.47 and 1.7.\nAnswer: -853.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 16 = 4*a. Suppose -10*y + 11*y = -2*i + a, -4*y - i = -8. Suppose 0 = y*t - 6, 5*b + t = 2*t + 977. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -610 + -362.\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(-5*w + 3*w + w)*(-7 + 0 - 15 + (2 - 5 + 2)*(2 + 0 + 0) + 4 - 5 + 2).\nAnswer: 23*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100 (base 3) in base 9?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 306346 - 2?\nAnswer: 306344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -15719350?\nAnswer: 11\/15719350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 13*j + 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -214 - -250. Suppose -x*p + 1430 + 658 = 0. Calculate the remainder when p is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5))**(-35)\/((z*z**(2\/7)*z)\/(z\/z**(-6\/7))) assuming z is positive.\nAnswer: z**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/6 (b) 0 (c) -44 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227\/2*(1 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m + 149. What is the remainder when a(-43) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 195 - 183. What is the lowest common multiple of k and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(19))**2*2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81442290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 556 and 22?\nAnswer: 6116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**6\/15 - 189*z**5\/10 - z**4\/12 - 63*z**3\/2 + 477*z. Find the third derivative of h(a) wrt a.\nAnswer: 48*a - 2268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 125405778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = s + s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/13 + 198*f**2\/13 + 372*f\/13 - 1552\/13 = 0. What is f?\nAnswer: -97, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/102 and -46\/21.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**3 - 2169150*q**2 = 0.\nAnswer: 0, 433830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2. Let f(p) be the first derivative of -p**6\/180 + 10*p**3\/3 + 5. Let c(w) be the third derivative of f(w). Determine c(a(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295400877.\nAnswer: 3, 797, 123547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 192*c - 512.\nAnswer: -4*(c - 4)**2*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -79321483.99 plus 1?\nAnswer: -79321482.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**4\/6 - 11*j**3\/6 - 19*j**2. Let h be d(-4). Let c = h - -77. Does 34 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - h - 1 = 0, 2*o - h - 1 = 3*o. Suppose i - 2*v - 10 = v, -4*i + 4*v + 16 = o. Calculate the highest common divisor of 11 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -9. Suppose -7*p - 208*s + 210*s = -76, 4*p - 37 = -s. Which is the smallest value? (a) 0.3 (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 2, y: 4, a: 3, o: 3, f: 6}. Give prob of picking 1 f, 1 t, and 2 a.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 21 = 3*s - 11, -i - 1 = 0. What is the derivative of s*v + v**2 - 10*v + 3 wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176559*a - 176569*a + 353142*a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02005 and -5.\nAnswer: 0.10025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + -2.1. Which is the closest to 5\/2? (a) -3\/7 (b) x (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77935, -311711, -701337, -1246813?\nAnswer: -1948139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0.5, -5, 3, 2\/7 in descending order.\nAnswer: 3, 0.5, 2\/7, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + v + 11. Let h = 6 - 6. Suppose -2*i + 128 = 2*i. What is the remainder when i is divided by j(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 23. Let g = 37 - 11. Suppose 4*u = 3*m - g, 8 = -3*m + 4*m - u. What is the lowest common multiple of r and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10659 or -10656?\nAnswer: -10659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 3 + 3 + 0 - 1 + 2 - 2 - 2 + (3 - 1 + 0)*(2 + 2 - 5) - 3 + 3 + 1)*(2 + 3*p - 2).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 31. Let p be y(10). Are -1\/13 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u - 16. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o. Let q(v) = -9*v**2 - 7 + 7. Give l(q(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-14)\/2)*-111. Let j = l - -14585\/22. What is the common denominator of 83\/16 and j?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 398859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r. Let k(c) be the first derivative of -1 + 0*c - 11\/2*c**2. Determine v(k(y)).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*o - 372, 5*o = -8*a + 9*a + 465. Calculate the greatest common divisor of 124 and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 3*t - 11. Is h(-27) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -26*m + 138. Determine y(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = a - 115757*h + 115753*h, 2*h = a - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, 1\/2, 0.3, -0.1, -10, 5\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as -3\/3574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54 - 80 - -19) + 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, 4\/15, -4, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*z - q, 2*z + 3*q + 18 = 0. Let h = -3 - z. Let w = -1 - h. Is -2\/5 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 14 + 28 + 2 - 1. Let q be w(-19). Suppose 0 = 2*l - a - a - 26, 2*l - q = -5*a. Calculate the remainder when l is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*x - 291, -469 - 124 = 4*c + 5*x. Let v = 39 - c. What are the prime factors of v?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12941, 12698, 12081, 10904, 8981?\n\"Answer: -31*b**3 - b**2 - 23*b + 12996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 33. Let k = 9 - t. Let b = k + 9. Solve 0 = -3*u + 2 - b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Suppose -y*q + p = -9, -2*q + 5*p = 8*p - 6. Suppose q*g - 37 = -10. Solve 0 = -3*v - 4*a + g, 3 + 0 = v - 5*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1541*y - 1774*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/3 - 29942*u**2 - 89820*u = 0.\nAnswer: -44910, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -367 - 29. Let i = 217 - v. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/164*2\/4*(112 + -107)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10\/27 (b) -8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 229.18698 microseconds?\nAnswer: 0.000003819783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 5*u + 104 + 1637*u**3 + u - u - 110 as m*u + j*u**2 + p + v*u**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 266 - 266.0477. Round s to three dps.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {s: 6, j: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00791805 to 4 dps.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 42*l + 89. What is y(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824758 is divided by 237.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**2 - 12*o - 14. Let a be f(10). Let w be 2 - (-2)\/((-4)\/a). Let y = w + 172. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19272231.\nAnswer: 3, 11, 53, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7989.\nAnswer: 3, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174191786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30.5379984 and -1.\nAnswer: 30.5379984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -9. Suppose 5 = -4*b + p. What is the lowest common multiple of (12\/b + 3)*4 and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/864 and 37\/22.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196715 + 1585*w + 1587*w - 196715 - 3174*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**4\/38 + 5*j**3\/57 + 2*j**2\/19 - j + 4. Factor g(r).\nAnswer: 2*(r + 1)*(3*r + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189945968820+0.3\nAnswer: -189945968819.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0773 - 0.0327. What is the second smallest value in -2\/7, 3, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13307199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, b: 1, y: 5, x: 3, u: 1}. What is prob of sequence yb?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17523 + -17521. Let t = 1 + -1.1. Put z, t, 14 in increasing order.\nAnswer: t, z, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*m + s + 3, -m + 4*s = 16. Let n be 5\/(-10)*0\/m. Suppose n = 32*f - 34*f + 280. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -998884 or -998145?\nAnswer: -998884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.497829 centimeters in nanometers?\nAnswer: 4978290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 + 337446?\nAnswer: 337410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let p(f) = -1167*f**2. Give p(j(w)).\nAnswer: -1167*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2. Let v(h) be the third derivative of 7*h**4\/12 + h**3\/6 + 4*h**2. Calculate v(a(f)).\nAnswer: 14*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6492062580 to the nearest integer?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2507 and 65945?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -1 + 6 + 2. Let m(a) = -3*a + 1 + 3*a + n*a - 3*a. Let v(d) = 3*d. Let q be v(-2). Give m(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1302, -5178, -11642, -20694, -32334, -46562, -63378?\nAnswer: -82782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*o - 165324 - 13876 = 0. Calculate the greatest common factor of o and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-3))\/(125\/(-50)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 99624 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*m**2 - 3 + 4984*m - 9960*m + 4981*m in the form f*m**2 + w*m + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) - 101\/(-4). Suppose -5*r - 2*l + 4*l = -j, l + 17 = 4*r. Let a(b) = 4*b - 1. What is the lowest common multiple of a(3) and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*q**5 + 10*c**2*q - 60*c**2 - 2*c*q + 23314*q**5 wrt q?\nAnswer: 20*c**2*q**3 + 466280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 30*t - 8. Determine d(2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k. Let p(v) = -46*v - 3. Give u(p(i)).\nAnswer: 138*i + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 1805 = 10*m. Let x = m - 179. Solve 4*u - 3*u + 10 = 2*b, x*u + 4*b = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -1 (b) 1 (c) -3.7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 22 = d, -4*k + 6 = -d - 8. Solve -4*l = -d*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150594286.\nAnswer: 2, 197, 311, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49\/408 + 4\/51. Let k = -17\/24 - v. Let m be -5 - (-7 + 37)\/(-5). Is m smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (73\/(1679\/276)*(-5)\/(-12))\/(6\/2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.097 - 35.597. Let q = -35.4999426 - o. Round q to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) 3.1 (b) 1\/4 (c) 0.51 (d) 2\/7 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 divided by 472773?\nAnswer: 143\/472773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8087.345g?\nAnswer: 8087345000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -5. Let x(t) = t + 0 - 1 + t**2 + 2. Let r(j) = -9*j**2 - 10*j - 6. Let p(g) = b*x(g) + r(g). Find the second derivative of p(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h. Let s(l) = -1. Let v(x) = -s(x) - w(x). Let c be ((-4)\/(-6))\/(4\/6). Determine v(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 1483366.\nAnswer: 1483363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -111110 (base 2) to base 16\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -13 - (54 + -6 - 28 - (70 + -7))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1612, -1582, -1556, -1534?\n\"Answer: -2*o**2 + 36*o - 1646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from luuliull. Give prob of picking 4 l.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((-50)\/1)\/(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from paoeaevovdvo. What is prob of picking 2 a and 1 v?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-30))\/(232\/(-174)). What is the nearest to v in -3, 29, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - 46. Suppose 3*k + 53 = b. Calculate the lowest common multiple of k\/(-56) + (-3)\/(-4) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15288*r**3 - 497*r - 51315035?\nAnswer: 45864*r**2 - 497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3469915, 6939826, 10409733, 13879636, 17349535, 20819430, 24289321?\nAnswer: 27759208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -3. Let n = 2\/15 + -3\/10. Sort n, t, -3\/5 in decreasing order.\nAnswer: n, -3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.82561 rounded to 3 decimal places?\nAnswer: -0.826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 8. Let g be m\/6 + 1\/6. Let c = g - -12. Calculate the remainder when 30 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 4, m: 1, w: 1, x: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -667364 divided by 5.\nAnswer: -667364\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4575 >= 900993\/197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((0\/(-9))\/12)\/3)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 0*p**2 + 0*p**4 - 25*p - 14\/5*p**5 - 20 + 0*p**3. What is the derivative of c(f) wrt f?\nAnswer: -56*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110 - 101?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5081000 rounded to the nearest one hundred thousand?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546\/13 less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64853 is divided by 64777?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 528*o**3 - 1056*o**3 + 7*o + 530*o**3 + o**2 + o**2 + 16 - 27*o.\nAnswer: 2*(o - 2)*(o - 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 6*h - 4 + 7*h - 4 to g + d*h and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1324705\/13 - -102231. Let t = 95661\/286 - k. Let h = 60 + -1081\/18. Calculate the common denominator of t and h.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - g**3 - 31 - 9*g + 9*g + 22 in the form f*g**3 + z + p*g**2 + k*g and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -825, -1651, -2477, -3303, -4129, -4955?\nAnswer: -5781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 5*v**4\/12 - 5*v**3\/6 - 2*v + 10. Factor w(r).\nAnswer: 5*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16816 is divided by 1212.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -22*h + 18*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10107986 and 284?\nAnswer: 20215972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - n = 4580, 5*n + 6114 = 6*r - 2*r. List the prime factors of -6*7\/(-84)*r.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 + 23 = -3*t. Calculate the remainder when t is divided by (-8)\/(-2) + (-7 - -15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280362794?\nAnswer: 2, 131, 1070087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 43955172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, -2\/317, -19, -5, -2.\nAnswer: -19, -5, -2, -0.1, -2\/317, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -38, -78, -134, -206, -294?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/11)\/z**5*(z\/z**(1\/3))\/z**(2\/25) assuming z is positive.\nAnswer: z**(-3491\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3060 + 2532 = -81*o - 152*o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.69 (b) -22 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4929*c = -280*c - 130172 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 932 and 929 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 1476*n - 1475*n - 6*z, 0 = 2*n + 2*z + 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -4, 2, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 130*a*n*v + 86667*a*n + 13466*a*v + 3*n*v + 761*n wrt v.\nAnswer: 130*a*n + 13466*a + 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 934*b**2. Let a(c) = -5*c - 46*c - 7*c + 60*c. Give y(a(w)).\nAnswer: 3736*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 413 + -733. Let v = o - -515. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*x - 116, -320*x = -318*x + 16. Solve n = 14*d + 158 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 10*f**2 - 3*f + 1. Let x be a(-6). Suppose -14399 = -25*q + 2251. Let l = x + q. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -14. Let f(j) = 73439*j**3 - 8*j**2 - 10*j + 25. Let g be f(r). What is g rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.51 - 25.49. Let d = u - -21. Which is the second smallest value? (a) -2\/9 (b) d (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**3 - 6*g**2 - 5*g + 8. Let z(w) = w**3 + w**2 + w - 1. Let y(t) = n(t) + 6*z(t). Suppose -12 = 4*f, -4 = 5*x - 7*f + 5*f. Calculate y(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/2 + 4\/((-24)\/3). Suppose 114 = 3*f - 3*h, -5*h + 0*h = -4*f + 150. What is the units digit of o\/f - 71\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165 + 162. Put -1, -2, 1, o in decreasing order.\nAnswer: 1, -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8557108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 261\/112999 or -1?\nAnswer: 261\/112999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 + 4 + 5*n**2 - 6 in the form v*n + g + z*n**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -11. Let y = 23 - d. Suppose -y*z + 5*z + 22 = 0. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 11*b**2 + 10.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 185*c + 755. Let u be h(-4). Solve 0 = -12*w + 15*w, -5*y + 2*w + u = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -106?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4864584 and 1768?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 4. Let v be u(-2). Suppose 5*k - 1111 = -j - 2*j, v = -5*j + 5*k + 1785. Differentiate 362*o - j*o + 14*o**2 - 7 with respect to o.\nAnswer: 28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6397378 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/36 and 83\/76.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - u**2 + 5*u + 6. Let t(h) = -2*h**3 - 23*h**2 + 46*h + 52. Let o(d) = d**3 - d**2. Let r(v) = -3*o(v) - t(v). Let a be r(24). What is p(a)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1331*j - 1944*j + 28198 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 13 = -4*m, 7*y = -5*m + 5*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30486*l**3 - 91488*l**3 + 30515*l**3 + 30485*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*((-2)\/(-6) + 0). Let m be (-29536)\/(-294)*-1*(-1)\/(-2396). Let y = m - -2\/1797. Sort 1\/4, q, y in descending order.\nAnswer: q, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 75*p**2\/4 - 198*p + 1701\/4 = 0.\nAnswer: 3, 189\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34281727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**3\/6 + 4*s**2 + 5*s. Let t be c(0). Solve -n = -5*n - t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*t + 33 = -2*w, -5 = t for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and 237.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101200111112 (base 3) in base 14?\nAnswer: 56909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p + p - 2*p + (4*p - 3*p - 3*p)*(-2 + 3 - 4) + (5 - 1 - 2)*(16*p + 20*p - 3*p) as l + k*p and give k.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 10*q - 9. Let p be x(6). Suppose -64 = -19*k + p*k. What is the derivative of 0*s + k - 8*s**3 + 2*s - 2*s wrt s?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 47703.66 years?\nAnswer: 47.70366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -19411?\nAnswer: 77644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(25\/100))\/((-16)\/28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 569 and 17647535.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 129*c + 2713. Let t be o(-21). Solve t*y = 3*n - 22 - 10, -y + 3 = 2*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 - 122 = -5*d. Suppose -2*z + 18 = -4*j, -2*z + d*j + 12 = -0*j. Solve -z*t = -5*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 8 - 21 + 4 + 2*d**3 - 5*d**4 to b*d + w + v*d**3 + h*d**4 + a*d**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2. Let w(d) = -3*d**2 + 4. Let r(z) = -8*z**2 + 11. Let g(s) = -4*r(s) + 11*w(s). Determine g(a(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1324*v = -4*b - 1326*v + 46, -8*v - 40 = 0 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4841*z + 329. Let a(o) = 44*o - 3. Calculate 329*a(m) + 3*r(m).\nAnswer: -47*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 149*f**8\/112 - 27*f**4\/8 - 3*f**2 + 166*f. Find the second derivative of j(n) wrt n.\nAnswer: 8940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u**2 - 2*u**2 - 16*u**2. Let l(t) = -t. Determine l(r(w)).\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 18. Suppose 0 = -5*x + 5*w + 35, x + h = -0*x - 3*w. Solve -i = 3*o + 2, 4*o - 3*o = x*i + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 + y**2 + 1. Let f(r) = 19*r**3 - 5*r**2 + 2*r - 622. What is f(u) + 6*m(u)?\nAnswer: u**3 + u**2 + 2*u - 616","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + 201*r**4 + 0*r**5 - 225*r**4 - r**5 - r**5 + 5*r**5 + (2*r - r - 4*r)*(4*r**4 - 3*r**4 + 2*r**4) + r**5 + 0*r**4 + 0*r**4.\nAnswer: -6*r**5 - 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/6)\/(5\/(-15))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 38.993 (b) -3 (c) 0.5 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + -28 + (23 - 42)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d. Let l be g(-2). Let v(s) = -s**3 + s - 2. Let k be v(-2). Factor -2*j - l*j**2 + k*j - 2*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*v**5 - 32*v**4 + 36*v**3 + 32*v**2 - 16*v = 0. Calculate v.\nAnswer: -2, -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 448 (base 10) to base 13\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40.7, -0.136, 0, -1\/3, 6 in ascending order.\nAnswer: -1\/3, -0.136, 0, 6, 40.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -124 + 97. What is the third smallest value in i, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*s = 19, -4*i + 5*i + 13 = 5*s. Let m be 1 + (-2 + i - -1). Find the second derivative of m*f + 3*f**4 - 4*f - 5*f**4 wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -974 = -12*z - 326. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 4:17 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0, -4091 in increasing order.\nAnswer: -4091, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.31 (b) 1\/4 (c) -5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j + 3 = 0. Let c(m) = 19*m**2 + 2*m + 1. What is the tens digit of c(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*6569.92\nAnswer: -13139.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14791917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -584*u**6 - 55*u**2 - 6?\nAnswer: -70080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert e773 (base 15) to base 5.\nAnswer: 3031213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -191 + 2 + (6 - 8). Let l = x + 199. Solve 0 - 16 = -l*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 2:13 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/3067523 or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408 divided by -37685.\nAnswer: 408\/37685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -4. Let q be 0 - ((-24)\/39)\/n. Is q greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 n, and 2 y when four letters picked without replacement from {x: 1, z: 1, y: 4, s: 1, u: 1, n: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) - 64\/(-24). Calculate the greatest common factor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42853.32563 + -42853. What is k rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*p + 17. Let j = p - -10. Suppose 3*i - 594 + 135 = 0. Calculate the greatest common factor of j and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.3. Let s = 482\/19 - 1484\/57. Which is the third biggest value? (a) -5 (b) f (c) 0.05 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.3 (b) 0.5 (c) -7.9 (d) 0.8 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 0*n**2 + 0*n - 1\/3*n**3 + 90. Let i(m) = m**2. Calculate h(r) - 4*i(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7483 - -7780. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4031440 divided by -10\nAnswer: 403144","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s. Let m(t) be the third derivative of -95*t**4\/24 + 45*t**2. Determine b(m(d)).\nAnswer: -95*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6325*q + 1 + 18199*q - 1 + 8. Let f be m(8). What is f rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284892, 569784, 854676, 1139568, 1424460, 1709352?\nAnswer: 1994244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 8*l - 7. Determine n(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139068 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38284, 0, -1, -3 in descending order.\nAnswer: 0, -1, -3, -38284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 5*m**2 + 3. Give d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -2*k, 8 = -2*k + x + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from zhkkzulhzmuku.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p**2 + 9*p**2 + 0*p**2. Let k(r) = 994*r**2 + 49*r - 20*r - 29*r - 993*r**2. Determine k(m(s)).\nAnswer: 324*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2035306 > -2035306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 - 112. Which is bigger: -64 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 - 142*k + 2621. What are the prime factors of m(90)?\nAnswer: 23, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190383*a**5 + 343908*a**2?\nAnswer: -11422980*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 103.\nAnswer: -4\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 561?\nAnswer: 5\/561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/6 + (-255)\/(-9). Let f = -27 + r. Let y = -8 - -7.8. What is the closest to y in f, -4, -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-5))\/((-24)\/(-15)). Let i be (-120)\/(-18) - 1\/(-3). Let n(p) = p**2 - 7*p - 2. Let m be n(i). Which is the closest to o? (a) m (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 5*v + 16, 0 = r + 4*v + 2 + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**5 + 18*h**4 + 798*h**3 + 6638*h**2 + 21780*h + 25200 = 0.\nAnswer: -6, -5, -3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:25 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxghxvvagvvhgxhhfxg. Give prob of picking 1 f, 1 v, and 1 g.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2. Let y(t) = 4*t**3 + 6*t**2 + 5*t. Let h = 16 - 22. Let q(b) = h*r(b) + y(b). What is the second derivative of q(a) wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99783799.\nAnswer: 211, 472909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.045 (b) -203 (c) 1 (d) 2.2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172569 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130 + -133. Is -46 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 7*l + 9. Let z be y(9). Let a = z - 6. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/19)\/((-1)\/(2\/1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -15, -33, -65, -117?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5948.751 kilograms?\nAnswer: 5948751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1152)*6)\/(-1*sqrt(81) + 2*sqrt(36)\/sqrt(4)).\nAnswer: -96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.25032 - -0.6857?\nAnswer: 11.93602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 321\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -29, -5.\nAnswer: -29, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-110)\/(-66) - ((-29)\/(-3) - 2). Let s(j) = -4*j**2 + 7*j - 5. Let g(n) = 4*n**2 - 8*n + 6. Determine v*s(f) - 5*g(f).\nAnswer: 4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 842 + -1179. Let u = -70 - a. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -257\/29, 409 in descending order.\nAnswer: 409, 0.4, -257\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -40. Suppose 0 = -f + 2, k*j - 4 - 10 = -5*f. Solve -3*n - j*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6768\/1504)\/(2556\/(-16))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 u when four letters picked without replacement from uuvrvrrrdrub?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/101 and 14\/((-448)\/360) + (-2)\/(-4).\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from bzvsztbbzvz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + -25 + -14 + 37 + 12 + 1.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10. Let l(f) be the second derivative of 1\/12*f**4 + 1\/30*f**6 + 0*f**3 + y + 0*f**5 + 0*f**2 - 3*f. Find the third derivative of l(k) wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 0.4, 10, -2\/11 in descending order.\nAnswer: 10, 0.4, -0.08, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/140*4)\/((-10)\/(-10)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 101950*d**3*l**2 - 6*d*l**2 - 7086131*l**2 wrt d.\nAnswer: 305850*d**2*l**2 - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 5\/2, 1576?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22987 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -5\/3 (c) -12 (d) 53243\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 514038145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(84) + sqrt(84) + (sqrt(84) - sqrt(84)*3 - sqrt(84) - sqrt(84)))*-5)\/(sqrt(84)\/(sqrt(1792)\/sqrt(4))).\nAnswer: -400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(818*t + 2*t**2 - 8 - 818*t).\nAnswer: -2*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 691 - -227. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 25.89077 centuries?\nAnswer: 2.589077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 15 = 2*f, f + u = -2*f + 33. Suppose m + f = 5*m. Suppose -m*s = -s. Round s to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**8\/42 - j**5\/60 + 3*j**2. What is the third derivative of o(p) wrt p?\nAnswer: 480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*i + 5, i = -3*i + 4. Suppose -t*p - 10 = -2. What is the units digit of 9*(-1)\/(3\/p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.104 + -0.02. Let l = 2.951 - -0.865. Let p = l + i. What is p rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34782088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {q: 1, a: 1, d: 1, y: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/14 and -27\/496948?\nAnswer: 3478636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23317*n**2 + 18*n - 738853 wrt n.\nAnswer: -46634*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -562 + 361. Let p = v - -210. Let z(l) = -l**2 + 8*l + 13. Give z(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**3 - 26*d**2 + 26*d**2 + 19*d**3 - 11*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + (-11 - (-16 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0927 * -0.08\nAnswer: 0.007416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388 a factor of 142341944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18168 + 18167.99950848. What is t rounded to six decimal places?\nAnswer: -0.000492","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.4 - 16. What is the nearest to 0.2 in w, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 1:37 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/16)\/1*180\/35.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 223851731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/4 of a millennium in decades?\nAnswer: 2325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77.961 + 0.461. Let j = -78 - l. Which is the closest to 1\/2? (a) 0.3 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*4\/6 - -17. Suppose -l = 2*d - 5*d. Let -2*y**3 + d*y**3 + 1 - 2*y**3 - y**2 - y = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 3:48 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1635625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7064454360 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5 + 0 + 3). Let h be (-14 - -5)*b\/3. Factor -2*w + w**2 + 3*w**2 - h*w**2 + 0*w**2 + 1.\nAnswer: (w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176599140 and 24.\nAnswer: 353198280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 905*t - 4851*t - 6501*t as i*t + j and give i.\nAnswer: -10447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6688740 divided by 1672185.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 4*i**2 + i**2 + i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 159499577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 - 3*a**2 + 3*a**2 to n*a + o*a**2 + g and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-4)\/(-3)) + 3 + -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -140 - 115 + 347 - 139 - 3*i. Calculate f(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10971 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -566 - -566. Solve 2*w + 0*w + 4*w = a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 9}. What is prob of sequence rr?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -165102*r + 1155752. Determine f(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 5, 37?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.05 + 1.01. Let c = g + -6. Let t = -1.94 - c. Which is smaller: t or -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -6. Let p = 9 + l. Which is the nearest to 0? (a) 5 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 54224877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33026 and 1960.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 8*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -15769*y - 1245779. Calculate s(-79).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {p: 1, l: 1, n: 1, e: 6, q: 1, t: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwwwllllwkllwkkwl. What is prob of sequence lw?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rryyryj. Give prob of sequence rj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvpppbpbbpbpvpbrbrba. Give prob of picking 1 b and 1 r.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 24 + 33 - 22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 7*h**2\/2 - 2*h + 1. Let k be m(1). Which is the third biggest value? (a) 3\/5 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t - 185 = 14*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thqqhphhhhhhhpqqhhhp. What is prob of picking 3 p and 1 q?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 29915757 = -28684455. Let b = t + 75133420. Suppose 3*m - b = 4*s - m, -4*m = 2*s + 27799984. What is s rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*z - 2*z + z)*(-z**2 + z**2 - 2*z**4) - 64*z**5 - 98*z**4 + 98*z**4)*((2 - 4 + 4)*(1 + 6 - 5) + 5 + 2 - 2 + (-3 + 4 + 0)*(-3 + 2 + 2) + 3 - 3 + 2).\nAnswer: -744*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 times -0.3?\nAnswer: 32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*z + 16 - 100, 3*g - 63 = -z. Suppose v = -6 + 14. What is the remainder when g is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 541322 - 399?\nAnswer: 540923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 3*u + 15 + 22, 0 = 2*u + 22 - 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21754, 21727, 21682, 21619, 21538?\nAnswer: 21439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2711290?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 101.29 and -36?\nAnswer: -3646.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 334 = 10*d. Suppose -3*v + d = -136. Suppose i = -3*l + v, -6*i + 50 = 2*l - i. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56bf6 (base 16) to base 11\nAnswer: 222a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 23*k + 30. Let l be ((-14)\/6)\/((-14)\/(-126)). Let i be p(l). Let z = i - -35. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 17*n + 3*n in the form u*n + w and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 - 34*i + 93. Let n be l(5). Which is the nearest to n? (a) 1\/4 (b) 8\/45 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 2*m**3\/21 + 64*m**2\/7 + 696*m\/7 + 8728. Suppose h(n) = 0. What is n?\nAnswer: -58, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135350030.\nAnswer: 2, 5, 31, 73, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 842 = -4*a + 3110. Let c = 763 - a. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5083, 5083, 5087, 5095, 5107?\n\"Answer: 2*a**2 - 6*a + 5087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**2*v**5 + 6*j**2*v**2 + 448*j**2*v + 8895*v**6 wrt v?\nAnswer: 60*j**2*v**2 + 1067400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -5.68. Let o = 0.02 - a. Let z be ((-15)\/9)\/(2\/6). What is the closest to -1\/2 in z, o, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (25\/(-1))\/(-5) + -2 + 3 and 46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1103, -2208, -3335, -4496, -5703?\n\"Answer: -2*a**3 + a**2 - 1094*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*o + 65*o + 10 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 7*l - 5. Let t be w(-2). Suppose 2*v - 33 = -v. What is the highest common factor of t and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 17335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1184*d**3 - 7 + d**4 + 1184*d**3 - 1629 - 866*d wrt d.\nAnswer: 4*d**3 - 866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**4 + 61*l**3 + 384*l**2 + 324*l = 0.\nAnswer: -54, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 3) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101\/2 + 1115\/22. Let x be 4335\/2601 - (-2)\/((-132)\/74). Find f, given that -t*f + x*f**2 + 0 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1057, -2048, -2989, -3874, -4697, -5452?\n\"Answer: g**3 + 19*g**2 - 1055*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + (4 - 11) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 69. Let q(s) = 4039230*s. Determine r(q(c)).\nAnswer: 8078460*c - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 0.5, -4, -0.5, 27, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -70e36 + 26?\nAnswer: -70e10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -78 (b) 0.22 (c) -0.4 (d) -5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*c + 5*p, 2*c + 2*p + 4 = -3*c. Suppose -5*o + 1 = -t - 2*t, 5*o + t - 13 = 0. Solve c = 2*b + o*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239677*m**3 - m**2 - 165*m + m**2 - 239660*m**3.\nAnswer: 17*m**3 - 165*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -31210100223 (base 4) in base 14?\nAnswer: -6880c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 25545022?\nAnswer: -25545014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(1*sqrt(96) - sqrt(96)))\/(sqrt(8) + (sqrt(8) - sqrt(288)*1) - sqrt(8)))\/((sqrt(66)*-4 - sqrt(66) - sqrt(66))\/sqrt(11) - -6*sqrt(54)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18543, 18529, 18515?\nAnswer: 18501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4666861 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/(-95)*120\/32*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17913 (base 13) in base 5?\nAnswer: 2423402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 + 60\/(-14) + (-14)\/(-49). Suppose -c + 4*c = h, -4*v + 30 = 5*c. Find the third derivative of -44*y**2 - 32*y**5 + 51*y**5 - 51*y**v wrt y.\nAnswer: -1920*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -387 equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1925 divided by 385.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2454104651*q**3 - 3 + 2454104639*q**3.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -378, -381, -384, -387?\n\"Answer: -3*b - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmhmm. Give prob of sequence hmmh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - f = -4*f - 31, 0 = -3*h - 3*f - 21. Let g(v) = -21*v - 101. Let t be g(-5). Suppose -16*r = -0*r - t*r. Put r, h, 1 in descending order.\nAnswer: 1, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 + 6?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 40 = 3*l - 53, 0 = -5*f + 3*l + 163. Suppose f = 2*o - r - 8, 49 = 3*o + 4*r. What is the remainder when 56 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7656)\/435 + 17)*(-1490)\/84 + -11.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 70677530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4388922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/6 + (-4)\/2. Suppose k = 4*x - 11, -2*k - 6 - 4 = -4*x. Let d be 4\/(-18) + 0\/(-2). Sort x, w, d in increasing order.\nAnswer: d, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -5*r**6\/6 + 3*r**2 + 5. Find the second derivative of y(f) wrt f.\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26770091.\nAnswer: 23, 1061, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161 by 5.\nAnswer: -161\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 139*y**5 + 8*y**3 + 3*y + 16. Let w(z) = 140*z**5 + 6*z**3 + 2*z + 17. Let d(l) = -3*u(l) + 4*w(l). What is the second derivative of d(p) wrt p?\nAnswer: 2860*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 755*t - 8 + 8 - 5564*t - 426*t to c*t + l and give c.\nAnswer: -5235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 4 - 4)*(-r + r + r) + (-3*r + 6*r + r)*(-r**2 + 4*r**2 - r**2).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194678*x**2 + 389386*x**2 - 194673*x**2.\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**4*x**3 - 373*r**3*x**2 - 3*r**2*x + 78*r + 2*x**3 wrt r.\nAnswer: 48*r*x**3 - 2238*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 43*j - 198. What is the remainder when 306 is divided by h(37)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4254931, -8509848, -12764765?\nAnswer: -17019682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o - v - 39, 0 = -2*o + v - 15. Let z = 31 + o. Calculate the greatest common divisor of 143 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 23*o - 5*r + 125 = 0, -3*o + 3*r = -81. Suppose 40 = 7*u + o. Solve 0*y - i = u*y - 8, 4*i = -5*y + 23 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - q**2 + q + 1. Let m(t) = t + 7. Let x be m(-8). Let o be k(x). Solve 5*a - 4*a + 2 = o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 6*j**2 - 3908*j**3 - 3*j**2.\nAnswer: -3908*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 22 + -18 + (-8 - -1) + -26?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 6, -2 in descending order.\nAnswer: 6, 0.13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i**(-1)\/i))\/i))**4\/((i**(-12)*i*i)\/i*i**(-1)\/i) assuming i is positive.\nAnswer: i**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 732*o - 60*o + 176*o - 128*o as p*o + k and give p.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/20 + p**2 + 2*p. Let f be j(0). Solve 7 = -5*a - k - 5, -3*a = f*k + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 13) to base 9\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -6. Put u, -1, -4 in ascending order.\nAnswer: -4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0*f**3 + 0*f + 1\/12*f**5 + 0 + 0*f**4 - 1\/24*f**6 - 2*f**2. What is the third derivative of l(b) wrt b?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 17 - 203. Suppose 0 = 3*n - t + 5. Suppose 0 = j - 7 - n. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81031*u**3 - 27574*u.\nAnswer: 486186*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 z when three letters picked without replacement from zzczddzzzz?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2369, 2378, 2387, 2396, 2405, 2414?\nAnswer: 2423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -432 in -10.51, -1\/6, 82, 2\/3?\nAnswer: -10.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9405 or -9406?\nAnswer: -9405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uggymid. Give prob of sequence mui.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**3 - 4*m**2 + 5*m**3 - 1 + 2*m**2 + 2 - m. Let f be p(-2). Solve f = 2*l - 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12))**12 assuming h is positive.\nAnswer: h**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b + 15. Let f(a) = 3*a - 10. Let r(y) = -7*f(y) - 5*n(y). Let j be 0 - (1 + 1 + -5). Let g be (-2)\/j - (-20)\/(-6). Calculate r(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 + x + 3. Let c = 59 + -62. What is n(c)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164 + -163.99999689. What is p rounded to 7 dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101010110110001001010 (base 2) to base 5\nAnswer: -324411403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3871?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 473*v + 3172. List the prime factors of g(11).\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 3 + (-35 - -30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2168763, -4337329, -6505895, -8674461, -10843027?\n\"Answer: -2168566*t - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-12 + 0)*4\/(-16). Let w = -900\/3199 - 2\/457. Sort -3, w, o in decreasing order.\nAnswer: w, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-11609)\/235)\/(1\/(-5)). Suppose -2*h + 10*d + 238 = 8*d, -2*h - d + r = 0. What are the prime factors of h?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1126 and 1345007?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -114616400\nAnswer: 11461640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6286 + 4.3714. Which is the closest to -0.1? (a) -11 (b) -5\/6 (c) x (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 22, -687 in descending order.\nAnswer: 22, 5, -687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**2 - 7*o**2 - 127 + 5*o**2 to a + b*o + r*o**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 2:24 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqwq when four letters picked without replacement from dqqqqddddqdqdqwqdqd?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 206.5 (b) 15 (c) 0.5 (d) -0.3 (e) -3\/5 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -27, 4.\nAnswer: -27, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19\/9 - -20\/9. Let v be (7\/(-1176)*16)\/((-3)\/7). Factor -v*c**3 + 0*c**2 + 2\/9*c + 1\/9 - z*c**4.\nAnswer: -(c - 1)*(c + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uun when three letters picked without replacement from ufffeuntnn?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 3:42 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6684773 (base 9) to base 11\nAnswer: -2038a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 2\/9) + 3. Suppose -13 = 5*q - x, x - 5 = q - 0*x. Which is the nearest to 0? (a) 3\/7 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h**2*p**3 - 2*h**2*p + 5*h*p + 2*p**3 - 3*p wrt h.\nAnswer: 16*p**3 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 13*m**2 - 1. Let d be w(-13). Is (d*1 - 0)\/((-16)\/6352) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 323*a - 69428. What is u(215)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l + 8. Let p be f(6). Let d = 8 + 6. List the prime factors of p\/d - 7760\/(-112).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 4*n - 3*n)*(-n + n - n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037409553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 51*b**2 + 27*b - 691. What is the thousands digit of u(52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -427341 (base 8) to base 5\nAnswer: -14034243","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 73*f - 10. Is m(2) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, o: 1, r: 1, e: 2, z: 2}. Give prob of sequence euor.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 59 in descending order.\nAnswer: 59, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 909.4513l in millilitres?\nAnswer: 909451.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 2*w**7\/21 + 4*w**6\/15 - 3*w**5\/5 - 4*w**4\/3 + 8*w**3\/3 - 9*w - 2. Suppose q(y) = 0. Calculate y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*t - 40 = r, -5*r + t + 30 = 0. What is the greatest common divisor of 35 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/(2\/15). Suppose 5*v - 36 = s - b*s, -16 = -5*s + v. Suppose 0*p = s*p - 220. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 11*s**2 - 13*s + 16. Determine d(-12).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -1\/12*h**4 - h**3 - 3*h + 0 + 3*h**2. Give v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653831 at most as big as 653870?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(10\/(-40) + 6\/(-8)). What is the nearest to x in -2\/7, 5\/8, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c**3 - 263*c**2 - 332*c - 9. Give u(39).\nAnswer: 2253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 1710.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1776.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b**10*b*b)*b**5)**(-48) assuming b is positive.\nAnswer: b**384","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**3 - 2 + 3*o - o**2 + 1\/4*o**4. What is r(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o**2 + 5*o - 14. Calculate the lowest common multiple of 40 and w(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 543008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 11. Let m(h) = 1. Let x(k) = -2*m(k) + y(k). Let l be x(-9). Which is the nearest to l? (a) -5 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3))**(5\/11)\/(u\/((u\/(u*u\/(u\/u**(1\/4))))\/u))**(1\/2) assuming u is positive.\nAnswer: u**(-257\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 8 + 102. Let s = 464\/21 + d. Which is the smallest value? (a) 0.5 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*u - 22 = 2, -3 = 3*p - 4*u. What is the closest to 0.2 in p, -4, -2\/15, 0.8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 11. Let j be b(4). Suppose -j = v, 5*v + 2107 = 4*g + 6*v. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -14\/9 (c) -1\/10 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06458538 + -0.0646. What is t rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2721, 10835, 24297, 43065, 67097, 96351, 130785?\n\"Answer: -7*q**3 + 2716*q**2 + 15*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and -971.5.\nAnswer: -68.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -951188993\/3214680 - -183350\/623. Let f = k + -26\/215. Find the common denominator of f and (-2)\/(-18)*(-174)\/(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 452197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -45\/14 (c) 0.5 (d) -3\/11 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30584 + 1887. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9370\/(-585625) - 538\/(-2375).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 898*o - 3859*o + 802*o - 593*o - 5500*o as s*o + q and give s.\nAnswer: -8252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46.357 or -9\/49?\nAnswer: 46.357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/3, 4, 2\/9, 9.4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/8091 and -79\/3596?\nAnswer: 32364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*t**5 + t**4 - 6494*t**3 + 1565046*t wrt t.\nAnswer: -720*t**3 + 12*t**2 - 38964*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 3*p + p)*(-5*p**3 + 0*p**3 + 4*p**3) - p**4 + 2*p**4 - 5*p**4.\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) - -2*(-1*sqrt(200))**2) + sqrt(200))*4 - -6*(-5 + (sqrt(200) - (sqrt(200) + -2)) + sqrt(200))**2) + -4.\nAnswer: -280*sqrt(2) + 2850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -0.015, 0, 5 in increasing order.\nAnswer: -1\/7, -0.015, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 44 = -1594. What is the greatest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97 and 26093?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 952435.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-4) - 5*2. Let b = t + 9. Suppose 0 = 7*o - 5*o. Is b at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -146948 at most -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -5*b**6\/3 - 83*b**5\/10 - 55*b**4\/4 - 47*b**3\/6 + b**2 + 2*b + 7. Find w such that y(w) = 0.\nAnswer: -2, -1, -2\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2159862899 from 231.\nAnswer: 2159863130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 11:12 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.426805 millennia to decades.\nAnswer: 42.6805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75191029 or 75191030?\nAnswer: 75191029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 11. Let m = 16 - 27. Let f be s(m). Which is greater: f or 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12599*q = 12736*q + 959 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -4*k + 481. Calculate the least common multiple of k and 4.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 53 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -7*p - 68, -4*p + 1 + 15 = 4*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13787*b - 25*b**2 + 13787*b.\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1596 is divided by 690.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00074474 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**3 + 30*o**2 + 3. Determine y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 9. Suppose 3*f - 12 + k = 0. Solve q = 0, 2*g - q = -2 - f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 4*s + 3 + 11*s)*(-s + s - 3*s) in the form p*s + l*s**2 + m and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*a**2 + 48*a**2 + 49*a**2 + 1212392*a**3.\nAnswer: 1212392*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 361618 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 7*p - 9. Solve -j = -3*v, -3*j + 11 = -v + p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vshssshwvwss. Give prob of picking 1 h and 2 w.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.779814 + -6.12397. Let u = 1.19415 + o. Let d = -0.15 - u. What is d rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-8 + (-9 - -9))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -378 or -8?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 + 136 + -75 + 33?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 9. Let i = -1437\/40 - -174\/5. Which is smaller: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24621 (base 8) to base 9\nAnswer: 15533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*v - 2*v + 20, p - 3*v + 21 = 0. Let c be (-186)\/p - 1\/(-4). What is the lowest common multiple of 3 and 21\/6*-1*c\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 2*p - 11*p + 103 + 15*p - 50.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15 - ((3 - -4) + -2 + 3) - 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -29) + -26 + -15 + 2 + -3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-72)*-3*6\/28\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (12 - 4) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(6)\/sqrt(3)*1) + -5 + 1 + sqrt(200).\nAnswer: -4 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.22 rounded to 1 dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/1386 and 73\/4620.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + o + 7 = 5*o, -2 = o. Solve -4*z - q = -0*z, -p*z = -3*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15326526 rounded to the nearest 10000?\nAnswer: -15330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(180) + (sqrt(180)*1 - sqrt(180)) + 4)**2*-4.\nAnswer: -784 - 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 370 - 74 = 0. Let a = -71 - r. Suppose 5*m - 4*n - 9877 = 0, -a*n + 3934 = 2*m + n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -1102?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/541373 and -57\/7579222?\nAnswer: 7579222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146716, 146718, 146720, 146722?\nAnswer: 146724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10*l**2. Let i(k) = -20*k**2. Give o(i(s)).\nAnswer: -4000*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/32241763 or 3?\nAnswer: -2\/32241763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-9))\/((-2)\/42). Let u = x - -38. What is the highest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115731.\nAnswer: 3, 7, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 53\/4 of a second?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 12*q**2 - q - 9. Let j be k(12). Let c = j + 21. Suppose c = -2*m - 4 + 2. Is -2 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1316 - -0.7484. What is the second smallest value in 3, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 137947506 or 137947503?\nAnswer: 137947506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-14))\/(-2) - (104\/140)\/((-73)\/(-2190))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.57768055 - 25.42231934. Let k = z + 28. Round k to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 66, 77, 88, 99?\n\"Answer: 11*o + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 172357.\nAnswer: 11\/172357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 448?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2. Suppose -40 = -3*a - 4*p, 0*a - 2*a = 4*p - 28. Let d = a - 7. Let o(q) = -q - 5 + d. Give j(o(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17866023?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*f + 47, 55 = 5*h - 2*f - 112. Suppose 402 + 258 = 3*l. Calculate the remainder when h is divided by l\/18 + 6\/(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 529657 or 529918?\nAnswer: 529918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -61b (base 12) in base 6?\nAnswer: -4035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36090835 + -456995.\nAnswer: -36547830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**3*z**2 + 3909*r**3*z - 161*r*z**2 - 6*r*z + 4 wrt r?\nAnswer: 18*r*z**2 + 23454*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y = 6*y - 6786. Let g = 373 + y. Which is the closest to 0.1? (a) 12 (b) -3 (c) g (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*n + 2*n + 0*n)*(0*n - 2*n + 6*n) + (2*n + 0*n - 7*n)*(3*n + 2*n - 4*n) - 6*n**2 + 4*n**2 + 0*n**2 in the form i + d*n**2 + g*n and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1920*y**3 - 1230 wrt y?\nAnswer: -5760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.096284 to 3 dps.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8207 and 580?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7685 - -7689. Solve 0 = 5*b - 7*k + 8*k - 15, -2*b - d*k - 12 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 28*d**2 + 191*d + 52. Give r(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25659.135 months in millennia?\nAnswer: 2.13826125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -20, -1\/3 in descending order.\nAnswer: -1\/3, -1\/2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.91 + -0.09. Let v(j) = -j**3 + 8*j**2 - 11*j + 4. Let m be v(6). What is the third smallest value in 0, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2. Let j(n) = -7*n**2. Let h(g) = -g**2. Let p(c) = 5*h(c) - j(c). Calculate p(b(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -283838?\nAnswer: -283838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 3)*(-2 + 1). Suppose 22 = 5*i + 7. Solve -y*m = -0*m + i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -692400 divided by 4\nAnswer: -173100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*2\/(-16)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -36. Which is smaller: j or 34?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -23.30527\nAnswer: -116.52635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(2 + 0) + 0. Let n = -4 - x. Suppose -2*q = -q + n, -4*q - 57 = -3*h. Calculate the highest common divisor of h and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -1087, 3\/5 in decreasing order.\nAnswer: 3\/5, -0.04, -1087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101.5973 - -101.7. Let b = 49.1973 + y. Round b to zero dps.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -110*q - 62. Calculate i(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p - 700. Let b be p\/16 - 1\/(-4). Suppose -r = 5*l - 366, 2*l + 5*r = 84 + b. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g - 2*g + g)*(1 + 0 + 0) - 3*g + 0*g - g)*(10*g + 6*g - 4*g).\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1388 + -1388. Let i(t) be the second derivative of 0*t**2 + 1\/10*t**5 - 1\/15*t**6 - 1\/21*t**7 + 23*t + 1\/6*t**4 + 0*t**3 + l. Factor i(v).\nAnswer: -2*v**2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2306601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3085098265\/7947 + 222567\/883. Let n = -389989 - h. Let a = -2028 - n. Calculate the common denominator of a and -45\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + (0 - (-1 - -4)). Factor -2*c**3 + 0*c + o*c**2 + 4*c**3 + 0*c.\nAnswer: 2*c**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -1\/18*b**4 + 0 + 1\/180*b**5 + 0*b + 0*b**3 - 8*b**2. Factor p(j).\nAnswer: j*(j - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 - -140243?\nAnswer: 140215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p + 1. Let u be v(-1). Let l be 2 - (9 + (-2 - -2)). Let m = l + u. What is the lowest common multiple of m and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96686184 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - -42) + 7 + 0 + -2 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 210 = 72. Let m = 89 + g. List the prime factors of m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 1 - 1)*((2*w**3 - 4*w**3 + 0*w**3)*(-3 + 3 - 2)*(44 - 16*w - 44) + 0 + 0 - 2*w**4 + (3*w**3 + w - w)*(6*w - 5*w - 3*w) - 4*w**4 + 3*w**4 + 0*w**4).\nAnswer: -657*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**4\/3 - 4*a**3 - 2*a**2 + 52*a\/3 + 16 = 0.\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from pqqqqqqqpq.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26508 is divided by 5301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 856582396?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 862986731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25190, -2\/9, -13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 40*p - 25. Is 4 a factor of v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = z + 20. Let r = 3 + z. Let n = r - -51. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwtwxgrwgggtg. Give prob of sequence tr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i + 80. Let w(o) = -6*o. Give b(w(f)).\nAnswer: -48*f + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -148212899 rounded to the nearest 100000?\nAnswer: -148200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d**(-32)*d))\/d)\/d)\/d*d**1)**(2\/13) assuming d is positive.\nAnswer: d**(60\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11801 or 13370?\nAnswer: 11801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.32492 + -0.62492. Let w be 10 + ((-2)\/(-1))\/(-1). Let b be 93\/(-12) + (-2)\/w. Put -0.1, f, b in descending order.\nAnswer: -0.1, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 14*b**2 + 22*b - 112. Let h be z(-11). Calculate the greatest common factor of 1362 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**2 - 3*l. Let n(y) = 42*y - 62*y**2 + 136*y**2 - 73*y**2 + 127. Let u be n(-3). Let z(x) = 10*x**2 + 5*x. Give u*a(r) + 6*z(r).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 1. Let j be f(3). Let q be ((-1)\/j)\/(5\/(-30)). Solve q*r + 4*y = 3*y + 10, 28 = 5*r - 4*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1728\/63 + 8\/14 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -4.05?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwr when three letters picked without replacement from {q: 2, t: 2, w: 1, r: 2, j: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 14. Let s(r) = 2*r**4 + 4*r**3 + r. Let b(x) = -2*x**4 - 5*x**3 - 2*x. Let v(o) = q*b(o) + 5*s(o). What is the second derivative of v(g) wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242762?\nAnswer: 2, 13, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007506989 rounded to six dps?\nAnswer: 0.007507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + sqrt(44) + sqrt(352)\/(sqrt(24)\/sqrt(3)))*-1)\/(sqrt(400) - ((sqrt(400) - -2*sqrt(400))*-3 - sqrt(400))).\nAnswer: -3*sqrt(11)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/56)\/(((-36)\/(-21))\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 203, -17, 9, -5, 1, -2 in increasing order.\nAnswer: -17, -5, -2, 1, 9, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 1249*w**2 - 89*w + 99. Is l(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*y + y**2 + 7*y + 2 + 22*y - 4*y**3 as x*y**2 + g + q*y + r*y**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.12? (a) 3\/5 (b) -1\/26 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(1 + 1)\/2. What is the second derivative of -j**5 - 4*j**5 + 7*j + 23*j - j**b wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 10, 2*r + 2*r - f = 1545. Let w = -227 + r. Suppose w = o + o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zccmcmccrcrrzmz. Give prob of picking 1 c and 3 z.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 a, 1 c, and 1 y when four letters picked without replacement from {m: 1, u: 1, b: 2, c: 1, y: 2, a: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (97 + 17*i - 97)*((2 - 3 + 2)*(1 + 1 - 3) - 1 + 0 + 3)*(-7*i - 4*i + 12*i) to the form y + v*i**2 + a*i and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 13*h + 19. Let g be l(-12). Suppose -14 = -2*n - 0*y - 5*y, -4 = 3*n - 5*y. Solve 5*k + g = n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.1386059 to 1 decimal place.\nAnswer: -26.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 50608?\nAnswer: 50604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 834550 bigger than 834549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1265, -2044, -2823?\nAnswer: -3602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n**2 + 11*n**2 + 0*n**2 + 5*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 13, l: 5}. Give prob of picking 4 l.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 220 - -141. Suppose 3840 + g = h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-108)\/6)\/9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 338*i**2 + 25*i - 137. List the prime factors of r(-6).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-319)\/33 + 10)\/(-1*1\/3). Sort 43, 2, u in ascending order.\nAnswer: u, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Suppose r*j - 8 = j. Let n(c) = -c**3 + 4*c**2 - c - 2. Calculate n(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and 850?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25242479 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23849929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/5, -5.5, 1\/2?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2, -3*j + 7 = -6*n + 2*n. Suppose 4*p - j = 3. Suppose -4 + p = d - q, 3*q - 22 = -5*d. Solve 6 = o + 2*o, -x - 2 = -d*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - 75. Is k not equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43240.77 rounded to the nearest 10?\nAnswer: 43240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**6\/120 + 2*o**5\/15 + o**4\/12 - 2*o**3 + o**2. Let r be p(8). Suppose r*g - 4 = 12. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((0 - 1)\/3). Suppose g + v = t, 3*g - 3 = t - 4*t. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 49, 80, 127, 196, 293?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 + i - i)*(2 - 7 - 12 - i).\nAnswer: 5*i**3 + 85*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1312 + -2?\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 3*v**2 + 2*v**2)*(0 + 1 - 3)*(-3*v**2 + 4*v - 4*v).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13373 and 3999?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -21 - 2*k + 4\/7*k**3 - 3\/2*k**2 - 1\/28*k**4. Factor u(d).\nAnswer: -3*(d - 7)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 + 38*l - 22. Let b be n(12). What is the derivative of -45*o**3 - 6*o**2 + 0*o**b + 6*o**2 - 49 wrt o?\nAnswer: -135*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**4\/12 + 4*o**3\/3 - 5*o**2\/2 + 2*o. Let a be c(7). Factor -a*i**2 + 2*i + i**2 - i.\nAnswer: -i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**4 + p**2. Let a(f) = 2 + 0*f**3 + 0*f**3 - 2*f**4 - 8*f**2. Let x(b) = 7*b + 10. Let m be x(-2). Let k(h) = m*g(h) - a(h). Factor k(j).\nAnswer: -2*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 4*l + 2. Let a be i(-4). Suppose 479*s - 471*s = 32. Suppose -s*m = 2*n - 6 + 2, -3*m + 3 = -4*n. Solve a*d + 8 = -n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 - 83 - g)*(2 - 9 + 1).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a410 (base 11) in base 8?\nAnswer: -377565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 15, -4*k + 0*j = j - 7. Solve -21 = -2*l - 4*a + k, 4*l - 4 = 3*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 10*o**2 + 10*o - 10. Calculate c(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.5521 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*z + z + z)*(5 - 1 - 3) + 77*z - 135*z + 102*z)*(-2*z - 4*z + 4*z).\nAnswer: -92*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/11 >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*h**6 - 25930756*h**3*t**2 - 17041*h**2*t**2 + 3*h*t**2 - 13*h*t + h + 2*t**2 - 1 wrt h?\nAnswer: -600*h**3 - 155584536*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 181 and -4.5.\nAnswer: 176.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/(156\/(-2288))*6237\/(-1089)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 14*d + 13*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -11, 193, 16, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4358 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = -0*u. Suppose 2*g + 2*g + u = 0. Is g < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 42*g + 6. Let i(r) = r + 2. Give 9*i(m) - 3*o(m).\nAnswer: -117*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 18. Let y = g + 7. Solve 4*q + 22 = -2*o - 3*o, 2*q - 2 = y*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((230\/(-322))\/(16\/(-84)))\/((-6)\/8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -4. Let x = 7 - b. Let k = x + -4. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 m when three letters picked without replacement from {f: 2, m: 2, n: 1, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 + 2*z + 1. Suppose -3*b + 4 = l, -2*b = l + 2 - 4. Let c be (9\/l + 4)*2. Determine v(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 12:29 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -20. Calculate the remainder when 41 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*x**3 + 11*x**3 + 59*x**3 + 108114162*x - 108114162*x.\nAnswer: 107*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18404.17 kilograms to nanograms.\nAnswer: 18404170000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + -2 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) 2 (c) 12 (d) 0.2 (e) -3\/2 (f) -218620\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d. Let l(c) be the second derivative of c**3\/3 + 5*c. Determine v(l(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-4)*(-48)\/(-200)*5\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 129959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4611 = 3*h + 3*d, -h + 1536 = 2*d. Let k = 4234 + -2926. Suppose n = -k - h. What is n rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21053861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 7. Let z = 0.7 - 2.66. Let p = 0.04 - z. What is the third smallest value in c, p, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 5290.\nAnswer: 58190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 10*j + 135. Let f be q(-13). Find the common denominator of 4\/(-120)*173 + (-2)\/f and -73\/148.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 5*s**2. Let r be l(-5). Which is smaller: r or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o + 4 - 14 + 10.\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71750 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 32*a - 6. Let s(i) = -i**3 - 9*i**2 + 129*i - 22. Let q(g) = -9*h(g) + 2*s(g). What is the first derivative of q(r) wrt r?\nAnswer: -6*r**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -13. Calculate the highest common factor of 9 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*h**2 + 51822*h - 51822*h + h**3.\nAnswer: h**2*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 6799 + 401 = 0. Let w = j - 296. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -17*y**2 - 697*y + 2. Calculate t(-41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o - 5. Let q be 4\/2 - o*3. Let h = 1314\/7 - 188. Is q > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v - 40. Let w(r) = 7*r + 40. Let q(a) = -6*s(a) - 5*w(a). Suppose 0 = -137*d + 135*d. List the prime factors of q(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and ((-1 + 4)*-1 - -1) + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1346462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/9))**39)**(-5\/9)\/((b*b**(1\/4)*b)**(5\/4)*b\/((b\/b**1)\/b)*b*b**(1\/4)) assuming b is positive.\nAnswer: b**(-539\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1738830.429 milliseconds?\nAnswer: 0.0028750503125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1803623 and -9\/545?\nAnswer: 9018115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4106 + 752 = -4*h, 6 = -2*n. What is the greatest common factor of 93 and h?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9300?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0 (c) 5 (d) 0.5 (e) 0.85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 406 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 3. Let d be (4\/6)\/(2\/(-3)). Is a\/((-32)\/(-34) + d) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/1575221 and -1\/11?\nAnswer: 17327431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(-1*sqrt(8)) + 3*(sqrt(11) + 3 + sqrt(11)) + (6*2*sqrt(88))\/sqrt(8) + -3 + 5)**2.\nAnswer: 374*sqrt(11) + 3300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1326 and -1\/187.\nAnswer: 14586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.56962813 to two decimal places.\nAnswer: 18.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - -2 - (-230)\/(-90)) + 6919097\/171?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 119690350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -64. Suppose -v*j + 11 = 2*y, -2*j - 3 = -y - j. Solve -a + 0*o + y = -3*o, -2*a + 4*o = -6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2. Let r(d) be the second derivative of -3*d**4\/4 + d**3\/6 - 2*d. Let s be ((-5)\/3)\/(3\/9). Let h(m) = s*n(m) - r(m). Give h(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -6 - (5 - (-1 - -5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 75 - 547 = 0. Let p be (31 + -32)\/(2\/u). Let f = 91 + p. Calculate the least common multiple of f and 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1267267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2*(-112546)\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d = -7*k + 22544 - 22734, -2*d + 68 = -4*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -33, -52, -73, -96?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.1533605+14\nAnswer: 15.1533605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z + z - 8*z + 477*z**3 - 55 - 473*z**3 to o*z**3 + v + y*z**2 + f*z and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29062*d**3 - 58127*d**3 + 29062*d**3 - d + d.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -122967?\nAnswer: -614835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/237 and -49\/1248?\nAnswer: 98592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -5*c + 4. Let y(t) = -2*t**2 + 31*t + 34. Let z(g) = -g**2 + 15*g + 17. Let n(v) = c*y(v) + 5*z(v). What is the tens digit of n(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -3 + sqrt(1008))*5)**2.\nAnswer: -3600*sqrt(7) + 26100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -980, -631, -52, 757, 1796, 3065, 4564?\nAnswer: 6293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/35098 and -25\/5010642.\nAnswer: 546159978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 5*i)*(-194 + 132 - 142)*(-1 + 0 - 9).\nAnswer: 6120*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x = -9, -3*x - 1 = 4*w. Suppose 3 = -5*r + w*r. Let t = -40 - -41. Sort r, t, 8.\nAnswer: r, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 times 2?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40045 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**4 - 9*t**3 - 19. What is the third derivative of o(v) wrt v?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 4*d**2 - 14*d + 23. Calculate u(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 31*z - 5*z**4 - 63*z**3 - 75 - 221*z - 172*z**2 + 12*z**2 + 13*z**3 = 0?\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*t + 19*t**5 - 11*t + (-t - 5*t + 3*t)*(4*t**2 - 2*t**4 - 4*t**2) - 7*t**5 + 6*t**2 - 6*t**2.\nAnswer: 18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 34*w + 1536. Let a be p(-47). Let h(j) = 70*j - 1. Let k be h(-1). Let t = a - k. Calculate the lowest common multiple of t and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.2. Suppose -p - 19 + 4 = -3*k, 15 = 5*p + 3*k. Let b be p + (10\/11)\/5. What is the closest to 0 in b, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x - 15. Let p be l(-4). Suppose 0 = 5*t + 4*d + 2, 0*t + p*d = 3*t + 16. Let o = -217\/3 - -73. Sort t, 4\/5, o, -1\/3.\nAnswer: t, -1\/3, o, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 353 + -358. Let h(n) be the first derivative of n**4\/24 + n**3 - n**2 + 4. Let t(v) be the second derivative of h(v). Calculate t(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10*k**2 + 7*k - 9. Let u(a) = -5*a**2 + 3*a - 4. Let h(n) = -3*q(n) + 7*u(n). Give h(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 3*i**2 + 3*i + 3. Suppose 0 = -10*u + 2*u - 544. Let m = 66 + u. Determine h(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/300 and -29\/13800.\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q + 86. Let c be w(27). Let d(i) be the first derivative of -i**4\/4 + 5*i**3\/3 + i**2 - 6*i + 1. What are the prime factors of d(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50b - 55680?\nAnswer: -55b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -42456, 3, -1 in ascending order.\nAnswer: -42456, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 21*k + 17. Determine c(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2406 + -1635. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 17 = -3*c, -5*o + 3*o = -c - 14. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**6\/180 + 13*w**5\/15 + 38*w**4\/9 - 3932*w**2. Determine r, given that b(r) = 0.\nAnswer: -76, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553174 is divided by 276578.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -5\/4 (b) -1\/11 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 6\/(-3 + 1). Let h(b) = -9*b + 43. Let u be h(-29). Let n = 308 - u. Is n at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 1:44 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -7*r + 211*q - 207*q, 4*q = 3*r - 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 3*m + 5*p - 125, -p - 79 = -2*m. Calculate the remainder when m is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/15)\/((-1)\/10). Let b(a) = a**3 - 4*a**2 + 5. Let r be b(q). Suppose -5*h + 2*v + 73 = 0, -r*h = v + v - 57. Solve 0 = -4*f + h - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 38443 and -5.\nAnswer: 38438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + 55. Let k = 0.3 + -0.1. Sort 8, y, k in increasing order.\nAnswer: k, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 4724*h + 23520.\nAnswer: 4*(h + 5)*(h + 1176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + y = -21, -14*y = n - 19*y + 25. Let k(i) = 22*i + 14. Let z(w) = 7*w + 5. Determine n*k(l) + 14*z(l).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 + 726261?\nAnswer: 726327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24235517624.8 + 32.\nAnswer: -24235517592.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 1 (c) -13\/2 (d) 5 (e) 7\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 = 2*j, -5*k + 13 = -2*j - 0*j. Let s = j - 1. Let a(t) = t**2 - 4*t - 5. Give a(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 94 + 0?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33188246?\nAnswer: 2, 7, 13, 182353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -497, -498, -489, -464, -417, -342, -233, -84?\n\"Answer: f**3 - f**2 - 5*f - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.67 from -17483360.3.\nAnswer: -17483359.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522597783?\nAnswer: 7, 109, 1995541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1.63 (b) 1 (c) -4 (d) -0.2 (e) 2\/17 (f) -5 (g) 1\/221\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/25)\/(s*s**8))\/(s**1)**(6\/5)*(s*s**(2\/3))**48\/(s**0)**42 assuming s is positive.\nAnswer: s**(1743\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from ivbxaay.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -24.8. Let b = v + -0.2. Let y be (2\/4)\/(12\/(-32)). Sort -2, b, y in increasing order.\nAnswer: b, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912708893?\nAnswer: 9833, 92821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + -34 + 50 + -9 + 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 8:49 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 858544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3 - 774*r**2 + 5369*r = 0. What is r?\nAnswer: 0, 7, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2, -10, -7, -34, 4, 3 in descending order.\nAnswer: 14, 4, 3, 2, -7, -10, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6240 by 3.\nAnswer: 2080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 47 = -517. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38886 plus -3398.2?\nAnswer: -3398.58886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322063107.\nAnswer: 3, 131, 819499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73 and 432.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120475, -125909, -131343?\nAnswer: -136777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57232*p**2 + 3609*p + 6?\nAnswer: -114464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 9. Suppose -19 = -5*h + 6. Suppose 4*o = -20*o + 240. Calculate the least common multiple of m(h) and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 11 - 1 - (6 + -9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 144e03aa?\nAnswer: 144e03ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1233)\/(-63) + 7 + -26 + (1 - 1)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.3 + -4.4. Sort d, 12\/5, -1 in descending order.\nAnswer: 12\/5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c - 1b45b76?\nAnswer: -1b45b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 32*k - 2238. Let v be a(70). Solve j = 0, v*u + j + 12 = -4*j for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 58*z**2 - 159*z + 330. Let b be d(-55). Which is bigger: b or -14\/71?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21918949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (5 - 7) + -11\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**2\/2 - 5*x + 5. Give g(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1. Let r(t) = 15 - 33 + 19 + 2*t. Let v be (-1 - 2)*1\/3. Give v*r(u) + 2*z(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*3.5\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 204 + -186. Suppose 0 = 5*g + 4*z - 1994, 4*g - t*z = -15*z + 1620. List the prime factors of g.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**6\/30 + 3*g**5\/10 - 13*g**4\/12 + 2*g**3 - 2*g**2 + 88*g + 3. Factor o(u).\nAnswer: -(u - 2)**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 2*h**2 + 2*h**2 - 2*h**2 + h. Let s = 9 - 3. Suppose 64 = -2*a + s*a. Let z(f) = -6*f**3 - 10*f**2 - 6*f. Calculate a*g(v) + 3*z(v).\nAnswer: -2*v**3 + 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10131, 20445, 30763, 41085, 51411?\nAnswer: 61741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 10. Let q be (-2)\/(-8) - (-138)\/24. Let v be c(q). Suppose n - v*n = -802. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-232965)\/(-36))\/(-155) + (-10)\/8?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*2\/((-6)\/5). Let g be ((-8)\/y)\/((-7)\/35). Let p be (-4)\/16 - (-6)\/g. Let r(x) = -6*x**2 + x + 1. Determine r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1600*h**4 - 32119*h**3 + 70213937*h**2.\nAnswer: 38400*h - 192714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is d5254 (base 16) in base 10?\nAnswer: 873044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (7 - 2) - 9 - (0 - 4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-24)\/(j\/(j*j**(-1)*j)*j**(1\/3))*(j**3\/j)\/(((j**(2\/7)\/j)\/j)\/j)*j**(-1\/3)*j*j**(-1\/7) assuming j is positive.\nAnswer: j**(103\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 11251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -10*k + 82. Let u be r(8). Suppose -3*t - 630 = -u*m - 217, -4*m - t + 819 = 0. What is the greatest common factor of m and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 11*m**2 - 262*m - 18. What is l(25)?\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7346 + 7382.065. Let z = 0.065 - p. Let j = z + 37. Which is the smallest value? (a) -0.1 (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 418841777?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7 = 1. Suppose m - 20 = 5*z, -2*m + z = -2 - l. Suppose -q - q - 5100 = m. What is q rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2210 or 2217?\nAnswer: 2210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1. Let i(s) = 8*s - 22. Let q(g) = i(g) - 3*v(g). Is q(6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) + (-24)\/(-10). Suppose 7 = 3*i + 1. Find the first derivative of -x**v - x**2 + 2*x - 2*x + i wrt x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*h**2 + 162*h**2 - 44*h**2 + 1781*h - 939*h - 841*h.\nAnswer: 225*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/16777 and -23\/177?\nAnswer: 2969529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, r: 1, a: 1, h: 2, s: 1, z: 1}. Give prob of picking 2 h, 1 a, and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 + 84. Calculate the remainder when 102 is divided by (8\/s)\/8*(-156)\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((9\/(-2))\/1)\/((-6)\/7) and 228\/4*7\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*v - 461, 6*j - v = 5*j + 117. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7720 is divided by 2570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 3*q**2 - q**2 - q)*(-2 - 44 + 23)*(2*q**2 - 3*q**2 - q**2).\nAnswer: 92*q**4 - 138*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 - 54. Let w = 21 - f. What is the closest to 1 in 2\/15, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -3 - (2 - (0 + 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e39e + -1?\nAnswer: e39d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -130111?\nAnswer: -130043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22684887?\nAnswer: 3, 840181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24 + -3.24. Let y = 205 - 88. Let g be (-6)\/y*(0 - -3). Sort r, 3\/4, g in decreasing order.\nAnswer: 3\/4, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**6 + 35*o**4 + 602122*o**3 - 168069*o**2 - 2*o - 546.\nAnswer: -120*o**3 + 840*o + 3612732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -9. Suppose -21 + 63 = 2*o - 3*u, 14 = o + l*u. 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: Three letters picked without replacement from {e: 7, t: 3, y: 1, w: 1, v: 1}. What is prob of picking 1 v, 1 t, and 1 y?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2017, 4176, 6335, 8494, 10653, 12812?\nAnswer: 14971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, -8, -22496, -5 in descending order.\nAnswer: 8, 0, -5, -8, -22496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-292 + 24 - -100) + 81.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 762910*i**2 + 4280. Let y(u) = 1070*u**2 + 6. What is 3*o(q) - 2140*y(q)?\nAnswer: -1070*q**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikhiaailaijijhaijij. What is prob of picking 1 h and 2 j?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.091 (b) 2\/3 (c) 2 (d) 3 (e) -16\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -239\/560 + 3\/112. Let k = -3.26 - -0.06. Let x = 3.8 - k. Which is the closest to h? (a) 0 (b) x (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*m = 41 + 7, -m = 2*i - 80 + 23 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.3 (c) 0 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, g: 13, a: 4}. What is prob of sequence ggg?\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**4\/6 - 3*g**2. Let z(a) = -4*a - 6. Let h(b) = 8*b + 13. Let c(j) = -6*h(j) - 13*z(j). Give c(u(p)).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0 - 6 + 9 + 233*q in the form p*q + t and give p.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -3 - 18\/3. What is the common denominator of ((-68)\/(-32))\/(g\/(-6)) and (-344)\/80*(-13)\/26?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -0.15, -5, -0.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 16 - n - n**2 + n + 9*n. Let o be j(11). Let q(z) = -z**2 - 8*z - 7. Give q(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6082 or -6081?\nAnswer: -6081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7177.986 millennia to years.\nAnswer: 7177986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -164727950 rounded to the nearest one hundred thousand?\nAnswer: -164700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 - (387 + -394)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**6\/480 - o**5\/40 - 7*o**4\/96 - 8*o**2 + 2*o + 11. Let i(d) be the second derivative of s(d). Factor i(m).\nAnswer: m*(m - 7)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10542332 times -0.8\nAnswer: -8433865.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwknkwkwkknkw. Give prob of picking 2 w and 2 k.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*h + 7 - 23, 2*h = -n + 7. Suppose 10 = n*a - 0. Suppose 4*q = 5*x - 22 - 8, -5*x + 15 = -q. Solve -x*d = -a - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*(-1)\/(-6))\/((-3)\/18). Solve -3*v - 6*p = -4*p + 19, -5*v = t*p + 25 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 5 + 16 - 34 + 26 + (0 - 1 - 1)*(-1 + 2 - 2) + 2 - 6 + 2 + 1 + 0 + 1)*(t - 2*t + 0*t)*(4 + 2 - 2).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 391*g**2 - 42*g + 120. What is the units digit of j(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4, 1 in descending order.\nAnswer: 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (3*sqrt(275))**2) + 5 + (sqrt(275) + -3 + 0 + sqrt(275))**2.\nAnswer: -1361 - 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:08 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, i: 9}. What is prob of sequence iii?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r)**26\/(r**(-3\/5)\/r*r**(-3\/4)*r))\/(r**6*(r**(-9\/4)*r)\/r)**(-8) assuming r is positive.\nAnswer: r**(627\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -701?\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88.6102 - 0.2698. Let t = j - -88. Round t to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1123235 and 4188815?\nAnswer: 4055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2599 + 2641.1. Let j = 39 + 3. Let p = n - j. What is the nearest to 1\/6 in p, 2\/9, -1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2, 4, 92, -130483, 0, -1 in ascending order.\nAnswer: -130483, -1, 0, 2\/13, 2, 4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60722393?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78258912 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**5 - 49452*d**4 - 1511*d.\nAnswer: 20*d**3 - 593424*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 10*r**2 + 2*r - 46 + 33 + 13.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 211098 a multiple of 699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028186843 rounded to 4 dps?\nAnswer: -0.0282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01109774409 rounded to four dps?\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4.92. Let r = 0.366 + 0.034. Which is the fourth smallest value? (a) r (b) k (c) -0.2 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1946 - -4387. Is 85 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 315 or 77426?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4 + 17*s**3 + 24*s**2 + 13*s + 2 = 0. What is s?\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 8 = -10*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 - u + 6. Let h = -995 - -1151. Calculate the least common multiple of s(3) and h.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -8, -0.5, 0.5, 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/15, 28, 17, 0.4, -4 in decreasing order.\nAnswer: 28, 17, 0.4, -1\/15, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 34 = -5*n, 2*k = -22*n + 19*n - 22. Calculate the remainder when (-500)\/k + -4 + 7\/14 is divided by ((-60)\/(-14))\/(1\/7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*s - 22*s**2 - 60 - 17 + 26*s**2 + 1.\nAnswer: 4*(s - 1)*(s + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2053, 1, 105 in descending order.\nAnswer: 105, 1, -2053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 2\/11 (b) -3 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**2. Let s(y) = 2*y**2 - y. Let a be s(-1). Let c(u) = 4*u + u - a*u - 3*u. Calculate c(i(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 2*y + 52 - 4*y)*(-1 + 0 + 3).\nAnswer: -4*y + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s**5 - 3309750*s**3 - 5634650*s**2 wrt s?\nAnswer: 180*s**2 - 19858500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14.1 (b) 0.2 (c) 2 (d) 8 (e) -3 (f) -3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(130) + (sqrt(130) - (sqrt(130) - 2*sqrt(130)*5 - sqrt(130) - sqrt(130))))\/(sqrt(20)\/(sqrt(8)\/(sqrt(40)\/sqrt(10) + sqrt(4)) - sqrt(2))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 3.4. Let z = j - -0.4. Let r = 2 + z. Which is the closest to -2? (a) 3 (b) r (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 14*z**2 - 2*z - 22. Let h be f(-14). Let q(w) = w**3 - 7*w**2 + 7*w - 8. Give q(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34005398 divided by 4?\nAnswer: -17002699\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**2*f)\/f)\/(f\/(f*f*f*f\/f**(2\/15)*f)))**14 assuming f is positive.\nAnswer: f**(1232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(7\/(21\/(-6))). Suppose w - 26 = -o. Calculate the remainder when w is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 6*d + 20. Suppose -d*x = 2*u - 2, -3*u - 3*x - 2 = -5*u. Let l(q) = 6*q**3 + 1. Determine l(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 89080129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 20?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*41739.\nAnswer: 8347.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3977 divided by -41\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 21*a - 6. Determine n(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 280924249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p + 7. Let r(k) = 5*k + 17. Let y(i) = -32*i - 113. Let s(h) = 39*r(h) + 6*y(h). Calculate 13*q(w) + 6*s(w).\nAnswer: -8*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 - 49. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2)*4\/8. Let s = 3.9792 - -0.0208. Which is the second biggest value? (a) q (b) -0.4 (c) s (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - -2 - 335\/175. Let q = -99\/70 - s. Let n(x) = -x**2 - 10*x - 3. Let t be n(-10). Sort t, -2\/5, q in ascending order.\nAnswer: t, q, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-2714)\/59)\/(-1012))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 3 + 3)*(-2 - 3 + 7) - 39 - 50 + 3)*(c + 0*c + 7*c) to the form t*c + a and give t.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5962\/7 at most as big as -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -117808 divided by -74\nAnswer: 1592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80518846 + 157918846. Suppose -4*z = -10*z - f. What is z rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(18) + 1*sqrt(18)))\/(sqrt(9) - (sqrt(18)\/sqrt(2) - sqrt(9))*5) - ((1 + 1*sqrt(200))*-3)**2.\nAnswer: -1809 - 170*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1569\/7 and 223 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/114 and 63\/380?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39536 and 8736.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 2. Let o be j(-3). Suppose -20 = -n - o. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/(-28)*1\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 c when four letters picked without replacement from isccwiicppc?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -63\/5 (b) 5 (c) 0.33 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 990270319 - -0.0389?\nAnswer: 990270319.0389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 3, h: 5}. What is prob of picking 1 h, 1 b, and 1 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -593444784 divided by 74180598?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 2 (c) 1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -0.32796 in decreasing order.\nAnswer: 5, 4, -0.32796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1362729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/458 and 10\/93203?\nAnswer: 186406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 + 28*u - 25. Calculate i(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.320443 or 0.05?\nAnswer: -0.320443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 + 45*o**2 - 485. Determine t(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 - 1) + 4 - (385 - 381).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.025 - -0.325. What is the closest to g in -3, -0.2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 2*c - 3. Let w be b(-3). Suppose w = 2*q - q. Solve q = 2*n - 4*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1273 + 1274 - (3 - 22 - -5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhn when three letters picked without replacement from {h: 2, q: 1, d: 2, n: 1, s: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**5\/60 + u**3\/6 + 3*u**2. Let l be i(-1). Solve l = b + 4 + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1824837 and -33?\nAnswer: 6.0219621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29125 + 39594. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**7\/17640 + t**6\/2520 + t**5\/280 - 11*t**4\/6 - 27*t**2. Let q(s) be the second derivative of l(s). Factor q(u).\nAnswer: -(u - 3)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by 13.\nAnswer: 55\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - u + 6. Let o be a(-3). Let g(q) = -80*q - 3. Let y be g(o). Which is smaller: y or -21\/10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106882249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8045079 is divided by 1431?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338 and 716560?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5494975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233947979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2. Let s(y) = y**3 + 8*y**2 + 7*y + 8. Let k be s(-7). Let z(v) = k*v + v - 6*v. Give z(m(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3507 - 6283 - 5224 - 6539 = -217*f for f.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*p - 288, 3*p - 4*m - 186 - 107 = 0. Let d = 88 - p. Let o(a) = -a**3 - 3*a**2 - a + 3. Calculate o(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*s = -136*s + 108 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1898 divide 91736034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077198.\nAnswer: 2, 3, 179533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0279 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.1, -2, 20\/51?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/15 - -1\/45. Let i = 7.9551 - -0.0449. What is the smallest value in 4, i, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 74*k + 144. Let b be u(-2). Sort b, -3, -7, -1, -5.\nAnswer: -7, -5, b, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 598.7306 - 40698.\nAnswer: -40099.2694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 99.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 2*i + 2. Let n(j) = -j**3 + 4 - 4*j**2 - 2 - 4*j - 3. Suppose 15 = -s - 4*s. Let b be n(s). Calculate d(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175528 and 14.\nAnswer: 1228696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.3 (b) 0.6 (c) 4\/5 (d) -0.091 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 29592 - 8172 = 0. Is y a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8276*s + 16812*s + 8382*s.\nAnswer: 16918*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 7. Let o be h(5). Suppose 15 = -9*a + 6*a. Sort o, -3, a.\nAnswer: a, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + 3\/((-6)\/2). Suppose 2*n = 4*g + g - j, g = 1. Solve 2*u - 5*u + 4*r - 4 = n, 2 = -u + r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -14008655?\nAnswer: 4\/14008655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 13432?\nAnswer: -13437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o**3 - 6015*o + 6015*o)*(2*o**2 - 3*o**2 + 2*o**2).\nAnswer: 15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 9*k**2 + 20*k + 30. What is the smallest common multiple of s(11) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*g = -68*g - 46683. Is g a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0*j - 12. Suppose 0*i - j = -3*i. Suppose -4*l + 35 = -3*u + 7, -3*l + 5*u = -10. Calculate the remainder when l is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - l - 4 = 13*z, -2*z + 3*l = 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 6, 5 in decreasing order.\nAnswer: 6, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 5, -703 in ascending order.\nAnswer: -703, -0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 2 = 104 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 604*m - 6011. Give f(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s + 13 - 13)*(-s**2 + s**2 - s**2) + (4 + 2*s - 4)*(3*s**2 + 2*s**2 - 3*s**2).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 + 3. Let t be w(4). Suppose m - 6 = t*m. Calculate the remainder when 38 is divided by 11 + (2 + -3 - m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5872 and 6?\nAnswer: 17616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**(-3)))\/(c*c**(-2\/37)*c)*(c**(3\/7)\/c)**(1\/20) assuming c is positive.\nAnswer: c**(2623\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 390979947 and -21.475.\nAnswer: 390979925.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 60 = -2*v, 358 = -5*v + 16*j + 166 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/7 and 31\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -9 - -6 - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 + 5017*i - 14974607\/2.\nAnswer: (i - 1319)*(i + 11353)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10205, 7, -4, 345, 3.\nAnswer: -4, 3, 7, 345, 10205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2616 and 85\/3658.\nAnswer: 4784664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - 0.3. Let q = -3.07 + 0.07. Let r = 17.147 + -17.447. Which is the fourth biggest value? (a) -2\/5 (b) r (c) q (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3573709 is divided by 68?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n. Suppose 0 = -q - 39 + 37. Let h be 0 - (4 + (q - (5 + -2))). Solve n = -g - h - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/11, 0.1, -1.39?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 921184.7 nanometers in centimeters?\nAnswer: 0.09211847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-14))**(-17\/4))**(-36))**(11\/5) assuming w is positive.\nAnswer: w**(-21879\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 179 - 175. Let j(b) = 7*b**3 - b - 4. Let v(w) = -6 + 1 + 7*w**3 + w**3 - w. Let l(i) = y*v(i) - 5*j(i). What is the second derivative of l(n) wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-168)\/9)\/(2\/(-3)). Suppose 23*i = b*i - 15. Which is smaller: 2\/9 or i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 136 = s. Let g = s + 195. Solve 8*j - g = -20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6028599 decades in millennia?\nAnswer: 0.006028599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*10\/385*11)\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*d = -226*d - 98 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*k + 110. Suppose 0 = 3*z + 15, -5*v + 0*v - z = 0. What is the remainder when k is divided by (-3)\/v - (-15)\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16466252565 - -2?\nAnswer: -16466252563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + h**3 - 2*h**3 + (2 - 2 - h**2)*(6*h - 3*h - h) + 4*h**3 + h**3 - 3*h**3 - h**2 - 1894 + 2*h**2 + 1897 + 2*h**3.\nAnswer: -h**3 + h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129.2 - 130. Is -0.1 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l - 9*l + 8*l - 13*l as x*l + f and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 15*f**3 + 6*f**2 - 12. Let r(j) = -2*j + 5. Let l be r(9). Let c(k) = 31*k**3 + 13*k**2 - 25. Let v(b) = l*s(b) + 6*c(b). Differentiate v(y) wrt y.\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f - 3*h - 3, -h = -f + 5. Let d(q) = q**2 - q + 1. Let m be d(f). Let c = 6 + 1. Solve c + 2 = -m*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2104, 2105, 2106, 2107?\nAnswer: 2108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/70)\/((-2)\/42). What is the lowest common multiple of 40 and 4*20*2\/(f + -2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 33719157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 335*m - 4536. Calculate g(14).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 6 = 46. Suppose 3*i - 5*g - 37 = 5*i, -5*i + 2*g - 78 = 0. Calculate the remainder when 303\/15 + i\/(-20) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 915077?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 906966323 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1140 + 1975. Does 47 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41\/238 or -21.1?\nAnswer: -41\/238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(20\/(-3))*-2. Let h = 17603\/12 + -5865\/4. Sort -1\/4, 1\/9, p, h in ascending order.\nAnswer: -1\/4, 1\/9, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -571.1890583584?\nAnswer: -570.7890583584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 403434 to the power of 1\/2, to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l = -366. Suppose 7*p = 4*p - l. Let q = -308\/5 - p. Put q, 3, 0.8 in increasing order.\nAnswer: q, 0.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*r = 0, -2*b - 9 = 2*r + 3*r. Suppose -5*n - b*f = -40, 5*f - 4*f = 5. Let o = -5 - -20. What is the greatest common divisor of o and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2534741494?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 1786 = -2673. Let j = g + -356. Let f(k) = k**3 + 14*k**2 + 12*k - 18. Determine f(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*v - 12 = 0, 0*w - w = 5*v + 4. Suppose i + 5*a - 8 = 10, 3*i - w = a. Let g be (i - 7) + 2 - 2*1. Let t(c) = c + 8. Give t(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 - 6*f + 7. Let x(j) = 9*j**3 - 17*j + 20. Let r(q) = 17*v(q) - 6*x(q). Let o = 0 + -1. Let m be r(o). Solve a - m - 2 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1570144, 1, -9 in decreasing order.\nAnswer: 1570144, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - 2 + 2)*(-2 + 0 - 4).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2\/11)*p)\/p)\/p)\/((p\/p**(-2\/21))\/p)*(p\/(p*p**(-2)\/p))**47*(p**8\/p**(-1\/10))\/(p**1)**35 assuming p is positive.\nAnswer: p**(262931\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.08*0.11218.\nAnswer: -0.2333344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-2) + (-5)\/10. Solve -5*j + y*b - 9 = 8*b, 5*j - 3*b + 2 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 2. Suppose 2*n + 10 = 3*v, 2*n - 2*v - 4 = -6*v. Let a be f(n). Let x be 4*(0 + -1 + 2). Solve -x*j - j + 10 = a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 150*a + 137*a - 286*a - 3 + 1. Give y(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*r + 4*y, -2*r + y + 2*y - 6 = 0. Let d(s) be the first derivative of -4\/3*s**3 + r*s - 4 + 0*s**2. Differentiate d(v) with respect to v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.045 - -32.955. Let j = -32.9999933 + y. What is j rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -404.2.\nAnswer: -404.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136 divided by -34.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (7 - 2) + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110 + 102 - (-12 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 14, -1, -3, 40, -2 in increasing order.\nAnswer: -3, -2, -1, 14, 15, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/28 and -15\/3728.\nAnswer: 26096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 551 - 539 - (1 + 35).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(0*p**2 - 2*p**2 + 3*p**2) - 2*p**2 + 3*p**2 + p**2 + (3 - 1 + 0)*(-13*p**2 - 10*p**2 - 12*p**2).\nAnswer: -66*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 3:50 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64439.\nAnswer: 64439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4764 is divided by 526?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*h - 166, -5*h = 3*y + 224 + 11. Let v be (-124)\/h - 10\/(-55). Solve -2*g + v = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/1817?\nAnswer: -6\/1817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2090 or -2091?\nAnswer: -2091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/230)\/(-1))\/(15\/75)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140330 (base 5) in base 13?\nAnswer: 27a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -154, -232, -310, -388, -466?\nAnswer: -544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.7190034 + 21.118879. Let z = -7.4 + i. Round z to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 65\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293.8 - 2369146.6767.\nAnswer: -2369440.4767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, t: 5, w: 6, k: 4}. Give prob of sequence kk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-247 + 86 - -138) + (-1 - ((2 - 1) + -1)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**2 - 6*a - 24 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -22031231?\nAnswer: -22031224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 35086117.\nAnswer: 280688936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -460666501 - 1?\nAnswer: -460666502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 706*f**3*q**3 + 7*f**3*q**2 - 94*f**3 - 2 wrt q?\nAnswer: 4236*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11225\/16 - -702. What is the common denominator of -101\/12 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(5\/2)*s*s*s*s*s)\/s)\/(s*s\/(s*s**(-1\/7)\/s*s)*s)*(s*s**(-1\/7))\/((s\/s**(3\/2)*s)\/s))**(-11))**(-2\/45) assuming s is positive.\nAnswer: s**(1034\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*1)\/((-50)\/50) + (-1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18866?\nAnswer: 2, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 104749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9657, -19257, -28857, -38457, -48057, -57657?\n\"Answer: -9600*z - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-33))\/(((-32)\/12)\/8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65938 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Let u be v\/(6\/(-4))*3. Let t = 16 - 27. Let n(y) = 5*y + 21. Let f(c) = -c - 4. Give t*f(b) + u*n(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 11*q**4 + 4*q**2 - 2. Let z(l) = 23*l**4 + 9*l**2 - 3. Let p(v) = -9*k(v) + 4*z(v). What is the first derivative of p(s) wrt s?\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-42)\/(-28))\/((-6)\/(-8)). Suppose s = -5*y - 0*s + 58, 3*y - 3*s = 24. Let f = z + y. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26\/7 + -64\/21. Are -3 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 4\/29, 24, -4?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9\/(-1)*(-2118)\/(-81)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 33581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -952626, -952627, -952628, -952629?\nAnswer: -952630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/16, -2.47, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2 = -2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 9*n - 25. Let o = 13645\/168 + -598\/7. Calculate the common denominator of n\/11*13\/2 and o.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2756 and 16.\nAnswer: 11024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-242)\/132 - 1\/6. Which is the closest to -0.1? (a) -10 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4502\/5655 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*t = 2*k - 16, 0 = 4*k - 2*t - 28. Suppose k*v + v = 4*v. Suppose 0 = -m + 2*s + 10, 16 = -v*s - 4*s. Solve m*l - 7 = -3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14787 or 11\/4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 10*w - 192 = 0. Is w a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 2, f: 5, s: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-3 - (-7)\/2). What is the second smallest value in 3, 3\/4, x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*(sqrt(60)*1)\/sqrt(2))\/((sqrt(6) - (sqrt(486)*2 + sqrt(486) - sqrt(486)))*-6)*1.\nAnswer: 5*sqrt(5)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2828 and 1043644.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = -6*s + 1564. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 4796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**3 + 7*y**2 + 7*y + 1. Let g be x(-1). Solve 5*z - g = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207678936 divided by 8653289\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1\/6, -0.1, 364.1, -2\/29, 6\/13?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*o*p**3 + 5067079*o*p**2 - 3160*p**3 wrt p.\nAnswer: -456*o - 18960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106*r*u*y + r*u - 20*r*y + 7736*u*y with respect to r.\nAnswer: -106*u*y + u - 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -42*a + 47*a - 5, -1 = -z + 5*a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - 90*f**2 - 10*f + 2*f + 171*f**2 - 81*f**2.\nAnswer: -2*f**3 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 15*v + 4. Let j be y(15). Differentiate -2 - 33*h - 8 - j with respect to h.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 5*f + 1 + 3*f - 2*f**2. Determine j(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -15*p**3 - p**2 - 6. Let j be f(7). Round j to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210002112000 (base 3) in base 6?\nAnswer: -12522043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*f + 810, 0*a - 3*f = 3*a - 612. Suppose -y + 0*y = 4*c - 105, -c - a = -2*y. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + h**2 + 0)*(3*h - 5*h + 0*h) + 0*h + 0*h - h**3 + 179 - 18*h**3 - 179.\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -4*q - 116, -150*m + 9156 = q + 58*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1324666597 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 9 = 0, 3*m + 14983 = -3*k + 15022 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + 24 + 3*r - 6*r + 0*r as g*r + x and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**2 + 98*p + 738. Let l be n(16). Let x = 1 + -1.2. Which is the second biggest value? (a) -0.3 (b) x (c) 0 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.155 and -87.\nAnswer: 13.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7\/4, 0, -2\/3, 4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -668c58 (base 15) in base 10?\nAnswer: -4889783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2305\/2 + 6917\/6. Which is the closest to j? (a) -1\/59 (b) -0.4 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 14 = 169. Let v = t + -106. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4602*i**2. Let a(k) = 43*k**2. Let z(b) = -429*a(b) + 4*j(b). Let o(v) = -5*v**2. What is z(o(p))?\nAnswer: -975*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 4. Let c be p(7). Calculate the least common multiple of 4*(c\/2 + -4) and 53.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3500 and 3304?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 - 113341?\nAnswer: -113301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bca6 - 2aa?\nAnswer: b9c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-6))\/f**(2\/5))**(1\/41)*(f\/(f*(f\/f**(-3))\/f)*(f\/f**(-3))\/f)**(1\/63) assuming f is positive.\nAnswer: f**(33\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 817*i - 60606 = 804*i. Is i a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/3, 2, 0.1, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3)*o\/(o**(1\/2)*o*o))\/(o**(-1)*o*o*o**(-3)) assuming o is positive.\nAnswer: o**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + -3 + sqrt(5) + 1 + sqrt(5) - (sqrt(5) + 5 + sqrt(20)\/sqrt(4) - (sqrt(5) - (-5 + -1*sqrt(5))**2))).\nAnswer: 45*sqrt(5) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - -25.5. What is d rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 46 = -2*n, 3*n + 9*t - 28 - 32 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {t: 4, q: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*l + 621 = -124*l. Calculate the highest common factor of 874 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b + 34 = 2*c, -223913*b + 3*c = -223917*b - 17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*p + 20, 3*p - 2*l - 12 = 3*l. What is the hundreds digit of (56\/12)\/(p\/(-456)*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-6)*12\/(-8). Let w = -33.88 - -33.38. What is the closest to 1 in -2, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292222 divided by 2?\nAnswer: 646111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*s - 34*s + 8. Let h be 22\/(-5) + s + 34\/10. Solve -d + h - 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/(-14) + (-4)\/(-14). Let y(c) = 3*c - 10 - 11 - 3 + c. Let a be y(7). Solve -o*x + 11 = -4*l, -a*x + 10 = -2*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 69 = 3*k, d + 11*k - 27 = 10*k. Find the third derivative of -9*b**3 + 2*b**2 + d*b + 31*b**3 - 139*b**3 + 3*b + 6*b wrt b.\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.871 + -55.871. What is the second biggest value in -0.6, 1, d?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -668 - -6. Is 12\/54 - d\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5\/7 - 448*g**4 - 4890*g**3 + 37368*g**2\/7 = 0.\nAnswer: -1557, -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1009 - 1089. Which is the closest to 3? (a) 3 (b) m (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/7)*(u*u**(6\/17))\/u*(u\/(u*u\/(((u**(2\/7)\/u)\/u*u)\/u)*u))\/(u**(1\/5)*u))**(1\/39) assuming u is positive.\nAnswer: u**(-109\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 133446 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 2312*m - 228665.\nAnswer: (m - 2407)*(m + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -430 - 21610?\nAnswer: -22340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 96087 = -27*t - 95887 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/4355 and -19\/21775.\nAnswer: 21775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5 + sqrt(3072)*2 + 1*sqrt(3072) + -1)*-3)**2*3.\nAnswer: -31104*sqrt(3) + 747464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14 + (-2 - (2 + (4 - 5))). Suppose -3*b + 3 + p = -5*f, -4*b - 4 = -f. Let y(o) = 6*o + 10. Calculate y(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -26. Suppose 5*p - 31 + 6 = 0. Calculate the greatest common divisor of l and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(117)*-1 + (sqrt(117) + -1 + sqrt(117))*3 + sqrt(117))**2.\nAnswer: -36*sqrt(13) + 4213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - b + 40. Let j be l(0). Suppose -3*c - j = -5*p, -c = p + c + 5. Sort -4, p, 2 in ascending order.\nAnswer: -4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - 23*l**3 + 46*l**3 + 4*l**2 + 17 to k*l**2 + o*l + t*l**3 + z and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6066, -6, -2, -52 in decreasing order.\nAnswer: 6066, -2, -6, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -93.8 and -656?\nAnswer: 61532.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7824 and 205380?\nAnswer: 821520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufc when three letters picked without replacement from fufffefeefeufcefeu?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/4 of a microgram in nanograms?\nAnswer: 10250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-10)\/5) - 125. What is the least common multiple of 1 and 0 - (-65)\/9 - (-28)\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.4, -4299\/2101?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1937 divided by 317.\nAnswer: -1937\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -3*s - 17*s - 188 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0*p**3 + 1\/7*p**7 + 0*p**4 + 0*p + 3\/8*p**6 + 42*p**2 + 5\/336*p**8 + 0 + 1\/3*p**5. Determine w, given that h(w) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1462301659 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10000792.\nAnswer: 2, 1250099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -15. Calculate the smallest common multiple of o\/((-2)\/2 + 2) and 6\/4 - 100\/(-8).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, e: 7}. Give prob of sequence eaea.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -17)*-2*45\/(-9). Let b = -157 + h. Solve -6*q + 2*q - 12 = 0, 4*g + b = -q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c**3 + c**2 + 2*c - 3. What is l(3)?\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1470 is divided by 367.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Suppose -h + 984 = t*a + 3*h, 0 = -4*a + 2*h + 972. Suppose -4*u - 8 + a = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19142 is divided by 2314.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 8. Let d be x(0). Let i = d + -3. Suppose 4*m - 5*n = 16, 4*n + 11 + i = 0. Let a(k) = -2*k + 1. What is a(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.409 rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 + -84. Put 0.5, 0, -2\/23, m in decreasing order.\nAnswer: m, 0.5, 0, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-10)*(2 + -4). Let d = 0.018 - 0.418. Which is the nearest to 2? (a) -5 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 66*d**2 - 4*d**3 - 66*d**2.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 2:09 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/5 - 84*f**3\/5 - 243*f**2\/5.\nAnswer: -f**2*(f + 3)*(f + 81)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 1 - 5 = 2*l, 5*f + 45 = -15*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -577*u + 577*u - 2*u**2. Let i(a) = -7*a**2 + 193 + 3*a**2 + 191 - 384. Determine o(i(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 142593171 to the power of 1\/4, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 6:55 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 - -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -9 - ((3 - 3) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1854 (base 11) to base 12.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59514*o - 238068*o + 59517*o + 59517*o - o**2 + 59520*o - 4*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 4)*-1*1. Let j be (-8946278)\/(-4)*(-2)\/y. Suppose -673139 = f - j. What is f rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o + 76*o - 6396 = 0. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12791664)\/60)\/(-4) - (-2)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 4 - 4)*(-113*a + 408*a + 0*a + 738*a - 26*a).\nAnswer: -4028*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3514518*r**2 - 14*r + 278401344.\nAnswer: 7029036*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 52.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u*u*u\/(u**(-11)*u))*u)*u**(-3\/5))\/((u\/u**12*u*u*u)\/(u\/u**(2\/21))))**(-2\/89))**(-36) assuming u is positive.\nAnswer: u**(51168\/3115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*u = d - 12, 1 = 3*d - 5*u. Put d, -8, -2 in descending order.\nAnswer: -2, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -14 (b) -9 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (141\/(-188))\/(2\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001856 to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15895155, 15895154, 15895153, 15895152, 15895151, 15895150?\n\"Answer: -l + 15895156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 99090.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 455 + 433. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2924 and 648.\nAnswer: 473688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -561 - 1994 = -5*y. Suppose -5*h - 1740 = -5*u - 0*u, u - 3 = 0. Let p = y + h. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -10*j - 48. Let o(v) = -9*v - 46. Calculate -5*k(p) + 6*o(p).\nAnswer: -4*p - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -0.2 (b) -2\/17 (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.11 - -0.144. Let y = -73.95 - -66.316. Let p = m + y. Round p to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*n + 5 = -7, -4*y = 2*n. Let z(d) = -3*d - 3. What is the units digit of z(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.42 + -853908.674.\nAnswer: -853908.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4 - 4 - 1 + o**2. Let k(g) = -g**2. Let a(c) = -5*c**2 + 1. Let v(x) = -a(x) + 3*k(x). What is 4*s(l) - 3*v(l)?\nAnswer: -2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 494.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 6. Suppose b*t = -t + 8. Suppose 23 = 3*h + t*h + 3*d, -2*h = -d - 7. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 1. Let n(m) = -3*m**2 - 2*m - 129. Let w(r) = -n(r) - 2*t(r). Find the first derivative of w(o) wrt o.\nAnswer: 6*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -22*j + 38*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 158 and 15247.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 2?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 126*z - 1557. What are the prime factors of o(38)?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 19992?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 713761 and 865874.\nAnswer: 52818314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.6487843 nanoseconds to days.\nAnswer: 0.00000000000027371278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/6)\/(h**(1\/2)\/h))**(-2)\/((h\/(h*h**(2\/7))*h*h)**(-1))**(-23) assuming h is positive.\nAnswer: h**(-884\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6.62368 hours?\nAnswer: 23845248000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 10*u**2 - 6*u. Let t(g) = -4*g**2 - 508 + 508. What is i(t(v))?\nAnswer: 160*v**4 + 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 6*b - 4*b)*(-6*b**2 + 3*b**2 + 2*b**2) + (b - 2 + 2)*(-193 + 193 + 18*b**2) - b**3 + 4*b**3 - 5*b**3 + (-1 + 1 + 7*b**2)*(-6*b + 3*b + 2*b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -362784 + -4605784.\nAnswer: -4968568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*a + a. Suppose -a*z = 5*b - 475, -b - 1 = -0*b. Round z to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 2*s**2 - s - 2. Let a(z) = -3*z**3 - 9*z**2 + 3*z + 9. Let o be 3\/((-6)\/4*-1). Let h(x) = o*a(x) + 9*n(x). Factor h(w).\nAnswer: 3*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102971255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35+12766310\nAnswer: 12766275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 18908.8 to the nearest one hundred.\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3981, 3985, 3993, 4005, 4021?\nAnswer: 4041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8044, 8881, 9718, 10555, 11392?\n\"Answer: 837*s + 7207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 1 = 2*o + 4*r, 5*o = 4*r + 30. Suppose -8 = 2*u + o*u. Calculate the remainder when 20 is divided by 1*(u - (-9)\/1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 - 8*w + 128\/5.\nAnswer: 2*(w - 16)*(w - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 251 and 30622?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 69339.48 seconds?\nAnswer: 69339480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 = 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -1) + (-60 - (-29 - -4) - -17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -2\/2057, -0.2, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/6 and -73\/54184.\nAnswer: 162552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11167840 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.2, 4, 0.129?\nAnswer: 0.129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -612.7 - -618.7. Which is the second smallest value? (a) 0.1 (b) -2\/61 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1665*871.\nAnswer: -145.0215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167 - 167 - 36*n to l*n + r and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10110*x**2 + 178*x + 5051*x**2 + 5058*x**2.\nAnswer: -x**2 + 178*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332 + -3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(c - 2*c**2 - c)*(-2*c**3 - c**3 - c**3).\nAnswer: 16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 117 + -84. Suppose -36 = -k + z. What are the prime factors of k?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 7:20 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1822 = 7*v + 1773. Solve -8 = -m - v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21282317\/36 - 591122. Let x = -213\/4 + c. Is x less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, a: 2, q: 1, g: 1, s: 2, b: 1}. What is prob of sequence dgs?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 714546, 1428889, 2143230, 2857569?\nAnswer: 3571906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 404 + -100?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from yyyk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.97553 centuries to millennia.\nAnswer: 2.797553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(612))*-3.\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 37?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -13*x**3 + 3*x**2 - 5*x + 3. What is m(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*w = -2787 - 4623 for w.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -276 - -246?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -59993*f - 7. Let b be n(1). What is b rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*t - 74899*f + 74896*f, -5*t - 12 = -f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 + 1968*c**2 - 2014*c + 47162. Calculate q(983).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(6)\/sqrt(2) - sqrt(3)*-1*1) + (sqrt(12)\/sqrt(36) - (sqrt(192) + 0)))**2.\nAnswer: 289\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -362 - 260. Let a = x + 1012. List the prime factors of a.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4c9 (base 13) to base 8\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20131 divided by -491\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(108)*-5)\/((sqrt(6) - (sqrt(6) - sqrt(24)\/(sqrt(8)\/sqrt(2)))) + sqrt(6)).\nAnswer: -15*sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*l - 16 = -2, -5*y + 3*l + 4 = 0. Let x(f) = -f + 2. Let u be x(7). Sort y, -3, u.\nAnswer: u, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53229.305 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 5*c**3\/6 - 5*c**2\/2 - c. Let n be b(6). List the prime factors of ((-60)\/n)\/((-6)\/40).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 111*y - 841. Determine w(13).\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-1)\/(8*(-8)\/(-128)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44930*z**3 - 16*z**2 + 29*z - 7.\nAnswer: 269580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1868 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1624, 1619, 1612, 1603, 1592?\n\"Answer: -j**2 - 2*j + 1627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (272\/1122)\/((6\/(-36))\/(3\/(-6)))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*l**2 + 18*l**2 + 303*l**2 + (3*l**2 - 2*l**2 + l**2)*(-3 - 1 + 3) in the form q*l**2 + s + g*l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/64 and 1\/35054.\nAnswer: 1121728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275 + 14*v**3 + 275.\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = u - 4*v, -4*v + 1 = u + 4. Find the third derivative of -8*w**2 - u*w**2 + 3*w**6 - 18*w**6 wrt w.\nAnswer: -1800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -134*o**2*y**4 - 99*o**2 wrt y?\nAnswer: -536*o**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*b + 1778 - 122 + 664 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -237*s - 179764 + 180238 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -764 divided by -208881.\nAnswer: 764\/208881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1372064885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*q - 198 = -3*q, -4*q = 3*m - 201. Let p = 10 - -6. Suppose -4*d + p = -56. Calculate the remainder when m is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p. Suppose 2*t + 8 = -0*d + d, p = -4*d - 8. Let s = 0 + t. Sort s, 1, -3.\nAnswer: s, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -3)\/((-4)\/8). Let m(p) = 20*p**2 - 1749*p + 785. Let c be m(87). Put f, 39, 0, c in descending order.\nAnswer: 39, f, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121565.\nAnswer: 3, 5, 74771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.5429 and -378.\nAnswer: -1717.2162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 7*y - 13. Give w(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13345209.\nAnswer: 3, 494267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f**3 - 2*f**2 - 5*f - 8. Let g be s(-3). Let p = 157 - g. Solve 0 = -6*n - 0 + p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/54 and 35\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -50478 + 12681.62639\nAnswer: -37796.37361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 93*b - 69. Give j(47).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 135\/5 + (3 - -15)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/54)\/((1145\/277548)\/(10\/16))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2204 = 4*g - 1260 - 1349 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -11*w. Let n(x) = 382*x**2 + 2. Calculate g(n(u)).\nAnswer: -4202*u**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (1 - (-2 + 1)). Solve -1 - p = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111721503?\nAnswer: 3, 37240501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -0.263 (c) -1006 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/11 and -59\/483.\nAnswer: 5313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 1\/80*r**5 - 1\/12*r**3 - 1\/40*r**6 + 0*r**2 - 3*r + 1\/16*r**4 + 0 + 1\/168*r**7. Factor w(u).\nAnswer: u*(u - 2)*(u - 1)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -225\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 71*q**4\/4 + q**3\/3 - 85*q**2 + q + 39. Find the second derivative of v(k) wrt k.\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*4\/(-800))\/((-10)\/(-40))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 1013 = -30*g - 1173 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 26 = -2*o - 5*p, -4*o = -2*p + 6. Let r = 1 - o. Suppose -2*i + r*i - 5*w = -54, 3*w + 54 = 2*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 6348\/38501 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12194940?\nAnswer: 2, 3, 5, 203249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 126 = -4*v. Let g(t) = 22*t**2 - 25*t + 109. Is g(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -63.15 - -0.15. Let q = 40.5 + s. Let g = 23 + q. Which is the nearest to 0? (a) 5 (b) g (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -25*r**3 - 5*r**2 + 13*r - 28. List the prime factors of o(-7).\nAnswer: 3, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6035*o - 1 + 5389*o + 1 + 4049*o to h*o + k and give h.\nAnswer: 15473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.778024 nanograms?\nAnswer: 0.006778024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Let l be 2\/x*(4 - -26). Calculate the remainder when (3 - 1) + 0 + l is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (26 + -9 - 11 - 12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127813*y - 127809*y + 255623*y - 318*y**2.\nAnswer: -318*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 4, -0.5, -3269, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 9:07 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 126.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2189926601 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(884\/306)*(-2)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2998673017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 268 - 257. Solve 16 = 3*b + 5*g - 4*g, 4*g + m = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3872, -13978, -30822, -54404?\n\"Answer: -3369*r**2 + r - 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, s: 1, k: 2, p: 3, g: 4, f: 1}. Give prob of sequence kkpg.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17004 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 49\/4, -24, -0.5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 797692033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + 4458906 - 4458906.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -21901 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 7*q**2 + q - 2. Let f(a) = -2*a - 9. Let c be f(-8). Let w be y(c). Suppose -64 = b - w*b. Calculate the remainder when 30 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3141303 - 17?\nAnswer: 3141275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 207*x + 1192*x + 385*x + 1 as p + g*x and give g.\nAnswer: 1784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 75821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3701 - 311402*x**2 + 3701 + 311416*x**2.\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2) + (-27)\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 483 - 499. Which is the closest to -1? (a) -3 (b) -0.3 (c) l (d) 1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/15, -1, 0.1, -5, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62623888127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -79. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(49)*-2 + sqrt(49))\/sqrt(7) - -2*sqrt(21)\/sqrt(3) - (sqrt(7) + sqrt(252) + -3 + sqrt(252))*1)*-3)**2.\nAnswer: -648*sqrt(7) + 9153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*q = -259 - 363, -2*r + 312 = q. Suppose r - 169 = -2*c. Factor -4*b - c*b**2 - 8\/3*b**3 - 2\/3.\nAnswer: -2*(b + 1)**2*(4*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19220 or 153749\/8?\nAnswer: 153749\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 4*p - 135. Let m be p\/(-3) - 1 - 1. Suppose 3*s + 6 + 14 = f, -4*f + s + 25 = 0. Solve -f*x - 3 = -m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -961, -1502, -2033, -2548, -3041?\nAnswer: -3506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.029\nAnswer: 0.0145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + q - 15, -q - 7 = -5*r. Let w = 7 - 3. Calculate the least common multiple of r and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 21. Let r = y + -17. Let k = 2 - r. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -222*j**2. Let o(x) = 11*x**2 - 6467*x. Give o(k(f)).\nAnswer: 542124*f**4 + 1435674*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 687737 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + v - 12 = 0, 0*v = v - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 10:45 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r - 52*r**3 - 4 + 4 - 3*r**2 + 41*r**3. Let m be (-50)\/(-10) - ((3 - 2) + 1). Let a(v) = -4*v**3 - v**2 + 3*v. Give m*d(u) - 8*a(u).\nAnswer: -u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2 = y. Suppose 3 - 19 = -y*d. Suppose -p + d = 3*p. Solve -2*g + 18 = 2*c + p*c, -4*g = -12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.1 - -0.1. Sort k, 2\/13, -0.5 in decreasing order.\nAnswer: 2\/13, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 54.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366224*z + 183059*z + 183075*z - 3*z**2.\nAnswer: -3*z**2 - 90*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -138, -158, -190, -234, -290, -358?\n\"Answer: -6*f**2 - 2*f - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 14, 2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 528 and 614436?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -57899 times 1.1?\nAnswer: -63688.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5.58, -3, -2\/9, 5?\nAnswer: 5.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 - -3.43. Let p = 0.5 - w. Let k = 201\/8 + -25. What is the closest to 1 in k, -2, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319428739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30716030*k**3 - 59*k**2 + 59*k**2.\nAnswer: -30716030*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38232 divided by 4248.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 448 + -263. Suppose -61 = 4*w - a. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 = -8. Suppose t = -5*q + 189, q - t - c*t = 17. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(396) + -1 - sqrt(396)))*-1 + 3 + -1*sqrt(396) + sqrt(396) + sqrt(396) + -4 + 1)*3.\nAnswer: 18 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2 - 4*c - 15. Let o(j) be the second derivative of 5*j**4\/12 + j**3\/2 + 17*j**2\/2 - 11*j + 6. Let h(r) = 3*o(r) + 4*w(r). Determine h(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/3, -0.2, -3, -925?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 3*w**5\/5 + 5*w**3\/6 + 3*w. What is the second derivative of v(m) wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m - 9. What are the prime factors of f(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 greater than 502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 - 78.4. Let w = -3.54 + 3.8. Let s = 0.36 - w. What is the nearest to s in 0.5, y, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**6\/360 + 127*v**5\/180 + 16*v**4\/9 - 2*v**2 + v + 272. Factor l(k).\nAnswer: -k*(k - 128)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -2*z + 5*g + 466, 3*z - 865 = g. Suppose -2*u + z = 8*u. Which is smaller: u or 31?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81294188 to the nearest integer?\nAnswer: 9016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -14*w**3 + 2*w. Let b(z) = 1545*z**3 + 1515*z**3 + 9*z - 3115*z**3. What is 4*b(y) - 18*g(y)?\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54385 and 1460?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.8 - 0.2. Which is the third biggest value? (a) -5\/3 (b) 3\/4 (c) g (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -11 - 7 - 5 + 32 + g - 14. Let a be h(5). Put a, -37, 2 in decreasing order.\nAnswer: 2, a, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqa when three letters picked without replacement from qojoxna?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 9*v**3 - 4 + 3 - 57*v**2 + 9*v + 58*v**2 as g*v**3 + h*v + l + q*v**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-30))\/(16\/40))\/((-47144)\/996)?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 7:43 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_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: Solve -6970 = -453*t + 10089 - 5890 + 14652 for t.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1767, -3432, -5097, -6762, -8427?\n\"Answer: -1665*o - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27084960 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 16288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -47\/5284?\nAnswer: -47\/5284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 9:04 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - c?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4730 = -72*b + 244*b - 86*b for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1, 118?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 17*f - 18. Calculate y(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1220 = 5*n, 3*m + 623 = 4*n + 1599. Find the common denominator of (-1)\/(-7) - ((-4664)\/672 - -15) and ((-15)\/(-20))\/(6\/n).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 18 + 27 = 0. Let l be (-2)\/7 - 46\/(-14). Suppose -45 = -5*r - l*n, -y*r - 3*n = -n - 50. Solve t - r = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.3 - 21.3. Which is the closest to m? (a) -3 (b) -1\/4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.88 + 2. Let v = c + -0.12. Is v greater than or equal to 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 - -78. Let h(o) = -o**2 - 8*o - 7. Let w be h(-6). Put 3, w, q in increasing order.\nAnswer: q, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z - 8. Let b(n) = 4*n - 9. Let m(t) = -2*b(t) + 3*u(t). Let g be m(9). Solve 2*f - 12 = g*p, p - 5*f + 23 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12, 20, -27.\nAnswer: -27, -2, 12, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/17 + 200*r\/17 - 5000\/17 = 0. What is r?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v**2 + 13 - 11 + 3*v + (-2 - 3 + 2)*(-2*v**2 + 2 - 2))*(6*v - 6*v + 9*v).\nAnswer: 45*v**3 + 18*v**2 + 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**3 - 1071*v + 18. Let r(p) = 2*p**3 - 536*p + 8. Give -9*r(n) + 4*u(n).\nAnswer: -2*n**3 + 540*n","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + (-4*sqrt(704)*-1)**2.\nAnswer: 8*sqrt(11) + 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + 4)*(-1)\/1. Let c be 138\/d*3\/(-2). Suppose -m = -0*m - 4*o - c, 2*m - 37 = 5*o. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/54 + 22\/(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 12:12 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1553, -1575, -1597, -1619, -1641, -1663?\nAnswer: -1685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 4*a + 4. Let j be 2\/5 + 54\/15. Let w be t(j). Suppose -v + 66 = 4*n + 7, -w*n - 5*v = -55. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 - 17*a**2 - 51*a - 1. Let n(f) = -f**3 - 6*f**2 - 18*f. Calculate -6*k(h) + 17*n(h).\nAnswer: -5*h**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 - -139. Let j = -11 + z. Suppose -3*f + j + 62 = 0. Solve -10 + 42 = 5*g - 3*x, -4*g = -5*x - f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -5. Put x, 0.5, -0.11 in decreasing order.\nAnswer: 0.5, -0.11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -38*i**2 + 33*i + 77. List the prime factors of o(-5).\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/2, 0, -0.1, 24\/13, -1\/384?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 - 10*m**2\/7 - 12*m\/7.\nAnswer: -2*m*(m + 2)*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 5, -12, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/((649\/59)\/(-55)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11996269 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: Determine x so that -12*x**4 + 47*x**3 + 65*x**2 + x - 5 = 0.\nAnswer: -1, -1\/3, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.3, -4\/5, -129, -136, -3\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m - 227 - 4197. Does 2 divide 2 + (m + -7)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -27. Let c(n) = 3*n**3 - n**2 + n. Give c(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 3*w**2 + 2*w**2)*(2*w**2 + 2 - 2)*(3*w + 5*w - 5*w).\nAnswer: 12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 140 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.71987 and -101?\nAnswer: 880.70687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139328 divided by 112.\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36755 is divided by 395?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -301443431 (base 5) to base 2\nAnswer: -100100101101100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136 + 3*z**2 + 31*z**3 - 70 - 67)*(2 + 2*z - 2)*(2 + 1 - 2).\nAnswer: 62*z**4 + 6*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 - 100. Let j be (-5)\/(-15)*6*b. Solve j*t - 10 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by (4*(-5)\/(-140))\/(4\/1708).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7435*g**4*y**2 - 74*g**3 - 4*g**2*y**2 + 2*g**2*y - 28534*g**2 - g*y**2 - 5*y**2 wrt g?\nAnswer: 178440*g*y**2 - 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1814 times 0.0162\nAnswer: 0.00293868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28116 and 8?\nAnswer: 56232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 13*l**2 + 2*l - 7*l + 3*l + 6 - 3 - 4. Determine d(-2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 12:11 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**8\/6720 - y**6\/240 + y**4\/24 + y**2. Let r(c) be the second derivative of x(c). Find the second derivative of r(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 1 - 1)*(-3*i**4 + 3 - 3) - 2*i**5 - i**5 + 6*i**5 + i**4 + 4*i**5 - i**4.\nAnswer: 13*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2137762\/165 + 1\/((-60)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1950a2 (base 13) to base 4.\nAnswer: -2130013203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2, 0.08, 2\/7?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/13 - 617920*z\/13 - 1853778\/13 = 0. What is z?\nAnswer: -3, 308963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27570*c + 6 = -27571*c + 8*h, -4*h = -12 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/29 and -4\/11?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 177, 275?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or -1173?\nAnswer: -1173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 142*m**2 + 2*m - 13. Let k(p) = -p**2 + 3*p - 1. Let q(u) = g(u) - 4*k(u). Calculate the remainder when q(-1) is divided by 41.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*b - 38*d + 36*d, 0 = 3*b - 5*d + 45 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 45\/4 of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70231649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 25. Let p be g(-21). Suppose -z = -p*z + 9. Let h be -1 + 6 + -2 + 1. Solve -22 = 4*w + z*s, 0 = -w - 3*w - h*s - 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -1.69?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 10*w - 69*w = 57*w + 3100 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1624140355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 257930921 to the power of 1\/3, to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2263 + -2155. Which is bigger: x or -4\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 5. Suppose u - 3 = t, -5*i + 2*u + 81 = -u. Let x = i - 7. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1 (b) 1\/13 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 2*o + y + 27, -39 = -3*o + y. Let g be (-79)\/(-3) - 4\/o. Let d = -3 + 7. Solve -d*w = -2*r + g, 19 = 4*r + w + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2. Let m(r) be the first derivative of r**3\/3 - 61*r**2 + 2*r + 2390. Determine m(t(k)).\nAnswer: k**4 + 122*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 3*w**2 + 6*w - 5. Let o be z(4). Suppose 0 = -o*t - 5*c + 1 + 11, -5*c = 5*t - 20. Suppose -111 = p - t*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -648 + -4225?\nAnswer: -4874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 4. Let s be o(3). Suppose s*t + 1 = 56. What is the remainder when 32 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.5 + 42. Let z = t - -4. Let p = 31 - z. Round p to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6598.02 + -6598. Sort -4, -2\/11, 11, b, 1\/8.\nAnswer: -4, -2\/11, b, 1\/8, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-49) - (-38)\/70. What is the smallest value in k, 4, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149 + -78. List the prime factors of s.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8181412 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2 + 329*z - 380. Calculate s(81).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2280, -1, 4, -8 in increasing order.\nAnswer: -8, -1, 4, 2280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941540351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2396475 = -9*a + 1866825. Round a to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 9. Suppose -c = -6 + f. Suppose 0*z - c*z = -26. What is the remainder when 36 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1770 + 1769. Put -0.4, 176, p, 4 in descending order.\nAnswer: 176, 4, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*l - 16 + 1, -5*l - 5 = -g. Suppose 0 = -5*u, -4*s + 0*s = g*u + 236. Let n = s + 66. Calculate the greatest common factor of 28 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*s + 12. Suppose 0 = -t - s*t + 27. Let r = -5 + t. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9067734101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111200111211 - -21101?\nAnswer: -1111200020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13579509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t + 7. Let n be h(-3). Let z(o) = -12*o**3 - 5*o**2 - 5*o + 5. Let p(u) = -6*u**3 - 3*u**2 - 3*u + 3. What is n*p(f) + 3*z(f)?\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 46*o**2 - 22*o + 37*o**2 - 80*o**2 - 12. Let c be a(8). Calculate the highest common divisor of 20 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -1\/45*r**5 + 1\/180*r**6 - r**2 + 0*r**3 + 1\/36*r**4 + 0*r + 0. Factor a(s).\nAnswer: 2*s*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 124*b - 122*b - 16, -3*b + 9 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**6\/6 + 463*z**5\/5 + 25*z**2 - 5*z + 153. What is the second derivative of s(q) wrt q?\nAnswer: -20*q**3 + 5556*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 121? (a) 5080 (b) 2\/5 (c) -0.1 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -63, -50, -15, 54, 169?\n\"Answer: 2*g**3 - g**2 + 2*g - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -260 by -10.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v**3 - v**2 - 199*v + 200. Calculate the remainder when 769 is divided by s(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1282, 1280, 1278, 1276, 1274?\n\"Answer: -2*q + 1284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 16, 3, 0 in descending order.\nAnswer: 16, 3, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1379574, 1379577, 1379580?\n\"Answer: 3*l + 1379571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0743 + 1.2443. Let x = z - -10.28. Round x to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 30428655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czcz when four letters picked without replacement from czzczzccccczz?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1503 (base 13) to base 12\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*s - s**6 + 8*s - 9*s**2 + 10*s wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (24\/(-3) - (-615)\/75) + 693814\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6)\/18)\/((-1)\/78)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -7218?\nAnswer: -721a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3079*26.54\nAnswer: -8.171666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*1*sqrt(76) + -1 + 3 + -3))**2*-4.\nAnswer: -43920 - 1152*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 4 + 4)*(-13*x + 3*x**2 + 13*x) - 57*x**3 + 8*x**3 + 6*x**3 to the form u*x**2 + s + c*x + t*x**3 and give t.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (27 - (15 - 1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + y - 3 = -10, 0 = 5*u - y + 17. Let g be u\/((-26 + -4)\/3). Let t = 2 + -1.9. Which is bigger: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 7:03 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -28. Let m be (-1)\/(h\/28) + 2\/(-1). Suppose 0*b + 3355 = m*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 - -169400?\nAnswer: 169416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 1160, 50 in descending order.\nAnswer: 1160, 50, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**2 + 5*h + 1. Let g be x(4). Let t be 2\/9 + g\/(-27). Let p = 0 - t. What is p rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3\/(4*(-15)\/40).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 10*r + 6. What is the units digit of o(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + i**3 + 0*i**3 + (5*i - 3*i - i)*(-2*i + 2*i**2 + 2*i) + 671635 - 671635 - 725*i**3.\nAnswer: -724*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18732 times -5\nAnswer: -93660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**3 + 53*v**2 - 7*v + 30. Give y(-9).\nAnswer: 1470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Let t = 7 - d. What is the third derivative of -h**2 + 0*h**4 + 7*h**6 + 0*h**t - 6*h**6 wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 14) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3135311, 3135292, 3135259, 3135212, 3135151, 3135076?\n\"Answer: -7*t**2 + 2*t + 3135316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -4. Let d = 0.3 + -0.6. Let h = -0.5 - -0.3. What is the closest to 2\/3 in d, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -6*p + 2, -3*d + 1076 = -5*p. Let i = -346 + d. What is the remainder when 88 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2034 and 342?\nAnswer: 38646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + 0*v**3 + 8*v**3)*(-4 + 5 + 1)*(0*v - v + 3*v).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -1. Suppose 0 = -j - u - 4, 0 = 4*u - u + 12. Suppose v*r - 2*d = 5, j*r - 2*d = 3*r - 19. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (20 + -9 + (-8 - -4))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65817*b**6 + 76455*b**2 - 2*b + 5?\nAnswer: -7898040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8353, -8510, -8667, -8824, -8981?\n\"Answer: -157*r - 8196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 1 - (-2 - 0). Suppose 0 = -5*y - u + 6, 0 = -5*y + 3*y + 2*u. Let l = m + y. Solve 2*n = -l*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 3492 = -26645. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 0*k + k**2 + 5\/6*k**3 + 1\/60*k**5 + 0 - 1\/24*k**4. What is the units digit of t(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6868.457 nanometers in kilometers?\nAnswer: 0.000000006868457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2. Let j(y) = -47*y - 6. Let b(g) = -140*g - 17. Let w(q) = -4*b(q) + 11*j(q). Let m(a) = -44*a - 3. Let x(n) = -2*m(n) - 3*w(n). What is x(z(u))?\nAnswer: -41*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3496643 and 0.09.\nAnswer: 314697.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2264789027.\nAnswer: 71, 197, 161921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 64 and -0.092.\nAnswer: -5.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1150\/155401?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269 (base 12) to base 4.\nAnswer: 11301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g + 16 + 47 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72697*s**3 - 2047*s**2 + 831*s - 47257 wrt s?\nAnswer: 436182*s - 4094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**4 + 30*w**3 + 45*w**2 - 8*w. Let l(t) = -2*t**4 - 30*t**3 - 45*t**2 + 12*t. Let u(k) = 3*b(k) + 2*l(k). Let u(n) = 0. What is n?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 4*h - 8 = 0. Let y(t) = -t**2 + 5*t + 2. Give y(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**3\/2 - 4*w**2 - 1398*w. Determine y(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21054*h**3 + 634*h**2 - 7306*h + 342 wrt h.\nAnswer: -126324*h + 1268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006 times 1992.503?\nAnswer: 11.955018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 + 101. What is the remainder when k is divided by (-4)\/(-18) - (-1014)\/54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 30 = -15*c. Suppose -14 = -f - c*f. Let z(x) = -x**2 - 6*x - 3. Let v be z(-4). Solve -f*l = -l + v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 q when four letters picked without replacement from {y: 2, q: 2, n: 9, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 5*a**2 - 7*a - 6. Let k be j(-4). Find the first derivative of -4*d**2 - 3 + 8*d**2 - k*d**2 wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-18) + ((-13872)\/(-54))\/4. Suppose a = 5*v + 3*v. Solve -y - v = 3*l - 6*l, 0 = -3*l + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1222666983?\nAnswer: 3, 135851887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, -359, 0.1, 3\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 24.9, -3, 11\/8, -3\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + 5 + -3 + 4*sqrt(1216))*2)**2.\nAnswer: 1280*sqrt(19) + 77924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-8 + (18 - 3)\/3). Solve -3 = -2*n - 7, -2*k - 6 = m*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 4*o + 4. Let x(w) = -w**3 - 2*w**2 - 8*w - 22. Let n be x(-3). Let i(l) = 2*l**3 - 11*l + 11. Calculate n*f(t) - 4*i(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78088\/45 + -15614\/9. Solve -k*s**2 - 72\/5 - 24\/5*s = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 5*t + 2. Let y be (-22)\/(-6) + (-6)\/9. Let l be h(y). Suppose -108 - l = -x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 9. Suppose 0*v - 5 = -v. Suppose -i = 6*h - 3*h - 46, 0 = 2*h - v*i - q. Solve 5*f + 2*l + h = 0, -3*l - 1 = -2*f - 6*l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 14*f**2 + 2. Let d be i(-2). Let x = 76 - d. Is (-1452)\/(-27) + 4\/x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 144223123?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18842 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 12*y**2 - 24*y + 12. Let o be v(-18). Let t = o - -2557. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 4*g + g)*(4*g + 2*g - 2*g) + 9*g**2 + 8*g**2 - 6*g**2 + (0*g**2 + 3*g**2 - 6*g**2)*(-3 + 1 + 0) to q + s*g**2 + l*g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 + -3 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*o + 1 + (-2 - 2 + 2)*(o - 4*o + o) - 3*o - 2 - 5*o + 5*o as s + c*o and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 7. Let l(m) = m**3 + 5*m**2 - m + 4. Suppose -3*j + 15 = -6*j. Let k be l(j). Let w be v(k). Solve n + y = -4*y - 25, -10 = -w*n + 5*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-2226))\/((-546)\/(-103831)) + 6\/72*-9\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2542043900 to the nearest 1000000.\nAnswer: 2542000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m + 973 + 380 = 0. Calculate the highest common divisor of m and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a860 (base 15) to base 3\nAnswer: -11101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -79369.4 rounded to the nearest one thousand?\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -13999, 13.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, k: 2, c: 2, q: 4}. Give prob of sequence cqc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/2991 (b) 1\/3 (c) 2\/5 (d) 2\/7 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, p: 1, w: 5, a: 2, y: 3}. Give prob of sequence aypw.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177912 = -1295*t + 753*t - 1576*t for t.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 293625, 294083, 294541?\n\"Answer: 458*t + 293167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 l when four letters picked without replacement from {l: 4, j: 3, w: 1, g: 2, c: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -936243 divided by -936243.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 2*l**2 - 1. Let c(j) = -10*j**3 - 2*j**2 - 3*j + 4. Give -c(g) - 6*q(g).\nAnswer: -2*g**3 + 14*g**2 + 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -471046507.59 minus 8?\nAnswer: -471046515.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 3, -2\/19, 395, -5, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-7)\/210*-24)\/((-5)\/((-120)\/(-6)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 27*b**3 + 4*b**2 + 30*b + 4. Let p(a) = -54*a**3 - 9*a**2 - 59*a - 9. Let t(k) = 9*m(k) + 4*p(k). Find the second derivative of t(g) wrt g.\nAnswer: 162*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 27 = 3*d - 85, 5*g = -5*d + 175. Suppose 0 = 3*f - 47 - 145. Let i be (-2)\/(-9) + f\/d. Solve 3*o - i = 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 164.4 + -173.4. Which is greater: w or 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2325 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 + 6537*i - 39161. What is w(6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.28721302 to 4 dps.\nAnswer: 5.2872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 h, and 2 c when four letters picked without replacement from cgchhhcgcccc.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008116578 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9*q**3 + 8*q**2 - 24. Let n(i) = 6*i**3 + 5*i**2 - 16. Let w(u) = 8*n(u) - 5*p(u). Differentiate w(a) wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-9 + 6 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 2*c - 7, -5*w + 5*c - 354 = -334 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1214.9, -3, -3\/16.\nAnswer: -1214.9, -3, -3\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 284644650 and 1051125?\nAnswer: 1423223250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19404 by -6.\nAnswer: -3234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 10511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*l - 32*l + 4855. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 7*s - 18*s + 6*s - 3*s**3 + 0*s**3 + 5*s**3 - 3*s**3 - 3*s**3 + 4*s**3 + (2*s**2 + 0*s**2 - 4*s**2)*(-4 + 4 - 2*s).\nAnswer: 3*s**3 - 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y + 9 - 8*y - 2*y + 4*y. Let f be a(-4). Suppose -2*t = -0*t - 6. Solve -t*o = 11 + f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**4 - 16*f**3\/3 + 64*f**2 - 66. Factor x(v).\nAnswer: -4*v*(v - 4)*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.04 + 7. Let z = 11356 - 11355. Sort z, 2\/3, k in decreasing order.\nAnswer: z, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -34. Suppose -19*i + 451 = -1544. Calculate the highest common factor of i and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r + 287*r**3 - 39 - 110*r**3 - 85*r**3 - 148*r**3 wrt r.\nAnswer: -336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(68) + -1 + sqrt(68)) + 0 + 1 + sqrt(68))**2.\nAnswer: -216*sqrt(17) + 5544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 34*o**2 - 62*o + 42. What is m(-32)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*w + 1. Let i be (0\/16)\/((-4)\/w). Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 18. Let i be z(6). Calculate the lowest common multiple of i\/30 - 109\/(-5) and 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 z when three letters picked without replacement from {u: 2, z: 3, q: 12}.\nAnswer: 99\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*a**2 + 119 - 13*a**2 + 3*a**2 + 29*a**2 - 120*a.\nAnswer: (a - 119)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.9275 or 1067?\nAnswer: -0.9275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*b*p**3 - 21*b*p**2 - b*p - 75596*b + 4*p**2 wrt p.\nAnswer: 144*b*p**2 - 42*b*p - b + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*s**3 + 79*s**3 - 78*s**3 - 364*s**3 + 57*s**3.\nAnswer: -473*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16650335 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*v + v**2 + 6*v + 20396 - 10201 - 51*v - 10199 to d + a*v + f*v**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 65. Let i = d - 31. Let v = 1 - 3. Is i <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.36305 rounded to two dps?\nAnswer: 3.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41949, -41025, -40091, -39141, -38169?\nAnswer: -37169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 66*t**2 + 459*t + 972.\nAnswer: 3*(t + 4)*(t + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 5:39 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -2*o**5\/85 - 46*o**4\/17 - 4904*o**3\/51 - 15456*o**2\/17 - 56448*o\/17 - 3302. Find z, given that k(z) = 0.\nAnswer: -42, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 4*n - 82. Let a be g(-7). Is 3\/(3\/a) + (2331 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egg when three letters picked without replacement from {t: 1, x: 1, g: 4, e: 2, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -501 by 231.\nAnswer: -167\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from kzayalo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4*(-8)\/3. Suppose 0 = 4*a - 4*h - 20 - 8, q*h + 16 = a. Solve 2 = -a*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*q + 145*q - 2*x - 1671200 = 0, -q + 5*x + 417800 = 0. Round q to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = w + 114, 3*w = -2*x - 0*w + 87. Let k = x + -20. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 0, -8, 96, 477 in ascending order.\nAnswer: -8, -2, 0, 5, 96, 477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 598 - 6*r**2 + 580 - 1178. Let u(t) = -4*t - 133. Calculate q(u(y)).\nAnswer: -96*y**2 - 6384*y - 106134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 81 and -4225 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13440 (base 8) in base 3?\nAnswer: -22010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - j**2 + 4*j - 6. Does 26 divide d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 3*q + 1. Suppose 0 = -2*k + 3 - 1. Let j be 2*(k\/2 + -2). Let f be m(j). Put -4, -2, f in ascending order.\nAnswer: -4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g. Let r be l(-1). Suppose -20 = -4*m, -22 = f - 4*m - 3. What is the units digit of 46\/r + f\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 10, 3, -5, 6 in ascending order.\nAnswer: -5, 0.5, 3, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.61 - 0.22. Let y = d + 0.11. Put -5, y, -1 in decreasing order.\nAnswer: y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22875767?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at least as big as 2.28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 17042672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, b: 2}. Give prob of picking 1 b and 3 h.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyqv when four letters picked without replacement from {v: 1, y: 1, q: 4, u: 7, b: 1, t: 4}.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {o: 2, h: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(4*2\/(-48)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*q + 153*q - 14 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33184813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f + 110 = 190 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-3)\/6 - -451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4419241572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1906.8*0.3\nAnswer: 572.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7331 is divided by 282.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -1\/6*n**2 + 0 + 72*n + 1\/180*n**6 + 1\/120*n**5 - 1\/24*n**4 - 5\/36*n**3. Determine h so that y(h) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 5, -0.19, 3\/2?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 97199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.055 - 210821\nAnswer: -210821.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 5:56 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g + 12. What is the remainder when h(19) is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16161*h**3*y - 20*h**2 + 14*h*y wrt h.\nAnswer: -96966*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.6 in -4, -5, -0.03904?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t. Let a be (-3)\/7 + ((-114)\/(-21) - 3). Let d(b) be the second derivative of 0*b**a + 0*b**3 - 1\/12*b**4 - 2*b + 0. Calculate k(d(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 2*g - 4628, 4*g + 4550 = 5*k - 7015. Suppose 4*u = -5*t + 3257, -3*t = 2*u + 356 - k. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/8*(-12264)\/146)\/6)\/((-2)\/4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 8) + 18 + -8 - 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - 1)\/(12\/(-8)). Let i be 3\/m - 10\/4. Let a = 373 - 374. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*q + 10 = -387*i, -2*i - 27 - 1 = -5*q - 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 28, -4, 1, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -194 + 214. Solve -2*s - 2*s - 4*d + q = 0, 19 = -s + 5*d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 512 - 512. Suppose 2*g - 4 = s, -g - 2*g + 3 = -3*s. Suppose h = -s*z + 3*u + 115, -z - 2*z + 201 = 5*u. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g + 4*g - 8*g. Let y(t) = t. What is y(i(h))?\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16608749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from jsjnwn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0622836 litres in millilitres?\nAnswer: 62.2836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - a + 3 = 0, 16*a - 15*a - 9 = 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 0.104?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -20)*(2 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d**2 - 5*d + 5. Suppose 10*a = -0*a + 210. Let p(j) = 33*j**2 - 21*j + 21. Calculate a*z(x) - 5*p(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 3*m + 10 = 0, -21150006 = 5*n + 3*m. What is n rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*n**2 - 1 + 70*n**3 + 14*n**2 - 63*n**3 - 60*n**4 + 58*n**4 as c*n + o*n**4 + t*n**3 + y*n**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17790 and 66.\nAnswer: 195690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5*p + 6)*(3 + 0 - 5 + (-1 + 3 + 0)*(-5 + 2 + 1)).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 7*h**2 - 628*h + 6631. Give y(10).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -107, -112, -117?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-8 + (-28)\/(-4)). Let y(x) = 14*x**3 - x**2 + 4*x - 3. Give y(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 72930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1331.6999989714 + 1331.7. Round x to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4166.541 - -4164. Let i = u - -0.281. What is i rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -23761821116213.\nAnswer: -23761821116209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 758 - 1a29?\nAnswer: -1291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 167052 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 43*y - 39*y - 10.\nAnswer: -82*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6408421.\nAnswer: 23, 278627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, r: 3, y: 1, t: 2}. Give prob of sequence pt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from {n: 1, r: 3, x: 3, q: 2, t: 3, v: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 133 = 8*p. Suppose s + p - 4 = -4*k, -4*k = 3*s + 15. Which is smaller: s or -2\/103?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + -43. Suppose -w = -5*a + 3*p, 0*a - 23 = -2*a - p. Calculate the least common multiple of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2739696 and 4092.\nAnswer: 934236336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -502 - -502. Which is the closest to t? (a) 2 (b) -24 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(4\/4)*23. Let y = -99 - -52. Let n = y - w. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*z - 73600010 = 0, -2*x - 13*z = -10*z - 29440006. Round x to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -100110?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 28, 1\/2, 0.9, 65?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*r**2 + 41*r**2 + 5*r**2 + (-3 - 2 + 7)*(-3*r**2 + 2*r**2 + 2*r**2) - 3*r**2 - 6*r**2 + 5*r**2 - r**2 + 2*r - 2*r)*(-5*r**2 + r**2 + r**2).\nAnswer: -177*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45456970 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 33*m + 1. Let p be q(5). Let c = p + -248. Is 4 a factor of (-3)\/15 + c\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13066, -26082, -39098?\nAnswer: -52114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5162)\/267*12\/(-64). Let l(d) be the third derivative of y*d**4 + 25*d**2 + 0*d**3 + 0*d + 0. Let h(p) = p**2. Calculate h(l(f)).\nAnswer: 7569*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 942020.\nAnswer: 942019.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from {y: 1, f: 4, j: 1, n: 3, r: 6}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159645344 is divided by 89.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 7.4, -0.2, -0.4.\nAnswer: -38, -0.4, -0.2, 7.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evve. Give prob of picking 1 v and 2 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -5*z**3\/6 + z**2 + z. Let v be m(-6). Suppose 4*g = -14 + 74. Solve -2*n + 4*o = g + 5, -4*o = -5*n - v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1613 + -1587. Calculate the greatest common divisor of w and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 2*d - 10 + d + (-1 - 1 + 0)*(-2*d + 0*d + d))*(d**2 - 5*d**2 + 2*d**2).\nAnswer: -2*d**3 + 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -824746221*f**3 + 446*f**2 + 1070417*f wrt f.\nAnswer: -4948477326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceceececcvecceccccc. Give prob of picking 2 e and 1 c.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*h - 28865 = 45593. List the prime factors of h.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96*0.1212058\nAnswer: 11.6357568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6312*t**3 + 4 - 3*t + t + 3155*t**3 + 3158*t**3 - t**4 to o*t + a*t**4 + s*t**3 + k*t**2 + y and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7220*o + 1883*o + 1993*o to v*o + x and give v.\nAnswer: -3344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 1. Let p = 0 - 2. Sort p, y, 3 in descending order.\nAnswer: 3, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.2 times 1.3?\nAnswer: 14.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -1 (c) 20.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1399526433 and 1062?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2)*(-4)\/(-6). Suppose 0 = -3*l - 5 - t. What is the common denominator of l\/(-2) - 182\/(-20) and 91\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1316*v + 13277 = -5281 - 7182 - 26900 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 75.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urrr when four letters picked without replacement from {j: 3, r: 3, u: 5}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000124841 to 6 decimal places.\nAnswer: 0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -34*v**2 + 8 - 13 + 43*v**2 + 6. Let s(m) = -4 + 11*m**2 + 3 + 3 + 8*m**2. Determine -13*r(t) + 6*s(t).\nAnswer: -3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*r + 3 + 3 - 3 - 4 with respect to r.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/2*-3 + 189\/(-84). Let n(y) be the first derivative of 3*y + 0*y**2 + 0*y**3 - a*y**4 - 1. What is the first derivative of n(d) wrt d?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**3 - 3*t**4 + 4*t**3 + (-2*t**3 + 2*t**3 + t**3)*(1 - 1 + t).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 438. Let o be m(0). Let v be (2\/(-6))\/((-2)\/o). What is v rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*n = -21, -i + 2*i - n = 37. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.9 (b) -2 (c) -0.12 (d) -411 (e) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 3*g - 10, g + 1 = x + 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) - (-1)\/(-2). Suppose 6 = -a - n - n, n + 5 = h. Differentiate 3*o**4 + 2 - 2*o**a - 1 with respect to o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -250 (b) -141 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b + 2. Let y(d) = -2*d + 3. Let z(w) = 4*p(w) - 3*y(w). Let i be z(-1). Suppose i*m - 4 = -4*h + 29, -4*m + 10 = -5*h. Is 2 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**6\/2 + 1325*l**3\/3 - 596*l - 1. What is the second derivative of p(y) wrt y?\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 6 (c) 0.7 (d) 2\/5 (e) 0.031\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88143 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 9*x + 3. Let s be o(10). Suppose -h - s = -43. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1470918 is divided by 149.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 9456196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3127 - 2*g**3 - 5*g**2 - g**2 - 1037 - 1041 - 1046 - 2*g to the form z + c*g**2 + i*g + p*g**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721875207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93*o*x**2 + 2*o*x*z**3 + 14*o*z**3 - 15*x**2*z**2 - 101*x*z**3 with respect to o.\nAnswer: -93*x**2 + 2*x*z**3 + 14*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 5.7. Let o = 0 + -5. Let m = -11 - -15. Which is the third smallest value? (a) h (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1719578 or 1719577?\nAnswer: 1719577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6960*n + 25152*n - 236496 = 0 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/30 and (-42)\/1218*(-2)\/(-6)*-61.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4041691*l**3*n**2 - 11961*l**2 - 71*n**2 wrt l.\nAnswer: -24250146*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1809\/67*3\/(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*f = -d - 121*f, -3*f - 9 = -3*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*s = -f - 2, -14 = -5*f + 3*s. Let v be (2\/(-16)*-2)\/f. Let n be ((-2)\/((-2)\/1))\/9. Which is the third smallest value? (a) n (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-3) - 11\/(-3). Suppose -5*h - 10 = q*m, 1 = 4*h + m - 3. Solve -h*s - 6 = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, 0.3, 15, 126, -576?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**2 - 7*f**2 + 6*f**2)*(2*f**2 + 3*f - 3*f + (3 + 2 - 4)*(0*f**2 + 0*f**2 + 2*f**2)).\nAnswer: -28*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 7*z - 5. Let y be (-6)\/24 + 18\/8. Suppose 0 = -y*a + 3*k - 27, -3*k = -a - 2*k - 11. What is the units digit of g(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 + -96 + 79 - (2 + -16)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1986 = -84*x + 415*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + 2 + 172134\/(-5240)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 350, 683, 1016, 1349, 1682, 2015?\n\"Answer: 333*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*c + n, -2*c - 3316*n + 3321*n = 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120582 and 4312.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + -3 + (-28 - (9 - (-36 - 3))).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 3, 18, -1\/2, 262.49?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z. Let h(b) = -13*b + 1. Let t = -179 - 27. Let g = -202 - t. Calculate g*h(s) + 18*o(s).\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3094 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 3*r - 3, -3*y + 6*y - 2*r = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 612*h**2 + 629*h**2 - 2484*h**2 + 617*h**2 - h + 609*h**2.\nAnswer: -17*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 2. Suppose 0 = 5*m + 4*k - 80, -l*m = -5*k - 17 - 48. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 21*s + 14. Let l be w(-11). What is the tens digit of (1 - 1) + l + 143 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**3 + 124*w + 1. Let m(p) = 4*p**3 - 125*p - 1. Give -5*m(r) - 6*y(r).\nAnswer: -2*r**3 - 119*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 529911 divided by 9\nAnswer: 58879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1285 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 + 1. Suppose -406 + 472 = 5*g - 3*d, 81 = 5*g + 2*d. What is the remainder when g is divided by l(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1)*37)\/(((-9204)\/234)\/(-118))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5059512?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, 2\/3, -295\/6, -22009?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/6)\/(k*k**(5\/4))*(k\/(k*k*k**(-2\/11)*k))\/(k\/(k*k**2)))\/(k*k*(((k**2*k*k)\/k*k)\/k)\/k*k**(-4)*(k*k\/k**(2\/5))**(-1)) assuming k is positive.\nAnswer: k**(-419\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19298578 is divided by 19298568?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -5. Suppose 3*p + 0*l + 6 = 2*l, 0 = -3*p - z*l + 12. Is p < 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 382435 and 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 10. Suppose -5*v = -4*r + 23, 4*r + 5 = 4*v + 21. Let q(a) = a + 9. Give v*q(p) - 6*f(p).\nAnswer: -p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 8. Let l be i(4). Solve l*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 16*h + 10 = 0. Let t(w) = 3*w. Give t(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 23. Let z be c(17). Let i(g) = -g + 9. Let n be i(z). Suppose n*u + 228 + 273 = 0. What is u rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.76 - 0.7601884. What is v rounded to 6 dps?\nAnswer: -0.000188","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zazanaznnnzazznm. What is prob of picking 2 a?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 106 (c) -0.8 (d) 5\/4 (e) 24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -187.00000968 - -187. Round x to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -477223\/4 != -119305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/7 - 39742*g**4\/7 - 45798384*g**3\/7 - 17179067440*g**2\/7 - 306105114400*g - 2125602492000\/7 = 0. Calculate g.\nAnswer: -370, -1, 20982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4051793353 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109\/3 - -223\/6. Let b = j - 1\/3. Calculate the common denominator of b and (-2)\/(-10) + (-68)\/(-60).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*c - 6 - 9, 3*i + 2*c - 9 = 0. Suppose 0 = -4*d + i*d - 138. Is (d\/(-24))\/(2\/16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p = 0, -2*o - p = 150. Let v be o\/(-6) + (-2)\/(-4). Find the common denominator of -103\/28 and 559\/v*(-1)\/(-10).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6746 + 355 = 27*w. Is 88 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 5)*(2 - 4 - 1)*(1757 - 1757 + 554*x) to u*x + q and give u.\nAnswer: -1662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 446\/5 or 90?\nAnswer: 446\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 46. Let p = x - 10. What is the smallest common multiple of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*q - 1122179, 8*s - 3366587 = 11*s - q. Let y = 346194 + s. Round y to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2803*l**3 + 5649*l**3 - 2834*l**3 + 7.\nAnswer: 12*l**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19774 or 177955\/9?\nAnswer: 19774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 17. Let k be m(-14). Suppose -k*o + 4*q = -48, 27 = o + o - q. Let b be (9\/6)\/(o\/160). What is b rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.06 or -785899?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132\/25*i**2 - 132\/25 - 2\/25*i**3 + 2\/25*i = 0. Calculate i.\nAnswer: -1, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/84 and -85\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y + 5035*y**2 - 14*y - 5058*y**2 as q*y**2 + f + x*y and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**6 + 53720*k**5 + k**3 + k**2 - 142830 wrt k.\nAnswer: -240*k**3 + 3223200*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 156.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3948.249527861 + -32?\nAnswer: 3916.249527861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s - 0*s. Let w(u) = -u**3 + 2*u**3 + 0*u**2 + 4 - 5*u - 5*u**s. Calculate the common denominator of w(6) and 101\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -107026 or -107027?\nAnswer: -107026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41610558 to the power of 1\/3, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 6*i + 3. Let o be (23 - 5)\/(i\/10). Suppose -o = n - 800. What is n rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 405 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 6 + 170*q**2 + 0*q**3 - q**3 + 22 + 2*q - 10 in the form s + h*q + l*q**2 + p*q**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, -8, 4, 2\/11, 3\/64?\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 101*q + 4. Suppose -3*r - 3*s = -0*s - 30, 2*s - 4 = 0. Suppose 3*d - r = -g, -4*d - 2*g = -7 - 3. Is b(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 55 = 24*b + 25 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 14925*l**2 - 29859*l + 14931.\nAnswer: 3*(l - 1)**2*(l + 4977)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14495, -56792, -127301, -226034, -353003, -508220?\nAnswer: -691697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p + 4239 - 3654 = 0 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 319665769 and 921227.\nAnswer: 319665769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -346 - -2641435?\nAnswer: 2641067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -301*q**3 - 2*q**2 + 99*q - 6195130?\nAnswer: -903*q**2 - 4*q + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 5*d - 18)*(2 + d - 2) + (4 + 0 - 3)*(4 - 4 + 2*d**2).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -235 + 2587\/11. Which is the closest to r? (a) -1 (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 14. Let c be x(9). Suppose 0 = 3*h + c*a - 79 - 87, 8 = 4*a. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/15)\/(4512\/705)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121 + 322. Let m = 512 + u. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 - 0.45. Let l = -16\/15 + 7\/5. What is the closest to -1\/2 in x, l, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k + 43. Let p(m) = -m - 8. What is -n(h) - 6*p(h)?\nAnswer: h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 5301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -3\/8*j**4 + 0 - 2*j**2 + 0*j + 0*j**3. Let q(h) = 2*h**2. What is q(v(o))?\nAnswer: 162*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 5, 2\/9, -1\/9, 136?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1033076 is divided by 433.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020501 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1251 - 1236. Which is the closest to -9? (a) 0.3 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.8 - -14.8. Let u = 20 + -29. Let n = m + u. Sort -0.5, 0.3, n in descending order.\nAnswer: 0.3, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - 32. Suppose 5*r + w - 403 = -5*o, -2*r = 8. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14841 by 9.\nAnswer: -1649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 13. Let u = r - 5. Suppose -6*h + h = -u*n + 13, 31 = n + 5*h. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-7)*q*q**7)\/(q*q**2*q*q\/(q**(-3\/2)*q))*(q**(4\/3)\/q**9)**(-3\/16) assuming q is positive.\nAnswer: q**(191\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 891053078 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 283. Suppose -6*s = -0*s - y. Calculate the highest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*2\/(-4)*(-2)\/8)\/11.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423171375.\nAnswer: 3, 5, 11, 102587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-5) + ((-159411)\/(-5) - (14 - 14)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14996 + 35\/7 - 6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214829 = -279*p + 1757661 + 2787250. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -1500.\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2. Let w(p) be the third derivative of 0*p**3 - 1\/30*p**5 + 0*p**4 + 0 - 15*p**2 + 0*p. What is w(f(h))?\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 231.0093 millennia?\nAnswer: 2310.093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2401\/(-210) + -1*(-5)\/15 and -33\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4239003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1228 + 2464 + 2567*d - 1234 to the form f*d + l and give f.\nAnswer: 2567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42\/11 + -4 + (-2499)\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 239, -0.27, -1 in ascending order.\nAnswer: -1, -0.27, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 2. Let j(v) = -9495*v + 10. Let w(h) = 2*c(h) - j(h). Let l be w(-2). Round l to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.08 (b) 1618 (c) -2\/5 (d) -14 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1311 - 1315. What is the closest to -10 in 23, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -7. Let -t*o - 6*o**2 - 3*o**3 + 15*o + 6 - 2*o = 0. Calculate o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.92 - -0.02067.\nAnswer: -0.89933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 30*u**2 + 10*u - 12. Let k(z) = 29*z**2 + 8*z - 9. Calculate 4*k(c) - 3*y(c).\nAnswer: 26*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-30)*4)\/(275\/(-17875))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + x**2 + 18 - 3*x**2)*(x - 2*x - x)*(-30*x - 6*x - 16*x).\nAnswer: -208*x**4 - 104*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 229 = c + 44, 0 = -5*x + 5. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n + 3*n**2 - 288 + 132 + 126. Let z be m(-8). Let l be 2 + -3 + 36 + 1. Calculate the highest common divisor of z and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6164 is divided by 685.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -40369733 and -40369732 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1510 + -2?\nAnswer: 150a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/140 and -79\/12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 2*v + 11. Is 35 a factor of d(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11524001 + -104?\nAnswer: 11523453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + (32 - 37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(3840)\/sqrt(5).\nAnswer: -96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.3558 to one dp.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 3*l**6\/40 - 7*l**5\/60 + 199*l**4\/24 - 354*l**2. What is the second derivative of t(h) wrt h?\nAnswer: 54*h - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**5*q\/(q**(-7)*q))\/(q**(1\/2)*q)**(-9) assuming q is positive.\nAnswer: q**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 - 2*p**4 + p**3 + 2*p**2.\nAnswer: -p**2*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021974 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -267024308 to the nearest one million.\nAnswer: -267000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 16*f - 1. Let k be s(1). Let w = -343 + 345. Suppose -8*g = w*g + 10*g. Solve g = 5*h + 5 + k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -137*h - 725. What is the tens digit of j(-43)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1 - 2*v**2 - 3*v**2 - 6*v + 4*v**2. Give b(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*n + 3582 = 18454 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.748379 less than 3257.3693?\nAnswer: 3250.620921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -0.3 (b) -38 (c) 1 (d) 5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snnqsqnssssqa. What is prob of sequence as?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 23, 39, 55, 71, 87?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -85. Let r = w - 42.96. Which is the nearest to -0.2? (a) r (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/15 + (-12)\/(-45). Let v = -230\/21 - -32\/3. What is the closest to w in -3, -3\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**7\/2520 - k**4\/3 + 2*k. Let v(y) be the third derivative of a(y). Let r(o) = o. Calculate r(v(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 19*i**2 + 264*i - 2761. Calculate l(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3635 + 130849\/36. Find the common denominator of -17\/8 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - 72552901*v + 72552901*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-18056)\/1769 + 10)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1081 - 685. What is the smallest common multiple of y and 21?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 305 * 0.5\nAnswer: 152.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Let a(v) = 0*v**2 + 2*v - l - 1 - v**2. Suppose q - 9 = -2*j, 0 = -j + 3*q - 6*q + 12. What is a(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 495746?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 7. Which is smaller: 4 or a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (17 + -16 + 9)) + -7 + 1 - 16.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 0.5, 38, -1\/3, -2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**2 + 16*j + 3. Let g be k(-3). Suppose c + 11 = 5*t + 2*c, 0 = -3*c + 3. Suppose 2*b + 4*y - 9 = -21, t*b - 5*y - 24 = g. Solve -u - u = b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 0. Let r be (2 - w)*-14 + 2. Let o = r - -119\/3. Put 0.5, -0.1, o in decreasing order.\nAnswer: 0.5, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o - 60 = 0. Let u be 33\/o - (1 + 1). Which is smaller: u or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2488*s**3 + 959*s**3 + 3*s**5 - 300*s**4 + 31029*s**2 + 98580*s + 67416 + 15741*s**2 + 3108*s**3.\nAnswer: 3*(s - 53)**2*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225 divided by 189543\nAnswer: -75\/63181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbrbbbbbbbbbbbbbbbb. Give prob of sequence br.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1050 and 9448110.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 42 - (-20 + 35 - -33)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86762399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**5\/120 - 5*y**4\/12 - y**3\/2 + y. Let j(v) be the second derivative of f(v). Determine j(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5531194, -11062388, -16593596, -22124824, -27656078, -33187364, -38718688?\nAnswer: -44250056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22773 is divided by 103.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 209, 0.4, 4, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 226437 a multiple of 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*a = 146*a - 24221 - 10765. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, -17 in ascending order.\nAnswer: -17, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2\/27, -2, -4\/9, 10 in descending order.\nAnswer: 10, 2\/27, -4\/9, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2)*3*-1)**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6251*f + 5 + 6250*f + 100*f**2 - 98*f**2. Let b(d) be the second derivative of -d**3\/6 + d**2\/2 + 2*d. Calculate 4*b(n) - r(n).\nAnswer: -2*n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103147 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19404\/(-374) + 16\/(-136). Which is smaller: -13 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 0*f - 2*f + (1 + 5 + 4)*(1 - 1 + f) + 2 - 2 - 2*f as o*f + r and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert c3de1 (base 16) to base 15.\nAnswer: 10ca9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*w + 9 = -1, -2*k + 5 = -5*w. Let i be 5*1\/k*1. Let r be 9\/(22\/(-28) + i). What is the greatest common factor of 28 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 1\/((-5)\/(-3)). Let m(k) = k**2. Let u be m(2). Suppose 0 = -o + 5 - u. What is the nearest to 0 in -1\/3, g, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide -1*(-1 + -32 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**5\/20 + 17*h**4\/12 + 21*h**2\/2 + 9*h. Let w be l(17). What is the greatest common factor of 14 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.5 + -0.5. Let u = -24 + 23.94. Let q = -3 - 0. Put v, u, q in ascending order.\nAnswer: q, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 398 + -394. Let j(t) = -9*t + 6. Let g(r) = -r + 1. Let w(b) = -24*g(b) + 3*j(b). Let z be w(-6). What is the highest common factor of l and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(((-6)\/8)\/((-9)\/(-6))). Solve 3*n = -4*g - 11, -5*n - g = -b*g + 26 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6328\/17 - -372. Which is the second biggest value? (a) 1\/3 (b) -4 (c) l (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 24. Let b be (0 + 3)*z\/(-195). Let y = -159\/5 + 31. What is the second smallest value in y, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6895890641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3900397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-194)\/280 + 8\/(-140)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(-4*x**2 + 11 + 6 - 15).\nAnswer: -4*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 8:33 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42260*a**2 + 20978*a**2 + 21047*a**2.\nAnswer: -235*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683294 is divided by 406?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733922403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23760 or -23759?\nAnswer: -23759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s - 4390*s**2 + 5*s**3 - 2*s**3 + 4388*s**2 - 2*s**4 + 3 to i*s**4 + y*s**3 + o*s**2 + p*s + r and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178579148?\nAnswer: 2, 11, 83, 107, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 11)*(-g**2 + 2*g**3 + g**2) + (-3*g**3 + g**3 + 3*g**3)*(139 + 8 - 9).\nAnswer: 158*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 544 and 4832?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**4\/6 - 83*c**3\/12 + 21*c**2\/4 + 8*c. Factor q(k).\nAnswer: -(k + 21)*(4*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-10)*(4\/(-12))\/(256\/1440)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105.6 - 116. Let v = 49.1 + n. Let d = 39 - v. Which is the smallest value? (a) 5 (b) d (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 4*c + 5. Let d be l(3). Let p = -7 + 10. Let j = d + p. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2))**37)**(-23)*((r\/(r**(-9)*r))\/(r**(-2\/13)\/r))**(-35) assuming r is positive.\nAnswer: r**(17506\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/49 - 4638517\/(-68698))*(0 - 6\/(-5)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -16 (b) 3 (c) 4 (d) -0.03 (e) 2 (f) 0.3 (g) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20279, 20280, 20281, 20282?\n\"Answer: q + 20278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216149 is divided by 54032?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1218a81975 + 2?\nAnswer: 1218a81977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(0*s + 2*s**2 + 0*s) + (-1 - 2*s + 1)*(4*s - s - s) - s**2 - s**2 + 0*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -251680 divided by -10\nAnswer: 25168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.13 and 149105930797?\nAnswer: 149105930796.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-135)\/(-6) + -22)\/3)\/(-2 - (-460)\/216).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-10))\/((-2)\/(-5)). Let q be f*38*2\/8. Suppose 4*c + x - 10 = 0, 2*x + q = -0*c + 5*c. Solve -c*g - 9 = -l, 4*g - l + 12 = -0*l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((4*sqrt(931) - sqrt(76)*-2)**2 - ((sqrt(684) + -1 + sqrt(684))**2 + sqrt(209)\/(sqrt(55)\/sqrt(5)))).\nAnswer: 23*sqrt(19) + 16724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 1)*3\/(-6). Let s = -127418 + 127418. Determine l so that 0 + k*l**3 - 10\/7*l**4 + 0*l**2 + 2\/7*l**5 + s*l = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3220 and 3565?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12905 - -98.1267349\nAnswer: -12806.8732651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/10)\/((-20)\/(-50)). Suppose c*a - 41 = 3*a. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0*i - 269*i - 2.\nAnswer: -269*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3591.75 * -0.5.\nAnswer: 1795.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 3, -0.5, 0.1, -0.1026, -0.4, 1\/476?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 749\/214*8\/126?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*f + 100 = 0, 7*x - 3*x - 315 = 3*f. Let s be (-4)\/(0 - 2)*x\/(-120). What is the biggest value in -0.1, -5, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50736 = -17*f + 51076 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 2462*d - 204334. Determine p(86).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 558*t - 755*t**2 - 3025*t**2 + 534*t + 690*t + 2935*t wrt t.\nAnswer: -7560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*v + 7. Let j = -282 - -294. What is the smallest common multiple of j and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315420 (base 6) to base 8\nAnswer: 62404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 539 and 4928.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 352142\/9 smaller than -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 33780004 = -o, 10*o + 56299980 = 5*z + 5*o. Round z to the nearest 100000.\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -30282.8.\nAnswer: -30283.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 59304?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-12)\/36 - (-58800)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w - 2*w + w + (-w + w - 2*w + 3*w - 2*w + 0*w + (-1 - 1 + 4)*(-3*w + 0*w + w) + 5*w - 3*w + 6*w + 0*w + 5*w - 3*w)*(-2 - 3 + 7).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 6*l + 3. Suppose -2*t = -7 - 1. Determine d(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 1. Let g(o) = 2*o**2 - 1. Let y be g(-1). Let h be (y\/3)\/((-3)\/(-27)). Give t(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8692105 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 11546744.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 12:24 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u = -7168 - 9782. Let a = u + 9611\/17. Is a not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 34 = -4*h - 88, -h = -4*h - 25*t + 27*t - 125 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h + 2. Let b(s) = -9*s + 3. Let m(t) = -t**3 - 16*t**2 - 26*t + 26. Let y be m(-14). What is y*b(c) + 5*z(c)?\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1143)\/17145)\/(2\/(-1020)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 1 (c) 0.6 (d) 4 (e) 0.3 (f) 3 (g) -333\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 987196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 416*f = -418*f + 102, -55 = -2*m + 3*f for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62\/7 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -47. Let w = 43 - l. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 4*q + 2*q - 8*q to the form k*q**2 + d*q + z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 + 1442*v\/11 - 43500\/11.\nAnswer: 2*(v - 29)*(v + 750)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 10:32 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -110054090 divided by 1130\nAnswer: -97393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -932 - -904.8. What is s rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-21)\/o)\/o**(-10\/13))\/(o**(13\/2)\/o**(-1\/13)) assuming o is positive.\nAnswer: o**(-723\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247101528.\nAnswer: 2, 3, 17, 605641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -5 (c) -594\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 + -1 + (-1260)\/(-198).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 0.7. Let t = 19 - 23. What is the third smallest value in t, -1\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/71 - -312\/497. Let i be (1 - (1 + -1)) + -7. Let q = i + 11. Which is the third smallest value? (a) j (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*a + 18, -2*a + 0*z + 17 = 3*z. Let s(t) = -499 - 4*t**2 + 502 + a*t + 5*t**2 + 0*t**2. Determine s(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2100611.\nAnswer: 197, 10663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2492307*o + 9. Let t(j) = j - 8. Let r be (2 + -3 - -3)*5\/(-2). Let m be t(r). Let k be c(m). Round k to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 4*i - 18, 12*i - 4 = 14*y - 18*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 - 81. Calculate the lowest common multiple of c and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-2*sqrt(1539) + 4)*2 + 2*(sqrt(1539)*-1 + sqrt(1539))*-4 + 2))**2.\nAnswer: -25920*sqrt(19) + 890064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 270?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**6\/720 - 11*b**5\/120 - b**4\/4 + 8*b. Let c(p) be the third derivative of a(p). Give c(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*b = -60, b - 2*b + 81 = 5*y. Let v(w) = w**2 - 32*w + 19*w + y*w - 15 - 4. Let x be v(5). Solve 2*r - 5*k + x = 0, -2*r + k + 0 - 9 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/6*(-6)\/(-4). Solve -2*s = -d*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*6 + 0 + -5)**2.\nAnswer: -300*sqrt(13) + 11725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + b = -h + 12, 5*b + 8 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2 - 8 - 7 + b + 5. Let n be m(10). Let f be (-2 + 4\/n)\/1. Which is smaller: f or 1\/12?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 53*l - 24*l + 3.\nAnswer: 31*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1104, -1105, -1106, -1107?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10c2 (base 16) to base 3.\nAnswer: -12212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3781 and -37129?\nAnswer: -140384749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + 3*(1 + sqrt(1088)) - ((-1 + sqrt(1088))*-3 - sqrt(1088))) + 1)**2.\nAnswer: 128*sqrt(17) + 69633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 6. Suppose k*z - 53 = -33. Suppose 5*o - 3074 = -z*c + 3*o, -c + 765 = 4*o. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/6)\/((-22)\/(-220)))\/(8\/24).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 150.58\nAnswer: -30.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011404545 to 5 dps.\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from {r: 1, d: 2, k: 1, x: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(1331)*-1 - sqrt(1331)) - (-4 + sqrt(72) + 0 + sqrt(72)).\nAnswer: -265*sqrt(2)\/22 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**5 - 363*c**4 + c**3 + 389*c**2.\nAnswer: 60*c**2 - 8712*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(1\/4))\/k*k*k*k*k*k**(-16))\/(k\/((k**(-16)\/k)\/k)*k*k**7\/k))**49 assuming k is positive.\nAnswer: k**(-7497\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a*(a\/((a*a*a*a**(-8))\/a))\/a)))\/a**(-2\/75))**(-3\/25))**(-15) assuming a is positive.\nAnswer: a**(1581\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 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: Does 255 divide 41562723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2795*w**5 - 36600*w**4 + 356675*w**3 + 847900*w**2 + 563820*w + 106400 = 0. What is w?\nAnswer: -19, -1, -10\/13, -14\/43, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpa when three letters picked without replacement from {q: 1, y: 1, p: 1, f: 3, a: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -727\/1195 + 2\/239. Let r = -2.6 - -1.9. Which is the second biggest value? (a) 3 (b) m (c) 2 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 2*x + 1. Give f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*i - 5*i + 6174 = 0. Solve 53*g - i*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*(-1*sqrt(88) - sqrt(88)))\/(sqrt(96)\/sqrt(3)) + ((sqrt(66)\/sqrt(3))\/sqrt(2) - sqrt(11)*-1*5 - (-1*sqrt(891) - sqrt(891))*-3))**2.\nAnswer: 28611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8665*w**3 - 64*w + 8620*w**3 + 64*w - 17438*w**3.\nAnswer: -153*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 3*p**2 + 5*p - 1. Let o be i(4). Let k(b) = -8*b**2 + 108*b + 936. Let d be k(-6). Solve o*y - 23 + 8 = d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (12 + 3)) + -5 + 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f. Let d be y(1). Suppose j + 4*j = d*w, 3*j - w = 4. Suppose 2*s - 14 = 2*m, -4*s + 3 + 11 = j*m. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 3. Let g be w(-4). Sort -2, 3, g.\nAnswer: -2, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 10 = -z - 2*a, -a - 5 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 + -30. Is ((-118)\/(-8))\/(5\/n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2250 and 31950.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831531742?\nAnswer: 2, 23, 41, 353, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d + 1. Let j(s) = 3*s. Let h(x) = -3*x**2 + 41*x - 53. Let l be h(12). Give l*j(n) + 2*y(n).\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/94 and 97\/18?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 16*s - 14. Let t(q) = -q**2 - 3*q. Let c(w) = -o(w) + 6*t(w). Give c(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1711 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 96 = -5*n - 32. Which is the third biggest value? (a) -2\/31 (b) -0.2 (c) n (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-25545474942\nAnswer: -25545474941.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37739 is divided by 18828.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yykkdddkyqdkk. What is prob of sequence ydd?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 1325*l**3\/6 + 1865*l**2\/6 + 272*l\/3 + 2\/3 = 0. Calculate l.\nAnswer: -1, -2\/5, -2\/265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 - 2. Let u = t - -0.4. Let i = -0.2 - -0.2. What is the biggest value in 0.5, u, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15108640 and 11331480.\nAnswer: 45325920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4146, 8498, 12842, 17172, 21482?\n\"Answer: -i**3 + 2*i**2 + 4353*i - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1104 = 313*g - 681*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4\/7*c**2 + 8\/7*c = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a - 9. Let x(k) = -6*k + 3*k - 2*k + k - 4. Let u(h) = -6*l(h) + 10*x(h). Let g(t) = -5*t - 5. Calculate -11*g(y) - 4*u(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 13. Let z = p + 6. What is the remainder when 4 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgb when three letters picked without replacement from {a: 2, t: 1, g: 5, b: 3, q: 8}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*h - 12, -3*o = -5*h - 0*o + 14. Is ((-2)\/h)\/(9\/(-228546)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -34. Let v(j) = 21*j**2 + 7*j + 2. Is v(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659620 divided by 13?\nAnswer: 50740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 12*u**4 + u - 5. Let l(a) = 6*a**4 + a - 3. Let f(r) = 3*j(r) - 5*l(r). What is the second derivative of f(s) wrt s?\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*t + 50 = 0, -5*k + 106 = t + 18. Calculate the highest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**4 + 2*f**3\/3 - f**2 + 2*f + 1. What is the tens digit of t(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 10*f**2 + 11*f + 8. Let k be i(-11). Let b(t) = t**2 - 9*t + 14. Let u be b(k). Suppose -u*d = 7*d - 16471. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -234, -387, -542, -699, -858, -1019?\n\"Answer: -a**2 - 150*a - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4660 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 29 + 1. Let o be 1 - 9\/3 - (q + -27006). Round o to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 - 2 + 2)*(-2*s + s - s) + 29*s**3 - 76*s**3 - 59*s**3.\nAnswer: -96*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 10\/90*-2*(-26)\/(-4)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2*3\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 3. Let l(h) = 2*h + 3. Let y(g) = -3*l(g) - 4*r(g). Let t(s) = 3*s - 2. Let x(b) = 3*t(b) + 4*y(b). Let d(m) = -5. Give -4*d(o) - 3*x(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8670870.18ms to weeks.\nAnswer: 0.01433675625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/99654720 and -95\/192?\nAnswer: 99654720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104201 - 1441?\nAnswer: -111142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -13. What is the remainder when 10 is divided by 48\/56*(0 + l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73539030 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*sqrt(1372))**2 + sqrt(28)).\nAnswer: -16464 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34818790 divided by -17409395.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10906\/247 - (-2)\/(-13). Suppose y = -z + 52. Let s(n) = -2*n + 18. Give s(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 54?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*17*102*(-5)\/(-30). Let q = d - -396. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 - 88\/14. Let d be ((-75)\/x)\/(2\/(-4)). Let z = d + 25. Put z, 2, 1 in descending order.\nAnswer: 2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (1 + 2 - (7 + -9))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m - 8 = 4*v, -4*v + 3*m - 6 = 0. Let d be (1 - v)*2\/2. Solve 12 = -4*n, 0*b - 4*n - d = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 10002012112212002?\nAnswer: 10002012112211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1461 + 1464. Let n = -9 - -11. Factor 4\/3*v**4 + 2\/3 + v**5 + 1\/3*v - 2*v**n - 4\/3*v**d.\nAnswer: (v - 1)*(v + 1)**3*(3*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*p**2 - 151*d*p + 4*d - 1288*p**3 wrt p.\nAnswer: -2*d - 7728*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 245*f**2 - 17*f + 3. Let j(c) = -c**2 + 25*c - 98. Let i be j(20). Is 73 a factor of y(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 13 = 2. Suppose l - 2 = o. Suppose 0 = 5*q + 4*i - 372, -5*q = 2*i + 272 - 658. Calculate the remainder when q is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 108942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7580680800 to the nearest 1000000.\nAnswer: -7581000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89781?\nAnswer: 3, 29927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 10 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9527 + 9527 + 101*h**2)*(-28*h + 56*h - 35*h) + 5*h**3 - 3*h**3 - 4*h**3 as t*h + p*h**2 + x*h**3 + w and give x.\nAnswer: -709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -2431950 and -2431950 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t + 16 = 0. Suppose -2*d = -6*d + t. Let c(m) = m**2 - 3*m - 1. What are the prime factors of c(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -648605.37 to the nearest 1000.\nAnswer: -649000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 803088 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-6\/11))\/i*i**(-2\/5))**38)**(-36) assuming i is positive.\nAnswer: i**(71136\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 52\/4160*(4 + -2). Let t(w) be the third derivative of -k*w**4 - 1\/5*w**3 + 1\/50*w**5 + 0*w - 12*w**2 + 1\/200*w**6 + 0. Factor t(q).\nAnswer: 3*(q - 1)*(q + 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 755 = 4*f - 5*t, 4*f - 96 = -4*t + 632. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 424*b - 138967 + 138967 to d + m*b and give m.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*h - 10124 = 0, -3*w + 3*h + 15205 = h. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let u(n) = 178*n + 1. What is o(u(j))?\nAnswer: 178*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000202526 rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.181639045 to three dps.\nAnswer: 0.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107 divided by 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15 = -g, g - 9 = 3*g + 3*q. Which is the closest to g? (a) -4\/9 (b) -0.02 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2253 and 15771?\nAnswer: 15771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 6) + 0 + -2 + (-49 - -55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + 4 + 16 + (-5 - -7)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 58369.6?\nAnswer: 58369.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-143)\/169 - (1 + (-11)\/13). Let i(c) = 0*c + c + 15*c**2 + 28*c**2. Calculate the remainder when i(k) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -0.0122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 17*b - 48. Let u be d(13). Put u, -4, 0, -3 in descending order.\nAnswer: u, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1247*t**2 + 14. Let n be j(3). Let o = 20586 - n. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b*f**2 - 495*b*f*p**2 + 3*b*f + 21*b*p**2 + 3*b + f**2*p**2 + 6127*f*p - 8*p**2 wrt p.\nAnswer: -990*b*f + 42*b + 2*f**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*s - 23 = 0, 6 = -4*w - 5*s - 2. Let t(d) = 164*d - 55*d - 51*d - 54*d + 2. Let u(p) = -5*p - 3. Calculate w*u(z) + 4*t(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7005606401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-14)\/(c**(4\/5)*c*c**(1\/3)*c))\/((c*(c\/c**(1\/2))\/c)**49)**39 assuming c is positive.\nAnswer: c**(-29179\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3 (b) -3\/5 (c) -1 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000455973682 to six decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l - 4. What is o(5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**1)\/(n\/(n\/(n\/n**4))))\/(n*n*n\/n**0*n)**26)\/((n**(-1))**(3\/8)*(n**(-2\/5))**34) assuming n is positive.\nAnswer: n**(-3441\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386343 divided by 9.\nAnswer: -42927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from cyiwuct.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5858 - -45187. Let i = r + -39283.3975. Let c = i + -0.0025. What is c rounded to zero dps?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, l: 3, c: 5, m: 5, d: 1, t: 5}. Give prob of picking 3 t and 1 c.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5491 - -65947\/12. Let n = -1260363 - -15084829\/12. Let l = 3302 + n. Calculate the common denominator of j and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/122821 and -67\/4.\nAnswer: 491284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(171)\/(sqrt(9) - sqrt(144)) - sqrt(19)) + sqrt(38)\/(sqrt(8)\/sqrt(4)))**2.\nAnswer: -2*sqrt(19)\/3 + 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 2) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1255777 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2485 is divided by 43?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -27*a**8\/8 + a**4\/6 - 17*a**2\/2 - 44*a. What is the third derivative of k(q) wrt q?\nAnswer: -22680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z + 210812 = -5540. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 427.4 + -428. Which is smaller: g or 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 816 - 321. Let b = -695 + 726. Suppose -m = -34*z + b*z. What are the prime factors of z?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*o**2 + 14*o**2 + 6*o**2 + 67 + 8947*o**5 + 81 + 4*o wrt o.\nAnswer: 536820*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1439*t**3 + 4*t**2 + 4*t + 2. Let z(m) = -1445*m**3 + 6*m**2 + 5*m + 3. Calculate -3*p(w) + 2*z(w).\nAnswer: 1427*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 322 divided by 23\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t + 29*t - 10 = -3*p, p + 2 = 2*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 times -5672?\nAnswer: 601232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454286754*v**3 + 908573584*v**3 - 454286826*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -905 or -2?\nAnswer: -905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -39 (c) -0.143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 117288296*g - 859784023661476.\nAnswer: -4*(g - 14661037)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 66. Sort -1, 0, s in ascending order.\nAnswer: -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 6:28 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 10 + 10 + 57 - l - 89.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*f - 6. Suppose -p + s = -35, 2*s + 103 = f*p - 0*p. Suppose -k + 363 = 2*r + p, -3*k = -5*r + 803. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 24*s + 4. Let c(t) = -12*t - 1. What is 7*c(g) + 3*w(g)?\nAnswer: -12*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izzziiibtbdzbd. Give prob of sequence bb.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 874, 1086, 1358, 1696, 2106, 2594?\nAnswer: 3166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.4, 2\/79, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 - 67 - 26)*(3*s - 3*s - 2*s).\nAnswer: 276*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 16 = -5*d, -1 + 13 = 2*p + 4*d. Suppose v = -p*o - o + 34, -2*v + 3*o + 50 = 0. Solve -8 = -4*r - v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11304 + -0.88696. What is the closest to 3 in t, -2\/63, -32\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h - 14*h - 13*h - 9*h + 34*h - 193*h**2 - 2 in the form o + q*h**2 + c*h and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1929451 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*z**2 + 11*z**2 + 23*z**2 - 11*z**2)*(-5 + 5 - z**2) in the form n + u*z**4 + k*z + m*z**2 + v*z**3 and give u.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41201 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1370585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1258 = 3*f + 2*w, 2*f + 12*w - 857 = 7*w. What is the greatest common divisor of 702 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/5 + 98256*b\/5 + 804520128\/5.\nAnswer: 3*(b + 16376)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 154648522 to the power of 1\/3, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + p + 529 = 94, 0 = -2*z - 4*p + 204. Suppose 0 = -14*d - 10 + z. Let r(o) = 0*o**2 + 0*o**2 + o**2 - 9*o + 4. What is r(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19988 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -46, 3, 5 in descending order.\nAnswer: 5, 3, 2, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2468, 9954, 22430, 39896, 62352?\nAnswer: 89798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + 4. Let c(i) = 5*i - 9. Let k(q) = 3*c(q) + 5*h(q). Find the first derivative of k(d) wrt d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 9:48 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4798374 is divided by 1669?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/4*692296\/(-354015).\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 10646.39338593.\nAnswer: 10646.59338593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -17*l**2 + 124*l - 74. Let p(a) = -a**2. Give u(p(f)).\nAnswer: -17*f**4 - 124*f**2 - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29269599 and 339?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from {y: 6, g: 4, c: 10}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 5*n**2 - 2*n + 7. Suppose 4 = 5*t + 4*p - 13, 11 = t - 3*p. Determine l(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22168269 divided by 57.\nAnswer: -388917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/56773463 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**3 + 341*k - 47. What are the prime factors of u(0)?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 14*d - 669. Let t = 143 - 98. Calculate the remainder when t is divided by u(49).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*b**2 - 257453*b + 257453*b - 13*b**2.\nAnswer: -58*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 1545 - 898. What is the remainder when o is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5329.1 to the nearest 100.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 40 = -4*t. Suppose -t*r = -3*r. Find d such that 1\/2*d**2 + 0*d + r = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 21 - 5. Let o = -1181 + 1186. Let l be (1 - 5) + -1 + 2. Put a, o, l in ascending order.\nAnswer: l, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -5*m**8\/336 + m**7\/21 + m**6\/12 - 2*m**5\/3 + 35*m**4\/24 - 5*m**3\/3 + 30*m**2. Factor x(k).\nAnswer: -5*(k - 1)**4*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -11*y**3 - 10*y**2 + 4*y. Let b(g) = -24*g**3 - 21*g**2 + 8*g + 1. Let m(x) = 6*b(x) - 13*j(x). Determine m(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9 = 0, 6*l = -3*v + 4*l + 33. Suppose 4*o = 6*o - 36. Calculate the greatest common divisor of v and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.307 - -0.807. Let x be 5 - (-3 + 2)\/(-1). Which is the smallest value? (a) o (b) x (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 298 - 150 + 87 + 244 + 383 + 6*u to the form l + z*u and give l.\nAnswer: 862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/19)\/y**(1\/50)*y**(-8\/7)*y**(9\/5))**(2\/29) assuming y is positive.\nAnswer: y**(6337\/96425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-153122)\/8)\/(1 + -8 - 108\/(-16)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.2 - 21.8. Let z = -14 - w. Sort 2, -1, z in decreasing order.\nAnswer: 2, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1231 + 412070?\nAnswer: 410637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 383459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**6 + 4443711*b**5 + 2712830*b**2?\nAnswer: 360*b**3 + 266622660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(5*h - 4*h - 9*h).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**7\/147 + 3*h**6\/35 - 12*h**5\/35 + 8*h**4\/21 - 10*h - 15. Find o such that u(o) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2824896, -5649798, -8474690, -11299566, -14124420, -16949246?\nAnswer: -19774038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144588.\nAnswer: 2, 3, 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g - 5*g)*(-2*g + 6*g - 2*g) - g + 2*g**2 + g + 3 - g**2 - 3.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -562, -4, 3 in decreasing order.\nAnswer: 3, -4, -562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9316, 18610, 27892, 37156, 46396, 55606, 64780, 73912?\nAnswer: 82996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*v - 14*v - 100. Calculate the lowest common multiple of 2\/4*(6 - -4) and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 6*t**2 - 12*t + 10. Let m = 31 - 23. What is the units digit of i(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -0.4, 29, 2 in decreasing order.\nAnswer: 29, 2, 0.05, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 580, 889, 1236, 1633, 2092?\nAnswer: 2625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148.971 - 0.029. Let g = 149.03398 - 0.13398. Let k = x + g. Which is the fourth smallest value? (a) 0 (b) 4 (c) 3\/4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 332438 + 332438.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -156 in 0.2, 1\/8, 3, 1\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3412 (b) -0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -1\/2 (c) 2 (d) -179 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -12, 26 - 7 = -2*m - 3*r. Let l(y) = -y**2 - 12*y + 9. Give l(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = 4*r, 2*r + 6*j - 9*j = -12. Suppose r = -3*w + 8*w + p - 16, -3*w - 4*p + 13 = 0. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 + (3 - (2 - (-6 + -10)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-70)\/20*(-6)\/7. Suppose 0 = -b*x - 3*t + 6, 2*x + 3*t = 9 - 3. Solve x = -f + 3 - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 2*v**2 + 0*v**2)*(0*v + 0*v + v)*(1035 - 2313 + 871).\nAnswer: 407*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 20 = 0, 5*v + 3*m + 20 = -2*m. Does 16 divide (-380)\/(-8) - v\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20847053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 7. Suppose d = -5, -3*d = y - 11 + 29. Sort q, 2, y.\nAnswer: q, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 18, -9, -70, -177, -342, -577, -894?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 3*n**2 - 4*n. Let f be b(-4). Suppose -f = -3*v - v. Let s be -2*2*(-2)\/v. Solve 3*o - 2*h + 5 = 19, -s = h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46\/5*g**3 + 4\/5 - 23\/5*g**4 - 7*g**2 - 4\/5*g**5 - 4\/5*g = 0.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*sqrt(117)*-6 - sqrt(117) - sqrt(117)) + sqrt(117) + 0 + 0 + -2 + -1 + sqrt(117) + sqrt(117)*-1 + -2)**2.\nAnswer: -56728 + 1320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4)\/((-6)\/4)*1. Let d(k) = k + 8. Let c be d(-7). Suppose -c = -g - 0, 2*g = -2*s. Is a >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -10. Suppose l - u*q - 8 = 19, -4*l + 3 = q. Suppose 4*g - l*g = 54. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -8. Let o = 15 + -21. Let l = o - s. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1529.27 and 232.0804.\nAnswer: 1761.3504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -110642 and 347.8.\nAnswer: -110294.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*7105123\nAnswer: 14210246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1091 = -9*n + 349. Suppose 2*y - 40 = -0*y. Calculate the greatest common divisor of n and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**4\/24 - 2*s**2. Let w(n) = -2*n. What is w(a(y))?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1049, -2095, -3141, -4187, -5233, -6279?\n\"Answer: -1046*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.04, 0.2, -5, -446, -2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l = -2*s - 16, 4*s - 56 = -4*l. What is the remainder when 38 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 4*l + 5*l)*(0 - 1 - 2 + (-1 + 0 + 0)*(-1 + 0 - 1) + 1 + 0 - 2 - 2 + 3 + 2) to the form z*l + c and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 0 + 0*q**2 - 1\/21*q**7 - 5\/4*q**4 + 0*q**5 + 0*q**6 + 0*q**3 - 8*q. What is the third derivative of r(b) wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 28 - 2. Suppose f + n = 3*v, -v - 3 = f - 5. Let s be (-286)\/858*6\/4. Which is the nearest to f? (a) -0.2 (b) s (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648 and 5752.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 23443.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 2*j**2 + 2*j + 19. Let y be v(0). Sort 0, 1, y, 16.\nAnswer: 0, 1, 16, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**6\/120 - 7*x**5\/60 - x**4\/24 - 11*x**3\/6 - 3*x**2 - x. Is 13 a factor of a(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*l**3 + l - l - 3.\nAnswer: -31*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 0*z**3 + 10*z + 1\/8*z**4 + 1\/60*z**5 + 0 + 20*z**2. Let j(b) be the first derivative of d(b). Factor j(t).\nAnswer: t*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3558*k**3 + 246559*k - 246559*k.\nAnswer: -3558*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**4\/24 + d**3\/2 - 7*d**2. Suppose -33*b = -28*b - 5*l - 5, 5*b + 2*l + 2 = 0. What is k(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10896\/157109 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -6) + 11 + -20 - (-13 - -49 - -16).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + 4*b**3 - 5*b**3)*(709 + 1397 + 216).\nAnswer: -9288*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/48 and -139\/1728?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcx when three letters picked without replacement from {w: 1, c: 6, x: 7}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**3 + 2*d. Let q = -1874 + 1873. Calculate h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10 + 144\/(-135).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -35*a**2 - 6787*a + 579. What is f(-194)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(1\/((55\/(-10))\/(-11))). Suppose x = -39*i + 26*i + 1040. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.179818 and -0.1.\nAnswer: -0.279818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/8 and 77\/152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6\/17, -3 in ascending order.\nAnswer: -7, -3, -6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 111100122020112 (base 3) to base 14\nAnswer: d2ac81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58 and 0.08.\nAnswer: 4.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9)*(-75612)\/(-4)*-4. Let g = n - 13623. Suppose -6*s + g - 1315 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107*65\nAnswer: -6955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*1*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 53\/2, 2, -2.01?\nAnswer: -2.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4580*w + 11*w**3 - 779*w - 3801*w.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*p + 11, -2*p - 26319*a + 62 = -26323*a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d + 1. Let c(k) = -10*k. Let i(u) = -5*c(u) - 6*r(u). Suppose 4*l + 16 = -0. Calculate the remainder when i(l) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 1\/24*d**4 + 2*d**2 + 0*d + 0*d**3 + 0. Determine i(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 80*g - 386. Let v be d(75). Put -4, 5, v, -6, -3 in decreasing order.\nAnswer: 5, -3, -4, -6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -722, -1463, -2224, -3005, -3806, -4627, -5468?\n\"Answer: -10*n**2 - 711*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/5)\/(5\/(-25)). Solve 0*d**3 + 4*d + 5*d**h - d**3 - 3*d**3 - 10*d**4 + 5*d**2 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -503 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2031 + 3?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -15*r - 4, -532*o + 535*o = -r + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122 - -124. Is -5 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -23547.9\nAnswer: 117739.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -143*y**3 + 84*y**2 + 17*y - 26. Let f(r) = -71*r**3 + 39*r**2 + 8*r - 12. Determine 13*f(t) - 6*l(t).\nAnswer: -65*t**3 + 3*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2218?\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.02 + -9.98. Is p greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p. Let t(x) = -x**2 + 363*x - 29. Determine t(y(b)).\nAnswer: -16*b**2 - 1452*b - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -722, -1459, -2186, -2897, -3586, -4247, -4874, -5461?\n\"Answer: y**3 - y**2 - 741*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 900 - 4373. Suppose -5*o - 17375 = -3*n, 3*n - 11162 = 4*o + 6212. Let k = n + m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 169\/6 + (-1)\/6. Calculate the common denominator of 12\/42 + (-99)\/t and -97\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126859600.\nAnswer: 2, 5, 7, 45307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -327930000 rounded to the nearest one million?\nAnswer: -328000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 + 141. What is the second biggest value in 7, 1\/6, o, -1\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 86*l - 7. What is the tens digit of g(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4282*x + 21236*x - 4244*x - 4240*x - 4248*x - 4243*x.\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3564 and 21087?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19d - -27?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 v when three letters picked without replacement from fvxxjxgfjj?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**5\/20 - t**4\/6 + 2*t**3\/3 - 28*t. Let n(g) = -3*g**3 - 4*g**2 + 9*g. What is -2*n(z) + 5*s(z)?\nAnswer: z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from mmztztzzzzztmm.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94 + 557 + 1688 + 2899)*(-5*c**2 + c**2 + 2*c**2 + (-4*c - c + 3*c)*(c - 4 + 4)).\nAnswer: -20952*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.322391.\nAnswer: -1.611955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -166, -2\/7, -3.2, -8, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(396) + -5 + 4 + -4)**2.\nAnswer: -842 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 36, -12259, 2\/7 in ascending order.\nAnswer: -12259, -0.1, 2\/7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 561 - 559. Let b be 22\/(-10) + k + 1377\/135. Solve -2*p - b = 5*d, 0 = -6*d + 2*d + 2*p + 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3306400.60262 - -3306435. Let f = 34.4 - b. Round f to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3795310029 to the power of 1\/3, to the nearest integer?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6093467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdpd when four letters picked without replacement from {p: 8, d: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 102085979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 725, 731, 737, 743, 749?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13858312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619 a factor of 992024441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -38, -77, -136, -221, -338, -493, -692?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*v + 1378 = 22*v - 38*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aannaaanaaaanaaaaa?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1320, 218, -1, -5 in ascending order.\nAnswer: -1320, -5, -2, -1, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -4*f**2 + 5*f + 9. Find the first derivative of u(x) wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**4 + 48*h**2 + h**3 - 3*h**4 - 56*h**2 to a*h + d + r*h**3 + y*h**2 + v*h**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1146*z**3 + 3*z**2 + 4*z - 6. Let j be t(1). Calculate the highest common factor of j and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 725*v - 747*v + 651*v - 17*v to the form p*v + m and give p.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-113974)\/(-18))\/(-1) + 1. Let j = 6337 + a. Find the common denominator of -37\/6 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = -2. Let y(l) = -l**3 + 4*l**2 - 4*l + 3. Let d be y(p). Let w(n) = n - n + 1 + 2*n + d*n - n**2. Calculate w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, k: 4, m: 3}. What is prob of picking 1 k and 3 a?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (2 - 4)\/(-1). Suppose -1 = -2*t + 3*a + 2, 4*a - 4 = 0. Suppose -t*w - q + 3 = 0, -2*q + 0 = 2*w - 2. Which is smaller: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*s**4 + 2*s**2 + 31 with respect to s.\nAnswer: -320*s**3 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6981116815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46511, 46514, 46517, 46520?\nAnswer: 46523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - d = -5, 0 = 3*m - 74*d + 77*d - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 3, -2, 29, 1 in descending order.\nAnswer: 29, 3, 1, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -13*x - 200. Let w(l) = -11*l - 199. Give 4*n(b) - 5*w(b).\nAnswer: 3*b + 195","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49380 = -1004*h + 13214 + 21742 for h.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442, 441, 440, 439?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*p = p - 306, 4*p = -k - 66. Let y be (-36 + -44)\/(4\/8). Let h = k - y. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 3, 1, 1\/16, 6 in decreasing order.\nAnswer: 6, 3, 1, 1\/16, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -81\/5 or 130\/11?\nAnswer: 130\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15929550?\nAnswer: 2, 3, 5, 7, 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394393 = -2415*g - 319528 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 97015.69 micrograms?\nAnswer: 0.00000009701569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 142795477499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1858372 or 1858371?\nAnswer: 1858372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7325\/6 + 1226. Let q = r + -29\/6. Let s be 3\/(-16)*-10 - 2. Which is the biggest value? (a) s (b) q (c) -4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25194112469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1454, -2339, -3212, -4073?\nAnswer: -4922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 3:14 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k + 2*k + (k - 2*k + 0*k)*(-1 + 5 - 3) + 47*k + 70*k - 133*k)*(-5*k**4 + 4*k**4 + 0*k**4).\nAnswer: 15*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 559344 and 8599914.\nAnswer: 68799312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 55?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -65473 - -5?\nAnswer: -6546a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6533 = -39*t + 22323 - 5768. Calculate the greatest common divisor of t and 2886.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48b9 + 27?\nAnswer: 4902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 12 = 2*w. Let p be ((-570)\/(-4))\/(3\/w). Round p to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0.4676420797.\nAnswer: 2.5323579203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312030 + -133?\nAnswer: -312223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1420, -0.05, -11, -1\/2, -16 in increasing order.\nAnswer: -1420, -16, -11, -1\/2, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**3 + 8*w**2 - 5*w - 8. Determine b(2).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7928059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -17*c**2 + 2*c + 1. Let m = 92 + -130. Let k = -39 - m. Calculate r(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 + 27*z**2 - 5*z - 22. List the prime factors of g(-12).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 r, and 2 n when four letters picked without replacement from {a: 2, r: 5, n: 3, u: 9}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078 minus 468?\nAnswer: -467.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -4*k + 8, -4*z = -6*z + 3*k - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7811648952 + 17.1\nAnswer: -7811648934.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - 1242814 + 1242805 + 82*n.\nAnswer: 87*n - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**3 - 8*u**2 + 4*u - 6. Let g(r) = -7*r**3 - 17*r**2 + 8*r - 10. Give 3*g(n) - 5*x(n).\nAnswer: -n**3 - 11*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_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: Let x = 13 + -12. Is ((-10361)\/(-26))\/(0 - x\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13890.82 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 10*r = 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191907 is divided by 63874?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1085869*s**2 - 11*s - 5564136 wrt s?\nAnswer: 2171738*s - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2457, 5, 3, -8 in decreasing order.\nAnswer: 2457, 5, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*x - f, 0 = x - f + 6 - 36. Let o = 109 - x. Let v = -1 + 22. Calculate the highest common factor of o and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1589341.4 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a)**31 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 - 528. Let m = c + 438. Let v = 163\/11 + -15. Put 2\/5, -6, v, m in ascending order.\nAnswer: -6, m, v, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, r: 5, k: 3}. What is prob of sequence rrr?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388 = -g - 3*g. Let l(t) = -6*t + 30. Let c be l(-8). Suppose w = -4*w + 4*z + g, 0 = 4*w - 3*z - c. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = v + 9. Let z(h) = 17 - h**2 + 23 - 3 - 26*h. Is z(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -254*f - 26422. What is o(-104)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-870))\/(972\/3240)?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y\/((y**(-4\/7)*y*y)\/y))\/y))**19)**(-42\/5))**(16\/7) assuming y is positive.\nAnswer: y**(-3648\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23145 = 227*s - 212*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 2*r**2 - 2*r**2)*(-5 + 1 + 3)*(-759 + 3776 - 369 + 1902).\nAnswer: 9100*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 11 = 5*m, 2*m + 20 = 4*u - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 - -72. Suppose -g - 4*n = -3*n, -d*g - 3*n + 6 = 0. Solve 3*r = -5*a - g, 4*r - 6*r - 2 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.76 - 0.24. Let p = r - -13.12. Let g = p + -0.22. Which is smaller: g or 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -234*z. Let j(w) be the first derivative of w**3\/3 + 215. Give j(q(b)).\nAnswer: 54756*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 235576750 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c - 2*c**2 - 14371*c**3 + 6 - c**2 + 1 + 14372*c**3. Determine t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1443 + 4616 = 32*p - 5819. What is the remainder when p is divided by 39?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10688 (base 11) to base 2.\nAnswer: -11110001100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 0 (c) -2\/20755 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2928 - -2928.1. Which is the nearest to -1\/8? (a) -1\/2 (b) -5 (c) -18\/19 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3307, 6630, 9971, 13336, 16731?\n\"Answer: p**3 + 3*p**2 + 3307*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.4 and -406 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32290231.3001 - -32288061. Let z = -2170 - g. Let q = z - 0.3. Round q to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3487 - -3491. Let o(t) be the third derivative of 1\/42*t**7 + 0*t**3 + 0 + 0*t**5 + 0*t**n + 0*t + 0*t**6 - 18*t**2. Factor o(q).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4\/5 + 6*w**3 + 158*w**2\/5 + 66*w + 40 = 0.\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**8\/240 - p**6\/180 + 5*p**3\/6 - 4*p. Let b(k) be the second derivative of h(k). Find the third derivative of b(v) wrt v.\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42698\/5 - 8547. Suppose 5*i = 5, -4*b + 3 = -i + 28. Is u < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*j**3*s*z - 65*j**3*s + 5*j**3*z**2 + 7*j**2*s*z**3 - 17*j*s*z**2 wrt z?\nAnswer: 10*j**3 + 42*j**2*s*z - 34*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 0 + 1\/2*r**3 - 1\/60*r**6 + 0*r**2 - 24*r + 3\/20*r**5 - 11\/24*r**4. Factor k(i).\nAnswer: -i*(i - 3)*(i - 2)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 5*o - 26, 2*p - 11*o = -9*o + 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**34*(k\/k**(-2\/23))\/(k*k**(-1\/2))*(k*k**0\/k*k*k)**3\/(k*k*k\/(k*k**(-1)\/k*k)*k)**(-20\/3) assuming k is positive.\nAnswer: k**(9281\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a. Let k(n) be the first derivative of 3*n**3\/2 + 62*n + 67. Let o(b) be the first derivative of k(b). Give o(m(d)).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 22.85005 centuries?\nAnswer: 27420.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3366)\/15147)\/(1\/(-423)*2).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhphphhhhhhp.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -607*j**3 + 225*j**2 + 5. Let p(k) = -3*k**2 - 2. Let c(v) = -3*p(v) - r(v). Find the third derivative of c(a) wrt a.\nAnswer: 3642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1026 divide 165125466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551 - 20267*u**2 + 20262*u**2 + 469.\nAnswer: -5*u**2 + 1020","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1445202 >= -1445170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*v + 82, -2*k = -0*k - v - 53. Suppose -15 = -3*w + 8*w. Let c = 16 + w. What is the remainder when k is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-50)\/((-4)\/(-2)). Let b(u) = u**3 - 7*u**2 + 6*u + 10. Let q be b(6). What is the greatest common divisor of z and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243620 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2427*d = -2543*d + 2668 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20068215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2 + 37*i - 132 = 0. What is i?\nAnswer: 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.4 + 35.4. Which is the nearest to v? (a) -0.1 (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24762, -24716, -24588, -24336, -23918?\nAnswer: -23292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -178125 divided by 12?\nAnswer: -59375\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3666*l + 42 = 5*z - 3668*l, -4*z = -30*l + 80 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*c = -250, -3*d - c = 274 + 81. Let r be 0 + 3688\/(-32) - (-6 - 243\/(-36)). Which is smaller: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3744 + -578. Suppose 0 = 4*n + 2*y + 3458, 4*y + 1164 + p = -5*n. Round n to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 89 = -4*f - 6, -2*y - 2 = 0. Let o = f + 26. Find the third derivative of -2*r**6 - 5*r**6 - 2*r**6 - 5*r**o wrt r.\nAnswer: -1080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 73 = l, -2*m + 2*l = l - 49. Let d be 1*(-3)\/m - 981\/24. Is -40 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -513658, -513694, -513730, -513766, -513802, -513838?\nAnswer: -513874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 12:53 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -173*t - 97330 - 19272. Let g be (-2290)\/(-2) - (4 + -2). Let p = t + g. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 8*s**2 - 73*s - 16. Give v(5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:06 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*u = 249*u + 110. What is the fourth smallest value in u, -5, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/36 in 2\/11, 4, 0.3, -37?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 75. Put 3, g, 4, -19 in descending order.\nAnswer: 4, 3, g, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 1497 = 3*g, -2*v - 4*g - 432 - 304 = 0. Let s = v + 380. Solve u - s*u + 6 = 2*l, -4*l = -5*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143 + -141. Let f(y) be the third derivative of 1\/72*y**4 + 0*y + 0*y**3 + 1\/180*y**5 - 2*y**v + 0. Factor f(i).\nAnswer: i*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48762, -48761, -48758, -48753, -48746, -48737?\nAnswer: -48726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3162 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530415429.\nAnswer: 3, 176805143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48124 = -1442*r - 10589*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.93 + -0.07. Let i = z - -1.4. Let h = 0 + 0. What is the nearest to h in -2, i, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1858*a - 8 = -5*z + 1855*a, -5*z + 44 = -6*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -12*x + 4*p, 203*p - 17 = -x + 199*p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 6*r + r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 9*k**2 + 3*k - 20. Let g be i(9). Calculate the highest common factor of g and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4346437 and -2.\nAnswer: -0.8692874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b - 9*b + 22 + 3*b)*(-5 + 4 + 2).\nAnswer: 2*b + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -364, -1\/37, -715, 1\/3?\nAnswer: -715","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 43*a**2 - 2791*a - 531. Determine m(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9787885 - 21288?\nAnswer: 9766597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 496\/7 - 4352\/63. Let b = 30937\/36 + -3437\/4. Let -b*s**2 + 8\/9*s - g = 0. Calculate s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8204\/(-45122)*3\/((-12)\/(-2))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29619612551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 147 = 3*n, -4*n - 4*z = -2*n + 128. Which is smaller: -56 or n?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/7 - 8070*r\/7 - 16281225\/7 = 0.\nAnswer: -4035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 8\nAnswer: -43\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 2*p - 1. What is t(-4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89060879 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 142, 154, 166, 178, 190, 202?\n\"Answer: 12*i + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 29*j + 46. Let x be v(2). Let o be (-3)\/(1\/2*2). Which is smaller: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 8*n + 10 + 5, 0 = -5*n - 5 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -3)\/((-10)\/6250*-10). Calculate the greatest common divisor of y and 3625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**8\/336 + 4*v**7\/105 - 11*v**6\/60 + 7*v**5\/15 - 17*v**4\/24 + 2*v**3\/3 - 23*v**2. Find o such that c(o) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ummzzmmozmomzoz. What is prob of sequence oomu?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 1)*(18*p + 13*p + 1 - 34*p) as k*p + z and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 - 8054*r**3 + 65019220*r**2 - 529789412350*r\/3 + 9856239414625.\nAnswer: (r - 8035)**3*(r - 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 47 - (-1 - -29 - 38)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 5*w**2 - w - 2. Let b(u) = -u - 1. Let s be b(-2). Let n be (8\/(-10))\/(s\/(-5)). What is the remainder when 18 is divided by d(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**36\/(q**(-2\/3)\/q*q**6\/q) assuming q is positive.\nAnswer: q**(-226\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 - 6*p + 7. Let z be h(6). Suppose 0 = -2*b - 29 + z. Suppose -b - 126 = -a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1799771 (b) -5 (c) 4 (d) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z - 8. Let t be z\/(-14) + (-20)\/(-28). Suppose 0 = -0*h + 3*h + 3*r + 18, 12 = -h - 3*r. Put -4, t, h in decreasing order.\nAnswer: t, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71844 is divided by 23830?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**6\/40 - 21*d**5\/4 + d**4\/8 + 105*d**3\/2 - 7983*d**2. Find w, given that o(w) = 0.\nAnswer: -105, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -5*i**9\/3024 - i**5\/24 - i**3\/3 + 5. Let m(d) be the third derivative of g(d). What is the second derivative of m(f) wrt f?\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from qwnqffq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 552053, 1104100, 1656147, 2208194?\n\"Answer: 552047*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3436*w + 4315607. Determine l(1256).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 3*k**2 + 3*k - 5. Determine j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 266*w + 44421. Determine v(-167).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -93594*x**2 + 16216?\nAnswer: -187188*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/6*(-9)\/2. Let p = 2 + 5. Let f(a) = 0 + 4 - 3 + p*a + 5 + a**2. Calculate f(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 38 + 20 - (2 + 5 + 1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 10 = 4*v. Let g(z) = -8*z - 8. Let d be g(-6). Suppose -i = -v*i + d. What is the remainder when i is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28 - 3432?\nAnswer: -3460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 10*l**2 - 6*l. Calculate b(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 o when four letters picked without replacement from {x: 12, o: 6}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j = 9. Let t(c) = c + 3. Calculate the smallest common multiple of t(j) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3739561?\nAnswer: 7, 19, 31, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 117, 0, -491, -1542, -3339?\n\"Answer: -31*v**3 - v**2 + 103*v + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2989 - -8306. What is the greatest common factor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69293527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35139, -35159, -35179, -35199, -35219, -35239?\nAnswer: -35259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 149141 (base 12) to base 16\nAnswer: 54d81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 594 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 522480 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 272*r**2 + 3*r.\nAnswer: 272*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41904*h**3*i**2 - 70*h**3 - 93*h + i**3 - 1 wrt i?\nAnswer: 83808*h**3*i + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195468329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = 4. Let k(f) = -3*f**2 - 2*f + 5. Let l be k(w). Let c(q) = q + 17. Let p be c(l). Are p and -1\/12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/12 - 422\/(-8). Suppose -251 = -3*f - j. Suppose 0*v + 3*v = f. Calculate the lowest common multiple of v and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 1107243\/7, -2\/7 in descending order.\nAnswer: 1107243\/7, -2\/7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -749.342 - -750. Let w = d + -0.635. What is the closest to -1\/2 in w, -2, -2\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5)*h)\/h**(3\/13)*(h**(-17\/4)\/h*h)**(-8))**23 assuming h is positive.\nAnswer: h**(52578\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5 + 1934*d**4 - 833388*d**3 - 4216964*d**2 + 833386*d + 4215030 = 0. What is d?\nAnswer: -1289, -5, -1, 1, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315 and 5508930?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (5 + -5 + 25).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 + 83. Put -0.3, -1, i, 4\/7 in ascending order.\nAnswer: -1, -0.3, i, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j - 41*j + 18 = 0. Which is smaller: -114\/13 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from eeegeeggee?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 9:22 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 0)*(-2 + 4). Solve 0*m + s*m = 6, 0 = 5*i - 2*m + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouha when four letters picked without replacement from {u: 2, v: 1, a: 1, o: 1, p: 1, h: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*((-105299)\/3190 + 33).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 e when four letters picked without replacement from ioiieeeciieiici.\nAnswer: 32\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 933669 and 282930?\nAnswer: 9336690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c - 1 - 49*c + 0 - c to the form g*c + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**5\/120 + 3*a**4\/8 + 37*a**3\/6 + 103*a. Let k(n) be the second derivative of t(n). Give k(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7848*v**3 + 1 + 7701*v**3 - 2.\nAnswer: -147*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 41. Let j(v) = 2*v**3 + v**2 - 1. Let p be j(1). Which is the biggest value? (a) p (b) s (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and 1876.\nAnswer: 225.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 13*u**3 - 29*u**2 - 475*u + 22. Let r(d) = 10*d**3 - 21*d**2 - 356*d + 16. What is -11*r(o) + 8*y(o)?\nAnswer: -6*o**3 - o**2 + 116*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 14*m**2 + 11*m + 5. Suppose 3*j - 36 = -3*c, -28 = -4*j - c + 2*c. Let g(q) = -5*q**2 - 4*q - 2. What is j*g(v) + 3*z(v)?\nAnswer: 2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 3*c. Find the second derivative of 10*d**5 - 2*d**3 + 2*d**3 + c*d + 6*d wrt d.\nAnswer: 200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 1. Let z(n) = -n**3 + 9*n**2 + n - 3. Let g(s) = -m(s) + z(s). What is the remainder when (27\/(-6))\/(1\/(-6)) is divided by g(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1587 = -3*l - 837. What is the remainder when 247 is divided by l?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 1) + -44 + -3. Let h = 91 + i. 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 w = 129 + -125. What is the least common multiple of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 421704 and 846.\nAnswer: 19820088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 30 = 4*y + y, -24 = -2*f + 4*y. Solve f*n = 21*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**11*r)\/((r**(-1\/35)*r)\/r) assuming r is positive.\nAnswer: r**(421\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12741\/(-651) - ((150\/14)\/(-3) - (-67 + 64)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/1128 and 29\/4875651.\nAnswer: 1833244776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(sqrt(425))**2.\nAnswer: 8500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*x = -128*x - 31 - 10679 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -102681\nAnswer: -1\/102681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -194*r - 395?\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let i(j) = -16*j + 0*j - 3 - 4*j + 3. Calculate x(i(t)).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.7865 + -4.8. Round d to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171 divided by -210676.\nAnswer: 171\/210676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 5957, 58\/9, -0.4 in descending order.\nAnswer: 5957, 58\/9, -0.4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25419 is divided by 8452.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7614 and 2979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2. Let t(g) be the first derivative of 0*g**2 + 0*g - 26\/3*g**3 - 10. Determine v(t(q)).\nAnswer: 1352*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7225690 divided by -10?\nAnswer: -722569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52069006 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -37, -3, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4 (b) 26\/23 (c) 2\/17 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**4\/6 + 609*d - 2. Let j(l) = 83*l**2. Give j(x(y)).\nAnswer: 332*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2493771 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + (sqrt(30) - (sqrt(30)*2 - sqrt(30)))\/sqrt(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (-6)\/(-9)*-12 + (-140)\/(-75). Let r = -2 + 2. What is the nearest to r in 1, b, -2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - j**2 + j. Let v(d) = 5*d**3 - 3*d**2 + 2*d - 5. Let l(h) = -4*r(h) - v(h). Let n be l(6). Let f(a) = 0*a - n*a + 5*a + a + 4. Give f(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 + 2*z**2 + 19*z + 0*z**2 + 2*z**2 - 6*z**2 as m*z**2 + o*z + r and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llml when four letters picked without replacement from mjmjamijiljljajmmlij.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 90080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1794, -3565, -5336, -7107?\nAnswer: -8878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 2*d + 2. Let p(u) = -u**2 - 11*u - 22. Let j be p(-9). Determine h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -262*r**4 - 1745*r**3 + 1745*r**3 + 6*r**4 + 19*r**2 - 19*r**2 + 5*r**4 - 3*r**4 - 3*r**4 + (-2*r**3 + r**3 + 0*r**3)*(r - 1 + 1).\nAnswer: -258*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-88)\/(-24) + (-5)\/3. Solve 5*l + 4*w - 27 = 0, l + 11 = 4*w + r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 28*b - 481. Calculate u(34).\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/11 or -62244.05?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -12.8. Let f = -0.2 + n. Which is the second smallest value? (a) -1 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppp. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 0.1, -126333?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -475134, -950173, -1425212, -1900251, -2375290, -2850329?\n\"Answer: -475039*x - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 3*n - 2*n)*(14*n + 586 - 586) - 3*n**2 - 4*n**2 + 10*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 9*z - 44. What is w(11)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cbb5 - 204a?\nAnswer: -10c21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 14*b**3 - 3*b**2 - 3. Let y = -2707 - -2710. Let m(z) = 29*z**3 - 7*z**2 - 7. Calculate y*m(a) - 7*f(a).\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 3*r**2 - 4*r - 9. Let y be s(-4). Let b be y\/12 - (-11)\/4. Suppose -4*j = -2 - 2. Sort j, b, 0 in increasing order.\nAnswer: 0, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 10*c - 6. Let l = 20 + -13. Let f be b(l). Calculate the highest common factor of 105 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4659?\nAnswer: 3, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*w - 1256 = n + 160*w, -n = -5*n + n + 5*w + 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 281*r**5 - 803*r + 803*r + (4*r**2 + r**2 - 4*r**2)*(r**3 - 4*r**3 + 5*r**3).\nAnswer: 283*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63 times -2?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5052400.\nAnswer: 2, 5, 17, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/84 and 41\/23055.\nAnswer: 645540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 5. Let j be ((-24)\/15)\/((-6)\/15). Suppose -t*o + 6 = -j. Solve -z + 7 = 5*q, o*z - 3*q + 9 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2 + 221 + 2. Suppose 5*j = -5*p + f + 1386, p - 334 = -5*j. What are the prime factors of p?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1998 and 1647018?\nAnswer: 4941054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429422822?\nAnswer: 2, 17, 12630083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/30 + 3*r**5\/20 - 17*r**3\/6 + 2*r**2. Let y(i) = -i**3 + 2*i**2 - 4. Let v be 4 - 2 - 4\/1. Determine v*k(t) + 9*y(t).\nAnswer: -t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**2\/5 + 933520*v + 4667596\/5 = 0.\nAnswer: -1166899, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67\/4 - -16. Let b = -0.03 + 0.43. What is the closest to y in -5, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6) + 115\/15. Let b be (n\/(-12))\/((-4)\/216). Let y be -3 + 2 - b\/(-9). What is the third biggest value in -3\/8, -1\/6, y?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/6, 6\/25595, -482?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -g, -d - 4*g = -g - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*z)*(-50*z - 58*z - 129*z) - 3 + 3 + z**2.\nAnswer: -473*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4915 - 0.17.\nAnswer: 4914.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 7*m**2 - 9*m - 6. Let c be f(-8). Let x be c\/6 + 95\/3. Suppose 4*w + x = 92. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 309910 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 677, 687, 709, 749, 813, 907, 1037?\nAnswer: 1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-2) + (0 - -2). Suppose v*h - h = -4. Which is the smallest value? (a) 1 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b + 2. Let h be s(0). What is the smallest common multiple of 0 - (0 + -26)\/h and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28, 66, 160, 254, 348?\n\"Answer: 94*x - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-208)\/(-6) - (-3)\/9. Let t = q + -21. What is the remainder when 53 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2. Let f(m) = -3*m + 3*m + 486*m**2 - 490*m**2. What is f(d(o))?\nAnswer: -64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 991003 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -198 + 205. Let o(k) = -36*k + 49. Let l be o(i). Is -202 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 3. Let x be a(4). Let b = 5 + x. What is the third derivative of 2*s**4 + 2*s**2 - 5*s**b + 0*s**4 wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -5*t**3\/6 - 11*t - 13. Let j(g) be the first derivative of h(g). Let i(v) = 2*v. Give j(i(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -39*q**3\/2 - 43*q**2 - 7*q - 1. Differentiate n(v) wrt v.\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034 is divided by 119?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10 - (-30)\/5 - (-1 - 2). Let d be (-1)\/y - (-23 + 8). Solve 3*c - 1 + d = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80760468 and 62664?\nAnswer: 4476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41, 75, 95, 95, 69, 11, -85?\n\"Answer: -a**3 - a**2 + 44*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + u**3 + 2*u**3 + u**3 + 0 + 0 + u**3 + 2 - 2 + (-2*u**3 + u**2 - u**2)*(-2 - 1 + 1) + (-11*u + 0*u - 6*u)*(-3 - u**2 + 3).\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7863*i = 7859*i - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2. Let r(g) = -1842*g. What is r(z(u))?\nAnswer: 3684*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 706 = 6*n + 670. Sort -49, n, 3, 0 in descending order.\nAnswer: n, 3, 0, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10825248 by -42.\nAnswer: 257744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(4\/5))\/a*a)\/a*a**(-3)*a*(a\/(a\/(a\/(a*a**(4\/9)*a))*a))\/a*a\/a**0 assuming a is positive.\nAnswer: a**(-191\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20434830, -40869658, -61304486, -81739314?\n\"Answer: -20434828*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 + 145. Let q be (o + 13\/2)*6. Which is bigger: 29 or q?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -192 - -193. Suppose 2*o = 4*w - 66, 0 = -2*o - k + 3. Suppose -170 = -2*n - 3*n. What is the highest common divisor of w and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, l: 7}. Give prob of picking 3 l.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q + 2. Suppose -192*i**3 + 29*i**q + 31*i**2 + 12*i**3 - 5*i = 0. What is i?\nAnswer: 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + (-1 - (-38 + 51)) + 44.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6319 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1552900530 divided by -45673545.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 388, 760, 1132, 1504?\n\"Answer: 372*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320627.\nAnswer: 320627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 52 = -t. Suppose 3 - t = 7*q. What are the prime factors of (1*-8)\/(q\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4764 is divided by 44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1459 divided by -6841.\nAnswer: -1459\/6841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 74, 550, 1840, 4352, 8494?\n\"Answer: 68*n**3 - n**2 + 3*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q**3 + 75056*q**2 - 75056*q**2 + 8.\nAnswer: 21*q**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stss when four letters picked without replacement from tsttttttsstttttttst?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*c**3 - 3*c**3 + 2*c**3 + 3*c**2 + 30*c - 6*c**3 - 2*c**3 wrt c.\nAnswer: -96*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 7 = -1. What is the remainder when 29 is divided by (1 - (-3 - w))*16\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 - (-5 + (-6 - -14)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 - 3*r**3 + 2*r**3 - r**3 - 2*r**3 + 4*r**3 + (r - 1 + 1)*(-1 + 3*r**2 + 1).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/3207 - 86573\/51312. Is -1 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v**2 + 0*v**2 + 3*v**2)*(196 + 147 + 190 + 77) in the form x*v**2 + k + l*v and give x.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49170, -49154, -49138, -49122, -49106?\nAnswer: -49090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*x**3 - 182*x + 2255?\nAnswer: 9*x**2 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0 = 6. Let c = 0.7 + 1.3. What is the third smallest value in b, c, 5\/6, 3\/7?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*(2 + (sqrt(700) - (1 + sqrt(700) + -2))))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-69)\/12 + 3)*-8. Let c = -20 + 37. Let d = g - c. Solve u + d = 0, 3*i = 6*i + 4*u + 23 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -3 (c) -12 (d) -1.9 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 - -80. Let f = 13 + -9. Solve -v*p + p = f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 + 0*j**3 + 2*j**3 - 4*j**3 + 4*j**3 + j**3 + (5*j - 4*j + 0*j)*(3*j**2 + 0*j**2 - 2*j**2) + 17 + 63764*j - 2*j**2 - 27*j**3 - 31884*j - 31891*j.\nAnswer: -26*j**3 - 2*j**2 - 11*j + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436676243 a multiple of 3533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 18 = -2*r - 5, 0 = -3*r + 12. Suppose 0 = h + 3*n + 2*n - 12, 5*h + n - 36 = 0. Calculate the smallest common multiple of h and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*(sqrt(117) + -1*sqrt(117))*-6)\/(6*(sqrt(1089) - (sqrt(1089) + sqrt(1089) + sqrt(1089)*1)) + -6*(sqrt(1089) + sqrt(1089)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 115832 less than or equal to 115830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76496*q**3 + 20544*q**2 - 76498*q**3 - 20544*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 195, 0, 5 in decreasing order.\nAnswer: 195, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.40685 + -0.82111. Round r to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15, -4, -60, 4, 22.\nAnswer: -60, -4, 0, 4, 15, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(243) - (sqrt(243) + (sqrt(243) - sqrt(243)*5))**2) + sqrt(33)\/(sqrt(66)\/sqrt(6)))*4.\nAnswer: -8768 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117468009 to the power of 1\/2, to the nearest integer?\nAnswer: 10838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 9*v**2 + 8*v - 13. Let r be o(8). Suppose 42*x - r = 41*x. Is 35 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/(-24) + (-45)\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125336912.73 rounded to the nearest one million?\nAnswer: 125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a factor of 228247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -257085.5636.\nAnswer: 257085.4636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*a**5 - 15*a**2 + 92*a - 1?\nAnswer: 340*a**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t**2 - 276*t - 114. Let w be p(-34). Solve 0 = -w*c + 23*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6*x = 3*k - 14, 0 = -x + k - 2. Let u be 0\/(((-8)\/x)\/4). Suppose -5*n - b + 1 = -9, -4*b - 14 = 2*n. Solve 0 = -n*t - u*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -2) + 11 + -7. Find the third derivative of 48*u**2 - 98*u**6 - 4*u**4 + 13*u**f - 9*u**4 wrt u.\nAnswer: -11760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -112057, -219419, -326781, -434143, -541505, -648867?\n\"Answer: -107362*o - 4695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4743 + 169?\nAnswer: -45da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 7\/201 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8417 = 73*y - 28375. Is y a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43342*b = -43345*b + 66 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1438823*m*r**2 + 162*m - 34358 wrt r.\nAnswer: 2877646*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -10.1. Let i = 0.059 - 0.959. Let r = f + i. What is the smallest value in -4, r, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let c(y) = -12*y. Suppose 4 = 2*n + l, 5*n - 4*l = l - 35. Determine n*c(t) - 6*j(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -511?\nAnswer: -9\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 10*t**2 + 21*t + 22. Let r be k(6). Solve -r*c + 5*z + 20 = 0, -c + z - 1 + 6 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1500) - (-1*sqrt(1500) - sqrt(1500)) - sqrt(1500)))\/(-4*((sqrt(180) - -1*sqrt(180))\/sqrt(6) + sqrt(30))\/sqrt(6)).\nAnswer: 20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*i + 443 + 227 = 0, -4*k + 667 = -i. Let g(v) = v**3 - 13*v**2 + 41*v - 169. What is the remainder when k is divided by g(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -0.9, -0.093, -4, -1 in ascending order.\nAnswer: -4, -1, -0.9, -0.093, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.019351 decades in months?\nAnswer: 242.32212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -130 - -104. Let c(g) = -g**3 - 28*g**2 - 51*g + 28. Let y be c(t). Solve 2 = i, 5*i - y = d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*u + 3*g, 0 = -3*u + 4*g - 2 - 6. Let s(w) = w**2 + w - 21. Give s(u).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a**2 + 7193619988 - 7193619988 - a.\nAnswer: -18*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4 - 12*t**2 + 0 + 14*t**2 + 0. Let j be l(-2). Suppose -4*o**3 + 4*o - j*o**2 + 0*o**2 + 4*o**4 + 5*o - 5*o = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.53 + 0.43. Let d = -0.8 - r. Let l = -9.3 + d. What is the third biggest value in 4, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-12 - -3))\/(-15 + 211\/14)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4246866, -8493525, -12740184?\n\"Answer: -4246659*s - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-762)\/(-254)*(-2)\/26)\/((-1)\/(-1)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4 + 6*x**2 - 4*x**2 - x + 7 + 6*x. Let v = 25 + -27. Let z be (1 + 0)\/(v\/6). What is n(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-35) - 90\/(-28))*48\/84. Let q(h) = h**3 - 4*h**2 + 2*h - 3. Give q(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11340913*u**3 + 11340913*u**3 + 2*u - 26*u**4 + 4*u**2 in the form h*u**4 + r + x*u**3 + z*u**2 + b*u and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/38)\/(c**(-2\/13)\/c*c) assuming c is positive.\nAnswer: c**(89\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.022 and 0.041?\nAnswer: -0.000902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*t - 5, -5*t + 39 + 11 = -5*j. Let u(l) = -4*l + 6. Let b(x) = -5*x + 6. Let g(m) = 2*b(m) - 3*u(m). Calculate g(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 + 1008*p + 6888. Calculate the least common multiple of t(-7) and 8\/3*3\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523 = 34*o - 143*o + 4*m + 111, 0 = 4*o + 2*m - 34 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8643674?\nAnswer: 2, 13, 107, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -527490672*i**4 + 5*i**2 - 94*i - 128314.\nAnswer: -12659776128*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*b + 4*z, 3*z = -3*b + 7 + 5. Let l = b + -1. Suppose l = -6*k + k + 40. Solve -q = 3*q - k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -17213517*a**2 + 3. Let h(p) = -2*p. Give h(s(x)).\nAnswer: 34427034*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 621\/4 - 146. Find the common denominator of -47 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -2 - 1\/60*h**5 - 2\/3*h**3 - 3\/2*h**2 - 1\/6*h**4 + 0*h. Let b(o) be the second derivative of x(o). Factor b(c).\nAnswer: -(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -306, -888 in ascending order.\nAnswer: -888, -306, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-189)*31 - (-6 + 0).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-940)\/45*(-9)\/2. Suppose k - 80 = -2*l, -4*k + l = -271 - o. What is the lowest common multiple of k and 4?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -307 - 63.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 5*r = -5*w - 56, -r + 4 = 0. Suppose 4*m = -5*p + 336, 4*m = 3*m + 4*p + 84. What is the highest common divisor of w and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487499 is divided by 758?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - l**2 - l - 39. Let h be (-4)\/5 + 624\/80. Suppose -h*p - p = -0*p. Give z(p).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-11)*l)\/l**(-7\/2))\/((l\/l**(3\/8))\/(l\/(l\/(l\/l**(-3))*l))) assuming l is positive.\nAnswer: l**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t - 1. Let j = -37164 + 37218. Calculate the remainder when j is divided by n(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7553 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 - (-68 + 16 - -72).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*o + 6\/5*o**2 + 264\/5.\nAnswer: 6*(o - 11)*(o - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let g be ((-2)\/(-3))\/(1\/(-9)). Let x(q) = 10*q - 3. Let k(b) = b + 1. Let p(h) = g*k(h) - 2*x(h). Give p(a(o)).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53240151 (base 6) in base 12?\nAnswer: 633057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f - 1. Let q be k(-1). Let g be 2*(q - -3)\/2. Suppose -6*m + 35 = m. Sort g, -3, m.\nAnswer: -3, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(sqrt(5) + sqrt(320)) + -5 + 1 + (sqrt(125) + 2)*5*5).\nAnswer: 230 + 805*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtavoataovvvvkv. Give prob of picking 1 k and 1 t.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 56. Calculate the smallest common multiple of 16 and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2250 is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8294741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1729*j - 18 + 16 + 332*j)*(j**2 + 3*j - 3*j) + 0*j**3 - 5*j**3 + 2*j**3.\nAnswer: -1400*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*z - 3)*(-3*z - 4*z + z).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -9, 12, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*c + 5*v - 3 = -268*c, -3*v + 25 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84764, 169532, 254300, 339068?\nAnswer: 423836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -117.4354946 to three dps.\nAnswer: -117.435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/768 and -53\/960.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140 - -140.04. Which is the third smallest value? (a) -2\/3 (b) -2\/21 (c) g (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10908*i - 380 = 10918*i for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63467 is divided by 447?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 43. Let l = 62 - 41. Let x = l - y. Let o(w) = 4*w**2 + w - 1. What is o(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + -2 + 23 - (-62 - -4) - 17.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*c = -114*c + 96. Which is greater: c or -39?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**6\/60 + 13*x**5\/60 - 18*x**2. What is the third derivative of f(h) wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 5*p**3 - 12*p**3.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1, -3, -1\/2, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 232*i**2 + 33*i - 35. List the prime factors of y(4).\nAnswer: 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1680426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from vrrtvotxtooootovt?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 1 + 7 - c + 2 - 2*c. What is x(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(1 + 6\/(-2)). Let r = 7 - 7. Solve -c*p + 3*w = 3, r = 4*p - 3*w + 8*w + 40 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -5*q + 57. Suppose 2*v + l - 39 = 0, 9*l = -v + 6*l + 32. Calculate the remainder when q is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -438, -436, -434?\n\"Answer: 2*c - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 - 2*p - 3. Let f(s) = s**3 + 12*s**2 + 12*s + 13. Let r be f(-11). Let l(j) = j**r + 0 - 5 + j + 8 - 2. Determine 3*h(a) + 7*l(a).\nAnswer: -2*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 28*k - 5. Let z be g(-5). Let u = 1163\/8 + z. Let w be (-1 - -1) + 12\/12. Which is the nearest to u? (a) 0.2 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64777, 3, 6, -53, 0.4 in ascending order.\nAnswer: -64777, -53, 0.4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 118, -5, 1\/6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101110 (base 2) in base 15?\nAnswer: 22e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -1457\/15. Let y = -34958\/9 + 3884. Sort s, -1.5, 4, y in ascending order.\nAnswer: -1.5, y, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 9:46 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*u - 3*u - 3*u + (6 - 1 - 4)*(0*u - 3*u + 2*u).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*f + 21 = -66, -4*j + 79 = 5*f. What is the remainder when 7663 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1123259 is divided by 2316?\nAnswer: 2315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -54115, -54103, -54091, -54085, -54091?\n\"Answer: -f**3 + 6*f**2 + f - 54121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 2*t**3 + t**4 - 88*t**3 + 88*t**3 + 7*t**4 + (-6*t**3 + 2*t - 2*t)*(-4*t - 9 + 9) - t**4 + 0*t**4 + 10*t**4.\nAnswer: 41*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1784.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 10*b + 14. Let t be v(-6). Let i = t + 10. Suppose 3*x - 3*m - 6 = i, 0*m + 11 = x + 2*m. Solve -s + 4*q = s - 14, x*s = 3*q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 201786\/55 + -3669. Calculate the common denominator of -47\/30 and u.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-1679.\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/95*(-650)\/14170.\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02373 rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -7362400 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 321667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13726658 and 28765?\nAnswer: 68633290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0\/((i\/(i**(1\/5)\/i))\/i))\/(((i*i**(1\/18))\/i)\/i**(-6\/11)))**(-1\/5) assuming i is positive.\nAnswer: i**(1387\/4950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1121 + 2263 + 21*x - 1140. Let b(h) = 3*h. Determine b(o(g)).\nAnswer: 63*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**7\/840 - f**5\/60 - f**4\/12 - f**3\/6 + 3*f. Let i(p) be the second derivative of s(p). Calculate i(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) - ((-636004)\/8 - 0). Round h to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.063 * 2.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5 + f**4 - 361457*f**3 + 22951060*f**2 wrt f.\nAnswer: 120*f**2 + 24*f - 2168742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + -105 + 107?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5 - -6) + 1 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1 + 2 + 5 - 6 + (4 + 1 - 3)*(-2 + 3 + 0) + (6 + 27 - 7)*(5 - 4 - 6))*(0 + 0 + 2*d) + (0*d - d - d)*(0 - 6 + 4) + 4 - 4 + d + d - 4*d + 2*d.\nAnswer: -254*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3419 - -c5b?\nAnswer: -259c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (640\/60 + -10)*(-49)\/14.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + (-1 + ((sqrt(100)*-1)\/sqrt(4))\/(sqrt(5) - (sqrt(5) + -5*sqrt(10)\/sqrt(2) + sqrt(5))) + 0)**2 + 5.\nAnswer: -27\/16 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvcvvgovcvcvvvvo. Give prob of sequence vvo.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9 + 1)*((-100)\/(-75) + (-168)\/108). Solve h*q**2 - 2\/9*q**3 + 32\/9 - 40\/9*q = 0 for q.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1910\/8 - 21\/28. Let o = -242 + p. Sort 4, o, -1, 5 in ascending order.\nAnswer: o, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 53, 224, -1, 1 in descending order.\nAnswer: 224, 53, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45722281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.2807 times 0.02\nAnswer: -0.045614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100 - 2683255*z + z**2 + 0*z**2 + 2683207*z.\nAnswer: (z - 50)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*l**2 - 3*l**2 + 13*l**2.\nAnswer: 46*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*c = 22, 6*t - 4*c - 26 = t. Suppose 0 = -4*y + 2*p + 20, -3*y - t*p = -2*p + 7. Solve 0*l = y*l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, n: 3}. Give prob of sequence nt.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2*x - 2*x)*(0 - 2*x + 0) + (4*x**2 - 4*x**2 - 3*x**2)*(-3 + 2 + 2).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/71 in -5, 2, 8, -198, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8463, -75, -49, 2 in ascending order.\nAnswer: -8463, -75, -49, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 582\/3*((-10)\/5)\/870. Let h = y - -4\/87. Are h and 2\/113 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*n - 113 - 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -39\/2*d**2 + 149 + 0*d - d**3. Factor l(h).\nAnswer: -3*h*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 684016965 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 45784 divided by 347\nAnswer: 45784\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1 + 15 = -4*t, 3*q + 8 = -2*t. Let n = 12 + 3. Suppose -2*k - 35 = k + 4*x, -k - 2*x - n = 0. Which is greater: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 h when four letters picked without replacement from fhhhhfhhh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**4\/12 + 13*p**3\/6 - 11*p**2\/2 + p. Let a be -5*85\/(-25) - 5. Let o be j(a). Solve -v = -0 - o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -475 + 479. Suppose -4*j + 284 = -13*o + 8*o, -v*j + 272 = -2*o. What is the greatest common factor of 231 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-115)\/20 + 2 - -4. Which is the smallest value? (a) 1\/14 (b) h (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 26*o**2 + 32*o + 136. Let y be b(-27). Let d = 8 - 5. Solve -5 - y = -d*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195\/7*m**2 - 3\/7*m**4 + 0 - 99\/7*m - 93\/7*m**3 = 0. What is m?\nAnswer: -33, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -2*m**5\/15 - 7*m**4\/3 + 32*m**3\/3 - 50*m**2\/3 + 34*m\/3 + 40. Let t(k) = 0. Calculate k.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 756 and 5232?\nAnswer: 329616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 8*p**2 - 6*p + 2. Give r(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 16641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7689 + 7689 + 2*k**3 + 6*k. Let g(z) = -z. What is 12*g(c) + 2*n(c)?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = 11. Suppose 0 = v - u*x - 2, 2*v - 5*x = 5*v - 6. Suppose 2 + v = -2*m, -a + m + 46 = 0. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21164028 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -3)\/((-4)\/28). Let f = 608 + -2453\/4. Calculate the common denominator of f and -14*z\/48 - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172192967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1064775594*d**4 - 477748908*d**2?\nAnswer: -25554614256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*p + 183*p + 12 = 0, t + 5*p - 35 = 0. Sort -4, -3, -2, t in descending order.\nAnswer: t, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 339 + -339.3176. Let o = -0.3 - w. Let h = o + -0.026. What is h rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**3 - 117*g - 121*g + 24*g**2 + 3 + 46*g. Determine a, given that h(a) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7452 + -7402. Suppose -10 = -2*m + m. Calculate the highest common divisor of k and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.044 + -0.044. Let f = 115 + -108. Let y = -2.94 + -0.06. Which is the third smallest value? (a) y (b) -5 (c) f (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c - 3*c + (-2*c + 2*c + c)*(-4 - 4 + 4))*((-5879 - 4902 + 9894)*(-2 + 5 - 4) + (-1 + 0 + 0)*(5 - 2 - 1) + 3 - 1 + 0).\nAnswer: -4435*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 723, 1397, 2071, 2745, 3419?\nAnswer: 4093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9815*d**3*t - 2*d**3 + 2*d + 374 wrt t?\nAnswer: -9815*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 - (-26 - -21)) + 39 + -40.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.226046 decades to centuries.\nAnswer: 0.4226046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + m**2 + 2*m**2)*(-19414 - 15804 + 1932) to k*m + s*m**2 + b and give s.\nAnswer: -33286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -16, -18, -24?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r + 4*r)*(29 + 5 + 106) + (-6*r + 5*r + 3*r)*(0 - 1 + 3).\nAnswer: 284*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 26*m = -30, -4*m = -4*g + 58428. What are the prime factors of g?\nAnswer: 3, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 8 = -3*k, -15*p = 45*k - 48*k - 48 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-14) - (-170548)\/49. Suppose -5*a = -3*q - 4357, 4*a - 11*q = -10*q + i. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -104?\nAnswer: -104.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/64 and 51\/36560.\nAnswer: 146240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54456 (base 8) in base 13?\nAnswer: a512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -39*z**3 + 2994846*z**2 - 5759211*z + 2764404 = 0.\nAnswer: 12\/13, 1, 76789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/3 + 1 + 7. Calculate the highest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/(-12) + 3\/12. What is the nearest to 2 in -0.2, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 13. Suppose -o*x + 8 = -4*x. Suppose x*u - 30 = 80. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23.5336 and 16.15.\nAnswer: -7.3836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.2 (b) -77\/8 (c) 2\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4559779 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: What are the prime factors of 27184061?\nAnswer: 3677, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s + 22. Let d be j(-7). Let w = 25 + d. Suppose 0 = b - w*b + 320. What is the greatest common divisor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8693 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 1 = -5*c, 5*d + 265 = 5*c. Let k = d - -56. Suppose 3*q = -3, m + 0*q - 10 = k*q. Solve 5*h - 30 = 3*n, m*n + 31 - 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 584025405 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -21*(-3 + (-20)\/(-6)). Let y = l - -10. Let b be 1 - (1 + -3 - -2). Solve -y*t + b = -2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17722.3 + -3409.3. Let x = q + -14312.3607. What is x rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0 - -15) + -2. Let d = j + -12. Suppose -5*t + 190 = d*g, 4*t + 3*g = 168 - 23. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -3, 194, -278, -2, -5 in ascending order.\nAnswer: -278, -5, -3, -2, -1, 0, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8192577 + 16?\nAnswer: 8192593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3604 - -21553\/6. Suppose -6 - 9 = 5*n. Calculate the common denominator of c and (n - 372\/(-64)) + -1.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**3 - 4*p**2 + p - 5. Let o(t) = -11*t**3 + 7*t**2 - 2*t + 9. Let a(u) = 4*u + 12. Let m be a(-4). Calculate m*o(h) - 7*i(h).\nAnswer: 2*h**3 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16606989991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-826)\/(-49))\/((-1)\/7).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.4 - 4.8. Let t = -20.1 + o. What is t rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l = 4*l + 60 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 1712?\nAnswer: 23968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjhlz. Give prob of sequence jzml.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**2 + 37*h**2 - 5 + 4 - 2 to r + s*h + b*h**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 28681483?\nAnswer: -28681488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 8:18 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 303*m + 6800. Let l be h(-24). Calculate the highest common divisor of 206 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6926.0715441 - -6643.07154729. Let n = r - -283. Round n to seven dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 - 2 = 6*h - 21 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5413 (base 10) in base 14?\nAnswer: 1d89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -3. Is (324\/15)\/1 - (-3)\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r - 3*d + 4 = 0, 8 = -2*r + 3*d. Let y(q) = -q**3 + 5*q**2 - 3*q + 3. Let j be y(5). What is the remainder when (-3)\/j*-2*-4 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40875116.9063991 + -1.0936009. Let c = -40875117.81799887 - o. Let d = 0.182 - c. Round d to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2497*q - 454. Let l(g) = 14*g + 2. Calculate -2*h(k) - 454*l(k).\nAnswer: -1362*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + 6 + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-1\/5)))\/p*p*p*p*p*p*p**(3\/2)*((p*p**(-18))\/p)\/(p\/(p\/((p\/(p\/(p\/p**(-3))))\/p))) assuming p is positive.\nAnswer: p**(-157\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - ((-3 - -3) + -2 + -2)) + 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5668 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/(-380) + 26\/(-20) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -26*i. Let o be 24\/(-90)*-5 + 2\/3. Let v(c) = -10*c**o + 24*c + 7*c**2 - 24*c. Give r(v(w)).\nAnswer: 78*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025918.354 rounded to the nearest one hundred?\nAnswer: 1025900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let n(j) = 7*j + 34. Let y(k) = k + 12. Let g(a) = 6*n(a) - 17*y(a). Give g(l(o)).\nAnswer: 50*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 245998*z + 1475967. Give r(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -380977?\nAnswer: 1904885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7*w = 18. What is the least common multiple of w\/(4\/(-12) - 0) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25455117 and 3477?\nAnswer: 25455117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + 4 + -71 + 22 + (6 - 5).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10966, 41483, 72000, 102517, 133034?\nAnswer: 163551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from sslillliliilsls.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 2*a**3 - 14 - 22 + 3*a + 72 - a**2 - 20 as w + k*a**3 + z*a + d*a**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 318635 - 318635. Factor -1\/7*y**4 + 15\/7*y + 9\/7*y**3 + o - 23\/7*y**2.\nAnswer: -y*(y - 5)*(y - 3)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6041741 is divided by 26383?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*t - 3*y + 52, 2*y + 25 = t. Suppose -26*o + 15*o + 407 = 0. What is the remainder when o is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0\/(-1) - 4\/608)*1054\/248 and -29\/104.\nAnswer: 7904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 500 - 56. Suppose 3*f = -f + n. List the prime factors of f.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2918?\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.2112?\nAnswer: 0.2112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/3)\/((-4)\/(-6)). Suppose -g*f + 23 = -7. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -28464*w - 1. Let t(z) = -6*z**2. Give c(t(m)).\nAnswer: 170784*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8077 - 25435 = 568*c for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Suppose -c*b - 1 = -b. Let g be (1\/(-5))\/(4\/(-10)). Is g less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -5. Suppose w = -3*z + 6*z - 32, 3*w - 24 = -t*z. What is the remainder when 28 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 11) to base 7\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*a**4*j + 49*a**3 + 2*a**2 - 1570*a*j wrt a.\nAnswer: -1128*a*j + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -31*b**7\/210 - 5*b**3\/3 + 27*b**2. Differentiate z(h) with respect to h.\nAnswer: -124*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162565706873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 443\nAnswer: 2\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1620*g**5 + 179*g**2 + 666615*g wrt g?\nAnswer: 32400*g**3 + 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 0 - 1\/2*c**4 + 0*c - 1\/2*c**3 + 0*c**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 10074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:59 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*t - 5*t + 5 - 7)*(0 - 3 + 2)*(2 + 2 - 2)*(-2*t - t - t).\nAnswer: 56*t**2 - 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 0*i. Suppose i = -4*n + 12 + 8. Calculate the least common multiple of n and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**5 + 3*h**4 + 1292*h**3 - 25*h**2 + 111?\nAnswer: 60*h**2 + 72*h + 7752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76466.\nAnswer: 2, 13, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0268 + -0.0032. What is the closest to -2\/3 in 0.2, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 + 2 + 819*d**2 + 813*d**2 - 1629*d**2 + 3*d**4 to x*d + a*d**4 + q*d**3 + z + f*d**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -176, -715, -1622, -2903, -4564?\n\"Answer: -o**3 - 178*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 5, -0.35, -2, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341091 is divided by 201.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 526679411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = t + 4*c, 0 = 3*t - 3*c + 5 + 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -0.2 (c) 139 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12837*l - 420*l**3 - 12837*l + 423*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.35. Let o = t - -5.15. Put 3, -2, o in increasing order.\nAnswer: -2, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -175.6 + 192. Let l = g - -3.6. Let s = l - 20.00044. What is s rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*y = -0*y + 600, y = -3. Let t = 272 + v. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by 86?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 44. Let s be 8\/(-30) - x\/(-25). Which is the nearest to -1? (a) s (b) -1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680225 a multiple of 805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from jjgjugjz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 9*l**2 - 10*l - 5. Suppose 4*d - 2*g + 48 = 0, 2*d - 7*d + 3*g - 60 = 0. Let x be z(d). Is x\/(-2)*(-12)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-2))\/((-17)\/(-17)))\/(5\/40).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 1\/11920 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31557.48kg to milligrams.\nAnswer: 31557480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 20 = 0, 5*x - 6*j + 3*j - 2285 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1999 - 999 + 0*j**2 + 26*j**2 + 9*j**2 - 1000.\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9726*x**2 + 9726*x**2 - 14*x**3.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -76285, -152578, -228871, -305164, -381457, -457750?\n\"Answer: -76293*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318920371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -549 - -1359. Let d = 66 + -46. What is the remainder when 34\/187 - z\/(-22) is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2460 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37960*c - 108*c**3 + 37960*c.\nAnswer: -108*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*((-4 + 0 + 2)*(2*h + 13*h - h) + h - h + 3*h + (-1 + 1 - 1)*(3*h - 4*h - h)).\nAnswer: -46*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, r: 2, p: 3, n: 8}. Give prob of picking 1 r, 1 n, and 1 p.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2.09 times 0.941\nAnswer: -1.96669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, 1 w, and 1 s when four letters picked without replacement from {k: 1, m: 3, w: 4, z: 1, s: 5}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnn when three letters picked without replacement from {n: 2, y: 3, q: 13}?\nAnswer: 13\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -15.5541?\nAnswer: 108.8787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 3*(-1)\/(15\/(-10)). Let j be 400\/180 - x\/(1 - 2). Factor -j*z**2 - 2 + 4\/3*z.\nAnswer: -2*(z - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 12*c + 7. Let u(o) = 5*o + 3. Let f(x) = -5*u(x) + 2*y(x). Let p be f(-5). Suppose n = -p*n + n. Solve k - 5*r = -20, n*k = 2*k + 5*r - 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.24 in -208, 1\/1064, 2\/3?\nAnswer: 1\/1064","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 194*g - 64. Calculate m(65).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10800 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5 - 2*t - 4 + t + 4. Let w(x) = 4. Determine -2*g(f) - 3*w(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13208957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, -22, -4, 5 in increasing order.\nAnswer: -22, -4, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1266, -2522, -3804, -5112, -6446, -7806, -9192?\nAnswer: -10604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 7346777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 - 111.93. Which is the second biggest value? (a) 4 (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 9. Suppose 5*f + 0*f - 20 = 0. Suppose -f*n + 9 = -11. Solve -i - 2 = n*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + -1e6?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -162, -387, -722, -1179, -1770, -2507, -3402?\nAnswer: -4467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 952\/(-1071)*(-8)\/8*3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 2. Let c be z(-1). What is the derivative of -2 + 3 - 6*i**3 - c wrt i?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 0, 2, 4, -0.3.\nAnswer: -0.3, 0, 2, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8603074*g - 36035709 wrt g?\nAnswer: 8603074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 11:57 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.44 - -10. Let n = p + 55.44. Let x = n - 55. Which is the closest to x? (a) -5 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 447128 = 2*u - 14128. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g. Let z(l) = 268*l**2. Determine b(z(j)).\nAnswer: 804*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4031161 is divided by 8632.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-3\/4))\/v*v*(v**(-2\/23)\/v)\/v)**(-1\/2) assuming v is positive.\nAnswer: v**(31\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -64 * 3\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9533 - -15045. Does 55 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 245, 318, 391, 458, 513, 550, 563?\n\"Answer: -w**3 + 6*w**2 + 62*w + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(4*(-45)\/1140).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2457 - 1?\nAnswer: -2458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80788?\nAnswer: 2, 19, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*g = 108. Let b(k) = k**2 - 8*k - 5. List the prime factors of b(g).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(968) + -4*(-1 + sqrt(8) + sqrt(8)).\nAnswer: -60*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68993.\nAnswer: 68993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1067 (base 11) to base 14.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 34 = -5*i. Solve -3*g = -i + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/2*2186\/1093\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 2*j. Suppose i - 3 + 1 = 0. Suppose 3*p = -i*p. Suppose p - 4 = 2*r. Calculate x(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2. Let o be -45 + 9\/6*8\/12. Let w = o - -50. Let f(s) = -9*s + 4*s - 2*s - w*s. Calculate y(f(n)).\nAnswer: -169*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 = 3. Let v(a) = -3*a**3 - 1. Let n be v(c). Solve -t - n = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.41 - 1.31. Let m = -10 + d. Which is the closest to 0? (a) 2 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*s - 6 = 0, 2*s = -5*m + m + 34. Is 9 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p. Suppose b = 1 + 3. Suppose 3*v - 2*n + b = 4*v, 13 = v + 5*n. Let j be f(v). Is -0.1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566665 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*-1*sqrt(2) - (sqrt(98) - -6*(0 + sqrt(98)))**2.\nAnswer: -4802 - 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m + 18*m + 16*m = -22*m. Solve l + 108*h + 8 = 111*h, m = 5*l - 3*h + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, -2, 3, -170, 6 in decreasing order.\nAnswer: 6, 3, -2, -4, -12, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 12, h: 1}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*t + 8 - 264*t + 152*t + 144*t.\nAnswer: 107*t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*m + 6835 = -3656 - 15331 + 5522 for m.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1124151*f**2 - 2*f**3 + 1124151*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, p: 2, l: 5}. Give prob of picking 2 p and 2 l.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 12*z - 18. Let v be r(-10). What is the derivative of 10*j**4 - 148 - 3*j**2 - j**2 + j**2 - 2*j**v wrt j?\nAnswer: 40*j**3 - 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, 3\/8, -1, 13329?\nAnswer: 13329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcw when three letters picked without replacement from wcqwqlcqcwcwf.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -156 + 132 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(2) + -6*sqrt(22)*-1)\/(sqrt(96)\/sqrt(3)*5) + 0.\nAnswer: 9*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2188560 and 3?\nAnswer: 6565680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-18)\/p))\/p)\/((p\/p**(-8\/5))\/p))**49 assuming p is positive.\nAnswer: p**(4263\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -124023286 divided by -1170031?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70623)\/90860 + (-8)\/(-10).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from swstjatwaazs.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 313343372\/15 - 20899393. Suppose -5*p + 55761 = 6606. Let u = p + v. What is the common denominator of u and 15\/8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*t - 179 = -o, 4*t + 113 = 3*o. Suppose 0*k = 5*k + y - 219, 2*y + o = k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from aiyikiayaiiilaaaky?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**5 - g**5 - 3*g**5 + (-4*g**3 + 0*g + 0*g)*(-8*g**2 + 0*g**2 + 9*g**2).\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/10 and -2 + 2 + (-78)\/(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*l + 36 = -2*f, -f + 3*l + 18 = 0. Let n(j) = j**2 - 18*j + 1. Let p be n(f). Let h(g) = -2*g - 1. Determine h(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 10*m**2 + 14*m + 11. Let y be g(11). Let j = 133\/3 - y. Suppose -4\/3 - j*o**5 - 16\/3*o - 7\/3*o**4 - 25\/3*o**2 - 19\/3*o**3 = 0. Calculate o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43280775 is divided by 21640386.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 199576 and 25402.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (8\/42)\/((-78)\/936). Which is the closest to -1\/2? (a) z (b) -62 (c) -0.3 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81365245?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g + 20*g + 15*g)*(0 - 2 + 0) + 2*g - 2*g - 3*g + 5*g.\nAnswer: -88*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 1. Let d be n(3). What is the derivative of -5 + 2*p + d - 5*p - 1 wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h + 20. Let i = 4 + h. Suppose -60 = -4*w - i*w. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -15.0072. Let k = 8.5272 - a. Let b = 0.28 + k. What is b rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-154)\/55))\/(-10*(-1)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52295652 a multiple of 569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is (318\/2385)\/((-3)\/((-18)\/(-4)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - z = 941, -z - 10 = -5. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*a = 121*a + 561 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 180*d + 0*d**2 + 15*d**2 - 168*d wrt d.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**2 - 6*p. Suppose -17*c + 9*c = -96. Let d(q) = -18*q**2 + 40*q**2 - c*q**2 + 13*q. What is 6*d(w) + 13*z(w)?\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**2 - 3*z - 1. Let s(c) = -c**2 - 14*c + 17. Let g be s(1). Give f(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 634115 + -352115. What is w rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpp when three letters picked without replacement from {p: 9, c: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(30\/20 + 622\/(-416)). Suppose -2*p + 10*p = u. What is the highest common factor of p and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, t: 10, c: 1, m: 1}. Give prob of picking 1 t and 1 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59.125 + 0.075. Let k = h - 59.19551. What is k rounded to four decimal places?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 24\/6 - -1*7. Solve 5*v = -x - 15, c*v + 0*x + 15 = -3*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -761, -3484 in ascending order.\nAnswer: -3484, -761, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 13*q - 21 = 0. Suppose 2*t - q*t = 10, 0 = 3*b - 4*t - 14. Is 1 + b - (9 + -78) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 s when three letters picked without replacement from ttsstttsts.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**3\/3 - 1394974*x**2\/3 + 432586090*x\/3 - 11176381950 = 0.\nAnswer: -697797, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-2)\/(-5)) + -3. Let w be k\/(65\/(-26) + (-6)\/(-2)). Let g(j) = j**3 + 17*j**2 + 12*j - 15. What is the units digit of g(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 + 68. Let j be 1\/(-5) - p\/10. Solve j = -n - 4*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 1451 = 709. Suppose 21*y - 16*y = i. Calculate the remainder when 141 is divided by y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(171)*2 - 2*2*sqrt(171))\/(4*(sqrt(9) - (sqrt(144)*2 - sqrt(9)))))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11864453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1346 (base 7) to base 8\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1532111 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13985, 13940, 13885, 13814, 13721, 13600, 13445?\n\"Answer: -s**3 + s**2 - 41*s + 14026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) 2 (c) -5\/2 (d) 14 (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 + -109. Put g, 5, -9 in decreasing order.\nAnswer: 5, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/5 + 33804*c**2\/5 + 28486458*c - 3437873712\/5 = 0. Calculate c.\nAnswer: -8463, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 183*g - 185*g = -4, 8 = -17*n + 4*g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100999733 to the power of 1\/3, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1008)\/(-14))\/12 + 4\/(-2))*-2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p - 3. Let a = 17 + -20. Put 2, a, p in descending order.\nAnswer: 2, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 280\/(-12)*-1*15\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3511042145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -109*u**5 - 153*u + 1285. Find the first derivative of k(t) wrt t.\nAnswer: -2180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 20 + (-11 + 2 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - z + 11, -4*k + 8*k - 3*z - 19 = 0. Suppose -3*q + 15 = -2*y, -5*y + 2*q - 5*q - 6 = 0. Is y at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -782.2 - -782.202375. What is a rounded to four decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 433300, 433302, 433304, 433306?\nAnswer: 433308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/14 - -1\/7. Let z = 20\/333 - -6\/37. Which is the biggest value? (a) 0 (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 10 + 2. Solve o - j*o = 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2283 and 2.45897605.\nAnswer: 2285.45897605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 9*r, -3*r + 15 = -12*s + 7*s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 12) to base 14\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -74.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-3)*(-1)\/(-2). Suppose h*k + 2*k = -164. Is (k\/3)\/(2\/(-3)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 136 = -g. Let c(x) = 19*x - 3. Let j be c(2). Let h = j + g. Solve -v - 2*i + h = -5*v, 0 = -5*v + 3*i - 25 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2462748 > -2462752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -393769 divided by 38.\nAnswer: -393769\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = s, -2*c - 3*s = -9. Suppose c = -5*y + 5*f - 25, 5*y + 3*f + f = -7. Put -1, -5, 56, y in decreasing order.\nAnswer: 56, -1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17052 is divided by 232?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113 or 0.032?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**2 - 33*u - 2951. Give y(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 30 = 1290. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 27*w + 32. Let l(j) = -9*j - 11. Let a(y) = -17*l(y) - 6*z(y). What is the first derivative of a(n) wrt n?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2199248231?\nAnswer: 17, 2963, 43661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/56 and 145\/612.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r + 9049 = 320. Let b = -294 - r. What is the remainder when 186 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**3\/6 - 3*l**2 + l. Let i be 17\/(-3) - (-2)\/3. Let z be y(i). Which is bigger: -2\/9 or z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242437252 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h. Let o(c) = -192 - 240 + 412 + 4*c. Give l(o(k)).\nAnswer: -8*k + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*4 - (sqrt(11)*-2 + 1).\nAnswer: -1 + 38*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -3.81?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7. Let x(q) = q - 22. Let r(j) = -7*n(j) - 2*x(j). Let s(a) = a + 5. Calculate -3*r(z) - 4*s(z).\nAnswer: 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 7:25 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2004.5 + -2007. What is the biggest value in 3.8, n, -1\/3?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.98, 2, -1\/10, 0.07, 1\/37?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**3\/3 + 524*b**2 + 1046*b + 1568\/3 = 0.\nAnswer: -784, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 9:04 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y - 10*y - 2*y - y + 4*y - 4*y + (3 - 1 - 1)*(0*y + y + 0*y) + 1 - 1 + 2*y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18664962*s**2*x**4 + 302511*s**2*x**2 + 5*s*x**2 + s*x + 9*x**2 + 2*x wrt x?\nAnswer: -447959088*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26840 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 10*s - 18 = 9*s, -2*s = 2*b - 12. Solve -f + 10 = -b*d + 4*d, -4 = -4*f - d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -538*b**5*l**2 - b**4*l**3 - 25*b**2*l**3 + 5*b**2*l wrt b.\nAnswer: -32280*b**2*l**2 - 24*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-26\/9)*j\/j**(12\/13) assuming j is positive.\nAnswer: j**(-212\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331020 - 2?\nAnswer: 331013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 219\/8 + (5 - (-86)\/(-16)). Suppose 22*v + 2505 = k*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 0*h + 48 - 13 - 8*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - 2. Let z = s + 6. Let k be 8\/16*(0 + 2\/2). Sort k, z, -3 in decreasing order.\nAnswer: k, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from rxxrryxxxxrbrxypr?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1734 and 121\/7050.\nAnswer: 2037450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 181681888 - -6.\nAnswer: 181681894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84319.167 - 195.167. Let c = 84111.9986 - o. Let y = -12 - c. What is y rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56655 divided by -1\nAnswer: -56655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(2\/11)*v*v\/(v\/(v**(-12)*v))*v*(v*(v*v**4*v)\/v)\/((v\/(v*(v**(-11)\/v)\/v*v*v))\/v) assuming v is positive.\nAnswer: v**(-130\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000224039 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Let t = j - -1. Suppose 0*k - 4 = -2*k. Which is greater: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 9*w + 37. Let n be (2 + 3\/2 - 4)*w. What is the least common multiple of 12 and n\/((-6)\/4) - -17?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1946490, -1946496, -1946506, -1946520, -1946538?\nAnswer: -1946560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y + 4. Let x be v(-5). Let h = 14 + x. Solve 0 = 3*t + h + 12, 0 = -2*r - 2*t - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 5*o - 2*w, 4*o = -3*w + 27 + 37. Calculate the remainder when 29 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + x + (1 - 1 + 1)*(-2 + 2 + x) + x + 1 - 1 - 15*x - 213 + 213 + 8 + x - 8.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 156370979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 + 12*m + 27. Suppose 57 = -39*f - 99. Calculate the least common multiple of 33 and p(f).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 8:36 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*h = 48 + 4, -4*w + 60 = 4*h. Solve -4*d - w = -4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + x - 75. Let o be (-3)\/5 - 90\/x. Suppose 2*h = -5*t + t - 6, -o*h = 3. Which is the nearest to 0? (a) t (b) 2\/21 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 4. Suppose -d - n = -15, -743*d + 744*d + 9 = 5*n. Suppose r - d + l = 0. Solve -4*b + 3 = -r*m, -5*m - 2 = -17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 12:49 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 5425*z**3 + 5434*z**3 + z.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*d - 2730 = -374*d - 187*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50735 and 2342570?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 353*n**2 - 41403*n + 1614051.\nAnswer: -(n - 131)*(n - 111)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2431339.\nAnswer: 137, 17747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 142863*l + 1828240?\nAnswer: 142863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20292.\nAnswer: 2, 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -346.1 + 346. Let d = 11 + -16. Which is the nearest to -2\/3? (a) x (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292636 divided by 982.\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2798160 times -0.3\nAnswer: 839448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10866889961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 0) + (-536)\/(-12)*3. What is the remainder when (156\/c)\/((-3)\/(-170)) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1432, 1434, 1436, 1438, 1440?\n\"Answer: 2*g + 1430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -3, -0.05, -0.3, -2\/21?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152389535 is divided by 2198.\nAnswer: 2195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhhk when four letters picked without replacement from qqllvhhhhhklktl.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p**2 - 2 + 2)*(6 - 3 - 1) + (12*p + 63 - 63 + (-p + 3*p + 0*p)*(3 + 1 - 5))*(127 + 129 + 231*p - 255) as h + o*p**2 + i*p and give o.\nAnswer: 2318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 360217222 minus -0.4?\nAnswer: 360217222.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2881490955.\nAnswer: 3, 5, 7, 2203, 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.826, 0.4, 67.7 in decreasing order.\nAnswer: 67.7, 0.4, -0.826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -48, 0, -2\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -140 + 136. Which is the nearest to 0? (a) x (b) 16 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 23 + 2 + -8 + 5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 253581145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 37.9. Let t = 1467\/7 + -209. Let d = -1131\/7 - -161. Which is the nearest to l? (a) 5 (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 63 - 1. Let l = -9671 + 9888. Calculate the greatest common divisor of l and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32025 + 32161.77. What is h rounded to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -261, -6, 1 in ascending order.\nAnswer: -261, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/161 + 10777\/322. Find the common denominator of 83\/22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 37 - 129 = 0. Let i = z - 24. Suppose 0 + 14 = p + 4*q, -i = -5*p - 4*q. Solve f - p = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113 or 111?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -1.4. Let r = l + -1. Let v = 2.5 + r. What is the nearest to v in 2\/9, 4, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = n - 12*v + 15, 5*n - 4*v = -20. Let r be 2\/(-12)*(-4)\/17. Is r at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116.1 - 135. Let l = -18.884 - a. Round l to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -37, -93, -191, -343, -561?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2*8\/10. Let j = 10 - w. Let u(r) = j*r + 0 + 0 + 1. Determine u(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134.7 less than or equal to 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 11:23 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -111 - 57. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 234856*w**3 - 216531?\nAnswer: 704568*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 154 - 5 = 0. Suppose 5*a - 187 = -b, -18 = -2*a + 3*b + 67. What is the remainder when c is divided by a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 11) to base 9\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24.7*-27\nAnswer: 666.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y**3 + 4 - 4*y**2 - 4 + 3*y**2 in the form o + m*y**2 + x*y + h*y**3 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -141a35d + 1?\nAnswer: -141a35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 898402?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 977309791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -5, -0.01, 5, -17\/319?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 4*n + 8. Is 100\/35*(n + 2) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -17\/5, -19, 2\/3 in descending order.\nAnswer: 12, 2\/3, -17\/5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 39*h**2 - 2*h. Let u(w) = -15*w + 38*w - 12*w - 9*w. Calculate u(l(p)).\nAnswer: 78*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 267, 7, 4, -2 in decreasing order.\nAnswer: 267, 7, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -22*x - 4. Let s be z(-5). Suppose u - 4*u + s = 5*o, -5*u + 2*o + 218 = 0. Calculate the remainder when u is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76298 and 9?\nAnswer: 686682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5908025m?\nAnswer: 59.08025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32452396 is divided by 8113098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.4 + -36. Let s = 3 - z. Sort s, -2, -3\/2 in ascending order.\nAnswer: -2, -3\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b + 46. Let h be z(8). Let t be (h\/(-1))\/((-52)\/12 - -5). Put t, 2\/11, -4 in descending order.\nAnswer: t, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28940 is divided by 108.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170503794?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {e: 9, z: 5, r: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -12) + -19 + 9 + 3 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(24)\/sqrt(3) + sqrt(8)) - (sqrt(8)\/sqrt(4) + 0)) + -4.\nAnswer: -4 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-1))\/40)\/((-126)\/945)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 136039992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 226487*v - 226486*v - 133 = 0, -4*v + 142 = -5*w for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 + 90. Suppose 27 + 207 = 6*y. What is the highest common factor of x and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 7. Let d be i(5). Suppose -l + 4*f = -f - 4, 2*l + d*f = 60. Solve -2*p + 5*u + l = 2*p, u = -p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let f(l) be the second derivative of -11\/6*l**3 + 6*l - 1 + 0*l**2. Calculate f(b(z)).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95961*q**4 - 63*q**2 - 14*q - 6?\nAnswer: -2303064*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 17. Suppose -s*b = -4*b - 30. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*p - 2 + 8, 2*g - p = 3. Suppose 1 = -g*k + 11. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {j: 2, t: 1, u: 1, o: 1, l: 2, y: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 295. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 216 - 2*g**2 + 690 + g**3 - 561 + 2*g**2 - g as m*g**2 + k*g + y*g**3 + a and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 3\/3*-298. Let k = -168 + r. What is the highest common factor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*b + 770 + 2105 = 648 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 557 + -559. Let m(a) = 4*a**2 - 13*a + 3. Let d(h) = 3*h**2 - 13*h + 4. Let j(p) = r*m(p) + 3*d(p). Determine j(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1549851, -3099697, -4649543, -6199389?\nAnswer: -7749235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 9 = -9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 43, 95, 185, 325, 527, 803?\nAnswer: 1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20131 + 2?\nAnswer: 20133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqllllqlzzqqlllzll. Give prob of picking 2 l, 1 z, and 1 q.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5934?\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9 + (-1 - (-15)\/9). Suppose 0*f + f = d. Suppose -2*s - 4*j = -f*s - 18, 2*j = 2*s. Solve -z + 7 = -p, -s*z + 7*p + 29 = 2*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 11) to base 16\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(165) - -2*sqrt(165))\/sqrt(5))\/(sqrt(44)*-6 - sqrt(11) - sqrt(11)) - 6*(3*(sqrt(3) - (sqrt(9)\/sqrt(3))**2) + 1*sqrt(9)\/sqrt(3))) + 5.\nAnswer: -339*sqrt(3)\/14 + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**2 - k**4 - k**5 - k - 8*k**2. Let d(z) = 3*z**5 - 6*z**4 - 12*z. Let c(b) = d(b) - 6*i(b). Find the second derivative of c(o) wrt o.\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/369004496 and -79\/5648028?\nAnswer: 1107013488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.19, 9419\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 419*t.\nAnswer: -t*(t - 419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 1922 = 529. Suppose 6*t - z = 11. What is the highest common factor of t and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 17508550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-4 + 10 - (49 + -39))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 113642279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**12*o)\/(o*o*o**(9\/4)))\/(o**(3\/11)*o\/(o**7\/o)) assuming o is positive.\nAnswer: o**(593\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + v - 4 = 0, -2*f = -3*v + v - 12. Suppose 8*o - 8 = -4*y + 3*o, -18 = f*y - 3*o. Let n(w) = w**2 - 4. Calculate n(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*c + 7 - 7.\nAnswer: 60*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -1552, -2916, -4282, -5650?\nAnswer: -7020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4221 + 2232?\nAnswer: 6453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -45\/4498208 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, q: 11}. Give prob of picking 1 p and 1 q.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14651?\nAnswer: 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 309. Suppose 0 = 2*u - 10, g = 7*s - 2*s + 3*u. List the prime factors of s.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 5*t**2 - 2*t + 1. Let g be r(3). Let j = g + -22. Let f = -5 - j. Solve 0*l + f = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, v: 1, w: 2, o: 6, m: 3}. What is prob of sequence mm?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010000100010111 - 11?\nAnswer: 100010000100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**4 + 701*h**3 + 121?\nAnswer: -8*h**3 + 2103*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26867356.\nAnswer: 2, 983, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 7. Suppose 0 = -u*m - 2*m + 80. Let j = m - -11. Calculate the remainder when j is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25576 - -51151\/2. What is the closest to 3 in -3, 26, a, -1.8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20916407 <= 20916397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 12:52 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 + 5396*m**2 + 53966*m\/5 + 26984\/5.\nAnswer: -2*(m - 13492)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5809032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8207817*t**3 + 8208375*t**3 - 4*t**2 - 16416202*t**3 + 4*t**2.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4643*f*t - 2*f - 2*t - 205 wrt t.\nAnswer: -4643*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14378, -4, 2, 29, -2, 5 in increasing order.\nAnswer: -5, -4, -2, 2, 5, 29, 14378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-96)\/16 + (2 - 2) + 5003 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**7\/630 - 7*x**6\/360 + x**5\/30 - 44*x**2 + 2. Determine s so that n(s) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 260.8742237 - 262.3921. Let s = m - -1.518. Round s to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**7\/70 + i**6\/360 + i**5\/120 + i**4\/24 + 35*i**3 - 19*i**2. Let u(b) be the first derivative of h(b). Calculate u(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59311.12 micrograms to kilograms.\nAnswer: 0.00005931112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 260*y**2 - 17*y + 2183. Give t(130).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9560 (b) -1\/744 (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x = -30. Suppose 3*q + 2 = 4*r, 0 = 3*r + q - 2 - x. Put 0, -4, -1, r in descending order.\nAnswer: r, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -19 - 2. Let f be 4\/(i - 3)*33. Which is greater: 32 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20c (base 13) in base 11?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488095 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i = -2*i - 110. Let w = 5 - -1. Suppose -s + w = s. Solve -8*v + s*v = i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/20 - 2\/(-5). Let q = -0.46 + 0.86. Which is the closest to 1\/3? (a) -4 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -17, -0.07, 3\/5, 11?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 - 4*l**3 + 15*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 12\/9 + 65\/(-195). Let h(u) be the third derivative of 2*u**3 + t + 1\/15*u**6 + 0*u**4 + 0*u**5 + 0*u - 10*u**2. Differentiate h(y) wrt y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 664 (base 8) to base 12.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 203219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - f - 7. What is r(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from iissssiisissssssis.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 14, e: 5}. Give prob of picking 4 e.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19157, 464, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from bklekbkk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2\/2 + 265*y\/2 - 1050.\nAnswer: 5*(y - 7)*(y + 60)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -273, -924, -1941, -3324?\n\"Answer: -183*r**2 - 102*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubkxkwkwywkw. What is prob of picking 1 x and 2 w?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 6*t = -t - 0*t + 48, -5*v - 279*t + 7 = -284*t - 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 858967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -4, 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/((0 + 2)*-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 16*j - 151. Determine x(-17).\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 9) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d + 216. Let u be j(-23). What is the greatest common factor of u and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/36 + (-5)\/18\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 15*a - 35*a + 33*a. Let b(j) = -2*j**2. Determine k(b(q)).\nAnswer: -26*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17341, -147062, -499167, -1184848, -2315297, -4001706, -6355267, -9487172?\nAnswer: -13508613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - -4. Let s = -61 - -69. Calculate the greatest common divisor of m and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 33*f + 476. Let t be p(11). Sort 11, t, 1\/3, 0 in ascending order.\nAnswer: t, 0, 1\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/207*9)\/(5*1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o = 22*o - 12. Which is the nearest to 2? (a) 0.3 (b) 5\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 7 + 0 + 3 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 767364 and 2184.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4247*p**2 - 2455*p + 310. Let h(m) = -2123*m**2 - 1228*m + 124. Let z(o) = 5*h(o) - 2*k(o). What is the second derivative of z(i) wrt i?\nAnswer: -4242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95255*h**2*v**2 + h**2*v + 11*h**2 + 2*h*v**2 + 11*h*v - h + 7*v**2 - 5*v + 5 wrt h?\nAnswer: -190510*v**2 + 2*v + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*w - 56 = 184 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 273 + 171. Suppose -31*m - 90 = -p*m. Suppose 3*a + 0*a = z - 6, 0 = -2*z + 5*a + m. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {z: 4, g: 14}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m = 29*m - 33*m + 308. Solve n + m*n - 48 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14570 or -17405?\nAnswer: -17405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -13. Let r = -0.0317 + -2.3583. Let g = r - 0.61. Which is the biggest value? (a) g (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 374 = 2*f, 174 = f + 5*u - 33. Which is greater: f or 1467\/8?\nAnswer: 1467\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*(10 - (-1917)\/(-45)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*b - 52*b**3 + 49*b**3 - 346*b + 1066*b - 23*b - 350*b.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23490 less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*n + 74, 4 = -5*n + 19. What are the prime factors of 355 + 2 - (39 + z)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 335, 2087, 5007, 9095, 14351, 20775, 28367?\n\"Answer: 584*x**2 - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by -9780.\nAnswer: 10\/489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -17*t**8\/28 + t**7\/210 - t**6\/30 - 1745*t**4\/12 + 130*t**2 + 8*t. What is the second derivative of x(b) wrt b?\nAnswer: -4080*b**3 + 12*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*z - 5104 = 0, -14*t = -19*t - 3*z + 6348. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueebtbtitb. Give prob of sequence bue.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3484, 6961, 10440, 13921, 17404, 20889, 24376?\nAnswer: 27865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-42)*3*-14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 66293, 132583, 198873, 265163, 331453, 397743?\n\"Answer: 66290*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.39 + -0.79. Which is the third biggest value? (a) k (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 40 + 10. Suppose 3*z + 10*c = 5*c + p, -z + 4*c = -9. Suppose -23*t = -24*t + z. Solve -11 + 1 = 4*m - w, t*m + 21 = -3*w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2336 = 2*g + 1962. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -g + 495. Let y = -53 + g. Suppose 6*n + f - y = 3*n, f = 1. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8137 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 104*h**2 + 7*h - 8. Suppose -2*d = n + d, 2*d + 34 = 5*n. Is u(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 3, k: 2, o: 2, v: 1, r: 4, w: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5369 is divided by 75?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 + 77*o - 40. Let i be w(32). Let r = -382 - i. List the prime factors of r.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7496095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from wwllwklkllkslwwlw.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.6 + 10. Let r = b + -0.4. What is the third smallest value in -2\/5, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5122*r + 4675*r - 1 + 1 to the form b + y*r and give y.\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2164 and 20088412?\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15234, -15223, -15212, -15201?\nAnswer: -15190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8352\/(-87))\/32*(-176)\/6?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 4*g**7\/105 - g**4\/3 + g**2\/2 - 6. Let k(o) be the second derivative of x(o). Find the second derivative of k(t) wrt t.\nAnswer: 96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.465 less than -2.835179388?\nAnswer: 2.629820612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 49595586701 - 0.169\nAnswer: 49595586700.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 191310968 a multiple of 666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16a2c0 (base 14) in base 2?\nAnswer: -11000010011010100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 104113?\nAnswer: -104113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 260*u**4 + 104*u**4 + 60*u**4 + 4*u - u**4 - 4*u + (-2*u**2 + 0*u**2 + 4*u**2)*(-1 + 2*u**2 + 1) + 0*u + 2*u**4 - u + 0*u**4.\nAnswer: 429*u**4 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1077, 2258, 3547, 4944, 6449?\n\"Answer: 54*t**2 + 1019*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 357388 or 357391?\nAnswer: 357388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 96 + 198. Let g be (-18)\/6 - t\/(-17). Let d = 1 - 1.3. What is the closest to -1 in 5, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 8 = -5*p. Let q be (p\/(-3) + 2)\/3. Factor 2\/9*i**3 - 10\/9*i + q*i**4 - 2\/3*i**2 - 4\/9.\nAnswer: 2*(i - 2)*(i + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*f**4 - 16*f**3 - 173*f - 92659 wrt f.\nAnswer: 20*f**3 - 48*f**2 - 173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61 - -2) + (-84 + 93 - (7 - 1) - -8).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1036 and 589484?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34170 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + -10 - (2 + -1). Which is bigger: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/21 and 10\/10668327?\nAnswer: 74678289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -740 + 138 = -7*x. Suppose -67 = -p - 3*l, -2*p + l - 124 = -4*p. Let h = x - p. Solve -7*d = -2*d - h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 576*f**3*s**2 + f**3 - 2*f**2 + 5*f*s + 1763*s**2 - s + 1062 wrt s.\nAnswer: 1152*f**3 + 3526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -0.1. Let r be -12*(-3)\/6 + -4. Let g be ((-63)\/(-30) - r)*4. Which is the smallest value? (a) g (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-256)*136 - 14\/2. Factor 0 - 3\/4*a + 0*a**4 + 2*a**2 + 1\/4*a**5 - f*a**3.\nAnswer: a*(a - 1)**3*(a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -4*h + 112, -3*h - 24*k + 27*k = -90 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/2183 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 7*o**2 + 6*o - 4. Determine p(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1026 = f - 286, 1464 = 4*b + 2*f. Suppose -3*k = -4*j - b, -3*k - j = -496 + 138. Suppose w + 48 = 2*i, 0 = -5*i - 0*w + w + k. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*4*1\/16*0. Solve -2*n + 26 = -5*u, -2*u - 3*n + x = -1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 517, 517, 527, 553, 601?\n\"Answer: c**3 - c**2 - 4*c + 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-10) - 42\/18*-3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50225374 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 greater than or equal to -6\/929345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758953403?\nAnswer: 13, 29, 59, 149, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16590, -66276, -149080, -264996, -414018, -596140, -811356, -1059660?\n\"Answer: k**3 - 16565*k**2 + 2*k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 254993 to the nearest one thousand.\nAnswer: 255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 5. Suppose -t = -u + 1. Let m be 76\/(-28) + t\/(-14). Put -4, -5, m in descending order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4 + 18*w**3 - 33*w**2 + 16*w = 0. Calculate w.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*(b\/(b\/b**(-1\/3)))\/b)\/b))\/(b**(-28)\/b) assuming b is positive.\nAnswer: b**(94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794 is divided by 768?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-232*c**2 + 311*c**2 + 949*c**2)*(-1 + 2 + 1).\nAnswer: 2056*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-125)\/(-10) + -14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 208201149?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - p + 1. Let s(g) = -440*g**2 + 240*g - 240. Let d(v) = -240*c(v) - s(v). Let o(n) = n**2. Calculate d(o(k)).\nAnswer: -40*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*i - 6, -3*i = -x + 2 - 7. Let c be 9 + (2\/4)\/(i\/(-2)). Let d(h) = 7*h + 42. List the prime factors of d(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 143908691 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 971 + -971. Put -5, 2, g in descending order.\nAnswer: 2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-64\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13142*c - 1443. What are the prime factors of k(1)?\nAnswer: 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 302255 - -2?\nAnswer: 302257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/3 + 19*q**4\/3 - 14*q**3\/3 - 1202*q**2\/3 + 13*q\/3 + 1183\/3 = 0. What is q?\nAnswer: -13, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(-1*sqrt(12)) - (-2 + sqrt(98)))**2.\nAnswer: -32*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-619)\/(-3095))\/((-26)\/60)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44 - 45458\/(-1020))*4\/17. Factor -d*f**3 + 0 - 2\/15*f**4 + 2\/15*f + 2\/15*f**2.\nAnswer: -2*f*(f - 1)*(f + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by (-11)\/(1573\/550)*-13.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6780000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 - 9*n**2 - 6*n**2 + 4*n**2 in the form k*n**2 + u + w*n and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -22*2\/(-4) + -1. Let p = -1042 + 1053. Suppose v*j + 40 = p*j. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhchchhhh. Give prob of picking 3 h and 1 c.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -f + 3. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = -b + 132. Let w(l) = -l**3 + 10*l**2 + 9*l + 22. Let x be w(b). Suppose x = 12*d - 531 + 171. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v. Let g(t) = 34*t - 7. What is n(g(o))?\nAnswer: -68*o + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 0 + 0*n + 0 in the form a*n + w and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*t**4 + 297*t**3 - 40*t + 33*t**3 + 60*t**2 - 96*t**4 = 0. What is t?\nAnswer: -2\/5, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 13 = -5*v - 7, 5*v + 20 = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-10))\/(2\/(-10)). Let q = -7738 - -7742. Put 0, q, m, 3 in descending order.\nAnswer: q, 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 1. Let b(j) = 5*j**2 - 4308*j + 4308*j. Determine b(h(t)).\nAnswer: 5*t**2 + 10*t + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o + 23. Calculate the smallest common multiple of w(7) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38751024 a multiple of 442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1452)\/(-470) - (5291\/185 - 28). Which is the smallest value? (a) 4 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g - 318 = -266 + 443 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l - 45*l = -24. What is the least common multiple of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + 7 - 1 - 2 - 4. Let a(v) = -120*v**2. Calculate i(a(y)).\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*l = 7, o - 5*o = 3*l + 15. Is 1 + 6 + (-1 - o) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 374 = -5*t + 1181, -4*t + 1235 = -x. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4049 - 69403. Let g = h - -65204.061. Let b = 150 + g. Round b to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003563 rounded to four decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdg when three letters picked without replacement from gmmd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*w - 6*o - 2, 117*o + 3 = 4731*w - 4734*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-15)\/(l**(3\/7)*l*l))\/(((l*(l**(16\/3)\/l)\/l)\/l)\/(l\/(l*l*l**(1\/4)))) assuming l is positive.\nAnswer: l**(-1849\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -0.2079.\nAnswer: -2.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192211482 by -1316517.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -499, -504, -513, -526, -543?\n\"Answer: -2*y**2 + y - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 19. Suppose 0 = 5*d - 4*h - 1975, k*d = -4*h + 209 + 1371. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/50*165\/(-66)*5\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 296 - 300. Which is the biggest value? (a) -5 (b) 23 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 697140 and 630.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/3, 16, 0.2, 4\/3, -2, 361?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140310 and 23385?\nAnswer: 140310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -405, -708, -913, -1020?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + z)*(161 + 287 + 700) + 2*z - z + z as t + i*z and give i.\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 j when four letters picked without replacement from mmgmjzjmjgzkmmjmgmm.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 152 + -53870?\nAnswer: -53717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10*v**2 + 7*v - 29. Let c be i(5). Let t = -259 + c. Suppose -f = -4*f - 12. Put t, f, 0, 3 in decreasing order.\nAnswer: 3, 0, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1665385*f**5 + 494770*f + 2.\nAnswer: 33307700*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 1 - 1)*(t - t + t**2) - 2*t**3 - 2*t + 2*t + 2*t**3 + 16*t**3 - 2*t**3 + (3*t + 3*t - 3*t)*(1 - 1 + 2*t**2) + 2*t**2 - 2*t**2 - t**3.\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 123 = 23. What is the greatest common divisor of 12 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 times 1.0363\nAnswer: 39.3794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**4\/12 - 5*t**3\/6 - t**2 + 4*t. Let n = -389 - -383. What is z(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, m: 2, f: 1, r: 2, e: 1}. What is prob of sequence br?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 7:00 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1340\/15 + 5650\/(-1695)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130338 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**5 - 7266*t**4 - 13198689*t**3 = 0.\nAnswer: -3633, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**5\/10 - 43*z**4\/12 - 25*z**3\/6 + 63*z**2\/2 + 2*z - 1233. Calculate g(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 2, z: 4}. What is prob of picking 1 z and 1 x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 1)*(4*d - 5*d + 2*d) + d + 1 - 1 + (-1 - 4 + 3)*(d - 1 + 1) to a + q*d and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*l + 19 = 0, l - 6 = -v - 2*l. Suppose 594*g + 95 = 575*g. Put -1, v, g in ascending order.\nAnswer: g, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6)**0*((a*a**(-13\/4)*a)\/a*a*a)**(-2\/75) assuming a is positive.\nAnswer: a**(1\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f - 6*f - 3*f + f - 3*f + f + (-3*f - f + 5*f)*(0 - 2 + 1) - 11*f + 2*f + 2*f in the form a + z*f and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1000012 (base 3) to base 5\nAnswer: -10414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 5*k**2 + 2*k**2)*(-4 + 6 + 1) + 2*k**2 - k**2 + k**2 + (3*k - 3*k - 2*k)*(1 + 2*k - 1).\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 59384142.2 to the nearest 1000.\nAnswer: 59384000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54058 and 302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - -32. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 + 0*x**2 + 6*x**3 - x + 6 + 3*x - 2*x**2 to the form m + j*x**2 + s*x + f*x**3 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 154 = -169 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 7. What is the least common multiple of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 0.1 (c) -1\/9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*n - 46. Let q(o) = -o**3 - 12*o**2 + 11*o - 17. Calculate the remainder when n is divided by q(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**5\/20 - 7*s**4\/12 + 7*s**3\/6 + s**2\/2 - 8*s. Let l be w(6). Let g(z) = 2*z**2 - 9*z - 9. Is 7 a factor of g(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 242 - 212. Suppose h = i + 32, -4*i + 112 = 2*h + 2*h. Suppose 4*p - 50 = h. Calculate the greatest common factor of x and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (2 - 258\/(-9)). Let l = y - -31. Let j be (1 + -1)\/(5 + -6). Is l greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 297.3.\nAnswer: 293.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/13? (a) -17 (b) 0 (c) 739\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 159*y. Let j(x) = -4*x**2 - 23*x. What is b(j(m))?\nAnswer: -636*m**2 - 3657*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2, 5, 0.19, -0.5, 0.55 in decreasing order.\nAnswer: 5, 2, 0.55, 0.19, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1089 and 21.\nAnswer: 7623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - g + 448 = 0, -19 = -o - g + 69. Suppose 2*x - o = 20. Suppose 5*j + 2*c - x = 7, -4*c + 40 = 3*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8093, 16183, 24273, 32363, 40453?\n\"Answer: 8090*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 4:01 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1612 + 1614. Solve -5*y - m*o - 15 = 0, 6*o = -5*y + 3*o - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ea - -5?\nAnswer: ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87229 is divided by 27769.\nAnswer: 3922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 998408*g**2*i**3 - 4*g*i**3 - 206191*i**3 wrt g?\nAnswer: 1996816*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-211 - -182 - (1 + -23) - 14) + -24?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(7 + -2)*1. Let x = c - -16. Suppose -x*o + 32 = -2*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l - 25, 5*h - 2*l - 25 = 0. Let y be 1\/8 + (1 + -1)\/h. What is the second biggest value in -4, 6, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 2)\/(-20) + (-90)\/(-24). Solve 5 = -5*t - 4*a, 2*t + p = -2*t - a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5290.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35 + 9*u**3 + 11 + 17 with respect to u.\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {m: 4, c: 4, h: 1, w: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**6\/15 - 2*z**5\/15 + 29*z**4\/18 - 14*z**3\/9 - 8*z**2\/3 + 9*z - 3. Suppose f(a) = 0. What is a?\nAnswer: -4, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 1:12 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 606\/14 - 6\/21. Let l(s) = -1 + s - f*s**3 + 44*s**3 + 7*s**2 - 2*s**2. Let h be l(-4). Calculate the highest common factor of 77 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31014829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.42 - 0.548371742159.\nAnswer: 2.871628257841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27976 or 27949?\nAnswer: 27949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3 - 35568*j**2 + 158135328*j = 0. Calculate j.\nAnswer: 0, 8892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.142725 to 3 decimal places.\nAnswer: -0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**3 + 9*v - 10. Determine j(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c = 316*c - 2368 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.786 + -0.216. Let c = 92.43 + n. Which is smaller: -0.2 or c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.99 + -0.01. Let s = -10 - -10. Let d be (s - -1) + 16\/(-20). Which is the nearest to d? (a) -5 (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 25 = 5*i, -115*g + 3*i - 1 = -116*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/95175 and -59\/49585.\nAnswer: 20081925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -114 and 0.2.\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 16 = -5*q + 2976*r - 2980*r, 82 = -41*r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + (-6*sqrt(99)*-2)\/sqrt(9) - sqrt(22)\/(sqrt(6)\/(sqrt(24)\/sqrt(8)))*-1))**2.\nAnswer: -26*sqrt(11) + 1860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750866 is divided by 380?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 182 (c) -3 (d) -3\/8 (e) -5 (f) 5\/8 (g) 145\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (2 - 3) + 17 + -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10234 and 52632?\nAnswer: 368424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 1.2\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (8 - 7 - (1 + 4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/5 + 36*x**2 - 4386*x\/5 + 14792\/5 = 0.\nAnswer: 4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139475168*q**3 + 69737586*q**3 + 69737585*q**3 + 6*q**2.\nAnswer: 3*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 292?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 56\/12 + (-4)\/(-3). What is the highest common factor of 10 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.401 in 3, -5064, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140 - -146. Solve -a + 16 = -b*z + 3*z, 2*z = 5*a - 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 266 - -271?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40086 and 306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3500 and 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 2*t - 1. Let u = -1 - -8. Let y(h) = h**3 - 6*h**2 - 7*h - 8. Let x be y(u). Is l(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.042011t to grams.\nAnswer: 7042011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 713939.\nAnswer: -24\/713939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**2\/2 - 5*f - 1. Let u be v(-5). Solve w + 4 - 5 = u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + -42 + 1 + -1 - (2 + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 456246021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2414 - 2850 = -8*l. Does 30 divide 20\/((l\/(-30))\/(-7) - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-126)\/24 - (-6)\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12c17 - -148?\nAnswer: -12abe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*p + 66214482 + 86885513, 2*p - 153099998 = 5*k. What is k rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*d = -k - 36, 3*k + 4*d = 4. Suppose -16 = 4*s - 4. Let g = -2 + 0. Put k, g, s in descending order.\nAnswer: g, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 57, 176, 391, 732, 1229, 1912, 2811?\nAnswer: 3956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 174\/(-14)*(-371)\/954*48\/8\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b\/((b*b\/(b\/(b**8*b)))\/b*b))\/b)\/b*b**0)**(-2\/25) assuming b is positive.\nAnswer: b**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhptpsppfftbbf. Give prob of sequence ft.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(((s**(2\/5)\/s)\/s)\/s))\/s)**(2\/17)*s**(-1\/14)*(s*s\/(s**(-2\/15)\/s)*s)\/s assuming s is positive.\nAnswer: s**(12023\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2 - 4*x + 14. Let c be j(-4). Let o(l) = 9*l**2 - 39*l - 23. Is o(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911614523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9549.\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 876 by 801.\nAnswer: 292\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2 = 6. Let x = 20 + -24.2. Let n = x - -1.2. What is the smallest value in n, y, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530\/(-4743)*(-20)\/200?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/2)\/(7 - (-8536)\/(-1216)). Let v = f + -218. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 - (237 + -137 - 99).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6524992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8429203727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1 - (-10 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2294 and 68.\nAnswer: -155992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -u + 50443, 3*f - 5*u - 20125 - 17713 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26204 is divided by 8725.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/(-5) + ((-97812)\/(-780))\/(-209)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, e: 2, h: 4}. What is prob of sequence ll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -156603b (base 12) in base 15?\nAnswer: -5b34d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 8:09 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2592 and 14796?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 8792. Let q(x) = 2*x - 4401. Calculate 3*c(p) + 5*q(p).\nAnswer: p + 4371","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**7\/84 + y**6\/15 + 3*y**5\/20 + y**4\/6 + y**3\/12 - 7*y. Determine d so that m(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -138410152?\nAnswer: -138410152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -157 + 141. Calculate the lowest common multiple of -6 - a\/(-1 - -3) and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(5\/7))\/k**13 assuming k is positive.\nAnswer: k**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 2*sqrt(2448) - (2*sqrt(2448)*-6 - sqrt(2448))) + -1)**2 + 2 + (sqrt(2448) - (0 + (-2*sqrt(2448))**2)) + (sqrt(2448) + 1*sqrt(2448))*2.\nAnswer: 60*sqrt(17) + 541010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 976453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 299 - 11. Is (2\/3)\/(12\/y) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -126 + 127 - (-4 - (-13 - (-2 - (-10 + 6))))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -508 - -508. Suppose f + 2*d = 373, -2*f - 123*d + 120*d + 741 = r. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1691*y + 750*y - 12785*y - 9*y.\nAnswer: -13735*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.491 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -58528 (base 15) to base 12\nAnswer: -116948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*(1\/1)\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/6 (b) -107 (c) -0.77 (d) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -136, -35, 174, 491, 916, 1449?\nAnswer: 2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -103, -8, -3\/4, -1\/3, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eumuzuzzmz. What is prob of picking 1 z, 2 u, and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*b + 48*b + 10980 = 0. Does 11 divide 3\/5 - b\/(-90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p + 70 = 0. Find the common denominator of (-10)\/p + 275\/7 and -3\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l - 2. Suppose 12 = -2*a + 5*a. Let s = a + -6. What is the remainder when v(s) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315348.\nAnswer: 2, 3, 11, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*1\/(-3)*-3. Suppose 3*g - 4*t + 10 = u, -8 = -4*g - 2*t + 8. Suppose -g*h - 2*h = -56. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52444 is divided by 10312.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 10716 = 122911 + 10709. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935042?\nAnswer: 2, 23, 20327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-112)\/(-49)*84\/2. What is the highest common divisor of u and 1296?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p, 14 = 3*n - 3*p + p. Let j = 6725 - 6723. Solve 0 = h - 2*z - 2*z + n, 0 = -2*h - j*z + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.09, 9, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 0*i**3 + 3*i + 1\/3*i**6 - 5\/12*i**4 + 0*i**5 + 0 + 0*i**2. Find the third derivative of c(n) wrt n.\nAnswer: 240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s - 11. Give b(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -637 + 645. Solve d + 20 = -7*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1615162 (base 9) in base 14?\nAnswer: -1947b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - 2 + 5 - 7 + 2*y**3 in the form o*y**2 + f*y**3 + c*y + v and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-170)\/425)\/(((-42)\/(-20))\/(-3))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-10)\/v)\/(v*v\/v**10))**(2\/9)*((v\/(v*v**2*v)*v*v)\/v*v**(1\/2))\/(v**(-1\/2))**(-15) assuming v is positive.\nAnswer: v**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -267369, -534742, -802121, -1069506, -1336897?\n\"Answer: -3*d**2 - 267364*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (63 - 61) + -1 + 12*12. Let p(g) = 6*g + 3 - 283*g**2 + 139*g**2 + o*g**2. Determine p(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q - 5*q - 7*q)*(0 + 3 - 1)*(q - 2*q - q)*(-3 + 0 + 14) as j*q**2 + t + g*q and give j.\nAnswer: 704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y - y - 11 + 11. Let d(k) = k. Give -10*d(u) + z(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07 - 15.93. Let t = -16 - a. Which is greater: 0.4 or t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -0*z - 133. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1470\/(-90))*3\/2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m**2. Let w(i) = -760 + 8*i + 760. Give t(w(o)).\nAnswer: -704*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/((2\/24)\/(40\/(-80))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-1\/4)*c**(-6)*((c\/((c**0\/c)\/c))\/c)**(-16))**(2\/105) assuming c is positive.\nAnswer: c**(-143\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*1 + (51 - 58). Solve 20 = -4*d - 6*r + 5*r, -m*r - 20 = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/18)\/((-6)\/(-8)). Let a = -3.1 + 3. Let l = 216 + -215. What is the closest to l in g, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 8:19 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 4:47 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1195*k - 595*k - 588*k + 276 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6906 and 555933?\nAnswer: 1111866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, e: 2}. What is prob of sequence pe?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 510804919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 701119, 2804573, 6310359, 11218477, 17528927?\n\"Answer: 701166*w**2 - 44*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -8, 80, 5, -3\/7, -10?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12747 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**3 + 6*t**2 - 4*t. Let s = 76 + -74. Let u(y) = -y + s*y + 4*y - y**2 - 4*y. Determine a(f) + 4*u(f).\nAnswer: 3*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 8 = 0, 3*p + 133116 = 4*v + 133102 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 16698?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1210 and -30187.\nAnswer: 36526270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 11 = 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -4 - 12) + (7 - 4 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**4\/4 + 2*d. Let l(m) = 3*m**2. Give y(l(o)).\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 a factor of 2201639653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 135781880 a multiple of 2990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 76957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 h when four letters picked without replacement from qjdhdhdwddhbhbd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 - 105.9. What is the closest to a in 3, 1\/5, 9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5797.003421 + -5797. Round z to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125107.\nAnswer: 125107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28814 + 28814.3. Which is the nearest to -1? (a) 0 (b) o (c) 8.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 228 + -121. Let k = 129474248 + -129474140.999909. Let z = k - p. What is z rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 1. Let y be 4 + (2\/(-2) - m). Suppose 0 = -0*n - n - d + 55, y*d + 179 = 3*n. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 435*t + 2. Let z(k) = 6*k**2 + 1300*k + 7. Determine -7*a(s) + 2*z(s).\nAnswer: -2*s**2 - 445*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (130\/(-6))\/(-5)*-3. What is the common denominator of 1990\/(-84) + (w\/(-7) - 2) and 7\/62?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56599.862 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2. Let r(o) = 7587*o. What is p(r(s))?\nAnswer: -57562569*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5373.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 8:30 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 21*t**2 - 94. Let m(r) = -2*r**2 - 15. Give g(z) + 3*m(z).\nAnswer: 15*z**2 - 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 + p**3 - 47*p + 2*p**2 + 26*p + 1 + 19*p to the form s*p**2 + v + z*p**3 + q*p + g*p**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.5477 + 0.4523. What is the nearest to 2\/7 in 3\/5, -0.01, h?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/5 - 30\/(-150). Put -338, y, 3 in descending order.\nAnswer: 3, y, -338","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 93272, 3, 43 in descending order.\nAnswer: 93272, 43, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -79*p**3 + 2*p**2 - 2*p + 421. Let a(k) = 198*k**3 - 4*k**2 + 5*k - 842. Give -2*a(v) - 5*h(v).\nAnswer: -v**3 - 2*v**2 - 421","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 131*i**2 - 6*i - 4. Let g(a) = -a + 14. Let b be g(10). Suppose b*f - 2 = -v + f, 4*f = -4*v. What is the hundreds digit of k(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgwqq. What is prob of picking 1 w and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**3 + r**2 - r - 1. Let x(o) = -3*o**2 - 17*o - 14. Let b be x(-7). Let k = 41 + b. Let v be c(k). Let z(p) = p**2 + 5*p + 2. What is z(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 459 + 36?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 638303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 - 7*x**3 - x**3 + (2*x - 2*x - 2*x**2)*(2*x - 3 + 3) + 0 - 7*x**3 + 0 + 6 - 4*x**3 - 2*x**3 + 8*x**3)*(1 - 6 + 2).\nAnswer: 51*x**3 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 + 28*k**2 - 23*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x + 78 - 8. Solve -x*b = -7*b - 4*m + 4, -5*m + 15 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k + 3*a + 436, -2*a = -4*k + 1754. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 2*w + 1603. Give t(-41).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10620430 from -0.01.\nAnswer: -10620430.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 326 = -2*p - 12, -p - 4*h + 154 = 0. Is p a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 1. Suppose -4*c = -9*c. Let z be (-4 - (-1 + 2)) + c + -2. What is r(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 21*c**2 + c - 1. Let f(p) = -23*p**3 + 85*p**2 + 9*p - 3. Determine f(y) - 4*w(y).\nAnswer: -23*y**3 + y**2 + 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*n + 2*l - 4*l, 5*n + 9 = 3*l. Let c(g) = -4*g - 13. Let s be c(n). Is -3 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + 30 - (11 - 1)) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 377, 482, 639, 854, 1133, 1482?\nAnswer: 1907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 5. What is the second derivative of -20*s**4 + 11*s**4 + 9*s**4 - 7*s - h*s**5 wrt s?\nAnswer: -100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2 - 111*d + 238 with respect to d.\nAnswer: -4*d - 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-91)*8\/(-4)*-22*(-420)\/440?\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19643997?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2608177, -2608174, -2608171, -2608168, -2608165, -2608162?\n\"Answer: 3*j - 2608180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 11*p + 12. Suppose -2*t = -p*t + 12. Find the second derivative of 7*q - t*q**3 + 6*q**3 - q**3 + 8*q**3 wrt q.\nAnswer: 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2444 - -21.2444. Which is the closest to 2\/3? (a) 2 (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3713157 (base 12) to base 7\nAnswer: 160111603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-1) - -3) + 26*1. Suppose -k - 1 = -5*u - m, 3*k + u = 75. Let l = k + -8. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3467\/2, -3, -5.\nAnswer: -5, -3, 3467\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 720251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 10*w - 15. Give r(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11943335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 z when three letters picked without replacement from {z: 2, o: 4, l: 8, t: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 less than 0.84085366494?\nAnswer: -343.15914633506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/2 + 34569*j**2\/2 + 69131*j\/2 - 103701\/2 = 0. Calculate j.\nAnswer: -34567, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r - 6. Let l(x) = -2*x + 3. Suppose 8*f + 10 = -6. Suppose -65 - 490 = 111*d. Give d*l(g) + f*w(g).\nAnswer: 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**6\/40 + 116*i**5\/5 + 3174*i**2. Factor z(k).\nAnswer: 3*k**2*(k + 464)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 24*x - 184. Let r(h) = 29*h - 183. What is -5*r(m) + 6*z(m)?\nAnswer: -m - 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 411 - -1110. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1152 and 426.\nAnswer: 81792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (24 - 9 - 19)) + -42 + 2?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 269526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33962470 and 4910.\nAnswer: 4910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, 1, -2, 8\/279, -5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101122202 + 10121?\nAnswer: 101210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12\/19, 6\/5, -0.2, 1\/4?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**4 + 120*u**3 - 231*u**2 + 114*u = 0. Calculate u.\nAnswer: 0, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1977 + 2*z**2 - 1977.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3978, 31812, 107452, 254802, 497766, 860248, 1366152, 2039382?\n\"Answer: 3984*r**3 - r**2 - 51*r + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*b + 40 = 0, -5*z + 4*b = 23 - 185. Suppose 18*g - 22*g = -12, -147 = -3*j + 2*g. What is the greatest common divisor of j and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1178 = 4*j + 2*n, 3*n = 6. Let i be j - (-12 + 0)\/(-4). Let x = i - -593. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + 3.03. Let y = -3.3 - 1.7. Let j = w + y. What is the third biggest value in -4, j, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 5. Let h be c(0). Let o = h + -3. Suppose -o*a + 2 = 0, 3*a = -4*v - a + 8. Solve 5 = 5*q, 3*x + 4 + v = 2*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4821311?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 v, and 1 p when four letters picked without replacement from vrpvp.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22985*d**3*f + 3*d**3 - d**2 - 793*d + 2*f**4 wrt f.\nAnswer: 22985*d**3 + 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5951*y - 7569674. What is g(1272)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, s: 3, w: 5, g: 1, h: 1}. Give prob of picking 1 g and 1 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9902 divided by -2\nAnswer: -4951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 6. Let u be n(-6). Let q = -36 + -597. Is (q\/9)\/(6\/u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2846506 to the power of 1\/2, to the nearest integer?\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, -9, -48, -87, -126, -165?\n\"Answer: -39*b + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k**2 - k**3 - 20*k**2 + 0*k**3.\nAnswer: -k**3 - 36*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -83*b. Let a(r) be the third derivative of -r**5\/20 + 6*r**2 + 47. Calculate f(a(t)).\nAnswer: 249*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1110.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 255\/15 - 7 - 12. What is the closest to n in 2, -2, 10\/11, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264346127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 10:33 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -7*z**5\/24 + 305*z**4\/12 + 175*z**3\/12 + 368*z**2. Factor l(p).\nAnswer: -5*(p - 35)*(7*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**12\/n)\/n*n\/(n*n**(-2\/9)*n))\/(n**(-9))**(-16\/5) assuming n is positive.\nAnswer: n**(-881\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036523616 rounded to seven decimal places?\nAnswer: -0.0003652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3000, -6000, -9004, -12012, -15024, -18040?\n\"Answer: -2*m**2 - 2994*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 1636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20223 * 0.048.\nAnswer: 970.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 159 - 7998687.\nAnswer: -7998528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - 3*sqrt(132))\/(sqrt(66)\/sqrt(294))*-3.\nAnswer: 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/(2\/12). Let m = -3 - -6. Let d be 10\/55 - 4\/143. Put r, d, m in descending order.\nAnswer: m, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*f + 6, -3*x - 2*f = 8*f + 3*f - 10*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*l - 3, 8 = a - 4*l + 2. Suppose 6*x = -13 + 187. Suppose -2*f = s - a*s - x, -3*s = -f + 7. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**4\/24 - d**3\/6 - 4*d**2. Let o(a) = -4*a. Suppose 4*v - 6 = 6. Calculate v*x(k) - o(k).\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(3\/11))\/n**(3\/10) assuming n is positive.\nAnswer: n**(47\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 3*c - 2*c)*(-c + 2 - 2) + (3 - 2*c - 3)*(4*c - 17*c + 6*c).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*m + 30 - 1, -23 = 4*m + 3*t. Let k be 1*(m - -4 - 2). Let p(n) = 13*n - 4. Let h(d) = 7*d - 2. Let q(f) = -11*h(f) + 6*p(f). Calculate q(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 111419 (b) 2\/11 (c) -2\/179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 725 + -738.69. Let r = j - 0.31. Let q = r + 11.6. Round q to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*y + 4*m, -3*m - 6 - 6 = y. What is the units digit of 6\/y - -3 - -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611192705 to the power of 1\/2, to the nearest integer?\nAnswer: 24722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -462 equal to -366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 12 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70.2 - -70. Which is the third biggest value? (a) -4 (b) l (c) 0.4 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 + 154*d + 38. Let m be u(-32). Calculate the greatest common factor of 30 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3495565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 15*j**4\/2 + j**3\/3 - j - 2. Let q be k(-1). Let z be 5\/q - (-650)\/12. Calculate the highest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**8\/12600 + t**7\/4200 + 11*t**5\/60 - 3*t**2. Let l(w) be the third derivative of f(w). Factor l(u).\nAnswer: -2*u*(4*u - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17704 + -10935. What are the prime factors of y?\nAnswer: 7, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 4. Let g be w(-2). Suppose g*b + 4*b - 28 = 0. What is the smallest common multiple of 10 and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**3 - 344024*k + 344024*k - 5*k**3 + 3*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -17*t**2 - 1. Let s(y) = 10*y**2. Calculate s(z(k)).\nAnswer: 2890*k**4 + 340*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 537 (base 8) to base 13\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-7 + 0) - (1882 + -1876)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -11*t**3\/6 + 2*t**2 - 3*t. Is k(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 127561235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + (95 - 80 - 39).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = 2*b. Let h = b + 5. Suppose 0 = -2*r - 4, -2*r = -4*g + h*r + 26. Solve -g*l + 1 = -15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*v + 16 - 4 = 0, -n + 4 = v. Solve 9*x + 40 = n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12336 is divided by 231.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 5138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-13014)\/44 - 264\/(-968))*78\/(-9).\nAnswer: 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-209440)\/(-22) + -1 + -1. Suppose -4*d + a = 1726. Suppose -8*q + d = -2076. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117771 is divided by 3918?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - o + 5 = 0, -o = -u + 2 - 1. Sort u, 4, -2 in decreasing order.\nAnswer: 4, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -3\/5, -3\/4195, -2, 1, -3, -22?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -8, -2\/13, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -40027218 at least -40027220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 276 + -280. Let z be (-897)\/(-138) - (-2)\/d. Solve z*s + 13 = -11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 4*g - 10 = 7*x, 3 = -x - 5*g. What is the closest to 2 in 2\/31, 0.4, x, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2448833 is divided by 496?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*x**4 - 5*x - 2660?\nAnswer: -152*x**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -352818*w. Let h(l) = -6*l**2. Determine h(s(m)).\nAnswer: -746883246744*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2, -3, 0.4, -4\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + (sqrt(5) - (sqrt(125)*1 - sqrt(5))))) + sqrt(50)\/sqrt(160).\nAnswer: 13*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-83 - -78)*6\/30*2\/(-1). Which is the closest to d? (a) 0.2 (b) 5 (c) 1109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 25*u**2 - 195*u + 444. Calculate the remainder when r(39) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -37*r + 60. Let h(o) = -55*o + 90. Let l(y) = -5*h(y) + 8*u(y). List the prime factors of l(-16).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 102*n + 3807. Let r be f(-37). Solve r*b = 3*b - 60 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/2, 0.2, -1\/6, 0.4 in decreasing order.\nAnswer: 25\/2, 0.4, 0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 12, 16, 20, 24, 28?\n\"Answer: 4*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5 - 1389*r**4 - 11313*r**3 + 4173*r**2 + 31134*r - 22608 = 0 for r.\nAnswer: -8, -2, 1, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53.7 and 72107.\nAnswer: -3872145.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1976912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.25996168 to 4 dps.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*f - 17826 - 2009 = 424*f + 10387 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 0*i**3 + 4*i**3 + (82*i**2 - 151*i + 151*i)*(-12*i - 2 + 22*i - 8*i).\nAnswer: 166*i**3 - 164*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 521*f**2 + 12*f - 1562. Let z(q) = 2*q + 1. Let d(r) = -b(r) + 6*z(r). Differentiate d(m) with respect to m.\nAnswer: -1042*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**2 - 2*b**2 + 4*b**2)*(2*b - 2*b + 2*b) + b**3 - 6*b**3 + 4*b**3 + 14300 + 6*b**3 + b - 14300 to x*b**3 + z*b**2 + d + p*b and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2580 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 468 and 105471?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 3485*g + 3486.\nAnswer: -(g - 1)*(g + 3486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/65)\/((-18)\/(-45)). Let x = 129 - 125. Which is the third biggest value? (a) x (b) 2\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*c + 13890 = -41*c - 47*c. Is 109 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2862206 + -405?\nAnswer: -2862612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.12601 centuries in decades?\nAnswer: 321.2601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + -1*sqrt(152))\/sqrt(8))**2 + ((-3 + sqrt(19))*-5 - sqrt(19)).\nAnswer: -6*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-3\/31))**(-2\/117)*(((a*a*a**(7\/2))\/a)\/a)**(-5) assuming a is positive.\nAnswer: a**(-127181\/7254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -597, -1617, -4233, -9243, -17445, -29637, -46617, -69183?\n\"Answer: -133*m**3 - 89*m - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6133 equal to 6131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -16113?\nAnswer: -16113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*u**3 - 22*u**2 + 38*u - 8.\nAnswer: -2*(u - 1)*(u + 4)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7802 and -112878.\nAnswer: -120680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*u - 42 = -345, 0 = 4*u. What is the units digit of ((-4)\/((-24)\/d)*4)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-28)\/74) - 10\/(-2). Which is the third smallest value? (a) -0.3 (b) -0.4 (c) z (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 18 = -18*o. Let f(h) = -h**2 + 11*h. Let k be f(o). Suppose y - 3*y = -12. Calculate the greatest common factor of y and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.04?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207253 and 3151.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*t - 18, t + 5*w = 4*w + 8. Let p(i) = -i**3 - i + 0*i**3 - 5 + 0 + 6*i**2 - 1. Does 7 divide p(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 9:24 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d*d**0)**(2\/7) assuming d is positive.\nAnswer: d**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 3:26 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*z - 2*z, 2*f - 4*z - 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 8359262041*c**4 + 16718706940*c**3 + 365717*c**2 + 2*c = 0.\nAnswer: -2, -1\/91429, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v - 40 = 4*p, -52 = 5*v + 3*p. Let b be 8\/10 + 17*v\/20. Let a(n) = -n. Give a(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.6 (c) 38 (d) 9 (e) -34 (f) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = 18 - 18. Suppose -l + 4*b + 1 = 0, -4*l + 16 = -7*b + 3*b. What is the third derivative of -2*a**2 - 2*a**2 + k*a**2 + 7*a**4 + l*a**2 wrt a?\nAnswer: 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 3*p - 13, -23 = 4*q + p - 2*p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855358 is divided by 22402?\nAnswer: 4082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, o: 5, z: 1, m: 1, b: 1}. Give prob of picking 1 z and 1 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1312310?\nAnswer: 1312303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*o + 32 = 5, 4*d + 4 = -4*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = 569*x - 577*x. Let t = -6 + 9. Let b be (t\/(-6))\/(1\/(-2)). Sort x, -2, b in increasing order.\nAnswer: -2, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -88*v**3 + 13*v**2 + 14*v + 11. Let j be c(-9). Let k = -152089 + j. Let b be k\/(-3) - 2\/(-6). Round b to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001004 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 48.206 times 1.2\nAnswer: 57.8472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**30)*v*v**(-12)*v assuming v is positive.\nAnswer: v**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 206358 + -13619569\/66. What is the common denominator of d and (-3)\/(-88) + 2\/(-4)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 5*j - 4*s, -4*j = -2*s + 47 + 97. Suppose -229 + 684 = 5*d. Let f = j + d. List the prime factors of f.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**3 + 24*k**2 + 14. What is the tens digit of b(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 2*h**2 + h. Let p(y) = -4*y**3 + 10*y**2 + 5*y - 7. Let s(f) = p(f) - 5*v(f). Give s(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 2933?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 13*h**2 + 7\/24*h**4 + 0*h**3 + 1\/120*h**5 - 1\/180*h**6 + 0*h + 0. Let g(u) be the second derivative of n(u). Give g(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 5*m**4\/24 + 3*m**2. Suppose z = 2*y - 3, 5 = -2*z - 12*y + 15*y. Let k be b(z). Do -5 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/37 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4158 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-8 - (-104)\/8)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-480)\/168*4*4\/(-80).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.83604nm to centimeters.\nAnswer: 0.000005683604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 8:57 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -2, -4, 5 in descending order.\nAnswer: 84, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/((-234)\/(-24)))\/((-10)\/3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, and 2 s when four letters picked without replacement from wqqwswswswsqwqwwwwb.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**2*o**5 - k**2*o**3 - 45*k**2 + k*o**2 + 4*o**4 - o wrt o.\nAnswer: -180*k**2*o**2 - 6*k**2 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 26) + (77 - (1 + -47)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 887?\nAnswer: 14\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + -30 + 88 - -12.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 1929, -10, 10 in ascending order.\nAnswer: -10, -4, 5, 10, 1929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115731 and 1172754.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.6 and -35.\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/3)*t**(-2)*t*(t\/(((t\/t**(-3\/7))\/t)\/t*t))\/((t*t*t**(-2\/7)\/t)\/t) assuming t is positive.\nAnswer: t**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218653 is divided by 1885?\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 12*c + 10. Let f be o(12). What is f rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from {p: 2, d: 1, k: 2, e: 2, g: 3, i: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*w = -138, 3*b - 6*w = -2*w - 85. Let m = b + 31. Solve m*p = 13 - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*c**2 + 47*c**2 + 51*c**2.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/2997483 and -23\/5511.\nAnswer: 32972313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 + -5.11. Let j = s - -8. What is the smallest value in -5, 4, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -783 - 9254*u**2 + 783.\nAnswer: -9254*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160056 and 54.\nAnswer: 160056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, -2.\nAnswer: -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_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: Suppose -5 = -r + j, -10 = 3*j - 1. Solve -n + r = -0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13649 + -13527.993. Let r = -0.007 + i. Let v = 98.4 - r. What is v rounded to zero dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i - 2. Is k(-3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/4 - 3\/2. What is the second biggest value in s, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 9:20 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.608769l to millilitres.\nAnswer: 6608.769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 50*k**5 - 8*k**3 + 268*k**2 - 8*k - 24. Let q(r) = r**3 + r + 3. Let g(t) = -d(t) - 8*q(t). What is the third derivative of g(l) wrt l?\nAnswer: -3000*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1665, -1711, -1745, -1761, -1753, -1715, -1641, -1525?\n\"Answer: n**3 - 53*n - 1613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 1026 = 12*t. Let i = 10203\/10 - t. What is the common denominator of i and (-310)\/48 - 4*15\/(-12)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58730293\/300 - 195768. What is the common denominator of p and -76\/33?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -7696602.\nAnswer: 11\/7696602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1111111110110?\nAnswer: -1111111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 24 = 4*z. Let v be z\/((-9)\/(-3)) - -51. Are 53 and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3313342 and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i**5 - 17*i**5 + 10*i**5)*(-2 - 2 + 1) + (-6*i**3 + 10*i**2 - 10*i**2)*(-i - i**2 + i).\nAnswer: -21*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*n - 5*n. Suppose 3*f + 2*f + 115 = n*u, 140 = 3*u - f. What is the highest common factor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23471 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 + 596. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -41. What is the remainder when r is divided by (-6 - (5 + -15))\/((-2)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 3*o + 9. Let w(h) = -h - 11. Let r be w(-7). Let g be t(r). Suppose -x + g = -0*x. Solve 3*z + 1 = -5*l - z, -4*z = l + x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1003, 2008, 3013, 4018?\nAnswer: 5023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = 0. Let i(r) = -r + r + r**2 + o*r. Let m(t) = 4*t**2 - 5*t + 5. Let d(q) = 5*q**2 - 6*q + 6. Let p(j) = -5*d(j) + 6*m(j). Give i(p(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 0.1, 0.0301, -1\/4, 2, -3\/109?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*y + 22 = 87*y. Solve 2*p + y*p = -3*d - 1, 3*p - 3 = -3*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/(-33) - 4\/(-22). Let s(l) be the third derivative of -l**6\/120 + l**5\/60 + 28*l**2 - l. Calculate s(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.11 to the nearest integer.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42063537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2219, 4433, 6645, 8855, 11063, 13269?\nAnswer: 15473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.24313904 to two dps.\nAnswer: -51.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353 - 320*m + 948*m - 311*m - 319*m.\nAnswer: -2*m - 353","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133202 (base 5) to base 2.\nAnswer: -1010100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 7*m - 2*m in the form l + r*m and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 64?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -302 + 299. Let m be (w\/45 + 12\/30)*174. Calculate the greatest common divisor of m and 464.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2958 and 25963845?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a - 5*a + 144*b - 694 = -a, -a - 22 = -3*b - 0*b - b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4460780?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**6\/40 - 6*o**2. Factor t(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + g - 8. Let s be u(-3). Sort 17, s, 1 in ascending order.\nAnswer: s, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250, -1033, -2344, -4189, -6574, -9505, -12988, -17029?\nAnswer: -21634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.052 and -152.54.\nAnswer: 7.93208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-96)\/(-224)*(-21)\/(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*y**2 - 52*y**3 + 140*y - 140*y wrt y.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200952 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-15)*-5)\/(-2 - 252\/(-27))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**6\/360 - p**5\/60 - p**4\/24 + p**2. Let f(d) be the second derivative of s(d). What is the units digit of f(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 1675.\nAnswer: -3350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 82169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**3\/5 + 7914*t**2\/5 + 213369*t + 7016880 = 0?\nAnswer: -65, 2768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -149311390 to the nearest one hundred thousand.\nAnswer: -149300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/9 - 787*i**2\/9 - 71500*i = 0?\nAnswer: -500, 0, 1287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1544, -6156, -13840, -24596, -38424, -55324?\nAnswer: -75296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-40)\/8)\/(-2 + 1). Suppose k = 5*q - k - 128, k = d*q - 124. What is the remainder when q is divided by (-2 + 3)\/(1\/13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 130625513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66455?\nAnswer: 5, 13291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g + 31. Let t(x) = -4*x + 15. Let w(h) = 3*l(h) - 5*t(h). What are the prime factors of w(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0395575 rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 5*z**2 - 7*z + 9. Let o be h(6). Sort 6, o, -2 in decreasing order.\nAnswer: 6, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jllj when four letters picked without replacement from {j: 2, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, q: 7, v: 4}. What is prob of picking 2 q and 1 y?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-550)\/45))\/((-4)\/(-60)*33\/22)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -15*j - 6*j - j - 23*j**2 - 10*j**2 - 5*j + 27. Let t(d) = -d**2 - d + 1. What is 54*t(z) - 2*y(z)?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/(-1))\/((-2)\/61)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b8ddc (base 15) in base 14?\nAnswer: -548204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20096087 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 plus 3890296?\nAnswer: 3890263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/108)\/((-10)\/15). Which is the nearest to -3\/4? (a) 2 (b) -1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00052829 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201212020 + 11?\nAnswer: -1201212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -19, 0.07, 16288, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(98))**2 - sqrt(98).\nAnswer: -77*sqrt(2) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**4 - 16854044*l**3 + 133128165*l**2.\nAnswer: -24*l - 101124264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6327.\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1556793?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*i - 20 = 82, -w = 2*i + 39. Is 36 a factor of 54\/((-2)\/20*w\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 235 = 7*s. Let u = 53 - s. Let j(o) be the first derivative of -o**3\/3 + 7*o**2\/2 - 1. What is j(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 21 = -4*m + 53, 61 - 53 = 2*u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -44*o - 5. Suppose -5*t + 55 = -0*h - 2*h, 4*h = 3*t - 75. Is i(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -493, -1035, -1641, -2341, -3165, -4143, -5305, -6681?\nAnswer: -8301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 91, -13, -151, -335, -577?\n\"Answer: -2*c**3 - 5*c**2 - 75*c + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 177460473571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333642601 to the power of 1\/2, to the nearest integer?\nAnswer: 48308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -108, -176, -244, -312, -380?\n\"Answer: -68*z - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 - 6.91. Let a = -2 + 3. Is a < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 243867 and 1634919.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-5) + 42\/10. Suppose -18 = -v*x + 7. Which is the closest to 0.1? (a) 2\/15 (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/88507068 and 13\/33.\nAnswer: 973577748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -128. What is the common denominator of 17\/13 and -1 - 2*(-268)\/t?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + -4. Let u = 18 + a. Solve -d = -u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(245) + -2 + 4 + (sqrt(245)*1 + -2)*-3)**2.\nAnswer: -224*sqrt(5) + 1042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 91, 92, 93, 94?\n\"Answer: o + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 + 10?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15263234 is divided by 461.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tctt when four letters picked without replacement from {c: 6, t: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 132 divided by 12\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -2*o**3 - 13*o**2 - 8*o - 6. Suppose b(j) = 0. Calculate j.\nAnswer: -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3180 and 85860.\nAnswer: 85860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9578\/27 = 355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242c (base 13) to base 12.\nAnswer: -2b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/19 or 0?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*v + 38 = -2*c, 3*v = -4*c + 152. Solve -40*j + 10 = -c*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**4\/4 - 4*r**3\/3 + r**2 + 4*r - 21. Let f be n(-4). Sort -3, -1, 1, f in ascending order.\nAnswer: f, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369376.\nAnswer: 2, 7, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/24 - (92\/18 + -3). Sort 0.4, j, 5 in descending order.\nAnswer: 5, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 14 = -t. Let i = t - 21. Let v = 4 - i. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4950.1 and -117.1959.\nAnswer: 4832.9041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 4785355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/3 (b) -1 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-60)\/70)\/((-1)\/7). Let j(v) = 4*v - 2. Let a be j(s). Calculate the highest common factor of 33 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6377?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 3. Let m(w) = -2*w + 1 + 0 + 1. Let f(h) = -6*m(h) - 4*q(h). Let l(r) = r. Give f(l(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -1\/20*n**5 - 2*n**2 + n - 1\/3*n**4 + 0 - 1\/3*n**3. What is a(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 15. Suppose 15 = 4*y + 7. Let l(v) = 3*v + y - 4*v - 3 + 2*v. Give l(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*q + 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.6 and 6.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.3. Let p = 0.05 - 2.05. Let o = 30 + -30.4. Which is the second smallest value? (a) i (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**3 + 637*k**2 + 122320*k + 6260004 = 0?\nAnswer: -278, -81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*h**3 + 1246*f**2*h**2 + f**2*h - 6*f*h**3 - 7*f*h + 17*h**3 wrt f.\nAnswer: -4*h**3 + 2492*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (27 - 13 - 19).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6964 divided by -9?\nAnswer: -6964\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from ieehvhe.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -55*p + 1603. Let m be y(29). Solve -5*t = -4*i + 4, -m = 3*i + 16*t - 17*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j - 8. Let r(n) = -n - 3. Give -28*r(u) - 4*y(u).\nAnswer: -4*u + 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 33. Let m = l + -34. Suppose 4*i + 0 = 4*h + 4, m*i = -3*h - 23. Put h, 21, 4, -2 in decreasing order.\nAnswer: 21, 4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h. Let f(u) = u**2 + 22*u + 2. Let q be f(-22). Let s(x) be the first derivative of 0*x - 3\/2*x**q - 3. Determine s(b(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17270 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/14 and -131\/41780862.\nAnswer: 292466034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-4))\/((-4)\/(6592\/4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 9:48 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31654451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = -12. Suppose -9 = -2*f - f + 3*o, z*o = 5*f - 15. Solve a = -f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 + r**3 - 2*r + 3*r**3 + (-3*r + 3*r - r**2)*(-4*r + 2*r - r) + 3*r + 2*r**3 - 3*r.\nAnswer: 4*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 233698 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 c when three letters picked without replacement from cesffaa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 60*l**2 + 119*l - 286. Let j be c(-62). Sort 2, -5, 4, 5, j in decreasing order.\nAnswer: j, 5, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 5*i**2 + 5*i - 7. Suppose 0*o - b = o - 249, -5*b + 269 = o. Let s = o + -239. Determine q(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/226 + -459\/1582. Let p = -3 + 8. Which is the second smallest value? (a) p (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27650940*b**2 + 27650940*b**2 - b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 5*f = -3, -5*d + f + 2*f = 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + t**2 + 2*t + 1. What is the remainder when 22 is divided by d(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2161, -4346, -6553, -8788, -11057, -13366?\nAnswer: -15721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-25) - (-2)\/(-10). Let w(h) = 2*h**2 - 2*h - 1. Determine w(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 13*p + 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 27 = 15. Let n be (2\/(-14))\/((-8)\/16). Which is the nearest to -1? (a) -4 (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 3421110321?\nAnswer: 3421110332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 65.6?\nAnswer: 64.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*n**2*v**3 + 54*n**2*v**2 + 2*n*v**3 + 5*n*v + 33*n wrt n?\nAnswer: -10*v**3 + 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 139836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*m - 77831 + 76291 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, t: 4, r: 2, j: 3}. Give prob of picking 2 s and 2 t.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.675 + -16.075. Let s = -0.5 - -0.5. Put s, 62, v, -0.5 in ascending order.\nAnswer: -0.5, v, s, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 - 2 - 2 + 4.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3203630 to the power of 1\/2, to the nearest integer?\nAnswer: 1790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255202, 255201, 255200, 255199?\nAnswer: 255198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2351 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -k + c, -3*k - c - 3 = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 39, 56, 73, 90, 107?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**5\/20 + 5*f**4\/12 - 2*f**3\/3 + f**2 - 3*f. Let h be m(4). Let j(v) = 18*v. What are the prime factors of j(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2104\/(-20) - 3\/(-15). Does 18 divide -8*(-1 + n\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/((-1)\/(-2)*4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*c + 67*c - 137*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 4)*(-13*t - 2*t + 4*t)*(-4 - 15 - 4 + t) + 2*t**2 - 2*t + 2*t to the form a + d*t + q*t**2 and give d.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -621, -4956, -16721, -39630, -77397, -133736?\nAnswer: -212361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 282 = 2*n + 95, -4*h - 306 = -3*n. Suppose -3*d = -n + 77. Solve -d = 2*i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299 a factor of 54445714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -124790748*a**6 + 16*a**2 + 99859*a + 10 wrt a?\nAnswer: -14974889760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 564?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {i: 2, n: 5, z: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.3 (c) -5 (d) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 153150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 13 = f - 0*f, 4*i + 52 = 4*f. Suppose 2*d - g - 77 = 0, 0 = d - 2*d - 3*g + 42. Calculate the highest common divisor of f and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4*o = 0, -44*o + 110 = 26*j - 23*o - 24*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -20*o**2 + 289*o - 124. Let b be i(14). Solve 3*z - 20*r + 26 = -16*r, -5*r = -b*z - 29 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11883 - 6993. List the prime factors of r.\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(20\/(-17)) + -1 and 372\/(-8) + 0 + -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3)\/t**(-9))\/((t**(1\/3)*t)\/t)**(1\/50) assuming t is positive.\nAnswer: t**(433\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6396)\/1353)\/((-2)\/11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 divided by -49?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 5*b**2 - 4*b - 1. Suppose -3*h - 3*g + 3 = 27, 0 = -h + 5*g + 4. Give n(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456679667799 less than 0.2?\nAnswer: -456679667798.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/7, -1954, 2\/7, 2, 0?\nAnswer: -1954","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 1632*p + 4869.\nAnswer: 3*(p + 3)*(p + 541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence all when three letters picked without replacement from llylballlalayy?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -424, -3, -0.3, -19\/27, -4?\nAnswer: -424","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.6861+17077358\nAnswer: 17077361.6861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613361 is divided by 266.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1299 and 521648523.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 71*z - 57. What is the remainder when 3268 is divided by o(-72)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17760\/72 - 4\/6 - 1. Let c(o) = -37*o**2 - 4*o - 6. Let s be c(-2). Let v = s + g. What is the remainder when v is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -10 (b) 2 (c) -183\/20 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/35 - (-6)\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 421276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**2 - 9*l + 11. Let t(c) = -10*c**2 + 14*c - 17. Give -8*p(u) - 5*t(u).\nAnswer: -6*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-30)\/54)\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = 18*d - n + 43037, -28688 = -2*d + n. What is d rounded to the nearest one hundred?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 y when four letters picked without replacement from jywxjijjywyyxwyj.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 1 + 0 + 4*v. Let s be c(-5). Let u be (-16)\/s + (-12)\/18. Solve w - u = 2*d + 2, -4*w + 16 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*j - 30 + 307*j**2 + 31*j - 309*j**2 to i*j**2 + s*j + z and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 25896*q - 388215.\nAnswer: -(q + 15)*(q + 25881)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32514 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t + 2 + 11*t - 64*t - 31*t in the form n*t + o and give n.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17 - -20)*4\/6. Let m(g) = -g - 1. Let c be m(-3). Let l(f) = 0 + 2*f + 3*f**c - 4*f**2 - f**3 + 0 - 3. Give l(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -372240 rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*x**2 + 2*x**4 - 126*x**2 + 58*x**3 - 183*x**2 + 210*x**3 wrt x.\nAnswer: 48*x + 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 u when four letters picked without replacement from uooooouqoupo?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -9*d + 18. Let x be 1*3 - (9 + -18 + d). Solve -2*v + x*v - 3*n = 25, -3*n = 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26522849234 plus -117.1?\nAnswer: -26522849351.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -29*w + 35*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 2\/437, 0.05, -1.\nAnswer: -1, -1\/7, 2\/437, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233 - 125. Calculate the remainder when z is divided by 1*(-2 - -36) + (-92)\/(-23).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 37071181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - a + 9 = o, o - 4*a + 2 = 0. Let i(z) = 5*z - 3. Determine i(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-6)\/24*32\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101306288 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*c + 37, 7*q - 2*q - 60 = -3*c. Suppose q*z - 160 = 641. Suppose 3*w - 4*n - z = -2*w, 4*w - 68 = 4*n. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, -6274, 19 in descending order.\nAnswer: 133, 19, -6274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3990.79 + -3962. Round t to one decimal place.\nAnswer: 28.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3 + 2660*y**2 - 16014*y + 24048 = 0.\nAnswer: -1336, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by (-35)\/42*(-8)\/10*9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 18 = -14. Let g be (n\/(-14))\/((-10)\/70). Find y, given that -1\/2*y**2 + 0 + 1\/2*y**g + 1\/2*y**3 - 1\/2*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19610669*t**5 + 702*t**2 - 3*t - 2568.\nAnswer: 1176640140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u**3 - 13*u**3 - 8*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {j: 5, y: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**5\/60 - 11*m**3\/6 + 26*m**2. Let z be p(-4). Let q(w) = -w**3 + 4*w**2 + 4*w - 4. Give q(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4\/3 + 349*h**3\/3 - 351*h**2 + 1055*h\/3 - 352\/3 = 0. What is h?\nAnswer: -352, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118322466, 236644936, 354967406?\nAnswer: 473289876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/4)\/(-3))\/((143\/(-22))\/13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1655040 divided by 1.\nAnswer: 1655040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/5 + 15939*k**4 + 546399336*k**3\/5 + 227435756976*k**2\/5 + 4818756104448*k - 14868604523520 = 0.\nAnswer: -13064, -220, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 14 + 13)*(-3 - 2*i + 3) + (-4*i + 4*i + 2*i)*(5 - 5 - 2) in the form y*i + w and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 473.2772 micrograms?\nAnswer: 0.0000000004732772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 243 + -450. Let x = 204 + f. Put x, 5, 2\/15, -4 in ascending order.\nAnswer: -4, x, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {d: 6, i: 4, h: 3, p: 2, g: 1, x: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64028*d - 22*d**5 + 64028*d + (4*d - 6*d + 4*d)*(2*d**4 - 5*d**4 + 2*d**4).\nAnswer: -24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-145)\/(-125) - 16\/20. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-6)*k)\/(k*k**(-6)))**(-9\/4)*k**3*k**(-3\/2)*k**6\/k*k**(1\/2) assuming k is positive.\nAnswer: k**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -15472\nAnswer: -1\/15472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + 25*s**2 - 7*s - 167. Is v(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 932214 and 2.\nAnswer: 932214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/468 and 53\/624?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -136738 + -43?\nAnswer: -136782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5\/38, 9\/139, 14, 2\/5 in decreasing order.\nAnswer: 14, 2\/5, 9\/139, 0, -5\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01460678 to five dps.\nAnswer: 0.01461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 24*d**2 + 28*d - 80. Let s be b(25). Are s and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529104.\nAnswer: 2, 95569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*h = 23, 3*l + l + h - 48 = 0. Suppose -4*v - l = -3*s, v - 6*v + 20 = 3*s. What is the smallest common multiple of 2 - v - (-36 + 7) and 22?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2670 times 0.18?\nAnswer: 480.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3\/8))\/f**1)\/(f**(-1\/7)\/(f**(6\/13)\/f)) assuming f is positive.\nAnswer: f**(-15\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2741 + -2741.5. What is the nearest to 0 in r, 2\/3, -0.014?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*a**3 - 16*a**3 - 17*a**3 - 10*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -13*a + 1. Let t be ((-5)\/15)\/((-2)\/(-6)). Let d be j(t). Solve 5*l = -5*s + 15, -d = -3*s - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssdvsvdsvfdods. Give prob of picking 3 d and 1 f.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - (-4 + 7)*4\/12. What are the prime factors of 532 - 7*(-9)\/j?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 3*q + 11. Let x be k(8). Let h = -25 - x. Differentiate -14 + f**4 + 3 - 3*f**h with respect to f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 g when three letters picked without replacement from vovvvgvzvzovorvvgvrr?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 641059, 1282082, 1923103, 2564122, 3205139, 3846154, 4487167?\n\"Answer: -z**2 + 641026*z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 1. Let v be (-2)\/8 + (-17)\/(-4). Let k be 2 + (2 - (v + -2)). Let n be f(k). Solve -n*z + 11 = -4*y, y - 2 = 2*z - 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 9, g - 5 = -s + 2. Suppose -5*m = g*f - 104, 5*f - 7 = 2*m - 42. Calculate the remainder when 31 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b + 2. Let z(l) = 13*l - 251. Determine -4*p(k) + z(k).\nAnswer: k - 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884801?\nAnswer: 811, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -719 or 0.0447?\nAnswer: -719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-3)\/78 + (-24)\/1170. Let n be 2*((-8)\/44 + (-135)\/(-440)). Let f = -3.2 - 0.8. What is the second smallest value in n, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11624 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-4) + ((-296)\/32 - -10). Suppose q + 11199 = z, 6*z - 9*z = -o*q - 33601. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136860622 - 51104078 = 88*z - 9*z. What is z rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 64 + w - 2*w + w. What is the remainder when s(0) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1019 + 1019.1. Let p = 13 + -18. What is the closest to f in -3, 5, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49060934 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 10:27 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(98) + sqrt(98) + sqrt(98) + -1 + 1)*-4 - (1 + 0 + sqrt(98) + ((sqrt(98) + sqrt(98)*-1 - sqrt(98)) + -1 + sqrt(98) - sqrt(98))))**2.\nAnswer: 168*sqrt(2) + 14113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 437 + -435. Put x, 0.2, -3, 0.3 in decreasing order.\nAnswer: x, 0.3, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by (-18)\/(-5) + (-3)\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.9999997 - -5. Let u = h - 0. What is u rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 4*u**2 - 4*u + 2. Suppose 73888*l - 73892*l = -8. Determine c(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -36, -32, -18, 18, 88, 204, 378, 622?\n\"Answer: 2*i**3 - 7*i**2 + 11*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 4, -21, 8, 3 in descending order.\nAnswer: 104, 8, 4, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efs when three letters picked without replacement from {f: 5, s: 1, e: 1, a: 2, g: 6}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-10)\/(-8 + 1148)*-8.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 1445*x**4\/12 + x**3\/6 + x**2\/2 - 40*x - 1. Is l(1) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21\/11 (b) 0.23 (c) 2\/329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 129, 411, 961, 1869, 3225?\nAnswer: 5119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 - 13.06. Let f = i - -12.98. Let s = -113 - -111. Is f less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39174246*g**6 - 5609972*g**2 wrt g.\nAnswer: -4700909520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwefwwwffff. Give prob of sequence wfw.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*m**3 - 48*m**3 + 155*m**3 - 56*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -3836 - 1546. List the prime factors of c.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 16. Let l be q(12). Solve m - 3*m + l = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i + 163 = 65*i - 155. Solve -4*c + 7 = 3*y, -i*c + 30 = -5*y + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93212 + 1402 = -10*p. Suppose -4*m = u - 5187, 3*u + 4*m - 6420 = p. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**4\/30 + 4*a**3\/15 + 3*a**2\/5 + a. Factor b(r).\nAnswer: 2*(r + 1)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1208 + 1266. Calculate the remainder when 131 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37356528, 37356526, 37356524, 37356522, 37356520, 37356518?\nAnswer: 37356516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29.982 - -30. What is f rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.28 + -1.3. Let p = b + 0.12. Let t = 95 - 95. Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -6 + 6 - 1\/1. Sort -4, p, 1, 3 in increasing order.\nAnswer: -4, 1, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 8:46 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -298402, -596762, -895118, -1193476, -1491842, -1790222, -2088622, -2387048?\nAnswer: -2685506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/4 and -28\/95.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(sqrt(77) + (sqrt(77) - (sqrt(77)*-1 - sqrt(77)))*6))\/(-1*sqrt(99)*5*-6).\nAnswer: -38*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -174\nAnswer: -34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h + 0*h)*(3 + 1 + 0)*(6 - 11 - 11).\nAnswer: 128*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*o = 78, -5*m + 4*o - 117 = -0*o. Let f = m - -25. Solve f = 5*g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-129) - 25913512\/(-4826406). Factor -a*k**2 - 98\/13*k + 2*k**3 + 0 - 2\/13*k**4.\nAnswer: -2*k*(k - 7)**2*(k + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -2\/5*h**5 - 2*h**4 - 8\/3*h**3 + 50 + 0*h**2 + 0*h. Factor r(w).\nAnswer: -2*w**2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + (-1 + sqrt(343) + -2 - (-1 + sqrt(112) + -2))))**2.\nAnswer: 480*sqrt(7) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179254805\/7 or -25607828?\nAnswer: -179254805\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262166 is divided by 1191.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 92*u + 331. What is the remainder when 541 is divided by m(-43)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 55 - 32\/9*u - 16\/9*u**4 - 112\/27*u**3 - 16\/3*u**2 - 1\/27*u**6 - 2\/5*u**5. What is k in n(k) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -85*p - 6. Let i be s(2). Let k = 120 + i. Let z = k - -93. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppypppppyppp. What is prob of picking 3 p and 1 y?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 - -0.22532804?\nAnswer: 1.02532804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -536356, -536682, -537008, -537334, -537660?\n\"Answer: -326*f - 536030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(4 + 2*sqrt(425))*-4.\nAnswer: -160*sqrt(17) - 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 268 and 1675.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**7\/84 - 7*k**6\/180 - 5*k**3\/3 - 8. Let i(x) be the third derivative of w(x). What is the third derivative of i(n) wrt n?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 11269260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -468844, -6.\nAnswer: -468844, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6 - 8*j - 1 - 2*j + 9*j. Let t be (5\/(-2))\/(1\/(-2)). Let y(l) = -2. What is t*y(b) + 2*h(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, k: 7, r: 7}. What is prob of picking 2 w?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 58001895.39 rounded to the nearest 100000?\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3783146 (base 10) to base 7.\nAnswer: -44104403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9066918 divided by -6?\nAnswer: -1511153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -33. Suppose -h = g - 4. Which is the second biggest value? (a) -3 (b) -3\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37c6 + 2?\nAnswer: -37c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 2*q + 22. Let b(r) = -7*r - 36. Let h be b(-7). Let p = h + q. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1107, -2209, -3301, -4377, -5431?\n\"Answer: h**3 - h**2 - 1106*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-24)\/(-20))\/(1 + 9\/(-10)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216*-226.5\nAnswer: -48924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.444 and -122085694441?\nAnswer: 122085694440.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 + -8 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w**3 + 6*w**3 - 39*w**3.\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312 = -61*m - 86 + 32 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 6*h + 13. Calculate k(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14169745 and 1.52.\nAnswer: -14169743.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**4 + r**3 + r**2 + 1. Let b be (2 + 2*-2)\/(-2). Let u(m) = 5*m**4 - 2*m**3 - 2*m**2. Let g(j) = b*u(j) + 2*w(j). Differentiate g(a) wrt a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*d + 15, -24 = -5*a - 3*d + 3. Suppose -3*l + a = -9. Solve 3 = u + v + 4, -l*u + 5*v = -35 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z. Suppose 0 = -2*u + 10 - 0. Let b(n) = 11*n + 1. Let q(m) = u*f(m) + 2*b(m). What is the derivative of q(y) wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72581507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5760 is divided by 2859.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**3 - m**2 + 3*m + 1. Calculate the least common multiple of 33 and r(-2).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -3\/4 (c) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**7\/120 + d**6\/120 + d**4\/6 + d. Let w(j) be the third derivative of x(j). Factor w(f).\nAnswer: -3*f*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100\/59 - 618\/295. Which is the nearest to 0? (a) -1 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12997, 13050, 13141, 13270, 13437, 13642, 13885?\nAnswer: 14166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z. Let m(t) = 23*t**2 - 32706*t - 2. What is m(h(w))?\nAnswer: 92*w**2 + 65412*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbuuuu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32626 is divided by 16181?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2558 and -5184.\nAnswer: -1326.0672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/175 and (((-108438)\/5500)\/(-53))\/((-24)\/(-10)).\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126103 and 219777618.\nAnswer: 6637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 1. Suppose -m = -6*m. Let z be k(m). Solve z = -y + 6, -3*t = 2*y - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3689037083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - g - 11*g to o*g + r and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3062*i**5 + 3*i**4 + 2*i**3 + 76*i**2 + 2*i - 1544 wrt i?\nAnswer: 183720*i**2 + 72*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d**3 - d**2 + 4*d + 4. Let u be o(-1). Let t be (7 - 4 - 18\/4)*u. Calculate the highest common divisor of t and 768.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, 1\/22, -1\/10, 4 in decreasing order.\nAnswer: 4, 0.1, 1\/22, -1\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-14) - (-130)\/(-70). Let z(x) = 2*x + 3. What is z(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -14*x**2. Suppose -2*q = -3*q + 37. Let d(k) = q*k - 37*k + 2*k**2. Calculate n(d(r)).\nAnswer: -56*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cccccclclclcccc.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (0 + 1)*-1. Find the third derivative of p**2 - y*p**2 - 4*p**5 + 3*p**5 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 15 + 3. Let a be y*36\/(-30)*(-20)\/(-18). Let d = 17 + a. Calculate the highest common factor of 143 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37038697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 + -110.00000383. What is x rounded to seven dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 6*m - 2. Let o(r) = -3*r**2 + 17*r - 5. Let c = 3090 + -3093. Give c*o(l) + 8*w(l).\nAnswer: l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u**2 + 3*u**2 + 2*u**2)*(-u + 3*u - u)*(3*u + 0*u - u).\nAnswer: 28*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/6)\/(-5))\/(2\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 95323*t**2 - 2271094215*t - 24993571779.\nAnswer: -(t - 47667)**2*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 3*o - 1. Let a(g) = 7*g**2 - 24*g + 3. Give -a(y) - 5*v(y).\nAnswer: -2*y**2 + 39*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-10)\/(-5))\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 + 2*x**5 - 4*x**5 + x**5 + x**4 - x**4 + (0*x - 3*x + 4*x)*(-5*x**4 + 2*x**4 + 4*x**4) - 49*x**2 + 49*x**2 + 31*x**5 - 5*x**5 - 11*x**4 + 11*x**4.\nAnswer: 27*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 18 + 6. Suppose 36 = 5*l - 4*p, -l + 4*p = -w*l + 4. Suppose -l*f - 1 + 5 = 0. Solve -x = -5*a - 23, 0 = -0*a + 4*a + 5*x + f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4 - 98408*q**3 + 98416*q**2 + 98408*q - 98412 = 0.\nAnswer: -24603, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*o + 14, 4*m + o - 9 - 1 = 0. What is the second derivative of -13*y**3 - 49*y + 15*y**m - 16*y**3 wrt y?\nAnswer: -84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i. Suppose 0 = -4*j - i*j + 12. Let d be 15\/(-3) - -3 - j. Which is smaller: d or -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566*a = 101*a + 4022 + 2488 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t = 3*t - 182028. What are the prime factors of t?\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3736 rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 4. Suppose g = -g + 12. Let v be x(g). Let c be v*(-2 + 27\/6). Round c to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7632 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 + (441002\/184)\/(-1 - 5\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495243 is divided by 26064?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 14*c - 68. Let v be m(5). Let j be (6 + 0)\/((-16)\/(-96)). Let a = j - 32. Solve -4*o - a*b - v = 14, 0 = 4*b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 26 = -5*k. Let i(g) = -g**2 + 12*g + 9. Let p be i(12). Let s = 2 + p. What is the smallest common multiple of s and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) 0.4 (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -4*o - 15 - 5, -2*k = -2*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24\/7 + -55\/14. Let q = -1\/4 - m. Is -21 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*0\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(208) + (sqrt(208)*2*-6)**2)*-2*-2 + -4).\nAnswer: -599020 - 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -650 + 649.9999999. Round w to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)*o**(-4\/5))\/(o\/o**2*o**(5\/2)) assuming o is positive.\nAnswer: o**(-141\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 49\/48805?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 1, z: 1, c: 2, e: 1, d: 1}. Give prob of picking 1 b and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 + 190. Suppose 0*z + 1034 = 14*z + 8*z. Let n = c - z. Calculate the remainder when n is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847 + 190 + 228 = -39*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 5. Suppose x - 1 + 0 = t. Let l be (x - -2)\/((-9)\/(-6)). Calculate the greatest common divisor of 5 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*l + 29*l - 14. Let h(w) = -1 + 0 + 78*w**2 - 147*w**2 + w**3 + 70*w**l. Determine h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*g - 16*g + 3*g**2)*(-1 + 0 + 0)*(-2*g + 2*g - g) to i*g**3 + s + q*g + d*g**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136.201 - -0.201. Let s = 1539.86272 + -1675.862641. Let g = a - s. What is g rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -14 + 10 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5977.3 and 1?\nAnswer: -5977.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91 + 2*t + 91 + (-1 + 1 - 4)*(-3*t + 3*t - 2*t).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(1\/7))*m*m)\/(m\/m**7))**(-7) assuming m is positive.\nAnswer: m**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*i - 34 = -3*i, -3*i = -5*x + 146. Let b = 30 - x. Solve 0*r**3 + b*r**2 + 4*r**3 - 2*r**2 - 4*r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/16826 and 25\/1969?\nAnswer: 185086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -70 (c) -2 (d) -1\/3 (e) -0.2 (f) -2\/13 (g) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4 + 2)*-5. Suppose r*d - 38 - 108 = 3*a, 0 = 4*a + 8. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 675, 2371, 5087, 8823, 13579, 19355?\n\"Answer: 510*h**2 + 166*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1361 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -715 + 1136. Let w(x) = 4*x**2 - c*x - 3*x**2 + 421*x. Let r(y) = y. Calculate w(r(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 84 = 26*r. Let j(c) be the third derivative of 0*c + 0*c**r + 0 - 11\/24*c**4 + 1\/15*c**5 + 8*c**2. Find the second derivative of j(a) wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/(-2)*2\/22 and 81\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -657 divided by 438?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256844 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 485\/(-582)*(-7056)\/1820.\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(-6840 + 2277 + 2281 + 2282 + 8296*m) as n + o*m and give o.\nAnswer: -16592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x - x - 91698 = 0. 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 next in 5928084, 11856130, 17784164, 23712180, 29640172, 35568134?\nAnswer: 41496060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, f: 1, j: 7}. Give prob of picking 1 j and 1 m.\nAnswer: 70\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/741 (b) -8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h**2 - 4*h - 1. Let r be s(5). Suppose 0 = 6*l - r + 25. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -4 (c) -2\/3 (d) -1120.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7742849ns to seconds.\nAnswer: 0.0000000007742849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12642, -18210, -101954, -265038, -533910, -935018, -1494810?\nAnswer: -2239734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 279*q - 171. Let b(j) = -140*j + 91. Calculate 13*b(o) + 7*p(o).\nAnswer: 133*o - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(3\/(-18)*4). Let c be -2 - (-1 - -2) - 2. Let f = 11 + c. Solve -2*x + f*x + n*a = -3, -5*a + 21 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 20*y - 4 = 0. Let v be 1255\/((y - 2) + -1). Let t = -645 - v. Round t to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.048893 rounded to three decimal places?\nAnswer: -1.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/277888 and -43\/307280.\nAnswer: 31957120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2 - 5 = 0. Let g(a) = -4*a**2 - a - 1. Let n(s) = -18*s**3 - 22*s**2 - 5*s - 8. Let l(b) = -6*g(b) + n(b). Calculate l(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*t**2 + 279*t**2 - 101*t**2 - 145*t**3 + 20*t**3 - 89*t**2.\nAnswer: -125*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368, -738, -1126, -1532, -1956, -2398, -2858?\nAnswer: -3336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*f**5 - 135*f wrt f?\nAnswer: -280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4095997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 - 28. Suppose d - x = -4*p, 5*d - 42 = 2*p - 6*p. Suppose -p*c + 5 = -7*c. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 551, 1100, 1649, 2198?\n\"Answer: 549*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*h + 157*h + 43483 = -471*h - 213*h for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -10\/27*u**3 - 4\/27*u**6 + 1\/9*u**2 + 71 + 2\/9*u**5 + 0*u + 1\/6*u**4. Determine g, given that y(g) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 14 + 0 + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u + 1115 + 1225 = 0. Let v = -74 - u. Solve -v*b = -5 + 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 + -871236?\nAnswer: -87126c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*p**3 + 8*p**2 + 748*p.\nAnswer: -234*p + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 5*y**4 + 0*y)*(-259 - 255 + 509 - 423*y).\nAnswer: 2115*y**5 + 25*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -d5bc6b (base 14) in base 8?\nAnswer: -33416447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23877 and 2842.\nAnswer: 26719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36, -38, -20, 12, 52?\n\"Answer: -n**3 + 16*n**2 - 43*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b. Let m be (((-10)\/(-90))\/((-2)\/(-12)))\/16. Let z(v) be the third derivative of 0*v + m*v**4 + 0*v**3 - 2*v**2 + 0. Give i(z(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 - -66. Sort -3, -5, p.\nAnswer: p, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(1*2\/(-730)). Suppose 0 = -3*v + 4*r + 1769, -2*v = 2*v - 4*r - 2360. Let d = v - c. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2320*y + 2319*y + 2, 5*p - 163 = 2*p - 0*p - 5*y for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93113955.\nAnswer: 3, 5, 11, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5557164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a - 8*a + 6*a)*((-2 + 4 + 0)*(-3*a - a + 3*a) + a + 13*a + 13*a)*(-5*a**3 + 2*a**3 + 4*a**3).\nAnswer: -200*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.213 - -1.183. Let f = 0.48 - j. Round f to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 30. Let a = 33.4 + k. What is the closest to 1 in 1\/3, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**3 + g**2\/2 + 4*g - 1. Suppose 5*l + 22 - 2 = 5*k, -5*l = -5. Let j(f) = f**2 + 2. Calculate k*j(a) - 2*p(a).\nAnswer: -a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177345 is divided by 17734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(190)*4 + sqrt(190) + (sqrt(190) + sqrt(190)*2)*6 + sqrt(190))\/(sqrt(50)\/(sqrt(245) + (sqrt(245) + 1*sqrt(245) - sqrt(245)) - sqrt(245))).\nAnswer: 112*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724201.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - h - 245. Let k = 109 - h. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/180*12)\/(1\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 <= -18435\/1399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -803 = 24*j - 4331. Suppose 5*k + j = z, 5*k - 27 - 160 = -z. What is the remainder when z is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17700.8 kilograms?\nAnswer: 17700800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6295504337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -563.16 + 563.1. What is the closest to q in 0.5, 2, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**6\/120 + a**5\/60 - a**4\/24 + a**3\/6 + 196*a**2. Let j(n) = -12*n**3 + 6*n**2 - 6*n + 4. Give -j(m) + 6*s(m).\nAnswer: 6*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3717 divide 87715393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -6. Let h = -993 + 985. Sort 4, h, s in decreasing order.\nAnswer: 4, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/32 and 13\/1916?\nAnswer: 15328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18294965 to the power of 1\/3, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/9 and -143\/3282?\nAnswer: 9846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*sqrt(68)*3 + (sqrt(68) + (sqrt(68) - (sqrt(68) - (-2*sqrt(68) + sqrt(68)))) + sqrt(68))*3)\/(sqrt(36)*-2 + -6*sqrt(64)))**2.\nAnswer: -33\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 6 = -c - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(2*279\/12)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p*p\/(p*p**(2\/3)*p)*p)*p*p)**(-9\/8)*p**4\/(p*p**(1\/9)*p*p) assuming p is positive.\nAnswer: p**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -309167 (base 11) in base 15?\nAnswer: -9bb6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 6*i. Let d(b) = -b**3 + 8*b**2 - 5*b + 2. Let q be d(7). Let a = q - -3. What is the remainder when k(-7) is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4ae - 6f?\nAnswer: 43f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 12:50 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00085065 rounded to six dps?\nAnswer: 0.000851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 7*b - 13. Determine k(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1076)\/3497)\/((-20)\/52)*-65.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 503*s**3 - 1430 wrt s?\nAnswer: 1509*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4*j*j*j\/(j\/j**(-5\/6))*j)**(-40))**(-27) assuming j is positive.\nAnswer: j**6660","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*t**5\/5 - 36*t**4\/5 - 21*t**3\/5 - 2*t**2\/5.\nAnswer: -t**2*(t + 1)**2*(17*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*p, d - 6 = 7*p - 12*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16162 (base 10) to base 7.\nAnswer: 65056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 2. List the prime factors of 1\/5 - (-2844)\/w.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 199848323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 780780382 to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a**2 + 6. Let p(k) = 2*k**2 - 2. Let o(q) = i(q) + 3*p(q). Let s(g) = 3*g + 3. Determine s(o(x)).\nAnswer: -9*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14795 plus 14?\nAnswer: 14809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (sqrt(110)\/sqrt(10)*-2)**2) + ((sqrt(110) - -2*sqrt(110))\/sqrt(2))\/(-3*sqrt(5)*1).\nAnswer: -47 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*l + 7725 + 4177, -5*u + l = -11893. Which is bigger: 2379 or u?\nAnswer: 2379","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3. Let k be q(-1). Find the third derivative of 355*o**3 - 6*o**k - 4*o**2 - 351*o**3 wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/5740 and -65\/14?\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112*l**2*r + 5*l**2*t - 2324*l*r + 11*r*t - 1081*r + 3*t + 4 wrt l.\nAnswer: 224*l*r + 10*l*t - 2324*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 650.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 2, 1, 5, -1, 140 in decreasing order.\nAnswer: 140, 5, 2, 1, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*((l\/((((l\/(l\/((l**3*l)\/l)))\/l)\/l)\/l))\/l)\/l*(l*l**7)\/l*l*(l*l\/((l*(l**(-1)\/l)\/l)\/l))**4 assuming l is positive.\nAnswer: l**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*g - 3*a, -2*a + 8 = g + 2*g. Suppose 5*m + 54 = 99. Suppose m*r = 7*r + g. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130 + -46. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 + 1) - -3) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631065 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 10. Let t(z) be the first derivative of z**2\/2 + 14*z - 4. Let k be t(d). What is the greatest common factor of k and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z + 3. Let m be o(3). Let r = m + 0. Is (-542)\/(-6) + (-2)\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t = -16*t - 2*s + 30, 49*s = 5*t + 30 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2 + 1) - -2. Let g(b) be the third derivative of -b**4\/12 + 7*b**3\/6 - 3*b**2. Let u(n) = -n + 6. Let v(i) = -6*g(i) + 7*u(i). Calculate v(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = q - 1, 4*q = k - 0*k - 1. Let g = 79.29 - 83.29. What is the nearest to q in -0.4, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40b - 5?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -14052430\/71 and -197923 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*a**2 - 23*a**2 + 79*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2) + (-9)\/(-5). Let x = 0.7 + -0.7. Let o = 4 + x. What is the second smallest value in t, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 3*i + 2*v + 109, -i = -5*v - 27 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - 83. Let h = -111 - o. Solve -h*q + 29 = 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -19 (b) -1\/2 (c) -112 (d) -1\/4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115 + 115 - 33*y)*(0 + 4 - 5).\nAnswer: 33*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -74*y + 773. Let i be o(9). Which is the second smallest value? (a) 2\/5 (b) i (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5319436 and 1197106?\nAnswer: 4658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**3 + 21*q**2 + 1182*q + 4200 = 0?\nAnswer: -14, -4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 252724\/5 - 50540. Let -4 + p*r - 4\/5*r**2 = 0. Calculate r.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7294*b**2*k**2 - 9*b**2*k - b**2 + 14*b*k + 6*k wrt k.\nAnswer: -14588*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4135457, 4135463, 4135473, 4135487?\nAnswer: 4135505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {a: 13, s: 3}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137545788.19999883 + -137545790. Let y = -1.8 - g. Round y to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*d + 39352, 3*d + 5 = -2*d. Let h = 20326 + p. Let g be h\/(-4) + 1 + 1. Round g to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300 divided by 6.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 42 + -35 + -74?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38, 39, 16, -43, -150, -317?\n\"Answer: -2*o**3 + 15*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384 + i**2 - 384.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3174870 is divided by 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 1. Let p = 130 + -133. Suppose -5*x - 105 = -0*x. Let o(a) = 6*a - 7. What is p*o(t) + x*q(t)?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*p*v**3 - 53*m*p*v**3 + 23*m*v - 74*p*v**3 + 27*p with respect to m.\nAnswer: 4*m*p*v**3 - 53*p*v**3 + 23*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/84 and 3\/18 - 104\/8.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 2*q**3 + 3*q**3 - 3*q**2 - q. Let b be h(2). Let z be (-1 - -33)\/(b\/175). What is z rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 11*r**2 - 10*r + 22. Let p be s(8). Suppose 4*t = -4*h + 820, 76 + p = t - 4*h. List the prime factors of t.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35479\/55 + -645. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57854 = 57860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjiijjjj?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + 1 - 1 + (2*k**2 - 3*k**2 + 4*k**2)*(1381 - 1381 - 46*k).\nAnswer: -139*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146*s**4 + 101179*s**3 - 99719326*s**2 + 2*s - 2 wrt s.\nAnswer: -3504*s + 607074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 2499?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 19964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -45, -136, -295, -540, -889?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/b**(-2\/51))*(b\/(b\/(b\/b**24)))\/b assuming b is positive.\nAnswer: b**(-1226\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12855283*x**5 + 15626739*x?\nAnswer: 257105660*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 f when four letters picked without replacement from {a: 7, x: 5, b: 4, f: 3}?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182418737 to the nearest integer?\nAnswer: 13506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1424364*u = 1424336*u - 392 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 80*p**3 + 1 - 1.\nAnswer: -80*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 2\/7 (c) 501 (d) -1\/10 (e) 134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 4*v**2 + 3*v - 3. What is the lowest common multiple of 56 and a(4)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.089 - -35.911. Let y = 45 - t. Which is smaller: 4 or y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -289 + 301. Let u = -0.1369 + 2.1369. What is the smallest value in u, -1.8, t, -0.2?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 10, -24, 2, -963.\nAnswer: -963, -24, 2, 10, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((1*sqrt(20) - sqrt(20))\/sqrt(4)*-2 - (sqrt(2000)*1)\/sqrt(4)))**2.\nAnswer: 12500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2315 - -4?\nAnswer: 2319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 + 0.9. Let y = 19 + -31. Let s = y - -13. What is the nearest to s in q, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/122? (a) -1\/718 (b) -3 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1656\/(-8370) - 4\/(-62)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 438?\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7)*-1) + sqrt(50)*-2 - 5*(sqrt(6)\/sqrt(3))**2*-3.\nAnswer: -11*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, u: 3, r: 1, i: 6, o: 1, t: 2}. Give prob of sequence trj.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 22*x**3 - 26*x**3 - 9*x)*(1 - 1 + 1)*(173 + 184 - 539) in the form y + u*x**3 + v*x**2 + d*x and give u.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -37283051898 minus 133.2?\nAnswer: -37283052031.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-13 - -1) + -3 + (8 - -11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -829 divided by 430?\nAnswer: -829\/430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -224.\nAnswer: 6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 48 = w. What is the remainder when w is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 334644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 2*g**3\/33 + 59*g**2\/11 + 636*g\/11 + 8816. Let a(b) = 0. What is b?\nAnswer: -53, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -243759, -487649, -731539, -975429, -1219319, -1463209?\n\"Answer: -243890*g + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 67.1 * -1.2\nAnswer: -80.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (5 - (1 - -2)) - (21 - 14).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284540 is divided by 25867.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2 + 1 + 6 + 1 + 2*t - 15. Let s(c) = 2*c - 4. Suppose 0 = 2*f - 3*f + 2. Suppose -4 - f = -3*u. Calculate u*r(v) - 3*s(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25\/18 - -97\/72. Sort h, -5, 2 in descending order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-22) + 42540\/44 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 14. Is 7 a factor of (p - 1)*(0 - 21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -24933*a - 249299. Calculate b(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k + 4. What is the smallest common multiple of 14 and z(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28487 + 28491. Solve -3*b = -4*x + 2, x + c*x = 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.1, 0.17.\nAnswer: -6, -0.1, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090251283.\nAnswer: 11, 43, 487, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5238 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(4\/5)*p**(1\/3)\/p)\/((p\/((p\/p**(1\/4))\/p*p))\/(p*p\/(p\/(p**(2\/21)\/p*p*p)))) assuming p is positive.\nAnswer: p**(417\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -53. Let k(y) = -5*y - 1 + 3 + j*y + 5*y. Suppose -c - 3*u - 14 = 0, 0*c - 4 = -4*c + 3*u. Give k(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, l: 9, q: 1, u: 1}. Give prob of picking 2 e.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5369734375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 2*q**3 + 3 + 0*q**3.\nAnswer: q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15659032 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 9:32 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/26 in 1, -1\/418, 0.05, 0.1, 0.02?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*b - 169 = 353 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, u: 6, y: 1, l: 1, k: 3}. What is prob of picking 1 u and 1 y?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 - s - 2. Let v be b(-1). Solve 0 = v*i + i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-28) + 565\/7. Let y be l\/1 + 13 + -17. What is the greatest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6227\/3, -38, 3.2 in decreasing order.\nAnswer: 6227\/3, 3.2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 14*l - 30. Give f(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82.17012 + 1.6588.\nAnswer: 83.82892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 80. Let l = z + -33. Solve m - l*m = 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6 - 6. Let r(j) = 4*j - 6. Let g be r(u). Let s be 1\/(-3)*g\/(-2). Solve -4*w - 1 + 9 = 0, s*w = -h + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 2811408?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 505634*a**3*f*k + 27*a**3*k - a**2*f*k - a**2*f - 64*a**2*k + 37*a + 4*k wrt a.\nAnswer: 3033804*f*k + 162*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 31 + 1 - (30 + -15 - -6 - 23)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 2, p: 1}. Give prob of sequence pow.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 215? (a) 2 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**6\/60 - 3*v**5\/8 - 13*v**4\/6 - 3*v**3 - 8*v - 1. Let a(x) = 0. Calculate x.\nAnswer: -2, -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 l when three letters picked without replacement from ulzzlulzzul.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1 + 1 + sqrt(1584))**2 - sqrt(1584)).\nAnswer: 36*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + f**2 + 0*f**2 - f**2 + 4*f**2 - f**2 + (0*f + 0*f - 2*f)*(-f - 3*f + 2*f) - f**2 - 4*f**2 + 3*f**2 + 0 + f**2 + 0)*(1 - 2 - 2).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2446044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4543\/826*2\/11. Solve 0 = 37*y - 38*y - o + z, -14 = y - 4*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -1?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**0)**15)**(-2) assuming q is positive.\nAnswer: q**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l = -20. Let y = -7.13 - -2.13. Which is the smallest value? (a) y (b) 5 (c) 0.3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 5:08 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 31*p**3\/3 - 60*p - 65. Differentiate w(s) with respect to s.\nAnswer: 62*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/4 + 11*t**4\/2 - 843*t**3\/4 - 16*t**2 + 641*t - 420 = 0 for t.\nAnswer: -42, -2, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(10\/11)\/(w\/(w*w**(-17)\/w))*w**(-17)*w**(-6\/11) assuming w is positive.\nAnswer: w**(-381\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5607892, -5607894, -5607896, -5607898, -5607900, -5607902?\n\"Answer: -2*w - 5607890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -0.2, 1, 472, 3, -2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i + 1 = 0. Solve -5*r + 5*a = -20, 5*r - i - 3 = a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - 151. Let i = l - -73. Which is the closest to -1\/2? (a) -0.5 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19885525823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007142079 rounded to five dps?\nAnswer: 0.00714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-136)\/6 - -2)*(-17 - -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 - -0.05. Let f = n - 0.24. Let t be (60\/(-10) - -6)\/(-1 - 1). Which is the closest to f? (a) t (b) -1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 931 and 76?\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3457661460 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 55. What are the prime factors of ((-18)\/(-5)*-8)\/(z\/(-30))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**3 - 5*q**3 - 45*q**2 - 7*q**3.\nAnswer: -27*q**3 - 45*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2 - 2)*(-60597*x - 64683*x + 130129*x - 2) + x**2 + 2*x**2 - 4*x**2.\nAnswer: -9699*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + p - 3*p + (12 - 1 - 7)*(0 + 2*p + 0) - 4*p + 4*p - 3*p to v + z*p and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, x: 4}. Give prob of sequence dxd.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 5. What is the greatest common factor of q and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a - 4. Suppose -2*f = -i + 5, -4*i + 2*f - 3 = 1. Let b be i\/9*(0 - -9). Calculate j(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 15. Let r be (q\/(-16))\/(3\/(-6)). Let c(s) = 21*s - 1. What is c(r)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - 0.83. Let b = 298.4 + -298. What is the nearest to q in 1\/6, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqa when three letters picked without replacement from {p: 1, h: 2, t: 1, c: 2, q: 5, a: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fol. What is prob of sequence ol?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -7*z**6\/18 + 47*z**5\/15 + 77*z**4\/12 - 31*z**3\/9 - 35*z**2\/3 - 16*z\/3 - 94. What is g in w(g) = 0?\nAnswer: -1, -2\/7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 19*d**2 + 5*d + 4. Let k be a(18). Let c = -202 + k. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1483 divided by 289.\nAnswer: 1483\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 - 14878*c\/7 + 163900\/7.\nAnswer: -2*(c - 11)*(c + 7450)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4110.\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1744.6 + -1745. Which is the closest to -19? (a) 5 (b) l (c) -5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24935 is divided by 5990.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*sqrt(65)*3)\/((sqrt(40) + sqrt(80)\/sqrt(2)*-4)\/sqrt(8)).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0678314 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*-3.91\nAnswer: 3.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - 5. Let x = m + -4. List the prime factors of 103\/5 + (-6)\/x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331 (base 7) to base 6.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557*z - 546*z = 6831. What is the highest common factor of z and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 4*l**2 + 6*l - 3. Let i be p(6). Let y be (-2)\/7 - (-23)\/i. Let c = y + 22\/105. Put 1, 3\/5, c in descending order.\nAnswer: 1, 3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128670 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**4\/4 - 543*k**3\/4 + 857*k**2\/4 - 105*k\/4 - 107\/2 = 0 for k.\nAnswer: -2\/5, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 2*q - 3*q)*(-1 + 2 + 0)*((14 + 9 - 7)*(1 + 0 + 5) - 7 + 6 + 0).\nAnswer: 95*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 27*c**2 + 122*c - 56. Calculate p(-21).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 12 = -2*x, -8*n + 7*n = 0. Let h be (4\/(-5))\/((-3)\/(-5)*x). Factor -4\/9*o + 4\/9*o**3 - 2\/9*o**4 + 0 + h*o**2.\nAnswer: -2*o*(o - 2)*(o - 1)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - j + 1. Suppose 4*a = 5*k + 34, 2*a - 2*k - 8 = -4*k. Calculate the remainder when a is divided by b(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15131*d**2*r - 2*d**2 - 7*d*r + 244799*r wrt d.\nAnswer: 30262*d*r - 4*d - 7*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/24 and 27\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + 112\/(-24))\/(2\/15). Let p(f) = -12*f. Let m(y) = -3*y. What is b*p(o) + 21*m(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 times 2276.996?\nAnswer: -97910.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 209233 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 1, r: 3, h: 5, i: 3, a: 1}. Give prob of picking 1 a and 1 v.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6696205*m**5 - 25943577*m?\nAnswer: 133924100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/(i\/(i**10*i*i))*i))*i**(1\/3)*i**(-7)\/(i\/(((i*i**(-10))\/i)\/i)))**(2\/139))**(4\/11) assuming i is positive.\nAnswer: i**(-136\/4587)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624 - 140 - 189 - 158 - 137 - 12*j**2.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*m = -136*m - 2529475. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 9 + 32)*(-249 + 249 + 4*b**2) as m*b + u*b**2 + i and give u.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/8)\/(15\/40). Find the first derivative of 65*z**2 - 101 + 51*z**s - 35*z**2 wrt z.\nAnswer: 162*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5*g + 25, -2*d + 4 - 22 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 40 = -5*z, z - 36 = -n - 2*n. Solve -n*g + 188 = 228 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - k - k + 0. Let t(p) = -5*p**2 + 42*p. Let j(w) = 4*w**2 - 48*w. Let v(z) = 7*j(z) + 8*t(z). Determine a(v(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 22968*a**2. Let y(w) = -6539*w. Determine c(y(l)).\nAnswer: 982077710328*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10*c**3 - 24*c**2 + 259*c - 176. Is i(15) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhqss. What is prob of sequence qqh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21958\/7 + -3131. Calculate the common denominator of -37\/81 and j.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*c**5\/5 + 710727*c**4\/5 - 888381*c**3\/5 - 533049*c**2\/5 + 888393*c\/5 - 177678\/5 = 0. Calculate c.\nAnswer: -1, 1\/4, 1, 59226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10212551 - -2?\nAnswer: -10212545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 5*i**2\/2 - i + 1. Let k(t) = -4*t + 7. Let a(m) = m. Let r(h) = 5*a(h) + k(h). Let z be r(-6). Calculate q(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 - 57. Solve 6*f = f - 2*g, -3*f = -5*g - l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 82365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9. Let r(q) = 5*q + 12. Let w(p) = -2*h(p) - r(p). Let o(a) = -9*a + 11. Suppose -6 - 1 = t. Give t*w(j) + 4*o(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12077554 or 12077553?\nAnswer: 12077553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7\/10340126?\nAnswer: 7\/10340126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/(-6))\/(-1))\/((-44)\/(-198))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -2)\/(77\/(-15) - -5). Suppose a*n + 6020 = 25*n. What are the prime factors of n?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 12*d + 7 = 0. Suppose 2*n - 5 = d. Solve 3*f + 3 = -n, -3*f - 1 = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/7 - 9*i**2\/7 - 6*i\/7.\nAnswer: -3*i*(i + 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110290 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 312?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 0*o - 5 - 1\/2*o**2. Let m(t) = 13*t. Determine d(m(b)).\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/147291 and 59\/1533858?\nAnswer: 44481882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-90))\/(7*22\/(-385)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021 is divided by 159?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13663143.\nAnswer: 3, 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9765 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*0\/(3\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 + 31793?\nAnswer: 31540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 14 + 9 + h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3 - 339*g**2 - 407643*g + 407979 = 0. Calculate g.\nAnswer: -317, 1, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*j + 56082 + 17*j**2 + j**3 - 56082 to the form z*j + h*j**3 + u + n*j**2 and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 235, 470, 707, 946, 1187?\n\"Answer: w**2 + 232*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - 3*o**3 + o**3 - 568 + 568 - 481*o**3 + 2*o - 2*o + 2*o**3 + 5*o - 5*o - o**3 + 5*o**3 - 2*o**3 - o**3 + (-4*o + 4*o + o**2)*(3*o + 0*o - o).\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*v - 12, v = s - 2*v + 13. Let p(h) = -2*h. Let b be p(2). Let a = s + b. What is the second smallest value in 2\/5, a, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*g + 561 = -22, 5*v - g - 584 = 0. What is the highest common factor of 27 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153 + 158. Suppose -12*g + z*g + 21 = 0. Let r(w) = 6*w**3 - 5*w - 5. Let u(d) = -3*d**3 + 3*d + 3. Suppose -v + 1 = -4. Determine g*r(k) + v*u(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 38. Which is the second smallest value? (a) -2\/3 (b) z (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8457, -8455, -8453, -8451?\nAnswer: -8449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000246337 to 6 dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30712 = -876*h + 6080 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 34. Let y be i*(2 - 7\/2). Let c = y - -70. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.046 - -18585701188817.\nAnswer: 18585701188817.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 33*p - 73. Let j(d) = 50*d - 114. Let z(l) = 8*h(l) - 5*j(l). Let g(a) = 3*a**2. Give z(g(q)).\nAnswer: 42*q**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o + 7*o + 7*o - 4*o + 1 + o + o + 4*o + o - 2*o + (4*o + 0*o - 3*o)*(3 + 4 - 6) as d*o + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2*i = -23, 4*o + 19511 - 19515 = 2*i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (424\/4)\/(4\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 8:05 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21537*h**3 - 16409?\nAnswer: -64611*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 43*x**2 - 22*x - 828. Let a be f(42). Let c(m) = -27*m. Let g(l) = -l. Give a*g(h) + c(h).\nAnswer: -39*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 76, 135, 216, 325, 468, 651?\nAnswer: 880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 + -98. What is the second smallest value in y, -2\/3, -18, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.4 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9322)\/(-1185) + 20\/6 + -11. Put y, -9, -7, 5, 1 in increasing order.\nAnswer: -9, -7, y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r. Let f(c) = -c**2 - 68*c + 527. Let v be f(7). Solve -i + 0 + v = r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(1 - (-8)\/(-10)). Let q(h) = 14*h + 102. Calculate the smallest common multiple of q(w) and 33.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 361 + -363. What is the remainder when 40 is divided by 15 + q\/6*0\/(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057)*6 + (sqrt(187)\/sqrt(11))**2*-2 - (-2 + sqrt(17) + (4*(-2*sqrt(17))**2 - sqrt(17)) + 4).\nAnswer: -308 + 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**2 + 242*h + 2308. Give j(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence era when three letters picked without replacement from {e: 1, a: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144*g - 5 + 1819*g + 5 to the form p + d*g and give d.\nAnswer: 1963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 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 t be -6 - (-7)\/(14\/4). Is 491 - (t - (2 + -6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c. Let w(b) be the second derivative of -4*b**3 - 23*b + 16. Give g(w(o)).\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u + 10 = -5*b, -u + 10 = -5*b. Which is greater: 7\/71 or u?\nAnswer: 7\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -98855538.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2709 and 61\/279027?\nAnswer: 279027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 19*m**2 + m + 22. Let k be x(-19). Put 8, k, 1 in decreasing order.\nAnswer: 8, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 29 + 82 = -3*n, 5*s + 4*n = 149. What is the greatest common factor of 264 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 238 = -g + 3030, 0 = j - 3*g - 685. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**3 - z**2 - z + 1. Let q be o(-1). Solve i = -3 + q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**3 + 6*i**2 - 10*i + 4. Let m(k) = -6*k**3 + 7*k**2 - 11*k + 5. Let f(n) = -6*m(n) + 7*z(n). Give f(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - 0)\/2 + 62?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13136 or 41?\nAnswer: -13136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 230673 and 251873.\nAnswer: 482546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-4)\/20) - 5. Solve -22 = 4*w - i, 0*w + w - 4*i + 13 = a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-2 + 20\/6). Suppose -2*w + 0*w = c. What is the least common multiple of 4 and ((-14)\/3)\/w*6?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*1.69\nAnswer: -0.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.03 (b) 0 (c) -0.2 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(-2\/25))\/l)\/l)**(1\/49)\/(l*l*l*l**(-18)*l*l\/(l\/(l\/l**(10\/13))*l)*l) assuming l is positive.\nAnswer: l**(219249\/15925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4066 is divided by 126?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3*g - 17 = 0, -185*g - 187*g + 375*g + 15 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1528 - 4698?\nAnswer: -3170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*r + 4*r + 4*r)*(29*r + 12*r + 23*r) to the form w*r + i + x*r**2 and give x.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-4)\/32*-4. Sort 3, -4, n in ascending order.\nAnswer: -4, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5122 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 6*z + 5. Let v be q(6). Suppose -2*j = v + 1. Let n = -141 - -421\/3. Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 5*u**2 - 5*u + 2. Let y = 12 - 8. Let i be m(y). Let d(g) be the third derivative of -g**5\/60 + g**4\/12 + g**3\/6 - 3*g**2. Give d(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-273)*-12*(0\/(-6) - 2)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -3. Let g = 0.309 + -468.309. Let z = -463 - g. Which is the second biggest value? (a) h (b) -2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -35. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7*(-12)\/126)\/((-2078)\/4914 - (-27)\/63)\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612346817 to the power of 1\/2, to the nearest integer?\nAnswer: 51111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 14, 2, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1272)\/(-40) + 2\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1008) + 1)**2 + -4*(-1 + sqrt(1008)) + 4.\nAnswer: -2010 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 412*d + 335*d + 240*d - 61*d.\nAnswer: 926*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -125277 (base 10) in base 12?\nAnswer: -605b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 3 (b) -4 (c) 3\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477\/(-6)*12\/(-18)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -25*l - 11. Let v(s) = 12*s + 5. Calculate -3*f(j) - 7*v(j).\nAnswer: -9*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49, 221, 503, 895, 1397, 2009?\n\"Answer: 55*d**2 + 7*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1517f (base 16) to base 15\nAnswer: -1a8ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 21487 + 21465 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 299393865?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-448)\/70*(-9)\/(-18)*(-195)\/(-6)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 26*h + 1. Suppose -5*k + 3 + 2 = 0. What is the units digit of b(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**1)**(-12)\/(q**3\/q**(3\/5)) assuming q is positive.\nAnswer: q**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 20*b = -22*b + 14, -4*v - 5*b = -28 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -23332?\nAnswer: 23340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z + 3*z - 2805 - 2*z**3 + 8*z + 552 in the form k*z**2 + f*z**3 + n + o*z and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.169978 + 828622.7.\nAnswer: 828622.530022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + 3\/((-24)\/(-94)) and (-20)\/8*((-207)\/(-15) - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285789363 + -1.56.\nAnswer: -285789364.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18550995?\nAnswer: 3, 5, 17, 23, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 0*l, 5*l + 6 = -3*i. Let k = i + 3. Suppose -z + k = -13. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -437.4, -30, -0.24, 3 in increasing order.\nAnswer: -437.4, -30, -0.24, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082432 rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 10*h**2 - 27*h - 5. Calculate l(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 13. Let m(f) = -28*f - 1. Let h(k) = -13*k. Let w be (-3)\/9*(-2 + -16). Let q(r) = w*m(r) - 13*h(r). Determine 4*l(u) + 9*q(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 0 - (-479001)\/(-15*9\/(-90)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -1570, 5 in decreasing order.\nAnswer: 5, 3, -5, -1570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**6\/120 + r**5\/30 - r**4\/6 - r**3 - 62*r**2 - 5. What is o(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4 - 21521463*c**3 + 30347483*c**2 wrt c?\nAnswer: 48*c - 129128778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 38772*u + 187908498.\nAnswer: 2*(u - 9693)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1395892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -273, -398, -523, -648?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.133 - -40.\nAnswer: 39.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 8:01 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -944905*-3.5\nAnswer: 3307167.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2694988?\nAnswer: 2, 673747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.2. Let l = p + -1.2. Let k be (-5)\/4*(-13)\/(-65). Which is the third smallest value? (a) -2 (b) l (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21 - 1)*(0 + (-3)\/3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 6352578.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 6*l - 7. Let o = -45 + 40. Let a be (o\/1)\/(2 - 9\/6). Does 40 divide i(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 851457148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 14*b - 10 + 9*b in the form y + c*b and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 571, 1143, 1715, 2287?\n\"Answer: 572*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109281231.\nAnswer: 3, 31, 89, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y + 66. Is x(4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 490 = -3*h - 36*h + 24*h for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.5, -62, -18, -2, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -20. Let a(c) = c - 2. Let v be a(x). List the prime factors of 436\/8 + v\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kff. What is prob of sequence kf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0 - 4. Put 1, c, -2 in descending order.\nAnswer: c, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y. Let d = -24 + -6. Let f = 42 + d. Suppose 8*w - f*w = -12. Determine t(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.041?\nAnswer: -0.0123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than -57.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -13, 19, 28\/3 in descending order.\nAnswer: 19, 28\/3, -0.1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 179*h - 107. Let w(a) = -88*a + 55. What is -3*c(q) - 5*w(q)?\nAnswer: -97*q + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111319.\nAnswer: 13, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + m**2 - m**2 + (-5*m + 3*m + m)*(m + 3*m + 3*m) - 2*m**2 - 2*m + 2*m.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20424903 is divided by 531?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03599937 - -0.036. Round w to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/15*1650\/(-125)*3\/4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 9*s + 13. Let l be 10\/(-20)*(19 + -1). Let p be b(l). Solve w = 3*k - 3*w - p, 5*k + 2*w + 13 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -44, -141, -246, -353, -456?\n\"Answer: m**3 - 10*m**2 - 74*m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117015.\nAnswer: 3, 5, 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**5\/12 + a**2 - 16*a. Let h(n) = 40*n. Calculate h(y(o)).\nAnswer: -200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6980859 kilograms in tonnes?\nAnswer: 0.0006980859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 931*d**3 - 492*d**2 - 504*d + 253 wrt d.\nAnswer: 5586*d - 984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, 41, -52?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 23?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 9 - -8) + (-1 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 7*a + 165 = -5516. Let o(c) = -3*c**3 - 2*c**2 - c + 3. Let t be o(-3). Calculate the highest common divisor of a and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -10736621.\nAnswer: 53683105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15.31593073+-0.3\nAnswer: -15.61593073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 252 = -3*n + 15, -4*n - 575 = -5*t. Calculate the remainder when t is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4455511 + -2140928. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(84)\/sqrt(6)*-2)\/(sqrt(7) + sqrt(252) + sqrt(252)*5).\nAnswer: -4*sqrt(2)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173 + -20.6. Let p = l - -194. What is the fourth smallest value in 4, -0.07, p, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 270\/75 + (-3)\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 - 9 = 0. Let o = -218.3 - -218. Put -7, r, o, 4 in descending order.\nAnswer: 4, r, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.909044 weeks in nanoseconds?\nAnswer: 549789811200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11793 (base 12) in base 13?\nAnswer: -a971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136 + -124. Which is the nearest to 5? (a) 1 (b) 2\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/4 + 22751319*k\/2 + 172540838746587\/4.\nAnswer: 3*(k + 7583773)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-3*b**3 - 7*b**3 - 2 + 7*b**3 + 2*b**2).\nAnswer: 3*b**3 - 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 840\/6*-1*14. Does 14 divide 2\/(-4) + (4 - h\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*a - 6812 - 186056 = 0. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -12*l - 3*t + 29, 3*l - 4*t = 3. Solve -5*z + 4 = -q + l*q, 5*q + 4*z = 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7076*b - 11080. What are the prime factors of l(-6)?\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -2*i + 12, 4*k = -2*i + 6*k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28976, 57915, 86854, 115793?\n\"Answer: 28939*q + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 11. Let k(c) be the first derivative of c**4\/4 + 2*c**3\/3 - 5*c**2\/2 + 2*c + 5. Let h be k(5). What is the highest common factor of h and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-21))\/((-2)\/72). Let r = 20 - q. Sort 0, r, -3.\nAnswer: r, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9036 - 5?\nAnswer: -903b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10962*c - 5467*c + 420 = 5500*c for c.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 6*v**2 + 10. What is h(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/187)\/(5151\/(-1401072)).\nAnswer: 32\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjijjjjijjjijj. Give prob of sequence ijji.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46190, -46146, -46104, -46064, -46026, -45990?\nAnswer: -45956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 228256837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 7:22 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.297834 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001221201 (base 3) to base 2.\nAnswer: -1001111101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 32 = l. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43622 - -174487\/4. Sort -2, -0.7, m, 19, -0.2 in decreasing order.\nAnswer: 19, -0.2, m, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/2*v**4 + 0*v**2 + 0*v - 13*v**5 + 0*v**3 = 0. Calculate v.\nAnswer: -1\/26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -10*v**3 - 3*v**2 - 2*v + 39. Calculate u(4).\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-237)\/948*(-4)\/3. What is l in 0 + 1\/3*l**4 + 1\/3*l**3 + 0*l - g*l**2 - 1\/3*l**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) -3 (b) -8.1 (c) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/547 (b) 2\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-57)\/95 + (-2)\/5. What is the tens digit of -3 - (-73 - (k - -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 14 - 5 + 10.\nAnswer: -2*a + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-87)\/232 - (-6)\/144. Let w = 37 - 39. Which is the third smallest value? (a) j (b) 11 (c) w (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-210)*((-46)\/4 - -1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 1 (b) -7 (c) 0.3 (d) -12 (e) -138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**6\/30 - 1911*y**5\/20 + y**4\/6 + 5557*y**3\/3 + 3858*y. What is the second derivative of b(n) wrt n?\nAnswer: -12*n**2 - 11466*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13311412 (base 5) to base 10\nAnswer: -135232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from {b: 6, c: 13}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 + -70. What is the third biggest value in -2\/17, 4\/5, h?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.05545.\nAnswer: -0.016635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.27 + -16.27. Let r = -12 - s. Let g be -2 + 4 + 16\/(-9). Which is the smallest value? (a) g (b) 0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {f: 4, e: 2, q: 5, h: 4, a: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3478 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/14 + 0 + 8\/2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 + 127)*9\/243 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/4 + 14*i**3\/3 - 5*i**2 - 27*i - 70. Let j be c(13). Solve 3*p + 2*o - j = 0, -3*o + 6 + 3 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5904516372?\nAnswer: 2, 3, 107, 4598533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -3*r**3 - r**2 + 0*r - 7 - 7\/4*r**4. Find d such that k(d) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76065 divided by 3\nAnswer: 25355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 176028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3611 (base 10) to base 3.\nAnswer: 11221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -36. Let o = 37 - l. Suppose 3*d - 3 - o = 0. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.7. Let y = n + 0.6. Let i = 127 - 255\/2. Sort i, -0.3, y in descending order.\nAnswer: y, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-seven halves of a millennium?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -58, -18, 6\/11, -138, -5\/4?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 56*k - 299. Let l be h(5). What is the greatest common divisor of 5514 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6099\/14231)\/((-8)\/42)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 9.\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {v: 1, e: 1, r: 1, w: 1, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 229, 771, 1765, 3355, 5685, 8899, 13141, 18555?\n\"Answer: 24*d**3 + 82*d**2 + 128*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 14*m**2 + 3*m + 9. Let o be w(14). Suppose o + 63 = 3*s. Calculate the remainder when s is divided by (1 - 0)\/((-1)\/(-13)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98264 and 22152.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(16)\/sqrt(2) + sqrt(8) - sqrt(8) - sqrt(8) - sqrt(2)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 4*b + 50 = 0, -j + b + 33 = 23 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 - 2*i**2 + 2*i - 1. Suppose -3 = j - 0. Calculate the remainder when b(j) is divided by 82\/8 - (-3)\/(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4979 minus 0.1?\nAnswer: -0.5979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 48029.6442024?\nAnswer: 48029.9442024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*c - 5*z + 9, -4*z + 18 = c. Let q = 639 + -349. Suppose -301*w + 44 = -q*w. Solve -w*g = -c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, n: 12}. What is prob of sequence ngn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {o: 1, t: 5, n: 4, k: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 276559097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53871270119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 i when three letters picked without replacement from {i: 2, n: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 6) to base 8\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95194 or 95422?\nAnswer: 95422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 13*l - 16. Let p(k) = -4*k + 5. Let i(z) = -2*c(z) - 7*p(z). Let w be i(1). Let y(v) be the third derivative of -v**4\/8 - v**2. Determine y(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(sqrt(1088) + -2 + sqrt(1088))*-5)**2*-1.\nAnswer: -435600 + 6400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 275*u*x**2 - 14*u*x - 321*x**2 + x + 18 wrt u?\nAnswer: 275*x**2 - 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3*-3)\/((-572)\/5434)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -307500*z**2 + z - 10. Let k be r(10). What is k rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -0.4, 6, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5287.2264 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**2*o*o)**(-1\/42))**7\/(o*o**1*o\/(o**(-1)*o))**(-46) assuming o is positive.\nAnswer: o**(823\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42503548*f + 167426094.\nAnswer: 42503548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 5*n. Let h(u) = -u - 7. Let y be h(9). Let t = y - -11. Let d be k(t). Solve -w - 2 - 2 = d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30db3 - 90?\nAnswer: -30e43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 27789*y**3 - 3*y**2 + 40*y - 41. What is the thousands digit of n(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 2, w: 2, a: 2, i: 1, k: 1}. What is prob of picking 1 w and 2 a?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21563, 173222, 585501, 1388912, 2713967?\n\"Answer: 21752*l**3 - 202*l**2 + l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 650 + -655. What is the third smallest value in -0.1, -3, 1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 14*s + 16. Determine d(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 7:06 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202520577.\nAnswer: 3, 7, 97, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/9 - 7*p**4\/9 - 5*p**3\/9 + 7*p**2\/9 + 2*p\/3 = 0. What is p?\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.478 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2128652322148449 + -0.3.\nAnswer: 2128652322148448.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 15 = -19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 25\/316718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.813921 to one decimal place.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -t + 3*t - 2*z, 4*z + 12 = 0. Calculate the smallest common multiple of t and (-19 - (-60)\/5) + 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -104? (a) 2\/9 (b) -2 (c) 3\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2 + 15*z + 10. Let s be m(-6). Let g = 177 - s. Suppose 4*i = -8, 0*q - 3*i = 3*q - 54. Solve 2*d - 2*f = -2*d + 22, 5*d + g*f - q = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -708.2 times -0.1\nAnswer: 70.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -597 + 2*c - 615 + c**3 - 15*c**2 + 1185. Give o(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -25. Let y = -10 - s. Calculate the smallest common multiple of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 1\/2 (c) 3\/8 (d) 929\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1006, 1629, 2286, 2977, 3702, 4461, 5254?\nAnswer: 6081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.5 + 5.453. Let m = -0.02 - a. Let y = m + -0.075. What is y rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 7\/3*v**3 - 1\/210*v**7 + 0 + 0*v**6 - 30*v**2 + 0*v**5 + 25\/24*v**4 + 0*v. Differentiate y(u) with respect to u.\nAnswer: -4*u**3 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10428*b**3 + 1 - 1.\nAnswer: -10428*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)*t*t*t\/(t*(t**0*t)\/t)*(t\/(t\/t**2))\/t**(-6))**(-14) assuming t is positive.\nAnswer: t**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.65733mg to micrograms.\nAnswer: 97657.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 28 = -12. Suppose -42 = -2*l + 4*u, -2*l + 3*l + 7 = -5*u. Suppose 135 - 1110 = -l*c. Calculate the remainder when c is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131 (base 5) in base 2?\nAnswer: -10100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiirmiieriii. What is prob of sequence eim?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 22073 + 22073.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4.1 * 40\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-3)\/4*2. Let j = 7.1 + -3.1. Which is the third biggest value? (a) -1 (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(1*(-3)\/(-8)). Let z(x) = -6*x**2 - 4*x**2 + i*x**2. Let d(p) = -6*p. Determine z(d(b)).\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x + 25081 = -71694. What is the greatest common divisor of 25 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 14. Let k = 64 + 35. Let g = k + -97. Let q(l) = 9 - 6 - l**g - 3. Determine i(q(s)).\nAnswer: -2*s**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*16\/16*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -1, 0.1, 8, 2666, 92 in increasing order.\nAnswer: -1, 0.1, 3\/4, 8, 92, 2666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4\/8 - 71*i**3\/8 - 991*i**2\/8 + 5559*i\/8 + 810 = 0.\nAnswer: -48, -27, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -222660*j + 222658*j + 10, 3*q = -j - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -28.923. Let q = g + 0.123. Let h = -0.3 + 1.3. Which is the closest to q? (a) 0.5 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 10, -328*t + 326*t = -3*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1114432 + -3432?\nAnswer: -1123414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 40893758 a multiple of 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 2317619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 423403*a**2. Let c(j) = 251*j**2 + 2. Calculate c(m(u)).\nAnswer: 44996795202659*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13082.\nAnswer: 2, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 31*v**2 + 65*v + 41. Let z be o(33). Suppose 11 = -z*g + 35. Let d = 0 + 1. Sort d, 0, -5, g in decreasing order.\nAnswer: g, d, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*r + r + 3*r)*(2*r**3 + 3*r - 3*r) + 5*r - r**4 - 5*r.\nAnswer: -11*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -65278331 to the nearest ten thousand.\nAnswer: -65280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 15876*x**2 + 20568735*x + 1157478498.\nAnswer: 3*(x - 2673)**2*(x + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**6\/60 + g**5\/6 + 2*g**4\/3 + 4*g**3\/3 + g**2 - 2. Let r(y) be the second derivative of l(y). Let r(m) = 0. Calculate m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-198)\/(-108) - ((-38)\/3 - (-143)\/11). Factor u*v**3 - 9\/2*v**2 + 3 + 3\/2*v**4 - 3\/2*v.\nAnswer: 3*(v - 1)**2*(v + 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -277 + 282. Suppose -a*y + 2 = v - 101, 5*v + 2*y = 423. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74539 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/875*-25)\/((-3)\/2)*1?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -0.27. Which is the second biggest value? (a) n (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 675859 divided by -5.\nAnswer: -675859\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**2 + 1\/5*u**4 + 0 - 12\/5*u**3 - 10*u.\nAnswer: u*(u - 5)**2*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2173644, -2173613, -2173562, -2173491, -2173400, -2173289?\nAnswer: -2173158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-5) - 1304\/(-3 - -1). Calculate the highest common divisor of 72 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 6*z - 191. Let y(r) = 236*r**2 + 2*r + 1. Let j be y(-1). Let g = j + -165. Calculate the remainder when g is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -3*(sqrt(252)*-1 + sqrt(252)) + sqrt(252) + sqrt(252)*-2*-3)*-4)**2.\nAnswer: -6720*sqrt(7) + 197968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33891 and 268554.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 978530 and 8134?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -118, -121, -126, -133, -142, -153?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1689553?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 286 - 286 - (-6 + 7 - (-144)\/(-3)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - -92. List the prime factors of b.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9458243269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hohhohoh.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*l**3*o**3*q**3 - 48045290*l**3*q**3 + 39352*l**3*q**2 + 2*l**3 - 2*l**2 - 4*l*o**3 - 2*l*o**2 + 2*l*q**2 wrt q.\nAnswer: 36*l**3*o**3 - 288271740*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -33. Let x(b) = -2*b - p*b + 4*b + 4*b. Let i(h) be the first derivative of 4*h**3\/3 - 3. Give i(x(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 360727, 721345, 1081963, 1442581?\n\"Answer: 360618*s + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 131?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 10534*b**2 - 36*b + 25. Is t(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4 = 2*h, -9*l - 4 = -7*l. Let k(q) = -2 + 2*q - q - 6 - h. Give k(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 74*h + 584. Determine a(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59087112 and 195168?\nAnswer: 236348448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 878 + 880 - 1758 + 2111*i to l*i + v and give l.\nAnswer: 2111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 115442724 to the power of 1\/2, to the nearest integer?\nAnswer: 10744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a + 5*a - 1880 = 0. Sort -4, a, 4, -5, 5.\nAnswer: -5, -4, 4, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w*w*w**(-3\/7)\/w)\/w*w)*w**(-1\/4) assuming w is positive.\nAnswer: w**(5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 269376 and 72128?\nAnswer: 13199424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 234385 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 254, 593, 1088, 1751, 2594, 3629?\nAnswer: 4868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 511293139 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-8))\/(-1)*4\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1142070 + 2949070. What is g rounded to the nearest ten thousand?\nAnswer: 1810000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001671465?\nAnswer: 5, 200334293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16854\/(-1113) - (0 + -15). Which is the second smallest value? (a) 3\/2 (b) -5 (c) -27 (d) -2\/15 (e) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*y - 29 + 29 + 529*y - 914*y.\nAnswer: 79*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (45873\/45 - -5) + 2\/(-5). Suppose d = 5*z - 1156. What are the prime factors of z?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13825, -13061, -12297?\nAnswer: -11533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1419\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424 = -71*h - 2*z, h - 8*z = -9*z + 5 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135\/81*22926\/10 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 11. Let f be x(-4). Let c be (1 - (-6)\/9)*3. Let m be -7 + c - -1 - 6*1. What is the smallest value in f, -0.3, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 6. Let k be p(-5). Suppose -b + 37 = 4*b + 3*x, 0 = k*b - 5*x. Suppose 5*o + 10*q = b*q + 165, 5*q - 105 = -3*o. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - 3 + 3 + (3 - 3 - 3*v)*(-5*v + v + 5*v) + 23*v**2 - 7*v**2 - 6*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 186666 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 130112.826 plus -0.0467?\nAnswer: 130112.7793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 11. Let n be i(9). Let l(q) = -60*q**2 + 20*q**n + 20*q**2 + 21*q**2. Let x(d) = -9*d**2. Determine x(l(t)).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**4 + 3*z**4 - 2*z**4 + (-321*z**3 + 138*z**3 + 140*z**3)*(5 - 3 - 1)*(-3*z + 0*z + 4*z).\nAnswer: -37*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109*o**4 + 57?\nAnswer: -436*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 3*a - 10. Let p be v(5). Let w be -2*((-20)\/(-8) - p). Let y(u) = -145*u - 4. Is y(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*t**4 - 25*t**4 + 12*t**2 - 9*t**2 + 8 + 2*t wrt t?\nAnswer: -144*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/6)\/r)\/r)\/(r\/r**(-1\/9)))\/(r**(-1)\/(r\/(r*r**5)))*((r\/r**3*r*r)\/r**(-4))\/((r*r**(4\/7))\/r**(-1)) assuming r is positive.\nAnswer: r**(-695\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -630, -5082, -17172, -40710, -79506, -137370, -218112?\n\"Answer: -635*n**3 - 9*n**2 + 20*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 15671 = -2*c - 4405, -3*c - 2*b = -16911. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvvvvvfvvvv. What is prob of picking 1 f and 2 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -109291.\nAnswer: 54645.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -220 * 0.105\nAnswer: -23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(63)\/(sqrt(9)*-1) + sqrt(7)) + (((1*sqrt(210))\/sqrt(10))\/(1*sqrt(3)*-1))**2 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2461, 9837, 22133, 39349, 61485, 88541, 120517?\n\"Answer: 2460*n**2 - 4*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -744.4839 to the nearest 10.\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003281 to 7 dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 8364.\nAnswer: -5, -2, 8364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 - 410\/40. Let x be (-106)\/n + (-15)\/25. Suppose -5*k - 240 = -x*k. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70\/7 + 123 + 5. Which is smaller: h or 140?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, s: 2, w: 2, u: 1}. Give prob of picking 1 k and 2 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1770\/(-40))\/((1\/8)\/(6\/(-108)))\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3 + 6252*a**2 + 24984*a + 24976 = 0. What is a?\nAnswer: -3122, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**2 - 29*k + 2*k**2 - 11*k - 43*k - 3 to z + t*k**2 + x*k and give x.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232787.\nAnswer: 131, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1477 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.97 - 8. What is the biggest value in -5, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 9*c + 1. Give f(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i - 12. Let w(u) = u + 15. Calculate w(n(o)).\nAnswer: 6*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 1. Let d(m) = 8*m - 7. Let q(v) = 2*d(v) - 14*u(v). Let p(j) = j**2. Let f(y) = -3*y**2. Let z(s) = -6*f(s) - 15*p(s). Calculate q(z(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7474, 7456, 7438?\nAnswer: 7420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -99. Suppose b - w = -b. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*z**3 + 3*b*z**2 - b - 152*z**3 - 5*z**2 wrt z?\nAnswer: -12*b - 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -121, -184, -365, -724, -1321, -2216, -3469?\n\"Answer: -10*k**3 + k**2 + 4*k - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254*c - 120 = 1264*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -104, -68, -18, 40, 100, 156, 202, 232?\n\"Answer: -r**3 + 13*r**2 + 4*r - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123467644?\nAnswer: 2, 443, 69677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 109555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 834 divide 231163950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8154 - -8172. Let p be ((-6)\/4)\/(78\/(-8)). Put n, -4, p in descending order.\nAnswer: n, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 7*p + 8. Give s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (-15 - -55) - (-5 + 31).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3 + 16*a**2 + 2*a - 16 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c + 625 - 1010 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 356534700 to the nearest one hundred thousand.\nAnswer: 356500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r + 306 = 295 - 253 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k = 0. Solve -4*n - f + 5*f - 8 = k, 4*f = 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 - 14004?\nAnswer: -14101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than 65773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 88 = -12*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*m - 0 + 3, 15 = 5*m. Suppose l*b - b = 165. Let t = -23 + b. What is the greatest common factor of t and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.3 - 4.3. Let b = t - 27. Let u = b + 1.0069. What is u rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzse when four letters picked without replacement from {x: 6, s: 6, z: 2, e: 3, j: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 15*j + 4536 = -362*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round 18.012 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95.4 - 17.45407.\nAnswer: 77.94593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 0*a**3 - 3*a**3 + 2*a**3. Let k be q(-1). Sort k, 4, -3 in ascending order.\nAnswer: -3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 7 + -12 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -1646a?\nAnswer: 16473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (492\/328)\/((-33)\/1298)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 16*x + 57. Let q be u(-11). Suppose -s - z + 20 = q*z, 124 = 5*s + 3*z. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -151, -303, -455?\n\"Answer: -152*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.247513 hours to milliseconds.\nAnswer: 11691046.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14cb - 4a1d?\nAnswer: -5ee8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 653*z + 236. Let k be f(5). Let o = -1803 + k. Round o to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 1:00 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-9\/8)\/(x*x**(-14)))**(-2\/49))**(-46) assuming x is positive.\nAnswer: x**(2185\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, -3 in ascending order.\nAnswer: -10, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48.399021 - -49.3254. Let l = o - 0.926. Round l to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or -12\/17?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxqbkqxkbcqxcx. What is prob of picking 1 x and 2 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46.956 + -47. Let l = 0.034 + k. What is l rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 2261?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16653161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4493*-1.\nAnswer: 4493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9672\/(-91))\/(-3) + (-6)\/14. Which is smaller: 45 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36446 (base 12) in base 9?\nAnswer: 121370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8544 and 60.\nAnswer: 42720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uruk when four letters picked without replacement from {k: 5, u: 4, r: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/5*(-104140)\/(-8))\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*i + 694*i + 261 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 7*b**2 - 4*b + 7. Suppose -2*o = 3*s - 113, 4 = -0*s - 4*s. Let l be o\/(-8) - 1\/(-4). What is the tens digit of r(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + -1 + 3 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8482?\nAnswer: 2, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 188 = 4*g, -5*g + c + 234 = 3*c. Suppose 15 = -3*q, 0*m - 3*m + 2*q = -19. What is the remainder when g is divided by (-2 - 3)\/(4\/(-60)*m)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116 - -120. Calculate the remainder when 29 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/23? (a) -0.1 (b) -1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-481)\/2)\/((-78)\/4)?\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 508295?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 - -0.026. Let d = 101 - 101.057. Let m = d - 0.043. Is m less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383294*w**3 - 137545*w**3 + 4*w - 4*w.\nAnswer: 245749*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387*j**2 - 76*j**2 + 213*j**2.\nAnswer: 524*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + 3.4. Let m be (-112)\/(-30) - (-2)\/(-5). Let a = m + -3. What is the closest to 0 in 0.2, a, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g**2 + 16*g + 16. Let n(u) = 0*u**2 + 5 + 5*u + 3*u**2 + 0*u**2. Suppose -v = -2*l - 27, 5*l + 1 = -5*v - 104. Calculate l*n(x) + 5*f(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53 - -5)*15\/36*12\/(-30)?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4340632 divided by -4?\nAnswer: 1085158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13741648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 10 + 0*n**2 + 4*n**4 + 22\/3*n**3 + 0*n. Find the third derivative of l(t) wrt t.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 971*u + 62. Let i(p) = -2911*p - 184. Let m(v) = -8*a(v) - 3*i(v). Does 14 divide m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1463*c**5 - 6*c + 2?\nAnswer: 29260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35286?\nAnswer: 2, 3, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 248*i**3 - 218*i**2 + 12. Let k(o) = -253*o**3 + 219*o**2 - o - 14. Let s(y) = 12*k(y) + 14*l(y). Factor s(v).\nAnswer: 4*v*(v - 1)*(109*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 37, 119, 275, 529?\nAnswer: 905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u + 205. What is the units digit of z(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/(sqrt(8)\/sqrt(2)))\/(sqrt(60)\/(sqrt(96) + sqrt(6))) + 4)*-2.\nAnswer: -10*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1440 and 1600.\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 7ad7?\nAnswer: 7ad6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 660?\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 7*d**2 + 8*d. Let g be n(-8). Suppose g*b - b + 3 = 0. Solve 0 = v - 2*o + 4*o + 15, 0 = -b*o - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 9*l - 30. Let y be z(-12). Let a(x) = -x**2 + x - 1. Let h be a(1). Let d = y + h. Solve -3*k = d*v, 5*v = 4*k - 11 - 24 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113658 + -8951024.29?\nAnswer: -8837366.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -1 - 32\/(-46). Let m = -496\/345 - r. Let g = -12.1 + 12.3. What is the smallest value in m, g, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, 8, -2\/3 in ascending order.\nAnswer: -2\/3, 4\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 255282765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -477244\/15 or -31815?\nAnswer: -477244\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.94 + -23. Let m = 6.96 + x. Let r = m + -7.852. Round r to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/3 + 7310*a - 43868\/3 = 0.\nAnswer: -10967, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from tddssowtwwjsswj.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**6\/15 + q**4\/2 + 2*q**3\/3 + 16*q. Factor a(p).\nAnswer: -2*p*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16639 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 2, j: 2, w: 1}. Give prob of picking 1 k and 1 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*h + 12 = 0. Let p(o) = 3*o - 2. Let i be p(h). What are the prime factors of 12 - (i + -8)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -3246121?\nAnswer: 3246114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s + 0*s)*(-3 + 2 + 2) + 7*s - 8 + 8.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Let j be (-6)\/(-8)*10\/3. Let o = -4328 - -4327.4. Which is the second smallest value? (a) n (b) -1 (c) j (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2764.3 + -2764. Does j = -0.804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 609 + 649 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let p = -4 - -3. Let l(d) = -5*d - 6. Let i(c) = c + 1. Let r(n) = p*l(n) - 6*i(n). What is r(s(o))?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j = -217 - 23 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 607 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*n**4\/4 + 32931*n**3 + 26783879*n**2\/2 + 2974767*n + 660969\/4 = 0.\nAnswer: -813, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -90b3ae + 10?\nAnswer: -90b39e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.193059 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 5:08 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5332230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q**3 - 405*q**2 + 41*q - 1857. What is i(45)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 594 and 88.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**13\/(b\/(b**(-2\/7)\/b))*((b**(1\/8)\/b)\/b)**(-18))**(-2\/35) assuming b is positive.\nAnswer: b**(-249\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12450404 (base 6) in base 10?\nAnswer: 410980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/177 + -368\/1239. Let h = -516.7 - -490. Let d = h + 28. Which is the second biggest value? (a) -1\/7 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 14*r - 10. What is the units digit of b(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29\/20 + 5\/4. Let c = 9.11 - 0.11. Let g = c + -7. What is the closest to -2 in b, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46573 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 3. Suppose 0 = 2*v + s*r - 10, 3*r = 5*v - r + 8. Let h be (v - -2)\/(4\/(-3)). What is the third biggest value in h, 0.2, -1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464 - 21*j - 23*j - 21*j + 63*j.\nAnswer: -2*j + 464","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighty-five quarters of a week?\nAnswer: 3570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17493 and 10085229?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/318, -8\/5, 0 in decreasing order.\nAnswer: 1\/318, 0, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 19 = 3. Suppose 0 = -3*m, -h*k - k + 50 = -5*m. Suppose -114 - 34 = -4*n. Calculate the remainder when n is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24228, -24222, -24212, -24198?\n\"Answer: 2*j**2 - 24230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15011434 less than -15011435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-33)\/18)\/11*(-2792)\/6. Let k = 9\/24229 + -71209355\/872244. Let g = h + k. What is the common denominator of g and -43\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f*f\/(f*(f*f**31*f*f)\/f))\/f))\/(f*f*f**0*f) assuming f is positive.\nAnswer: f**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9718700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8908956*c**2 - 4454465*c**2 - 4454476*c**2.\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**6\/120 + r**5\/15 - 7*r**4\/24 - 5*r**3\/6 - 21*r**2. Calculate z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -801 + 812. Factor r - 4*r**2 - 6*r - 42*r - 13*r - p + 75.\nAnswer: -4*(r - 1)*(r + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {q: 1, s: 7, o: 2, t: 1, k: 2, l: 6}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326210 is divided by 1165.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let g be b(-5). Suppose 6 = 3*q - g*p, -5*q + 5*p + 30 = -10*q. Let s(i) = 3*i**2 - i - 1. List the prime factors of s(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 28 = -9*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 5*m + 6. Let g be k(5). Suppose -g*p + 1540 = -p. Calculate the common denominator of 39\/4 and 2 - (1 - p\/(-12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11215648 by 12448.\nAnswer: -901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52186, 417447, 1408858, 3339493, 6522426, 11270731?\nAnswer: 17897482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1445 and 41616.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = -5*a, a + 3 = -2*q - 2. Solve 0 = 2*l - a*l + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 46535484?\nAnswer: -46535485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173616 divided by -8.\nAnswer: -21702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 3:22 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15155, -29300, -43445, -57590, -71735?\nAnswer: -85880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1159\/5 + 36*(-20)\/(-3600). Solve 0 = 2*o + c*h - 237*h + 3, 5*o - 4*h = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y. Suppose -j + 2*i = 12, -5*j + 5*i - 28 = -3*j. Let d = j + 8. Let w(b) = 2*b**2 - d*b + 4*b. What is o(w(r))?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -2, 0.3, 21, 36, -0.1 in increasing order.\nAnswer: -2, -0.1, -0.04, 0.3, 21, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*z - 30*z = 70 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, a: 3, x: 1}. Give prob of picking 1 a and 2 g.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3 + 2*i**4 + 20*i**3 - 110*i - 6*i**3 + 97 - 6*i**2 = 0. Calculate i.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 times -2439?\nAnswer: 107316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -104509370 divided by 20901874?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = 4*u. Suppose -u*w - 3*s = -0*w + 4, 5*s + 32 = 3*w. Suppose w*p + 27 = -9. Round p to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/9 - (-19)\/(57\/2958). Calculate the highest common divisor of g and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -550120 divided by 40\nAnswer: -13753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 824*h**3 - 8*h**2 + 382*h - 8. Let b(r) = -549*r**3 + 5*r**2 - 255*r + 5. Let i(l) = 8*b(l) + 5*f(l). Find the second derivative of i(n) wrt n.\nAnswer: -1632*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 15*p + 58 + 125 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91*b**4*r**2 - 2537*b**2*r**2 - 1068*r**2 + 247*r wrt b.\nAnswer: 364*b**3*r**2 - 5074*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9636 and 67452?\nAnswer: 67452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 9 - j**3 + 9 + 4*j to the form y + d*j**2 + v*j + o*j**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 4, -5\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l + 1 + 8*l - l. Let c(n) = 2 + 3*n**2 - n - n - 5*n**2. Let g(u) = 2*c(u) - 4*h(u). Let r(x) = 2*x**2. Calculate r(g(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -3*b**4 - 2*b**3\/3 + 34*b**2 + 4*b + 13. Differentiate g(z) wrt z.\nAnswer: -72*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 532*y + 332. Let o be u(5). Calculate the highest common divisor of 5440 and o.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58195 + 58195.4. Let p = -0.13 - -0.11. Which is the closest to 2\/3? (a) 0.1 (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n**3 - 11*n + 7. Let g(o) = 5*o**3 - 6*o + 4. Let z = -73 - -78. Give z*g(u) - 3*v(u).\nAnswer: -2*u**3 + 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -65069?\nAnswer: 65075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331253, -331156, -331059, -330962, -330865?\nAnswer: -330768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.2314 + 0.1614. Let r = -9 - d. Let x = -0.03 - r. What is the smallest value in 0, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4904, 4905, 4906, 4907, 4908, 4909?\nAnswer: 4910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-3))\/((-2)\/12). Let d be ((-6)\/(-3))\/(f\/45). Let u = d - 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b - 2. Determine c(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-21)*u**(8\/11))**(3\/19) assuming u is positive.\nAnswer: u**(-669\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**3 + 5*l**2 + 5. Let f(d) = d**2 + 1. Give -a(o) + 5*f(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -291980 to the nearest 1000.\nAnswer: -292000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*g**2 + 39 + 273*g - 35*g - 238*g - 210*g**2.\nAnswer: -g**2 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 42*l + 3. Give i(-2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 76076, 148520, 220964, 293408, 365852, 438296?\n\"Answer: 72444*a + 3632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 4:38 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 + 26. Let x = -64 - o. What is the first derivative of 6*c**2 - 22 + x + 1358*c - 1358*c wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32362 rounded to the nearest one hundred?\nAnswer: 32400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 99*r**2 + 2664*r - 236. What is y(121)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 - t**2 + 16*t**3 + 25*t**3 - 44*t**3. Let d be 3\/(-1*(-6)\/(-8)). Let i(u) = -2*u**3 + 3*u**2. Calculate d*i(a) + 3*z(a).\nAnswer: -a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161045, -322091, -483137, -644183, -805229, -966275?\nAnswer: -1127321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 53140, 425064, 1434548, 3400372, 6641316, 11476160, 18223684?\n\"Answer: 53130*b**3 + 14*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 209.68 + -209.58. Let o = -0.7 - 3.3. Which is the third biggest value? (a) 2\/13 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -48, -90, -150, -234, -348?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 494?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 7. Suppose 0 = -256*n + 228*n - 196. Let c(u) = 5*u**2 + 2*u**2 - 6*u**3 - 2*u**2. Let q(t) = 5*t**3 - 4*t**2. Give a*c(y) + n*q(y).\nAnswer: y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 4\/9 (c) 0.7 (d) -44 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 7*u + 5. Let w(i) = -2*i**3 - 11*i**2 + 6*i + 4. Let k(l) = l. Let o be k(-6). Let v be w(o). Calculate j(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2646 = 2*u, -6*u = -8*u + 4*f + 2610. List the prime factors of u.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 3*i + 24 = 0. Solve i = 2*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -425195 divided by 1535\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2428261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -20, -14, 2, 28?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11907 and 1743.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 2) in base 3?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1278180, -2556346, -3834512, -5112678, -6390844?\nAnswer: -7669010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577 + 566 = 4*g - a, 10*a + 42 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1413293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 9 = -c, 88409*c = -2*s + 88405*c + 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7242*s - 72415. Let i be f(10). Let y = 1 + -1. Put y, i, -2 in increasing order.\nAnswer: -2, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.8142305 less than 1519?\nAnswer: 1431.1857695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137993 or -137996?\nAnswer: -137996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*d - 330 = -66*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -0.2, 1\/96, -297 in ascending order.\nAnswer: -297, -0.2, 1\/96, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 = -3*s - 4, -4*s = p + 13. Suppose -p*j = j - 1160. Round j to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 15 - 1046*a**2 - 3 - 214*a**2 to y*a + b*a**2 + c and give b.\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 7*m + 3875 = -5575. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 4:59 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-1 + 24\/(-15)). Which is the third biggest value? (a) -0.1 (b) -10 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 7. Let u(v) = -2*v**2 - v + 5. Let h = 121 + -121. Let r be u(h). Determine q(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*((-2)\/(-14))\/(24\/126). Solve 10 = -u*r - 3*s - 11, -2*s - 24 = 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 10*l + (5 - 5 - 2)*(-7*l + 3*l + 2*l) + (4*l - l - l)*(-3 + 0 + 1) - 5*l + l + 5*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - 8*j**3 - 12*j**3 + (0 + 0 - 2*j)*(2*j**2 + 2*j**2 - 3*j**2).\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211 - -3593\/17. Let g be (6\/(-4))\/((-13)\/(-26)). Which is the biggest value? (a) g (b) 1\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -5*n + 1\/110*n**5 - 1\/33*n**4 + 2 + 0*n**2 + 0*n**3. Find k, given that g(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - -2. Calculate the remainder when 7 is divided by 20\/(-30) + b\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5618405642 and -0.9?\nAnswer: 5618405641.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4 + 6. Let o(w) = -w**2 + 19*w - 21. Let q be o(18). Let n be -2 + 6 + q + 5. Solve -n*i + i - 2 = -2*b, b + 8 = -m*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 19 = 3*h, -13 = -5*h - 3*y + 12. What is the least common multiple of h and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8041371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 + 8*v + 3. Let f be j(6). Let z = 380\/3 - f. Which is smaller: z or 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3168 divided by -18\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5224 times 0.04948\nAnswer: 0.025848352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.53 - -4.93. Which is the fourth biggest value? (a) 0 (b) -7\/3 (c) 2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 6*y + 12. Let d be s(-7). Let m(q) = q**3 - 4*q**2 + 3*q + 3. What is the units digit of m(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 33 - 51 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15249 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 48 = -4*j, 2*j + z - 30 = -6. Suppose -6 - j = -2*v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (-2 + sqrt(5))) + 5 + (-2*sqrt(5)*2 - sqrt(5)) + (sqrt(20)\/sqrt(4) + 0)*4)**2.\nAnswer: -14*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 + -51. Calculate the lowest common multiple of j and 3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-47 - (9 - 25)) - 10.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/9)\/((-1)\/(-9))*(2397\/51)\/47?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166*c - 1169*c = x + 3, 27*c + 2*x - 135 = -34*c - 2*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 117\/(-7) - 2\/7. Let t = j + 19. Factor 0 - 2\/3*s**t - 2\/3*s**3 + 0*s.\nAnswer: -2*s**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -2\/3*p**3 - 6*p + 0*p**5 + 0*p**4 + 3\/2*p**2 - 56 + 4\/3*p**6. Find the second derivative of j(y) wrt y.\nAnswer: 160*y**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733 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: Is 738890177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 1, b: 1, a: 2}. What is prob of sequence az?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1481, -2988, -4505, -6038, -7593, -9176?\nAnswer: -10793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -69.86841 and 5.\nAnswer: -64.86841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5092 (base 13) to base 3.\nAnswer: 120020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f**2 - 186*f + 77. Calculate the least common multiple of (-105)\/(-3)*72\/120 and j(31).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -14558527\nAnswer: -218377905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2342369 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24 + b**2 - b**2 + 22*b**4 + 38 wrt b?\nAnswer: 88*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -3*k + 426. Let u = k + 62. What is the common denominator of 2 - (u\/6 + -1) and 19\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14200536?\nAnswer: 2, 3, 7, 181, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*h + 2526 - 2526 + (-1 + 5 - 2)*(-3*h + 3*h + h) - h + 2 - 2 to the form o*h + d and give o.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5\/5 + 2390*i**4 - 39807*i**3\/5 + 27856*i**2\/5 + 15924*i\/5 - 3184 = 0. Calculate i.\nAnswer: -2\/3, 1, 2, 3980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.43\nAnswer: -0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178274 divided by -1.\nAnswer: -178274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33519 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 13 = 3*a - f, 0 = -a - 4*f + 24. Suppose -2 = -a*z - j - j, -4 = -3*z + j. Let u = -2625 - -446249\/170. Which is bigger: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**3*z**2 + u**3 - 10*u**2 - u*z**4 - 74*z**2 wrt z?\nAnswer: 2*u**3*z - 4*u*z**3 - 148*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 14 = -5*t + 10*t, -48*t + 94 = l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2. Suppose 3*r = -31*y + 30*y + 29, 2*r = -y + 25. Let m(a) = -a**3 + 18*a**2 - 20 - 12*a - 13*a + 9*a. Let o be m(y). Determine f(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n + 44. Let a = -4 - n. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.5279 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5736971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -91*k**5\/10 + k**4\/6 + 117*k**2\/2 + 127*k + 2. What is the third derivative of c(s) wrt s?\nAnswer: -1092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*p + 84, -3*i - 49 = p + 7. Which is the second biggest value? (a) 28 (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58 - 2*a + 0*a - 43)*(-121 - 72 + 124) in the form x*a + v and give v.\nAnswer: 6969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**7)**(2\/17))**(-33))**(4\/3) assuming a is positive.\nAnswer: a**(-704\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93219583?\nAnswer: 93219583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 134, 574, 1348, 2474, 3970, 5854?\n\"Answer: 3*w**3 + 149*w**2 - 28*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(176)*2.\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-3 - -1) - ((-95 - -109) + 5).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05983 - -0.06. What is g rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 25*g + 179 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -13. Let y = 94 + -94. Which is the closest to r? (a) y (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*w + 12. Suppose 3*r + 5*j = 55, -5*r - w*j + 10 = -86. What is the smallest common multiple of 4 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -30*b - 25. What is c(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1500)*-2 + sqrt(1500))\/(sqrt(315)\/sqrt(7) + sqrt(5) + (sqrt(5) - (sqrt(80) - ((1*sqrt(80) - sqrt(80)) + sqrt(80)))))*-1.\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 85) + -866 + 1002?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 320*j**2 + 305*j - 630.\nAnswer: 5*(j - 1)*(j + 2)*(j + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 10:06 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 140143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + (23 - (6 - -29))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -6 - (2 + ((-18 - -39) + -11 - -62))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5371747, -21486996, -48345745, -85947994, -134293743, -193382992, -263215741?\n\"Answer: -5371750*o**2 + o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -123, -242, -419, -660, -971, -1358?\nAnswer: -1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*q = 35*q + 29*q - 33. Let y(f) = 5*f**2 - 4*f. What is y(q)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/((4*sqrt(12))\/sqrt(6)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7501*q - 22578. Give n(-3).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -4\/15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyyytuutuyutyuy. Give prob of sequence tu.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 2 = -2*b - 5*g, b = 4*g + 17 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6 - -2.3. Let x = 6 + -9. Which is the second smallest value? (a) 2 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 4 - 4. Let f(m) be the second derivative of m**4\/12 - 8*m. What is x(f(c))?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 173, 276, 379?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1403887563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2347*y - 2390*y = -344 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -3, 3\/4, 4\/25, -1\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8250001228420 and 0.4?\nAnswer: 8250001228420.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:25 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/210*4 - 2\/(-7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 94817 and -0.732.\nAnswer: -69406.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.1, -87, -1\/257, 5?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-70))\/(3\/(3\/1)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87425 (base 9) to base 7.\nAnswer: 330626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:19 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4520 is divided by 1347?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 minus 17623564256?\nAnswer: -17623564253.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 88116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 29.3 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 5*z - 20. Let d be (-4 + 3)\/(-1)*105. Suppose -b + d = z*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((5*1*(sqrt(77) + -2*sqrt(77)))\/(sqrt(77)\/sqrt(11)*-5*-3))**2.\nAnswer: -25\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1320 (base 8) to base 9.\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576871174?\nAnswer: 2, 11, 349, 75133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o - 39*o - 60 = 0. Suppose o = -3*w + 3. What is the lowest common multiple of 10 and (-2)\/(-2 - w - (3 - 1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + a = -a - 28, v - 2*a - 13 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14394983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 9 + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 - 13) + (4 - 1). Let g be ((-21)\/(-5) - s)\/(22\/1155). What is the highest common divisor of g and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6498*z + 326047 + 245777 = 0 for z.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(0 + 0 + 7*i - i + 0*i - 2*i + (3 + 0 - 2)*(0*i + 2*i - i)) to x*i + u and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2.1 (b) -30\/31 (c) 0.2 (d) 2 (e) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*39736908.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/15 + (-2)\/5. Suppose p*o - o + 4 = 0. What is the units digit of (-2)\/(-8) - (-27)\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 227 (b) -3\/4 (c) -3 (d) -30\/19 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*n = 1, 92 + 106 - 164 = 2*u - 2*n for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5475 + 15406. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4957013?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 3*t**2 + t. Let r be f(2). Factor 0*n**2 + 9*n**2 + 3*n - r*n - 6*n**3.\nAnswer: -3*n*(n - 1)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/13))**(22\/7)*m*m*(m\/(m*m**(-24)))\/m*(m*(m\/(m\/((m**(3\/2)*m)\/m)*m))\/m)\/m assuming m is positive.\nAnswer: m**(4371\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g - 3. What is m(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*a = 24, -53 = -5*q - 635*a + 632*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1853.1 + 1765. Let n = -81 - m. What is n rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 3*x**2.\nAnswer: -3*x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*(-4)\/32*-4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)*o\/(o**(-3)\/o)*(((o*o**(1\/4))\/o)\/o*o)\/o**(2\/9))\/((o\/(o**8*o))\/((o*o**(1\/4))\/o)*(o**0*o)**(14\/13)) assuming o is positive.\nAnswer: o**(2933\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Let k be (o\/(-6))\/(3\/(-45)). Suppose 5*q + 3*v = 13, -3*q + 30 - 3 = -3*v. Is q equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9117878699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5385.897 minutes?\nAnswer: 323153.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3730798.\nAnswer: 2, 1865399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -1)*125\/(-150).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2371 is divided by 481.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4858239 to the nearest integer?\nAnswer: 2204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30849 + -10793. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6958.331 + 6938. What is u rounded to 1 dp?\nAnswer: -20.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + 45. Suppose -j = -2*d - 8, -2*j - 5*d - 5 + f = 0. Suppose 6*o - 31 = -7. Calculate the smallest common multiple of j and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -252 - 14368*z**2 - 255 - 249 + 1019 - 261 in the form w*z**2 + o*z + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66520, 66519, 66518, 66517, 66516?\n\"Answer: -u + 66521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y + 38. Let c(u) = u**3 + 9*u**2 + 17*u + 12. Let p be c(-7). Calculate f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 = 4*v + 303. Put 5, 4, 12, v in ascending order.\nAnswer: v, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (37 + -19) - (-1 + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, m: 1, y: 1, i: 4, u: 7}. Give prob of picking 1 y and 1 d.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**7\/147 - 2*g**6\/105 + g**4\/21 + g**3\/21 + 8*g. Factor j(d).\nAnswer: -2*d*(d - 1)*(d + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z*z\/(z*z\/(z**15*z)))\/z*z*z)\/z*z*z*z*z)\/z)\/z**(-36) assuming z is positive.\nAnswer: z**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -5\/248 (c) 3.1 (d) 7\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2899 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -2829263?\nAnswer: -565852.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0089629 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g = 7*g - 105 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 80*d**4 - 1205*d**3 + 6075*d**2 - 10375*d + 625 = 0.\nAnswer: 1\/16, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*z + 23*z + 26*z in the form d + f*z and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 818219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - w - 3)*(-39 + 7 - 49).\nAnswer: 81*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5240419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 332830 and 232981.\nAnswer: 2329810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + ((-2)\/(-2) - -3). Let a(d) = -d**2 + 4*d + 2. Let p be a(4). Suppose -20 = -h + 4*y, -p*h - u*y = h + 4. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.6, -2, 0.1, -0.06?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -75*z**2 + 2*z + 12. Let n(d) = 22*d**2. Give s(n(o)).\nAnswer: -36300*o**4 + 44*o**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1608*c**3 + 366*c**2.\nAnswer: 9648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + x - 8*x**2 + (-1 - 1 + 3)*(3*x**2 - 5*x**2 + x**2) + (11 + 5 - 7)*((x - 3 + 3)*(x - 4*x + 2*x) - 1 + 1 - 2*x**2) to a + c*x + b*x**2 and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -57a41?\nAnswer: -57a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 458.8757 tonnes?\nAnswer: 458875700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/504 and -53\/441.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97*34\/4*2768\/(-23528).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 399.8 + -2318062.2?\nAnswer: -2317662.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7}. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -13 + 10)*367\/(-1101)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20366 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -120*(3\/((-42)\/4) + 1755\/2835)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1101?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34718 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*x + 3*i, 0 = x + 5*i - 4*i - 10. Let y be x*((-5)\/(-2) - -1). What is the greatest common factor of y and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -280, -472, -688, -922, -1168, -1420, -1672?\nAnswer: -1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17982 + 18116. Let s = -30071 - -29934.91. Let j = y + s. What is j rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*u + 4*x + 23 = 354*u, 0 = 5*u + 9*x + 30 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 6:19 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*u**2)*(u + 1 - 1) + (0*u**2 - 4*u**2 + 2*u**2)*(-3*u - 2*u + 6*u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11584625 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -12172.\nAnswer: -12171.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/4 - 1)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*b**2 - 4*b**2 - 5*b**4 - 16*b**2 + 4*b**4 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17856599 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.01 (b) 0 (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 47970\/(-29315)*(-44)\/(-57)\nAnswer: -24\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27565 = 29*m - 5756. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 5*p + 2*p)*(-97 + 22*p + 97)*(3*p**3 - p**3 - 4*p**3) - p**5 - 123*p**3 - 124*p**3 + 245*p**3.\nAnswer: 43*p**5 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqmmmq. What is prob of sequence mq?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 p when four letters picked without replacement from {p: 5, g: 2, w: 8}?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceecece. What is prob of sequence cee?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 25*r**2 - 2*r - 15. Let y be u(-25). Suppose -5*g = 25, -3*l - 4*g + y = -35. Calculate the remainder when 56 is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/326 and 67\/10?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from teefeyb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1215 and 1129335.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65170509 a multiple of 1052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9018859 - -6188459. Round w to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**3*t - 111*j**3 + 12*j**2*t - 279*j**2 - 2*j*t + 2*j + 686*t + 21879 wrt j?\nAnswer: 24*j*t - 666*j + 24*t - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**5\/60 - 7*v**4\/24 - 5*v**3\/6 + 2*v**2 + 57. Calculate z(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -341 + 344. Solve -r + 2 = i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3552058 plus -6?\nAnswer: -3552064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.37, 1\/7, -59, -6\/7, -3\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 49373 - 81078908\nAnswer: -81029535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1523.04537 to the nearest integer.\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5838\/37271 - -8\/2867. Let f = 5 - 9.3. Which is the smallest value? (a) 2 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059878 to the power of 1\/2, to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76785*i**2 + 37556*i**2 + 39218*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -47.189 and -3.1.\nAnswer: 146.2859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3577109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2013436.8 to the nearest one thousand.\nAnswer: 2013000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.383 and 0.2?\nAnswer: 0.0766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 4. Let i be b(-6). Let w(y) = 4*y**2 - 3*y**i - 4*y**2 + 5*y**2. Let o(r) = 2*r**2. Give w(o(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rroruwroouuuu. Give prob of sequence rwo.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 127, 132, 153, 196?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5\/2*o**2 - 5\/2 + 5\/2*o**3 - 5\/2*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 81254 - 238*t**3 - 81237 + 83*t**3 wrt t.\nAnswer: -465*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -l - 3*l. Solve -2*w + 6 = -l*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573*f**2 - f**3 + 3*f**3 + 552*f**2 + 175*f**2 - 1300*f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -4999991.\nAnswer: 999998.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 32, 1\/427, 3, 5, -3 in ascending order.\nAnswer: -3, -2, 1\/427, 3, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*(-8)\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 4 - 7)*(-2*m + 3*m - 3*m)*(166 + 80 + 211)*(-2 - 2 + 2).\nAnswer: 10968*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 20*c**2 - 19*c + 30. Let x be o(-19). Calculate the greatest common divisor of x and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l - 27. Let i be z(8). Calculate the highest common factor of 40 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1944471 - 1253.\nAnswer: -1945724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -193 times -0.1\nAnswer: 19.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 + 3\/5. Let f = r - -4. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 523353 to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1444*v**2*y**3 - 721*v**2*y**2 wrt y.\nAnswer: 8664*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -367.9999898 + 368. Round u to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 210, 278, 332, 378, 422, 470?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 22 - 142 = 0. What is the least common multiple of i and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 64 = -11*t. Which is the second smallest value? (a) -0.11 (b) t (c) -6 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1287258 - 2078458. Round w to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4*sqrt(539) + 3)**2 + 2).\nAnswer: -336*sqrt(11) + 17270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 571 divided by 3108\nAnswer: 571\/3108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 15 = -6*h. Let i(l) be the first derivative of -2*l**2 - 2 + 2*l - 5*l - h*l + 2*l. Differentiate i(c) with respect to c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.58199 - -7.110751. Let p = t + -0.529. Round p to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 994 divided by -17.\nAnswer: -994\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*y + 73*y - 6*y as f*y + u and give f.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a + 9155a6?\nAnswer: 915615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -786.8 - -789.8. What is the biggest value in 2, 134, t?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(17))*4)**2 - ((sqrt(17)*-5 + -4)**2 + sqrt(17)).\nAnswer: -25 + 55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, x: 5, i: 2}. Give prob of picking 1 n and 2 x.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from beebbebebbb. What is prob of sequence bb?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by -17.\nAnswer: -44\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 405 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 50. Let j = -5 + a. Is 294 + 0 + j + 0 + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l + l)*(-1 + 0 + 2)*(5*l**2 - 4*l**2 - 2*l**2) - 70*l**3 + 62*l**3 - 90*l**3.\nAnswer: -99*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 298026601 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 2, 8, -5 in descending order.\nAnswer: 8, 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54) - sqrt(864))\/sqrt(3))\/(-2*-1*sqrt(6)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3085206 and 28795256.\nAnswer: 86385768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6*1)\/((-12)\/6*1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 229 = -2*x. Let r = x - -2065\/9. Factor -r - 2\/9*d**2 + 2\/3*d.\nAnswer: -2*(d - 2)*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*d**2*y + 59*d**2 - 7*d*y - 30*d + 2*y wrt d.\nAnswer: -32*y + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7018097*q**3 + 6057529*q**2?\nAnswer: 42108582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 196.4 greater than -2271.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343523 is divided by 5944.\nAnswer: 4715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -14.5. Let p = f - -6.4. Which is greater: p or 0.051?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-191)\/(-4) - (-4)\/16. Suppose -47*q + l*q - 3 = 0. Solve -3*d + 2*d + q = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 806*t - 787*t - 2 + 13.\nAnswer: 19*t + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 6:42 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 231914*c - 1100995?\nAnswer: 231914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/605 (b) 4 (c) -0.4 (d) -2\/3953 (e) 1\/2 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1332 and 6.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45469, 45468, 45459, 45436, 45393?\nAnswer: 45324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6572500 and 2390?\nAnswer: 6572500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2103906 to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {j: 1, m: 1, a: 2, b: 1, s: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, k: 2}. Give prob of sequence kn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**21\/(b**17\/b)*b**(-6\/17)\/((b\/(b\/(((b*b**(5\/2)*b)\/b)\/b)))\/b) assuming b is positive.\nAnswer: b**(107\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4 - 96605*d**3 - 772905*d**2 + 96605*d + 772904 = 0. Calculate d.\nAnswer: -8, -1, 1, 96613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*d + 1\/5*d**4 + 0*d**2 + 0 + 1\/5*d**3 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 449 + -441.03. Let o = j - -0.03. Let h = o + -11. Are 4 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99840?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((12\/4)\/(-3)). Let q be u*(-1 - 0\/(-4)). What is the tens digit of (15 - 1) + -3 - (q + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 4*y - 23)*(-3 - 1 + 2 + (3 - 4 + 0)*(3 - 3 - 1) + 3 - 1 - 3 + (1 + 0 + 1)*(-7 - 12 - 1) - 2 + 9 + 1) in the form g + o*y and give o.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from ggggggttggtgtggggg?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5213 rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1038 - -323833444?\nAnswer: 323833443.8962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 11. Let g = 2 - -4. Let b = g - n. What is the second biggest value in 2, b, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 0 - (1 - 11). Let q be (-2)\/4 - (81\/(-6) + -5). Let v = q - w. Solve -2*m + v = 0, -y + 2*m - 1 = -0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2187) - sqrt(27))**2*4.\nAnswer: 384*sqrt(3) + 6928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8823)\/357 - (-6 - 19).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12010102421 (base 5) to base 9\nAnswer: -27782211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((0 + sqrt(7))*5 + (sqrt(7) + -2*sqrt(7) - sqrt(7))*2 + (sqrt(28) + sqrt(28) + 5*sqrt(140)\/sqrt(5))\/sqrt(4))**2 + 0)*-5.\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 3.9 (c) 0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*q + 9*q - 5*q**3 - 18 - 2*q wrt q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 j, and 1 t when four letters picked without replacement from tppuijg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294 divided by 13.\nAnswer: 294\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -706047 + 3?\nAnswer: -706044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -113965179.84 and -0.1.\nAnswer: -113965179.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2 + 3*x - 7. Let h(i) = i**2 + i + 1. Let y(z) = -3*h(z) - o(z). Let m be y(8). Let w(r) = -r + 26. What are the prime factors of w(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2. Let r(j) be the first derivative of 0*j + 4 - 7\/2*j**2. Determine r(c(n)).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by -23\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 789 + -42. Suppose -5*p - 227 = -h, 5*h + 2*p - s = 280. List the prime factors of h.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 20, -4, -20.5054?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*p - 15 = h - 664*p, -3*p - 9 = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 1 + 2. Suppose -5*s + y*x - 2 = 0, -s + 2*x = x. Let p be (4\/8)\/(s\/(-18)). What is the greatest common factor of 27 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + -1.0440340874293.\nAnswer: -1.0940340874293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 25*g**2 - 77*g - 80. Calculate q(21).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 1. Let a(b) = 6*b**2 + 19*b - 2 + 30*b - 60*b - 4*b**2 + 19*b. What is -2*a(n) - 6*k(n)?\nAnswer: -4*n**2 - 10*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 299179 rounded to the nearest 1000?\nAnswer: 299000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 0\/1 - -453. Suppose -i - 1357 = -3*h, -9*i - 447 = -h - 14*i. Is h >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1400\/(-112)*(-4)\/(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**7\/14 - 77*o**6\/120 - 293*o**5\/60 - o**4\/24 + o**3\/2 + 6*o**2 - 319. What is the third derivative of l(m) wrt m?\nAnswer: 360*m - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8 - 7 + 19 + 2 + s. Let l be f(-2). Is l bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.81492 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 260*r**2 + 26*r + 395. Is j(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3131\/13 - -241. Let q = 9 - 2. Let s = q - 3. Sort u, s, -2 in descending order.\nAnswer: s, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103100 (base 4) in base 3?\nAnswer: -21022100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p + 16 = 0. Suppose 0 = -2*v - p + 48. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.13 + 4.13. Let c = -5.546 - -0.546. What is the third biggest value in c, b, -2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 11:03 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -22*h + 1. Let w(r) = 65*r - 3. Let v(t) = 17*p(t) + 6*w(t). Is 11 a factor of v(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.3, 2\/5, 5, 4\/7, 152, -4\/7, 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60213 - 60118. Suppose -j - 2 = -0. Let n(x) = -9*x + 1. Let l be n(j). Calculate the highest common divisor of a and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-270)*1 + (-239738408)\/(-108). What is w rounded to the nearest ten thousand?\nAnswer: 2220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/4)*n*n)\/n*n**(-3\/5))**(-33) assuming n is positive.\nAnswer: n**(-759\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 753323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 5*c + 1. Let t(z) = 23*z - 5. Let r be t(-5). Let k be 1\/((68\/r)\/(-17)). Suppose -9*m + 4*m = k. Calculate w(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13448 smaller than 26897\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1811, -12211, -39769, -93071, -180703, -311251, -493301, -735439?\nAnswer: -1046251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1344 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38510000 rounded to the nearest one million?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from {z: 3, d: 7}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/22 in -4, -24, 29\/4, -2\/5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2776*k - 2510*k - 625*k + 1433*k - 4763*k.\nAnswer: -9241*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 788960.\nAnswer: 5522720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 35*z. Let r(l) = l**2 - 35*l. Give 4*m(k) + 3*r(k).\nAnswer: -k**2 + 35*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1611*u + 6442. Determine w(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-11) + -2)*7\/14. What is the closest to 0 in t, -4\/7, 0.2, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3262*k - 48476. Calculate n(-15).\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 10. Give w(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -24. Suppose 2*a - 12 = -a + 5*k, 4*k + 8 = 4*a. What is the third biggest value in m, a, -1\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n + 615 = 1707. Let u = 2 - -3. Suppose u*w - 4*w = -4*l + 82, 0 = 4*l + 2*w - 80. Calculate the greatest common factor of n and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -222*d + 219*d + 107, 70 = 3*c - 4*d for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + a**2 - a - 5. Let f be (-1 - 118)*(-1)\/(7\/6). Let z = f + -97. Suppose 4*w = -2*o - 20, z*o + 10 = 3*o - 2*w. Determine d(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-4)*(-8)\/(-36)*-26. What is the units digit of 17528\/364 - (-2)\/w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92*6\/(-504) + 2\/21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 362.9 - 437. Let t = 74 + w. Which is the nearest to 1\/4? (a) 2 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*l + 13. Suppose l*q + 1125 = -q. Let s = -153 - q. Calculate the smallest common multiple of s and 2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 332 + -183. Suppose 4*u - r = -3*k, -k + 31 = u - 5. Let a = u + -5. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466865620?\nAnswer: 2, 5, 13, 43, 41759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*r**2 - 41*r + 11*r**2 + 10*r**2 - r in the form z + k*r + d*r**2 and give k.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63.69 + -63.49. Sort -7, g, 5.\nAnswer: -7, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 5\/2, 2\/11, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000036435373 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 - 59a5307?\nAnswer: -59a52a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13437.266851 + -13371.26685187. Let p = y - 66. Round p to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -9*k + 23. What is the first derivative of 6*u - 7*u - 14 - 23*u**k + 63 wrt u?\nAnswer: -46*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -536, -1368, -2504, -3944?\nAnswer: -5688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -26.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-11 + (4 - -10) - -8)) + -8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*d + 4 = -399*d - t, 5*d - 18 = -4*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 9:52 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/11342 in 0.4, -5, 2\/109?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Let m be 1\/(-2 + 5\/i). Let r be 12\/(-78) + (-67)\/(-13). Solve -4*k - u - 4 = -0*u, -r*u + 2 = -m*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*f**4 - f**3 + f**2 + 918*f - 1 wrt f?\nAnswer: -72*f**2 - 6*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/18 and 125\/3624.\nAnswer: 10872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 85461?\nAnswer: 85468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 995219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278216 is divided by 14641?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42658063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -d2 (base 15) to base 3\nAnswer: -21022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/((y\/(y\/y**(-3\/5)))\/y)))\/y*y)\/y*y**4)\/(y**(-2\/5)\/y*y)**(5\/2) assuming y is positive.\nAnswer: y**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 4. Suppose 4*r + 7 = -p. Let s be r\/18 - 14\/(-12). Which is smaller: s or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1 - (-3)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1133 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 16 = -2*y + y, 0 = -5*y + 5*r - 5. What is the tens digit of 3\/y - (-242)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + 3*(sqrt(891)*1 - sqrt(891) - sqrt(891)) + sqrt(891) + sqrt(891) + 3)*-2)**2 + -4.\nAnswer: -4608*sqrt(11) + 58044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 - 3*m - 2. Let b(n) = n + 9. Let j be b(-11). Let v be s(j). Let f = v - -16. Solve -f*h = -7*h - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -46, 5\/3, 0.67, -3 in increasing order.\nAnswer: -46, -3, 0.2, 0.67, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1\/3 (c) 3 (d) -1344\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(605)*-1 + 1)*-5*2 + sqrt(605) + -3 + sqrt(605)*4 + sqrt(605)*-1 + 3)*6)**2.\nAnswer: -110880*sqrt(5) + 4272480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 353723*d*t**3 - 5*d*t + 93*d - 6*t**2 - 5*t + 55 wrt t?\nAnswer: 2122338*d*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3699536 by 15676.\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98724 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3 + 2436*a**2 + 33810*a + 117992 = 0.\nAnswer: -1204, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7119.08 kilometers to micrometers.\nAnswer: 7119080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**37*g*g*g\/g**(-30)*((g*g**(-34)*g)\/g)\/(g**(-28)*g*g) assuming g is positive.\nAnswer: g**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 + 5)*(-28 + 28 - 9*w) - 7*w - 1 + 15*w + 32*w to y*w + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1282 - 943. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**4\/2 - 57*w**3\/2 - 375*w**2\/2 - 987*w\/2 - 441 = 0.\nAnswer: -7, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1119 + 1139. Calculate the greatest common factor of u and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30430731?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7013 or 7011?\nAnswer: 7011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4332 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 12. Calculate f(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -4, 0.1, 2.\nAnswer: -4, -0.6, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + m + 1 + 1 + m - 1 + (0*m + 0*m + m)*(-3 + 5 - 1) + m - 7 + 4 + 1 + (0 + 1 + 1)*(5*m - 2 + 2) - 4*m + 3 - 3 in the form j*m + c and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 17 = 3*p, 2*p - 35 + 13 = -4*h. Let a be (72\/h)\/(3\/4). Suppose 0 = 5*q - a + 2. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-66)\/8 - -3)*24\/(-18). Solve -27 - 1 = -h*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8288 - 8286. Solve 2*r + 12 = -l, 5*l - 4 + 32 = -i*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**3 + 0*u**3 - 2*u**2 - u - 6 + 2*u**3 + 7. Let y be w(-2). Differentiate -13 + 16 + 3*v**3 + y*v**3 wrt v.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*m - 81 = -s, 7*m - 8*m + 1 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*j - 2 = -1075*j - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzfff. What is prob of sequence fkfz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41443550 (base 6) to base 10.\nAnswer: 1203546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -36*f + 96. Let w(y) be the third derivative of -1\/15*y**5 + 0*y + 0 + 0*y**3 + 1\/105*y**7 + 0*y**f + 1\/60*y**6 + 4*y**2. Factor w(k).\nAnswer: 2*k**2*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3, 3*t = -0*t + 5*a - 409. Let r = 201 + t. Is 9 a factor of (-8)\/2*r\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 3468, 9030, 16816?\nAnswer: 26826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*1*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**7\/70 - z**6\/2 - z**5\/20 + 5*z**4\/2 + z**2 - 735. Find s such that r(s) = 0.\nAnswer: -1, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-55)\/(-3))\/(-5))\/((-128)\/96). Factor -4*d - f*d**3 + 9*d**2 - 16 + 1\/4*d**4.\nAnswer: (d - 4)**3*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -938 = -16*b - 58. Is 55 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6868941 to the nearest integer?\nAnswer: 2621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 25*y - 36. List the prime factors of m(-30).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a + 1. Let s(z) = -20*z - 53. Give s(q) - v(q).\nAnswer: -14*q - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 333, 2, 3, -2\/17, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**3\/3 - 9*o**2\/2 + 6*o - 12. Let m(f) = f**2 + 15*f - 35. Let y be m(-17). Let k be (9\/(0 - y))\/(4\/(-4)). Give a(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oup when three letters picked without replacement from uouuiuupooouuuuuooop.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 5, -1, 118 in ascending order.\nAnswer: -1, 5, 24, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = -0*x. Suppose -x*a = -7*a + 39. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153532 to the power of 1\/2, to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4428, -4\/9 in ascending order.\nAnswer: -4\/9, 0.1, 4428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11\/44 + 126\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.12.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 21 = 19. Suppose 4*w - 32 = -5*g, 7*g - r = -w + 2*g. Find the second derivative of -a + w*a + 2*a**5 - 5*a**5 wrt a.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/(3\/(-6)). What is the remainder when 37 is divided by s\/((-3)\/(-171)*3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*m - 6384 = 70*m - 327*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (102\/85)\/((-16)\/480)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4*(11 - 13). Suppose -2*r - 4*d + 0*d = -34, -r = -5*d - q. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 78165 and -5.\nAnswer: 78160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*t + 15 = 4, 0 = -t + 4. Let i = 1 - 2. Let f(b) = b - 1. Let y be f(-7). Sort w, i, y.\nAnswer: y, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.31 + 8. Let b = 0.689 - f. Round b to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.163 - 0.363. Sort a, 0.05, 2\/7 in descending order.\nAnswer: 2\/7, 0.05, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/12)\/(11\/(-66))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5 = 0, -4*k + 5*u - 5 = -6*k. Suppose k = 14*p - 12295 - 4533. What are the prime factors of p?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 6*w + 218. Suppose -n - 4*n - 250 = 4*q, 0 = -5*n + q - 225. Which is greater: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 0 + 5*g**2 + 3 + 2*g**2 - 6 + 3*g. Let r be a(1). Let h(i) = i**3 - 8*i**2 + 5*i + 6. Let s be h(r). What is the nearest to 1\/3 in s, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-162)\/15)\/(0 - (-15)\/(-50)). Suppose -p*u = -38*u + 504. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3547, -3180, -2875, -2632, -2451, -2332, -2275?\nAnswer: -2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -21. Suppose -5*t - 32 = -4*z, z - t = 2*t + j. Let r(x) = 4*x - 4. Does 3 divide r(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2 - 40*g = 0. What is g?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*h - 25895721 = 38904302. Is h 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 (715\/(-1560) - 2\/(-16))\/(2\/(-16842))?\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41116 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: Does 434 divide 1968548427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -65, 5, 39, -7, -35, 2 in descending order.\nAnswer: 39, 5, 2, -1, -7, -35, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 1, o: 2, b: 4, u: 7, n: 2}. What is prob of picking 2 b and 1 o?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 7:23 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 3. Let u be v(-6). Let c = 320 + -317. Suppose 0*f + c*f = u. Solve 0*k = -k - f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8707191 or -8707200?\nAnswer: -8707191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 - (1 - 2 - (-1734 + 1707))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-22)\/(-4) + -5 - (-17800)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9268?\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24172, 48083, 71746, 95161, 118328, 141247?\nAnswer: 163918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187 - 183. Solve -a*u = -3 - 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*(5 + sqrt(450)*1)*3)**2.\nAnswer: 1749600*sqrt(2) + 5540400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + 3*b**2 + 13*b**3 + 2*b**3)*(-1 - 2 + 6)*(-4 + 0 + 3).\nAnswer: -45*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -22) + -10 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -15\/156794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5573046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*b**2*j*p**2 + 102*b**2*p - 30*b*j*p**2 - b*p**2 - 7*p**2 wrt j?\nAnswer: 11*b**2*p**2 - 30*b*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 17, -0.015, -20, 0.042, 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 365*j**3 + 5714*j**2 + 25021661 wrt j.\nAnswer: 1095*j**2 + 11428*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -114*u + 10. Let y(f) = -8*f**2. What is m(y(o))?\nAnswer: 912*o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1138256 and 896.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**5\/60 + 3*i**4\/8 - i**3\/3 - i**2. Let b be t(6). Suppose -3*g + 7*g = b. Solve 0 = g*h - h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2716 = 12*o + 964. Let w = o - 132. Calculate the remainder when 110 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132805 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 22 + -1 + -33 - -23.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14793?\nAnswer: 3, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 120*z**2 + 0*z**2 - 16*z**2 - 19*z**3 + 20*z**3 + 18*z**2 + 4*z to the form g*z**3 + q*z**2 + v*z + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 16. Let o(f) = 3*f**3 - 16*f**2 - 16*f + 27. Let l be o(6). What is the closest to 0.1 in b, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60410 (base 9) to base 6\nAnswer: 503443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85097 by -10.\nAnswer: 85097\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*v - 54 = 0, -5*h - 478*v + 18 = -480*v - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21247 - -275649\/13. Let d = g - -4373\/78. What is the common denominator of d and -1\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/84*-30*(-18)\/1296)\/((-195)\/(-78)).\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-2 + -2) + (0 - -2). Put 5, 0, w in increasing order.\nAnswer: 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n = -2*s - 14, 3*s - 5*n + 21 = 0. Let p = s - -19. Let r be (9\/3 - 1)*(-2)\/(-2). Solve -j = r*j + p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 1. Let t(b) = 42*b**2 + 2*b - 3. Let j(h) = 4*c(h) - t(h). Calculate the common denominator of -37\/10 and j(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 6*q**2 - 7*q. Let b be 4\/(-6)*(-168)\/(-16). Let y be h(b). Suppose 2*i - 2 - 4 = y. Let z(p) = p**3 - 3*p**2 - 3. Determine z(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3*1\/(-12))\/(5\/(-12)). Sort 1\/2, f, 0.3, 1 in decreasing order.\nAnswer: 1, 1\/2, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/13 (b) 870 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*v - 3. Let u = v + 1. Suppose -u*d - 20 = -5*d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 44 = -6*d. What is the remainder when (-9)\/1*(-2 - -1) is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2604?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 139563 and 2?\nAnswer: 279126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l + 69. Let i be z(-28). What is the hundreds digit of (-204)\/(-10)*(5 + (-775)\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 947.6*0.03.\nAnswer: 28.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -b + 2*b - 4738, b = -2*q + 4734. Suppose 5*v = 0, 4*v + 4714 = -4*o - b. Let y = -1293 - o. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v + 11. Let g(d) = d + 1. Let p(o) = o**2 - o - 4. Let c be p(2). Let r(q) = c*w(q) + 22*g(q). Let i(h) = 5*h - 3*h - 2*h + 14*h. Give r(i(f)).\nAnswer: 28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*a**5 + 0 - 2\/3*a**4 + 0*a + 4\/15*a**3 + 0*a**2 = 0. Calculate a.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + x**3 - 4 + (-5*x**2 + 3*x**2 + 4*x**2)*(-x - 2 + 2) + (3*x**2 - 4*x**2 + 2*x**2)*(-x + 5*x - 3*x) - x**3 - 2*x**3 - x**3 + x**3 - 4 + 4.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127090 is divided by 238?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*p**3 + 28*p**3 - 2 - 5*p + 4*p as k*p + y*p**2 + s*p**3 + i and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5098 a factor of 237908922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - -0.8. Let o = 4 - n. Let m be 24\/(-20) - (-9)\/45. Which is the second smallest value? (a) m (b) o (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 10:48 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/4)\/((-24)\/160*-5). Suppose 0 = 2*f + g*q + 2 - 80, 0 = -3*f - q + 107. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 3*t + 5*f + 36, 0 = t + f. Is 1*392 - (t - (2 + -1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31228, -59619, -88024, -116449, -144900, -173383, -201904, -230469?\nAnswer: -259084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-7) + 16\/(-896)*-4*-556.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 1. Let d(c) = -4 + 0*c - 4*c + 5 + 3. What is d(n) + 5*q(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 2*o**2 - 73*o**3 + 2*o**2 + 79*o**3.\nAnswer: 6*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 17035*q - 426549. Give g(-25).\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3022301 (base 4) to base 3\nAnswer: 122210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 603.\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 9, 5*v + 62 - 17 = 5*s. Solve 48*m - s*m**4 + 8*m**3 - 6 + 4*m**2 - 56*m + 8*m**4 = 0 for m.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**2 + 8624750*m + 3719315628125 = 0.\nAnswer: -862475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.089297 rounded to three decimal places?\nAnswer: 1.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 2 + 35 - 24\/(4 + -8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvjj when four letters picked without replacement from {j: 2, v: 9}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a + 3*u + 18 = 0, a - 5*u - 20 = 0. What is the hundreds digit of 6588\/30 - (-3 - (-39)\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + -15)\/((-2)\/3). Let v be (-18)\/f - (-206)\/10. Solve -5*s = -s + v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-20)*30\/6. Is (-97482)\/(-220) + d\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 633*m**2 - 42 + 80.\nAnswer: 633*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {k: 2, n: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4937374317 to the power of 1\/5, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -5*a - 45 + 23, a + 10 = -2*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.840368 tonnes in nanograms?\nAnswer: 2840368000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -y - 4, 4*y - 16 = 2*y + 4*m. Let p = 1265208 - 781582. Suppose 656374 + p = y*h. Round h to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 0)*(3*s - 3*s - s**2) - 3 + 2*s**2 + 3 + 14*s**2 + 29*s - 29*s)*(-6*s - 3 - 1 + 2).\nAnswer: -108*s**3 - 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/30 + 8\/(-20). What is the nearest to 1 in v, -1\/6, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:33 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092477135.\nAnswer: 3, 5, 43, 1693763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1740 and 255?\nAnswer: 29580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.999017 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1762953?\nAnswer: 3, 19, 157, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 - 7 = 4*u, 6 = -3*m - 3*u. Let y = m + 4. Let o(n) = -5*n**2 - 8*n - 4. Let r(j) = j**2 + j + 1. Let f(s) = y*r(s) + o(s). What is f(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -0.19 (b) 0.17 (c) -0.4 (d) -4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 12*p + 7. Let d(q) = 34*q + 22. Determine -3*d(f) + 8*v(f).\nAnswer: -6*f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**3 - 18*b**2 - 734*b - 2221. Determine m(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 32475355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 20*d - 38. Let h be l(-18). Let n be (h\/(-4)*541)\/((-1)\/(-8)). Let o = 681 + n. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -157 - -223. Let s be (-318)\/z + (-4)\/22. Let o(r) = r + 7. Give o(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1528837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 10:19 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 248417338 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 5. Let n be o(8). What is the derivative of 0*g + 7*g - n*g - 2 + 3*g wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b - 5. Let j(r) = -6*r - 6. Let w(v) = 7*i(v) - 6*j(v). Suppose 0 = -6*q + 3*q. Let m be w(q). Solve u - 3 = -m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 7*i + 80. Give r(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a - 93 = 0. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 43*x - 17. Let d(l) = -15*l + 6. Let k(v) = -17*d(v) - 6*y(v). Let h be ((-14)\/(-2) + 2)*1. Let p(u) = -13*u + 1. What is h*k(i) - 2*p(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1473*n + 219625. Calculate z(149).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 226 + -378. Let q = -152 - g. Solve q*k = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 435\/(-25)*(-165)\/(-99).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 11) in base 7?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x - 13*x**2 - 2*x + 4*x**2 - 15417 + 15417 + 8*x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -24322140 (base 5) to base 8\nAnswer: -700446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3382, -4719, -6056, -7393, -8730, -10067?\n\"Answer: -1337*d - 2045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) -2\/33 (c) 2 (d) 1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -860671 - 1176129 = 38*i. Round i to the nearest one thousand.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36*14\/29106*22\/(-36)?\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.637 and -0.2.\nAnswer: 0.1274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111010112121 (base 3) to base 11.\nAnswer: -1389337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 958740\/80 + (-14)\/56 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5614308 by 89116.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 34 = 50. Suppose -4*s + 262 = 5*d, 0 = 2*d - 2*s - 66 - f. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54885*t**3 + 2*t**4 + 2 - 5*t**4 + 54888*t**3 as b*t**4 + m*t**3 + x + h*t**2 + z*t and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443 - w**3 + 1398*w - 164 + 0*w**3 - 1398*w.\nAnswer: -w**3 + 279","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-1)\/(-5))\/(45561\/(-1214960))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 453*a**4 - 3*a**2 + 3*a**2 - 454*a**4 - 7*a**3 - 4*a to the form u*a**4 + q*a + x*a**2 + w + z*a**3 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (952\/(-10))\/((-10)\/425) + -3. Suppose p + 4*p = -f + 4034, f - m = -2*p. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 98*j - 62*j)*(0 - 4 + 3) - 5*j + 3*j + 0*j + (4 + j - 4)*(1 + 0 + 2).\nAnswer: 159*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 210*u**3 + 759*u**2\/2 - 84*u - 6 = 0.\nAnswer: -2, -2\/35, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 1 + 1)*(2*p**2 + 4*p**2 - 4*p**2) + (-2 + 2 + p**2)*(-p - p + 5*p) in the form f + m*p**3 + k*p + b*p**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g - 3*g**2 - 172 + 67 + 28 to z*g**2 + r + a*g and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 13*n - 126. Let a be k(30). Let t = -499 + a. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.414 - 0.014. Let o = y - 2.400000004. Round o to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 - 88*p + 216. Give n(25).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37474580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 132 = 3*u. Let r = u - 5. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107122 - -155980. Suppose -y + 0*y - 5*n = -2122, -5*y = -n - 10714. Let p = v + y. What is p rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 26*x + 6. What is the remainder when 286 is divided by k(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2\/13*o**2 + 136\/13*o + 264\/13 = 0.\nAnswer: -66, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7391672428?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(100\/(-4)))\/((-8)\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 15*r + 6. Let k be f(-2). Let c be k\/9*21\/(-14). Solve m + c*m = 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, t: 12}. What is prob of sequence tjjt?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 19*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*w + 2*j - 10, 28 = 4*w - 4*j. Let n be -370*(0 + 3\/(-6)). Suppose -n = -w*a + 3*t, 3*t - 185 = -5*a + 2*t. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 2*r**2 + 2. Let d(z) = 5*z**3 + 7*z**2 + 6. Let f(t) = 4*d(t) - 13*q(t). Calculate f(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5558.\nAnswer: 2, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -273, -840, -1919, -3678?\nAnswer: -6285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 7*d + 1 = 0. Let w be 266\/(-57) - d\/3. Let v(f) = -f**3 - 6*f**2 - 6*f + 5. Does 2 divide v(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 divided by -9896\nAnswer: 41\/4948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 10*o - 7. Let f be z(9). Suppose -g - 976 = f*g - 5*i, g + 4*i = -348. Let n = -203 - g. What are the prime factors of n?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5 + 91477*l**4 + 2112035200*l**3 + 913702750884*l**2 = 0. Calculate l.\nAnswer: -45518, -441, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -2\/3, -9, 1, 3, 3\/733, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -559.91727129 + 819.91726992. Let z = b + -260. What is z rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**2*y + 3159*u**2 - 17*u*y**2 + 414*u + 183660*y**2 + 3 wrt y.\nAnswer: u**2 - 34*u*y + 367320*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-5))\/((-7)\/105). Suppose -i - 10 = -5*b - f*i, -3*b + 5*i + 46 = 0. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68\/9 - 133\/18. Let j(n) be the second derivative of -1\/42*n**7 - f*n**3 + 1\/3*n**4 + 0*n**2 + 0 - 3\/10*n**5 + 2\/15*n**6 - 2*n. Let j(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41557, 41528, 41459, 41332, 41129, 40832, 40423, 39884?\nAnswer: 39197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8372378 tonnes in kilograms?\nAnswer: 837.2378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1312 rounded to 3 decimal places?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 3*v + v - 97, 519*v = -13*i + 521*v + 109 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 3. Suppose n - 16 = -q, -2*q - 67 = -g*q - 5*n. Suppose 0 = 2*p - 3*h - q, 6*p + 5*h - 81 = 2*p. What is the remainder when 26 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-84)\/(-14)*6\/(-4)*-2. Let q(c) = k*c**2 - 15*c**2 + 8*c**2 + 9*c**2. Let r(w) = -9*w**2 + 16*w**2 - 6*w**2. Determine r(q(x)).\nAnswer: 400*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*c**5 - 3*c**5 + 7*c**5 + 6*c - 7*c**5 wrt c.\nAnswer: -260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + l - 4. Let z be g(-4). Calculate the greatest common divisor of 56 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43, 82, 121, 160?\n\"Answer: 39*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 6*d + 11. Let o be b(-4). Solve 4*p - 18 = -3*u, 5 = -u - o*p + 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaxiaxy. Give prob of picking 1 a, 1 y, and 1 x.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*p - 7775 = 17916 + 2629 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6 = -14. Let i = 0.6 - 0.5. Which is smaller: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163991147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 less than -0.0366?\nAnswer: -35.0366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*j + 280*j = -45*j + 27200 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1861*z**5 - 145*z**3 - 93*z**2 + 180282214*z.\nAnswer: 37220*z**3 - 870*z - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 538, 1267, 2306, 3661?\nAnswer: 5338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-15) + ((-16)\/(-12) - -1). Solve -i*c + 4*y = -8, 5*c - 6*y = -y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*g + 67*g - 137*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/5)*l)**(-31)*(l**(1\/8)\/l)**(-13\/5))**47 assuming l is positive.\nAnswer: l**(-65659\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/20 and (-34)\/24 + (-99)\/(-231).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -246, -284, -268?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104508 and 84?\nAnswer: 731556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 106 = 127 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87125*v**3 + 202757 with respect to v.\nAnswer: -261375*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0 (c) 0.3 (d) 2\/21 (e) -3\/8 (f) -1\/5899\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*q**2 + 7*q - 11*q + 18*q**2 + 2*q to l*q + i + d*q**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 35 = z + 5*b, -3*b + 8 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.991*-5\nAnswer: 14.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 7:43 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4928626253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.002 + 0.002. Which is the closest to 2\/3? (a) -2\/13 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i - 9*i + 30*i - 7*i - 8*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 194547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/37)\/((-3)\/15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 96*l**2 - 204*l - 104.\nAnswer: 4*(l - 26)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + -0.49. Let v = -3.26 - -3.56. Put v, l, 11 in descending order.\nAnswer: 11, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**5\/20 - f**4\/4 + 2*f**3\/3 + 3*f**2 + 5*f. Let r(x) = -2*x**2 - 11*x + 2. Let v be r(-6). Give d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(1120\/(-18))*(-17690)\/3538.\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -585461 or -585389?\nAnswer: -585461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29, -52, -75, -98, -121, -144?\n\"Answer: -23*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 1)*(-21 + -4). Let a = g - 15. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**2\/4 + 193*i\/2 + 7458 = 0?\nAnswer: -66, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(12) - sqrt(108)))\/sqrt(10) + -6*sqrt(12) + (-2*sqrt(3))**2 + 2.\nAnswer: -25*sqrt(3)\/2 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616345215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 33587012?\nAnswer: 33587008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 1 = j, 2*l + 9 = l + 4*j. Let o be (-2 + l)\/6*-2. Let c(p) = 7*p**2 + p. List the prime factors of c(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 2*j**2 + 3*j. Let s be n(-3). What is the lowest common multiple of 0 - s - (1 + -4) and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12621542485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30368 + -3750. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 381692 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/11)\/(22\/176*12)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 746193 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s**3 - 6*s**3 - 9*s**3 + (-4*s**2 + 2*s**2 + s**2)*(-2*s + 2 - 2) + 0*s**3 - 2*s**3 + 4*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -351*r**3 - 2*r**2 - 8313*r - r**2 + 144*r**3 - 372*r**3 - 273*r**3 wrt r.\nAnswer: -5112*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - x - 1. Let u be z(-1). Suppose c = -c + u*b - 2, 18 = 2*c + 2*b. What is the lowest common multiple of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*((((m\/m**(2\/3))\/m)\/m)\/m*m*m)\/m*m)\/m*m\/((m*m**(1\/8))\/m*m*m))**(-1\/4))**10 assuming m is positive.\nAnswer: m**(95\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f**2 + f + 9. Let y be g(0). Let i be (-30)\/y*(-168)\/10. Let b = 7 + 0. Calculate the highest common divisor of i and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) 3\/8 (c) -3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 26 = -4*d. Let h = -10 - d. Suppose -h*c - 5 + 38 = 0. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54380844 divided by -6?\nAnswer: 9063474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -12*c**2 + 401*c + 92. Let h be d(34). Let t be -2*74 - (0 + -1). Is t at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 32400, 0, 4, 2, 9 in descending order.\nAnswer: 32400, 9, 5, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26273?\nAnswer: 13, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from vwvavavwwavvwvavahw.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77.02523l?\nAnswer: 77025.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -169.7034 to the nearest integer.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 4)*1\/(-2). Let j(d) = -10*d**2 - 2*d - h + 0*d + 12*d**2. What are the prime factors of j(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -198 > -199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, z: 2, v: 10, o: 4}. Give prob of sequence vzzc.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/43? (a) -1\/4 (b) -0.0466 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 1 = 2*b + 5, -5*t + 2*b = -3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 41247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -3.4. Let o = f - 3.1. Let p = 155 + -150. Which is the nearest to 1? (a) -5 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8 - 1.4. Let m = -0.52 + 0.02. Let h = -0.3 - -0.2. Which is the nearest to h? (a) d (b) 0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00033703151 rounded to 6 dps?\nAnswer: -0.000337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1224 is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (182\/(-98) - -2) + 12\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 280*y**2 - y - 2. Let z be f(-1). Suppose -278*d = -z*d - 2. Which is the second biggest value? (a) d (b) -74 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/14130 and -29\/9420?\nAnswer: 28260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -43547*i + 3 - 2 + 43548*i. Suppose 0*c - c - 4 = 0. Give a(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 7943260?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/26 and 97\/416.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((5 - 4) + (-2 - -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 12*c - 98. Let a(h) = 28*h - 224. Let n(t) = -7*a(t) + 16*f(t). Let u(p) = -1119*p + 2. What is u(n(r))?\nAnswer: 4476*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -60, -59, -58, -57?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**4\/78 + z**3\/39 + 2*z**2\/13 - 7*z. Factor b(g).\nAnswer: -2*(g - 2)*(g + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73333*q**4 - 56150 wrt q?\nAnswer: 293332*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.048, -44, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -19*f**4\/8 - 5*f**3\/6 - 21*f**2. Let i be g(-2). Suppose -2 = y - i. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 + 1 - 1 + (-p - 5*p + 4*p)*(1 - 1 - p) - 89*p**2 - 58*p**2 + 328*p**2.\nAnswer: 185*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27416357 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -382 - -778. Suppose -6*h + v = -4*h - 5*x, 5*h - 1009 = 3*x. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)*2)**2*2 - (((2*(sqrt(5) + 1 + sqrt(5)) - sqrt(5) - sqrt(5)) + sqrt(5))**2 + -3)) + -1.\nAnswer: -12*sqrt(5) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - f - 1, -5*f - 15 = j + 2. Calculate the common denominator of (-188)\/6*j\/4 and 123\/(-14) + (-2)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-10)\/8)*30. Suppose -l = -g + 7. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -8, -110713 in ascending order.\nAnswer: -110713, -8, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/4 and -22\/85.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4518, 18069, 40650, 72261, 112902, 162573?\n\"Answer: 4515*s**2 + 6*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880746*s - 881047*s - 24983 = 0 for s.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -48\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14126412 divided by -4\nAnswer: -3531603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 5, c: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**7\/3780 - x**6\/360 + x**5\/90 - x**4\/3 + 2*x. Let d(h) be the third derivative of y(h). Factor d(m).\nAnswer: 2*(m - 2)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 698031 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1686 divided by -3.\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6944639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219736 is divided by 109802?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2\/3*o**2 - 40\/3*o - 250\/3 = 0?\nAnswer: -5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19.232 and -0.1.\nAnswer: 19.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16759 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8171493 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8852917 and 182629.\nAnswer: -8670288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/h)**40*(h*h\/((h**(-2)*h)\/h*h))**(5\/13)*(h**(2\/5)*h*h**(-1\/18)*h)**(3\/26) assuming h is positive.\nAnswer: h**(-61289\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1401093 divided by -28.\nAnswer: -1401093\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p + 3. Let q = 10 + -3. What is the remainder when d(-4) is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**10)**(5\/7)*(d*(d\/d**(-2\/15))\/d)**(-16) assuming d is positive.\nAnswer: d**(-1154\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 7*c - 8. Let g be u(8). Suppose -2*h + g*h = 2. Which is bigger: 2\/19 or h?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/180 + x**4\/72 - x**3\/3 + 11*x**2. Factor i(y).\nAnswer: (y - 2)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -288? (a) 160\/9 (b) -0.3 (c) 2\/9 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/30*2 - 146\/(-30). Suppose -4*o + 17 = 3*p - 0*p, 0 = p + o - t. Let -12*b - 17*b**3 + p*b**2 - 12 + 20*b**3 + 0*b**2 = 0. What is b?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7 = -g, -5*g = 3*r + 2*r + 20. Let a be (-12)\/(-8) + 1\/2. Let m be a\/4*4\/(-10). Sort m, 1\/4, g.\nAnswer: g, m, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 2*i**3 + i**2)*(-1 - 6*i + 4 - 2) - 13*i**4 - 115*i**4 - 8*i**4.\nAnswer: -148*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v = 4*x - 3, 5*v - 13 = -4*x. Let f = 114 - 114. Solve f = 3*k + x*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((60\/(-16))\/(-5))\/((-6)\/(-16)). Suppose -6*h + 272 = -m*h. What is the greatest common factor of 102 and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*q + 54, 2*q - 40 = 3*l + q. Let r = 16 + l. Suppose 1 = 5*i - z - 24, r*i + 3*z + 3 = 0. Solve 7 = i*n + 3*p, 0 = -n - 0*n - p + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 - 2*o - 5. Let n(d) = -2*d**2 + d + 3. Let s be (-8 - -1)*(7 - 8)*1. Determine s*n(p) + 4*y(p).\nAnswer: -2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 280*z**2 + 71*z + 275*z**2 + 66 - 557*z**2 with respect to z.\nAnswer: -4*z + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192*-1\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55166829*z**2 - 54630748*z.\nAnswer: 110333658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 35. Let m = i + -9. Let g = 23 + m. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 100 (b) 4 (c) 1\/67 (d) -0.4 (e) 80 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*w - 10, 2*q + 11 = -2*w + 15. Let z(x) = x - 11. Determine z(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 20*(3 - 188\/60). What is the second biggest value in 3, -3\/2, 5, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6752170063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -5854457?\nAnswer: -5854454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**6\/120 - 7*m**5\/60 - 7*m**4\/24 + 2*m**3\/3 - 2*m**2. Let q be 4\/2*(-42)\/28 + -3. Determine h(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37099 + -36865. Let k be 938\/6 - 2\/6. Calculate the highest common divisor of r and k.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2 + 58*z - 60 = 0.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12942308?\nAnswer: 2, 3235577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*h = -262*h + 414 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128371 is divided by 376117.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(sqrt(1584) - (1 + sqrt(1584))) + sqrt(1584) + ((sqrt(1584) - (sqrt(1584)*-2 + 4)) + sqrt(1584))**2 - (0 + (0 + sqrt(1584))*2 + 4)**2.\nAnswer: -564*sqrt(11) + 19005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5 - 1. Which is the closest to w? (a) 0.1 (b) -3\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2664.76554s in days?\nAnswer: 0.03084219375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7*101\nAnswer: -707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5.7. Suppose -75*u - 3 = -78*u. Sort -0.5, u, t.\nAnswer: -0.5, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64438900 a multiple of 2620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 123, 3, -1 in descending order.\nAnswer: 123, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l*l)**(-40))**(-4\/21)\/((l**(-3\/7)\/(l\/l**(-2\/17)))\/(l*l**(2\/3)*l)**0) assuming l is positive.\nAnswer: l**(2904\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190191*t**2 + 380329*t**2 - 190129*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*z - 3*c, c = z - 0 + 3. Suppose 14 = 2*y + 2*l, y - z*l - 3*l = 13. Is (406\/6)\/(y\/24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-17)*k\/(k\/k**(-12))*k**17\/k*k*k*k**(-8)\/k*k assuming k is positive.\nAnswer: k**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eygg when four letters picked without replacement from gvvlvkyyvgvyvge?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -7. Suppose -4*j = 3*i - 6*i + 4, 3*j - i - 2 = 0. Suppose -j*f = -f - 3*u, -4*u = 0. Solve h + f*h = -x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 19 - 42 - 29 = 3*d, 0 = -d + 7*j + 126 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163 + -94. Let h = -68.99951 + o. Round h to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0662 and 127.\nAnswer: 8.4074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2633405 is divided by 173.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -18*b + 684. Calculate the greatest common divisor of b and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (14 - 2) - -4) + -56 + 79?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13308 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 12175*t - 72. Let q(c) = 333302798*c - 1971054. Give 109503*h(a) - 4*q(a).\nAnswer: -12167*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-10)*61\/244.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 55.5. Let i = -0.17 + -68.83. Let z = 69.2 + i. Put 2, z, y in descending order.\nAnswer: 2, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5854869 to three decimal places.\nAnswer: 1.585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/27597 and 10\/3063267.\nAnswer: 3063267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8 = j. Sort -10, j, 1 in descending order.\nAnswer: j, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, 2, -5, 64 in increasing order.\nAnswer: -5, 0.4, 2, 3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 8) in base 4?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -61291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87698?\nAnswer: 2, 13, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348159573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0369157 to four dps.\nAnswer: -0.0369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5847, 11687, 17527, 23367, 29207?\nAnswer: 35047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d**2 - 850*d + 21383. What is g(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -78155.2064 and 0.05?\nAnswer: 78155.2564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33347\/1596 - 251\/12. Let p = -132461 - -132461. Is o smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 5*g - 36. Let f be d(-17). Let h = -289 - f. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {h: 1, v: 4, e: 1, u: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + 51\/4)*(-8 + 32). Solve -c = 55*g - 44*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-21)\/(-18)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*b - 2*b + 3*l + 3, 4*b - 5*l = 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -70970835 divided by -10569?\nAnswer: 6715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 699625 - 699625. Factor -1\/3*y**2 + 28\/3*y + l.\nAnswer: -y*(y - 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 6:53 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 - 3) + (-6 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0893+0.13\nAnswer: 0.2193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 779872731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (204\/(-510))\/((-13)\/(-5)*2).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-24)\/(-456) + (-721389)\/(-57).\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648451 is divided by 1118.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25780 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 21*x = -16*x + 30, 0 = 2*o - x + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 8 - 6*s + 0*s**2 + 1\/3*s**3. Let y(n) be the first derivative of l(n). Let o(r) = r. What is o(y(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/2119 and -1\/978.\nAnswer: 12714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -912 by 6.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 9) to base 5.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3962*f + 3790*f + 9976 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = -0. Suppose -3*n = -0*n - 2*h + 36, -4*n - 68 = w*h. Which is smaller: -13 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19572 divided by 466.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d - 1\/3*d**3 + 0 + 0*d**2. Let m(p) = 7*p + 5. Let k(y) = 4*y + 3. Let o(q) = 10*k(q) - 6*m(q). Calculate o(s(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360207 is divided by 3791.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -34 and -0.3334506949766.\nAnswer: -34.3334506949766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 75 = n. Let d = -4 - n. Suppose 0*i - 3*i = -d. Solve -i*q + 5*q = -8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 16. Sort -1, s, 16, -5 in decreasing order.\nAnswer: 16, s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 310*p**2 - 120 - 117*p**2 - 147*p**2 - 24*p**4 - 462*p**2 + 388*p + 172*p**3 = 0.\nAnswer: 2\/3, 1, 5\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, s: 1, b: 7, n: 5}. What is prob of picking 3 l and 1 s?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 9)\/((-2)\/(-10)). Let p be 190\/l - 2\/(-4). What is the remainder when 87 is divided by (-5)\/p + (-61)\/(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 11146131?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/11 and 67\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -14 + -19 - -14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Let z = 3.83 + 0.17. Let l = 0.138 + 1.862. What is the closest to x in l, z, -2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -2*l**6\/5 + 3*l**5\/20 + 4*l**4 - 2*l**3 + 37*l + 3. Factor q(k).\nAnswer: -3*k*(k - 2)*(k + 2)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211628 + 105801 + 5*t + 105826.\nAnswer: 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4201404 (base 6) in base 14?\nAnswer: -53b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63.42 - -64. Let g = j + -0.5. Let k = -3.92 - g. Which is the second smallest value? (a) k (b) 2\/13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (92 + -30 + -5)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(4*(-1*sqrt(77) - sqrt(77)) - sqrt(77)*-1*5))\/((sqrt(891) + (sqrt(891) - (sqrt(891) + sqrt(891) + (sqrt(891) - -4*-3*sqrt(891)))))*-2))**2.\nAnswer: 175\/4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*2)\/sqrt(9) - (sqrt(1300) - (1 + 0 + sqrt(1300)) - sqrt(1300)))**2.\nAnswer: 28*sqrt(13) + 2549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (234*h + 362*h - 447*h)*(0*h - 2*h**2 + 0*h) to s + m*h + w*h**3 + u*h**2 and give w.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 10:21 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.31 plus -117?\nAnswer: -128.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7 = 2. Suppose 4*y - 118 + 31 = 5*p, -j*y + 165 = 5*p. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7235 - -7237. Solve -5*o - 2*w + 25 = 0, 3*o - w = -n*w + 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 1, s: 4, t: 2, r: 2}. What is prob of picking 1 t and 1 r?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 24 + 12 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**2 - 13*n - 13*n**2 + 13*n to l*n**2 + a*n + v and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 2:40 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.059816948 - 0.252853.\nAnswer: -0.193036052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Suppose -2*i + 27 + 43 = b. Let y = 106\/3 - i. What is the third biggest value in 0, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 9:31 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2, 13, -3, 0, 9.\nAnswer: -25, -3, -2, 0, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 0*u**2 - 3*u**2 + (-2 + 1 + 2)*(-u**2 + 2 - 2) - u**2 - 2*u**2 + 2*u**2 + u**2 - 3*u**2 + 3*u**2)*(7*u**2 + 3*u**2 - 4*u**2).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 14*b**2 + 109*b + 79. Calculate z(-8).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 6*w**2 - 56*w + 18. Let z(v) = v - 4. Let i(q) = -2*j(q) + 28*z(q). What is i(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a. Let c(z) = 661*z - 9. Give t(c(h)).\nAnswer: -1322*h + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Suppose -5 = v - g. Let d(i) = -i + 3. Let l be d(v). Which is smaller: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2810 - -2803)*1\/((-14)\/(-80))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 7. Put v, 3, 1 in descending order.\nAnswer: 3, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2364, 56870 in increasing order.\nAnswer: -2364, 5, 56870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 3*s**2 - 5*s - 3. Calculate the remainder when 62 is divided by k(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*t - 22 = 2, 5*j + 5*t + 35 = 0. Let r(c) be the third derivative of c**6\/120 + c**5\/20 - c**4\/24 - c**3\/3 + 6*c**2 + 4. Give r(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 395, 0, 0.07, 6, -0.2.\nAnswer: -0.2, 0, 0.07, 6, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-4)*i)\/i**(-16))\/((i\/(i\/((i\/((i*i**(-6)*i)\/i)*i)\/i)))\/i*i\/(i\/i**34)) assuming i is positive.\nAnswer: i**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) -1 (c) -0.4 (d) -34.69 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}