{"text":"Question: Suppose -3*k + 15 = 0, 0 = m - 5*m + 2*k + 14. Let s be -3*2\/m*-4. Suppose -2*v + 5 = v - 5*p, 4*v - 4*p = 12. Solve -2*z - 3 = g, -v*g - s = -2*z + 23 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**2 + 8*z + 8. Suppose -y + 10 = -3*y. Let c be g(y). Let p be (2\/(-5))\/(c\/70). Solve -2*h = 3*s - s, 0 = 2*s - p*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4435 + -4468. Put k, -1, -47 in decreasing order.\nAnswer: -1, k, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -a5 (base 11) to base 14\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -157 - -75. Let p = 84 + w. Let r be -2 + 1 - 9\/(-11). Which is the closest to 0.1? (a) p (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**3 - 5*p**2 + 3030*p + 28400. What is a(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 477028 or 477030?\nAnswer: 477028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(4\/7)*f)\/f*f**(2\/5)*(f\/(f*f\/((f**(-1)*f)\/f)))\/(f*f*f**(-3)))\/((f**5*f*f**1)\/((f\/f**(2\/19))\/f**3)) assuming f is positive.\nAnswer: f**(-6074\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let b = 328 + -257. Let m = b - 71. What is the third smallest value in m, 25, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**(-1\/2))**(-3\/40)\/((d**(4\/3)*d)\/d**(-2\/19)) assuming d is positive.\nAnswer: d**(-11291\/4560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 285 = 3*a, 0 = 3*a - 0*l - 5*l - 264. Let j = a + -90. Solve -2*h = -5*h - j*t - 12, -7 = 4*h - 5*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 16, 689, 5, 4\/3 in decreasing order.\nAnswer: 689, 16, 5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -161, -75, 63, 247, 471, 729, 1015?\n\"Answer: -k**3 + 32*k**2 - 3*k - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 2 q, and 1 r when four letters picked without replacement from {q: 5, k: 3, m: 1, b: 4, r: 1}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = -j - a + 38, -5*j = 5*a - 230. Let g = -38 + j. Suppose 0 = -3*f - 3*b - 2 - g, 0 = -2*f + b - 13. Let o(y) = y**3 + 5*y**2 + y + 5. Give o(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 - -198?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*y**2 + 23*y**2 + 26*y**2 to h*y + m + t*y**2 and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-22)\/77*(-9 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r**3 + 3*r**3 - 2*r**3 - 2*r**3 + 3*r**3 + 0*r**3 + (2*r - 2*r**2 - 2*r)*(-r - 1 + 1))*(4 - 3 - 5).\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1686\/7 - 1684\/7. Let p = 8 - 7.5. What is the closest to -3\/4 in y, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*g = -2*p - 20, -2*g + 4*p = 7*p + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the second derivative of c**5\/8 + 715*c**4\/8 + 77745*c**3\/4 + 680535*c**2\/4 + 2458*c + 1. Factor l(w).\nAnswer: 5*(w + 3)*(w + 213)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 - 4*k + 3*k)*(-82*k**2 - 4*k**3 + 82*k**2).\nAnswer: 4*k**4 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**2 + 2*a - 4. Let k(v) = -v**2 - v + 4. Let y(w) = -6*h(w) - 7*k(w). Suppose z = 6*z. Suppose z = 5*u + 7 - 37. What is y(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/4 - (-75)\/12. Suppose 42*f - 14*f = 47 + 569. Is b smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*-2*sqrt(7)*-3)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 45, 86, 125, 162, 197, 230?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -8*o - 3. Let c be l(-1). Solve -c*v + 6 = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 9\/145 and -48\/5.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1818 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -6*o + o. Suppose -x + 912 = g, 4520 = -13*x + 18*x - o*g. What are the prime factors of x?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -3*j**2\/7 + 249600*j\/7 - 5191680000\/7 = 0.\nAnswer: 41600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -7*k + 17. Let t(q) be the first derivative of q**2 - 6*q - 3. Let x(z) = 6*d(z) + 17*t(z). Let j(p) = -3*p. Give j(x(w)).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 11*b. Let g(d) = -5*d. Determine g(y(o)).\nAnswer: -55*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -38, -150, -336, -596, -930?\n\"Answer: -37*r**2 - r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -396783, -394842, -392901, -390960, -389019, -387078?\n\"Answer: 1941*h - 398724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -11 - -217\/20. Let h be ((-21)\/(-5))\/((-90)\/(-150)). Suppose 0 = -3*c + 4*k, h*c = 9*c + 3*k. Which is bigger: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -91.0028 - -91. Let k = -0.02793 + i. Let m = 0.032 + k. What is m rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*h**4 - 2 + 0*h**4 - h**2 - h + 0 + 0 to c*h**4 + y + v*h**3 + r*h + l*h**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -360*v**3 - 24838*v**2 + 51262*v = 0 for v.\nAnswer: -71, 0, 361\/180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53 + 109 = 5*b - 3*v, 4*b - 67 = -5*v. Solve -9*h - 4*h + b = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -15*w**4 + 6*w**3 - 6*w**2 + 6*w + 9. Let j(h) = 6*h**3 + 2*h**2 - 5*h**3 - 3*h**2 - h**4 + h. Let m(t) = -6*j(t) + l(t). Differentiate m(p) wrt p.\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x**(-2\/7))**(2\/41)\/(x**(-1\/3))**(-1\/2))\/((x\/x**(1\/7)*x\/x**(-1\/5))\/(x\/((x*x**(-1)*x)\/x)*x**(-2)*x)) assuming x is positive.\nAnswer: x**(-18847\/8610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -9 + 0 + (67 - 52)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 41*d**2 - 1. Let v be o(-1). What is the highest common divisor of 16 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 7, 100 in decreasing order.\nAnswer: 100, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -n**4 + 14956*n**3 + 477*n**2 + 66.\nAnswer: -24*n + 89736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**3 + 3*k**2 - 11*k - 3. Let n = -513 + 508. Determine j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -91*n**4 - 2068*n**3 + 4281*n**2 + 36918*n + 23760 = 0. What is n?\nAnswer: -24, -3, -66\/91, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {h: 1, p: 11, s: 2, y: 5}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 617032, 1\/15 in ascending order.\nAnswer: 1\/15, 3, 617032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -121232 (base 4) to base 13.\nAnswer: -998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 69194 is divided by 17291.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -197, -463, -1187, -2597, -4921, -8387, -13223?\n\"Answer: -38*a**3 - a**2 + 3*a - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes before 5:49 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 67311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 550553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 - -1000002?\nAnswer: 1000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the second derivative of 19*m**8\/28 + m**5\/5 + 41*m**4\/12 - m**3\/6 - 240*m. Find the third derivative of u(c) wrt c.\nAnswer: 4560*c**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 508674 = -16*s + 1738834. Suppose -21*d + 93698 = -s. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -125 or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*x**3 - 17*x**3 + 3300*x + 15*x**3 - 3298*x.\nAnswer: -20*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*x - 3*x - 5 = 0. Let f = -168278\/5 - -33656. What is the nearest to x in f, 23, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 244027252*p**5 - 2*p**3 + 373673570*p**2 wrt p?\nAnswer: 14641635120*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -8.8? (a) 2\/23 (b) 1 (c) -1\/3 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3.2 - -1.2. Which is the nearest to -1? (a) 0.3 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -49*c**2*p**3 + 44*c**2 - c*p + 2 wrt p?\nAnswer: -294*c**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 987 (base 14) to base 2\nAnswer: 11101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 646*i + 9. List the prime factors of w(6).\nAnswer: 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fffm when four letters picked without replacement from ffmmmffmfffmmmfffmfm?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve k**5\/3 + 13*k**4\/3 + 32*k**3\/3 + 20*k**2\/3 = 0 for k.\nAnswer: -10, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m**2 + 10*m + 1. Let q be o(-10). Suppose -2*b + 3*k + q = -b, 4*b + 3*k + 11 = 0. Let c = b + 6. Solve -2*n + 4*n - 4 = -4*w, -3*w + 13 = c*n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 127650111?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-6)\/(-9))\/(8\/60). Suppose -5*c = 4*l + 104, -4*c = -c + 12. Let d be (-1 - l\/15) + (-2)\/z. Let y(n) = n**2 - n + 6. Determine y(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2 - -2.3. Let s = -2.25 - -1.8. Let k = c - s. What is k rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 5*h = 3*s - 5, -19 = -3*s + 4*h. Solve 10*b = s*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*j + 29*j + 36*j + 60 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 21011211201100 (base 3) to base 13.\nAnswer: a37829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7643881 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 13632 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k - k - 35 = 0. Suppose -4*g = -h + 5, -5*h = g - 24 - 1. Suppose 0 = -2*v + 72 - 8. Solve k = h*c + v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes before 8:25 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9 and 2067.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -2*p**3 - 7*p**2 - 11*p - 12. What are the prime factors of m(-8)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -39a31 (base 14) to base 13\nAnswer: -4c7c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 277*j**3 - 136*j**3 + 136*j**3.\nAnswer: 277*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, -2\/11, -80.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 0*p - 2*p**2 - 26*p**2 + 0*p as m + u*p**2 + h*p and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -4*l**3 - 5*l**2 + 4*l - 3. Let a(q) = 5*q**3 + 6*q**2 - 3*q + 4. Determine -5*a(z) - 6*b(z).\nAnswer: -z**3 - 9*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the second derivative of -b**3\/6 - b**2 + b. Let o(f) = f + 3. Calculate 5*l(x) + 3*o(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 3441319199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-39)\/(-12) - (-3)\/(-12). Solve -f*v - 9 = -0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6610 divided by -1322.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.77046 milligrams to micrograms.\nAnswer: 2770.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 147*a - 100*a = -248*a - 4822660000. Round a to the nearest 100000.\nAnswer: -16300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -164, -162, -158, -152, -144, -134?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 875699172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10 + 15. Suppose 2 = -f*h - 3. Is 145 - 2 - 0\/h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 343*k - 2. Let n(j) = -2414*j. Give n(q(p)).\nAnswer: -828002*p + 4828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(156) - (-2*(sqrt(156) - 1*sqrt(156)) + sqrt(156)))\/((sqrt(3) + sqrt(9)\/sqrt(3))*-6) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.89*-4140.\nAnswer: -3684.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4639, 9255, 13847, 18415?\nAnswer: 22959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -6*j - 3. Let l be g(-2). Let d be (-11)\/12 - (-6)\/l. Let t = -3 + 2. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 364 + -349. Calculate the highest common factor of 465 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2*(8060\/8)\/1. Let f be (15 - s)*(-26)\/(-1). Round f to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (14*8\/(-12))\/((-430)\/1935)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the second derivative of -l**5\/10 - 5*l**4\/6 - 2*l**3 + 4*l + 15. Solve j(z) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 94 - 110 = 0. Suppose -4*y = a, -7*h - 5*y + 15 = -3*h. Solve -3*b - h*s - 11 = 0, -2*b + b + s = -7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -124486, -248972, -373458, -497944, -622430?\n\"Answer: -124486*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 123228923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 60 a factor of 1300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 + 1. Let d = 1391 - 1395. Let h be (-2)\/2*(-2 - -1). Sort y, d, h in increasing order.\nAnswer: d, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a**3 - 4*a**2 + 4*a + 1. Suppose -2 = 4*n + 2. Let m be 2 + 2 + (-2 - n). Let u be o(m). Solve d = 2*d - 4*v - 21, u*d - 12 = -2*v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -26285*o*u**2 - 35*u**2 + 929 with respect to o.\nAnswer: -26285*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -c**4 + 461*c**3 - 51486*c**2 - 380484*c - 328536 = 0.\nAnswer: -6, -1, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes after 3:53 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 8, 18, 46, 98, 180, 298, 458?\n\"Answer: s**3 + 3*s**2 - 6*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 4883580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -817 (c) -28 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*k + 23 + 55 = 106 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1.41 and 7.3?\nAnswer: 5.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 2*v - 2. Let o(w) be the second derivative of w**3\/2 - 2*w**2 + w. Let h(m) = -3*o(m) + 5*x(m). Let j be h(-2). Sort 1, -2, j in descending order.\nAnswer: 1, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*v - 31*v + 160 = 13*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 170, 431, -182 in descending order.\nAnswer: 431, 170, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1216 and 7232?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.4 - 0.65. Let k = 24 - 23.8. Let g = y + k. Round g to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000019539622 rounded to seven decimal places?\nAnswer: 0.0000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -4 times -4202\nAnswer: 16808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*d**2 + 4*d**2 + 3*d**2)*(60*d - 11*d - 2*d).\nAnswer: 141*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 361180779?\nAnswer: 3, 43, 89, 163, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 10412428 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) be the third derivative of -l**7\/280 - 349*l**6\/480 - 897*l**5\/16 - 56277*l**4\/32 + 19773*l**3\/4 - 3*l**2 - 77. Factor v(h).\nAnswer: -(h + 39)**3*(3*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the first derivative of z**2 - 2*z - 1. Let a be 4\/6*(-37 + -5). Let d be 8*(4 + a\/8). Give j(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 109908 + -77771. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.3 + -0.1. Let x = -13 + 18. Which is the third smallest value? (a) f (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 234*d**3 + 26*d**3 - 12*d**3 + 77*d**3.\nAnswer: 325*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the second derivative of -b**4\/6 - 7*b**3\/6 - b**2 - 6*b. Let y be j(-10). What is y rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -2*q**2 - 42*q - 25. What is a(-21)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(475)*-1*-5*5*1*6.\nAnswer: 750*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify n\/n**(-1\/2)*n**(-4\/3)*n\/(n*n\/(n*n**3))*n**(-1\/3) assuming n is positive.\nAnswer: n**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3106507\/224 - 13868. What is the common denominator of -5\/96 and k?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-12)\/(-30) - (-8)\/5. Sort v, -1, -5\/3.\nAnswer: -5\/3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 34 + -24. Let b be 8*2\/(-8)*-2. Suppose t = b + 2. Calculate the least common multiple of t and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**3 - 3*k**2 + 6*k + 3. Let r be n(-4). Let c(z) = 3 + 105*z - 106*z - 4. What are the prime factors of c(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -979 + 1704. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25908\/119 + 2*1\/7?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(1375) + ((sqrt(1375) - (sqrt(1375) - -2*sqrt(1375)))*3 - sqrt(1375))))\/(-1*(-5*(2*sqrt(121) + sqrt(121)) + sqrt(121))\/sqrt(11)).\nAnswer: 60*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4)\/(-6)*3*1. Let v = 24 + -19. Solve 2*y + 16 = -4*u - x*y, v*y + 17 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**3 - r**2 + 0*r**3 + r - 3*r**2 + 1. Let c be y(4). Suppose 1 = -c*v + 71. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -54*t - 264. Determine c(0).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1783451.\nAnswer: 271, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*l**3 - 19*l**3 - 16*l**3 - 18*l**3 + 69*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine n, given that 2*n**5 - 18082*n**4 + 41166686*n**3 - 1340012126*n**2 + 2556596512*n - 1257732992 = 0.\nAnswer: 1, 31, 4504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1*7*6*1. Let t = -125\/3 + c. Factor 1\/3*j + 0 - 2\/3*j**2 + t*j**3.\nAnswer: j*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 663371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*x**4 + 41*x**3 - 1842*x**2?\nAnswer: -96*x + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h + 8, 141*v - 137*v = 4*h + 2092. What is the remainder when v is divided by 175?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - -1 - -10 - (6 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 4*z + 6 = -0*z, 2 = 4*d + 2*z. Let s be (-135)\/(-25) - 3 - d. Which is greater: s or -19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -5 (b) 12\/7 (c) 1\/6 (d) -172\/19 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 244730100 to the power of 1\/2, to the nearest integer?\nAnswer: 15644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -812174 divided by 29\nAnswer: -28006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - -9 - 0) + (23 - 38) + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 32 = 3*x - 4*h, -4*x - 3*h + 64 = 0. Suppose 0*v - x = 4*g - 2*v, -2*g = v. Let f = -1 - g. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*m = -18*m + 28. Calculate the smallest common multiple of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 34*d**2 - 9*d + 21. Is 56 a factor of o(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22824.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from xpopbhxvhvbhxxpxxbp?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*p - 2*p - 48. Suppose 10*o + p*o = 3474. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 312937027 is divided by 3107.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 193384?\nAnswer: 2, 23, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -a (base 15) to base 14\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 165*j = -154*j + 72*j - 988. Which is the closest to -2\/7? (a) -0.1 (b) j (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 6 = x + 3*t, x = t - 1. Let o = -0.2 - -1.2. What is the closest to 0 in o, 5, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**2\/15 - 374776*j + 263356969080.\nAnswer: 2*(j - 1405410)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4*(-3)\/(-3))\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3887 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 211.999546 + -212. Round q to 5 decimal places.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 11*d**3 - 3*d**2 - 5*d + 39. Let a(v) = -6*v**3 + 2*v**2 + 3*v - 19. Determine 5*a(m) + 3*t(m).\nAnswer: 3*m**3 + m**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1523*l - 749*l - 775*l + 6*l**3.\nAnswer: 6*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 41434, 41521, 41608, 41695?\n\"Answer: 87*h + 41347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o - 5. Let k be h(-5). Suppose 22 = 2*p + 18. Solve 6 = -p*j - k*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 93 - 91. Suppose 4*z = k + 36, 4*z - 36 = k + w*k. What is the greatest common factor of z and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bsak when four letters picked without replacement from {r: 2, a: 1, s: 9, k: 4, b: 1}?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*k + 37*k - 4627 = 2*b, 3*b - 21 = 0. Suppose -5*i = v + 1016, -3*v - 2602 = -2*i + 412. Let c = v - k. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 203 = -3*d. Let s = -1 - -2. Which is the biggest value? (a) s (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -4, 35, 125, 0, 5.\nAnswer: -4, -2, 0, 5, 35, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -369\/7 - -53. Let q = 1\/172 + -349\/860. Which is the closest to t? (a) 2 (b) q (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10338545.\nAnswer: 5, 7, 295387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55*j**2 - 68*j**2 + 125*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 74\/405 and 157\/450.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16 - 975217*p**2 - 31 + 15.\nAnswer: -975217*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6716*x**4 + x**3 + x**2 - 8627?\nAnswer: -161184*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q + 33 = 29 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 458, 508, 558, 608, 658?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 7 (b) -7 (c) -0.4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 93212077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -62 - 0 - ((5 + -3 - 22) + (-160 - -181))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2213 (b) -1 (c) 4 (d) -171\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(-2))\/((-6)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2199\/17 or 129?\nAnswer: 2199\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 142502*l - 142502*l - 4*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 23 (base 4) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the second derivative of 1\/20*y**5 + 19*y + 0 + 0*y**3 - 3\/2*y**2 - 5\/12*y**4. Let k(a) = -a + 10. Let s be k(5). Calculate f(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/(-14) - (-5 + (-2870)\/98). Suppose -35*y + 14 = -a*y. Let p be ((-2)\/(-3))\/((-20)\/(-438)). Which is smaller: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes after 1:03 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 49\/78 + -6\/13. Let x = 1\/6 + h. What is the second smallest value in 5, x, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26104 is divided by 6822?\nAnswer: 5638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -5 (c) 4 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 3.06, -1\/2, 5.6, -0.03 in decreasing order.\nAnswer: 5.6, 3.06, -0.03, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + ((sqrt(468) + 1)*4 + sqrt(468) - (1 + sqrt(468))*-4))*-3)**2 + 5.\nAnswer: 12636*sqrt(13) + 342698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**3 + 3*s**2 - 12*s - 34. Let z be y(-4). Let m be 2244\/510 - (z + (-12)\/(-5)). Solve 4*p = -0*f - m*f, 0 = 5*p - 4*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2 + -1)*30\/(-6). Let r = 7 + q. Suppose r*l + w = 145, -2*w - 4 = -6*w. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (1 - -83) + 8 + -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.362 from 316024834.\nAnswer: 316024834.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, 5, -132?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 36 - 0.2.\nAnswer: 35.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 154282223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -5566, -5523, -5490, -5473, -5478, -5511, -5578, -5685?\n\"Answer: -v**3 + v**2 + 47*v - 5613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*v - t + 11, 123*t - 126*t = 18*v - 45 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 38 in -0.01, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.1 + 0.1. Let d be (2 + (-12)\/8)\/(-1)*-2. Sort -3, b, d in ascending order.\nAnswer: -3, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2400000 rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 28 by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5 + 11. Suppose d*a = 86 + 1240. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 530 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: Solve 0 = 1662*d - 1661*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 5\/6, -0.1, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -10 + -20?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(612) - sqrt(153)\/(2*sqrt(9)))**2.\nAnswer: 2057\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*o + 838 - 1438 = 0 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1\/19 + -43\/95. Put s, 0.2, -6 in ascending order.\nAnswer: -6, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 5 (b) 23 (c) -158.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*g - 7*g - 3*g + 1 - 1 + 2*g + (1 - 3 + 3)*(-g - 1 + 1) + 2*g + g + 0*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -80*z - 84*z = -3*s - 162*z + 16, -2*s = 6*z + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -3*g. Let p(d) be the third derivative of d**6\/360 - 2*d**3 - 21*d**2. Let f(u) be the first derivative of p(u). Give m(f(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**2 + 238*g + 480.\nAnswer: -(g - 240)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 99\/4 of a litre?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o + 36. Let i = 156 + -143. Let r be q(i). Solve 5*l - r = c, 19 = -0*l + 4*l - c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1790472 or -0.0736?\nAnswer: -0.0736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -8b (base 13) to base 9\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2805 + -2801. What is the lowest common multiple of n and 108\/8 - (-1)\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*d + 3*p + 996, 4*d - p - 275 = 1044. Let o = 282 - d. Are -47 and o nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -209 - -234. Let g be (1 + -103)\/(-2) - 1. Calculate the highest common factor of g and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 535 minutes after 5:51 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -1 - 4 - 503*b + 253*b + 1 + 6*b**2 + 255*b. What is d(-4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve d - 2*d - 5698*z + 5699*z + 7 + 2 = 0, 6*d = -4*z + 104 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is p in 2*p**5\/7 + 16*p**4\/7 - 6*p**3\/7 - 124*p**2\/7 + 16*p = 0?\nAnswer: -7, -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 22, -0.03, -215, 0, 4\/5 in ascending order.\nAnswer: -215, -0.03, 0, 4\/5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 39168847607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -28, 5, -2\/7, -7\/17, -25.8 in increasing order.\nAnswer: -28, -25.8, -7\/17, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 23827.6 - 23828. What is the fourth smallest value in -0.09, 4, -0.5, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.02 - 645?\nAnswer: -644.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 357980571.\nAnswer: 3, 13, 647, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*o + 2*o**2 - 3*o + (1 - 1 - 2)*(2*o**2 - 1 + 1) + 614 - 51*o**2 - 300 - 304 to b*o**2 + x*o + w and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the second derivative of -39*y**3\/2 - 2*y**2 - 9*y. List the prime factors of r(-2).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(70)*1 + sqrt(70))\/sqrt(5))\/(2*sqrt(847)).\nAnswer: sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*t - 10*t + 6 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7 - 5. What is the nearest to w in 0.5, 1\/3, 1\/5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -17*t - 45. Let b(w) = 8*w + 23. Suppose -15*m + 85*m - 910 = 0. Determine m*b(f) + 6*r(f).\nAnswer: 2*f + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1023\/143 - 7) + (-16)\/273.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6917 + -5316. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -l**2 + 1549*l + 47628. Give s(-30).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:27 PM and 5:21 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ssaspnnnpassnnass. Give prob of picking 2 n.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be 444\/14 - (-2)\/7. Suppose -b + j = 3*q, 0*q - 3*q = 4*b - 29. Suppose -13*t + 39 = -13. Calculate the least common multiple of t and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*u**2 - 49672*u - 99352.\nAnswer: 2*(u - 24838)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t*t*(t*(t*t**(-45))\/t*t*t*t)\/t*t*t*t)\/t**(-42) assuming t is positive.\nAnswer: t**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o - 8. Let m be q(12). Let z be ((-1)\/m)\/((-11)\/308). What is the highest common divisor of 77 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1191 smaller than 90746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 22469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 448 divide 107042880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -343*h. Let a(s) = -23*s**2. What is f(a(z))?\nAnswer: 7889*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 682 or 702?\nAnswer: 682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -54 - 480?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -117956*k + 217715.\nAnswer: -117956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = -36 + 6. Calculate the greatest common factor of z and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 91203 and 403899?\nAnswer: 2827293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -c**2 + 3*c. Let r(i) = -8*i**2 + 22*i. Let z(q) = q + 17. Let l be z(-11). Determine l*r(k) - 44*h(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gno when three letters picked without replacement from {n: 1, x: 1, a: 1, m: 1, o: 2, g: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 517 + -512. What is the third derivative of -285*y**5 + 154*y**2 - 280*y**5 + 565*y**k - 158*y**6 wrt y?\nAnswer: -18960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -4579, -9162, -13745, -18328, -22911?\n\"Answer: -4583*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 4796, 22897, 54316, 99053?\n\"Answer: 6659*t**2 - 1876*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -0.02, -8, 20, -0.3.\nAnswer: -8, -0.5, -0.3, -0.02, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5 and 161800?\nAnswer: -809000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.45 - 0.5. Let m = -5.05 - w. Let t = m - -8. Which is the third biggest value? (a) -4 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*(l**(1\/6)*l)\/l)**(4\/5))**(-1\/21) assuming l is positive.\nAnswer: l**(-2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = -571\/1158 - 4\/579. Let a = 12 - 8. What is the closest to j in 0.2, -2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 17\/4 + (-2)\/8. Let k(x) = -5*x**5 + 16*x**4 - 11*x**3 - 11. Let g(f) = f**5 - 3*f**4 + 2*f**3 + 2. Let h(n) = p*k(n) + 22*g(n). Solve h(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-9)\/(-1) - (-3 - -7). Solve -b - 5 = y, -2*b - p*y = b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9984?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 435 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 8 (b) -1\/18 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the first derivative of -4\/3*t**4 + 13 - 40\/9*t**3 + 23\/6*t**2 - t. Factor x(k).\nAnswer: -(k + 3)*(4*k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 161469874?\nAnswer: 2, 80734937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 8*u**2 - u + 1. Suppose 0*l - 2*l = -6. Suppose -t = -3*j + 6, -6*t - 2*j = -l*t - 26. What is the least common multiple of v(1) and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 smaller than -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of -22248.8 and -2529.\nAnswer: 56267215.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 112 and 7434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2535106 = -20*c + 2534666 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -0*k + 70. Let l(x) = x**2 + 11*x + 32. Suppose 5*o + 18 + 23 = 3*b, 5*b = -4*o - 55. What is the least common multiple of k and l(o)?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h**2 + h. Let w be v(-2). Suppose -2*f - 13 = -w*m - f, m - 11 = -4*f. Let t = -4 + m. Solve 0 = -t*n + 2*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3584702940?\nAnswer: 2, 3, 5, 7, 13, 50503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.9 - -3.1. Let w = -1 - j. Let u = 0.05 + -3.05. Sort u, w, 2 in ascending order.\nAnswer: w, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 10373 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - (-2)\/6)\/(-11 + 1566\/145).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 59 + -38. Let v(n) = -n**2 - 28*n + 3. Let r be v(0). Suppose -r*x + 177 = l, 3*l + 0*l + x - 563 = 0. What is the highest common factor of t and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2001 = -43*y + 12*y - 16*y - 1383 for y.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 7*u - 2. Let r be i(1). Let a(f) be the second derivative of -1\/4*f**2 - 5\/8*f**r - 11\/12*f**3 - 35\/24*f**4 + 0 + 3*f. Factor a(w).\nAnswer: -(w + 1)*(5*w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**3 - 16*a**2 - 18*a - 4. Determine m(17).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 66*q - 352 = 6*q - 156*q + 2672 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -87389147 plus 0.2?\nAnswer: -87389146.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 200848.576 to the nearest 10.\nAnswer: 200850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 49185 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 3 - (7 - 4) - 3 - -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -8*m - 16. Let a(t) = -5*t - 8. Let y(l) = -5*a(l) + 3*n(l). Calculate y(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (6\/7)\/(11\/(-385)). Let d = 42 + r. Let b(x) = -x**2 + 9*x - 8. Calculate the lowest common multiple of b(6) and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find n such that 3*n**5 - 4434*n**4 + 1629471*n**3 + 6571188*n**2 + 6588972*n = 0.\nAnswer: -2, 0, 741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 2*i - 26. Let b = 18 + -16. Let s(l) be the first derivative of 2*l + 265*l**2 + 29 - b*l - 266*l**2. Determine s(x(j)).\nAnswer: -4*j + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2744355 rounded to the nearest ten thousand?\nAnswer: 2740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-21\/5)*a)\/a**(-23)*a**(1\/4)\/(a*a\/(a*a**(-10\/11)\/a)*a) assuming a is positive.\nAnswer: a**(3551\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/(-3) - (-30)\/9. Suppose y*i - h + 12 = -4*h, -5*i + 4*h = -25. Which is smaller: i or -3\/19?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q such that -5*q**3 + 1148180*q**2 - 65915865620*q = 0.\nAnswer: 0, 114818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**1\/q)**(2\/83)*(q**(-8)\/q)\/((q**(2\/5)\/q*q)\/q*q) assuming q is positive.\nAnswer: q**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**3 + 16*k**2 - 25*k + 11. What are the prime factors of q(10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 481, 475, 467, 457, 445?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z**3 - 23*z**2 - 8*z + 147. Calculate h(23).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3 + -1. Let x(a) = -2*a**3 - 3*a**2 + 13*a + 2. Let m be x(0). Solve 0 = -5*d - w + 2 - 5, -h*d - 2*w = -m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19786 is divided by 136?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**8\/s**(-3))\/(s**9\/(s**3*s)))**(1\/33) assuming s is positive.\nAnswer: s**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 78686324449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 1 = 6. Let x be ((0 - -16)\/b)\/(-2). What is the greatest common divisor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5383 + -3690. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -112*b - 8. Let g be a(4). Let p be (-2 + -4)\/(1\/g). Suppose 10*y - 2*y = p. What is the greatest common divisor of y and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1272)\/(-288) + -5)\/((-7)\/8*(-30)\/35)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve t - 3*g - 6 = 0, -412*t + 411*t = -6*g - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10000 - -101000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q - 1. Let s be b(-5). Let i(a) = 3*a + 3*a - 4*a - 3*a. Let r(z) = 8*z - 1. Suppose 7*d = 3*d - 4. Calculate d*r(l) + s*i(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 5478499.51 rounded to the nearest 100000?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2 and 1.41?\nAnswer: 2.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50270646 is divided by 120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*m**5 + 31*m**4 - 759*m wrt m.\nAnswer: -60*m**3 + 372*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the third derivative of -29*m**6\/240 + 59*m**5\/60 - 31*m**4\/12 + 2*m**3\/3 + 524*m**2. Determine o, given that g(o) = 0.\nAnswer: 2\/29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 28.8931 * -3\nAnswer: -86.6793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = i + 11, -3*b + i = 5*i. What is the highest common divisor of b and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.114 and 0.04.\nAnswer: 0.00456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = -53 + 58. Which is the smallest value? (a) 1\/6 (b) -0.3 (c) 7 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1996, -3, -4 in descending order.\nAnswer: -3, -4, -1996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.162 minus 0.1364887858?\nAnswer: -0.2984887858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -34, 3, -1, -5 in decreasing order.\nAnswer: 3, 0, -1, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 302*c**4 + 96?\nAnswer: 1208*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f = 15*f - 558. Suppose -f = -5*i + 43. Suppose 4*l - i - 3 = -u, -4*l - 3*u = -32. Solve -6*k - l = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xgx when three letters picked without replacement from {x: 10, g: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3413 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be 58\/5 - 10\/(-25). Suppose -2*b = -0*b - k. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1925 from -51.\nAnswer: -1976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 646 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(3)*-1*-1 - sqrt(432).\nAnswer: -11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -107 plus 1.999494?\nAnswer: -105.000506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -406 (base 7) to base 2.\nAnswer: -11001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(2\/5)\/(s**5*s*s))\/((s*s*(s*s\/(s*s*s**(-2\/9)))\/s)\/s**(-10)) assuming s is positive.\nAnswer: s**(-802\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 112 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*b + 2659 = 323. Is b equal to -146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 19 = 13. What is the common denominator of 29\/18 and 23\/24 - 12\/h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*f**2 - 3*f**2 - 2*f**4)*(2 + 0 - 3) + 4*f + 3 + 2*f**4 - 4*f.\nAnswer: 4*f**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-40)\/(-16 + 57 - 35).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 41 + (1 - 2) - (-172 - (-296 - -108))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3980\/7 + -935314\/1645. Let f = -701\/470 + g. Sort f, 6\/67, -1\/7, -0.2.\nAnswer: f, -0.2, -1\/7, 6\/67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 5, h: 3, p: 1, o: 3, l: 7}. What is prob of picking 2 k and 1 h?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = 526 + -294. Let i = y + -143. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 + 17b53e?\nAnswer: 17b53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000180251 rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 37633399 is divided by 10518?\nAnswer: 10513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*h**3 + 0*h**3 - h**3 + (2 - 1 - 2)*(-h**3 + 3*h**3 - 3*h**3).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -55 + (2 + 1 + (-1 - 0) - (971 - 971))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 56939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 133 + -87. Let c = 161 - f. Does 26 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(704) + 1 + sqrt(704) + -5 - -6*(sqrt(704) + 1) - -6*(-5 + (2 + sqrt(704) - sqrt(704)) + sqrt(704)))**2.\nAnswer: -3584*sqrt(11) + 138245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ltutt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 - x + 6)*((2 - 9 + 1)*(-1 + 1 + 2) + (0 + 3 - 1)*(-1 - 3 - 2)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 7964.452 weeks to minutes.\nAnswer: 80281676.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1039 - 1077. Sort 4, -1, x, -4.\nAnswer: x, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1047*c + 853*c - 5*c**3 + 2*c**2 - 1496*c.\nAnswer: -5*c**3 + 2*c**2 + 404*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h be (9 - 6) + (-68)\/(-2). Suppose -t = 5, -3*m + 0*m - 5*t - h = 0. What is the closest to -1\/2 in m, -1\/4, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 321\/7453 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 62 minutes after 1:18 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:01 PM and 5:49 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*r**3 + 1122 - 4441 + 1115 + 1109 + 1095.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4 and 19061.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -21.7 + 22. Let j = -6.9 + 14.2. Let a = 7 - j. What is the smallest value in 1\/6, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aploopkkpakp. Give prob of sequence pk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -2*l + 7. Let o(u) be the first derivative of 3*u**2\/2 - 6*u - 1515. What is -5*i(v) - 6*o(v)?\nAnswer: -8*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -70.4895308 rounded to the nearest integer?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 9695030 bigger than 9695030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*x + 3*x + 2*x + (-1 + 2 + 1)*(4*x - x - x) + 1 - 1 - 3*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/((-15)\/(-6) + -3). Suppose -p = 5, -o*p = 5*y - y + 10. Suppose -2*b + 3*b - 3 = y. Calculate the remainder when 7 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 9, w: 2, q: 1, d: 6}. Give prob of picking 2 c.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**2 - 3*r - 5. Let v be w(-3). Let p(z) = z**2 + 3*z - 5. Give p(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1564246 plus 3529?\nAnswer: 1567775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -0.36*0.3\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.08 in -1\/3, 29, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 112928 or 112929?\nAnswer: 112929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5314618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be 45\/(-6) - (-5)\/(-10). Let r = -2632\/9 - -892\/3. Calculate the common denominator of r and (-20)\/a*(-106)\/10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -6*d**2*p - 75*d**2 + 825*p + 632 wrt p.\nAnswer: -6*d**2 + 825","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 + 2. Suppose -g*l + 1 = 7. Calculate the remainder when ((-8)\/(-5))\/(l\/(-5)) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.154 * -21.\nAnswer: -3.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 1932, 5, -18, -4, -2, 4.\nAnswer: -18, -4, -2, 4, 5, 1932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 164867471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 - -2.6. Suppose 146*y - 142*y - 4 = 0. What is the third smallest value in w, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 107 a factor of 1274174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate c**2*o**2 - c*m*o**3 - 7*c*m*o - 30*m*o**3 + m*o**2 + 5 with respect to c.\nAnswer: 2*c*o**2 - m*o**3 - 7*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 54\/9503?\nAnswer: 54\/9503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -4*v**3 + 6*v**2 - 6*v + 6. Let w(p) = p**2 - p + 1. Calculate -2*i(x) + 12*w(x).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*-4*sqrt(70))\/(sqrt(70)\/(-3*sqrt(7)))*5.\nAnswer: 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 11*k**2 + 5*k + 4. Does 7 divide u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -21*r - 29. Is c(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 183 is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 16a8 + -202?\nAnswer: 14a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h**4\/7 + 4084*h**3\/7 - 32584*h**2\/7 + 81392*h\/7 - 65088\/7 = 0 for h.\nAnswer: 2, 4, 2034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2691*y**5 + 669*y wrt y.\nAnswer: 53820*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1121551435 (base 6) to base 3\nAnswer: 212100110202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 89\/12 - 27\/4. Sort 0, -0.02, 1\/2, j in decreasing order.\nAnswer: j, 1\/2, 0, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -302 and 0.03.\nAnswer: -9.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = 3*o - 4*h, -3*h + 8 - 11 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b and 2 z when four letters picked without replacement from zvvvzzzbzzzvb?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 + -5. Let b be (6\/m)\/(8\/(-3)). Factor -b*h**2 - 3\/4*h - 1\/2.\nAnswer: -(h + 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 316382112 divided by -4176\nAnswer: -75762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*v - 24*v + 339726 = -21*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = -a - a. Suppose -4*k = -5*x - 6, -3*k + 10 = -x - a*x. Solve k*j = -5*u + 2 - 0, u = -2*j - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -12 + 17. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -271*b**4 - 395.\nAnswer: -1084*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 31886328 at most as big as 31886329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 31867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 43960, 88229, 132498, 176767?\nAnswer: 221036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) -5 (b) -2\/7 (c) -57 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5215.\nAnswer: 5, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 430512840 times -0.4\nAnswer: -172205136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - 7) + (-16 - -21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -k**3 + 37*k + 15. What is y(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*f*o**4 - f*o**3 - 214*f + 3*o**4 + 1 with respect to o.\nAnswer: -8*f*o**3 - 3*f*o**2 + 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8.751 - -0.049. Which is bigger: 2\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 83*x - 2989 = -w, 25*w - 3*x = 29*w - 112 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9 + -5. Suppose 3*z + 0*z + 95 = 170. What is the second derivative of 5*f + 32*f**q - 17*f - z*f wrt f?\nAnswer: 384*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (60\/(-54))\/((-8)\/(-84)*14)*(-11)\/(-55)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.11 - 8.11. Let x = f - -8.5. What is the second smallest value in -3\/4, x, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 16 + -9. What is the second derivative of -s*l**3 - 15*l**3 - l - 17*l wrt l?\nAnswer: -132*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*q - 60 = 6*q. Let r = q - 1. Solve 5*s - 20 = -5*n, 5*n + 14 = r*s - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in thirty-four fifths of a hour?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l + 3*a = -21, 2*l + 3*a + 26 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**3 + 5*f**2 + 2*f + 13. Let a be h(-4). Suppose -12*m + 13*m + 3*n - 27 = 0, 3*m - 3*n - a = 0. Which is bigger: m or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2210528304.\nAnswer: 2, 3, 15350891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**2 - 17*v + 1568.\nAnswer: -(v - 32)*(v + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let 2*q**3 + 10860*q**2 - 458766*q + 4826304 = 0. What is q?\nAnswer: -5472, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put together -64754.2 and 0.3.\nAnswer: -64753.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 14*u**3 + 17*u**2 + 11. Let g(h) = 3*h**2 - 19*h + 2. Let p be g(6). Let a(j) = -5*j**3 - 6*j**2 - 4. Determine p*x(q) - 11*a(q).\nAnswer: -q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 19*r**2 + 6*r. Let f be c(-5). Let z = -82 + 85. Suppose 3*x - f = t, z*t - 4*t + 2 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -1, 7, 3, 22 in decreasing order.\nAnswer: 22, 7, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 508.1513 millilitres to litres.\nAnswer: 0.5081513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 150.6515ns in milliseconds?\nAnswer: 0.0001506515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 32\/2 + (40 - -233415) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7*b + 2*b**4 - b - 4*b**4 - 2*b**2 + 24*b**3 - 22*b**3 in the form t*b**2 + j*b**3 + w + z*b + n*b**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + (-5 - -3) + 3 + -38 + 36?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*d + 2023*x - 2024*x + 8 = 0, -5*d = 5*x - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -141274a78 + 0?\nAnswer: -141274a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/5? (a) -3 (b) 0 (c) -2 (d) -1.7 (e) 342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 8*m**3 - 5 + 5 - 1 - 1 as d + u*m + x*m**2 + p*m**3 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-155)\/(-3))\/((-1)\/102000). Round x to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*d**2 - 7 - 11*d**2 + 3*d**2 - d)*(5*d**2 - 4*d**2 + d**2 + (9*d + 4*d - d)*(-3*d + 3*d + d)).\nAnswer: -42*d**4 - 14*d**3 - 98*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1019 - -1022. Sort 1, o, -5, -8 in increasing order.\nAnswer: -8, -5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 351465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d - d - 5*h + 13, -2*h - 6 = 0. Solve 4*n + 6 = d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59761824833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**2 + 2*l + 3. Let r(x) = -x**2 + 7*x - 4. Let f be r(6). Let n be (-1)\/3*(-12)\/f. Let d(c) = 2*c**2 + 5*c + 7. Give n*d(u) - 5*q(u).\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 65205944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m + r, -7*m - 2*r = -3*m. Let v(j) = 2*j + 4. Let s be v(3). Solve s = -m*t + 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 621*a**2*c**2 + 4*a**2 + a*c + 4*c**4 + 485*c + 1 wrt c?\nAnswer: 1242*a**2 + 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 2*k**2 + 23*k - 3. Let u(a) = 8*a + 51. Let l be u(-6). Let w(z) = -z**2 - 8*z + 1. Determine l*i(h) + 8*w(h).\nAnswer: -2*h**2 + 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is (-19400)\/(-80)*(2 - 0) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.0075706962 - 4\nAnswer: -3.9924293038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8710 is divided by 198?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 675 and 1080?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 94 a factor of 1692572891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1462 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 37*u**3 + 81*u**2 - 318*u - 1. Calculate g(3).\nAnswer: 773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(17\/5)*t*t*t**43 assuming t is positive.\nAnswer: t**(242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j + 4*n - 396, 12 = j + 2*n - 72. Suppose j*a - 204 = 75*a. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(6)\/(sqrt(3) + (sqrt(9)\/(sqrt(3)*-4) - sqrt(3)) + sqrt(3)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -14095191 and -3.508?\nAnswer: 14095187.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -b**2 - 3*b. Let i be q(-3). Suppose 74 - 94 = -4*l. Solve i = l*u - 4 + 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the second derivative of -5*o**3\/3 - 6*o**2 + 8*o. Let w be v(-10). Suppose -5*x + 20 = -20. Calculate the greatest common divisor of w and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*a - 24*a + 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22392588*g**2 - 4 - 11196337*g**2 + 4 - 11196301*g**2.\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*x - 1 + 1)*(-2*x + 5*x - 2*x + 6*x + 0*x - 3*x + 2*x + 2 - 2 + (1 - 2 + 3)*(x + x + 0*x))*(0*x + 0*x + x**3).\nAnswer: 100*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o**2. Let r(p) = -626393*p**2. What is m(r(s))?\nAnswer: 392368190449*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 14 = -2*h, -14 = -u + 2*u - 3*h. Let p(o) = -2*o**3 + 33*o**2 - 13*o - 51. Let f be p(16). Which is the nearest to u? (a) -11 (b) -0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*k = 12*k - 6. Calculate the smallest common multiple of 12 and (6 + (-48)\/18)*k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*g + 835 + 1385 = 0. Let h = g + -109. Calculate the smallest common multiple of h and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1968 at most -5129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -158400 divided by 13200.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2494 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0.86, 1, 2\/5, -3\/2 in increasing order.\nAnswer: -3\/2, 2\/5, 0.86, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -359*f + 126 = -341*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/(23\/8 + -3) - (11 - 3). Let s(r) be the second derivative of 2\/105*r**6 - 8\/21*r**3 + 30*r + 0 + 4\/35*r**5 - 1\/21*r**4 + n*r**2. Factor s(l).\nAnswer: 4*l*(l - 1)*(l + 1)*(l + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -13235 - -145722\/11. Let y = o - 321\/77. Let t = -8 + y. Which is the nearest to -30? (a) 0 (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p*p\/(p*p\/(p\/(p*p\/(p\/(p\/(p\/(p**(-3\/7)*p))))))))*(((p\/(p*p**11))\/p)\/p)\/p)\/(p*p**(-7))**4 assuming p is positive.\nAnswer: p**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*c + c, 7*o + c - 3 = 4*o - 2*c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is a (base 16) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4 + 32312140?\nAnswer: 32312131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**1)**(-17))**30 assuming v is positive.\nAnswer: v**(-1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1445*-3*1\/21. Let n = 206 + o. Which is the nearest to -1\/3? (a) -2 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 193792 divided by 48448?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 2*w + 6*w. What is the remainder when 13 is divided by ((w - 3) + 0)*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1060 and 14360?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x**(-4))\/x)\/(x*x**(-2\/5)*x)*(x**(1\/2)\/x)\/(x\/(x\/(x*x**0))) assuming x is positive.\nAnswer: x**(-71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35107 is divided by 168.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the first derivative of h**2\/2 + 27*h + 26. Let s be q(-15). Solve -5*x = -4*x, 4*g - 2*x - s = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -511*o**3*w**2 + o**2*w**2 + 3*o**2 wrt o.\nAnswer: -3066*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00403415 to 4 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2105 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (r**5 - r**5 - r**5)*(16 + 25 + 128).\nAnswer: -169*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 15, 1, -265, -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-3*(-1)\/9)\/((-20)\/120)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7832 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -7, -652, 2 in increasing order.\nAnswer: -652, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*m**2 - 4 - 3*m**2 - 3 + 0*m**2 to the form o*m**2 + q*m + w and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 2 = 3*a, -13*a = -2*r - 10*a + 22. What is the lowest common multiple of 22 and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/(16\/(-8)*-1*(-1)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 27688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1*(-3)\/(72\/3)*-1. Let y = 3 - 2.99. Which is the closest to -1? (a) y (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(11) - (1 + sqrt(11) + sqrt(176) + sqrt(11))) + ((-2*sqrt(11))**2 - sqrt(11) - sqrt(11)) + 0.\nAnswer: -7*sqrt(11) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -68*x - 30*x + 102*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*a + 8 - 1. Let x(i) = 2*i**2. Let k be x(a). Suppose k*n = -4*l + 46, 3*n = 5*l - n - 64. Solve l = -2*m - v, 0*m - 3*m = -2*v + 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -150 - -156. Calculate the remainder when 10 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t - 3*f + 4 + 18 = 0, t + 18 = 5*f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0 + 4 - (25\/(-5) - -3). Let s be 9\/(4402\/2200 + j\/(-3)). What is s rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, -28, 0.5, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 5 - 34.832\nAnswer: -29.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (615\/(-3280))\/((-9)\/8)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 7b2b (base 13) to base 3\nAnswer: 212200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -3*v**3 + 2*v**2 - 3*v + 1. Suppose 874*u - 14 = 860*u. What is a(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -61*l**3 - l**2 - l - 1. Let h be q(-1). Calculate the highest common factor of h and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000136983 rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -27\/2685332 and -151\/4488.\nAnswer: 3012942504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1 - 4\/(4\/3). Let t be s\/(-4)*-2*-4. Suppose -3*w - r + 609 = 0, -w + t*r = 2*w - 609. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - k = 2*c - 38, -3*c + 21 = -k. Let x be (10\/25)\/(k\/285). Which is smaller: -7 or x?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -7*i**3 + 11*i**2 - 11*i - 11. Let p(y) = 4*y**3 - 6*y**2 + 6*y + 6. Calculate 6*f(m) + 11*p(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be (42\/49)\/(1\/(-7)). Let t = r + 8. Suppose -t*s + 4*s - 89 = -3*w, -155 = -5*w - 5*s. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-m**3 - 2*m**3 + 5*m**3)*(0 - 2*m + 0) + (0*m - 74*m**2 + 0*m)*(10*m**2 + 3*m**2 - 6*m**2).\nAnswer: -522*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 16897.83 months in centuries?\nAnswer: 14.081525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -81502, -81566, -81666, -81802, -81974?\n\"Answer: -18*w**2 - 10*w - 81474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cs when two letters picked without replacement from cqmqssqqc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (0 - 2) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 + (-2 + -4 - (-6 - -6)) - -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 822 (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the third derivative of -h**6\/120 + 3*h**5\/20 - h**4\/3 - 5*h**3\/6 - 9*h**2 - 5. What is b(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -44*u**2 - 7*u + 13*u - 6*u. Suppose k - 10 = 3*k. Let s(t) = -8*t**2. Let i(y) = k*x(y) + 28*s(y). Calculate i(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 171 and 14763?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000040406888 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 3*d = 44. Let f = 1 + -2. Let o be ((f - -2) + -45)*-1. What is the greatest common divisor of o and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 68*d + 12. Is i(1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*t - 77*t - 5*t)*((3*t + 2*t - 3*t)*(-6 + 6 - 6*t**2) + 3*t - 3*t - 4*t**3).\nAnswer: 1424*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (3 - 5)*(-4895)\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1032000 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 83655.\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 45.2964 meters in millimeters?\nAnswer: 45296.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*n**4 - 35*n**4 - 2*n**3 + 6*n**4 + (4*n - 4*n + 2*n)*(-4*n**3 - n**3 + 4*n**3) - n**4 + n**4 - 4*n**4.\nAnswer: -42*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-2 + 0 + sqrt(272) + -1 + -1)**2.\nAnswer: -32*sqrt(17) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are 109 and 564 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 9.06 times -119919\nAnswer: -1086466.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m - 5*m = -8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -260 + 153. Let y = h + 191. What is the greatest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-78)\/(-42))\/13*4\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/l**(-2\/3)*l**(-13))**(-7\/6)\/((l**(-11)\/l)\/(l*l**10*l*l))**(-17) assuming l is positive.\nAnswer: l**(-3706\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 10\/161 and 71\/9.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s**3 - 9*s**2 + 10*s + 24. Give i(-5).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -87\/4 in -2\/31, -3\/4, -168.41?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a be (7 + -5)\/((-1)\/1). What is the closest to 0 in 3, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9663.\nAnswer: 3, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -k - 2*k**3 - 5 + 27*k**3 + 18*k**4 - 8*k**3 + 15*k**3 - 16*k**4 in the form m + y*k + b*k**2 + o*k**3 + g*k**4 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 6*x**2 - x + 1. Let v(p) = -41*p**2 - 3*p + 1. Give -v(r) + y(r).\nAnswer: 47*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 31 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 9 - 7 + 0 - 2*y. Let a(p) = 4*p**2 + 2*p + 1. Let k = -2 - -1. Let s be a(k). Let j(u) = -u + 1. Give s*f(o) - 8*j(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.20999905 + -0.21. Round h to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1100587634 is divided by 135.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 3, 40, 13, -0.4 in decreasing order.\nAnswer: 40, 13, 3, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 98, 4, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from njnloxj. Give prob of picking 1 n and 2 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 3403889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.0591 + 17.0091. Let z = -17.3 + 0.3. Let m = i + z. What is m rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 83 bigger than 412\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(1\/3))**(1\/58)*(g*g**(-1)\/g*g)\/(g\/((g\/((g*g\/g**4*g)\/g))\/g))*g\/(g**(5\/4)\/g*g)*g**2*g\/(g*g**(-1\/2)*g*g)*g*g*g**3*g*g assuming g is positive.\nAnswer: g**(2873\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5745 + -1115?\nAnswer: -6860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 5, 10, 3 in decreasing order.\nAnswer: 10, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let 2*h**3\/17 + 2076*h**2\/17 + 122*h = 0. What is h?\nAnswer: -1037, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1.6 (b) -2 (c) -2.12 (d) 4\/9 (e) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34040 is divided by 387.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 5\/4*i**3 - 155\/4*i + 75\/2*i**2 = 0 for i.\nAnswer: -31, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(143) - (sqrt(143) + (-2*sqrt(143)*5 - sqrt(143)) + sqrt(143)))\/((sqrt(275) + sqrt(11))*-1).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3915878 to the power of 1\/2, to the nearest integer?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -12*c + 14. Let p(a) = a - 1. Let l(i) = 5*n(i) + 70*p(i). Let o = 257 - 176. Let r(h) = 84*h + o*h - 165*h + 3*h**2. Determine l(r(j)).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 17, 37, 69, 119, 193, 297?\n\"Answer: r**3 + 13*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be 51\/7 + (-2)\/7. Let r = 10 - 12. What is the units digit of r\/3*(4 - l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ooooooofoooooooooooo. Give prob of picking 1 f and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 21133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be 560\/(-385)*(-99)\/6. Solve -394*o - y = -402*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the second derivative of -o**5\/4 - 163*o**2\/2 + 2*o + 38. Let d(s) be the first derivative of f(s). Let m(v) = 11*v. Determine d(m(r)).\nAnswer: -1815*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4351.2 or -0.5?\nAnswer: 4351.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - -0.07841233.\nAnswer: -2.92158767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2341397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -57*b - 169. What is h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 4962054398 to the power of 1\/2, to the nearest integer?\nAnswer: 70442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose m**4 - 129702*m**3 + 1037557*m**2 - 648420*m - 6484700 = 0. What is m?\nAnswer: -2, 5, 129694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 22640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q = -3*q + 120. What is the smallest common multiple of (2\/5)\/((-2)\/q) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -8611*u**2 - 10*u. Let f(z) = -2*z. Determine f(q(j)).\nAnswer: 17222*j**2 + 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xgxxtpgxpxgxggxp. What is prob of sequence gp?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 108 = 14*z + 10824*k - 10825*k, 58 = 4*z - k - 0*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -g**2 + 5*g - 3. Suppose 2 = 2*i - t - t, 0 = -3*i + t + 5. Let l be 9\/i - 3\/6. What is the units digit of b(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 17*v. Let s(i) = -5*i. Give s(b(o)).\nAnswer: -85*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:32 AM and 12:21 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 19*c - 13*c - 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1784? (a) -4 (b) 2\/9 (c) -0.04 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*i**2 + 39*i**2 - 126*i**2 + 46*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1821927?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*r**4 + r + r**2 - 9*r**4 - 3*r**2 to the form a + y*r**2 + i*r + m*r**3 + u*r**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 49871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: ((-21)\/(-12)*(-12)\/(-14))\/((-183)\/488)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 88978612*w**2 + 1908035 wrt w.\nAnswer: 177957224*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 5408905169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 2415, 2513, 2611, 2709?\n\"Answer: 98*t + 2317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2690979 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 191\/4 - 48. Let g = -13.1 - -13. Which is the nearest to -0.1? (a) 1\/5 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = 3*u + 12. Suppose -k + u*k = 50. Calculate the highest common factor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 20 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 20 = 0, 13 = -4*m + m - r. Let d = -4 - m. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -5*g**2. Let k(p) = -p - 3. Let b be 6 - (1 - -1) - -1. Let i(m) = -2*m - 5. Let d(v) = b*k(v) - 3*i(v). Give d(u(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 0 >= 29\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5787, -6353, -6919, -7485, -8051, -8617?\nAnswer: -9183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) 10 (b) 0 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 1 + 5)*(359 - 359 - 469*w**2) + w**2 - 4*w**2 + 2*w**2 as f + k*w + x*w**2 and give x.\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4\/3*51\/(-34). Calculate the remainder when -5 - j - (0 - (1 - -31)) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5325293 divided by -22?\nAnswer: -5325293\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = -649 - -653. Let h(g) = -g**2 - 5*g + 3. Suppose -k + 10 = -0*i - i, 5*i = -5*k. Let m be h(i). Put 8, a, m in descending order.\nAnswer: 8, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes before 12:35 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 2 + 3)*(g + 0*g + g) + (-10*g - 8*g + g)*(2 - 3 - 1).\nAnswer: 38*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 12.8 + -950\nAnswer: -937.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 285\/38*(-10)\/25.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 415 (b) 0.3 (c) 3 (d) 5\/16 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -16*h**3*q**2 - 30011*h**2*q**3 - q**3 + 191*q**2 - 9*q - 1 wrt h.\nAnswer: -48*h**2*q**2 - 60022*h*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 55\/(-15) - -4 - 65\/105\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -42*g = -127*g - 340 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8 - 4. Suppose -4*x = -2*s - 4, 17 = x - 6*x - 3*s. Let m be -1*(x - -3) + 38. Calculate the greatest common divisor of m and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2609 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3.48 + -2.5. Let o = 0.02 + q. What is the smallest value in -1, o, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3560945 tonnes in milligrams?\nAnswer: 356094500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -79*n - 35. Let v(w) = -644*w - 280. Calculate 17*g(u) - 2*v(u).\nAnswer: -55*u - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -27412\/3*c - 12*c**3 + 13712*c**2 + 4568\/3 = 0. What is c?\nAnswer: 1\/3, 1142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2184 and 127764?\nAnswer: 255528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the first derivative of -39*t**3 + 101*t**2\/2 - 8. What is the second derivative of a(b) wrt b?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 21 = -5*i, -3*i - 16 = -5*v + 8. Differentiate 277*z - 65 + 7*z**v - 298*z - 6*z**3 wrt z.\nAnswer: 3*z**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o**4 + 4*o**3 + 4*o**2 + 4*o + 1. Let u(c) = -3*c**4 - c - c**4 - c**2 + 0*c**4 - c**3 + 3*c**4. Let x(l) = -i(l) - 4*u(l). Differentiate x(z) wrt z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1000 (base 2) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) be the second derivative of 2*i**7\/105 - 7*i**6\/50 - 3*i**5\/10 + 11*i**4\/12 + 16*i**3\/5 + 18*i**2\/5 - 5013*i. Let g(y) = 0. Calculate y.\nAnswer: -1, -3\/4, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 13) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-1144)\/2288*11\/((-2178)\/(-24))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4938 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -15? (a) -3 (b) -2\/11 (c) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 210\/(-80)*12\/(-14) and 119\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 12 = 3*n. Suppose 7*c - 13 + n = 0. Suppose 5 = 5*u - 0. What is the greatest common divisor of c and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5084085?\nAnswer: 3, 5, 73, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/(0 + 6\/105). Suppose 2*h - 13 + 1 = 0. Suppose h*a = v - 33. 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 is -15d (base 15) in base 13?\nAnswer: -1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1138 = -9*c - 238. Calculate the highest common divisor of c and 1850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 5\/8 of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -18*l**2 + 4*l - 2. Let o be b(2). Let u = o - -137. Suppose -5*y + u = 6. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 32.2 + -32. What is the fourth smallest value in 2, 2\/3, 2\/5, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(165)\/sqrt(11) - sqrt(15))*-6 - sqrt(15) - (sqrt(135) + sqrt(135)*4))\/(-5*(sqrt(20)\/sqrt(4)*-3 - 1*sqrt(80))).\nAnswer: -16*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1 - (9 + -3 + -3). Let m = 0.669 + -0.569. Which is the closest to -1? (a) q (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 154855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2063*s**3 - 2060*s**3 + 9005*s**3 - 4885*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is ((-15)\/20)\/(9\/(-73896)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2.3 + -0.7. Let r = 0.4 + -0.8. Let t = -304206 + 304205.5. What is the closest to -0.3 in r, t, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 224 and 9514752?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 70, 127, 182, 235, 286, 335?\n\"Answer: -k**2 + 60*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -865416 less than -118?\nAnswer: 865298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1896, 727, 3352, 5979, 8608?\n\"Answer: b**2 + 2620*b - 4517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = k**2 + 5*k + 5. Let x be v(-5). Suppose 0 = -c - 4*g + 22, c - 4*g + x = -13. What is the remainder when 6 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23719, 48883, 75493, 103549?\nAnswer: 133051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000000914 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, r: 2, a: 2, c: 1, o: 1, w: 1}. What is prob of picking 2 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/2*(-60)\/6. Solve c = -c - 4*j - 4, -a*c + 2 = -2*j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 46 or 332\/7?\nAnswer: 332\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = -0*n. Suppose 5*u - 15 = 5*b - n*b, 0 = 4*u - 12. Let 2\/3*d**3 - 2\/9*d - 4\/9*d**2 + b = 0. What is d?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(468) - -2*sqrt(468)*5)*-2 - (-3 + sqrt(468) + -5)*6)**2.\nAnswer: -16128*sqrt(13) + 369216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 211*f**3*y**3 - 10715*f**3*y**2 - 23*f**2*y**2 - 3*f**2*y - 57*f**2 - 8*f*y**3 wrt f.\nAnswer: 1266*y**3 - 64290*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 3*q + 35 = 0. Let t = -3 + q. Suppose -2*z + 26 + 12 = 3*k, 5*z - 17 = -k. Solve 0*x - k = -t*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 8 - 112?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = y - 59, 2*y + 10 = 2*t - 12. Suppose 4*d + 3*z = 24, -2*d - 9*z = -11*z + 2. Solve -4*k + 5*j + 11 = 0, -1 + t = -4*k - d*j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 1460*c**2 - c - 3. Let x be m(-3). Let v = x + -4951. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3 * -2629427\nAnswer: 788828.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is a5558ab - -2?\nAnswer: a5558ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*p = 3*y + 317, 15*y - 19*y = 4*p - 100 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16425221?\nAnswer: 16425221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 2638272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 5 + -2553454?\nAnswer: -2553446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oron when four letters picked without replacement from {o: 5, n: 2, r: 13}.\nAnswer: 13\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3.288 + 3.04. Let f = n + -0.252. Which is the third biggest value? (a) f (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a - 17. Determine j(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 100423438?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 89\/48 + 1\/(-6) and 105\/49*(-7)\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2479814?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {q: 2, m: 1, g: 4, s: 1, e: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 3*d**2 - 11*d - 2. Let w be (-32)\/(-40) + -1 + (-42)\/(-10). Let l(j) = -j**2 + 5*j + 1. Determine w*u(f) + 9*l(f).\nAnswer: 3*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 139*x - 304*x = 3630 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 8) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1988? (a) 2\/3 (b) 121 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**0)**(3\/5)\/(i**(-1\/3)*i)**(-24))\/(((i*i\/(i\/i**6*i))\/(i\/i**(-2\/3)))\/(i*i**(-3)*i**(-3))) assuming i is positive.\nAnswer: i**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 498228 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a**3\/5 + 473768*a**2\/5 - 15162562*a\/5 + 14688792\/5 = 0. Calculate a.\nAnswer: -236916, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -23, -5, -1 in increasing order.\nAnswer: -23, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -67, -70, -89, -136, -223, -362, -565?\n\"Answer: -2*k**3 + 4*k**2 - k - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6847559.\nAnswer: 31, 220889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(120)*-2 - (sqrt(120) + sqrt(120) + 3*(sqrt(120) - -1*sqrt(120))))\/(-3*sqrt(1000)*-1) + 2.\nAnswer: -4*sqrt(3)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be 84\/(-98)*56\/6. Let m = -64679\/29325 + -1\/3450. Find the common denominator of m and (-2*(-2)\/q)\/((-84)\/(-56)).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + l = 37, 3*l = 3*i + 4*l - 58. Let k = i - -32. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -4618*i - 392667. Determine h(-85).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 201515 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 - -5. Suppose m*p - 3 = p. Find the second derivative of 0*s**3 + s**p + 0*s + 3*s wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 95 + 133*v**5 + 89 - 14*v - 179 wrt v?\nAnswer: 2660*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - (-1 + (-5 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 128436 by 1529.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -119*p**3 + 10*p**2 + 355*p - 5. Let j(z) = -59*z**3 + 4*z**2 + 178*z - 2. Let w(u) = -5*j(u) + 2*n(u). Find the second derivative of w(x) wrt x.\nAnswer: 342*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 164199 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -8*g + 7. Let i(l) = 17*l - 15. Let c = -10 + 16. Determine c*i(q) + 13*y(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p**(-2\/9)*((p\/(p\/(p**(-4)*p)))\/p)\/p)\/(p*(p**2*p)\/p*p*p*p\/(p*p**(-2)*p)*p))**(-26) assuming p is positive.\nAnswer: p**(2626\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -11328*l - 102013. Give r(-9).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the first derivative of 141*g**7\/7 + 66*g**3 - 105. Find the third derivative of z(i) wrt i.\nAnswer: 16920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-8\/3)*r)\/(r*r\/((r\/r**29)\/r)*r) assuming r is positive.\nAnswer: r**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48 = 2*j - 4*j. Suppose j = -0*h + 4*h. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5.08 and -1.3.\nAnswer: -6.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1343 is divided by 30\/120 - 63*2\/(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42*g + 15*g**2 + 124 + 42*g - 7.\nAnswer: 15*g**2 + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 237 a factor of 829026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 925.5768 decades in years?\nAnswer: 9255.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -199, -302, -291, -172, 49, 366, 773?\nAnswer: 1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2267 - 2258. Solve -5*z + 30 = 50, -t = 5*c + z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 728 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 89*k - 65*k + 614856 = 0. Let c = 61770 + k. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 165 and 4565.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 16*p**5 + 26*p**3 + 2103*p - 1 wrt p?\nAnswer: 320*p**3 + 156*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 62 = f + 56 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d + 3. Let k(h) = -3*h - 8. Let b(g) = g**2 + 2*g - 3. Let z be b(0). What is z*k(m) - 8*n(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.302957092 rounded to five dps?\nAnswer: 0.30296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-172)\/1488 - (57\/342)\/(2\/(-2) + -1).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -5*x. Let v(z) = 38665893*z. Determine h(v(y)).\nAnswer: -193329465*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 341 - 335 = 2*r. Suppose -2*m = 2*m - 12. What is the second derivative of 2*b**2 - 2*b**2 + 7*b - m*b**r + 0*b**2 wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 214 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let -3*i**5 - 4125*i**4 + 4131*i**3 + 4125*i**2 - 4128*i = 0. What is i?\nAnswer: -1376, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 10 + -3 + 5 + 0 + -16 + 21\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*u = -4*u + 60. Suppose -z = -3*x + 72 + 13, u*z - 55 = -x. What is the smallest common multiple of x and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1266 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 3.287654 to one dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(-11) + 1722\/(-49)*644\/77418\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/36? (a) 4918 (b) 4\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 - 7 = 9*g. Suppose 0 = -5*f - 5*p - 13 - 7, f - p - 4 = 0. Put -3, g, f in decreasing order.\nAnswer: f, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 969*b**6 - 4*b**5 + 18*b**4 + 8*b**2 - 8693*b?\nAnswer: 116280*b**3 - 240*b**2 + 432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 219*g**2 - 5160*g - 254 + 5160*g - 226*g**2 to the form z + c*g**2 + s*g and give z.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2136*c*d*p**2 + 23*c*d*v - 9*c*p**3 - 2*d*p**3*v - 2*d*p*v - 7*d*p + 40*d*v - 3*p**3*v - 13*p**3 with respect to c.\nAnswer: 2136*d*p**2 + 23*d*v - 9*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 3 + 6*h + 2 - 4*h. Let o(f) = -f**3 - 8*f**2 - 13*f - 10. Let u be o(-6). Give l(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 600\/(-60) + -2 + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**2 - 4*x - 16. Let s(k) = 1. Let l(a) = -6*s(a) - u(a). Suppose -24*o = -15*o - 63. What is l(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1860 and 15720?\nAnswer: 487320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 19404 and 735.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**2 + i - 4. Let d = 4 + -3. Let w(c) = 10*c**2 - c + 1. Let u be w(d). Let t be 0*(3 - u\/4). What is z(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the second derivative of -5\/2*s**2 - 1\/24*s**6 - 1\/6*s**3 + 0 + 0*s**5 - 4*s + 0*s**4. Let v(p) be the first derivative of t(p). Calculate v(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -3285 divided by -365\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is p in 2*p**4\/7 - 816*p**3\/7 + 29506*p**2\/7 - 23820*p\/7 - 172224\/7 = 0?\nAnswer: -2, 3, 39, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7 - -11. Let o = r - -29. Suppose 2*c - o = -c. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1290 is divided by 380.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -842 + 1219. Let k = w + -377. Which is the closest to 0? (a) 2 (b) -34 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 13585 and 402325?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38261 divided by -6.\nAnswer: -38261\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(99)*-2)**2 - (sqrt(11)*3*4)**2.\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2916378 from 0.6.\nAnswer: -2916377.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 115902731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -6447, -25, 2 in increasing order.\nAnswer: -6447, -25, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -307 - 34?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = -39 + -56. Let a(u) = 25*u - 2. Let y be a(6). Let k = w + y. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -3, -9, -790, 0, 2 in ascending order.\nAnswer: -790, -9, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1757*b + 3*g = 1759*b - 115241, -g - 288148 = -5*b. List the prime factors of b.\nAnswer: 7, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5*b**4 + 3*b**4 + 120*b**2 - 60*b**2 - 58*b**2 - 5*b**3 + b**3 as n*b**3 + v + h*b**2 + j*b**4 + a*b and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.22 + -17.5.\nAnswer: -17.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2601054 is divided by 2550?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, 90, 2, -0.5, -3, 11 in decreasing order.\nAnswer: 90, 11, 2, 0.4, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let -b**4 - 192*b**3 - 9022*b**2 + 18624*b - 9409 = 0. What is b?\nAnswer: -97, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 8985 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**(1\/9)\/(i*i*i**(-3\/5)*i))\/(i\/(i*i**(-1\/4)*i)*i*i**(-4)*i))**(-37))**(11\/4) assuming i is positive.\nAnswer: i**(-33781\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 458575900?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3240\/16)\/15*(-220)\/(-99)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from haawwhwwahhawh. What is prob of picking 1 a and 2 w?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 4 (b) 0.06 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 47*p**2 - 242*p + 483. What is u(10)?\nAnswer: 2763","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2014.\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = -24 + 23.9. Suppose 196*t - 2 = 194*t. What is the third biggest value in t, v, -1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -405 + 221. Let w = y - -321. Does 62 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = 4*l - 15, -2*a = -6*l + 8*l - 20. Solve -2*n = 3*t + 28 - 30, l*n + 2 = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 220 and 49885.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5\/393 + 14476\/5109. What is the common denominator of g and -83\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 71*g - g**3 - 167*g**2 - 36*g - 35*g.\nAnswer: -g**3 - 167*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes before 5:32 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 43.5 - 52.62. Let b = d - -0.12. Let y = -9.3 - b. What is the closest to -1 in 0.4, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.27237 * 12.\nAnswer: 15.26844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -155792\/11 or -14164?\nAnswer: -14164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 67904.16l?\nAnswer: 67904160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -3.391 - -0.1\nAnswer: -3.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 73, 51, 21, -11, -39?\n\"Answer: s**3 - 10*s**2 + s + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 128 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 27009541 and 13828?\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -408 - -258. Let g be (((-64)\/(-6))\/(20\/r))\/(-1). What is the greatest common divisor of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 161.51649185 rounded to 1 dp?\nAnswer: 161.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor a**4 - 391*a**3 + 46590*a**2 - 1514016*a - 3217536.\nAnswer: (a - 168)**2*(a - 57)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 + 1. Suppose -p*y - 19 = -q, 5*q + 3*y - 9 = -4. Differentiate -4*u**4 + 2*u**2 - 2 + 5*u**q - 2*u**2 wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 2 d, and 1 z when four letters picked without replacement from {d: 2, z: 1, y: 1, v: 3, l: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(125)*3 + -3)*-4 + 5*(-2*sqrt(180) - sqrt(20)\/(sqrt(4)*2)))**2 + -4.\nAnswer: -2940*sqrt(5) + 300685\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -153 + 152.752. Round k to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j = -y - 1 - 9, 5*y + 5*j = -30 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1.1? (a) -0.3 (b) -0.011 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be -3*(-4)\/(-9)*-3. Let f(v) = -v**3 + 5*v**2 - 3*v + 3. Let b be f(u). Solve -3*q = 2*d + b, -d = 2 - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -457, -455, -453?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*d**2 + 3*d**2 + 7*d**2 + 70*d**3.\nAnswer: 70*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -25*g**2. Let q(u) = -2052*u. What is k(q(o))?\nAnswer: -105267600*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 455167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 92 a factor of 3128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 221\/3472266 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -21252*p**2 + 18108*p wrt p?\nAnswer: -42504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:05 AM and 4:35 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3\/(-1) + 4814\/40. Let v = 118 - p. Let q = 39\/227 + -14471\/3632. Calculate the common denominator of v and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 103 + -102.962. Let b = 1314 + -1315. Are l and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -2*l + 2. Let i be v(1). Let d = -0.3 - -0.3. Do d and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**2 + 3*z + 34. Let r be b(7). Find the second derivative of -r*t**3 - 61989*t**2 + 15*t - 3 + t**3 + 61989*t**2 wrt t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -12 * 0.1\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 5*t - 11, 3*o - 12 = -5*t. Let f = 5 + o. Suppose -1478 = f*k - 6*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**2*r**6\/r*r**(-3\/5)\/(r\/(r\/(r\/r**(-3\/5)))) assuming r is positive.\nAnswer: r**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q + 3 = -7, -5*j + 5*q = 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 25 + -5. Find the second derivative of -7*v**2 + 2*v + 18*v + n*v**5 + 7*v**2 wrt v.\nAnswer: 400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:33 AM and 8:00 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = 101\/2 + -49. Let n(s) = s**3 - 5*s**2 + 4*s - 3. Let g be n(5). Let q = 20 - g. Which is the closest to 2\/9? (a) z (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) be the third derivative of g**5\/60 - 3*g**4\/8 + g**3\/6 - 33*g**2. What is t(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 22 = -q. What is the remainder when -7*(-1 - (4 - 2)) is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00041598 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27 divided by -8.\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-six fifths of a decade in months?\nAnswer: 1104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 8) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y**2 - 35*y - 191. Let u(g) = 3*g**2 - 4*g + 13. What is the remainder when u(6) is divided by c(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -6*t**3*w + 9*t**2*w + 187*w with respect to t.\nAnswer: -18*t**2*w + 18*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*w + 3, 1246 = 2*k - 5*w. List the prime factors of k.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 56\/(-32)*(8 - 1)\/(-49)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2991492 divided by -71226?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -4*s**3\/5 - 164*s**2\/5 - 876*s\/5 - 252 = 0.\nAnswer: -35, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 105*d**4 - 5*d - 16. Let f(w) = 5 + 76*w**4 - 29 - 8*w + 81*w**4. Let l(k) = 5*f(k) - 8*s(k). What is the derivative of l(b) wrt b?\nAnswer: -220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.000863385 times 8\nAnswer: -0.00690708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ccoc when four letters picked without replacement from ooocccococccc?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 - 4. Let n = y + 2. Let v = 538.05 + -537.85. What is the nearest to n in v, 3\/5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -203, -375, -545, -713, -879?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-5 - -5)\/(-17 + -3 + 17). Let f = -11 - -8. Let a = f + 5. Solve -3*k + k - 3*h - a = y, -k - 1 = 5*h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + w - 23 = 0, 24 = 4*r + 4*w - 12. Suppose -r + 5 = -t. Find the common denominator of -46 and 3\/t - 53\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -57, -5, 41, -2, 13 in increasing order.\nAnswer: -57, -5, -2, 13, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -20400 or 3?\nAnswer: -20400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 6749437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2 + 0 + 18\/8. Let d = -0.17 - 7.83. Let c = d + 7.6. What is the second smallest value in 0.3, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*g**4 + 4*g**4 + 2*g**3 + 5*g - 4*g + 0*g**4 - 1 in the form l + o*g + s*g**3 + v*g**4 + u*g**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (((-32)\/44)\/8 + (-4470)\/(-770))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**2 - 7*a + 4. Calculate the smallest common multiple of j(-4) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 483688284 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -36 (b) 12\/17 (c) 2\/7 (d) 0.02 (e) -35\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(96)\/(sqrt(2)*-1))\/(-2*sqrt(12) + sqrt(3) + sqrt(3)))\/((-1*sqrt(88)*-6 + sqrt(88) - sqrt(88) - sqrt(88))\/(-2*sqrt(176))).\nAnswer: -24*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 47522668189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 64*l + 2195. What is g(-38)?\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*r = 45*r - 236. Let n(y) = r*y**2 - 237*y**2 + y + 2*y + 3*y. What is n(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*a = -r - 16, 112*a - 34*a - 28*a - 5 = 2*r + 49*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8 - i**3 + 6 - 10 - 2*i to the form y*i**2 + w*i**3 + d + p*i and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/4*(-14)\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ain. Give prob of sequence ai.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -56*g**2 + 3*g + 3. Let d be i(-2). Let j = -123 - d. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -9*f**2 + 4*f + 4. Let y(b) = 8*b**2 - 4*b - 3. Let l be 4\/2*(153\/255)\/((-6)\/15). Give l*n(m) - 4*y(m).\nAnswer: -5*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 24 and 508.\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -3781 (base 12) in base 8?\nAnswer: -14221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -i**3 - 11*i**2 - 12*i - 11. Let j be (-10)\/(-2*3\/(-6)). Let k be r(j). Calculate the greatest common divisor of k and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 3*u - o - 3, 4*o - 28 = -4*u. Suppose -p + 4*j = u*j - 7, -3*p = 2*j - 5. Suppose 25 = p*c - 8. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.02 + 3.02. Let c = l + 0. Let i = -1.2 - 0.8. What is the second smallest value in c, i, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 972949 is divided by 489.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that 2*k**2\/13 - 2784*k\/13 + 19390\/13 = 0.\nAnswer: 7, 1385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3833522 and 99572.\nAnswer: 7667044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = -16 + 16.9. Let k = i + 0.1. Let q = 1391\/831 - 2\/277. What is the closest to -0.1 in -1\/3, k, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that 5*b**3 + 705*b**2 + 33135*b + 519115 = 0.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -1\/4 (b) -1 (c) 3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 313748.\nAnswer: 2, 78437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the first derivative of 4*q**6\/15 + 8*q**3\/3 - 87*q - 37. Let p(i) be the first derivative of k(i). What is the second derivative of p(o) wrt o?\nAnswer: 96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 23, 77, 119, 143, 143, 113, 47, -61?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 327*j - 1169*j + 2057*j.\nAnswer: 1215*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 336935?\nAnswer: 5, 79, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be (3\/(-4))\/((-4)\/(-80)). Let s = -63 + 77. Let p = k + s. Which is the nearest to 1? (a) -1\/4 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-7)\/21)\/((-632)\/(-633) - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jbb when three letters picked without replacement from bbjbbjbjjjjjjbbbjb.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*o**3\/3 - 16*o**2 + 166*o\/3 - 40.\nAnswer: 2*(o - 20)*(o - 3)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.2 - -1.8. Which is the second smallest value? (a) 0.2 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the second derivative of u**5\/20 + 2*u**4\/3 + u**3\/3 + 11*u**2\/2 - 6371*u. Let g(f) = -f**2 - 7*f. Let v be g(-8). Calculate h(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -496 = -2*u - 2*a, 757 - 259 = 2*u + 4*a. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 + 4. Let u be (4\/16)\/(2\/40). Suppose 0 = b - r - u. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 122 = -4*d + 5*t, 0 = 3*t + 6 - 0. Let g = -12 - d. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 4 + 4)*(-2*p**3 - 3*p + p + 3*p + (-3*p + 2*p + 2*p)*(45 - 45 + 31*p**2)).\nAnswer: 29*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 5, m: 3}. What is prob of sequence mml?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 9471.573 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -8.246 (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 523 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 18434 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -13, -2, 3, -4 in decreasing order.\nAnswer: 3, -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 110.5004 weeks?\nAnswer: 66830641920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i + 0 + 0)*(-2*i**3 + 2*i**3 + i**3) + 3124*i**4 - 106 + 2237*i**4 + 108.\nAnswer: 5359*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/4*(24\/(-2))\/(1653\/(-58)).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*r**2 + 5378 + 3*r**2 + 4*r**2 - 5378.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4 - -1022?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**3 - 4*l**2 + 5*l + 3. What is the units digit of x(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -8.42893317 to 1 dp.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 52385552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in d**3 - 9161 + 23837 + 3*d**2 - 7852*d + 7852*d.\nAnswer: d**3 + 3*d**2 + 14676","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0 - (-114 + 2 - -67)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*j + 85*j - 28*j - 25*j - 22*j.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 2\/((100\/8)\/(-5))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 3*s + 11. Calculate q(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 45 + -45\/2. Find the common denominator of 91\/12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-12)\/(-20))\/((-4)\/(-60)). Suppose 0*q = -q + 3*c + u, -q - c - 7 = 0. Sort q, -4, 5.\nAnswer: -4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from eeu.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 7 - (-9 + (9 - (8 + -6)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -14669*l - 8304*l + 7294*l + 1508*l - 8210 - 2124 wrt l?\nAnswer: -14171","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 times 0.18846491\nAnswer: 0.75385964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -4*z + 6. Let g(b) = 4*b - 7. Let f(k) = -3*g(k) - 4*l(k). Let n(x) = -5*x + 4. Give -6*f(d) - 5*n(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 100*v + 33*v = -4*v + 1430 + 4050 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 530 + -432. What is the remainder when 1565 is divided by v?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5625163*f**3*i*t**2 - 340*f**3*i*t - f**3*t**2 - 3032*f**3 wrt t?\nAnswer: 11250326*f**3*i - 2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kqgllkkgkkkckk. Give prob of sequence kcq.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 556 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 8380417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 442116264 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*l - 6*l - 10. Suppose -2*b + l*k = 13*k - 2807, 1384 = b - 5*k. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1226 - -1738. Calculate the remainder when k is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 72353.7 and 2.\nAnswer: 144707.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3177 or -3223?\nAnswer: -3223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 47449, 94900, 142351, 189802, 237253, 284704?\n\"Answer: 47451*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 105 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 10 = 1. Suppose b = 2*u - 3*u. Sort u, 3, 1.\nAnswer: u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.149 + 0.149. Sort 4, y, -2\/5, -4 in increasing order.\nAnswer: -4, -2\/5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 46\/5 and -2\/151825?\nAnswer: 151825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 5709544891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 3185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*v**2 + v**2 - 2*v**2)*((-2 + 2 + 3*v)*(-3 + 4 + 0) - 4 + 4 - 4*v)*(-1 - 1 + 4 + (3 - 6 + 1)*(5 - 4 + 1)).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3 - 2.8. Let x = 57771.9 + -57768.9. Put p, -12\/31, x in decreasing order.\nAnswer: x, p, -12\/31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 530*l = -699 - 361 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -3*o - 77. Suppose -3*f = -5*b - 118, 0*b - 42 = b + 4*f. Let c be p(b). Put c, -0.2, 0.01, 0 in ascending order.\nAnswer: -0.2, 0, 0.01, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-6)\/f*f**(-2\/9))\/(f**(-1)*f*f*f*f**(-9)\/f))**(-39) assuming f is positive.\nAnswer: f**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z = 18 + 66. Calculate the smallest common multiple of z and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 2*(sqrt(180) - (4 + sqrt(180))) + -3*-3*sqrt(180))**2.\nAnswer: -324*sqrt(5) + 14589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -87 + 90. Let j = 4 + 2. Suppose 3 + j = u*g. What is the remainder when 5 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from dzdzdzz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 6625590*n - 46379135. What is x(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 612700?\nAnswer: 2, 5, 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 568 + 6228 = 2*k, -11332 = -4*k + f. List the prime factors of k.\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -19*z - 176. Calculate q(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the second derivative of x**9\/72 - 11*x**5\/30 + 3*x**2 + 6*x. Let i(w) be the first derivative of l(w). What is the third derivative of i(g) wrt g?\nAnswer: 840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 35b4 - -1?\nAnswer: 35b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 5427.6 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k + 16 = 4*s - 8, -2*k + 2*s = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes after 6:26 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*c - 5 = 2*c. Let u be ((-6)\/4)\/((-9)\/12). Suppose 3*w = 2*a - 12, a - 2*w + 19 = 26. Solve c + u = -a*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/(4 + -6)*(-7)\/7. Suppose 16*m - 1022400000 = -g*m. Round m to the nearest 1000000.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 45788179 by -45788179.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 57500 to the nearest 1000.\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence czc when three letters picked without replacement from ccziy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-4 + 4*(-2 + sqrt(2299)) + -3 + 1 + sqrt(2299) + 2)**2.\nAnswer: -345714 + 7920*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 26*c + 33*c - 313880. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1282031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from erjkrkeeperedjrr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 453572672 divided by 8099512\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12528.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 15658 - 78266\/5. Let 216\/5*a + 0 + 2\/15*a**3 - b*a**2 = 0. Calculate a.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = m**2 + 8*m + 8. Let u be d(-8). Suppose u*a + 8 = 9*a. Is 630\/a - 7\/(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -3*k + 70220, -43564 = -2*k - 3*l + 3238. List the prime factors of k.\nAnswer: 2, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 129 a factor of 287568607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002434900229 to 4 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 207356341.\nAnswer: 207356341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/4 - -1 - (-2370599)\/(-39842).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pp when two letters picked without replacement from piyuyuypiiiuybuuur?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 + (1 - 8) + 12 + -82 - -16?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -114, 175, 776, 1785, 3298?\nAnswer: 5411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 812994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find y such that -488*y**5\/5 - 9334*y**4\/15 + 364*y**3\/5 + 8358*y**2\/5 - 8768*y\/15 - 440 = 0.\nAnswer: -6, -2, -275\/732, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**2 + 10*t - 16. Let n be (-180)\/(-21) + 12\/(-21) - 0. Let f be j(n). Sort f, 5, 1, 4 in increasing order.\nAnswer: f, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 6 = -0. Let s be 4 + (-660)\/(-7 + o). Suppose -6*r + 1409 + s = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) be the third derivative of -s**7\/140 + s**6\/10 - s**5\/8 - 25*s**4\/8 - 66*s**2. Solve a(u) = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 300\/375 - (-62)\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 266312 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00004087489 to six dps.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 87719422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 305.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12 and 214?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1780 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 3*k**2 - 3*k - 12. Let x be u(3). Does 18 divide x\/10 + 16596\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from epaeeovvopvap. What is prob of picking 1 e, 1 a, and 1 v?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the second derivative of -24*l**7\/7 - 542*l**6 - 3682*l**5\/5 + 527*l**4 + 972*l**3 + 448*l**2 + 12510*l. Determine p, given that c(p) = 0.\nAnswer: -112, -1, -1\/3, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwqzuzkr. Give prob of sequence krwq.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -25\/176 and 83\/1848.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be 28\/8 - 3\/2. Suppose m = 5*o - 5, -2*m + i*o + 1 = 3. Suppose m = -2*n - 2*n + 440. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 49719144 is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75 + 90 = 5*r. Let z = r - 34. Let l = z - -9. What is the lowest common multiple of 6 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -29387510*v**4 + v**3 + 322923914.\nAnswer: -117550040*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -2\/47, 3.\nAnswer: -1, -2\/47, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 97 + 57. Suppose 92*r - 634 = 102. Suppose -n - a = -r*n. What is the highest common divisor of n and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -21211 (base 3) to base 15\nAnswer: -e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eqmfsqq. What is prob of picking 1 m, 1 s, and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -5*a**5\/4 + 78055*a**4\/4 - 76264500*a**3 + 836550000*a**2 = 0. Calculate a.\nAnswer: 0, 11, 7800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = 5*o - 215, -4*c - 30 - 3 = -o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -18*q - 75 + 24*q + 75. Let d(w) = -112*w + 2*w**2 - 4*w**2 + 112*w. Calculate d(u(x)).\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -21276 + 1641 = 1309*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**2 - k - 1. Let l(b) = b - 13. Let h(n) = -2*n - 6. Let a be h(-8). Let u be l(a). What is the smallest common multiple of 11 and j(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*b - 1 - 49*b + 173*b + 246*b in the form d*b + y and give d.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the third derivative of 0 + 0*u**4 + 0*u**3 + 106*u + 1\/30*u**5 - 2*u**2. Let z(c) = 7*c**2 - 7*c. Determine w(z(x)).\nAnswer: 98*x**4 - 196*x**3 + 98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 2*w**2 - 7*w + 2*w - 10*w + (20 - 20 + 10*w)*(4*w - 2*w + 0*w) in the form r + t*w**2 + m*w and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 20110210 (base 3) to base 11\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/15 in 3, 5, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1665515.\nAnswer: 5, 333103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -5459, -5448, -5437, -5426?\n\"Answer: 11*i - 5470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**3 + 15*t**2 - 11*t - 38. Let u be r(-14). Suppose -u = -13*w + w. Suppose -5*m = -0*m - 510. What is the remainder when m is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -331101333 (base 4) to base 14\nAnswer: -67691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 32 times 0.3397?\nAnswer: 10.8704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -33004.42 rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 - 1. Let p = -22 + 12. Let n be 4\/p + (-6)\/(-40). Which is the closest to 0? (a) 5 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 3767 = -3*u - 3763, f - 2*u = -1. What is the nearest to -1 in f, 1\/7, 812?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -4*g - 3. Let c be f(-4). Let u = 8 - c. Let h(d) = -d**3 - 5*d**2 - 5. Calculate h(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 12671 or 32008?\nAnswer: 12671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8152518 and 2020.\nAnswer: 81525180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 3107.209 micrometers to nanometers.\nAnswer: 3107209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000704 to five dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 54 = -11*i. Solve -4*d = -2*d - i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -624.000000331 - -624. Round g to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 80852397 - -1831259.\nAnswer: 82683656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 400 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10 + -7. Suppose -5*j + 56 = 3*j. Let w = j - f. Solve -w*q + 20 = 2*u, 5 = 4*u + u + q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(1\/4)*f**(-1))\/(f**2)**(-23))**(-38\/5) assuming f is positive.\nAnswer: f**(-3439\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.1 (b) -1\/3 (c) 0.5 (d) 7 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 3513968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16134?\nAnswer: 2, 3, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(168)\/(sqrt(112) - sqrt(7)))\/sqrt(6))\/((sqrt(8) - sqrt(72))\/sqrt(4) - (sqrt(128) + sqrt(128) + -1*sqrt(128) + sqrt(128) + sqrt(128))).\nAnswer: -sqrt(2)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6868 is divided by 1566.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -4*w, 3*t - 14 = -w + 6. Calculate the remainder when ((-1)\/((-3)\/(-4)))\/(6\/(-54)) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -89557 (base 10) to base 11.\nAnswer: -61316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 449463815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -95 - 130 = -3*z. Let i(u) = -u + 16. Let m = -3 + -7. Calculate the remainder when z is divided by i(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -2*u + 6*u. Let v(d) = d**3 + 3*d - 3. Let r be v(2). Suppose r = -w - 3*w + 5*g, 5 = -5*g. Put 5, u, w in descending order.\nAnswer: 5, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30)\/32*86\/(-258)*(-12)\/(-10).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 947 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47512 is divided by 360?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llllmljljjljw?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 10 + 50 = 0. Solve 4*x + 5*s = u, 2*x + 0*s - s - 8 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 399906.7 years in centuries?\nAnswer: 3999.067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000003118052 to 7 dps.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2349 = 8*c + 2147. Let z = -595 - c. Let y(b) = -b. Let h(u) = -15*u. Determine z*y(j) + 2*h(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -3*k**2. Suppose 38 = -4*y - 6. Let z(x) = 2*x - 9. Let j(r) = -3*r + 18. Let g(q) = y*z(q) - 6*j(q). What is a(g(p))?\nAnswer: -48*p**2 - 216*p - 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = -12 - 18. Suppose 2*p - c = -2*t, 1 = 4*t - 5*p - 10. Solve t*o = k - 5, 7 + 2 = -k - 3*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16236 and 754479?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -1331244322 + -4\nAnswer: -1331244326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 69661662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v be -6 + -86 + (2 - 0). Let k = 92 + v. Solve -4*g = 10 - k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ssks when four letters picked without replacement from sssskssssssssss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 470 is divided by 51?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - (-2 - -10)) + (-7 - (26 - 3)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 26 (base 7) to base 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c = -4*y - 5*c + 6, 0 = 5*c + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 151\/24 and 169\/966?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -64\/91 - -11\/13. Let z = -694.4 + 694. What is the second smallest value in -5, z, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -11*f**3 + f**2 - 13*f + 4. Give k(3).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 754 divide 619535472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -3588 greater than -3586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 92245*u + 92249*u - 184494*u + 35*u**2 - 15*u**2.\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = m + 7. Let p be 8 + (1848\/20)\/(-11). Is m greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 7) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/5, 0, -4, -5, 3, 50.721 in descending order.\nAnswer: 50.721, 3, 4\/5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 14*q**2 + 4*q + 5. Let z(f) = -27*f**2 - 9*f - 11. Let m(y) = 9*o(y) + 4*z(y). Let t(v) = -v. Calculate t(m(a)).\nAnswer: -18*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 - 6 - 1 + 52*q**2.\nAnswer: 52*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 157409385 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aaahaaahahhaahaa. Give prob of sequence ha.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 76179 and 804?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*m**2 - 162*m*q**2 + 146*q**2 wrt m?\nAnswer: -4*m - 162*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (-8 - -15) + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 184 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 15573, 15577, 15581, 15585, 15589, 15593?\nAnswer: 15597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 52055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(1\/4))**42*k**(3\/2)*k*k\/k**0 assuming k is positive.\nAnswer: k**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1162475 is divided by 30591.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 228d - -5?\nAnswer: 2293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**2 - g - 2. Calculate o(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 29408230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*d**4 + 499 - 961 + 2*d + 4*d**4 - 1272*d**3 - d**2 + 462 to the form z*d**4 + g*d**2 + a*d**3 + k + r*d and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/(-4) - (1 + 5\/(-4)). Which is the closest to m? (a) 2 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 6*z**2. Let v(o) = o. Let d(i) = -i**2 + 11*i + 6. Let u be d(12). Let c(q) = 2*q. Let g(s) = u*c(s) + 11*v(s). What is x(g(y))?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = 13819 + -13816. Let h(k) be the second derivative of 9*k + 0*k**f + 0*k**2 + 0 - 1\/4*k**4. Let o(l) = 6*l**2. Give h(o(x)).\nAnswer: -108*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**3 - 16*o**2 + 4. Let f be s(-16). Sort f, 0.03, -2\/7, -1\/3 in ascending order.\nAnswer: -1\/3, -2\/7, 0.03, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (24 - 13) + ((2 - -5) + 0 - 9)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96 = 2*i - 0*i. Calculate the highest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -80 + 80. Let g = -0.5 + 0.55. Let v = -0.05 - g. What is the nearest to v in -2, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 57\/(-20) + (5\/(250\/75))\/6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 144*u + 311*u - 6096 = -53*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -22, 4, 1, -5\/7, 3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*6*(-4 + 4 + 5 + sqrt(57)\/(3*sqrt(3))))**2.\nAnswer: 1080*sqrt(19) + 8784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 20776 + -20767. Suppose 6*w = -21 + 471. What is the highest common divisor of b and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 3*w = -26 - 0, -4*a = -2*w - 76. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4596 - 4596.000001752. Round b to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b - 4 = -4*i, -2*b - 1 = -0*i - i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 - -532302641?\nAnswer: 532302636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.037, 0.045, 4?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 7*x - 8 = -2*j, -6 = -4*x - j. Let p(h) = -x + 2 - 1 + 1. Let b(y) = -2*y + 4. Let l(g) = -b(g) + 4*p(g). Let r(a) = -3*a**2. Give r(l(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = 31.23 + 0.77. Let m = o - 32.0136. What is m rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 577 = 3*j + 172, -j + 4*y = -122. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c\/c**(-6\/7)*(c\/(c**(3\/2)*c*c))\/c)\/(c\/(c*c**(-1\/6)))**(1\/3))**45)**(-3\/5) assuming c is positive.\nAnswer: c**(321\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*f + 29*f + 646 = 20*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 9, a: 10}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 3*k = 0, z - 2*k = -z + 32. What is the greatest common divisor of z and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9*n*r**2 + 198*n*r*s + 5289*n*s + r**3*s wrt r.\nAnswer: 18*n*r + 198*n*s + 3*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = s - 3*y - 27, -s - y = -24. What is the common denominator of s*(-2)\/(-28) + 0 and 67\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 14*h. Let c(s) = 3*s - 2. Let x be c(4). What is the lowest common multiple of q(1) and x*(1\/(-1) - -3)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1787 plus 100021.2?\nAnswer: 98234.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of 0 and -11202796.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes before 6:42 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 r and 1 h when four letters picked without replacement from rhhzzhrrrrrrh.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2883838 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -647 and -25884?\nAnswer: 16746948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -15551 (base 6) to base 10.\nAnswer: -2587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 106 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 5*l + 5 = 0. Let c = l - -3. Solve -3*z = c*z - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-7 - 119\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 25929073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 137 - 185. What is the hundreds digit of ((-69)\/(-4))\/((-196)\/j - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3156.4 + -3156. Which is the nearest to 1? (a) 8\/7 (b) -2\/3 (c) h (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17 + -3. Solve 4*i - 2*i + p = 2*v, 2*v + 1 = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) -2.27 (b) -10096 (c) 1 (d) 4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -703 - -708. Suppose 5*m = m + 4*n + 2352, -x*m + 2950 = 5*n. Calculate the highest common factor of m and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y - 2. Let r be x(-4). Suppose -83 + 77 = 4*z + 3*v, -4*z + 4*v = -8. Which is the second biggest value? (a) z (b) 4 (c) -6 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00070833 rounded to six decimal places?\nAnswer: 0.000708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 4*t + 46 = -230, -3 = t. Calculate the smallest common multiple of z and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 173950 + 392610 = 32*r. Round r to the nearest 100.\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 231278 + -164767. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*g = 11*g + 408. Suppose g = -6*q + 18*q. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hcasyyyaytycaay. Give prob of picking 2 a and 1 t.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1576)\/(-22)*23 - -2. Let k = 1648 - d. Suppose 24 = -15*p + 11*p + 4*q, 3*p + 12 = q. Does k = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 19*r - 2. Let q(c) = 93*c - 9. Let g(j) = 5*k(j) - q(j). Let v(z) = -5*z. Determine g(v(b)).\nAnswer: -10*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 755066*h - 755068*h + 35 = -o, 58 = h - 2*o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*h*i**3 - h*i - 37703*h + 2*i**3 + 8910*i with respect to i.\nAnswer: 6*h*i**2 - h + 6*i**2 + 8910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be -3 - (-2 + (0 - 1)). Let v(r) be the second derivative of -1\/70*r**5 + r + 1\/7*r**2 + 1\/14*r**4 - 1\/7*r**3 + x. Factor v(i).\nAnswer: -2*(i - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.3 - -0.2. Let n = -17.26 - -17. Let m = -0.06 - n. Which is the third smallest value? (a) 5 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 151802556.5 rounded to the nearest 10000?\nAnswer: 151800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1 (b) -5 (c) 3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 442 and 5252.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 224 - 132. Let h = c + -81. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 169447, 169434, 169419, 169402, 169383?\n\"Answer: -k**2 - 10*k + 169458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g\/(g*g**(2\/7)))\/g*g)**(-24)*(((g**0\/g)\/g)\/g)**(2\/75))\/((g**5*g)\/g*g*g\/g**(-1\/2))**(-3\/37) assuming g is positive.\nAnswer: g**(95639\/12950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pz when two letters picked without replacement from sspspzssslzllszslsl?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put together -3133 and -3670.2.\nAnswer: -6803.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 61521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -23 - -47. Suppose 3*v + 12 = w, 3*w + 0*v = -3*v - t. Let z be 0 - w - 5\/5. Solve -3 - 1 = z*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -19 + 14. Let m(c) = -c**3 - 4*c**2 + 5*c + 4. Let s be m(u). Put 5, -4, s in ascending order.\nAnswer: -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 7 - 4*x**2)*((0*x - 3*x + x)*(2*x - 2*x - x) + 4*x + x**2 - 4*x + x**2 + 1 - 1 + 2*x**2 + 3*x - 3*x + 3*x + x**2 - 3*x) - 2*x**4 + 0*x**4 + 5*x**4.\nAnswer: -25*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Is 2248692 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1548460 is divided by 2795?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9506401 is divided by 108.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26512 = -236*x + 246*x - 9888. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 12 - 28. Let f be 0 + 3*-2 + 0. Let x = f - a. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -12*r - 26 - 22. Let y be (2\/r)\/((-66)\/(-44)). Let z = 0.01 + 1.19. Is z bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 239037 + 4?\nAnswer: 239040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 344\/3850939 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y**(8\/7)*y*y)\/(y*y**22))\/(y\/(y**(-1\/30)\/y)*y*y**(-12\/5)))**(-1\/7) assuming y is positive.\nAnswer: y**(4303\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 61 = -95. Let w be (0 - 0) + -2*15. Let a = w - z. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.31 + 0.11. Which is the nearest to -2\/3? (a) 1\/6 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the third derivative of g**7\/210 - g**6\/120 - g**5\/20 + 5*g**4\/24 - g**3\/3 - 3*g**2. Let i(w) = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + (-4 - -7) + 13 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 30.105 - 30. Let b = -0.12 + v. Let t = -0.015059 - b. What is t rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = 3*f + 9, -5*f - 31 = -3*j - 0*j. Suppose j*t - 2*t + 5*t = 0. Suppose t = 6*z + 92 - 1058. Does 23 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of -2*c**7\/9 + 34*c**6\/15 - 133*c**5\/15 + 17*c**4 - 152*c**3\/9 + 8*c**2 - 331*c. Determine v so that g(v) = 0.\nAnswer: 2\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -3\/4, -13221, 3\/4, 0.3 in decreasing order.\nAnswer: 1, 3\/4, 0.3, -3\/4, -13221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1695, 1687, 1675, 1659?\n\"Answer: -2*p**2 - 2*p + 1699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 111455721 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*p**3 - 1 + 0 - 10*p**3.\nAnswer: -47*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 4072 = 691. Suppose -121 = 2*q - f. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 47, -5, 14?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 6698734?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 21499996 = -2*a, 2*o - o - 4299996 = -2*a. Round o to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*y = 62*y - 33 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6053\/6 - 1009. Which is the second biggest value? (a) w (b) 2\/11 (c) 0.072 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2 + 0)*(-52)\/(-8). Let j(s) = s**3 + 12*s**2 - 14*s + 6. Let v be j(q). Let i = -15 + v. Solve -5*g + 10 = -3*c + 7*c, 3*c - i*g + 8 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11583184 - -35.29?\nAnswer: -11583148.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (c**2 - 3*c**2 + 4*c**2)*(-5*c + c + 5*c) - 38*c**3 - 34*c**3 + 23*c**3 + c**3 + c**3 - 3*c**3 as i*c + h*c**2 + y + o*c**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -24 (b) 0.9 (c) -5 (d) 5998\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0\/((-1)\/(2\/2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 161 + -81. Let x be b\/3 - 6\/9. Let s = x + 103. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = 3 - 23. Calculate the smallest common multiple of h and -1 - (1 + 27\/(-3)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 433599.4 grams?\nAnswer: 0.4335994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -244506.251 rounded to the nearest 100?\nAnswer: -244500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the second derivative of l**5\/20 - l**4\/4 + l**3\/2 - l**2\/2 + 16*l. What is the smallest common multiple of o(3) and (134\/(-6))\/((-2)\/6) - 2?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/7 + 36\/28. Let o(c) = -c + 10. Let l(k) = -k + 9. Let n be l(4). Let p be o(n). Solve -r + 0*r - u = s, p*s + r = 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o = -4*v + o + 18, -2*v + 4 = 2*o. Suppose -3*w - 268 = -5*j, 0*w - 2*j = 4*w + 314. What is the least common multiple of v and (2\/(-3))\/(9\/w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/15 in 1, 5, 3\/2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 610*x**2 - 307*x**2 + 24*x - 398*x**2 + 22*x - 46*x.\nAnswer: -95*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 166, 164, 162, 160, 158?\n\"Answer: -2*l + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 490248521460\/170641 + -2872982. Let x = q + 51021719\/5119230. Let m = -106\/15 + x. What is the common denominator of m and -101\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 255 divide 185130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 802981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 493 minutes before 7:54 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -m. Let x(i) = -369 - 3*i + 368 + 6*i. Give -5*t(g) - 2*x(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*m**4 - 2588*m**2 - 3197 wrt m?\nAnswer: -8*m**3 - 5176*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from {z: 2, b: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 3\/8, -2\/3, -0.3, -2\/9?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -197 - -196. Let r = 287.4 - 249. Let a = r + -0.4. Is c smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -485582 (base 10) to base 14.\nAnswer: -c8d66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1637391769 to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 1072624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2496 + -2490. Solve -z*i - 37 = -55 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 6) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -61\/3892140 and -2\/1362249.\nAnswer: 27244980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -4*u**2 - 9*u + 1. Let b(r) = -r**2. Let h(z) = -3*b(z) + v(z). Let a be 3\/(-6) + 22\/(-4). Is h(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -47 (b) 1 (c) -228\/449 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.36 + -0.4. Let n = 0.36 + h. Let l = 0.32 - n. Is l at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:24 AM and 9:06 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -14\/360029?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 91292544?\nAnswer: 2, 3, 7, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*p + 913 = -5443. Calculate the remainder when p is divided by 78.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 - (-2 + -41))*1. Let v(s) = -s**2 - 5*s + 5. Let q be v(-4). Calculate the greatest common divisor of q and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u**3 + 20*u**2 + 6*u - 282. What is the units digit of n(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4, -2, -3\/320?\nAnswer: -3\/320","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -a + 4*f = f + 6, -4*a + 5*f = 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + (1 - -3) - (-8 + 11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 470.8799 millennia to years.\nAnswer: 470879.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 8, 0 = z + 4*o + 1871 - 48779. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -17*m**3 - m**2 + 1. Let g be q(-1). Let l = 36 - g. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1503 - 1498. Solve 5*t = 3*w - 2, -9*w - t - q = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1393*p**3 + 7 + 2791*p**3 - 4*p - 1393*p**3 in the form b*p**3 + s + t*p**2 + x*p and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = -81814110.39999991 - -81814110. Let v = n - -0.4. What is v rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1955896158 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, -15, -27292.\nAnswer: -27292, -15, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-20 - (-15 - -5) - 3) + 24\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -10591 + 11351. Calculate the greatest common divisor of 1748 and i.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -52 - 20*x - x**2 - 6*x**2 + 22*x**2 - 14*x**2. Calculate the remainder when m(27) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 15*f**2 + 1272*f - 191. Calculate c(-85).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 547 minutes after 7:52 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 7, g: 2}. Give prob of sequence gppg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1256441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the second derivative of -57*z**7\/14 + z**4\/6 + 12*z**3 - 23*z. Find the second derivative of a(d) wrt d.\nAnswer: -3420*d**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j**3 + 3*j**2 - 2*j + 1. Let k be a(3). Let n = 4 + k. Let p = -370 + 369.9. What is the closest to n in -0.2, 3\/4, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/(-4) + 0\/(-2). Let h(r) = 65*r - 1. Is 20 a factor of h(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 87 a factor of 1017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 126 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -3 + 3 + 3 - q**2 + 11*q. Let x be -3 + (-300)\/(-21) - (-4)\/(-14). Let u be i(x). Solve 2*t + 3*r = 4, 2*t + 9 = -t + u*r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1130594 minus 4.4081409?\nAnswer: -1130598.4081409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 3855 = s, -284*f + 4*s = -282*f - 7720. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 4 - 3)*(t**2 + 5 - 5) + 3 - 3 - 8*t**2 + (-19 + 19 + 12*t**2)*(-6 + 3 + 4).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -x**3 - 2*x**2 + 10*x**3 - 2 + 2*x**2 to v*x**2 + t*x + p*x**3 + q and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1912 - 4*k**2 + 1912 + 302*k.\nAnswer: -4*k**2 + 302*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2171*j - 1 + 8928*j + 1 + 34608*j to o*j + w and give o.\nAnswer: 45707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-7)\/(-1 + 4 + -2). Let w = h - -4. Let b = 8 + w. Solve 4 = b*c - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 7*i + 7. Let y(o) = o + 8. Let w be y(-4). Suppose -4*v = -2*m, -3*m + 7*v = 4*v + 3. Let b = m + w. Let n(l) = -3*l - 3. What is b*a(d) + 5*n(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3 + -2. Let m = 0.9 - f. Let u be (1\/3)\/((-7)\/35). What is the nearest to -1\/4 in -2\/3, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3869443844 plus -6.97?\nAnswer: -3869443850.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 2\/121 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22\/5*z - 6\/5*z**2 - 12\/5 = 0. What is z?\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*t + 2*h - 1 - 8, -t - 2*h - 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*x**2 + 22*x - 22*x + (0*x + 3*x - 2*x)*(-x + 0 + 0) + 0*x**2 - 2*x**2 + x**2 + 7*x**2 + 7*x**2 + 6*x**2.\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 34350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 3 = -5*k, 3*o + 3*k = 6. Suppose n + 2*f = -9, o*f = 3*n - 0*n - 9. Is n smaller than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = -2*j + 456. Let z be (135\/12)\/(3\/(-12)). Let t = j + z. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*g - 594 = 2189. Let r = 256 + g. Let n = 3 + -2.6. Which is the closest to 2\/7? (a) n (b) 1\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -5*z - 21. Let a(i) = 7*i + 5. Let j be a(-2). Suppose -2 = 3*k + 4. Let l(b) = b + 5. Let o(u) = j*l(u) + k*t(u). Differentiate o(p) wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 422\/5 (b) -2\/3 (c) -3\/34 (d) 1\/4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 14030 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 -4*i - 20 = 0, -u = 4*i - 2*i - 8. What is the remainder when u is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/4)\/((-1)\/(-28)). Let s be (-52)\/o - (-2)\/7. Let c = -178 - -1243\/7. Sort s, c, -1\/3.\nAnswer: c, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1 - -1) + 8\/2. Suppose 0 = -4*y + s + 5, -2*s + 2 = 2*y - 8. Suppose -y*q = -22 - m. What is the remainder when 26 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-18 - (-10 + (-16 - -19))) + -12.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 65*y - 2657. What is t(41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 5 smaller than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 109, 308, 675, 1294, 2249, 3624, 5503?\n\"Answer: 14*y**3 + 101*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-60)\/((-1230)\/41)*295\/(-10).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(3\/5))**(-5\/9))**(-3\/17)*((d*d**(-2\/11))\/d)\/d**(2\/5)*(d**(-2))**3 assuming d is positive.\nAnswer: d**(-6099\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (21 - 14 - (-7 - 0)) + 1 + 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/21? (a) 4 (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2050032517?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 32 - 32. Solve n*k + 5 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 8 and 670\/83 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-84 + 8*y + 84)*(-2*y - 8*y + 7*y)*(y**2 - y**2 + 3*y**2)*(1 + 14 + 3)*(0 - 2 + 3)*(-4 + 0 + 5).\nAnswer: -1296*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -0.206, 3, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the first derivative of 14*u**3\/27 - 2039*u**2\/9 + 388*u\/3 - 2822. Factor a(w).\nAnswer: 2*(w - 291)*(7*w - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) -0.2 (c) 10376 (d) 1\/230 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -564*q**2 - 316*q + 316*q.\nAnswer: -564*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - (-13 - -9 - (-1 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -7029407, -14058880, -21088351, -28117820?\n\"Answer: c**2 - 7029476*c + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 208237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4890*v**5 - 293396*v**4\/3 + 2156570*v**3\/3 - 1144456*v**2 + 312*v = 0. Calculate v.\nAnswer: -26, 0, 2\/7335, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 4*p - 24. Let v(u) = -13*u - 14*u - p*u. Let y(j) = 2*j. Determine y(v(h)).\nAnswer: -74*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 24094*m + 8384721. What is d(-348)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -60 - -120. Let j = 58.92266 - -1.05634. Let f = j - w. What is f rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**2. Let v(a) = -89*a**2 - 74*a**2 - 2*a + 144*a**2. Calculate v(w(o)).\nAnswer: -19*o**4 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 17931710 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find v such that -4*v**4 - 8039*v**3 - 14058*v**2 - 4015*v + 2008 = 0.\nAnswer: -2008, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 27034029 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -3001*l - 215. What are the prime factors of q(-2)?\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.038985+0.1\nAnswer: 0.138985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q + 5*m + 5, q + 4*m + 4 = -0*q. Suppose 3*v - 180 = 4*j, q = -4*v + 3*j - 5*j + 240. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 525 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 93*r + 40. Let c(a) = -45*a - 21. Determine 7*c(g) + 4*t(g).\nAnswer: 57*g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -62 times 5594\nAnswer: -346828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 456578540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-39)\/12 + 0)*-4. Let k be -5 + 8 + (-41)\/c. What is the nearest to 0.1 in k, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 2*(sqrt(242)*-3 + 4 + 0))**2.\nAnswer: -1584*sqrt(2) + 8856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 43642?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence my when two letters picked without replacement from momwzwby?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 56450637 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*l = 22*l - 63036. Let z be l\/36 - (-10)\/4. What is the greatest common factor of 8 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 + 2*v**5 + (-1 + v**3 + 1)*(3*v**2 - 4*v**2 + 0*v**2) + v**5 - v**5 - 2*v**5 - 4*v**5 - 4*v**5 + 0*v**5.\nAnswer: -9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes before 4:43 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 402552 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-12) + (24 - 984\/144).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = -2*s + 3. Is (-669 + 0\/(-1))*s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the third derivative of m**7\/420 + m**6\/240 - m**5\/120 - m**4\/48 - 9*m**2. Factor b(s).\nAnswer: s*(s - 1)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (12 - 2) + 2 - 0. Let f = -45 + 47. Differentiate -13*l**2 + 3 - 7*l**f + o*l**2 with respect to l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -855 - -852. Let c = 6 + -7. What is the closest to -2\/17 in 1, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 177 = 3*l + 162. Let t be l\/(320\/232) - (-6)\/16. What is the highest common divisor of 14 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.9566 + 4.\nAnswer: 4.9566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y**2 - 14*y + 48. Let v be c(11). Solve -g = n - 6, -5*g + 0*n + v = 2*n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3527389763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b**3 - 4*b**2 - 3*b. Let v be t(-3). Suppose v = 6*g - 3*g. What is the smallest common multiple of (g - -4)\/((-4)\/(-8)) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 470730 to the power of 1\/2, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 40 divide 197136641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 45\/6*(-14)\/21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5.867 less than -65?\nAnswer: -70.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -2*k - 4, 2*k + 3*l = -1 - 8. Suppose -2*i = k*i + 75. What is the remainder when 30*(-1 - 33\/i) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 4, p: 3}. Give prob of sequence ppp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1\/(-7))\/(-1 + 2). Let r = -828823 - -828822.93. What is the second smallest value in r, n, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1333122 (base 4) to base 15.\nAnswer: -2639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 126, -2 in ascending order.\nAnswer: -2, 5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aii when three letters picked without replacement from aiiiiaia?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -623 times -0.02?\nAnswer: 12.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 288 and 628.\nAnswer: 45216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-22 - 5 - 8)*(-5*l**2 - 2*l**2 + l**2) to the form h*l + t*l**2 + y and give t.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -223613194 - 105980138 = -332*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 37831584, 75663168, 113494752?\n\"Answer: 37831584*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s - 1. Let z(j) = 10*j - 6. Let g(q) = 5*b(q) - z(q). Suppose -5 - 11 = -4*y. Suppose 0 = 3*u - 4*c - 5, -11 = -u - 4*u + y*c. What is g(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 97 minutes after 8:38 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the third derivative of -37*k**6\/40 - k**5\/20 + 11*k**4\/24 + k**3 - 3*k**2 - 21*k. Is b(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -724230 and -724225 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put together -653752 and -0.1.\nAnswer: -653752.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/378 and -29\/988?\nAnswer: 186732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(-1 + -5 + 2*sqrt(147)))**2*-3.\nAnswer: -29952 + 8064*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-2\/7)\/c)**(-4)\/((c*c*c*c**(-1\/18))\/c)**24 assuming c is positive.\nAnswer: c**(-872\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2212022102 - 1000?\nAnswer: -2212100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 1.9 * 2\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -40 - -31. Let j = -8 - q. Let b be -6 + 6 - (2 - 3)*j. Which is greater: -3\/26 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -27*i**3 + 159*i + 207. Let q(o) = 2*o**3 - 20*o - 5*o**3 + 52 - 4*o**3 + 60*o. Let h(w) = 15*q(w) - 4*y(w). Find n such that h(n) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0 - 9. Let w = 5 + m. Let s be 4*1*2\/w. Sort -3, -1, s in increasing order.\nAnswer: -3, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 20\/(-2)*(-2 - 9\/(-5)). Let q(v) = 3*v**2 + 2*v**2 + 5*v - a*v**2 - v**2. Let i(x) = 19*x - 4*x + 9*x**2 + 9*x. Give -5*i(n) + 24*q(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 368 is divided by 368.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/205975 and 58\/105?\nAnswer: 617925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -3*t**2 + 62*t + 24. Calculate the least common multiple of i(21) and 237.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n + 634*z - 318*z - 319*z - 36 = 0, 4*n - 5*z = 55 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 8 + 847*d**2 - 1693*d**2 - 135*d - 9 + 848*d**2 in the form a*d + f*d**2 + q and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1184)\/(-222) + ((-6)\/(-2))\/(-9))*2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 164, 1010, 3202, 7418, 14336, 24634, 38990, 58082?\n\"Answer: 113*b**3 - 5*b**2 + 70*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2456 in 1, -1, -1\/3, 2435, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 5353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**3 + 4*b**2. Let h be a(-3). Let o = 9186 - 9173. Solve 12 = -h*g + o*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let j = -65.7 - -66. What is the third smallest value in j, 2\/15, -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 37 (b) -1840 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 528347 is divided by 261456?\nAnswer: 5435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 3*g + 14. Let c(h) = 3*h + 14. Determine -4*a(y) + 5*c(y).\nAnswer: 3*y + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l + 167 + 188. Let n(h) = 67*h + l*h - 136*h. Let a(g) = g. Give 3*a(s) - n(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = -3*n - 11. Let y(j) be the third derivative of -j**6\/120 - 3*j**5\/20 + j**4\/3 + 11*j**3\/6 - 84*j**2. What is the units digit of y(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 12 + -23\/3. Suppose 2*i - i = 12. What is the common denominator of i and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -94b53 (base 14) to base 7\nAnswer: -3023333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-3)\/6)\/((-4)\/24). Suppose c + 4*a = a + h, 0 = 2*c + 5*a - 8. Let x = 41 - 39. Solve -x*k - k = c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (10\/(-6))\/(7\/(-42)). Suppose 0 = 12*h - 7*h - 6*h. Solve h*u - 4*u + 5*v + 9 = 0, 2*v = -c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(1\/4)*z\/(z\/z**(-6))*z)\/(((z*z*z\/z**(-8))\/z)\/(z**(-4)\/z)))**(-34) assuming z is positive.\nAnswer: z**(1343\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 213410.\nAnswer: 2, 5, 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**2 + 3*g - 6. Let x = 14 - 10. Let d be x*(-2)\/(-8)*-2. Let p(i) = i**2 + 6*i - 12. Let c(h) = d*p(h) + 5*r(h). Determine k, given that c(k) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + -10 + (-25 + 69 - 66) - (-8 + -2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 3201123020 (base 4) to base 3.\nAnswer: 1201220120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -39422262 and -0.02?\nAnswer: 788445.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 129515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -10170*q + 37. Let k(g) = 34*g + 99. Let l be k(-3). Is j(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0005082859 to six decimal places.\nAnswer: -0.000508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 63*w + 512. Let b be y(-8). Solve -5*q + 18 - b = -5*j, 2*j - 31 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4957 is divided by 66?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d**3 + 15*d**2 - 38*d - 1. Let b be n(4). Calculate the highest common divisor of 184 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5663 (base 7) in base 5?\nAnswer: 31204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.07, 4, -0.3, -5, 0.13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*i + 0*i - 4*i)*(-3*i**4 + 3*i**4 + i**4) - 9*i - 12*i**5 + 8*i**5 + 0*i.\nAnswer: -6*i**5 - 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.08766+11854\nAnswer: 11854.08766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 27 - 323*j**4 + 322*j**4 + 9*j**2 - 9*j**2 - 23*j**3 - 6*j**2 - 20*j**3 as i*j + f*j**4 + o*j**3 + q + c*j**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 21, 276, 1035, 2562, 5121?\n\"Answer: 44*a**3 - 12*a**2 - 17*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -2.0105 (c) 0 (d) 107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 4458*n - 214055. Determine y(48).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.2 (b) 3\/4 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -1764*o + 1580541. Determine y(896).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**2 - 48*g - 324. Let w be h(54). Is -12\/415 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 32 = -0*s. What is the remainder when 45 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -6 + 3289*h - 6 + 14*h**2 - 3279*h. Let d(l) = -5*l**2 - 4*l + 4. Let x(z) = 3*a(z) + 8*d(z). Let j be x(2). Solve -2*u = -j*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 504 and 63224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 61\/4 of a meter?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g - 3*o, -2*g - 4*o = -2*o + 4. Is ((-1074)\/(-18))\/(g\/45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -2*v + 2. Let w be o(4). Let p(g) = -g - 3. Let s be p(w). Solve 14 = 4*y - b, -3*y + 4 = b - s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, -5, 157, -6\/25, -2\/7, 4\/5?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -12.989 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3395 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 146836 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 5 = 3*y, -3*g + 5*g - 4*y = -20. Let i(l) be the second derivative of 0*l**2 + 0 - 1\/12*l**g + 31*l + 0*l**3. Let u(z) = 19*z. Give i(u(h)).\nAnswer: -361*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 23334 = 3*i, 3*h - 17538 = 65*i - 61*i. Calculate the highest common divisor of h and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1*sqrt(972) + sqrt(972) + sqrt(972))\/(sqrt(726) - (sqrt(726) + 2*sqrt(726) + sqrt(726))))**2 + 0 + -1)*-6.\nAnswer: 618\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 5 + 1 + (-1 + 1 - 2)*(2 - 2 - 1) - 2 - 4 + 0 + 5 - 4 - 3)*(-57*v**2 - 920*v + 920*v) to the form q*v + k + n*v**2 and give n.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11011 + 11001110?\nAnswer: 11101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(5) + 4 + (1*-1*sqrt(5))**2.\nAnswer: sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 130957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(18)\/(sqrt(9)*1*-1)*-6 + (-1 + 1 + sqrt(128))**2 + -5.\nAnswer: 6*sqrt(2) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1069345831 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply 307 and -19.2.\nAnswer: -5894.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -m - 1 = 0, 0 = 2*q - m - m - 20 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -19041 + 209070\/11. Let f = -35 - p. Put 5, 3, f in decreasing order.\nAnswer: 5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -2*m**3 + 3*m**2 + m - 3. Let l be u(1). Let a be ((-5)\/(25\/2))\/(l\/10). Suppose -g + 404 = 5*n, a*g = -6 + 2. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 + 5. Suppose -2*q + 3*q - 5*v - 14 = 0, 0 = s*q - 4*v + 2. Is -1 + q*(1 + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2199885?\nAnswer: 3, 5, 17, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -126109575 or -126109576?\nAnswer: -126109575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -28 + 33. Suppose 4*d - x*h - 3 = -4*h, -d + 12 = -4*h. Is 22 - (0 + (0 - d)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 20 = 8*n. Differentiate 0*l**n + l**4 - 1 - 3 with respect to l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q\/(((q*q**(1\/2)\/q)\/q)\/q)))**(-3\/10)\/(q**(-2\/9)*q)**28 assuming q is positive.\nAnswer: q**(-3839\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in fifty-four fifths of a milligram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7176773.\nAnswer: 7176773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/(m\/(m\/m**(1\/2))))**(-16)*(m**(-3)\/m*m)**(1\/4) assuming m is positive.\nAnswer: m**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1*11 + (6 - 7). Let u be 4\/10 - 4\/t. Solve 0*a**3 + 2\/7*a**4 + u*a + 0 - 2\/7*a**2 = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes after 9:02 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 132 + -129. Solve -q*r = -1 - 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the first derivative of -11*l**3\/3 - 27*l + 24. Let j be c(12). Let i = 3368 + j. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 709 + -695. Suppose -14*u = k*u - 18648. Calculate the remainder when u is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*h + 78*h + 12408 = -146*h - 4224 for h.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 529319981 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 10 in -1\/10, -3, -47\/5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 14) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 5*t**3 - 8*t**2 - 6*t. Let l(w) = -11*w**3 + 17*w**2 + 13*w. Give 6*l(o) + 13*y(o).\nAnswer: -o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -28 in -2\/7, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*c + c - 9*c + (-31 - 26 + 35)*(3*c + 0 + 0))*(-6 + 6 + 1).\nAnswer: -71*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -9 + 13. Let i = u + -4.2. Let m be 10 + 477\/(-45) + 0. What is the closest to -3 in i, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -r**3\/3 - 7114*r**2\/3 - 127553*r\/3 + 1241800\/3.\nAnswer: -(r - 7)*(r + 25)*(r + 7096)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 216557 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the third derivative of 0*p**7 + 3*p**2 + 1\/168*p**8 + 0 + 0*p**5 + 0*p**6 + 0*p - 5\/12*p**4 + 0*p**3. Find the second derivative of g(v) wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -4*(228\/240)\/19. Let y = -8 - -8.2. Let q = -119\/15 + 38\/5. What is the closest to y in -2\/9, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*w**3 - 2*w**3 - 3*w**3)*(-9*w + 5*w - 14*w)*(-4 + 1 + 0).\nAnswer: -108*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0004019 to five decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 3, 1\/4, 1\/19, 0.1?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1111 - 101111010001?\nAnswer: -101111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: ((-48)\/21)\/((-60)\/210)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1161 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: Suppose 8*q - 12*q - 4 = 0. Let a(m) = 1. Let j(o) = -2*o - 8. What is q*j(u) - 8*a(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 23122 (base 4) to base 6.\nAnswer: 3214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2787 is divided by 72.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 46*d**2 + 8*d - 23. Let h be 3\/(-6) + (-45)\/6. Let x be n(h). Suppose 1023 - x = -2*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 129869 (base 10) in base 15?\nAnswer: 2872e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1402, -1401, -1400, -1399?\nAnswer: -1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-56)\/(-700))\/((-2)\/20)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 36*j - 296. Determine p(7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**3 - 5*l**2 - l + 7. Let s = 3 + 2. Let z be q(s). Suppose z*a = 6*a - 452. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2535212831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 3*x = -x + 217, 3*x = 5*u - 213. Suppose 5*c = 2*c, -v = 2*c + u. What is the common denominator of v and (-68)\/70 - (-6)\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = -i - 8*r + 15, 5*r = -2*i + 29. Let n(g) = 2*g + 16. Let t(y) = 1. Determine i*t(x) - n(x).\nAnswer: -2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -17*b - 4269*b**2 + 0*b + 4279*b**2 in the form j*b**2 + f + i*b and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 26905433.3 rounded to the nearest 100000?\nAnswer: 26900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - ((-2 - (3 - -58)) + (-4 - (-5 - 2))).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 79136615?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 2*r. Suppose -2*b + 8 + 34 = r. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 0 - 1)*(-1 + 2 - 3) + 18 + 64 + 13)*(f**4 - 4*f**4 - 5*f**4).\nAnswer: -776*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -6*x**2 - 7*x + 6. Let j(q) = q**3 + q**2 - 1. Let g(i) = -6*j(i) - u(i). Find the second derivative of g(k) wrt k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -178 = 15*s + 77. Let a = s + 12. Let n be -2*(-4 - (-18)\/4). Put a, n, 2 in decreasing order.\nAnswer: 2, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (3 - 11) + 1 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18 + 37*z**3 + 14*z**3 - 3*z**3 + 8*z**3 + 32.\nAnswer: 56*z**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 3*x**3 + 8*x + 41. Let p(z) = 3*z**3 + 6*z + 40. Let u(d) = 3*h(d) - 4*p(d). Differentiate u(m) wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -27972914, -27972915, -27972916, -27972917, -27972918?\n\"Answer: -h - 27972913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -236 or -237?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(11) + 1 + (sqrt(396))**2.\nAnswer: sqrt(11) + 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -89*m = 87*m + 67*m - 8262 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) 4\/7 (c) -0.1 (d) -0.14 (e) 3 (f) 4712 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18756 is divided by 1719?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6546 + 13*c**2 + 4*c + 3276 + 3275)*(5 + 5 - 3).\nAnswer: 91*c**2 + 28*c + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8453208 and 25359624.\nAnswer: 25359624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*u**2 + 2*u**2 + 5*u**2)*(u - u - 2*u)*(3 - 3 - 1)*(0*u + 3*u + 0*u).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/21? (a) 0 (b) -765 (c) -2634\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u - 7*u - 5*p + 15, -u = -4*p - 8. Let k be u\/8 - (-6)\/4. Solve 3*q = -5*x + 7, -2*q - 3*x = k*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3494940*s**4 + 680*s + 5513?\nAnswer: -41939280*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 230*a = 222*a + 13664. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 174 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:03 AM and 10:25 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6515617 is divided by 625?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 259 > 259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-188)\/517)\/(2\/(-11)). Factor 1\/2*x**4 + r + 2*x - 3\/2*x**2 - x**3.\nAnswer: (x - 2)**2*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 0 = -2. Suppose g = -z*g. Suppose g = -3*c - 2*c + 175. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 189 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 139045, -9, -13.\nAnswer: -13, -9, 139045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 16\/(1 - -1) + 1. Let n = -7 + a. Calculate the greatest common divisor of 5 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 780 and 50505.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - 82*(-2)\/(-28) - -4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 500 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -4*m**3 - 2*m**2 - 3*m + 8. Suppose 0 = 4*z - 1 - 3. Let w(t) = -t**3 - t**2 - t - 1. Let n(v) = z*p(v) - 3*w(v). What are the prime factors of n(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5311595*s**4 + s**2 + 165895*s - 5?\nAnswer: -63739140*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 2*r**2 - 15*r + 151. What is the tens digit of n(-46)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11001001111010010101 (base 2) to base 4.\nAnswer: -3021322111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -7460*k - 2934*k - 24*k + 395884 = 0 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -2976, -2978, -2990, -3018, -3068, -3146, -3258?\n\"Answer: -d**3 + d**2 + 2*d - 2978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10011100 + 111?\nAnswer: 10100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 58*j - 455 = -33*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 + 26 = 5*w. Suppose 0 = 4*r + 4*y + 16, 2*r + 1 - w = y. Let o(x) = 91*x - 1. What are the prime factors of o(r)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 411126.91 to the nearest 10.\nAnswer: 411130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 589.4279 millennia in months?\nAnswer: 7073134.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**3 + b**2 + 2*b - 4. Let f be h(4). Calculate the common denominator of -11\/10 and ((-1)\/12)\/((-2)\/f).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + 1 + (2 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, b: 2, g: 3, x: 1, h: 3, a: 1}. What is prob of picking 2 b?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z**3\/5 - 78*z**2\/5 + 153*z\/5 - 76\/5 = 0. Calculate z.\nAnswer: 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the second derivative of 0 - 2*k + 0*k**4 - 3\/20*k**5 + 5\/2*k**2 + 0*k**3. What is the first derivative of l(h) wrt h?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-722)\/(-152) - 5)\/((-21)\/(-532)).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*u**3 + 5*u**3 - 1285*u + 1285*u.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 52*t + 31. Calculate x(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -19578439.93 plus -168954?\nAnswer: -19747393.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13*r**2 - 15*r**3 - 10*r**2 + 19*r**2 to h*r**3 + z*r**2 + a + p*r and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(2\/21)*z**7)**37 assuming z is positive.\nAnswer: z**(5513\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -16 + (-7 - -11) + 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 33529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 10, b: 9, e: 1}. What is prob of picking 1 b and 1 a?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -3*s**2 + 1. Let o be c(-1). Let l = o - -4. What is the units digit of -2 - (l - (2 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express m**2 - 26 + 3*m**2 + 2*m**2 - m - m**2 - 12*m**2 in the form x*m + r + k*m**2 and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 14 + 21. Let z = 69 - g. Find the common denominator of -44\/3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2458556069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 3\/5 of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 856279 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = -826 - -2202. Let d = i + -394. List the prime factors of d.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 311429579.\nAnswer: 17, 29, 37159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r + 4*t + 196 = 0, 205*t - 618*t + 207*t = 4*r - 203*t + 152 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x. Let b(q) = -85*q + 3. Let s(m) = 1. Let c = 184 - 181. Let z(h) = c*s(h) - b(h). What is d(z(f))?\nAnswer: 85*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 23840759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 11592533 to the power of 1\/2, to the nearest integer?\nAnswer: 3405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 37506862 times -0.4\nAnswer: -15002744.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-3)\/(x*x\/x**2)*x\/(x\/(x\/x**(3\/10)))*x**3 assuming x is positive.\nAnswer: x**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be (351\/26 + -14)\/(2\/(-12)). Solve 3*x + x - f = 9, 5*f - s = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8358 or -8359?\nAnswer: -8359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -17150310 divided by 295695?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (116 + 137 - 14)*(-1 - 1 - 1)*(-2*a**2 - 2*a**2 + 5*a**2).\nAnswer: -717*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 1\/3, -1\/742, -1112, -8?\nAnswer: -1\/742","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -14*p - 2. Calculate the smallest common multiple of m(-2) and 2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**2 + 2*s + 2. Let h = -5 - -3. Let u be x(h). Suppose r - u + 6 = 2*q, -3*r - 5*q = -21. Solve p = -4*d + 13, 0 = 3*d + r*p + 3*p - 31 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.01 and 84094.\nAnswer: -840.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -49, -331, -1109, -2635, -5161, -8939?\nAnswer: -14221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 6268930, 6268941, 6268954, 6268969?\n\"Answer: x**2 + 8*x + 6268921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (((-9)\/(-75))\/(-3))\/(72\/(-240))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by -1287066.\nAnswer: -1\/1287066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -287 * 0.01.\nAnswer: -2.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 3, j: 8, f: 7}. Give prob of sequence ppfj.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h + 9. What is p(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 p and 1 i when four letters picked without replacement from piipijjijjpjiijjijj?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*i = 13*i - 3*i - 174. Let z(d) = -d**3 - 4*d**2 - 4*d - 14. What is z(i)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**2 - 60*j + 50. Determine c(59).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 6164.703ug to kilograms.\nAnswer: 0.000006164703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l + 9 = 4*p, -l - 5 = -3*l - p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0008750319122 rounded to 5 decimal places?\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -a*i**3*n - 3681940*a*i**3 + 2*a*i**2*n + 2*a*i**2 - 2*a - 2*i**3 - 34*i*n + 13921*i wrt i?\nAnswer: -6*a*n - 22091640*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1009 + 1941\/2. What is the common denominator of 131\/30 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 6, j: 4, f: 5}. What is prob of sequence jji?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 274629\/41716 + 1\/31287. Calculate the common denominator of t and -35\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -0.1, -9, 0, 1, 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*b - 21*b - 10 = 0. Suppose -h + 0*d = -2*d - 55, 157 = 3*h - b*d. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -10 + 7 + (0 - -4). Let g(w) = -i - w + 1 - 3 + 1. Let a be g(-6). Let x(b) = -6*b**2 + 6*b + 1. Let z(l) = -7*l**2 + 7*l + 1. What is a*z(r) - 5*x(r)?\nAnswer: 2*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -275 + 288 = 4*p + 3*t, 2*p - 2*t = 24 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -540.1 - -541. Sort v, 0.3, 0.5 in ascending order.\nAnswer: 0.3, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11817 - 11057. Solve 772 = -2*z + r for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) -0.5 (b) 1\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the second derivative of 3*n**5\/5 - n**4\/3 - 5*n**3\/6 - n**2\/2 + 17*n. Is j(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h**3 + 9*h**2 + h - 11. Let q be g(9). Let b be q\/(1 - 0) - -2. Suppose f + 18 = 3*f - 5*s, 2*f = s + 2. Which is smaller: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + -80 + 97 + 0 + 25.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*z**3 + 30*z**2 + 207*z + 270.\nAnswer: -3*(z - 15)*(z + 2)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*o + 4*o - 10 = 2*p, -5*p + 35 = -5*o. Factor -1\/2*h**2 - h**p + 1\/2*h**4 + 0 + h.\nAnswer: h*(h - 2)*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**3 - 11*i**2 + 2*i - 35. Determine t(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -0.012, -5, 4\/129, 2, 0.3 in ascending order.\nAnswer: -5, -1, -0.012, 4\/129, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:47 PM and 10:33 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1800496, -1800495, -1800494, -1800493, -1800492, -1800491?\n\"Answer: d - 1800497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (41*a + 8*a + 24*a)*(-2*a**3 - 2*a**3 + 5*a**3) + (3 - 2*a**3 - 3)*(-5 + 5 + 3*a).\nAnswer: 67*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.18 or 10\/19?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 = -3*x - 5*o, -6*o + 2 = -8*o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -39, -41, -45, -51, -59, -69, -81?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 174*q**2 + 478 - 478 + 366*q**2.\nAnswer: 540*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -4*h**4 + 220856*h**3 - 3048585792*h**2 - 220856*h + 3048585796 = 0.\nAnswer: -1, 1, 27607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -563 + 1673. Does 74 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1326467139\/1031668 + 2\/257917. Let w = f + 1300. What is the common denominator of w and 119\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**3 + 17*u**2 + 38*u + 92. What is t(-10)?\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*s + 6094*s**3 - 108046*s**2 - 108050*s**2 + 216096*s**2 - 6095*s**3.\nAnswer: -s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-91))\/(452\/1582)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put together -2.4 and 16538207.\nAnswer: 16538204.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -8541.54775 rounded to one decimal place?\nAnswer: -8541.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 553008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**3 - 17*o**2 - 15*o + 15. Let q be d(-16). Let f be 15*q*(-3)\/18. What is the nearest to 2 in 0.5, -2\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 4*v**3 - 27*v**2 + 80*v - 13. Let y be o(4). Solve -166 + y = 7*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes after 7:22 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 9*q + 38. Let t be z(-4). What is the derivative of -2*g - 31 + t*g**4 - g - 15*g wrt g?\nAnswer: 8*g**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8570186?\nAnswer: 2, 409, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 79 - 80. Suppose 2*f + 3*u + 22 = 7*u, 2*u + 91 = -5*f. Let k = f - -16. What is the closest to v in -2\/15, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (19 - 179 + 61)*(-4 - 4*l + l + 13) in the form t + q*l and give q.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-1\/12)\/w)**(-32)\/((w**(2\/51)*w)\/(w*w**(-14))) assuming w is positive.\nAnswer: w**(1052\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 1140*l**2 + 964442*l + 1697. Calculate y(-846).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = -25, -z = 2*q - 5 - 6. Suppose -2*d + 1 + z = 0. Suppose x = 5 - d. Calculate the remainder when x is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 47*g**3 - 286*g**2 - 2819*g + 17060. Calculate n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 611 minutes after 2:05 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y = 2*y. Suppose -4*v + 10 = 5*z - 7*v, y = 3*z - 4*v - 6. Suppose 4*h - 26 = 4*i - 2*i, 5*h - 34 = z*i. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes before 7:46 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -307*c - 8693 - 77376 = -1287*c - 17469 for c.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 53*d. Let j(f) = f**2 + f + 1. Let y(w) = -3*w**2 - 6*w - 6. Let p(i) = 6*j(i) + y(i). Give n(p(g)).\nAnswer: 159*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 22*g**2 + 19*g**2 - 40*g**2. Let d(z) = -6*z. Determine a(d(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 6*r**2 + 33*r + 20. Let y(d) = -20*d**2 - 100*d - 64. Let m(g) = -16*c(g) - 5*y(g). Determine j, given that m(j) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:43 AM and 3:21 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -37, -2, -3 in increasing order.\nAnswer: -37, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 5 + (-3 - 11) + (20 + -1 - 11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 314*h**3 - 3*h**2 + h + 25. Let b(w) = -w**3 - 2*w**2 + w + 1. Let g(x) = -b(x) + p(x). What is the third derivative of g(y) wrt y?\nAnswer: 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 11100100010011101011 (base 2) to base 12\nAnswer: 39120b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: a (base 12) to base 15\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -28*v**2 - v + 5. Let m(w) = 0 - 11 - 7*w**2 + 63*w**2. Let d(h) = 11*c(h) + 6*m(h). What is the second derivative of d(o) wrt o?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -46.518 and 108.5?\nAnswer: -5047.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (4*w - 4*w + 2*w**3)*(5 - 1 - 1)*(-115 - 517 + 121) as f*w**2 + v*w + x + h*w**3 and give h.\nAnswer: -3066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -615, -1512, -2875, -4710, -7023?\n\"Answer: -q**3 - 227*q**2 - 209*q - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -t**2 + 3632*t + 3633 = 0 for t.\nAnswer: -1, 3633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 17 + -10. Let u be 57 + -3 + 4 + -2. Calculate the greatest common factor of a and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (330\/25)\/((-2)\/(-5)). Suppose -3*f + 63 = 3*w, 3*f - 2*f = -4*w + u. Calculate the remainder when f is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -5, -3, -118, 5, -4 in increasing order.\nAnswer: -118, -5, -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 2*k**2 + 0*k**2 + 21*k - 21*k. Let h(d) be the second derivative of 0 + 13*d + 0*d**2 + 0*d**3 + 1\/6*d**4. Determine l(h(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let 766*r**4 + 9152*r**3 - 1246*r**2 - 9152*r + 480 = 0. Calculate r.\nAnswer: -12, -1, 20\/383, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -3*u**2 - 781*u + 206. What is the remainder when m(-191) is divided by 192?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 6292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -10, -91664, 4\/29?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f\/(f\/f**(-4\/5)))**33)**(-2))**(-3\/4) assuming f is positive.\nAnswer: f**(-198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -3*q**3 + 142*q**2 - 45*q - 87. Let b be w(47). Is 32 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 725908 is divided by 45?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2181 + 1281. Let z be 3 + (-5)\/(u\/(-445)). Let r = 1079\/1908 - z. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(120)\/sqrt(4) + sqrt(30))*1*-2)\/((sqrt(200)*1)\/sqrt(5)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**3 + 4*i**2 + 14923. Is n(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -28.4 + 28. What is the smallest value in z, 5, -0.06?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v**2 - v - 2. Let w(i) = 12*i**2 + 15*i + 30. Calculate 15*j(a) + w(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 2 + (2 - 4) + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 1734*u**3 + 4*u**5 - 1731*u**3 + 4*u**4 + 2*u**4 - u + (u**3 - 3*u**3 + u**3)*(-3*u**2 + 3*u**2 - 3*u**2).\nAnswer: 7*u**5 + 6*u**4 + 3*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -569452*x**4 - 1022552 wrt x.\nAnswer: -2277808*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 231 and 945?\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13289*p**3 - 23*p - 98*p + 121*p.\nAnswer: -13289*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 135 = -5*s, 20*s - 18*s + 2*u + 46 = 0. Let p(d) = -d**3 - 28*d**2 - 74*d + 30. Let x be p(s). What is the greatest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 9*w**3 + 2*w**2 + 6. Let n(f) = 10*f**3 + 3*f**2 + 9. What is 6*g(b) - 4*n(b)?\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 12378 + -0.08268?\nAnswer: 12377.91732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 346704163 and 871.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*l**2 + 642*l + 644*l - 1286*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = f**2 - 7*f + 8. Let x(l) = l - 1. Let s(k) = 6*x(k) + y(k). Let t be s(0). Suppose -26 = -t*b + 54. Calculate the highest common divisor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.2, 4\/5, 7, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**3 + 54*u**2 + 156*u + 156. Let l be t(-51). Solve -2*o - 11 = p, -l*o - 6*p - 27 = -p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2223*o - 250 - 1814 - 2382 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 46*f**2. Let h(g) = g - 3. Let v(m) = -10*m + 15. Let p(n) = 5*h(n) + v(n). Calculate p(l(z)).\nAnswer: -230*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 200791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 707766219 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1770 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:55 AM and 6:27 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -21\/34 or -1?\nAnswer: -21\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 87*u**3 + 1043*u**2 + 12*u + 12. Calculate d(-12).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 8\/49 - 49171\/147. Let i = -331 - s. Which is smaller: i or 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -127 + 127 + 2*c. Suppose -7 + 3 = -2*s. Let t(v) = 3*v**2 - 3*v**2 + v**s. What is g(t(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4521 - -4520.62155. Let q = p - -0.38. What is q rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5447 + 9107. Is 61 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 665601*w**2 - 13*w - 88. Let q be j(-5). Let o be q + (3 - 11) + 6. What is o rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2094 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2 - 4) + 60\/3. Suppose -162 = -5*h + a. Suppose o - h = -o. What is the highest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ffp when three letters picked without replacement from fpoztffzf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*v**3\/2 + 4*v**2 + 267*v\/2 + 44.\nAnswer: -(v - 11)*(v + 8)*(3*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.00189 + -10.44411. Round o to 2 decimal places.\nAnswer: -10.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/7 (c) 309.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) -0.2 (c) 0.1 (d) -0.5 (e) -548\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify v*(v\/(v\/(v*v**(-2\/47))))\/v*v**(-17)*(v\/(v*(v**6\/v*v)\/v))**(-1\/14) assuming v is positive.\nAnswer: v**(-10321\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000246973 rounded to six decimal places?\nAnswer: 0.000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 36941 - -12.8\nAnswer: 36953.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(136)\/(sqrt(288)*2 + sqrt(288)).\nAnswer: sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 178 - 85. What are the prime factors of ((-49)\/(-3))\/(c\/45 + -2)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 2703, 21127, 71061, 168285, 328579?\n\"Answer: 2630*h**3 - 25*h**2 + 89*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 7*d**2 + 860*d + 7166. What is q(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uucmmmiwuc. What is prob of picking 1 w, 1 u, 1 c, and 1 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -133 (b) 0.2 (c) 28 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 3 + 0)*(3*a - 3*a - 2*a) + 12*a + 3*a - 5*a in the form p + t*a and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 38782670779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 8530 - 2293 = -3*t, 3*t - o = 10828. Calculate the remainder when t is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9377*q + 4686*q + 4689*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 727 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -436, -936, -1434, -1930, -2424?\nAnswer: -2916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 325*l - 1088*l - 1 + 1 + 447*l + 314*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 56*n. Let k be s(2). Suppose 15 - 3 = t. Suppose -2*y - 3*l + 8*l + k = 0, -3*l - t = 0. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:09 AM and 1:58 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -5a1a7 (base 15) to base 7.\nAnswer: -2304325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -6*o + 10. What are the prime factors of (-10 - -14)\/(o\/9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3.07 (b) 5\/4 (c) 2\/11 (d) -0.41 (e) 5 (f) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.07998 + 0.07998. What is the nearest to -3.63 in -0.2, 2\/9, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7873194 is divided by 191?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 419 minutes after 8:52 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -3*y**3 + 4*y**2 + 3. Let a(i) = -28*i**2 + 13. Let w(p) = 13*p**2 - 6. Let m(f) = -6*a(f) - 13*w(f). Calculate -b(o) - 2*m(o).\nAnswer: 3*o**3 - 2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 11722214 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/2 - -18*(-16)\/72?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -8394.22 rounded to the nearest one hundred?\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46 + -5 - 125 - -119.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/288 and 151\/17316.\nAnswer: 138528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = 937 + -1729. Let n be (-4)\/26 - r\/78. What is the greatest common divisor of 40 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 98 and 63.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -466.95 - -467. What is the third smallest value in -0.4, 6, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22\/4*(-2052)\/84645?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 5.06778 litres?\nAnswer: 5067.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 145 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -73*m + 83 = 959 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 116 + -1 - (12 + 0 + (75 - (158 + -63)))?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1265 and 550.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add 0.02855339277 and 0.36.\nAnswer: 0.38855339277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 7*s**3 - s**2. What is the remainder when ((-33)\/44)\/((-1)\/36) is divided by b(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/24 of a hour in seconds?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7236 and 268.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -102*u + 111*u. Sort 3, -2, u, 4 in increasing order.\nAnswer: -2, u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-9)*(-165)\/11*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -493*f**3*j*m**2 + 23*f**3*j*m + f**3*m**2 - 3*f**2 + 15*f*m**2 + 21*f wrt j.\nAnswer: -493*f**3*m**2 + 23*f**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ppb when three letters picked without replacement from bpmp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -2.697998 - -111.2916\nAnswer: 108.593602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5.9 + -6.1. What is the nearest to 3 in 2\/11, i, -5\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1820 divided by 364\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 2 d when three letters picked without replacement from {d: 2, p: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 295628 divided by 5.\nAnswer: 295628\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 871544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2147, -3379, -8891, -14383, -19849, -25283, -30679, -36031?\nAnswer: -41333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*x + 1423 = 1387. Determine f, given that -10*f**x - 25\/2*f**3 - 5*f**2 - 5\/2*f**5 + 0 + 0*f = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 41686549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d**2. Let x(n) = -120223*n. What is x(m(p))?\nAnswer: -120223*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (15*g + 14*g - 12*g)*(-5 + 5 - 2) + (2*g + 1 - 1)*(-4 + 3 - 1).\nAnswer: -38*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 65581 - 32805 + 5*h**2 - 32776.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f**3 - 5*f**2 + 1283*f + 7660. Calculate i(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 86 - 3439\/40. Let u(d) be the third derivative of 0*d**5 - h*d**6 - 4*d**2 + 0 + 2\/3*d**3 + 0*d**4 + 0*d. Differentiate u(j) with respect to j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 223 + -219. Solve -3*c + 23 = k*b - 0*c, 0 = b + 3*c - 17 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8673*h = -8667*h + 84 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -51422\/8541 greater than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -1.5 * -273034\nAnswer: 409551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-5)\/2)\/(21\/(126\/(-3))). Solve -2*r = -m*j + 8*j, 3*j + r = 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - 16) + 9 - (1 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1715 and 9065.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 7*h - 8. Give m(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -25*m**2 + 2*m + 2. Let w(i) = -126*i**2 + 11*i + 11. What is -11*g(a) + 2*w(a)?\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i\/(i**(6\/5)*i))*i**(-1\/18)*i)**44*((i\/(i*i**(2\/3)))\/i*i**(1\/6))\/(i**(-1\/2)\/i**(3\/2)) assuming i is positive.\nAnswer: i**(12497\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -36298 and -1.6724?\nAnswer: 60704.7752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -28 - ((100 - 117) + 30 + -1 - (19 - -2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**3 - 2*b**2 - 2*b - 1. Let c be a(3). Suppose -6 = -c*y - 4. Calculate the common denominator of 26\/(-129)*3\/(-4)*y and 27\/8.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 158*n - 215*n**3 + 420 + 116*n + 108*n**3 + 105*n**3 + 28*n**2.\nAnswer: -2*(n - 21)*(n + 2)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -18*p**3 + 2*p**2 - 1. Let l be m(-1). Let c(f) = f**2 + 7*f - 6. Let a be c(1). Differentiate l*d**2 - a*d**2 - 130 + 141 wrt d.\nAnswer: 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by -50336743.\nAnswer: -3\/50336743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.5 + 1.5. Which is greater: -1\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60565 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (18\/(-5))\/(-2)*(-1476)\/(-3321).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*5*(-4*(0 + sqrt(1700) + sqrt(1700)))**2.\nAnswer: -544000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1502527 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-4)\/t*t*t*t\/(t\/t**(-1\/6))*(t**(2\/3)*t*t)**(1\/17)*((t\/t**(1\/7)*t)\/t**(3\/7))\/((t**(-1)\/t*t)\/t)**(-8\/7) assuming t is positive.\nAnswer: t**(-2761\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8.15 + -0.15. Let y = -7 + n. Which is smaller: 1\/2 or y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -103*x**3\/3 - 11458748*x**2\/3 + 222500*x\/3.\nAnswer: -x*(x + 111250)*(103*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 5*w - 17 + 33 = 0, m - 11 = 3*w. Which is smaller: m or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 - 2)*(-r**3 - 2*r**3 + 4*r**3) + (-60*r**2 + 62*r**2 + 44*r**2)*(4*r + 3 + 0*r - 2*r).\nAnswer: 91*r**3 + 138*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 240 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jweiieewieeifiw. Give prob of sequence www.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 634 divide 382996230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(15)\/(sqrt(320)*1 + sqrt(5) - sqrt(5))*-5 + -3 - 4*3*sqrt(15)\/(sqrt(5) + sqrt(5)*2*-4).\nAnswer: -3 + 61*sqrt(3)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-420684)\/(-192) - (5 + 5\/(-1)). Let i = -2190 + d. What is the common denominator of i and 2\/(-2) - (-7)\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 381 and 7887081?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 41443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 37\/30 and 52\/495?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 1239, 2\/5, 4, -1, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ayaytvaua. What is prob of picking 1 u and 1 t?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(192)*-1)**2 - (sqrt(3)*-1*-4)**2) + (sqrt(3) + 1*sqrt(3) + 4 - (sqrt(243)*2 + sqrt(243))).\nAnswer: -25*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.25 - -4.35. Let s = -0.1 + g. Let y = -4.2 + s. What is the closest to -2 in -2\/7, y, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l - 62 + 122. Suppose 4*y - 7 - 81 = 0. Calculate the remainder when y is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 3*v + v = 0, 5*c - 5*v - 5 = 0. Suppose 2*a = 10 + 6. Suppose 2*y - a = c. What is the greatest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 35\/7 - (0 + 3). Suppose -v*l + 7*l - 25 = 0. Calculate the greatest common factor of l and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y**2 - 8448*y - 222352 = 0 for y.\nAnswer: -26, 2138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2.98 - 3. Let r = 0.02 - g. Which is the biggest value? (a) 2\/7 (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14837 + -14843. Sort 96, 5, 3, w in descending order.\nAnswer: 96, 5, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**(-2\/7)*b**(13\/3))\/(b*b**(-8)*b*b**(-9)))**(-10\/11) assuming b is positive.\nAnswer: b**(-4210\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 4*f**2 + 8*f + 163. Is n(-39) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the first derivative of c**4\/4 - 13*c**3\/3 - 13*c**2\/2 - 9*c - 58. Calculate q(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -78, -3\/4, 2\/9, 0, 2 in increasing order.\nAnswer: -78, -3\/4, 0, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 6 (base 10) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7429.\nAnswer: 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -338*l**3 + 193788*l**2 - 193788*l**2.\nAnswer: -338*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the second derivative of b**7\/105 + 4*b**6\/75 + 2*b**5\/25 - b**4\/15 - b**3\/3 - 2*b**2\/5 + 12*b. Factor v(t).\nAnswer: 2*(t - 1)*(t + 1)**3*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*j - 5229 = -111*j - 156*j for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be (7\/(-3) - -3)*3. Suppose 4*s - 2*y = -486, -a*s - 2*s = -5*y + 495. Let d = -51 - s. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1239, -5055, -11465, -20469, -32067, -46259?\nAnswer: -63045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 13708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 214461 a multiple of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0 (b) -20 (c) 1 (d) 0.4 (e) -4.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-2\/3))**(3\/34)\/(i**(-2\/3))**(5\/2) assuming i is positive.\nAnswer: i**(82\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the first derivative of -9\/20*l**4 + 9\/10*l**2 + 2\/5*l + 1 - 2\/15*l**3. Let g(o) = 0. Calculate o.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3884 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-14)\/(-4))\/7*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 48*n + 7. Let u be 8\/3*(-27)\/(-12). Is a(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -0*x - 30. Let t = -145 + x. What is the remainder when 47 is divided by 3\/(-12) - t\/8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9 and 1016?\nAnswer: 9144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -5*k - 5. Let f(q) = 6*q + 6. Suppose 2*h + 6 = -4*n, 5*n = -0*h + 2*h - 30. Give h*x(u) + 4*f(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-12\/13)\/(x\/x**(1\/19)))\/(x\/((x*x**12*x)\/x)*x\/(x**(8\/5)*x)*x))**(-32) assuming x is positive.\nAnswer: x**(-424032\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 8 - 44 = -3*y, -4*y - 5*c = -13. Suppose y*p = 8254 + 832. List the prime factors of p.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 102*o + 56*o - 6534 + 3562 = 4296 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -936 + 0*t**2 - t**2 - 1003 + 2006.\nAnswer: -t**2 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Express 4*b**3 - 3*b**3 + 5 - 11 + b**3 as h*b**2 + v + q*b**3 + w*b and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -5*2\/6*((-252)\/150)\/42\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x**3 - 2*x**2 + 5*x + 3. Calculate o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5 and 151?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 386472275.\nAnswer: 5, 7, 2208413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (k + 3*k - 2*k)*(1 + 1 - 3)*(2 + 2 - 2).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m**2 + 10*m + 12. Let o be x(-10). Suppose -w - o = -4*w. Suppose -3*c + w = -32. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 5 = -10*d. Suppose -5*g + 175 = 5*m, 2 = -g - d. Solve -38*l + 2 = -m*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (27 + 31 - 4)*(5*a - 2*a + 4*a**3 - a**3).\nAnswer: 162*a**3 + 162*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2476*q**3 - 4*q**2 + 4*q**2 - 2403*q**3 + 4825*q**3.\nAnswer: -54*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -5230*u - 2*u**2 - 2*u**2 - u**2 + 4*u**2 + 5220*u - 32. Give n(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = z**2 - 8*z - 10. Give f(12).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be 600\/(-90)*3\/(-5). Solve -9*i - 5 = -z*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, f: 1, c: 2, v: 1}. What is prob of sequence zcf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*z - 21*z = -2. Let c be (35 - 35)\/(-1 + z + 1). Solve l + 5*d - 2 = c, -3*l + 4 = -l - 3*d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -47, 224, -2 in decreasing order.\nAnswer: 224, -2, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1 and 4239456.\nAnswer: 4239456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be -14*(-3)\/(-24)*4. Let x = 9 + p. Solve -5*u + 11 = l, -x*l = -5*u + l + 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 740*a**2 + 16*a + 24. What are the prime factors of u(-3)?\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*o - 12*o - 168 - 63 = -4*g + 119, 3*o = 7*g - 601 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**2 + 387*y - 4732. What is a(12)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the third derivative of -m**5\/60 + 3*m**4\/8 - 3*m**3\/2 + m**2 + 4. Suppose 2 = 3*l + 5*j - 11, -l - 4*j = -2. Is b(l) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -129 - 29*v + 16*v + 125. Let z(w) = 3*w + 1. Let x(b) = n(b) + 4*z(b). Let t(d) = -218*d. What is x(t(k))?\nAnswer: 218*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h**2. Let j(w) = 28271*w. Let x(p) = -8*p. Let c(g) = j(g) + 3326*x(g). Determine t(c(n)).\nAnswer: -2765569*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 43661051?\nAnswer: 7, 31, 201203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -6514b - -14?\nAnswer: -65137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 20780 + -1591. List the prime factors of i.\nAnswer: 31, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1278371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(4\/3))**44\/(c**3)**(2\/89) assuming c is positive.\nAnswer: c**(15646\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhwhhhhhhhhhhhhhhhhh. What is prob of picking 2 h?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 121328?\nAnswer: 2, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17136*s - 10667*s - 11775*s.\nAnswer: -5306*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 1*5*((sqrt(68)*2)**2*-5 + (-5 + sqrt(68) + sqrt(68)*2 + sqrt(68))**2).\nAnswer: -400*sqrt(17) - 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = d - 20, 12 = -v - 4*d. Let a = -10 + v. Is -2*a\/(12\/93) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**5 - 3*n**3 - n**2 - n. Let y(v) = -557*v**5 + 15*v**3 + 502*v**2 + 5*v. Let z(f) = -5*r(f) - y(f). Find the third derivative of z(i) wrt i.\nAnswer: 33720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -5*g = 4*n + 45, 1397*g - 1401*g = 2*n + 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 38715353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v be -364 + 341 + 836\/36. Find o, given that -20\/9*o**2 - 8\/3 - v*o**3 + 46\/9*o = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1802551487328*f - 3*f**3 - 1802551487328*f.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 0, -11 in decreasing order.\nAnswer: 0, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-4*sqrt(84)*-1)\/((sqrt(49) - 2*sqrt(7056))\/(sqrt(7) + 1*sqrt(448))).\nAnswer: 432*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 992.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + d - 5*d = 24, -4*w = 2*d + 6. Let v = 0 + w. Suppose -2*o = 3*n + 3 + v, -o + 3 = 4*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 13 + -12.9952. What is y rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -24229, -49480, -74731, -99982, -125233, -150484?\n\"Answer: -25251*d + 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6462.776 + 6442. Let u = 21 + w. What is u rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -16*n**6 - 62*n**4 + n**2 + 60*n**4 - 4 + 2 wrt n?\nAnswer: -1920*n**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 4 - 831*x**2 + x + x.\nAnswer: -831*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:27 AM and 2:03 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -73, -309, -707, -1267?\nAnswer: -1989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*m**2 + 4*m**2 + m**2 - 57*m + 56*m.\nAnswer: 9*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 72278 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -29282 - -29282.8. What is the smallest value in -5, -219, w?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14219 - 14122. What is the remainder when 6107 is divided by h?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (4\/10)\/((2\/(-480))\/(-1)). Calculate the greatest common divisor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**2 - 11*m - 10. Let a be j(-8). What are the prime factors of 240\/a - (-5)\/(-35)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -160005.84634 - -160004. Let u = j - -1.84. Round u to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 3*b + 40 = 0. Let l(w) = w**3 - 7*w**2 + 7*w + 1. What is the remainder when b is divided by l(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the third derivative of -h**5\/60 + 7*h**4\/24 - h**3\/6 + 210*h**2. Suppose 0*a - 18 = -3*a. Determine o(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = -4*u - i, -5*u = -u - 2*i - 30. Suppose 0 = -8*q - u*q + 136. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) 17 (c) -2\/11 (d) 0.2451 (e) 57 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = 4*r + 4, 3 + 2 = -2*q - 5*r. Suppose q = -9*z + 43 + 2. What is the second derivative of -7953*o**3 - 37*o**z + 7953*o**3 + 23*o wrt o?\nAnswer: -740*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6025 - 6026. Put t, 2, -5, -7 in descending order.\nAnswer: 2, t, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16 - 973\/63 - (-1465)\/(-45)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 7*f + 33 = -2*f, -2*w - 3*f + 19 = 0. Find the second derivative of -b + 0*b + 3*b**w - 3*b**2 - 6*b**2 wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 3, -8\/11, 2, -46.6, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 69\/207*(35 + 1). Find the common denominator of -7\/60 and (1829\/(-413))\/(j\/(-7)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 148 minutes before 7:28 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v**3 - 30*v**2 - 56*v - 2. Determine o(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the first derivative of 650*c**3\/3 - c**2 - 228*c - 2. What is the second derivative of m(t) wrt t?\nAnswer: 1300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 2*n - 6. Let o be 0 + 3\/1 + 3. Let t be m(o). Solve l - i - 4 = 0, l + 2 = -i + t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the third derivative of 15*b**2 + 0*b**5 - 1\/10*b**6 + 0*b + 0*b**4 + 0 + 3*b**3. Differentiate v(g) with respect to g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 57128 and 4366?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/7, 0.17, 2\/9, -4 in ascending order.\nAnswer: -4, 0.17, 2\/9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -51 - -96. Suppose -19*i = -52*i - 726. Let q = g + i. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.83 + -0.17. What is the nearest to 1 in y, 8, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 2*l - 4*l. Let y(p) = -7*p**2 + 1 - 8 + 2*p**3 - l*p**3 + 7*p + 1. Let j be y(-8). Solve 4*w + 2 + j = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3221 - -21?\nAnswer: 3242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/(5 - (-16)\/(-3)). Let n(i) be the second derivative of -1\/6*i**p + 0 - 3\/2*i**2 + 4*i. What is the first derivative of n(y) wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**2 + 4*i - 2. Let s(u) = 2*u**2 + 12*u - 6. Let m(k) = -8*b(k) + 3*s(k). Let j(p) = p - 1. What is -4*j(x) + m(x)?\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -4*o. Suppose 12 = 5*t - k - 3*k, 0 = t + 5*k - 14. Let a(w) be the third derivative of -1\/24*w**t + 0*w + 0 + 0*w**3 + w**2. Give s(a(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 33\/14? (a) 0.2 (b) -1 (c) -275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 55639392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1122201011212 + 100?\nAnswer: 1122201012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -26824 or -26837?\nAnswer: -26837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4b + -4c2da?\nAnswer: -4c28f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 2*b - 50958 = 0, 2*v - 63*b + 67*b - 34020 = 0. Calculate the greatest common divisor of v and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1 - 0 - (-6 - (0 - 5)). Solve v - 3*v = s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -86656 and 0.1?\nAnswer: -8665.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m*m**(-1))*m)**17*m**(-6\/5)\/m**(-2\/5))**39 assuming m is positive.\nAnswer: m**(6474\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 20 + (-11 - 4) + 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 177647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 11*b**4 + b**3*j*w - 5*b**2*j + 3*j*w + 36*j - w wrt b.\nAnswer: 44*b**3 + 3*b**2*j*w - 10*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 114 - -400310?\nAnswer: 400424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 536165 is divided by 536141?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -s + 3, -6 + 2 = 3*p - 2*s. Suppose -p = 2*v + 6. Let t = 0 - v. Solve -3*q - 6 = j, -5*j + 2*q - t*q = -9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2.265 - 7.265. Which is the nearest to 68? (a) 0 (b) 1\/9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 13*i - 40. Calculate the lowest common multiple of m(10) and 135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 1, k: 6, o: 2, n: 1, l: 3}. Give prob of picking 1 l, 1 n, and 1 k.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 - 3. Let c = 0 - b. Let m = 1\/59 + -62\/177. Sort c, 1, m in ascending order.\nAnswer: m, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-40)\/5*(-8)\/(-32))\/(2\/10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -280701550887.2513653312 - -61.2513653312. Let v = -280701549123.99999221 - z. Let h = v + -1702. Round h to 7 dps.\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 398 - 275. Suppose 0 = w + 2*w + n. Let b = w - -62. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18\/(-9) - (-48 - 1 - 1) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -6.561071 to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 5, l: 1, n: 3}. Give prob of picking 1 o and 1 l.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the second derivative of 0 - 1\/18*z**4 + 1\/3*z**3 + 11*z - 2\/3*z**2. Solve h(m) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 - 4)*(0*q - 2*q + 5*q - 2*q + 5*q - q + (-3*q + 6*q - 4*q)*(-4 - 1 + 6)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 64 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -5780 by -11152.\nAnswer: 85\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5 - 3. Let j = 266795.4 + -266795. Which is the closest to -6? (a) -4\/5 (b) j (c) -4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 253*d**3 + 3*d**2 - 2. Let v(n) = -2*n**3 + 2. Determine -v(j) - z(j).\nAnswer: -251*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 27 and 8397.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -350695*b**2*m**3 + 5*b**2*m + 3*b**2 + 3*b*m**2 + m**2 + 277*m wrt m.\nAnswer: -2104170*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -5443739, -5443779, -5443819?\n\"Answer: -40*x - 5443699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 40372 (base 10) to base 2.\nAnswer: 1001110110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1463413 divided by 389?\nAnswer: 1463413\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1896 is divided by (74 - -412) + (-14)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2768 by -4.\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8*(-54)\/1152*-8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 49165 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7 + -40. Let d = i - -35. Suppose -y + 232 = -h - d*h, -5*y + 2*h = -1160. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x**3\/11 + 1730*x**2\/11 - 855498*x\/11 - 6072570\/11 = 0.\nAnswer: -1215, -7, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 36717545?\nAnswer: 5, 23, 139, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -14400000 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -5*y, -5*y - 4*v - 2 + 11 = 0. Solve y + 2 = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, -4, 2\/5, 17?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b**3 + 6*b**2 - 35*b - 149. Let t be g(-8). Solve -2*l + a - 4 = 0, -t*a = 3*l + l + 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjejjje. What is prob of picking 1 j and 1 e?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f - 7*f - 11*f)*(-3 + 1 + 1)*(-f + 2 - 2).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = -2*f + 15, -5*s - f - 2*f = 25. Suppose 4*l - 12 = 2*l. Let t(a) = -a + 8. Let v be t(l). Sort s, -4, v in descending order.\nAnswer: v, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.063, -5, -3\/5?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that 3*u**5 + 543*u**4 + 15951*u**3 - 94263*u**2 - 15954*u + 93720 = 0.\nAnswer: -142, -44, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -59684 + 5491183473?\nAnswer: 5491123789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -81968, -163937, -245908, -327881, -409856, -491833, -573812?\n\"Answer: -i**2 - 81966*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -412429*c**2 + 206218*c**2 - c + 206104*c**2.\nAnswer: -107*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 73156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d - 3. Let l be j(0). Let x be (10\/l)\/((-6)\/9). Suppose z = x*z. Put 2, 4, z in ascending order.\nAnswer: z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 908.2398 litres?\nAnswer: 908239.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = v - 163888. Let b(u) = -2*u. Calculate l(b(m)).\nAnswer: -2*m - 163888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the first derivative of r**2 + 2*r + 2. Is 4 a factor of o(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 divided by -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = 126 - 121. Suppose -f - 4*a + w*a = 6, 3 = -f - 2*a. What is the fourth biggest value in -2\/7, f, 3, -1\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*q - 2*q + 3*q)*(-2*q**2 + 6*q**2 - 3*q**2) - q - q**3 + q + (-18*q**2 + 253 - 253)*(-2*q + 2*q + q).\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 25*i + 7. Let g be v(-3). Let z = g - -147. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5732*y**2 - 4513*y.\nAnswer: 11464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 2*f**3 - 150*f**2 - 19*f + 797. Give t(75).\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*n - 20*n - 145*n)*(-3 + 3 - 1).\nAnswer: 158*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 13226, 26411, 39628, 52883, 66182, 79531?\nAnswer: 92936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*s**3 + 8*s**3 - 6*s**3 + s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6, -3, -18, -39, -66, -99, -138?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j**3 + 8*j**2 + 6*j - 8. Let y be m(-7). Let r be (-3)\/y*(-608 - 5). Is 0\/(-4) - 4 - r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m + o + 14 = m, 2*m - 3416 = 5*o - 3411 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*p**3 + 6972*p**2 + 913448*p - 2803200.\nAnswer: 4*(p - 3)*(p + 146)*(p + 1600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 + -9. Let d be (0 - t)*(-2)\/3. Does 9 divide 16 + (-2)\/d + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/465 and 33\/493025?\nAnswer: 45851325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be 105\/6*2\/10*4. Solve 2*g - k + 6 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 11 = -14, -3*d - 4*s = -29. Let a be (12\/(-1))\/(-4) + -3. Suppose a*k - d*k = -36. Solve 6*m - 3*m + k = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes before 6:21 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of ((-138)\/(-24))\/((-2)\/(-8)) and 8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -11140 + 24221?\nAnswer: 13031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*j**3 + 3*j**3 + 3*j**3)*(-10 + 42 + 30)*(0 + 0 + 2*j).\nAnswer: 124*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 3, 5, -21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -52783*b + 38661*b + 14124*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 3 = -3*k. Let l(y) be the third derivative of y**4\/24 + 6*y**2. Let h be l(3). Solve 0 - h = -k*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -u + 125128, 125125 = -60*t + 61*t + 2*u. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 91 a factor of 35855553\/3487 + 4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s - 4*c = -14, 0 = -s - 2024*c + 2020*c + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 17*c - 2952 = 0. Suppose -24*y = -76 - c. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 2221011 (base 3) to base 13\nAnswer: c85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/46976 and -99\/76.\nAnswer: 892544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((2*sqrt(90))\/sqrt(6))\/sqrt(5) + (sqrt(21) - 1*sqrt(42)\/sqrt(2))\/sqrt(7) + -5.\nAnswer: -10 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6\/5 in 8\/9, 3, -5\/1431, 5?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 7 = -2*s. Suppose -3 = -s*c + 32. Let w(v) = -v + 14. Let g be w(c). Calculate the greatest common factor of g and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 252, 246, 240, 234, 228, 222?\n\"Answer: -6*m + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16099 + 367*c**2 - 342*c**2 + 16093.\nAnswer: 25*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-2\/85)\/(o**(-7\/5)*o)*(o**(-1\/4))**(-37))**(-28) assuming o is positive.\nAnswer: o**(-22911\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20167 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 + 275?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 12*x + 183. Let r be l(-15). Let g = 8 + -6. Solve -4\/13*i**g + 0*i + 0 + 2\/13*i**r + 2\/13*i**4 = 0 for i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 4*k + 5*o, -3 - 5 = -5*k - 3*o. Suppose 17 = c - 3*d, -6*c + 2*c = -3*d - 50. What are the prime factors of c\/(-1 + 2\/k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.4 and -2.3.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from marmnlmm. What is prob of sequence nlr?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the third derivative of -w**8\/24 - 7*w**4\/12 + 7*w**2. Find the second derivative of d(i) wrt i.\nAnswer: -280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -4*c**2 + 8*c + 10. Let l(n) = -9*n**2 + 17*n + 21. Let g(v) = -46*v**2 + 86*v + 106. Let k(f) = -2*g(f) + 11*l(f). Calculate 6*k(r) - 11*m(r).\nAnswer: 2*r**2 + 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 - 3*t - 2*t - 5)*(-3 + 6 + 0).\nAnswer: -15*t + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**7\/o*o)\/o)\/(o*o**(-3\/8)\/o*o)*(o**(-1\/6)\/o)**(-3) assuming o is positive.\nAnswer: o**(79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vuvvtvtgv. Give prob of picking 1 g and 1 t.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 + 440040?\nAnswer: 440042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o + 6*y - 2*y + 28 = 6*o, -3*y = 5545*o - 5548*o + 2*y + 28 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 5, g: 1, a: 1, y: 2}. Give prob of sequence yaga.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 360 a factor of 39695040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g**5\/17 - 130*g**4\/17 + 1334*g**3\/17 + 130*g**2\/17 - 1332*g\/17 = 0 for g.\nAnswer: -74, -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z**2 + 1. Let m = -53 + 78. Suppose 0*h - h - 7 = -2*a, -5*h = m. Let s(p) = -p**3 - 5*p**2 + 5. Calculate a*s(o) - 4*i(o).\nAnswer: -o**3 - o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -0.05324832 * -2\nAnswer: 0.10649664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 4*m**2 - m + 3. Let o(r) = 14*r**2 - 2*r + 10. Let u(s) = -7*s**2 + s - 5. Let f(v) = -3*o(v) - 5*u(v). Calculate 3*f(k) + 5*p(k).\nAnswer: -k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10807, 10924, 11119, 11392, 11743, 12172, 12679?\nAnswer: 13264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 + -94.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*m + 304 = -55*m - 2*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -21\/8 (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 115898 plus 666279?\nAnswer: 782177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 10949204417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 81799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1802, 3604, 5406, 7208, 9010, 10812?\n\"Answer: 1802*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5.06739 + -0.06739. Which is the closest to -0.9? (a) 3 (b) 0.3 (c) h (d) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d = 2*l + 16, 4*d + 12 = l + l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 76, 157, 238?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1856.863 - 1828.8. Let v = o - 0.063. Let l = 27.999926 - v. Round l to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.7 in -5, -0.47, 5, 2\/21?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 0.2 (c) 13 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 12851.26 years in months?\nAnswer: 154215.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**3 + 17*v**2 + 7*v + 86. Determine p(9).\nAnswer: 797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d. Let z(u) be the first derivative of 0*u + 1\/2*u**2 - 1. Calculate z(s(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 - -7. Let j(n) = n**2 - 48*n + 303. Let g be j(40). Which is the nearest to v? (a) g (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-320)\/(-24))\/4 - 40\/18. Determine p, given that -h*p**3 - 4\/9*p**2 + 5\/9*p + 2\/9*p**4 + 5\/9*p**5 + 2\/9 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 38*s - 3276. Determine m(72).\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-6\/13)\/(j**(-29)\/j))\/(j\/((j*j\/j**1)\/j)*j*j**19) assuming j is positive.\nAnswer: j**(111\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*x - x**3 + 3*x + x**3 + 2*x**2 - 2*x**2 + (2*x**3 - 4*x**3 + 4*x**3)*(1 + 3 - 6) - x**3 - 244 - 66 + 2*x**3 + 2*x**2.\nAnswer: -3*x**3 + 2*x**2 - 310","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 173673 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 209115756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -d - 5. Let t be q(-8). Suppose 4*f + 20 = 0, 0 = -0*o + t*o + f - 1. Find c such that -10 + 184*c**2 - 180*c**2 + 4*c + o = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = 6*z - 126. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 2*h**2 - 2*h - 1. Let k be v(2). Is 575\/k - 4\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 5, -14, -4279, -4, 4.\nAnswer: -4279, -14, -4, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**13\/q)**(-11\/9))**(-2\/83))**2 assuming q is positive.\nAnswer: q**(176\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 + 7. Suppose 3*r - 2 = 10. Let f = -1020 + 1023. Sort r, a, f in decreasing order.\nAnswer: a, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -25\/58561 and 31\/409927?\nAnswer: 409927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 * -44.3.\nAnswer: 17.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 2 + 2)*(0*k**4 - 3*k**4 + k**4) + (-k**3 + 0*k**3 + 4*k**3)*(2*k + 0 + 0) as a + c*k**4 + x*k + l*k**3 + j*k**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 2*r - 9. Let j(x) = x - 2. Let d(u) = b(u) + 2*j(u). Let c(o) = o - 3. Give -18*c(t) + 4*d(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2603748 and 30?\nAnswer: 13018740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.1 (b) -4.441 (c) 1497\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 6*g + 100 = 4*i, -5*i - 3*g = -125. Let q(h) = h**3 + 5*h**2 - 7*h + 8. Calculate the remainder when i is divided by q(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 337186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**3 + z + 5. Let s be -2*1 + 2 + 0. Let j be o(s). Determine k so that -2*k**3 - 3*k**5 - 3*k**4 + 0*k**j + 2*k**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**3 + 11*o**2 + 8*o - 55. Let i be x(5). Calculate the greatest common factor of i and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 2*k - 2 - k - 9*k**3 - 3*k. Suppose 0 = -r + 5*r + y + 5, 2 = -r - y. List the prime factors of d(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = 9, 3*z - 2 = f - 7. Let o = 20 + f. Let i = o + -34. Solve 0*x = 2*x + 5*h + 17, x + 2*h + 7 = i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (4 + sqrt(19) + 1 + sqrt(19) - sqrt(19)) + -5 + 0.\nAnswer: -1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -0.5, -0.6, 2, -0.033?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (80\/126)\/(2190\/7884). Factor 12\/7*o - 2\/7*o**2 - z.\nAnswer: -2*(o - 4)*(o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9*g**6 - 14*g**2 - 18*g**2 + 8*g**6 wrt g?\nAnswer: 2040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-15)\/(-3) - (-2 + 0). Let h be (4 + 2)\/1 - -1. Is q at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*s + 587 = 37*s + 27 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 27*v - 62*v + 1)*(0 + 1 - 3) to w*v + x and give w.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -165 - -171. Suppose z = l*z. Sort z, -5, 4 in decreasing order.\nAnswer: 4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7.7 + 8. Let h = 4.3 - f. Let x = -1.9 + 2. Put -2\/3, h, x in decreasing order.\nAnswer: h, x, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12726021697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2028206698.\nAnswer: 2, 7, 29, 47, 157, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3397199 or -3396997?\nAnswer: -3397199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ffoc when four letters picked without replacement from {o: 2, f: 2, c: 3, k: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -30 and 11.7?\nAnswer: 41.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -62 and -1337.41?\nAnswer: 1275.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -34*w + 2440 + 422 + 96. Calculate the greatest common divisor of 15747 and w.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -5 (b) -0.2 (c) 129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 4*m**5 + 6*m**2 + 6*m. Let g = -14 - -7. Let h(x) = 5*x**5 + 6*x**2 + 7*x. Let z(v) = g*r(v) + 6*h(v). What is the third derivative of z(l) wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -3662, -7336, -10996, -14636, -18250, -21832, -25376, -28876?\n\"Answer: d**3 + d**2 - 3684*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.41, 0.01, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is (-2 + 1)\/(((-5)\/813)\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 15497502 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be 13 + -2 - (1 + 1). Suppose 80 = -25*h + 41*h. Suppose -h*o = -z*o + 12044. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from {p: 2, g: 9, b: 3, h: 3}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tojspopt. What is prob of sequence ost?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -9*r**3 + 31*r**2 + 4*r - 17. Let h(b) = -4*b**3 + b**2 - b + 1. Let m(d) = 3*h(d) - l(d). Determine m(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -2*o. Let j = -229 + 406. Let v = 177 - j. Solve o = w - v + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56352137 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xyxxsyxmyxzxxxxxmx. Give prob of sequence zx.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = a - 3*a + 4. Let d(v) = 13*v - 69. Let c be d(5). Let f be 4\/8*4 + (c - -4). Solve -j = 3*k - f, -2*k + a = 2*j - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -18 in -2\/19, -5, 1\/8, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 - 0. Let f = 5.6 - 2.6. Which is the third biggest value? (a) f (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1328.6 + 1166. What is d rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.01 (b) 5 (c) 0 (d) -11 (e) -3 (f) -441\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(704)*-1 + 0.\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {n: 3, f: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 101010 (base 2) to base 16\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -105 (b) 0.4 (c) 0 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*f + 84 + 42 = 53*f. Solve -f*t = -250 + 214 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-10)*4160\/(-27664)*63\/(-36)*-2?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 2*m**3 - 17*m**2 - 6*m - 7. Suppose -2*y = -4 - 0. What is the least common multiple of b(9) and y\/(-9) - (-910)\/45?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -l**2 - 12*l + 4. Let c = 94 + 61. What is the remainder when c is divided by u(-7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 270 + -55. Does 36 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 53*o**3 + 37*o**2 - 8*o + 8. Let f(b) = -35*b**3 - 24*b**2 + 5*b - 5. Let n(r) = 8*f(r) + 5*v(r). Find the third derivative of n(l) wrt l.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-9260)\/25002)\/((-4)\/702)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 50*s**2 - 6*s - 6. List the prime factors of c(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the third derivative of -62*q**5\/3 + q**4\/12 - 742*q**3 - 13133*q**2. What is the second derivative of z(p) wrt p?\nAnswer: -2480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 5, e: 6, t: 3, v: 1, h: 4, k: 1}. Give prob of sequence hkhv.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -50\/247 and 1\/3002?\nAnswer: 39026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**11*a*(a*a\/(a**(-14)\/a*a))\/a*a**3*a*a*a**(-2\/11) assuming a is positive.\nAnswer: a**(350\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.9 + -18.9. Let k = f + 13. What is the nearest to k in 3\/8, 4, 5\/6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12211 + -220?\nAnswer: -20201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10292 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -161.5991 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**2 + 4*o + 20. Suppose 0 = -l + 6*l. Let g be q(l). Solve -5*y = -y - g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 908\/(-1589) + 330\/14. Suppose 2*n = 5*n - 207. What is the greatest common factor of o and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-2))\/(26\/2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is z in -17*z**2 + 16*z**3 - 8*z**3 - 18*z**3 + 45*z**3 - 2*z**4 = 0?\nAnswer: 0, 1\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.4 - -0.34. Let b = v - 0.94. What is the nearest to -2\/5 in b, -0.3, -2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - y**2 + 1)*(-6*y**2 + 13 + 5 - 2).\nAnswer: 6*y**4 - 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -4*v + 3*v. Let k(s) = s**2 + s - 7. Let c(j) = -j**2 + 6. Let r(x) = v*k(x) - 6*c(x). Determine r(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a factor of 30435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is ((-44351004)\/(-657))\/(4\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 104253*v - 417011. What is x(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 51 + 245304106?\nAnswer: 245304160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -235267220*i**2 - 20154684.\nAnswer: -470534440*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10 - 9.78. Let m = n - -1.08. Let p = 0.3 - m. Which is the second smallest value? (a) -0.1 (b) 1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1153 (base 12) in base 6?\nAnswer: -12543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c + 9*c + 3*y + 5 = 8*y, 11 = 4*c - 19*y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 + 0 - 1)*(-2 + 2 + c**2) - 3*c**2 + 4*c**2 + c**2 - 2*c + 2*c + 6*c**2 - 1)*(2 - 2 - c)*(1394*c**2 - 3084*c**2 - 1309*c**2).\nAnswer: 26991*c**5 - 2999*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oooooozsshz. Give prob of sequence zo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 4686 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 1 + 15 = -2*y, 0 = 3*z - 5*y - 26. Suppose z*o = 7*o - 315. Suppose 4*u - 23 = 5. What is the highest common divisor of o and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5029 + -5001. What is the lowest common multiple of 50 and y?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 1\/10, -2, 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 128882194?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((-1 + (-2 + -1*sqrt(1008) - (4 + sqrt(1008)*1) - (-4 + 0 + sqrt(1008) + (sqrt(1008) + -1)*2)))*3)**2.\nAnswer: 1080*sqrt(7) + 226812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 774.16315 rounded to the nearest 10?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xllt when four letters picked without replacement from {x: 13, t: 3, l: 3}.\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wu when two letters picked without replacement from ukigwwkn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1728610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -12.8 + 20.7. Let s = 8 - o. Which is the third smallest value? (a) s (b) -3\/7 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 4*m**2 - m - 5. Let b(z) = -4*z**2 + z + 6. Let u(f) = -4*b(f) - 5*c(f). Let l be u(-1). Is 94\/(-2 - 1*l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/10 + (-3 - (-50016)\/5). Round h to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y. Let x(k) = -5*k + 8. Let i(d) = -d**3 + 5*d**2 + 17*d - 23. Let t be i(7). Let b(w) = t*a(w) - x(w). Determine b(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*f + 2*a - 4 + 8, 4*a + 164 = f + 184 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 7*f + 2*f + 865*f**2 - 10 - 3264*f**2. Let t be o(-10). What is t rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 28 + -26. Suppose -q = 4*h - 10. Differentiate 7*n**2 + 4 + 7 + 7*n**h - 4*n**2 with respect to n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1778, -1816, -1884, -1982?\n\"Answer: -15*n**2 + 7*n - 1770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2089384 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -3*k + 3 + 4, -2*k - 5*p + 33 = 0. Let s = -6 + 9. What is the smallest common multiple of k and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 401 - 187. Let a = x + 18. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/l**3*l\/(l**(-4)\/l))\/(l**(-3)\/l**(-1\/9))*((((l\/(l**(-2\/5)\/l*l))\/l)\/l)**(1\/32))**27 assuming l is positive.\nAnswer: l**(9191\/1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0.5, 0, -158, 2\/463, 10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 68*z - 69*z - 3*v, 3*z - 8 = -v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Add together 14.668 and 113.\nAnswer: 127.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -80 bigger than -1827\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/11? (a) 2\/7 (b) 0.23891 (c) 4 (d) 26\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 31 (base 9) to base 6\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 515 = -10*m - 115. Let s = -59 - m. Solve -p + s = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 9 + 5)*(77*a**3 + 58*a - 58*a)*(2 + 2 - 1).\nAnswer: -462*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 + -0.1079?\nAnswer: 0.0921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:18 AM and 4:57 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 2*o - 3*o. Let w be o\/10*(6 - 1). Solve 3*z - 5*q = 22, 0 = -w*z - 0*q - 4*q - 24 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 492 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -29*r + 21*r + 20*r as s + a*r and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.5 and -642389705.4?\nAnswer: 642389705.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 11*z + 16. Let r be f(-6). What is the units digit of (r + 1)\/(-1) + (16 - 16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 1069*w - 22. Let m(d) = -803*d + 17. Determine -9*m(t) - 7*v(t).\nAnswer: -256*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**3 - 9*p**2 + 11*p - 11. Suppose 32 = 8*v - 4*v. Let a be s(v). Suppose -a = -i + 14. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 27.1 - 25. Let j(a) = a**2 - 11*a - 14. Let v be j(13). Let u be v\/(-36)*0\/1. Which is smaller: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i and 1 s when four letters picked without replacement from {e: 3, i: 3, s: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 62429 is divided by 31198?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the first derivative of p**9\/6048 - p**8\/3360 - p**7\/1680 + p**6\/720 + 4*p**3\/3 - 5. Let s(x) be the third derivative of f(x). Factor s(h).\nAnswer: h**2*(h - 1)**2*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(209)\/(sqrt(1100) + sqrt(1100) + (sqrt(1100) - sqrt(1100)*-2) + sqrt(1100)) + (-5*sqrt(114)*-2)\/sqrt(6).\nAnswer: 601*sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) be the first derivative of -2*i**3\/3 - 1292. Let l(n) = -4*n**2 - 10*n**2 - 9*n**2. Give f(l(o)).\nAnswer: -1058*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*z + 10*z = 0. Let j(u) = -5*u + 7 - 5 + 0 + z. Calculate j(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -k, 0*h + 3*h - 20 = 2*k. Let v(x) = x**3 - 5*x**2 + 4*x + 4. Calculate v(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 17870279 to the nearest integer?\nAnswer: 4227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -5, -2\/7, 1, 33, 4, 587?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -53479224.01 to the nearest one million.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from wvvwvvaezvwe?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*g - 56 = -5. Factor 0*b**2 + 0 + 8*b**g - 10*b**2 + 4 + 5*b + 6 - 13*b**3.\nAnswer: -5*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 68819472 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -11 - 1bb08?\nAnswer: -1bb19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + -4 + 1 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m\/(m\/m**(-5)))\/m)\/(m**(-1\/12)\/m)*(m\/((m*m\/m**(-2)*m)\/m))\/m**(-4\/5) assuming m is positive.\nAnswer: m**(-367\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -1590*q**2 + 3*q**3 - 30*q + 1589*q**2 + 10*q - 3 + 3 - 2*q**3 + (-1 + 4 - 5)*(q**2 - 2*q**3 - q**2).\nAnswer: 5*q**3 - q**2 - 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 70 - 5 = 5*p. Calculate the smallest common multiple of 8 and p.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/3, 0.4, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the second derivative of -f**6\/240 - f**5\/24 - f**4\/6 - f**3\/3 + 3*f**2 + 5*f. Let r(w) be the first derivative of o(w). Solve r(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m**2 - 14*m - 10. Let t be i(-13). Which is the closest to -1? (a) 2\/9 (b) t (c) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.13 - 4.13. What is the closest to 3 in 3\/4, b, -5, -1\/9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3199838164?\nAnswer: 2, 799959541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 93386506.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(1\/4)*z**11)**(-23) assuming z is positive.\nAnswer: z**(-1035\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*n - 4*n**3 + 3*n**3 - n - 10*n**3 to the form u*n**3 + v*n**2 + z*n + t and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = -13 + 9. Let r = -7\/6 + 1. Which is the third biggest value? (a) r (b) o (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3088 + -3084. Solve -36 + 28 = i*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000001927 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -5*k**3 + 2*k**2 - k - 1. Calculate c(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -t + 17. Let l = -437 - -437. What is k(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**27*l*l**33\/l*(l**(2\/7)\/l)**(-48) assuming l is positive.\nAnswer: l**(660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 15 + -10. Suppose 4*c = 3*c + s. Solve -2*u**4 + c*u**2 - 3*u**4 - 12*u**5 - u**4 + u**4 + 14*u**3 - 2*u = 0.\nAnswer: -1, -2\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 156 at most 152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v + 5*m + 35, -4*v + 328*m - 327*m + 25 = 0. Sort 1, 0, 179, v in ascending order.\nAnswer: 0, 1, v, 179","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**3 - 7*m**2 - 7*m - 7. Let c be b(8). Let r be -4*(0 - c)\/(-1). Find the common denominator of -13\/8 and (-3 + 1)*r\/(-56).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/(-1 - (-1)\/2). Let d be (-10)\/((-32)\/(-15) - y). What is the remainder when 87 is divided by d\/(-3) + 0 + -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -4476, -4475, -4472, -4467, -4460, -4451?\n\"Answer: v**2 - 2*v - 4475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2289456677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-19)\/(-4) - (-5)\/20. Suppose k = 5*r + 5*b, 4*r - 6*r + 8 = -4*b. What is the smallest common multiple of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -17*k + 3 + 2*k + 6. Let l be a(3). Let y = l + 61. Calculate the greatest common factor of y and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 18907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 7, u: 2, t: 11}. Give prob of picking 1 t and 1 q.\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {i: 5, d: 2, l: 1, k: 11}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = k - 1. Let f(p) = -2*p**2 - 325*p + 1. Let g be f(0). Let i(w) = 4*w + 12. Give g*i(j) - 3*z(j).\nAnswer: j + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) 1169483 (c) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -309 - 3*l**2 - 515 + 7*l**2 - 360*l + 88.\nAnswer: 4*(l - 92)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -38*g**2. Suppose 12 = 4*w + 2*z, -w = 4*z - 0*z - 10. Let h(d) = 0*d**w - 3*d**2 + 5*d**2. Give b(h(y)).\nAnswer: -152*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -10\/9*w**3 - 2\/9*w**4 - 16\/9*w**2 + 0 - 8\/9*w = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 114810 divided by 445.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*d**2 - 114210629*d - 2108821.\nAnswer: -4*d - 114210629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -17\/3, -3, 93, -2 in descending order.\nAnswer: 93, -2, -3, -17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r + 43. Let p = -8684 - -8700. Determine l(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the second derivative of 3*d**5\/20 - d**2 - 6*d. Find the first derivative of f(n) wrt n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -3*h**3 - 60*h**2 - 141*h - 2. Let y(c) = -13*c**3 - 261*c**2 - 564*c - 8. Give 9*n(r) - 2*y(r).\nAnswer: -r**3 - 18*r**2 - 141*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -369 or 1?\nAnswer: -369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 35 + -31. Calculate the remainder when u\/6*-2*285\/(-20) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -196 - 339 - 896*z + 535 to the form b*z + u and give b.\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x + 2. Let v(i) be the second derivative of -i**3\/3 - 5*i**2\/2 + 2*i. Suppose a = 2*d + 10, 3*d + 15 = -0*d + 3*a. Determine d*f(l) - 2*v(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of x**3 + 36827*x**2 + 37*x - 19793696 wrt x?\nAnswer: 3*x**2 + 73654*x + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*w**4 + w**3 - 11 - 5 - 2*w**2 + 17 to c*w**3 + j*w + k*w**4 + i + r*w**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*f - 57 + 33 = 0. Suppose 3*h + 114 = 5*a, 2*h + 0 - 36 = -f*a. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 10 + 0 - (30 - 29 - -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**2\/4 + 23*f\/4.\nAnswer: -f*(f - 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 148341544 divided by -26\nAnswer: -5705444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*f = -14*f - 832. Let g(l) = -l**3 - 3*l**2 - 3*l + 4. Let i be g(-4). What is the highest common divisor of i and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0\/(-1) + 6\/(-7). Let t be (1\/1*(-16 - -16))\/(-2). Which is greater: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -908*h**3*t**2 + 21647*h**3*t - 11*h**2*t - 5264*h*t**3 - 5 wrt t.\nAnswer: -1816*h**3 - 31584*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**2 - 9*v + 8. Let q(s) = s - 1. Let r(c) = -n(c) + 4*q(c). Let h be r(12). Are h and 6\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/2)\/(((-188)\/12784)\/((-3)\/(-18)))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 41276204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 5174 - -108?\nAnswer: 5282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*l + 14*l - 9 = -6*c + 11, -14*l - 3 + 41 = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 + -8. Let i be -3 + 2 + d + 21. Solve -i = -r - 5*a, -5*r - 11 = -0*r + a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.6 - 1.3. Let j = k + -1.3. Suppose 6 = 2*f - 3*o, 4*f - 3*f - 3*o - 3 = 0. Which is the smallest value? (a) j (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 529410 is divided by 647.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -143.93 - -140. Let t = c - 0.07. Let n be 2\/(-9) + (3 - 3). What is the closest to 0 in -2, t, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2400)*1)\/((sqrt(132) + -1*sqrt(132) + sqrt(132))\/sqrt(11)).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 0.5 greater than 44\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 11453324 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -2.19 times -0.5?\nAnswer: 1.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = 18 - 8. Let a be (1 - 2)\/(1\/(-5)). What is the remainder when c is divided by 3 + (-2)\/1 + a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*j**2 + 2*j**2 - 4*j**2)*(23*j**3 + 11*j**3 - j**3 + (-3 - 2*j + 3)*(0*j**2 - 5*j**2 + 3*j**2) + 9*j**3 - 32*j**3 - 45*j**3).\nAnswer: 62*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 7 or 21389366?\nAnswer: 21389366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 572 minutes after 4:31 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -118674 + 80460845\/678. What is the common denominator of t and 107\/756?\nAnswer: 85428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17337 is divided by 109.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -780, -613, -334, 57, 560, 1175?\n\"Answer: 56*y**2 - y - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 419, 576, 811, 1118, 1491, 1924, 2411, 2946?\n\"Answer: -q**3 + 45*q**2 + 29*q + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 39 - 3479. Let q = 3439.9995966 + i. Round q to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, n: 1, s: 1, d: 2, i: 4}. Give prob of picking 1 d, 1 c, and 1 s.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 941, 938, 933, 926, 917, 906?\n\"Answer: -s**2 + 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 207, 159, 111?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 22120 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 889 + 1070 + 3*g - 4*g - 640.\nAnswer: -g + 1319","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let -x**2\/4 + 14484*x - 209786256 = 0. Calculate x.\nAnswer: 28968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2*2*1 - (67 + -65)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 21 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 832 + -371. What are the prime factors of i?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 7 + 2 + -5 + 1. Let l be (i + (-68)\/16)\/((-1)\/(-12)). What is the common denominator of ((-118)\/l)\/((-182)\/(-21)) and -13\/24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 69 - 45. Suppose 2*r = -r + 5*d + 51, -3*d = r - 31. Suppose 118 = 2*l + r. What is the highest common divisor of q and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24017 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let 3868*t**4\/7 + 4839*t**3\/7 - 1929*t**2\/7 - 2903*t\/7 - 3\/7 = 0. Calculate t.\nAnswer: -1, -1\/967, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50647 is divided by 6005.\nAnswer: 2607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -2*v**2 - 59*v - 19. Let u be j(-29). Suppose -u*m + 15*m - 3976 = -3*l, -5*l = -5*m - 6640. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 36 = -2*v + 6*v, -4*g - 228 = 5*v. Let u = -10 - g. Calculate the remainder when u is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26963 rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -5585 (base 16) to base 7.\nAnswer: -120554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7 + 7. Suppose h = -w*h + 9. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(5 + sqrt(684))*3)**2.\nAnswer: 2160*sqrt(19) + 25524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 18 and 10618.\nAnswer: 95562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -1*2\/(-6)*-2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -2*i**4 - 2*i**3 - 5*i**2. Let a(r) = r**5 - 11*r**4 - 11*r**3 - 26*r**2. Let u(l) = -4*a(l) + 22*s(l). What is the third derivative of u(v) wrt v?\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:55 AM and 4:49 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**7*h*(h\/(h*h**6))\/h)**(-14) assuming h is positive.\nAnswer: h**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = -33 + 17. Let g = a + 16.00656. Round g to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3158 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -5\/2 and -121\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -92 - -102. Calculate the highest common divisor of 40 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 27028*c. Let w(z) = 419*z**2 + 3*z. What is w(y(q))?\nAnswer: 306084856496*q**2 + 81084*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(((x*x\/x**1)\/x)\/x))**(-2\/31)\/(x**(-7\/4)\/x*x*(x\/(x*x**23))\/x) assuming x is positive.\nAnswer: x**(3177\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 70 in -2\/19, 65, 4?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that 6*s**3 - 327*s**2 - 1209*s - 522 = 0.\nAnswer: -3, -1\/2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1543779119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(3*sqrt(2880))\/(sqrt(1000) + -2*sqrt(1000)).\nAnswer: 36*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes after 11:06 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2210049, -8840218, -19890499, -35360892?\nAnswer: -55251397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 622288*1.9.\nAnswer: 1182347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 236*y + 8642 = 854 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 731 or -8313?\nAnswer: 731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 21455 >= 21456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = -476\/3 + 160. Let n = 1328\/1623 + -82\/541. What is the nearest to n in 3, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6998 + -140021\/20. Let y be (-102)\/(-84)*(-3 - 2270). Let a = -2757 - y. Find the common denominator of o and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1108302 = 112*z - 1119838 for z.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(224) + (sqrt(224) + sqrt(224)*1)*-1)\/(sqrt(72)\/((-6*sqrt(54)\/sqrt(6) - sqrt(9)) + sqrt(9))).\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -2275900 divided by 25\nAnswer: -91036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be (5 - 5) + (1\/(6\/(-12)) - 15803998). Round m to the nearest 100000.\nAnswer: -15800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c - 2*c. Let d(h) = -2*h + 2. Let a be d(2). Let s be (-4 + -24)\/7 + (1 - -4). Put s, a, c in descending order.\nAnswer: s, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*((sqrt(110)\/sqrt(640) - sqrt(11)) + 5*sqrt(33)\/sqrt(3)))**2.\nAnswer: 11979\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*b - 4*w = -7*b - 4192, 5*w = -5*b + 6985. What are the prime factors of b?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 33 + -15. Suppose -3*f + 12 = -2*f. Let x = o - f. Solve -2*t = -0 - x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -8\/571 (b) -4 (c) -248\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 216\/(-96)*12\/9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6\/57 + 70212\/114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f, 1 d, and 1 v when three letters picked without replacement from qfqvwqqqvvqdddvfwvqd?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = -385\/2418 + 1\/186. Let l(y) = -y**2 - 7*y. Let g be l(-7). Is g at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lj when two letters picked without replacement from jjuuvljvjjivjluiu?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -545*y**3 - 3*y**2 + 3*y + 6. Let o(f) = 99190*f**3 + 545*f**2 - 545*f - 1090. What is -545*c(h) - 3*o(h)?\nAnswer: -545*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.64397 rounded to two dps?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c + 18. Calculate the remainder when i(8) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8276 - 8273. Which is the nearest to 1? (a) -0.2 (b) -3 (c) -8 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 43 - 0. What is the remainder when w is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -52 - (-10 - (-25 - (-6 + -12 - (-22 + 10))))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -66*n + 853 = -2831 - 276. Calculate the smallest common multiple of 910 and n.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 449 - 9*k - 449.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-50 - (38 + -47)) + 2 + 14.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 895.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 92 and 28?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*509.2.\nAnswer: -1527.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9907 divided by -5.\nAnswer: 9907\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -25, -5, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-nine halves of a micrometer in nanometers?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-459)\/(-9) + (-54432)\/756?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2bb2c + -3?\nAnswer: -2bb31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange d**3 + 1051 - 1051 - 5*d**2 + 770*d + 3*d**2 - 6*d**2 to the form q*d**2 + w*d + n + h*d**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 553280*h**2 - 762074.\nAnswer: 1106560*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 91\/60 and 43\/2142?\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 91517 and 7406?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -19943 + 19943. Solve 3*m - 59 + 50 = l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*u**2 + 2*u**3 + 2*u**4 - 4*u + 13 + 4*u + 0 to j*u + b + a*u**4 + i*u**2 + p*u**3 and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2004.1833 times 4?\nAnswer: 8016.7332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 419 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b - 5*z + 2, -2*z + 7*z = -4*b + 6. Suppose 0 = -b*g + 108 + 68. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12 and 114.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 8755425 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 21 = -16. Let a = q + -29. What is the units digit of (426\/4)\/((36\/a)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.01 - 0.29. Suppose 2*v + 11 + 11 = -4*n, 2*n + 5*v = -31. Let f be (324\/(-729))\/(88\/36 + -4). What is the third smallest value in y, n, f, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the third derivative of y**5\/60 - 7*y**4\/24 + 2*y**3\/3 - y**2. Let r be l(7). Suppose -3*o + 8 = r*s, 3*o = -0*o + 12. Is s <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.25 + 0.35. Let l = -9105 + 9075. Which is smaller: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - 3) + -3 + 5 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-183333)\/(-138))\/(10\/8 - 0). Let a = -1052 + m. Is a < 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -l**2 + 2*l**2 + 2*l**2 + (1 - 1 + 2*l)*(4*l + 3*l - 9*l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 314117 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1786327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, -1\/5, 0.024, -1\/6, 19\/159, -1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 - 4. Suppose 38 = 4*c + 6. Calculate the remainder when (21 - 2) + 6\/a is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 4 = -p - 22, 0 = -2*s - 2*p + 6. Suppose -y + 5 = s. Let l(b) = 5*b - 2 + 2 + 1. Calculate l(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -30 - (30 - (29 + -10 - 19))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -215 + 65. Is 31 a factor of 2 - (2 + -5 + u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 8923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = -20028690.0753042 + 20194012.0603. Let a = -165322 + x. Let j = -0.015 - a. Round j to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2 (b) 12\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 2*k + 2, 0 = -1322*k + 1321*k - 5*t + 23. Which is the biggest value? (a) -2\/9 (b) -3\/221 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*j - 6*j + j)*(1 - 1 - j) + (-7*j + 30 - 30)*(-3 + 4 - 2)*(-1 + j + 1).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 5 + 1)*(0*j - 28*j - j).\nAnswer: 58*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 77200 - 204.\nAnswer: 76996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 103483816 and 488.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1249131*k**3 + 5*k - 100961484 wrt k.\nAnswer: 3747393*k**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1161\/387)\/((-6)\/(-166))*(-5)\/15*-3.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 336, 8, 0, -1 in increasing order.\nAnswer: -5, -1, 0, 8, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 4057511 < -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k be -78*(2 - 38\/30). Let z = 57 + k. Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 10*b**3*j**2 - 28462*b**3*j + 43*b**3*s - 28*b**2*j**2*s - 98*j*s wrt s.\nAnswer: 43*b**3 - 28*b**2*j**2 - 98*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2673)*3)\/((-6*sqrt(24))\/sqrt(8)).\nAnswer: -9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -5197859020688 take away -18?\nAnswer: -5197859020670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4171163?\nAnswer: 89, 46867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 119 - 2*v - 676 - v - 304 + 413*v**2 + v wrt v.\nAnswer: 826*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 8.786337l?\nAnswer: 8786.337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 94747578 a multiple of 641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, s: 1, g: 1, b: 1}. Give prob of picking 1 s, 1 b, and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000075123324 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be 19 + (-1 - (-4 + 7)). Suppose -a*f + 82 - 7 = 0. Differentiate 3 + 49*k + 42 - f wrt k.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 140.1333 and 3.7?\nAnswer: 518.49321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = l + 12. Let s = l - 11. Which is bigger: s or 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (4 + (-56)\/10)*(5 + 0). Let m = -8 - x. Solve p + n + 6 = m, -18 = -0*p + 4*p - 2*n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 352 divide 5578150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: What is the product of -96480 and -4?\nAnswer: 385920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -d - 3*d + 6*d + 2*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -206 + 201. Let i be (-5 - k)\/(2\/(-4)*4). Solve 4*v + 2*a + 10 = i, -3 = -3*v - 4*a - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3.2 - 8.4. Let m = h - -8.2. Let w = -4.9 + 1.9. Which is the third biggest value? (a) 0.4 (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -71361.56 to the nearest one thousand.\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1\/(-12))\/(3\/(-8)). Let q = 6.9 - 5.9. Let z be (-5)\/(-5)*(-2)\/(-4). Which is the nearest to q? (a) z (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -137*m**2*y + 203*m*w + w*y + 183*w + 93*y - 2 wrt m.\nAnswer: -274*m*y + 203*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = -2*d - 3*x, d - x = 4*d - 35. Let g = 63 - 12. Let w = -21 + g. Calculate the remainder when w is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 2427736 (base 9) to base 16\nAnswer: 141c0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -38 - -66. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 15*d**2 - 5*d - 2. Let h be v(-3). Let i be h\/28 + (-6)\/21. Is i at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -22 + 14 + 13 + -14 - (-4 + 2 + -51).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from obwafffohofbwaw. What is prob of picking 2 o and 1 h?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i*i**(-2\/3)*i**(1\/5)\/i)**(-47)*(i**(-3\/2)*i)\/(i\/(i**(-4)*i)*i)*i**5*i\/i**0*i assuming i is positive.\nAnswer: i**(-707\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.2 and 128117?\nAnswer: 25623.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 890376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dfdddfofdfo. Give prob of sequence fo.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.46? (a) 0.2 (b) 0.4 (c) -2.509 (d) -2\/11 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -8212, -8228, -8210, -8140, -8000, -7772, -7438?\n\"Answer: 3*x**3 - x**2 - 34*x - 8180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 287348867 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = -130 - -125. Let c = u - -92. Does 33 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 - 376.311.\nAnswer: -376.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 3*q + 2*d, q = 5*d + 24 - 23. Let n = 11 + -1. Solve n*o - 13*o = q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + i + 46 = 0, 2*i + 10 = d - i. Calculate the remainder when 21 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 19, -387, -1501, -3671, -7245, -12571, -19997?\n\"Answer: -58*h**3 - 6*h**2 + 18*h + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lxlxlll. Give prob of picking 4 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 988, 1, -3, -1054 in descending order.\nAnswer: 988, 1, -3, -1054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = -11 - -11. Suppose -5*n + g + 100 = o, 4*n - g - 91 = 2*g. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tttttttttttpt. Give prob of picking 2 t.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = -787 + 3941\/5. Determine k so that 0*k**3 - 9\/5*k**2 + 3\/5*k**4 - d*k + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/(-50)*5*10\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*t - 8*t = 0. Which is the closest to t? (a) -4\/5 (b) 3 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 56 minutes before 11:51 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1085 and 155?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -82*f - 42*f = 12*f - 1914608. What are the prime factors of f?\nAnswer: 2, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 11100002 (base 3) to base 8.\nAnswer: 6131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 6832 = -2*k, 4*u = -4*k + k + 10283. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2202, -10004, -23008, -41214, -64622?\nAnswer: -93232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -484, -458, -432, -406, -380, -354?\n\"Answer: 26*n - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in eight thirds of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 371 - 381 = -w + 3*n, -4*w - 3*n - 35 = 0. Which is the second biggest value? (a) 4 (b) -1 (c) -3\/10 (d) w (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 - 0) + 2*1. Suppose -w - 23*a + 4 = -26*a, 5*w - 37 = -2*a. Which is bigger: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4.056 + -0.056. Which is the nearest to 3? (a) r (b) -3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*(z**(-6)*z)\/z*z\/z**(4\/5))\/(z**0)**(3\/2)*((z**(-1)\/z)**(-17\/7))**2 assuming z is positive.\nAnswer: z**(172\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 131 (base 6) to base 11.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 11119 divide 2469713377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be (0 - -1)\/(2\/4). Suppose -x = g*x + 4*t + 12, 0 = x - 5*t - 15. Solve -4*l - 4 = -x*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 91 and 494.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -198*i**3 + 4*i**2 + 378*i**3 - 220*i**3 - 4*i**2.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 32150015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10816*z**3 + 303*z**2 - 2927392*z wrt z?\nAnswer: -64896*z + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -2*z - 8. Let a(k) = 3*k + 16. Let x(v) = -a(v) - 2*f(v). Let t(g) = -5*g. Calculate t(c) - 3*x(c).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 15 and 15930.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 354 divided by -6.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = -20 + 30. Let c be 2\/(-3) - b\/(-6). Let r(z) = c - 9*z**2 - z**2 + 2*z + z**2 - 2. What is r(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -83*b + 41. What is the thousands digit of k(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6735 - -13560. List the prime factors of h.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 4587*b - 25 + 2*b**2 - 1 + 4587*b + 25.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5090 + -5092. Let m = 5 + -5.4. Let x = 2 - 1.96. Which is the closest to 0? (a) n (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in nine tenths of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 718.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2\/6)\/((-400)\/(-135) + -3). Let f(y) = y**2 + 9*y - 22. Calculate f(s).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(99) + sqrt(99)*-2*1 - sqrt(99)*1*-2)\/((sqrt(81) - sqrt(81)*-1*5) + sqrt(81)))**2.\nAnswer: 11\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1 (b) 2\/5 (c) -4 (d) -694919\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**3 + 19*p**2 + 20*p + 109. What is the remainder when x(-16) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (222\/(-7511))\/(((-32)\/336)\/(6\/(-27)))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3280 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rkr when three letters picked without replacement from {d: 1, r: 5, m: 5, k: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 3990*m + 4*d - 84 = 3988*m, 2*d - 34 = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwwwwwccwc. Give prob of sequence wcww.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(3872) + (0 + sqrt(3872)*4 - sqrt(3872))**2.\nAnswer: 44*sqrt(2) + 34848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -263 - -260.36. Let t = u - -3.94. Put -0.4, t, 3\/7 in increasing order.\nAnswer: -0.4, 3\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2722664?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1442*m**2 - 2347*m**3 + 2340*m**3 - 1442*m**2.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 174\/395693 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(10) + (sqrt(80) + sqrt(80)*-1)\/sqrt(8))\/(sqrt(8)*-3).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*u + 2*u - 4*u)*(-1 + 1 - 2) - 2 - u + 2)*(11*u + 7*u - 14*u).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9717509 + 9717509 + 49*z.\nAnswer: 49*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the third derivative of 7*y**4\/2 + y**3\/6 - y**2. Suppose 5*t - 19 = 2*g, 0*g - 2*g - 4 = -2*t. Is r(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5490369075 to the power of 1\/3, to the nearest integer?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 1051*h**2 + 64*h - 340. Is j(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-468)\/(-20) - (-3)\/5 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -76*v + 861 = 101*v - 54*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -683.6936 to the nearest integer.\nAnswer: -684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -404409\/33352 + 2\/4169. Calculate the common denominator of -115\/6 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3178488481.\nAnswer: 7, 454069783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(-2)*r)\/((r*r*r*r*r**(2\/3)*r)\/r*r*r)*(r\/(r\/r**5*r))\/(r**0*r*r*r) assuming r is positive.\nAnswer: r**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 33 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-7)\/2*(28\/(-70))\/((-14)\/(-310)). Solve -19*w = 26 + b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*j + 7*j. Solve -4*d + 0*d + 20 = j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.4 - -1.7. What is the nearest to -1 in 0, a, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 5*o + 2, 3*r - 74 = o - 3*o. What is the second derivative of -r*h**4 + 22 + 7*h + 8*h**4 - 22 wrt h?\nAnswer: -168*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 85350251, 85350252, 85350253?\n\"Answer: m + 85350250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -393, -649, -919, -1203?\nAnswer: -1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 17638021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = l + 198. Suppose 0 = -5*d + x - 345, -3*d + 2*x - 64 = 136. Let h = d + l. What is the remainder when h is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Put 2, 158508, 6, 5 in descending order.\nAnswer: 158508, 6, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 124542 and 55352?\nAnswer: 498168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1)\/t)**48\/(((t**(2\/55)*t*t*t)\/t)\/t*t**(-17)) assuming t is positive.\nAnswer: t**(-4402\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 28083 or 28082?\nAnswer: 28082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -850917 - 5.\nAnswer: -850922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -99 + 99. Let r be 4 - 7\/((-21)\/(-6)). Solve y*t = r*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 1\/2 (b) 3\/13081 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, 3, -10 in ascending order.\nAnswer: -11, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = 315 + -106. Let t = 481 - j. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(13)*1)**2 - sqrt(13)) + sqrt(13) + -5 + sqrt(13) + (0 + sqrt(13))**2*-3 + (-1*sqrt(1053) + 4)**2.\nAnswer: -71*sqrt(13) + 1038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*y - 17 - 3, -2*t + 40 = -2*y. Suppose 13*c - t*c = -530. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzzw when four letters picked without replacement from {z: 3, w: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - (5 + -9 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 4*k**2 + 2*k - 2. Let w(g) = 21*g**2 + 11*g - 11. Let i(x) = -11*j(x) + 2*w(x). Let s(c) = -2*c**2 + 21*c. Calculate s(i(l)).\nAnswer: -8*l**4 - 42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4716 and 6606?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 164 and 8.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/9 in -1\/2, -0.12, 5, 0.09?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**2 - 5*y + 12. Let a be r(2). Let g be 41\/(2\/(-4)*a). What is the greatest common factor of g and 779?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19.06 - 20. Let d = 1 + k. Let o = d + -0.16. Is -44 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 158 = -79*h + 75*h - 3*w, 0 = w - 1. Suppose -6*m + 325 = -m. Calculate the highest common factor of h and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/(-4) + ((-1092)\/1424)\/3. Is u bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1*(-4)\/16*16\/5. Let g = 0.033 - -0.267. What is the smallest value in v, 2, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5290125 a multiple of 397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 492 minutes before 9:18 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 8*i**2 - 9*i - 6. Let s(w) = -14*w**2 - 66*w - 4. Let c(g) = -7*g**2 - 27*g - 1. Let n(a) = 7*c(a) - 3*s(a). Calculate 4*n(m) + 3*p(m).\nAnswer: -4*m**2 + 9*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1633 + -1080. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 75811.35m in millimeters?\nAnswer: 75811350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.2 and 3728.\nAnswer: -745.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*k, -2*g + k = -3*k. Solve -5*v + 7 = 2*d + 4, 3*v + d = g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(561)\/((sqrt(11) - 3*sqrt(11))*-5 + sqrt(11)))\/(-3*(sqrt(3) - (3*sqrt(75) + sqrt(75) + sqrt(75)))).\nAnswer: sqrt(17)\/792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1415 - -39605\/28. Find the common denominator of m and -73\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 469 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 85371*k**3 - 91184*k wrt k?\nAnswer: 512226*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1008 and 58830\/2442 + 23\/(-11) + 2?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 110*j - 132. Let f(u) = 102 - 76*u + 20 + 30 - 19 - 33*u. Let n(b) = -2*f(b) - 3*r(b). Find the first derivative of n(m) wrt m.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11\/8106 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 1586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (8 - 9 - (-5 + 2)) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -9483*d**2 + 436*d. Let o(q) = -109*q**2 + 5*q. What is 5*a(p) - 436*o(p)?\nAnswer: 109*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -639 - -655.04. Let i = -16 + x. Let d = i + -0.04. Sort 4, -2, d, -2\/7 in increasing order.\nAnswer: -2, -2\/7, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:46 PM and 5:04 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence opp when three letters picked without replacement from pwowprwooppwppwwop?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2299\/3780 + 17\/27. Let d(s) be the third derivative of 5*s**2 - o*s**6 + 3\/7*s**4 + 0 - 1\/140*s**5 + 0*s - 8\/7*s**3 - 1\/490*s**7. Factor d(p).\nAnswer: -3*(p - 1)**2*(p + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that -4*z**3 + 27300*z**2 - 299856*z + 272560 = 0.\nAnswer: 1, 10, 6814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**3 - 9*f**2 + 8*f - 19. Let b be h(-10). Let u = -8733 - -8737. Solve 3*i + u - b = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -4 + 3*q**2 + q**3 - 3*q + 2*q + q**2 - 4*q. Let s be u(-4). Suppose 122 = 3*x - s. Does 23 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5395 + 5405. What is the fourth smallest value in g, -1, 1\/2, 0.1, -1\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 466 a factor of 7239853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 divided by 116357544.\nAnswer: 7\/116357544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 106 + -93.4. Let u = 0.4 + i. Sort 0, 2\/11, u in ascending order.\nAnswer: 0, 2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-224)\/(-2464) + (2 - 2)\/3\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -121899 + 121902. Let w be -1 - (-1 + -36 - 1). Sort w, 1, c in increasing order.\nAnswer: 1, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 1)*(4*a**2 - 6*a**2 + 0*a**2) + (-3120*a**2 - 473*a**2 - 2269*a**2)*(-3 - 4 + 6).\nAnswer: 5860*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b - 5*f + 87, 6*f - 127 = 5*b - 248. Solve -5*s + b = -3*t, -2*t - 3 = 5*s - 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -51, -110, -173, -240, -311, -386?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2 - -7*(-6)\/12. Let j be ((-15)\/(-2))\/((-12)\/62). Let n = j - -40. Put y, n, 0 in descending order.\nAnswer: n, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2, -0.4, 31\/3 in descending order.\nAnswer: 31\/3, 2, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 2*p - 8. Let r(h) = -5*h. Let t be r(-1). Let k be o(t). Solve 3*u - k*u = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -13*s**2 - 71*s + 192. Give c(-10).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2 - 3) + (-116)\/(-2). Let n be 48\/2*(147\/(-14) + 10). Let o = n + s. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (4 - (-75)\/(-18))\/1 + (-95)\/(-30). Solve 26 = 4*j + 3*q, -2*j + 8 = h*q - 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 16 - 9. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - ((-16)\/(-7) - 2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -39, -57, -85, -123, -171, -229, -297?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 4*n - 2 - 2*n - 7 + 54 in the form h*n + i and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yy when two letters picked without replacement from hyyyyhyyhyh?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f*f**(-1\/4))\/f*f*f**13*f)**(-7))**(1\/3) assuming f is positive.\nAnswer: f**(-147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*z - 116*z - 61*z - 11*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 115 + 110 = 0. Suppose 3*u - v = 102. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -902, -912, -912, -902, -882?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 17475281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -107\/90 and 67\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -82, -174, -254, -322, -378, -422, -454?\n\"Answer: 6*c**2 - 110*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.2 (b) -20578 (c) 1\/2 (d) 3 (e) 1 (f) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -9*h**3 - 1150*h**2 + 7490*h - 1876. What is y(-134)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of -65062.84 and -0.08.\nAnswer: 5205.0272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -4*k - 44. Let r be b(-15). Solve 8*g = -5*m + 9*g - 24, r = m + 5*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -88589\/70 + 5063\/4. Find the common denominator of g and 31\/49.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the third derivative of b**4\/24 - 7*b**3\/6 + 2*b**2. Let w be x(9). Suppose w*y = -0*y + 18. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3583384 or 0?\nAnswer: -3583384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 93 - 93. Suppose -3*j + 49 + 44 = i. Calculate the remainder when (-3 + 52\/(-3))*-6 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4882604851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 13 and 2197?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -z**3 - 14*z**2 - 32*z + 41. Let u be x(-12). Let s(v) = 59 - v + 69 - 5*v**2 - u. Let h(p) = -16*p**2 - 4*p - 28. Determine -3*h(j) + 10*s(j).\nAnswer: -2*j**2 + 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 998293443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhrhrrrhmrmmmrrrh. What is prob of sequence rm?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.407*71911.\nAnswer: -29267.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 694 and 120.\nAnswer: 41640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*q**3 + 6*q**3 + 6*q**3 - 2*q**3 - q**2.\nAnswer: 13*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 4.8 - -1\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(24)\/sqrt(2) + -3)**2 + ((sqrt(36)*1)\/sqrt(12) - (sqrt(3) + (sqrt(300) + -1 - sqrt(300)))).\nAnswer: -12*sqrt(3) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-48)\/(-6) - (-1 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1501, 3177, 4785, 6325, 7797, 9201, 10537?\nAnswer: 11805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + -8 - ((25 - 0) + (2 - 5)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 188634 and 66043.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 1485 divided by 5\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(((-19)\/(114\/(-4)))\/(6\/(-9)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4242500 + 20424?\nAnswer: 4303324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be -2 + (-1 - -8) + -3. Let m be (6\/4)\/(y\/(-4)). Let d(l) = l**2 + l. Give d(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 23*f + 4. Let h(k) = 760*k + 133. Calculate 4*h(w) - 133*q(w).\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(49)\/(sqrt(49)\/sqrt(175)) + -3 + (sqrt(1008) + 2)**2.\nAnswer: 53*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xcxx when four letters picked without replacement from rxrxxccrxx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/8 and -19\/173221.\nAnswer: 1385768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 c, and 1 q when three letters picked without replacement from {w: 1, u: 4, t: 2, c: 1, q: 1, l: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 62 - 126 - 11*a + 41 + 75. Suppose 15 = 2*w + w. Let u be y(w). Let h(g) = g - 4. What is h(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 315 minutes before 2:08 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (3 + 0 + -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 4*q**2\/5 - 536*q\/5 + 17956\/5 = 0.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -144 + 139. What is the third smallest value in y, 0.2, 0.13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -t**3 - 7*t**2 - 11*t - 6. Let v be 3 - (0 + 2 - 2). Suppose -j - v*j = 5*d + 46, -j = 4. Is k(d) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -4 + (-147)\/(-18) - (-3)\/(-18). Suppose 4*q = 5*y - 353, -o*y + 3*q - 5*q = -298. Suppose 3*s - 85 = -y. Solve 6 = -5*i - s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6733 - 6591. Calculate the remainder when 2695 is divided by t.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*f + a - 12 = 11, 6*f - 3*a - 283 = -292 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k**4 + 0*k**2 + 0*k**2)*(0*k - 4*k + 2*k) + (2*k - 2 + 2)*(k**4 - 3*k**4 + 5*k**4).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*p + 32*g - 31*g + 2 + 2, -5*g - 45 = 40*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 7) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 720 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*u + p - 46 + 44, 4*p - 8 = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 87835513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -1, 2, 2502 in increasing order.\nAnswer: -6, -1, 2, 2502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -2*x - 9*x + 10*x. Let g(u) = -7*u. What is g(a(s))?\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 642107.844us?\nAnswer: 0.00000106168625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9143*t - 138015 + 138015.\nAnswer: -9143*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(117) + sqrt(117) + (sqrt(117) - -6*(sqrt(117)*-1 + sqrt(117))) + sqrt(117))\/(sqrt(324)*-4)*2 + 2)*-1.\nAnswer: -2 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u*u*u\/(u*u*u**(-1))*u))**20)**(2\/47) assuming u is positive.\nAnswer: u**(-80\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -190*x**4 + 2*x**2 - 1373*x wrt x?\nAnswer: -2280*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m + 7 = -l, -5*l + 13106*m = 13105*m + 53 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 0.5, 0.01, 10, 0.1 in decreasing order.\nAnswer: 10, 0.5, 0.1, 0.01, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1233812, 1233811, 1233810, 1233809?\n\"Answer: -h + 1233813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 108*d**2 - 172*d**2 - d**3 + 64*d**2 - 2*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 2 h when three letters picked without replacement from hhquhhqhq.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1054 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 617269433 to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 570, 1865, 3920, 6729, 10286, 14585, 19620, 25385?\nAnswer: 31874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 142 - 893\/6. Find the common denominator of k and 290\/(-36) - (-5 + 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 42 and (730\/6)\/((-1)\/(-3)) + 595\/(-119).\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 996238 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the third derivative of -k**8\/20160 + k**7\/560 - k**6\/180 + 7*k**5\/10 - 33*k**2. Let w(d) be the third derivative of l(d). Calculate w(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 54323 (base 7) in base 16?\nAnswer: 34e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8646 and 3965763?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -23, -124, -291, -524?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -75*h + 72*h + 7*g + 71, g = -8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 169, 170, 171?\n\"Answer: t + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -22*h - 226. Let a be v(-11). What is the highest common factor of 84 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:56 AM and 11:58 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -3*d + 3. Let z = 4 + -2. Let u be 5 + 1 + 1 - z. Let n(h) = u + 2 - 6*h - h. Calculate 2*n(f) - 5*t(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 15425 and 1851?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 381\/120247 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-d + 0*d - d + (3 + 3 - 4)*(-11*d - 10*d - 13*d))*(-2*d + 2*d - 3*d) to the form a*d + c + n*d**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 433327 and 7501?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 43105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (-1 + (-39)\/(-45))\/((-1)\/(-3))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 2565424567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -39, -73, -137, -237, -379, -569?\n\"Answer: -s**3 - 9*s**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -4 - 4 - 6*h - 4. Let y be i(-8). Let c(w) = w**2 - w + 4. Let f be c(5). Calculate the greatest common divisor of y and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1007 + 13093\/13. What is the closest to -1 in x, -1\/5, -5, -36?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**3 + 10*h**2 - 10*h + 13. Let i be p(-11). Suppose 0*w = -i*w + 4726. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 0.12, 7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 8 + 2*o**4 - 4*o**5 - 64*o + 3*o**3 - o**3 + 6*o**4 - 16*o**2 + 3*o**5 + 63*o.\nAnswer: -(o - 8)*(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 16808*p. Let y(a) = -a**2. What is d(y(w))?\nAnswer: -16808*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1 - (-1)\/(-2))*12. Let m(n) = n**3 - 5*n**2 + 2*n + 8. Let l be m(t). Suppose w = 12 - 4. Calculate the highest common factor of w and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -12055 + 84387\/7. Let a be 0 + 5\/(5\/(-2)). What is the nearest to a in -2\/5, 3, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*t - 93*t = 129*t + 3159 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -14658204, -29316417, -43974634, -58632855, -73291080, -87949309, -102607542?\n\"Answer: -2*s**2 - 14658207*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 59 a factor of 300074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -3*y - 23. Does 7 divide 2*3\/21 - 306\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -2\/43 (b) 0.8 (c) -0.2 (d) 0.5 (e) -0.1 (f) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1834477021 rounded to the nearest 100000?\nAnswer: 1834500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + -1*(-2*((sqrt(133) - (sqrt(133) - (sqrt(133)*-2 - sqrt(133)))) + sqrt(133)) - 2*sqrt(133)*-6)\/(1*sqrt(343) - sqrt(343) - (4*1*sqrt(7) - sqrt(7))).\nAnswer: 1 + 16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 27643058 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 223222912 by -1808.\nAnswer: -123464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 43*m - 7. Let v be b(4). Suppose -v*i + 8 = -163*i. Solve -4 + 8 = 4*w + 4*y, 0 = i*w - 2*y + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 916?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + -3 - 2 - (2 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -133*268.36\nAnswer: -35691.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 426319012.\nAnswer: 2, 7, 2175097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 67639 and 429?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 474 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + b + 1 - 3*b)*(6*b - 22*b + 10*b) in the form m*b + k + j*b**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 700 and 140.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 39752d0 - 2?\nAnswer: 39752cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1401 - 731 = -26*b. Differentiate 44*r**3 + 2 - 117*r**3 - b + 46*r**3 wrt r.\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(275) + 2)*4 - (-1 + (sqrt(99)*2)\/sqrt(9))**2*3)*2.\nAnswer: -222 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x = 2*a + 26, 26*x - 5*a = 22*x + 23 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-6)\/12*-16 - 4. Solve -30 = -2*q - m*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16 - (0 + 102 - (19 + (63 - 76))).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2336 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 654076 divided by 327038?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 515621 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the third derivative of -1\/12*f**4 + 0*f**5 + 1\/24*f**6 - 2\/3*f**3 + 0*f - 127*f**2 + 0. Let a(o) = 6*o**3 - 3*o - 5. Calculate -4*a(h) + 5*p(h).\nAnswer: h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 53 and 3715?\nAnswer: 196895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in one twentieth of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 131 - 23. What is the least common multiple of a and 120?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 133349656*f - 67738440.\nAnswer: 133349656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(1331)*4 + sqrt(1331) - sqrt(1331) - sqrt(1331) - sqrt(1331))**2.\nAnswer: 260876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(190)*-2*5)\/(sqrt(30)\/(4*-1*sqrt(3))).\nAnswer: 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the first derivative of s**4\/4 - 2*s**3\/3 + s**2 + s + 1. Let a = 46722 - 46724. Determine k(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*q - 6*q + 3*q)*(-91 + 44 + 46 + 5*q)*(26 - 1 + 26) to d + s*q**2 + z*q and give s.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the first derivative of 157\/2*s**2 + 156 + 117*s. Find the first derivative of r(v) wrt v.\nAnswer: 157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -3598 - 0.1\nAnswer: -3598.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence neet when four letters picked without replacement from {e: 4, h: 6, n: 5, t: 4}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 894 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 7159748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1737*t**3 + 1387*t**2 wrt t.\nAnswer: 10422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2 + 22*s - 10. Give f(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v + 4. Let u be t(3). Let y be (-25 + -6)\/(u - 2). Suppose -2*g + y - 7 = 0. What is the greatest common factor of g and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and 0.308621.\nAnswer: -1.234484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 12, 32, 54, 72, 80, 72, 42?\n\"Answer: -n**3 + 7*n**2 + 6*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 112*v + 644. Determine g(-9).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4596690*s**2 - 31*s**3 - 4596690*s**2.\nAnswer: -31*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-115*501\/(-19205))\/(2\/6*17)*-2.\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 44772 - 8580 = 5*o, 4*o - 28940 = r. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13 - 4.3. Let z = r + -8. Round z to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/4 (c) 162\/13 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1672965, 1672973, 1672981, 1672989, 1672997, 1673005?\n\"Answer: 8*s + 1672957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c**2 + 40*c + 299. Let w be r(-10). Which is smaller: w or -9\/185?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*i = 15*i - 10. Is 23 a factor of 3762\/55 + (-3)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3 + -24. Let w be 1\/3 - (-112)\/u. Is -3 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1045 and -1044 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -150 + -1cb1?\nAnswer: -1e11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 6*y**3 + y**2 - 13*y + 23. Let m be l(-16). Let d = 34222 + m. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*w + 0*w - 4*w)*(2 - w - 2) + 2 + 10964131*w**2 - 10965027*w**2 - 5.\nAnswer: -895*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1363583.\nAnswer: 13, 104891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*f**5*q + 857*f**4*q**3 - 686*f**2*q**2 - f**2 + 2*q**3 wrt f?\nAnswer: 300*f**2*q + 20568*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 786059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 47 a factor of 90428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8 + -6. Suppose -k - h = -5*k + 383, 204 = z*k + 2*h. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -5 + 17. Let d(x) = -x**3 + 5*x**2 + 6*x + 5. Let n be d(6). Let b = n - 2. Calculate the greatest common factor of b and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 3743496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 13 + -12. Is (0 + y)\/(8\/336) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 - ((-300 - -303) + (1 - (2 - -5)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/2573 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 90*w = 3671 + 379. Solve 12*d - w = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 46787312*w**3\/9 - 163592*w**2\/3 + 572*w\/3 - 2\/9 = 0.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 69\/2 of a year in months?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by 49.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 147 * -2\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 9, 7, 5?\n\"Answer: -2*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d - 21*t - 1 = -20*t, -4 = 2*d + 2*t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 3421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4497 - 4493. Which is the second biggest value? (a) l (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 2*w**2 + 4*w - 6. Let z be x(6). Let y be (z\/4)\/(2\/20). Suppose 1020 = 5*h + y. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -7.600706 to two dps.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 254088581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -241662837, -241662836, -241662835, -241662834, -241662833, -241662832?\nAnswer: -241662831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 60 + -37. Suppose -3*c - x = -4*w, -c = c + 10. Solve -8 = 2*p - w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 161 and 28819?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/((-3264)\/17)*-8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 + -530?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 6413185*r**4 + 11927022 with respect to r.\nAnswer: 25652740*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 18 in 29\/2, 0.01, 0.16?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -315119 divided by -109\nAnswer: 2891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*r - 3*r + 2*r)*(14 - 31 + 15)*(-2 + 4 + 0)*(373 + 24*r**3 - 373) to k*r**4 + d*r + g*r**3 + m*r**2 + u and give k.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 615 and 984?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 8623*p = 8598*p - 425 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 245721 - 163556. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -39 - -11. Let m be 21\/14*s\/(-6). Solve 5*v - m = 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = z**3 - 15*z**2 - 10*z - 34. Suppose j + 4*w - 9 = -12, -15 = 3*w. List the prime factors of q(j).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 9*p + 53. Give k(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2574*t*u**6 - 24*t*u**2 - t*u wrt u.\nAnswer: 308880*t*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 - 1)*(1 + 2*w - 1)*(4*w**2 + w**2 - 3*w**2).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/106513 at least -10\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes after 3:24 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j\/(j*j**(-4\/3))))\/j**(-5)*j*j*j**(-1\/2)*j**(-3\/7)\/j*j assuming j is positive.\nAnswer: j**(241\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 54*c**3 + c**2 + 2*c + 4. Is p(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(8064) + sqrt(8064))*4*3)\/(2*sqrt(288)*3*3).\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:39 PM and 4:20 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1813 + -1327. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1.5052 and 0.4.\nAnswer: 0.60208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*y - 5*m + 1058, -3*y = 2*m - 1441 + 395. Let h be (-1 + -2 + y)*1. Suppose -c - 877 = h. What is c rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 53*i - 63*i + 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 3. Let x(n) = -3 + 3 + 1 + n. Let t be (-6)\/9 + 51\/9. Suppose -4*l = -3*s - 23, -t*s - 11 = -4*s - 2*l. Calculate s*a(q) + 2*x(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = -0*g + 2. Let b be ((-13)\/4)\/((-2)\/8). Let i = b - 7. Solve -g*c + i = -0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*f - 6*f + 2*f)*(4 - 4 - f**4).\nAnswer: -7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0\/(-1))\/(-1*6\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ni when two letters picked without replacement from niiininnnnnnnnnniii?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = -89.9 - -90. Let o = 0.38 + 0.62. What is the nearest to i in -16, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 713, 1, -12, 2 in increasing order.\nAnswer: -12, 1, 2, 713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 32*y + 67. Let r be v(-2). Suppose 2*p - 18*f - 100 = -21*f, r*p + 2*f - 145 = 0. Which is greater: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1537 divided by 6?\nAnswer: 1537\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**3 - 15*t**2 - 3*t + 10. Let g(s) = -s**3 - s + 2. Determine 5*g(q) - h(q).\nAnswer: -6*q**3 + 15*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j + 66 = -4*i + 38, 0 = -i - 1 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -87222 divided by -6.\nAnswer: 14537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3 or 66027?\nAnswer: 66027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 299*q - 118*q - 179*q - 36*q**3.\nAnswer: -36*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8 + 13. Let c be (-2)\/(((-20)\/6)\/y). Solve -7*d - 14 = -5*q - c*d, 5*q - 13 = 3*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 22217, 22173, 22139, 22121, 22125, 22157, 22223?\nAnswer: 22329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 0*d = -2*v + 284, -d + 98 = 4*v. Calculate the remainder when d is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -68\/21 and -89\/3126.\nAnswer: 21882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -1. Let q be ((-7)\/21)\/(1\/3). Let z = -36 - -37. Suppose 2*d + z = 5*g, 5*d + 5*g = -0*d + 15. Let i(x) = 2*x**3 - 2*x. What is d*o(f) + q*i(f)?\nAnswer: -2*f**3 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 110808 by 57.\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -10*g**3 - g**2 + 1. Let k be l(-1). Suppose -k = -3*d - 1. What is the remainder when 135 is divided by ((-8)\/12)\/(d\/(-153))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/10 and -89\/18822.\nAnswer: 94110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12098 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -18275.135 + 18275. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9335260.7966 - -8950350.536531. Let g = 384910 + x. Let s = g - -0.26. Round s to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:05 PM and 10:49 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22433097 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -3.11 and 116.103.\nAnswer: -361.08033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 3*j + 2. Suppose -2*d + 12 = 3*b, b - 4*d + 15 - 5 = 0. Let a be h(b). Factor a*l**5 - 10*l - 2*l**5 + 22*l**3 - 2*l**3 - 4 + 20*l**4.\nAnswer: 2*(l + 1)**4*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -15 + 13.3. Let h = 4.68 + k. Let p = h - -0.02. Which is the smallest value? (a) p (b) 0 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*l + 14*l - 362853 + 725707 - 362854 - 663*l**3.\nAnswer: -663*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j - 728. Let i(d) = 5*d + 3276. Let p(m) = 2*i(m) + 9*l(m). Let g(s) = 3 + 26*s**2 - 3. Determine p(g(v)).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 923 and 781?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h = 3*o + 7 - 27, 5*h + 3*o = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 43\/27 (c) 443 (d) -4 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i*i**7)*i\/(i*((i**20*i)\/i*i*i)\/i))\/(i**32*(i\/((i*i**(-4\/25)\/i)\/i))\/i))**(1\/28) assuming i is positive.\nAnswer: i**(-1529\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -246 - 247 + 496 + 795*h + 136*h in the form t + k*h and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 661 minutes after 2:09 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 7*h + 4*h = -33, 4*h = 3*w - 43. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor d**4 - 14*d**3.\nAnswer: d**3*(d - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 3\/(-15) + (-9)\/(-270)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -2*z + 3044938. Let u(i) = -17*i**2. Give s(u(c)).\nAnswer: 34*c**2 + 3044938","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ggxx when four letters picked without replacement from rxggrrrgrgxxg?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4124 + -8?\nAnswer: -4130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 863513*b**3 - 431616*b**3 - 431884*b**3.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 56 a factor of 3080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -583 + 70 = -19*g. Is (-6)\/g*447*6\/(-4) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 75 - 253 = 0. Suppose -j - 376 = -4*y, y = -j - 0*j + g. List the prime factors of y.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-25 - 94 + 7)*(-3*i + 0 + 0)*(-6*i + 0*i + 4*i).\nAnswer: -672*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-7 + 8\/4)*-2. Suppose -3*m + 6 = -2*l + l, h = 5*m + l. What is the least common multiple of m and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 4*p + 138 = -p, 5*p + 320 = 5*s. Suppose -j + 29 = -2*j. Let t = s + j. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the third derivative of -8*p**2 - 1\/60*p**6 + 0*p**3 + 0*p + 0 - 1\/3*p**4 + 2\/15*p**5. Determine u so that v(u) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26 - 19 - (-1 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-384)\/(-32)*(-22)\/(-99)*5\/25\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 463 + -198. Let x = n - 264.9869. What is x rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 55, 2, -0.017.\nAnswer: -0.017, 2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 91.7693 - 5287.1993. Let c = v - -5166.4033. Let y = -29 - c. What is y rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 286 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -3717639 by 1239213.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -74226, -148455, -222684?\n\"Answer: -74229*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 25.1531 decades to centuries.\nAnswer: 2.51531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -3*z**3 + z**2 + z - 1. Let g = 17 - 16. Calculate l(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 119326 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 11949434 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2\/1611 + 1072\/1611. Let y = -4.5 + 5. Put s, y, 4\/3, -2 in increasing order.\nAnswer: -2, y, s, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -i**2 - i - 3. Let z be h(-4). Let o be 0\/((-5)\/(z\/6)). Is o >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -7929335 divided by 1585867\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(637) - (0 + sqrt(637)) - (sqrt(13) - ((sqrt(78)\/sqrt(2))\/sqrt(3))**2).\nAnswer: -sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 4*3*(56\/(-21))\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8\/23 + -55\/92. What is the closest to -0.1 in 1, -0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -245*j + 250*j = 0. Solve 7*f + 5 - 19 = j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11.9 + -12. Which is the closest to u? (a) 4 (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/(-1) - (-1)\/(-5 + (-72)\/(-15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -7*g - 3. Let f be i(-6). Let l be 1761\/(-3) - (7 - 2). What is the common denominator of 46\/(-299) + l\/f and 63\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19001, -19004, -19007, -19010, -19013?\nAnswer: -19016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 807963423 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4357993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33688 is divided by 66.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(18))\/sqrt(9) + (sqrt(162) + 4 - sqrt(2)))**2.\nAnswer: 72*sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 78*i - 158 = 310 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five halves of a millisecond in microseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 2*i = 2, 2 = -5*i + 17. Let l(d) = d**2 - 2. Let w be l(y). Suppose 0 = -w*z + 3 + 5. Solve -n - 3*n + z = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or 11\/109?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*a + 2*a + 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 29015 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 18836*f**2 + 2*f - 1155?\nAnswer: 37672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -f**3 - 3*f**3 + 0*f**3 + (4*f**2 - f**2 - 2*f**2)*(-99*f + 26*f - 45 + 46) to t*f**2 + j*f**3 + a*f + l and give j.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*f = -48*f + 456. Suppose -192 - 30 = -j. Suppose -f*u = -j + 86. Calculate the greatest common divisor of 51 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 71 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2.075176 and 4?\nAnswer: -8.300704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 75, -3.7, -4, 0.2, -5, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 15674670 and 7890?\nAnswer: 4122438210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -244*o**2 - 142104*o + 149113491?\nAnswer: -488*o - 142104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*z - 42233*p = -42231*p - 100, 10 = 5*p for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-6)\/14 - (-21)\/49. Suppose 5*l - 20 = 0, u = a - 2*a + 2*l - 4. Suppose i + a*o - 26 = 0, 4*i = -o + 10 + 19. Solve h + 15 = i*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.12 - -1.96. Let y = -2.38 + h. Which is the second biggest value? (a) 8\/5 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.12 from -20288.297296.\nAnswer: -20288.417296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be (9\/3)\/((-1)\/((-4)\/66)). Sort 2\/3, h, -3\/4.\nAnswer: -3\/4, h, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 2 = -2*j. Suppose 3*f = -6, -10 + 2 = -2*u + j*f. What is the third derivative of 2*n**6 + 10 - 2*n**u - 10 wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2 or 48465?\nAnswer: 48465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Are -143294 and 200 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b - 10 = 2*a + 6, -31 = 5*a - 2*b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -a + 8. Let g be 96\/(-30)*((-5)\/(-2))\/(-1). Suppose -7*n + 9*n - g = 0. Let k be x(n). Solve -f - k*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-18)\/32)\/(((-5698)\/616)\/((-37)\/2)).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 55398493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*v = -152 + 140. Solve -14 - v = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -2 and 3812\/1819 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 7280.97 decades to millennia.\nAnswer: 72.8097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 16 = g + 2*z, 0 = -g + 2*z + 1. Suppose 3*a - r + 6*r = -g, 3 = -a - 3*r. Suppose p - 26 = -a*o - 2*o, 3*o + p = 38. Solve -v - o = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.1 from 30960184.57903.\nAnswer: 30960184.67903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (3*w - 2*w**2 + 0 + 0)*(18*w - 16*w - 47*w + 10) in the form b + d*w + l*w**3 + g*w**2 and give l.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -5820000 to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 5*c**2. Let u(z) be the first derivative of z**3\/3 - 7. What is u(b(w))?\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**3 + 8*r**2 - 9*r + 21. Let b(z) = -z**2 - 86*z + 951. Let t be b(-96). Calculate f(t).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8.575 - 15.551. Round y to 1 dp.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 369998.15 to the nearest one hundred.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/(-10))\/(104\/40 - -2)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101010111101111111001111101 - -101?\nAnswer: 101010111101111111010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -f**2 - 1. Let a(d) = 43*d**2 + 2. Calculate -a(m) - 2*p(m).\nAnswer: -41*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 171*o**2. Let c(g) be the first derivative of -2*g**3\/3 - 2314. Calculate q(c(n)).\nAnswer: 684*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pqqgnokp. What is prob of picking 3 k and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 211 minutes after 7:42 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1*(2 + 0 + -22). Suppose 0*y + 4*y = -2*v + l, 10 = 3*v + y. Let w(s) = 7*s + 8. Let b be w(0). Calculate the highest common factor of b and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 84 or 54753\/647?\nAnswer: 54753\/647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0 (b) 2 (c) -20681\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the third derivative of c**4\/24 - c**3 + 30*c**2 - 2. Determine y(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 66934671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 1020123 (base 4) to base 16\nAnswer: 121b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6 - 1. Suppose -2*o + 30 = 3*p + p, -2*o = -p - y. Suppose 2*s - o = -3. Let m(z) = 5*z**3 - 2*z**2 + 2*z - 1. Determine m(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1446 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (33\/(-66)*314\/(-5))\/((-1)\/(-5)) is divided by 95?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -257 + 414. Calculate the remainder when u is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 44*m = 69*m + 150 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 1, p: 1, a: 2, d: 2, t: 1, u: 1}. Give prob of picking 1 t, 2 d, and 1 u.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4780, 9294, 13814, 18346, 22896, 27470, 32074, 36714?\nAnswer: 41396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the third derivative of -n**7\/210 - 1589*n**6\/60 + n**5\/30 + 973*n**3\/6 - 4523*n**2. What is the third derivative of o(d) wrt d?\nAnswer: -24*d - 19068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -2\/11, 20.7, -157, 2\/13, 4, 0.5?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 683985 and 945.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -4*o + 18. Let c(i) = -1. Suppose -3 = 14*x - 17. Let z(v) = x*k(v) + 5*c(v). Calculate z(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.018831 to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 7208200 rounded to the nearest ten thousand?\nAnswer: 7210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00062593354 to 6 dps.\nAnswer: 0.000626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.1 + 0.3. Let m = 826\/9 + -92. Let w = -0.02 + -0.38. Which is the nearest to w? (a) u (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a = -12*a - 6. What are the prime factors of -2 - (0 + -3 - a)*61?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s + 5 - 5)*(51*s - 63*s - 231*s)*(7 - 4 + 0).\nAnswer: 729*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 5548799382 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 6*t**3 + 24*t**2 - 2*t - 7. Let d(x) = -7*x**3 - 22*x**2 + 2*x + 6. Let z(o) = 4*a(o) + 3*d(o). Calculate the remainder when z(-9) is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + 0 - 0 - (9 + -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 177275387 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = -28 + 8, 3*g = 4*d + 11. Let s(i) = 462*i**3 - 2*i + 1. What are the prime factors of s(d)?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 119 times -0.6\nAnswer: -71.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -2*f**3 + 2*f**2 - 1. Suppose 9 - 4 = -5*r. Let b be g(r). Suppose -b*k + 7 = -11. Let h(s) = 7*s + 4. Let y(p) = 8*p + 5. Give k*y(u) - 7*h(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2254 and 3?\nAnswer: 6762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/3*m**2 + 530\/3*m + 529\/3.\nAnswer: (m + 1)*(m + 529)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 * -374\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 40\/3558247 and 89\/88.\nAnswer: 28465976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:39 AM and 3:03 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 6) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v - 3*s = -3*v + 21, -56*v + 51*v - 22*s = -13*s + 69 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -60 + 20.4.\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 - 41 = -3*p. Let d = -10 + p. What is the units digit of -3*((-30)\/d + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 107*a - 384. Let s be d(4). Solve 38*c + 18 = s*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 99.23997 - 99.28. Let a = 0.04 + x. What is a rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the third derivative of -4*n**4 + n**3\/3 - 112*n**2. Let i(o) = -12*o**2. Calculate i(x(a)).\nAnswer: -110592*a**2 + 4608*a - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -y - 6*y + 9*y - 4*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 464, 863, 1174, 1397?\n\"Answer: -44*d**2 + 531*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 14 divided by 1866\nAnswer: 7\/933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-35))\/(24\/60).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 16 + -19. Put 11, h, 5 in descending order.\nAnswer: 11, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:13 PM and 1:41 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 20*i**2 - 11*i - 11. Let b(x) = 4*x**2 - 2*x - 2. Let p(d) = 11*b(d) - 2*z(d). Let k(q) = -4*q**2 - 1. What is k(p(f))?\nAnswer: -64*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4218.\nAnswer: 2, 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 149254519*r**3 - 136928029*r**2.\nAnswer: 895527114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3962156, -7924327, -11886498, -15848669?\nAnswer: -19810840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k + 4 - 1. Let h(a) = 7*a - 5. Let m(q) = -q. Suppose -37*i - 20*i = 285. Let n(t) = i*m(t) + k*h(t). Give n(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the second derivative of 0*n**2 + n + 2\/15*n**3 + 1\/50*n**5 + 1\/10*n**4 + 0. Factor c(r).\nAnswer: 2*r*(r + 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 539736.\nAnswer: 2, 3, 43, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.003845 to 5 dps.\nAnswer: 0.00385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -633676 or -0.16?\nAnswer: -633676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -37465 (base 9) in base 14?\nAnswer: -925b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 2*sqrt(832).\nAnswer: -2 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 495743 divided by -6791\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.1 - -0.8. Let v = 0.8 - h. Let d = -67\/3 + 23. What is the nearest to d in -3, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 559783 and 200872.\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**2 - 7*k + 4. Let o be g(-7). Let w = 3 + -2. Find j such that -3*j**3 + 3*j**4 - o*j**2 + 0*j**4 + 2*j + j**3 + w = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1587553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 593521763*a**2 - 2*a + 579765697?\nAnswer: 1187043526*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 + 8*l - 8)*(l - l + 48*l**2 + 111*l**2).\nAnswer: 1272*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 168 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 248690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 35 = -4*o, 0 = 3*z - 3 - 0. Let s = -5 + o. What is the remainder when 10 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**2\/5 - 1566*x\/5 + 6232\/5.\nAnswer: 2*(x - 779)*(x - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nqa when three letters picked without replacement from {q: 1, a: 2, z: 1, n: 2, i: 1, t: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 641*t + 13125 = 222*t + 312*t - 768*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -5*x**5 + 20*x**4 + 30*x**3 - 20*x**2 - 5*x. Let b(d) = d**4 + d**3 - d**2. Let r(n) = -20*b(n) + o(n). Factor r(z).\nAnswer: -5*z*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1 + -4e58675?\nAnswer: -4e58674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*x + 32 = 11*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 501 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: Is 861580361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c + 2*q + 11, 5*q + 16 = c + 3*c. Let s(d) = d**2 + 2*d + 1. Let i be s(c). What is l in 2\/9*l**4 - 2\/9*l**2 + i*l + 0*l**3 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 20 = 3*n - 2*n, -5*f = 5*n - 40. Let z(c) = -2*c + 4. Calculate z(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -2*n - n. Let v be 4\/2 + (n - -6). Solve v*s - 5 = 4*h + 9, 6 = -3*s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1 - -349)*(-1 + 27\/18). Let y = 172 - o. Put 5, y, -2 in decreasing order.\nAnswer: 5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -3 + 0 + 0 - y. Suppose 80*a - 176 = 124*a. Determine x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 7 + -32?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -4043034 (base 5) to base 10.\nAnswer: -65394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 4) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from akkkkakkkkkkkaaakkkk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t**4 - 3*t**3 - 21*t**2 + 3*t + 18 = 0. What is t?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1*(1 - (-3 + 4)). Suppose y = i + 4*l - 96, -3*i + l + 0*l + 236 = 0. Does 24 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, w: 3, d: 13}. Give prob of sequence dk.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (8 + -11 - (-1 + -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:33 PM and 10:55 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -6 + 55?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 37, 39, 35, 19, -15, -73?\n\"Answer: -r**3 + 3*r**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the second derivative of -2*r**4\/3 - 9*r + 2. Let m(n) = -14*n. Determine m(l(y)).\nAnswer: 112*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 72*j**3 - 2*j + 1. Suppose -3*t - 2*o = -3, 2*t - 6*t = -4*o - 4. Is s(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2798*r + 14401 = -206641 for r.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*r = -0 + 28. Put -4, -3, r, -2 in decreasing order.\nAnswer: r, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*v**2\/9 - 8069360*v\/9 + 4069660675600\/9.\nAnswer: 4*(v - 1008670)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 2*f**3 + 3*f**2. Let v(n) = 14*n**3 + 8*n**3 - 2*n**2 - 24*n**3. Let w(i) = i**2 + 3*i - 2. Let c be w(-4). Determine c*b(a) + 3*v(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*d - 25*d = 28 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 331691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 1 (b) 0.44 (c) -1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.001430893 rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -115 (base 14) to base 8.\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*x = -385937 - 675853. What are the prime factors of x?\nAnswer: 35393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 502562.7ml?\nAnswer: 502.5627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the first derivative of -4*l**3\/15 + 8*l**2\/5 + 36*l - 2398. Suppose s(c) = 0. What is c?\nAnswer: -5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4 (b) -98 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 70 + -74. Let o(z) = z**3 - 2*z. Let r be o(2). Which is the second smallest value? (a) 1\/4 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence llla when four letters picked without replacement from alllljaajljajjj.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 179*u**2. Let a(m) = -9*m**2 - m + 1. Let q(v) = 7*v**2 + v - 1. Let i(l) = -a(l) - q(l). Determine o(i(f)).\nAnswer: 716*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 631 minutes before 7:29 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be -5 + 9 + (2 - 2). Suppose -i + s - 194 = -0*s, -777 = f*i - 5*s. List the prime factors of i\/(-3) - 14\/(-21).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - 2631 = -8*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 414.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -k + 4406*k**2 - 8757*k**2 - 63383*k**2 - 12939*k**2.\nAnswer: -80673*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-20)\/150 - 265\/(-300)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 51 + -62 + (-2 - -21)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -308 + 145 + 2*q + 133.\nAnswer: 2*q - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 29*p**2*q**2 + p**2*q + 2*q**2 + 146*q wrt p?\nAnswer: 58*p*q**2 + 2*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) 1.22 (c) -1.473 (d) 0.2 (e) 0.1 (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = l + 11. Suppose -4*k = -2*c + 28, -16*k + 12*k + 4*c - 32 = 0. Let q be (-8 + 74)\/k - -2. Calculate r(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is ea2 + -473?\nAnswer: a2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 70 and 198860?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -570*m + 3. What is the hundreds digit of z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.6193 + 0.4193. Put g, 9, -0.3, 3\/17 in decreasing order.\nAnswer: 9, 3\/17, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 18405770 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 7*w. Let r(g) = -3*g**2 - 11*g - 13. Give r(k(z)).\nAnswer: -147*z**2 - 77*z - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 4*w - 26. Suppose -67*n + 71*n - 100 = 4*m, -3*n + 83 = -m. What is the remainder when n is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2 - 2. Let r = -460 - -459. Let t(b) = b**3 - 3*b**2 - 5*b - 2. Let u be t(5). Sort r, u, k in ascending order.\nAnswer: k, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 3*j - 1, -3*j = 4*w - 663. What is the highest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3 and 467352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2222 + 2207. Suppose -5*g + 3*s - 30 - 50 = 0, -2*s = g + 16. Which is smaller: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 3*n**2 + 5*n - 21. Suppose -2*a + 5*o + 11 = 0, -4*a + 5*o + 14 + 13 = 0. What are the prime factors of l(a)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -686*m - 669*m + 2038*m - 680*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2815*d = -2799*d - 32. What is the smallest common multiple of d and 31638?\nAnswer: 31638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 20 = 4*x. Suppose -2*b - 2*b = 4*m - 56, -x*m = -b - 16. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 708, 2171, 4388, 7359?\n\"Answer: 377*z**2 + 332*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2088 divided by -36.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -178 - -363. Suppose 3*t - 8*t = -k. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - ((4 - -11) + -13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 52*o**3 + o**2 + 13*o - 1. What is l(-2)?\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(2\/51)*w**(-1\/20))\/((w**4\/w)\/w*w\/(w*w**(2\/49))) assuming w is positive.\nAnswer: w**(-98459\/49980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x + 5 = -331*r + 336*r, 5*r = 3*x + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -6\/7*u**2 + 1080\/7 - 36*u + 3\/7*u**3.\nAnswer: 3*(u - 6)**2*(u + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in 3\/10, 0.09, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence phu when three letters picked without replacement from {h: 3, p: 3, l: 1, v: 1, u: 5}.\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (88\/(-144))\/((-946)\/3354)*1.\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 98237 and 43618.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u - 13 = -5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 117 divide 24593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xx when two letters picked without replacement from ksksxxkxsxkhssk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q**5 + 351*q**4 - 10779*q**3 + 29925*q**2 - 19494*q = 0. Calculate q.\nAnswer: 0, 1, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z + 4*x - 2 = 0, x = -4*z + 6 - 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*w = 9*w + 32. Let j(k) = k**3 - 4*k**2 + 10*k - 1. Calculate the remainder when 114 is divided by j(w).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 + (-2)\/(-1) + 0. Suppose o + g = -4. Calculate the remainder when 32 is divided by 42\/4 + o\/(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 47562 by 1.\nAnswer: 47562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 3*j + 3, 4 = -2*j + 5*m + 14. Let y = j - -9. Let u = y + 5. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 2\/13 (c) 0.1 (d) -2\/3 (e) -81 (f) 3 (g) -9.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -4725 divided by -7?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*v + 0*v + v - 2*v - 3*v + 3*v + (-7 + 2 + 3)*(-2*v + 0*v + 0*v) + v + 4 - 4 + 2 - 2 + v)*(-34*v + 215*v + 414*v).\nAnswer: 2975*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be 27\/(-2*(-1)\/2). Differentiate u*i**4 + 205*i**2 - 205*i**2 + 7 - 4*i**4 with respect to i.\nAnswer: 92*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 27*z + 51*z + 69*z)*(2*z + 3*z**2 + 0*z - 2*z**2) to d*z**2 + x + o*z**3 + v*z and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 9*z**3 + 739*z**2 + 86*z + 371. Let i = -200 - -414. Calculate the remainder when i is divided by x(-82).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100 + -101111?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.2385 + -0.1385. What is the third smallest value in 7, i, 3, 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -28718 by -2733.\nAnswer: 28718\/2733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 213014672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 10504 and 468.\nAnswer: 94536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -8*v**3 - 8855*v**2 - 3154*v + 18?\nAnswer: -48*v - 17710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -3038.3 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 616350 to the power of 1\/2, to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = -155919 + 155923. Let b = 24 + -37. Let f = b + 18. Solve 3*s - f*d = s - c, -8 = 4*s + 2*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 254694787 is divided by 12493.\nAnswer: 12489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 + 27 - 3*w - 15.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19244 is divided by 74.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 249275 and 1995675.\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 0.0831102 grams?\nAnswer: 0.0000831102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 2*d + 18. Let n be t(-9). Solve n + 4 = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*p**3 + 0*p**3 + 0*p**3 - 16249*p**2 - 2497*p**2.\nAnswer: -3*p**3 - 18746*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = -39\/20 + -227\/140. Let g = -36 - -21. Calculate the common denominator of c and (-43)\/(-2) - 5\/g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -23335186 by -98047.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62 = 4*c - 98. Let j = 15 + c. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 3*x**2 - 3. Let v(l) = -5*l**3 - 5*l**2 + 6*l + 10. Let h be v(-1). Let c be 3\/(-2)*2*3. Let g(f) = 7*f**2 - 6. Determine c*a(u) + h*g(u).\nAnswer: u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/(((-2)\/6)\/(1\/(-3))). What is the remainder when 29 is divided by 0 + 11 - (-3 - d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 - -8 - 8 - -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 100*k - 245*k - 379*k. Let l(h) = -h. Give y(l(s)).\nAnswer: 524*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 240081900 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 42*n - 28059 + 26799. Let l = 44 + 40. Calculate the lowest common multiple of l and n.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 29 + (2829\/92 - (-76)\/(-16))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 807 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 244483219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be -3*((-111)\/9 + 1). Let l be 8\/(-10) + 0 - a\/(-5). Let f(u) = u**3 - 6*u**2 - u. Determine f(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-2)\/(-4))\/((-2)\/(-12)))\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 36 (base 12) to base 5\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 54990 or 54988?\nAnswer: 54990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 8751\/49589*(-357)\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -105 - 11*s**5 + 105 + 117 - 117 - 29*s**5 + (3*s**3 - 4*s**3 + 3*s**3)*(-5 + 5 - 2*s**2 + 2*s).\nAnswer: -44*s**5 + 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 387915 divided by 165.\nAnswer: 2351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - (-6 - (12 - 7)) - -9?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -22*l - 3 + 12 + 3. Let s be n(3). Let p = -53 - s. Which is the closest to p? (a) 0.5 (b) -2 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37065046.\nAnswer: 2, 37, 47, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 3 (b) 0 (c) 1127 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1110101 (base 2) to base 10\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the first derivative of 13*s**7\/21 - 113*s**4\/12 - 32*s + 147. Let u(i) be the first derivative of r(i). Find the third derivative of u(c) wrt c.\nAnswer: 1560*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*h**4 + 2*h**4 + h**5 + (7*h - 7*h + 2*h**2)*(-h**3 + 2*h**3 - 2*h**3) + (5*h**4 - h**4 - 6*h**4)*(-4*h + h + 5*h) - 3*h**5 + 7*h**5 - 2*h**5.\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 51194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 175521 + -175518. Factor -2\/7*a**4 - 24\/7*a**2 - 12\/7*a**o - 20\/7*a - 6\/7.\nAnswer: -2*(a + 1)**3*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2365457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*a*l*r**2 - 1503*a*l + 26*a*r**2 - l*r**2 - 973838*r**2 wrt a?\nAnswer: -2*l*r**2 - 1503*l + 26*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*(-14)\/((-56)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 5*s + 108 = 0, -3*c - 5*s + 190 = -8*c. Are c and -41 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -21279 or 370?\nAnswer: -21279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 21, 28, 33, 36, 37, 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 3.70843 and 0.1.\nAnswer: 0.370843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*c - 3*g + 39, 4*c + 45 = 8*c + g. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -203142, -203143, -203144, -203145?\nAnswer: -203146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 39 = 5*u + 42, 0 = -u - 5*p - 12. Let m = u - -29. Solve m*s = 13*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -232408 in 1\/3, 2\/7, 9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q be -3 - 1 - (-20)\/(1260\/279). What is the nearest to q in -3\/7, -5, 3, -22?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.102 and 263?\nAnswer: 26.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 2*g**2 - 12*g + 15. Let p be o(5). Solve 0 = 3*c + 6, -p*c + 4 = 2*a - 2*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7289, -7288, -7287?\nAnswer: -7286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -855, 0.8, 171 in descending order.\nAnswer: 171, 0.8, -1, -855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:11 AM and 9:53 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 12 (b) 43\/7 (c) 3 (d) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30186 divided by -6.\nAnswer: -5031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 21370*i**2*n**3 - i**2*n**2 + 5*i*n**2 + 2473*n**3 wrt i?\nAnswer: 42740*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a and 2 z when four letters picked without replacement from wazaazawaz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -180*q + 33. Let f(r) = -11*r + 2. Let t(u) = -33*f(u) + 2*l(u). Calculate t(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 27 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 63 - 48. Which is the third biggest value? (a) -2\/3 (b) w (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -34.104639 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19380450 divided by 387609.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 553 minutes after 4:19 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 841 * 0.02\nAnswer: 16.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 3, h: 1, p: 1, f: 3, r: 1, k: 5}. What is prob of picking 3 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 87? (a) -69.667 (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 5*g**3 - 532*g**2 - 36*g - 14. Let z(i) = -6*i**3 + 532*i**2 + 42*i + 16. What is -7*n(k) - 6*z(k)?\nAnswer: k**3 + 532*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 116*g**2 + 233*g + 5. Let n be o(-2). Let u(p) = 1. Let a(q) = q - 12. Calculate n*u(j) - a(j).\nAnswer: -j + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 6*y + 5. Let a(x) = 6*x + x - 2*x + 4. Give -3*a(r) + 2*n(r).\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -4, -13, 1 in increasing order.\nAnswer: -13, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 - 0. Let b = r - -8. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18\/5 + 39\/5*o + 3\/5*o**3 - 24\/5*o**2 = 0. Calculate o.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 112004 (base 7) to base 15.\nAnswer: 5d68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4\/3 (b) 0 (c) -7 (d) 5 (e) 3\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 30336 and 304.\nAnswer: 576384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 9569448 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -9184.974 - -9175. Let p = -0.026 + t. Sort p, 0.1, 0.2 in descending order.\nAnswer: 0.2, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -250*x**2 + 139*x**2 + 129*x**2 + 98*x**2 - 129*x + 122*x**2 wrt x.\nAnswer: 476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3)\/(-9) - (-11)\/3. Suppose 4*n - 15 = -3*i, -x*i - 5*n + 23 = 3. Let t = 0 + 0. Solve 0 = -i*w + 3*c - 4, t = 3*w + 3*c - 7 - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -121\/2 - -1085\/18. Let u = 3 - 3.3. Which is the smallest value? (a) r (b) u (c) -5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2007\/(-2676) - (-2)\/3*3\/2. Let -17\/4*p**2 + 9\/2*p - m*p**3 + 0 = 0. What is p?\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -378, -1511, -3400, -6045, -9446, -13603, -18516?\n\"Answer: -378*z**2 + z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xuqx when four letters picked without replacement from cuqucxcuxunquc?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 * 2.279.\nAnswer: 2.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((130\/276)\/13)\/(8030\/4818)\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 69711772843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 371776871 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/12, 19, 4, 0.5, 0.063, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2286*f + 299*f + 415*f - 2138*f + (1 + 4 - 3)*(-2*f + f + 3*f))*(-f - f + f) to m*f**2 + i*f + s and give m.\nAnswer: 3706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-2262)\/(-312)*(((-120)\/175)\/(-2))\/((-3)\/(-10))\nAnswer: 58\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*m**2 + 5*m**2 - 2*m - 2*m**4 - 3490*m**3 + 3486*m**3 to y*m**3 + o*m**2 + n*m + l*m**4 + x and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = 2*r - 17, -3*o = -4*r - 5*o + 74. Let i = r + -19. Suppose -4*p + i*d = -2 + 22, -3*p + 3*d - 12 = 0. Let v(y) = 3*y + 4. Determine v(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/7, 0.3, -2149914, -31 in ascending order.\nAnswer: -2149914, -31, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = z - 2, 3*z + 4 = 3*n + 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes after 3:29 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 4*m - 498 = 1054, 2*x - 5*m = 783. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 26a4a - -3a8a?\nAnswer: 2aa29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 50 - 173 - -84 - 44?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1613668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -8*y**2 - 2*y - 4. Let c = -2 - 4. Let r(j) = j**2 + 4 - 3 + 0*j**2. Let b be -1 - 0\/(0 - 2). Give b*l(f) + c*r(f).\nAnswer: 2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1513011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1182235ng to milligrams.\nAnswer: 0.0000001182235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 276089 or 276088?\nAnswer: 276088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5870 and 1630.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7027 + 7030. What is the nearest to 0.1 in -5, -0.92, g?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/5, -1, -4, -24 in ascending order.\nAnswer: -24, -4, -1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2204*l + 2196*l = -1083112. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes after 2:23 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 71 - 43. What is the highest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -16*r**2 + 3*r - 3*r + 14*r**2 + 17 as n + l*r + h*r**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -8 * 0.9\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-31 + 5740\/196)*105\/(-27).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 309.0757nm in kilometers?\nAnswer: 0.0000000003090757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d**2 + 12*d - 18. Let b be h(10). Suppose 5*m = b*m, 2*y - 3*m = 282. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t - 3*t = 5*y + 32, 3*t = 3. Let k be 1 - (3 + y - -3). Suppose -2*u = 3*u + 2*l - 225, k*u = -l + 91. What are the prime factors of u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -a48dda (base 16) to base 10.\nAnswer: -10784218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 21 or -2\/101?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-55)*(-152)\/133*(-80)\/128?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -60 in -266\/67, 0.2, -2, 0?\nAnswer: -266\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qklkklllklllklklkq. What is prob of picking 1 q and 2 k?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 15102103 to the power of 1\/2, to the nearest integer?\nAnswer: 3886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (199\/398)\/(1\/60)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((sqrt(245)*-4)**2 + sqrt(5) - (sqrt(100)\/sqrt(4))\/sqrt(5)) + 5*(4*-6*sqrt(10)\/sqrt(2))**2.\nAnswer: 18323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*5*((sqrt(448)*-2 + 2 - 4*(sqrt(448) + 1)) + -1*sqrt(448)*-4 + -2 + -1 + sqrt(448) + sqrt(448))**2*6.\nAnswer: -3000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 1 = -2. Let a = 48 + -46. Factor -k**z + 0*k**3 + 4*k**2 - 2*k**a - k**2.\nAnswer: -k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.24 - -0.2. Let r = l + 2.04. Let b = -47 + 45. What is the closest to -2\/5 in b, r, 5\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**2 - 13*o - 16. Let y be p(17). Let x = y + -49. What is the biggest value in -2, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 4*b - 404 = 0, -q = -b - 2*b + 77. Let c = -46 - q. What is the second derivative of 13*m + 5*m**4 + 17*m - c*m wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 0, 8, 3332, 4, 1 in increasing order.\nAnswer: -4, 0, 1, 4, 8, 3332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11701.\nAnswer: 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 28\/(12\/((-210)\/(-35)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 19 + -13. Suppose 26 = 4*m + 2*z, -3*m = -z - v - 6. Suppose 0 = -m*i + 4*i + 5. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4335959.\nAnswer: 4335959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (781\/3905)\/((-38)\/20)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4 + 5. Let a = -6.02 - -0.02. Is a less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the second derivative of 0 + 5\/9*b**4 - 1\/3*b**5 - 3*b - 5\/9*b**3 + 1\/9*b**6 + 1\/3*b**2 - 1\/63*b**7. Determine l, given that c(l) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -5 - 3. Solve 3*r = -p + 18, 16 + 10 = d*r + 2*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -55*d**2 + 8*d - 18. Let b(u) = 440*u**2 - 67*u + 150. What is -6*b(o) - 50*m(o)?\nAnswer: 110*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 7*j**2 - 3. Let f be (2\/3)\/((-4)\/(-18)). List the prime factors of i(f).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -7287*h**3 - 225*h**2 - 3. Let k(y) = -2915*y**3 - 90*y**2 - 1. Let q(f) = -12*k(f) + 5*o(f). Find the third derivative of q(b) wrt b.\nAnswer: -8730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 356*n + o = 357*n - 7, 4*n - 103 = 19*o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -23\/5 + 79\/15. Suppose 0 = 4*l - 4*f + 84, 3*l + 60 = -0*l + 4*f. Let b be ((-1)\/10)\/(4\/l). Sort -0.1, k, b in decreasing order.\nAnswer: k, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6 + 2. Let c = z + 6. What is the remainder when (-6 + 5)\/(c\/(-14)) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 410 is divided by -7 + 40\/8*(1 + 17).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -4 + 1 + 2 - 2*l**3 + 2. Suppose -4*q - 3 - 38 = -h, -2*q - 52 = -2*h. Let i = -25 + h. Let y(g) = g**3 - 1. Calculate i*w(p) - 6*y(p).\nAnswer: 2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 80 - 31. Is w smaller than 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(384)*1)\/(sqrt(81)\/sqrt(3)).\nAnswer: 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that -2*z**3\/5 - 11334*z**2\/5 - 19528326*z\/5 - 9224310338\/5 = 0.\nAnswer: -2449, -769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 2, f: 3, m: 4, a: 1, g: 6}. What is prob of sequence ggaf?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-450)\/(-4455)*836\/(-152)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((s**3*s)\/s)\/s*(s*s\/(((s\/(s*(s*s*s**1*s)\/s*s))\/s*s)\/s*s*s*s*s))\/s)\/(s**(6\/5)*s*s*s*s\/(s*s\/s**(-11))*s*s*s*s))**(1\/25) assuming s is positive.\nAnswer: s**(39\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 881128 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 34400 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -103 divided by -73\nAnswer: 103\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -v - 24*k = -29, -2*k = 278*v - 277*v - 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10827 is divided by 490.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -5*m + 15. Suppose 12 = -4*u + 6*k - 2*k, 3*k = 4*u + m. Suppose -7*a = -2*a - 2*o - 97, -40 = -u*a + 2*o. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the first derivative of -76*m**3 - 7 + 75 + m - 2*m**2 + 62 + 85. Find the second derivative of z(c) wrt c.\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 16*v**2 - v - 1. Let l be g(-1). Suppose -2*y - 6 = -l. Let t = y - 2. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 16*o + 258. Give w(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:14 AM and 2:28 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 3*f**2 - 69*f + 36. What is h(27)?\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 14 - 5. Suppose -p + x = 2*p. Suppose 4*y = -p*q + 1649988, 2*y - 549994 = -q - 0*y. Round q to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 7) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 8*w + 42 - 34 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 190779579 to the power of 1\/2, to the nearest integer?\nAnswer: 13812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6)\/57 + (-118)\/(-38). What is the third derivative of 6*c**2 + 13*c**3 + 30*c**y + 15*c**2 - 12*c**3 wrt c?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x + 3 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = 5*b + 26. Let o = b + 17. Let r(s) = 8 - 4 - s**2 - 2*s - 3*s**2 - 2*s. Let i(v) = 17*v**2 + 17*v - 17. Calculate o*r(f) + 2*i(f).\nAnswer: -2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*l - 2*l - 3*l)*(1 + 0 + 1)*(0*l**3 - 2 + l**2 - 3*l**3 - 5*l**2).\nAnswer: 12*l**4 + 16*l**3 + 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-5)\/d*d)\/d*d*d*d**2*d)\/(d*d**(-1))**(2\/77)*((d\/d**(5\/4))\/(d**(-1)*d))**(2\/11) assuming d is positive.\nAnswer: d**(-23\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -34.037 + 0.037. Let q = o + -14. Let h = q + 50. What is the second biggest value in 2\/3, -10, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that -2*r**5\/11 - 108*r**4\/11 + 408*r**3 + 102892*r**2\/11 + 191898*r\/11 + 93600\/11 = 0.\nAnswer: -75, -16, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 335 - 331. Suppose 2*k = 2, i*t - t - 1156 = 2*k. Does 28 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 3 + ((-4*(sqrt(119)*2 - sqrt(119)))\/sqrt(7))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -13, -4.\nAnswer: -13, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 762910.\nAnswer: 2, 5, 23, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -47 and -63332872?\nAnswer: 63332825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -29, -59, -99, -155, -233, -339, -479?\n\"Answer: -c**3 + c**2 - 26*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**3 - 2*x**2 + 2*x - 2. Let v be (4 + -16)*333\/(-12). Let q = -331 + v. Give w(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 0.5, -0.1, 1\/66, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -733562812*u**4 - 476848149 wrt u?\nAnswer: -2934251248*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5824 and 35392.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, e: 2, g: 2, o: 4}. Give prob of sequence gg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-798)\/(-190))\/21 + 1\/(896\/(-214)) and 109\/60.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 2*x - g, 4*g + 10 = x + 4. Solve 0 = 4*q + 4*l - l - 17, -x*l - 12 = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -3*q + 8. Solve 0 = 32*p - 41*p + q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-10)\/(-4)*(-2 + 4). Solve h - 3*w - 11 = 0, -d*h + 0*h = -w + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 0.1 and 39365 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 11*a**3 + a**2 - a - 1. What is p(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the third derivative of 1\/40*m**5 + 0*m**3 + 0 + 0*m - m**2 + 1\/720*m**6 + 1\/4*m**4. Let w(k) be the second derivative of y(k). Give w(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -276, -511, -740, -963, -1180?\nAnswer: -1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -434 + 434 - 38*w**2 as b*w**2 + o + a*w and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) 0.056 (b) -278 (c) 0.04 (d) -0.1 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor p**3 - 7617*p**2 - 137413*p - 129795.\nAnswer: (p - 7635)*(p + 1)*(p + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 + 1. Let a be (-2)\/8 + 3*(-98)\/(-120). Let v = 7 + -6. What is the closest to n in 2\/7, a, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 8*i - 20 = 0. Suppose -i*a = -0*a - 25. Suppose -4*o + 25 = o. Calculate the greatest common divisor of a and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) -3\/7 (c) 4 (d) -5 (e) 4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 2, b: 2, y: 1, q: 1, m: 4, f: 4}. Give prob of sequence qy.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 5.425449 decades?\nAnswer: 0.5425449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -137\/231438 and -83\/8.\nAnswer: 925752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (363 - 352 - (-2 - (-3 - 24))) + 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 63199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -97411*r + 90592233. Calculate f(930).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 4.91 * -4.25778\nAnswer: -20.9056998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 44.97936 decades in years?\nAnswer: 449.7936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 252761 is divided by 84069.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*i - 46 = -4*n + 29, -370*i + 10 = -2*n - 368*i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the first derivative of 255 - 7\/3*b**3 + 3\/2*b**2 + 107*b. Differentiate f(j) wrt j.\nAnswer: -14*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 35, 131, 293, 521?\n\"Answer: 33*t**2 - 3*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*l + 446 = 47. Let g = 229\/4 + l. Is g != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.04 (b) -14 (c) -3 (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 248 divide 10406576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/1246 and -103\/5162.\nAnswer: 36134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0003579 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the second derivative of t**5\/20 + 5*t**4\/6 - 4*t**3\/3 + 4*t**2 + 7*t. Let s be n(-10). Let p = s + -50. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -235 divided by 4.\nAnswer: -235\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-2)\/(-4))\/(47\/29610). Calculate the highest common divisor of a and 462.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(-15))\/(10\/(-100)*18)*12.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (12 + (4 - 18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - 6\/(0 + -2))*1. Let a(c) = 529*c**2 + 8*c - 17. Let s be a(i). Let z = -291545\/22 + s. Calculate the common denominator of z and 25\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -0.4 (b) 0.5 (c) 4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c + 189 + 183. Let z = -65 - c. Find the common denominator of ((-7)\/z)\/(2\/180) and -41\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 102 and 3639258.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -9*y**2 + 6*y - 24. Let z(r) = 16*r**2 - 10*r + 47. Calculate -5*p(x) - 3*z(x).\nAnswer: -3*x**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -232 - -3013?\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -8*h - 2. Let m(x) = 7*x + 2. Suppose t = 3*f - f - 60, -124 = -5*f - 4*t. Let l = f - 23. Determine l*m(v) + 4*j(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -31 + -4 - 4 - (-130 - -114).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 5, 1, -5, -13, -23?\n\"Answer: -l**2 - l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 7078000 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the first derivative of -m**4\/4 - 4*m**3\/3 - m**2 + 3*m + 7. Let p(l) = -l**3 - 13*l**2 - 2*l - 29. Let k be p(-13). Calculate y(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.17688+-7528542.225\nAnswer: -7528541.04812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(833)*2 + sqrt(833))**2 - (-3 + (sqrt(17) - sqrt(68)\/sqrt(4))**2 - ((sqrt(68)\/sqrt(4) - sqrt(17)) + -3)).\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 18\/12*(1\/(-2))\/((-70)\/(-210))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -493 (c) -0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 119942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3268*z - 104203 + 499631 = 0 for z.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:06 AM and 11:15 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -5*z + 67. Suppose r = 7 - z. Put -3, -5, r in increasing order.\nAnswer: r, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 29.36 + -35.2. Let x = -6 - t. Let j = -0.159975 - x. What is j rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 2*u - 51*u**2 + 0*u**3 - 2*u**3 - 5*u + 57*u**2 - 1764 + 1765. Determine o(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 2, a: 1, f: 3, c: 1, h: 6}. Give prob of sequence hcho.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 1220 = -0*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the second derivative of -m**6\/10 + 3*m**3\/2 - 3*m. What is the second derivative of h(p) wrt p?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.1, -18, -0.5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**(1\/2))**41\/((v*v**(1\/2))\/((v**(2\/13)*v)\/v)))**(-11) assuming v is positive.\nAnswer: v**(-8602\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 4*h + 39 = 13, 2 = -3*f + h. Let k be ((-24)\/48)\/(f\/120). Let q = -28 + k. Which is smaller: 9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -81*t + 17 = -2*c - 78*t, 3*c + 28 = 5*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 353 is divided by 5\/(-10) + (-525)\/(-10) + -1?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**3 + 10*r**2 + 7*r - 13. Let y = 13 - 7. Suppose -y*x + 4*x = 18. Let q be s(x). Solve 0 = q*w - 5*f - 11 - 9, 4*w + 8 = -4*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (25740\/48048)\/(60\/1764)?\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 + 14 = 2*x. Suppose x = -0*f + 4*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + q + 1 = -4, -2*i + 5*q = -25. Let z = -205 - -214. Solve g + 1 = -3*v + z, i = 2*v + 2*g - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*y**4 + 1378*y**3 + 1873*y**2 + 17335879*y?\nAnswer: 24*y**2 + 8268*y + 3746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out -382 + 1173.\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:59 AM and 1:47 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 12 - 10. Which is the second biggest value? (a) -5 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100001 - -10001?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r, 1 u, and 1 b when four letters picked without replacement from {u: 3, z: 5, b: 1, p: 1, r: 4, y: 3}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*g - 8 - 8. What is the units digit of 20 + -2 + (g - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -39*z + 5*r - 69, 2*z + 1427*r + 20 = 1430*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-152)\/(-299 - -223))\/(14\/13).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 776283961?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -29, -1\/7, -1\/2, 2\/5, -2\/15?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 3 - 2 - 1 - 1 - f - 5. Determine c(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 187 - 159. Suppose 5*h = 9*h - l. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 6080877996?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 931888*q**4 + 326517*q**2.\nAnswer: 22365312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53560 = -45*d + 41*d - w, 0 = -3*w - 12. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-56)\/(-6)*1098\/(-12). Let z = -854 - d. Let x be 1\/2 - 42\/68. Is x greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the first derivative of -x**4\/4 + x**3\/3 - 5*x**2\/2 + 62. Let t(i) = -i**3 - i**2. Calculate d(m) + t(m).\nAnswer: -2*m**3 - 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify s*s**0*s**(-2\/7)*(s**1)**34*(s*((s*s**(-1\/4))\/s)\/s)**(-1\/13)*(s\/(s\/(s*s*s\/s**(-1\/4)*s)))**(4\/23) assuming s is positive.\nAnswer: s**(296977\/8372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) be the second derivative of r**4\/12 - 7*r**3\/6 + 4*r**2 + 6*r. Calculate x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-12) + 2\/6. Let x be 158\/(-553) - 4\/(-14). Let d = s + x. Which is greater: d or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -19*r**4 - 6*r**2 - 6*r + 13. Let t(q) = -37*q**4 - 11*q**2 - 11*q + 25. Let h(u) = 11*l(u) - 6*t(u). Find the first derivative of h(o) wrt o.\nAnswer: 52*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -48*s**3 + 94*s**3 + 42*s**3.\nAnswer: 88*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6173 is divided by 452?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m. Let q(k) = -k**2 + 2*k + 17. Let b be q(5). Let p(y) = -101*y**2 + 3 + 102*y**b - 3. Give w(p(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 10, v: 2, n: 1, o: 4, u: 2}. Give prob of picking 1 v and 2 o.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -105\/75683?\nAnswer: -105\/75683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2897 is divided by 146.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 40 = -2*v, -5*p - 52 - 16 = -3*v. Let z(k) = 15233*k**2 + 24*k - 32. Let y be z(v). Round y to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(2*sqrt(70) + sqrt(70))*6*-4*-4)\/((sqrt(160)\/sqrt(4)*-2)\/(sqrt(400)*-2)).\nAnswer: 5760*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 2577074, 2577065, 2577052, 2577035, 2577014, 2576989, 2576960?\n\"Answer: -2*o**2 - 3*o + 2577079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = n**2 + 11*n - 106. Suppose -4*f = -3*c - 44, -50*c + 47*c + 2*f = 52. Let y be l(c). Is y at most as big as 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21565944 divided by 12?\nAnswer: 1797162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = 5*l - 105, 2*n + 2*l + 71 = 5*l. Let t = 10 - n. Let m = t - 31. Is 19 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 171*q - 592*q + 1323*q**6 + 0*q**2 + 23*q**6 - 730*q - q**2 wrt q?\nAnswer: 161520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.01702 * 38\nAnswer: 0.64676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 79005343 to the power of 1\/3, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, -3921\/17, -6, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -12 and -432?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.0132 and 0.3?\nAnswer: 0.00396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 460 = -5770. Is p a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**16*a**10)\/((a**(-20)*a*a)\/a**(1\/7)) assuming a is positive.\nAnswer: a**(309\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 4512 + -4533 + (18 - (-2 + 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 18816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28924 is divided by 239?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1.03? (a) 1\/2 (b) 0.7097 (c) 266\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3640171 - 2?\nAnswer: 3640167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 1470*j + 56105. Calculate m(-37).\nAnswer: 1715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-35)\/10 + 2 - 11\/(-2). Suppose -13 = -5*n + v*z, -n - n = z - 13. Solve -c + 3 = p + 2, 3*c + 29 = n*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**2 + 23*k - 178. Let t be a(6). Let g = 4 + 2. What is the tens digit of -74*t\/g*33\/44?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38021834 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -3115 * 0.349\nAnswer: -1087.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((16192\/(-23))\/(-11))\/(2\/2)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 953, 1903, 2849, 3791, 4729, 5663, 6593?\n\"Answer: -2*f**2 + 956*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 4\/5 (b) 38 (c) 6\/197\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 23*b - 24*b - 19. Let f be -1*b\/(-38)*(-4)\/10. Factor 0*p + 0*p**3 + 0 + f*p**4 - 1\/5*p**2.\nAnswer: p**2*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 2*s**2 + 54*s - 4. Let v be ((-9)\/(-6))\/((-7)\/(-126)*-1). Determine j(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 53.36169 micrograms?\nAnswer: 53361.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 432 and 864?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 204592 and 2128?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 53\/111 and -169\/330?\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 17, v: 2}. Give prob of sequence aaa.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b**2 - 11*b - 30. Determine k(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (1*sqrt(3)*4*2*4 - ((-2 + sqrt(147))*4 + 3))*-5)**2.\nAnswer: 920*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**2 + 3*f - 4. Determine q(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27183*-3868.\nAnswer: -105143844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1331)*-2 + -5.\nAnswer: -22*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + i - 23 = -29, 4*i = -24. Let r be (-2)\/(-1) + -2 + 0. Suppose -4 = -r*x - 4*x. Solve b = t + 2 + x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4 + -9. Let m be 6\/10 - 2\/k. Suppose 0 = -0*v + v - 5. Put -2, v, m in descending order.\nAnswer: v, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u, 1 i, and 1 j when three letters picked without replacement from {u: 1, p: 1, s: 1, r: 2, j: 1, i: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 69 - 138 + 69 + f**2. Let g(l) = 2*l + 3. Let y(x) = -19*x - 28. Let i(c) = 6*g(c) + y(c). Determine u(i(s)).\nAnswer: 49*s**2 + 140*s + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the second derivative of 3*y**5\/140 - y**4\/7 + 3*y**3\/14 - 395*y. Let h(m) = 0. What is m?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 12 = 3*g. Suppose b = -g*b. Solve b + 1\/2*r + 1\/2*r**2 = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -224 + 5?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let 2*i**4 - 237*i**3 + 7376*i**2 - 70053*i + 33212 = 0. What is i?\nAnswer: 1\/2, 19, 23, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -40.3 in 2\/3, -3, 3713\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -25 - -25.5. Which is the smallest value? (a) -4 (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2099 + -31481\/15. Let f = 2 + 1. Which is the second smallest value? (a) f (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1008)\/sqrt(3))\/(sqrt(7) + -5*sqrt(28))*2.\nAnswer: -8*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/125 of a minute in milliseconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -6 (b) 11 (c) 5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4482 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.9 - 0.3. Let k = s + -1. What is the nearest to -1 in -3\/4, 0.1, k?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-4\/7)*k**0\/k)**(2\/53)\/(((k*k*(k*k**(-2\/9))\/k*k)\/k*k)**1*(k\/(k*k**(2\/13)\/k))\/((k*k**(-2))\/k)) assuming k is positive.\nAnswer: k**(-246692\/43407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 126706, 127333, 127960, 128587, 129214?\n\"Answer: 627*r + 126079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-50)\/18 + 6 + (-8)\/36.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*f**4 + 3*f**4 + f**4 + 3*f**4 - f**4 - 4*f**4 + (0 + 0 - 1)*(6*f**4 - 2*f**4 - 3*f**4) + 1 - 1 + f**4 + (-2 + 3*f + 2)*(3*f - 2*f**3 - 3*f).\nAnswer: -7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -687*o + 5238. List the prime factors of h(-63).\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4510000 to the nearest 100000.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -14? (a) 0.6 (b) -2 (c) -0.029 (d) -5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the third derivative of j**5\/30 + j**4\/8 + 5*j**3\/6 - 5*j**2. Let i = -1 + -2. Let k be w(i). Calculate the greatest common factor of k and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t**2 - 5*t + 1. Suppose 36*k - 313 = -61. Give d(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 10332223122 (base 4) to base 13\nAnswer: 369192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 573*o - 2525. Let z be p(5). Calculate the greatest common divisor of 3332 and z.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in fourty-two fifths of a second?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 231 <= 231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1\/(-2))\/((-23)\/230). Solve f*c = -0*u + 4*u - 22, -2*c - 4 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 6\/95 (b) -0.2 (c) -5 (d) -22 (e) 4 (f) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 468 minutes before 8:39 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -45*j**3 + 3444*j**2 - 1825*j + 86. Determine q(76).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: What is (-81)\/(-45) - (341\/220 - -1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -6847 rounded to the nearest 100?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n**2\/13 + 23122*n\/13 + 4059964\/13 = 0. What is n?\nAnswer: -173, 11734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 272 and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -527*c**2 - 4*c - 40*c**2 + 4*c + 4*c**2 to the form p*c**2 + s + q*c and give p.\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -27, -451, -875, -1299, -1723, -2147?\n\"Answer: -424*v + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0074198061 to 6 decimal places.\nAnswer: 0.00742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23631 is divided by 108?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 33 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 101265 divided by 645.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -37 >= -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -45*a**2*z + 92127*a**2 + 2*a*q + 254*a*z + 4*a - 2*q*z + q + 88*z wrt z.\nAnswer: -45*a**2 + 254*a - 2*q + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(4)\/(1*sqrt(2)*-2) + -2 + (sqrt(450)*-1)\/(2*sqrt(324)))**2.\nAnswer: -11*sqrt(2)\/6 + 193\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**3\/6 - 300611*y**2\/6 + 601228*y\/3 - 200410.\nAnswer: -(y - 2)**2*(y + 300615)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1161 and 891?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = -2*s + 2, -23 = -4*x + 3*s + 8. Suppose -z = x*l + 1 + 2, 0 = 5*l - 5*z + 10. What are the prime factors of ((-48)\/(-18))\/(l\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 80 - 0. Suppose 0 = -3*p + 26 + 22. Calculate the greatest common factor of z and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3185 is divided by 110?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 48*i + 5966 = 5630 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 1113342 (base 5) to base 15\nAnswer: 5d32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1263 and 33.\nAnswer: 13893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -6*c**3 + 1. Suppose 5*k + 25 = 0, k + 1 = 4*i - 0*k. List the prime factors of q(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**3 + 9*k**2 - 11*k - 4. Calculate x(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -107*n + 119*n = -12. Which is the closest to n? (a) 2\/23 (b) -13 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -43 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 8757901027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*i - 11 + 60 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -6550 divided by -50?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s**2 - 3*s - 2. Suppose -9 = 2*c + 2*u - 5*u, 5*c + 5*u - 40 = 0. Determine m(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -j - 5*t = -16, 5*j - 20*t + 40 = -15*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.02 * -683136.\nAnswer: -13662.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2*(-3)\/(-6)*12. Does 5 divide -2 + (-1 - -1) - l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -f**3 + 9*f**2 + 6. Let r be t(9). Let z = 7 - r. Calculate the least common multiple of (z + -3 + 1)*-18 and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 5*v + 4. Let o(n) = -4*n - 5. What is -3*h(s) - 2*o(s)?\nAnswer: -7*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k - 54 = 12. Let c = 23 - k. Calculate the smallest common multiple of c and 14.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11778?\nAnswer: 2, 3, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k - 4*z = -4, 2*z = 4*k - 2*z + 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.23? (a) -1 (b) 1\/8 (c) 1\/6 (d) -35 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1010012 (base 3) to base 16\nAnswer: 32f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1\/6, 0.5, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 1, z: 1, g: 1, c: 7, t: 2, p: 8}. What is prob of sequence tgzp?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 979, 1956, 2933, 3910, 4887?\n\"Answer: 977*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 663 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 22 = 6. Suppose -79 = -3*q + w, q - 5*q + 4*w = -100. Let h = i + q. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n + 3*v = 25, -4*v - 77124 = n - 77146 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the third derivative of -3*c**7\/35 + c**6\/3 + c**5\/6 - 5*c**4\/3 + 4*c**3\/3 - 18*c**2. Solve p(l) = 0 for l.\nAnswer: -1, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.028 + 1.028. Let k be ((-15)\/(-100))\/(2\/(-8)). Which is the closest to x? (a) k (b) -2\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*3*sqrt(5) - (2*sqrt(125) + sqrt(125) + sqrt(125)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 3 - (9 + -5) - (-8 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 360840 - 208657. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8 - -5) + (7 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 85758 is divided by 256?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = y**2 + y - 3. Give k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (8 + -22 - -4) + 3 - (1 - -12 - 13)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -14*f - 7. Let h be l(-6). Let g be (4\/6)\/(-18*(-8)\/1512). Calculate the highest common factor of g and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -38 divided by -136?\nAnswer: 19\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 258.26 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45975 is divided by 532?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*o**3 - 2*o**3 + 2 - o**3)*(9*o - 8*o - 87 - 3*o) to j + i*o**4 + g*o + q*o**2 + u*o**3 and give j.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 2 + o + (-1 + o + 1)*(1 + 2 - 1) + (2*o - o + 3*o)*(-4 + 5 - 2) + (-14 - 1 + 0)*(-3 + 3 - o) to q + r*o and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the third derivative of l**6\/120 + 3*l**5\/20 + l**4\/3 + 11*l**3\/6 - l**2. Let m be a(-8). Let p = 6 - m. Sort p, 3, 0.\nAnswer: p, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q - 9. Let j(x) = 3*x - 9. Let b be j(3). Suppose 0 = -2*o - 4*k + 6, 0 = -5*o - b*k + 5*k - 60. Give s(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6977 = -18*u - 2725. Let o = 624 + u. What is the greatest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -32 (base 16) in base 13?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) be the first derivative of k**3\/3 + 5*k**2\/2 + 6*k + 2. Let q be p(-4). Is 127 + (0\/(-3))\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the third derivative of -m**6\/360 - m**5\/30 - 5*m**4\/72 + 16*m**2. Suppose t(a) = 0. What is a?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the second derivative of h**3 - h. Let b(q) = -q + 4*q + 67 + 88 - 155. Give b(x(g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be (28\/(-6))\/(1\/(-6)). Suppose -102*n = 57*n - 75*n - 16464. Calculate the highest common factor of v and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4, 9, 22, 29, 24, 1, -46, -123?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -349 - 31. Let l = -358 - h. What is the remainder when l is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -2*j**2 - j + 4. Let s be r(-4). Let m be (s\/(-10))\/(1\/10). Calculate the greatest common factor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*i - 37 - 19. Let o = 19 - 9. Let m = i - o. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y + 2*i, 3*y = -6*i + 3*i + 3. Let p(d) = -d**2 + d + 1. Let u(o) = 0 - 4 - 3*o + 2*o**2 + 2*o. Suppose 3*f + 13 = 4. What is f*p(v) + y*u(v)?\nAnswer: v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 6 = -5*w - 57, -3*a + 81 = -3*w. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 122*q - 277*q + 5380 = 114*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -52, -65, -78, -91, -104?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + 2 - (7 + 4 + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14*((-10)\/(-12))\/(-1)*(-7)\/(301\/(-129)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 193 + 67 = g + 2*x, 0 = 5*x + 10. Is 22 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 11 - 8. Suppose -11 = -w*m + 4. Which is the second biggest value? (a) m (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -36*j**2 - 3*j - 1 + 79*j**2 + 2 - 42*j**2. Let l(d) = -d**2. Let s be l(-2). Let u = s - -5. Calculate p(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6 - -6.1. Suppose -4 = -s - 2. Let z = s - 2. Put 0.2, z, y in descending order.\nAnswer: 0.2, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1, -9, -19?\n\"Answer: -10*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 5\/3 (b) -5 (c) -1531024 (d) 0 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*j = 5*j - 15, 3*j - 14 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 9 + -7.9. Let x = -0.9 - w. Let k = 2 + 2. Which is the third smallest value? (a) k (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 90 minutes before 10:24 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:32 PM and 9:04 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:35 PM and 10:15 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + q + 14 = 0, -5*i = -0*q - 2*q - 18. Solve -3*k - 3 = i*j - 5*j, 0 = 3*k - 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the third derivative of -c**7\/840 + c**6\/96 - c**5\/60 - 831*c**2. Factor d(j).\nAnswer: -j**2*(j - 4)*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 929 + -40057?\nAnswer: -39128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -3*d + 11. Give m(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-12)\/5)\/(((-29547)\/(-210))\/(-67))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 331228800 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*m**5 - 39*m**4 - 12*m**3 + 66*m**2 + 1838*m.\nAnswer: 300*m**2 - 936*m - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -16562.48441 to the nearest ten.\nAnswer: -16560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26318 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (156*(-5)\/(-18915))\/(1*2)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 32 + -13. Let p = -11 + y. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3a23903 (base 11) in base 15?\nAnswer: -92715a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6688 - -10009. Is 58 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 < 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/121 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 65\/(325\/(-436)) - 6*10\/((-100)\/(-3)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -61 = 3*u + 26. Let w be (4\/5)\/((-2)\/(-155)). Let a = u + w. Calculate the greatest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -b**4 - 284*b**3 - 23867*b**2 + 59*b - 1692189?\nAnswer: -12*b**2 - 1704*b - 47734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -77\/171 and -28\/495.\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 3) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2827 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -7 - (8 + (-9 - 5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 87901 is divided by 2367?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 b and 1 g when four letters picked without replacement from {g: 1, b: 6, c: 1, y: 1}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -3*x**3 + x**2 + x - 2. Let c be y(0). Let m = -0.8 + 3.8. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 431 and 2.\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (b**5 - 6*b**5 + 3*b**5)*(-4 + 2 + 4) + b**5 - b**5 - 2*b**5 + 1 - 1 - 2*b**5 - 3*b**3 + 12*b**3 + 5*b**5 - 49*b**3.\nAnswer: -3*b**5 - 40*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 6993.403 millilitres in litres?\nAnswer: 6.993403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -141 + 156. Suppose 0 = -4*b + n + 53. What is the highest common divisor of b and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 391171 (base 11) in base 12?\nAnswer: 2588b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the second derivative of 149*o**4\/6 + 3*o + 1. What is the hundreds digit of t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -145575, -291155, -436735, -582315, -727895?\n\"Answer: -145580*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -6 + 0*y**2 + 3*y - y + 4 + y**2. Give s(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4*t**3 - 4)*(-3 - 2 + 2)*(1 + 4 - 4).\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*v + 194 + 1074. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -4*s + 3. What is the third derivative of 3*q**2 - q**s + 20 + 103*q**3 - 102*q**3 + q**5 wrt q?\nAnswer: 60*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/17, 5, 28, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 11 (base 9) to base 13\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1119019 a multiple of 429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o - 10 + 86. Let a be ((-3)\/(-9))\/((-2)\/(-24)). Suppose a*r - 35 = -r. Calculate the remainder when o is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32815918903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-10)*o**(-1))\/(o**(-3\/8)\/o*o\/o**(-18)))**(-28) assuming o is positive.\nAnswer: o**(1603\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from upbpfpf. What is prob of picking 2 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -1478*y - 1171567. Determine d(-793).\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 15 = -8*n. Let g be n - ((-95)\/(-6))\/5. What is the closest to 0.06 in g, 0, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7*(72\/(-168))\/(((-6)\/1130)\/((-2)\/(-10))).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2746 + 2744. What is the closest to 0 in -0.115, m, -0.4, -1?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from boobooooxosb. Give prob of sequence bx.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 11*p**3*y**2 - 6*p**3 + 107*p*y**2 wrt p?\nAnswer: 66*p*y**2 - 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -71*r**2 - 95*r**2 + 100*r**2.\nAnswer: -66*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + 2*o - 14 = 0, 5*o - 589 + 606 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 38 + -22. Let x = -15.5 + t. Let u be 6\/(-3)*(-5)\/(-30). Which is the nearest to u? (a) x (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (17 - 9 - -16) + 9 + -19.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2 (b) 24\/23 (c) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -51534225 (base 6) to base 14.\nAnswer: -2ab049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = o. Suppose 4*x - 14 = 6. Let b be c(x). What is the second derivative of d + 4*d**2 + b*d + 10*d**2 - d wrt d?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.38 - -0.02. Let y = 3.06 + -0.06. Put b, 0, y in decreasing order.\nAnswer: y, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-162)\/24 + 6 + (-207)\/12. Calculate the least common multiple of 91 and (-1264)\/d - (-16)\/(-72).\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 202 + -251. Let s = -49.1 - k. Which is the second biggest value? (a) s (b) -1\/9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by -36987.\nAnswer: -1\/36987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-9)*t)\/(t*t\/(t\/(t*t**(1\/11))*t)*t))**(-3)*(t**(-7)\/t*t*t**6)\/(t**0*t*t**(1\/10)) assuming t is positive.\nAnswer: t**(3099\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -0.33 (c) -4\/7 (d) 5\/4 (e) -1\/9 (f) 1.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 159 a factor of 4777950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 178020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be -6 + 3 + 16\/5. Let 0*w - 1\/5*w**2 + x*w**4 + 0*w**3 + 0 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15*h**2 - 4*h**3 + 3*h**3 - h**3)*(7 - 6*h - 7) + 0*h**4 + h**4 + h**4.\nAnswer: 14*h**4 + 90*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26301 is divided by 165?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 17256185 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3427600 rounded to the nearest 10000?\nAnswer: 3430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qrqnrqqmnrrrnrmgjrnq.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 1708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 3b6d5 (base 15) to base 4.\nAnswer: 232201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:45 PM and 11:54 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 44 - 18. Let w(x) = 64*x - 442. Let h be w(7). Let f = h + g. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of y**6 - 267*y**5 - 2*y**3 + 6326*y**2 + 2 wrt y.\nAnswer: 120*y**3 - 16020*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**3 - 5*u**2 + 5. Let i be c(5). Suppose 0*p = i*p. Which is bigger: 1\/19 or p?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -l + 4*n + 66, n - 61 = -2*l. Suppose -127 + l = -3*g. Let z = g - 28. Solve z*i - 14 = -5*t, 2*t + 2*t + 5*i - 13 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1858?\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -93*g - 1302 = 245*g + 6134 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -15*y**2 + 2*y - 11. Suppose -2*k = -4*o - 22, -2*k - 5*o - 24 = -10. Let f(n) = -9 + 4 - 7*n**2 + k*n - 2*n. What is 13*f(l) - 6*q(l)?\nAnswer: -l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -498 - -276. Let q = 132.3 + c. Round q to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 20, 22, 32, 56, 100, 170?\n\"Answer: z**3 - 2*z**2 + z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -24138 divided by -8046\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i**3 - 8*i**2 - 11*i - 18. Suppose 7 = r - 2*r + 3*f, 0 = 2*r - 3*f + 14. What is the lowest common multiple of 90 and m(r)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*u - 2 = -2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 0 - 2*y)*(3 - 4 - 1) + y - 7*y + 4*y + 3*y - 20 + 26 + 0*y to the form t*y + c and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*k = 2*k + 630. Suppose -k = -5*r - r. Suppose 3*m + 2*m + 3*b = 10, -5*m + 10 = -4*b. Solve 0 = 2*p + 2*p - h + 13, -r = -m*p - 5*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in -0.0459, -1\/19, 27?\nAnswer: -0.0459","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5045783 + 5045778.000001. Let l = 5 + t. Round l to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 111930 divided by -1599.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 49 = -31. Suppose 0*o = -8*o + j. Solve -3*w = -k - 3*k, o*k - 2*w = 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**2 + 3*u - 6. Let h be m(4). Let y = h + 24. What is the tens digit of ((-1127)\/y)\/(2 + (-5)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -23 or -1098?\nAnswer: -1098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 8373 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1110000111011 (base 2) in base 13?\nAnswer: 339c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 12 - (-48 + 52)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the first derivative of -k**4\/4 + 2*k**3\/3 + k**2\/2 + 3*k + 1. Let j be a(3). Let x = 35 + -37. What is the third smallest value in -5, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/4, -64, 0, 3 in increasing order.\nAnswer: -64, 0, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 50 = -5*n - 5*s, -35*s = 5*n - 31*s + 39 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4.5 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.163086*137.\nAnswer: -22.342782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j - 1266 - 89. Let h = 2171 - j. Round h to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**3 - 13*f**2 + 42*f - 6. Calculate c(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmhmbjpfpffpfmmmjj. What is prob of sequence bpf?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -15*u + 20*u + 9372, 18731 = 2*j + 3*u. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x + 4. Let t be o(-4). Suppose 0 = q - t - 1. Sort q, -3, 0 in decreasing order.\nAnswer: q, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {k: 3, m: 2, b: 3, d: 5}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 6, -7, -56, -147, -286?\n\"Answer: -q**3 - 12*q**2 + 30*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**18)\/a**(2\/7)*(a**(-2\/7)\/a)**(-41) assuming a is positive.\nAnswer: a**(500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 906*k - 5408. What is d(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100011111001001 - 1?\nAnswer: -100011111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**3 - 8*b**2 - 55*b + 440. Let z be u(10). Calculate the highest common divisor of z and 2160.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24 - 8116*c + 4*c**3 + 8116*c + 30.\nAnswer: 4*c**3 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b + 9. Let y be g(6). Suppose -f = y*f. Let o(s) = -2*s + f + 8*s - 1. What is o(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes before 9:19 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10.9 - 10.4. Let l = 1.2 - 0.2. What is the second smallest value in l, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3357463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 1 m when three letters picked without replacement from {q: 3, m: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Are -15814\/3589 and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000129 rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6252 is divided by 184?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = 91 + -89. What is the third derivative of g**3 + 14*g**4 - 14*g**2 + 13*g + 2*g**j + 8*g**2 + g**2 wrt g?\nAnswer: 336*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1179573 is divided by 1179563?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1687489?\nAnswer: 1687489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 99100 to the nearest one thousand.\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 309, 547, 737, 879, 973?\nAnswer: 1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 45*u - 49. Let c be t(4). Find the third derivative of c*o**3 + 2*o**4 - o**2 - 21*o**5 - 131*o**3 - 21 wrt o.\nAnswer: -1260*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 399848, 399788, 399702, 399596, 399476, 399348, 399218, 399092?\n\"Answer: z**3 - 19*z**2 - 10*z + 399876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50*s**3 + 50*s**3 + 48*s**3 - 152*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 6*v + 2*v + 250 = 0, -v = -3*h + 375. Does 25 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1842 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cwcwcwcwhvwthh. What is prob of sequence cwt?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x - 4 = -10*d + 9*d, d - 13 = -3*d - 0*d + 9*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45*b + 118*b - 73*b - 181*b**3.\nAnswer: -181*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = -24 - -24. Let x(r) = r**3 - 6*r**2 + 2*r + 8. Let b be x(6). Suppose -5*g + n + b = -n, 4*g + 5*n - 16 = 0. Sort c, -2, g, -4 in increasing order.\nAnswer: -4, -2, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 divided by -78?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 1*(5 + ((sqrt(1008) + 1)*-4)**2) + -5)*1.\nAnswer: 384*sqrt(7) + 16140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/((4\/14)\/(432\/(-168)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 220 by -1950.\nAnswer: -22\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 465 is divided by 229?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.02, 4, 3, 0.11, 1\/4, -77.\nAnswer: -77, 0.02, 0.11, 1\/4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/(-4)*8\/8. Which is the closest to 0? (a) -3 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0 (b) 0.239 (c) -1 (d) 8 (e) -191 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(2\/5))**(1\/13))**(3\/25) assuming z is positive.\nAnswer: z**(6\/1625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00137608 to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 79464 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 2 = -7. Solve 4*u + 6 = s*c - 5*c, 0 = -5*c + 4*u - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*r**4 - 6*r**4 + 2*r**2 + 0*r**4 + 3*r**2 wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:49 PM and 12:05 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -92, -47, 44, 205, 460, 833, 1348?\n\"Answer: 4*k**3 - k**2 + 20*k - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 12391344 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 7*a**2. Let s(b) = -7*b. Calculate s(l(f)).\nAnswer: -49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -374, 2, -2\/11, -827?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1729 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 24588, 49163, 73738, 98313?\nAnswer: 122888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-29 - (6 + -1 + 6)) + 4 - -5.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that 3*p**5 - 61215*p**4 - 306162*p**3 + 244860*p**2 + 1224600*p = 0.\nAnswer: -5, -2, 0, 2, 20410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*b + b - 22*b - 12*b + (-3 + 1 + 0)*(7*b - 3*b - 2*b) + 0*b + 0*b + 7*b.\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -9*t - 7. Let h(z) = 122*z + 93. Let l(s) = 30*s + 23. Let o(i) = 2*h(i) - 9*l(i). Let a(r) = 17*b(r) - 6*o(r). Differentiate a(v) with respect to v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4 - (77*-52 - -9).\nAnswer: 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -556347008 by -6.\nAnswer: 278173504\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45 = -19*l + 24*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -35*m**2 - 82*m - 81. Calculate f(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 452213.3l to millilitres.\nAnswer: 452213300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -813594, -1627190, -2440786, -3254382?\n\"Answer: -813596*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the third derivative of l**5\/30 - l**4 - 160*l**3\/3 + 724*l**2 - 1. Let n(w) = 0. What is w?\nAnswer: -8, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 348 - 351 - (2 - (3 - 9 - -20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/(0 - (-2)\/(-6)). Suppose -2*a = -b*a. Calculate the lowest common multiple of 8 and a + -1 - (-13)\/1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 73982041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 168 - 1615*d + 1020*d - 166 to the form n*d + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 9*x**2 - 47*x - 2. Let u = 38 - 32. Let r = 6 + u. Calculate the lowest common multiple of r and j(6).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -834 - -1234. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1008)\/2464*-4*(-33)\/(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 2 r when three letters picked without replacement from {i: 2, r: 2, t: 1, z: 1, y: 1, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00101072763 rounded to seven dps?\nAnswer: 0.0010107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 50022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2067\/(-7) - (-2)\/7. Let u = -2654\/9 - f. Calculate the common denominator of u and 1\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*w**2 - 4770*w + 14355.\nAnswer: -5*(w - 3)*(w + 957)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0 + -2)\/1 - 14. Let k = v - -38. Suppose k = d + 3*r, 2*r - 12 = -d + 6. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.0526 and -21.1.\nAnswer: -1.10986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -2*s**3 + 89*s**2 + 260*s - 1191. Determine x(47).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - t = -86. Let y = 47 - t. Suppose 2*z - y*z = -44. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.343*249.63\nAnswer: -85.62309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -650, -2872, -6586, -11798, -18514?\nAnswer: -26740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/7, -26\/9, -5, 7\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the third derivative of -x**8\/6720 + x**6\/720 + x**4\/24 - 7*x**3\/6 + x**2 + 9. Let v(c) be the second derivative of r(c). What is v(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the third derivative of -x**4\/12 + x**2. Let u(w) = w - 1. Let s(l) = 3 + 6*l - 4*l - 6*l. Let i(z) = -2*s(z) - 6*u(z). What is i(c(t))?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the third derivative of -c**5\/30 + c**4\/18 - c**3\/27 - 13*c**2. Factor i(w).\nAnswer: -2*(3*w - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -44 in 1, 1\/3, -1\/2, -2\/17?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*k - 5*k + 3*k + (3 + 1 - 3)*(-k + 2*k - 2*k) + 0*k - 2*k + 0*k + 0*k - 2*k + 4*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 203 - 198 + 4*b**3 - b**3 - 2*b**2 + 2*b**2. Let i(r) = 3*r**3 + 6. Give 3*i(l) - 4*m(l).\nAnswer: -3*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 539362 is divided by 6498?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36 - (-29 - -34) - 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17 - (-2 - (1 + -3) - (-10 - -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (98 - -2)\/(1*(-8)\/(-4)). Calculate the highest common divisor of i and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*w**3 + 48*w**3 + 19*w**3 + 6*w**3.\nAnswer: 63*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v + 4*b + 16 - 4, -2*v = -b - 13. Suppose -32 = -v*n + 28. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 846, 1141, 1408, 1635, 1810, 1921?\n\"Answer: -2*n**3 - 2*n**2 + 315*n + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 124*-4\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -2*q**3 - 14*q**2 - 2864*q - 17124. Give h(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-40)\/(-110))\/(77\/154)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -266 = 3*i - 3*t - 263, 0 = 5*i + 3*t + 29 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5695622091?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 454010695 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1 * 454353\nAnswer: 454353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the first derivative of a**4\/7 + 4*a**3\/21 + 8. Find k, given that q(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*w + 2*w + 3*v + 12, 5*w + 4*v + 23 = 0. Let p(o) be the third derivative of 1\/2*o**3 + 0*o + 1\/24*o**4 + 0 + o**2. What is p(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -10726 + -70465?\nAnswer: -101413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32*u - 28*u - 13*u.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t**2 + 0*t**2 - 3*t**2. Let y(l) be the second derivative of l**4\/3 + 11*l. Calculate y(o(h)).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (4 + 3 + -5 - 6) + (1 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**2 - p. Let q(g) = -1. Let r(n) = n**3 + 25*n**2 - 27*n - 25. Let v be r(-26). Let c(w) = -w + 5. Let s(o) = v*c(o) + 5*q(o). Give -l(k) - 3*s(k).\nAnswer: -k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/27*1*(-30)\/10.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.21 - 10.11. Round c to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide (-1 + -25)*(-10290)\/140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1312 equal to -2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**5\/7 + 142*z**4\/7.\nAnswer: 2*z**4*(z + 71)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 281*u - 278*u = -f - 17, 0 = -4*u + 2*f - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 106 a factor of 13573495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1 - 2)\/(18\/24) + -3. Which is the closest to -1\/3? (a) 2 (b) w (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13302274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 2 (c) 1\/5 (d) 11 (e) 46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 2*c = -3*c - 44, -4*g - 4*c = -16. What is the remainder when 31 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 50\/(-1)*(-1)\/(-2). Suppose -2*o - 3*g = -8*g + 99, -5*g + 255 = -5*o. Let h = v - o. Calculate the highest common factor of h and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + l**3 + 3)*(-4*l + 2*l + 0*l) - 13*l**2 + 3*l**4 + 13*l**2 + (-l**2 + 5*l**2 - l**2)*(-3*l**2 + 4*l**2 + 3*l**2).\nAnswer: 13*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -6*m + 43. Let p be b(2). Suppose 43*x = p*x + 108. Solve 47 = -x*c + 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3*2*6\/12. Solve a*c = -c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 333*h + 11851758 - 30628962. What are the prime factors of h?\nAnswer: 2, 3, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 120529.7 + -20990.27.\nAnswer: 99539.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 - -428a?\nAnswer: 428e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -40 or 2468567?\nAnswer: 2468567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5 + 134c424?\nAnswer: 134c429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 468 and 1876212.\nAnswer: 1876212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes after 10:04 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**2 + 36*m + 43. Let y be t(-35). Let a(p) = p + 3*p**2 - 6 - 2*p**2 - 8*p. Let v be a(y). Solve 0 = v*l + o - 5, 0 = -l + 5*o - 0 + 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2454, 2709, 3420, 4815, 7122, 10569, 15384?\n\"Answer: 38*i**3 - 11*i + 2427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 2 + -2 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1033, 1036, 1027, 1006, 973?\n\"Answer: -6*k**2 + 21*k + 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-372)\/189 + -3 + (-70)\/(-7) + -5. Which is the nearest to 1\/4? (a) h (b) 9\/4 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/9 in 4, 104, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d = 5*d - 3. Let n be (-3 + d + -135)\/(-3). Suppose 43*i = n*i + 40400000. What is i rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 278326?\nAnswer: 2, 317, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6364088 - 6364088 + 32*x.\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 4, l: 5, r: 1}. What is prob of sequence ll?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 5004.143g?\nAnswer: 5004143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1238*n**2 + 3*n - 3*n.\nAnswer: 1238*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 177592912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 5*n**2 + 8. Let a(r) = 6*r**2 - r + 9. Let u(j) = -4*a(j) + 5*c(j). Let y be u(-2). Suppose y = -5*q + q + 444. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0, 0.076, 0.5, 1824\/7, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1132.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 384390432?\nAnswer: 2, 3, 151, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -3*v - 2. Let y(g) = g. Let o = 34 + -28. Calculate o*y(r) + s(r).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10*s**4 - 6*s**3 + 8*s**2 - 867*s wrt s?\nAnswer: -120*s**2 - 36*s + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (72\/(-1020))\/(2\/(-5) - (24\/(-40))\/3).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 2*y = 256, -5*y + 10*y - 146 = -3*f. What is the greatest common factor of 26 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*o**2 + 2*o**2 - 3*o**2 + o**2 - 6*o + 6*o + (5*o + o - 4*o)*(2*o + 11*o - 5*o).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the third derivative of 16*a**2 + 0*a**3 + 0*a + 0 + 1\/8*a**4. Let c(p) = 2*p + 0*p - 2*p + 4*p. What is c(i(j))?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5195 - 4411 = 1553*f + 2818. Let u = -4.93 - -5. Which is the third biggest value? (a) f (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**2. Let q(h) be the second derivative of h**5\/30 + 3*h**2 + 6*h. Let p(i) be the first derivative of q(i). What is z(p(c))?\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -846*0.5.\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) 0 (b) 1 (c) -2\/11 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 281747551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -10.3321407 + -3749.86?\nAnswer: -3760.1921407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 18 + -13. Suppose 4*s - 3*s - 34 = -i*m, m - 5*s = -14. Solve m + 10 = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1695, -24, -5, -2, -225 in increasing order.\nAnswer: -225, -24, -5, -2, 1695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 + -50?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1 + 116a58?\nAnswer: 116a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 78930230 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -20*r**2 + 7*r**2 - 85*r + 13*r**2 + 70*r**3 - 1 wrt r.\nAnswer: 420*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -2*m**2. Let v(q) = q**2 + 31*q. Calculate y(v(r)).\nAnswer: -2*r**4 - 124*r**3 - 1922*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/15*(-580)\/(-232).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hvjwggwbb. Give prob of picking 1 b, 1 h, and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -1814 + 5441 - 1814 - 1813 - 23716*x as b*x + s and give b.\nAnswer: -23716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 19 - 18.6. Let u = 9.2 + -4.2. Let n = 1.9 - 2. Which is the biggest value? (a) n (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*u**2 + 3*u**2 - 3*u**2)*(-2*u**3 + 3*u**2 - 3*u**2).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 4*r**2 + 141*r + 136. Determine k(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(1\/3))**(-7\/13)\/((c**0*c)\/c**(1\/7))*c**(-4)*c**(-7)*c**(1\/2)*c**(-3\/7)*c*c assuming c is positive.\nAnswer: c**(-5735\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1 + 4)*(-102 - -103). Solve 0 = q - 4*k - 1, j*q - 29 = -3*k - k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 2 + 0 = v, v - 2 = -4*z. Find the second derivative of a - 6 - 251*a**3 + v - 259*a**3 + 508*a**3 - 22*a**5 wrt a.\nAnswer: -440*a**3 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the third derivative of 0*y - 1\/30*y**4 - 1\/15*y**3 - 1\/150*y**5 + 0 - y**2. Factor c(x).\nAnswer: -2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -10.33566, 0.5, -1\/11 in decreasing order.\nAnswer: 0.5, -1\/11, -10.33566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-147)\/(-9) - (2 + (-5)\/3). Suppose -k + 52 = 3*v. Is (776\/v)\/((-3)\/(-126)*4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 175*g - 38. Let c(v) = 258*v - 53. Let m(x) = 5*c(x) - 7*q(x). Let u(j) = -7*j**2. Give m(u(b)).\nAnswer: -455*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m = -6*a + 10*a - 11, 2*m = a - 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -2*h**2 + 3*h**2 + h**2 + ((0 - 1 - 1)*(2 - 1 + 2) - 5 + 5 + 1)*(-2 - 1 + 1)*(-2*h + 2*h + 15*h**2) as c*h**2 + x + o*h and give c.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y be (15 - 22) + (-300)\/(-84) + 3\/7. Sort -492, y, 3\/7, 2 in descending order.\nAnswer: 2, 3\/7, y, -492","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r + 4. Let w be y(6). Let z = 0 + w. Suppose -2*m + 7*m = 140. Calculate the remainder when m is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3 + 16. Let l(d) = -3*d**3 + 7*d**2 + 45*d + 6. Let r be l(-4). Calculate the greatest common factor of r and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 61 - 51. Let a be (-18)\/((-6)\/t*20\/16). Let u = 2 - -1. What is the highest common divisor of u and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 5 + -2 - 0\/2. What is the first derivative of 4 + 3 - 2 - 5*u**r + 4*u**3 wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) 7.7 (c) 130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 2*u**2 + 13*u - 34. Let i be d(3). What is the derivative of 21 + 8*y - 6*y**2 + i + 7 - 10 wrt y?\nAnswer: -12*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3648347 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7*32\/(-1120)*(-7)\/(-56)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -19583576142 - 25739?\nAnswer: -19583601881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tty when three letters picked without replacement from {y: 1, t: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17, -13, -9, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -124774 divided by 12.\nAnswer: -62387\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -1202101022 (base 3) to base 16\nAnswer: -86ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*a**2 + a**2 + a**2)*(-a**3 + 0 + 0) + 2*a**5 - a**2 + a**2 - 380*a**5 - 16 + 5 + 11.\nAnswer: -377*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 326762131?\nAnswer: 1249, 261619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 1093, 2189, 3289, 4393, 5501, 6613, 7729?\n\"Answer: 2*d**2 + 1090*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 39*v + 856 = 43*v, 0 = 2*i + 3*v - 429. Solve -13*j + 317 - i = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -13 - -10. Let w be 1 + (-42)\/2 + o. Let k = 27 + w. Solve -5*a = -b + k, -2*b + a = -a - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 31201103 + 0?\nAnswer: 31201103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 51\/228623 and -10\/212257?\nAnswer: 290579833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gjy when three letters picked without replacement from {b: 1, j: 1, y: 1, g: 1, n: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10 - 13. Let p = 3.8 + d. Let m = p - -1.2. Is m != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3361, 4698, 6861, 9796, 13449, 17766, 22693?\nAnswer: 28176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 85\/(-918)*9*(-168)\/280*(-35)\/(-3)?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 4 + 0)*(19*x - 48 - 39*x + 19*x).\nAnswer: 2*x + 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -7 + 5 + -24 + (-5 - (-15 - (-13 + 7)))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = 5*h + g, -4*h + 21 + 7 = -g. Suppose -h*n + 99 = -5*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 702 and 1482.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 384 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -3 (b) -2\/9 (c) -353\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = -155*k + 152*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (25 - (-3 + 15)) + -2 + 7\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.11 in 0, 3.7, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0112559 to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m - 4*b + 45, -m - 51 = 2*b - 70. Calculate the least common multiple of m and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7736239200 rounded to the nearest 1000000?\nAnswer: -7736000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/132625 and 19\/3183000?\nAnswer: 3183000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-2816)\/(-2464))\/((-4)\/(-3031))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-10500)\/(-1650) - (-20)\/(-55))*((-1)\/(-68) - 0).\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 - 1)\/(4\/108). Let s(d) = -d**3 + 7*d**2 - 13*d + 14. Let a be s(6). Are k and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23 + 168 = -74*t - 3*l + 4*l - 110, -3*t + 2 = 3*l - 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 5982486 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.07 - 1. Let m = 86 + -85.7. Put 5\/3, -1, m, b in descending order.\nAnswer: 5\/3, m, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -3*m + 8. Let w = 11 - 15. Suppose 5*c + 1855 = 5*d, 0 = 15*c - 10*c - 2*d + 1864. Let z = c - -371. Let f(k) = 2*k - 7. Give w*f(a) + z*o(a).\nAnswer: a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 31926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -21213 (base 4) to base 11.\nAnswer: -50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11072*c - 22134*c + 11062*c + 5*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 62736 and 23526?\nAnswer: 188208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 2*j. Let b = 5 + -1. Let h(c) = 2*c - b*c - 2*c + 2*c. Determine h(l(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/12 and 45\/455338.\nAnswer: 2732028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 1 (b) 4 (c) -7\/13 (d) 586 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -427*u + 12. Let c(l) = 153 + 153 - 310 + 142*l. Let z(w) = 8*c(w) + 3*t(w). Is z(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -49 (base 16) to base 13\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 + -2 + 0\/(-1). Let f = -6 - 2. Let u = t - f. Solve -u*c + c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 1050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 14*v**3 + 24*v**2 - 6*v**3 - 30*v**2 wrt v.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 193975723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 2930294 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n + 22 = -2*m, 4*n + 0*n - 7 = -m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 3*y)*((-11*y + 20*y - 11*y)*(-6 + 2 + 0) + y - y - 10*y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 482 a factor of 15022976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**4\/5 - 6*w**3\/5 - 26*w**2\/5 + 6*w.\nAnswer: 2*w*(w - 5)*(w - 1)*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 583 minutes after 2:16 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(1\/3))**(9\/4)*r\/(r\/(r*r*r*r*r**(-1\/5)))*r\/r**(4\/9) assuming r is positive.\nAnswer: r**(919\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nmn when three letters picked without replacement from {m: 2, z: 1, a: 6, n: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 87 = -t - 2*t, 5*t = -3*f + 145. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*m**3 + 29*m**3 - 45*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/735 and -52\/39249?\nAnswer: 196245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 175 a factor of 125920260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -0.005537 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12*u - 8*u + 22*u + (-2 + 0 - 1)*(39*u - 16*u + 24*u) to c*u + h and give c.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o + 4*c + 8, -2*o = -6*o + 4*c + 32. Let i = 11 - o. Is 161 - (-2 + i)*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 565*v + 2334 - 6822 = -16836 - 11947 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**2\/3 - 46*i\/3 + 47\/3.\nAnswer: -(i - 1)*(i + 47)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(4\/7)*n)\/n)**(-46)*n*n**10*n**(-13)\/n assuming n is positive.\nAnswer: n**(-527\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 125*w**2 + 157195*w + 87990.\nAnswer: 5*(w + 1257)*(25*w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3161295 is divided by 1010.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/4*-1 - -3. Let z be (-32)\/(-180) - c\/10. Put 1\/6, z, 0.2 in ascending order.\nAnswer: z, 1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 1 k when three letters picked without replacement from igixpipggilxkxi?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-4)\/(-2) - (-904 + 5). Let a be g - (-2)\/10*-5. Round a to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 19, 0.246, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by -10417999\nAnswer: -2\/10417999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 5, q: 6, p: 4, o: 4}. What is prob of picking 1 q and 2 o?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 3*b**3 - 3*b**2 - 2*b + 2. Let g be k(2). Let d(s) = 0 + g*s**2 + 0 - 9*s**2. Let c(o) = -4*o**2 + 4*o**2 + 11*o**2. Give d(c(w)).\nAnswer: 121*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 30*l**2 + 459*l - 1394. Calculate b(3).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 262792?\nAnswer: 2, 107, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 20 = -3*j, 1 = j + 2*k - 7. Suppose -h + j = -3. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -706 + 1589. Let k = n + -572. Let h = k + -184. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1, -8, -17, -28, -41?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 206 = 4*y - h - 340, 3*y + 4*h = 400. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + 5*164\/100.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4370 and 79097?\nAnswer: 790970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the third derivative of 19*t**8\/56 + t**5\/30 + 97*t**4\/24 + 2*t**2 - 7*t. What is the second derivative of f(w) wrt w?\nAnswer: 2280*w**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-10))\/(12*(-6)\/45).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*n**2 - 3*n**2 + 3*n**2)*(n - 2*n**2 - n) + 3*n + n**4 - 3*n in the form l*n**4 + g*n**3 + u*n**2 + t + m*n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -704 divided by 4353\nAnswer: -704\/4353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 2*p**2 + 3*p. Suppose 2*n = -2*k - 8, 22 = -5*n + 2. Suppose -2*g - 12 = -k*g. Let y be x(g). What is the highest common factor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -s**5 + 2*s**3 - 2*s**3 + (-2 + 4 - 3)*(49 + 6*s**5 - 49).\nAnswer: -7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes after 5:57 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2 - (-1 - 2\/(-2)). Suppose -2*l + 3*i - a*i = -10, -l = -i - 7. Solve 2*d + l*d = 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-three quarters of a kilogram in grams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-61 - -1)*186\/(-744). Sort 0, w, -99.\nAnswer: -99, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = 4*u - 4817 + 939, -4*u + g = -3870. What is the greatest common divisor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9\/403 in 6, -5\/3, 0.17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 727403474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 195 divide 33930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 2464 by -1171.\nAnswer: -2464\/1171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -884*j - 16. Let z(q) = -276*q - 5. Let t(u) = -5*l(u) + 16*z(u). Let r(g) = -184*g. Determine r(t(m)).\nAnswer: -736*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 2547*b + 16060. What is x(-6)?\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -3*m**4\/4 - 27*m**3\/4 - 3*m**2\/2 + 36*m = 0.\nAnswer: -8, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -243 (b) -5 (c) -133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be 5\/(-75) - 2\/(-3). Which is the nearest to -0.1? (a) 2 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4130472 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 781 divide 793327953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = 4*k - 42. Suppose 0 = -2*q + 5*b + 59, -k*q - b + 117 = b. What is the remainder when 71 is divided by q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*w - 275 - 50. What is the remainder when w is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1ad4 (base 16) to base 11.\nAnswer: -5184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 328\/(-492)*2\/((-8)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 45, 47, 39, 21?\n\"Answer: -5*w**2 + 17*w + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**3 - 11*o**2 - 8*o - 1. What are the prime factors of w(12)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 175 minutes before 3:57 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 799348 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39899 is divided by 300.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.6 - -3.4. Which is the biggest value? (a) i (b) 5\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6*16\/3 - 4\/(-2). Suppose c*i = 443 + 271. Solve i*y + 4 = 20*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 150 - 158 - (-2 + 6 + 15)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times -0.509\nAnswer: 0.1527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.309 + -0.309. Suppose 16 = -3*d + 31. Let s be (-4)\/d*(-1 + 6). What is the biggest value in k, -0.3, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 229\/3990 and -127\/66?\nAnswer: 43890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 3*(-2*sqrt(19) + 5 + (sqrt(19) - (-1 + -1 + sqrt(19)))))**2.\nAnswer: -288*sqrt(19) + 1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 128107 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16 - 12 - 4 - 54*j.\nAnswer: -54*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 811.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -45 + 80 + -47 - (-2 - -8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 + 6. Suppose -3*g + m = -7. Suppose -g*f + 5*f = 36. Calculate the least common multiple of 16 and f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20 = 2*t - 4*c, -3*t - 2137 + 2183 = -14*c for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((sqrt(70) - 2*sqrt(70) - sqrt(70) - sqrt(70)) + sqrt(70))*2 + sqrt(70))\/(-2*sqrt(2)*3))\/(2*sqrt(720)*5 - (-1*sqrt(720)*-2 - sqrt(720))))**2 + 1.\nAnswer: 46663\/46656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dhh when three letters picked without replacement from hqphhphppqpdqphpqq?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) 21.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 95 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14 - 32) + (13 - (9 - -5) - 8) + 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5718054 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 10 - 8 + 7 + 2*d + 9 in the form o*d + f and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16796 is divided by 10147.\nAnswer: 6649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 0, 5, 13, -5, -471 in ascending order.\nAnswer: -471, -5, 0, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/103580 and 63\/40.\nAnswer: 207160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 9 = -2*k, -5*k = -5*f + 240. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 + (-4 - -3))\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2.5 - 1.7. Let j = -4 - h. Let l be (1 - 0)*(-5)\/35. Which is the nearest to -1? (a) j (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 - (12 + -8 - (1 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4738.6 - -4739. Let t = 47 + -143\/3. Sort v, -2\/7, -7, t in ascending order.\nAnswer: -7, t, -2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes before 4:06 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 54164 - 270802\/5. Suppose 26\/5*k - 26\/5*k**3 - n*k**2 - 4\/5 + 22\/5*k**4 = 0. Calculate k.\nAnswer: -1, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2 + 2)*(46*f - 99*f + 43*f) - 11 + 0*f - 2*f + 4*f.\nAnswer: 12*f - 11","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: What is 0.1 times 27815538?\nAnswer: 2781553.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v**2 + 28*v + 81. What is s(-25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*d + 753*d**2 + 1 + 34*d - 690*d**2.\nAnswer: 63*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10101000010100 - -111010?\nAnswer: -10100111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -0.05 - 894566466969\nAnswer: -894566466969.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(80) + 1)**2 - -4*sqrt(5)*-1.\nAnswer: 4*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j**3 + 10*j**2 - 5*j - 12. Let x be a(9). Let g = x - 24. Solve 2*f + 2*f = g, -4*s - 16 = -4*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/y**6)\/(y\/(y*y\/y**9)))\/(y**10*y\/(y**6\/y)*y) assuming y is positive.\nAnswer: y**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*x - 2*j + j - 19, 0 = -x + 2*j + 3. Suppose -919*b + 886*b = 99. Put x, 4, 3, b in increasing order.\nAnswer: x, b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -68083, -59303, -50523, -41743?\n\"Answer: 8780*b - 76863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -6 (b) -0.0444172 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -202200 (base 3) to base 8.\nAnswer: -1056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = c + 4. Let i(l) = -31 - 201*l**3 + 99*l**3 + 5*l + 10*l**2 + 103*l**3. Let n be i(-9). Let t(b) = 3*b + 9. Give n*w(y) - 2*t(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 5*s**2 - 54*s - 64. Let m be q(16). Suppose j - 17400 = -2*j. Suppose m = 8*c - j. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x\/(x**5\/x*x*x)*x)**(-21)*((x*x**(-8\/3)*x)\/x)\/(x*x\/(((x\/(x*x**(-13)))\/x*x)\/x)))**(-2\/23) assuming x is positive.\nAnswer: x**(-428\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -10 + 25 + 11*r**2 - r**2 wrt r?\nAnswer: 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 187 and 440?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 0*l = -4*k + 93, -2*l + k = -73. List the prime factors of 1970\/l + 2\/(-7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k - 3 - 1. What is the remainder when 43 is divided by ((-2)\/k)\/(1\/15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 216100235 or 216100236?\nAnswer: 216100236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 37, -51.2, -14?\nAnswer: -51.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 2*s**2. Let h be (3\/4)\/(2*27\/6). Let z(b) be the second derivative of 0 - h*b**4 + 0*b**2 + 3*b + 0*b**3. Give p(z(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 24*b - 268. Determine k(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-21 + 4 + 36)*(r + 0*r - 3*r) as j + k*r and give k.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0\/(-5 - (0 - 3)). Let v(g) = 2*g**3 - g**2 - g + 3. Let x be v(r). Factor h**3 + 3*h + 3*h**3 - 5*h**x - 2*h**3.\nAnswer: -3*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 3*t = 22, 2*z + 4 = 3*t - t. Suppose -4*o = -z*o + 24. Let j be 7\/o + 3\/12. Which is the smallest value? (a) 2\/3 (b) j (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*a + 6*a + 123 - 123.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -3399.31304 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 + i**3 - 2 + (3*i - 2*i + i)*(4*i**2 - 3*i**2 - 3*i**2) + 3*i**3 - 3*i**3 + 2*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**2 - 2*u + 3. Let l be y(2). Let o be ((-45)\/(-6))\/l + -1. Which is bigger: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10380*4.\nAnswer: 41520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Are -0.2 and -351 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49*g = 60*g - 55. Sort -3, 6, g, -4.\nAnswer: -4, -3, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6 - -2) + -20 - (3 - 3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4422364 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 202747 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 121 minutes before 10:02 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -878.00000004 + 878. Round t to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 614 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -100 - -95 - (-1 + 1 - 12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 539763.\nAnswer: 3, 7, 25703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 499 divide 22686572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be (7 - 4)\/((-1)\/(-3)). Let r = -5 + g. Let c(k) = 3*k + 2. Is 14 a factor of c(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -2*d - 33. Let v(l) = -3*l - 65. Let i(g) = 5*c(g) - 3*v(g). Let q(b) = b**2. Calculate i(q(k)).\nAnswer: -k**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/54 and (1\/(-9))\/(13*(-6)\/(-4485)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 597972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30\/(20\/(-4)) - 10\/((-50)\/3055)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16962 = 130*d - 15402 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 234 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -501 + 505 = -2*p, -3*q + 8*q - 22 = 6*p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/25, -5, 2, 3788, -1 in increasing order.\nAnswer: -5, -1, -4\/25, 2, 3788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 5*q + 2*r - 16, 3*q = -r + 8. Suppose -10*u = -5*u. Solve 0 = -q*x - u*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 51 - 9 = t + 7*z, -3*t + 22 = 132*z - 137*z for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2420688.\nAnswer: 2, 3, 29, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 923406997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 850, 845, 844, 853, 878, 925, 1000, 1109?\nAnswer: 1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*m + 2*p + 2, -12*p = 2*m - 13*p + 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 89347759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 922889?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.15 + 0.05. Sort a, -2, -1.\nAnswer: -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 542.41139*-10\nAnswer: -5424.1139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9950*p**2 + 9909*p**2 + 0*p + 0*p + 0*p.\nAnswer: -41*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 12 in -0.4, -2\/9, -8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (74 - 37 - 19)*(-3*w**2 + w**2 + w**2).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 184, 171, 144, 97, 24, -81?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 6108.9 * 0.3\nAnswer: 1832.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 356, 714, 1072?\nAnswer: 1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 44 or 40?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 75000 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3686855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 81282 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-11270)\/115*((-2)\/28)\/(36\/216).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 21808, 21807, 21804, 21799, 21792, 21783?\n\"Answer: -n**2 + 2*n + 21807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 122631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -32841.381 to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 4*l - 6 = 0, -4*i - 4*l + 4 = -0*i. Suppose 9*v - 13*v = 0. Put i, 8, -4, v in increasing order.\nAnswer: -4, v, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = 5*u + 5 + 30, -4*d = -5*u - 33. Suppose -6 = -d*m - 34. Let n be -8 - -6 - 24\/m. Which is the third smallest value? (a) 0.2 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-9 - 65) + 3\/(-1). Let o = 77 + j. Suppose o = t + 6*t - 434. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -221 - -232 - (0 + (0 - 0)) - 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -88\/326273 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*h + 3*h - 10*h - 2*h.\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 796 is divided by 136.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4, -3\/2, 60, -2, 261?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -6*d**3 - d**3 + 4 - 8*d**3 + 1 in the form j*d**3 + a + k*d + h*d**2 and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6505723*p**4*s**2 - p**3*s**2 - p**2*s**2 + 294797*p**2 + s**2 + s - 2 wrt p.\nAnswer: -156137352*p*s**2 - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1547)\/169 - 3 - -12?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -1445*m + 117. Is u(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -11844, -27856, -43858, -59844, -75808?\n\"Answer: t**3 - t**2 - 16016*t + 4172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be (25\/10)\/(((-6)\/(-4))\/3). Do 5 and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 60 - 67 - (-2 - (-5 + -33))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nm when two letters picked without replacement from {m: 2, s: 2, u: 1, a: 6, v: 1, n: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/2 - 2\/4. Let s be 6\/21 + 3\/(-84). Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -21 - -46502324?\nAnswer: 46502303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1264200 and 1032.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 1 = 4. Suppose 2*z + 3*r = 2*r + 1, -4*z = 5*r + 1. What is the highest common divisor of b and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7404 and 128340936.\nAnswer: 7404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -3*i**3 - 2*i**2 + 2*i - 1. Determine w(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 43014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*d + 71 + 70. Let w = 52 + d. What is the second derivative of 14*n**5 + 7*n**5 + 2*n**w - n - 7*n**5 wrt n?\nAnswer: 320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 303394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the second derivative of g**2\/2 + 4028*g. Let t(n) = -2*n - 8. Determine -5*k(r) - t(r).\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 7\/5 and -65\/552.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (k + k - 4*k)*(-4 + 1 + 1) + k - 4*k + k + 4 + k - 4 + (k - 2*k + 4*k)*(-7 + 3 + 3) - 3 + 3 + 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -72 divided by 405?\nAnswer: -8\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(6776) - sqrt(6776))\/(sqrt(8) - 3*sqrt(128)) + ((sqrt(567) + 2)*-6 + -3)**2 + -5.\nAnswer: 1624*sqrt(7) + 20632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*z + 10*z + 19*z + (-3 - 3 + 4)*(-1 + z + 1) + (-5 + 3 + 0)*(z + 2*z + z) to the form k*z + g and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + p + 77 = 0, -p = 3*o - 7*o - 67. Let y = o + 40. Suppose 6*d + 5*g - y = 4*d, 0 = -3*d - 2*g + 47. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + -2 + (-3 - -6) + -17?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 13133565*b**3*y**3 + 5*b**3*y**2 - b**3 + 593592*b**2*y**2 - 3*b**2 + 3*b*y**3 - b*y wrt b?\nAnswer: 78801390*y**3 + 30*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3\/(-2))\/((-6)\/8). Let u(i) = -51 + 51 - q*i. Let c(j) = 12*j + 11. Let y(g) = g + 1. Let v(s) = 4*c(s) - 44*y(s). What is u(v(z))?\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/2797 (b) 8 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3302 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6, 9, 4, -15, -54?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 401 minutes before 4:57 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - b - 3*b + 468 = 0, -5*b + 231 = 2*r. Let g(i) = -63*i + i**2 + 1 + r*i - 54*i. Let o(p) = -5*p**2 - 7*p - 7. Give 21*g(j) + 3*o(j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3981 + -2702. What are the prime factors of s?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -143a6 - 5?\nAnswer: -143ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 266175871*k**5 - 1937242*k**2 + 31*k wrt k?\nAnswer: 15970552260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find l such that -l**4\/6 - 19*l**3\/6 - 19*l**2\/6 + 85*l\/2 = 0.\nAnswer: -17, -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dch when three letters picked without replacement from hdwccsccchddudch?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 22389644?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwwwwrrrwwwwwwwrwww. What is prob of picking 2 r?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((1*sqrt(125))\/sqrt(5))\/sqrt(5).\nAnswer: -3 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 12510425263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/(-12)*1*-4. Let c(f) = -f**3 - f**2 - 2*f - 2. What is c(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -5, 11, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 111982 is divided by 55472?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 871576 (base 9) in base 11?\nAnswer: 325363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1850856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 380 and 3876?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -16*g. Let m(j) = 783*j. Calculate 2*m(a) + 99*r(a).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(343) + -4*sqrt(343)*-2 + -4) - -6*(4*sqrt(343)*-2 + sqrt(343) + -4 + ((sqrt(343) + -1)**2 - sqrt(343))).\nAnswer: -546*sqrt(7) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 895123?\nAnswer: 131, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1794 + -1116. Let r = 677.9 - l. Which is the closest to r? (a) 2\/19 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.453305503 - 0.4533. Round v to 7 decimal places.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/1593, 4, -2, 1\/3 in increasing order.\nAnswer: -2, 2\/1593, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k**2 + k - 1. Let d(g) = -6*g**2 + 7*g - 7. Let x(r) = -2*d(r) + 14*j(r). Let y(w) be the third derivative of -13*w**5\/60 + w**2. Give x(y(h)).\nAnswer: -338*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 345258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 3\/(-153)*16*(-45)\/(-120)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -14 (base 5) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1252 is divided by 599?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*m + 11 + 5. Let b(c) = -3*c + 3. Let h(l) = -2*l + 3. Let n(y) = 3*b(y) - 4*h(y). Let r be n(-6). Solve m*d - 11 = -r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4677247 is divided by 1765?\nAnswer: 1762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 139976.\nAnswer: 2, 17497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 32 and 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3)\/5*((-460)\/24)\/23. Let q = -0.18 - -0.2. Let p = 3.97 + 0.03. Sort w, p, q in decreasing order.\nAnswer: p, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1308 in 3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -69*h + 70*h + 3. What is the nearest to h in 0.2, -0.3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 3*u = 19, 5*u - 20 = i - 7. What is the second derivative of -61*a + 33*a - 5*a - i*a**3 wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zocznggn. What is prob of sequence con?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**1*l)**(2\/71)\/(l*l**(-1\/2)*l)**(1\/18) assuming l is positive.\nAnswer: l**(-23\/852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1155169 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*n*y - 22645*n - 20194*y**2 wrt y.\nAnswer: -2*n - 40388*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -6*s + 2*s + 22*s in the form w + l*s and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from {q: 9, y: 7, w: 3}.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-47 - -48) + (-1 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.3 or 43\/6?\nAnswer: 43\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**3 + 3*q**2 + 6*q + 4. Let p(w) = -w**3 - w**2 + w + 1. Let m(c) = -p(c) + r(c). Determine m(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 1015533220 (base 6) to base 10\nAnswer: 10634412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -8510 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 155471662*u**3 - 49137165*u.\nAnswer: 932829972*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 4*d**2 - 2*d - 2. Give t(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5375926 + 8?\nAnswer: -5375918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -178 + 178 - 3*g. Let k(w) = 4*w. Determine k(r(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify v*v**(-3\/4)*v*v\/(v\/(v\/v**(-8)))*((v\/(v*v*v\/((v**(-3\/5)\/v)\/v)))\/v)**(35\/4) assuming v is positive.\nAnswer: v**(-155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be 24 + (-4267)\/187 - (-1 + 2 - 0). Put -12, s, 1, -5, 12 in increasing order.\nAnswer: -12, -5, s, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -8a70 + -27308?\nAnswer: -35278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 66441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that 3*z**2 + 691557*z - 55343760 = 0.\nAnswer: -230599, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 9, 2, -6, -402, 50 in increasing order.\nAnswer: -402, -6, 2, 9, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/135707 and -127\/1846494.\nAnswer: 1482734682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -5.3 at most as big as -16686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -533*c - 487847 + 487847 in the form u*c + g and give u.\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -16558 divided by 6?\nAnswer: -8279\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -9*l**2\/5 - 54933*l\/5 + 14652.\nAnswer: -3*(l + 6105)*(3*l - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*j - 5*l + 119, 6*j + l - 55 = 4*j. Suppose 9 = -j*x + 29*x. Find the second derivative of 3*w**2 + x*w**2 + 13*w - 8*w**5 - 6*w**2 wrt w.\nAnswer: -160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/12145 and -31\/24290.\nAnswer: 24290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-8)\/16)\/((-2)\/4). Let t(x) = g + 13*x - 9*x - 10*x. Calculate t(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1735 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7*f*w**3 + 835*f*w - 5*f - 13273*w**3 + 5*w**2 wrt w.\nAnswer: 42*f - 79638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 14, 3, -5, -16, 66 in decreasing order.\nAnswer: 66, 14, 3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is (-8961)\/(-24) + 9\/(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-24)\/(-156) - (-5133)\/13. What is the highest common divisor of 20 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = -4*l + 8*c + 252, 4*l - 288 = -5*c. Let s = l - 47. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2 + -11*(-1)\/1. Let l = i - 8. Suppose -20 = -5*q - 5*o, -l*q = -10*q + 3*o + 28. Sort q, 0, -5 in decreasing order.\nAnswer: q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 730\/(3 + -1)*1. Let c = s - 160. List the prime factors of c.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 195251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -29, -1 in increasing order.\nAnswer: -29, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2646411 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pvophpohhhtho. Give prob of sequence hh.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 9*z**2 - 146*z - 88. Determine b(17).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add 4287 and -3966335267.\nAnswer: -3966330980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 644, 2562, 5756, 10220, 15948, 22934, 31172?\n\"Answer: -d**3 + 644*d**2 - 7*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 417604*h + 10440084. Calculate c(-25).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t + 6. Let l be o(-7). Let v(z) = -3 + 2*z**2 + 3 + 2*z + 1. Calculate v(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -0*s + 2*s. Let j be (-4)\/((-12)\/9) + -1. Suppose 0 = -3*f - j*o + 16, 4*f = -4*o + 9 + 19. Is f at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 2*i**2 - 14*i - 12. Let k be z(8). Suppose 0 = 3*m + f - k*f - 489, 0 = -5*m + f + 803. Calculate the highest common factor of m and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.28038 + -0.28. What is q rounded to five decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*((f\/(f*f\/(f*f**(-1\/8)))*f*f)\/f)\/f*f)**(-5\/11)\/((f**33\/f)\/(f\/(f*(((f**(-1\/12)*f)\/f)\/f)\/f*f)*f*f)) assuming f is positive.\nAnswer: f**(-7859\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 410 and 107095.\nAnswer: 8781790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2158899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**2 - 2*v + 4. Let u(n) = 2*n**2 + 6. Let g be 7*1*4\/(-14). Let x(d) = g*u(d) + 3*y(d). Determine x(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 3658 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m be 66\/(-18) + 4\/6. What is the common denominator of -31\/8 and (-5)\/50*m\/(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -241.00091 + 241. Round x to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 8, p: 3}. Give prob of sequence upup.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(156) + -3*sqrt(156))\/sqrt(12)*4.\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -8 - ((376 - 133) + -142)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u = 2*u - 100. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-31)\/8 + (-87)\/(-232))\/(((-812)\/28)\/(-174)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 50 = 3*c, 5*c + 8 = 2*l - 30. Suppose -5*k - 4 = -l. What is the units digit of (k + -4)\/((-4)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 743160 and 1848?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*d + 6*d - 2 - 9*d - 5*d to the form m + p*d and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w - w + 4*w)*(-1 + 1 - 1) - 7491*w + 10741*w - 6784*w.\nAnswer: -3535*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 c, and 1 m when three letters picked without replacement from cxcmxcc?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 195*o**3 + 72014*o - 72014*o - 243*o**3.\nAnswer: -48*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**6*x**(-3)*(x\/(x\/x**1))**27 assuming x is positive.\nAnswer: x**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be 9*((-16)\/(-3) + -6). What is the hundreds digit of (-596)\/(-3) + 7\/(63\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 801830 (base 9) in base 5?\nAnswer: 110130141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6*((-2)\/8)\/(78\/8))\/(-1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 96673218 to the power of 1\/2, to the nearest integer?\nAnswer: 9832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 1 z, and 1 c when three letters picked without replacement from czvyczvzcvmcyczcz?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -l - 4. Let a be s(0). What is the units digit of a\/(-2)*(-42)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45344?\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 c, and 2 n when four letters picked without replacement from {c: 1, m: 2, n: 9, k: 8}?\nAnswer: 96\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/14)\/(612\/(-1071))*45\/27?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 122222110 + -12?\nAnswer: 122222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -5\/3 (b) 2\/495 (c) 0.04 (d) -1\/212 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the first derivative of x**4\/2 + 5*x**2\/2 - 6*x - 8. Let l(m) be the first derivative of q(m). What is the derivative of l(b) wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27178993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bmttsmymmmmmmsymb. Give prob of sequence st.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = 12 + -4. Suppose 0 + 0 = -14*b. Suppose b = -x*a + 23 + 73. Solve 2*q + a = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 125329886?\nAnswer: 2, 11, 5696813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 301939 to the power of 1\/2, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 5*j**2 + 3*j - 1. Let g be u(-2). What is the highest common factor of 26 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 438 + -1707\/4. Let k = -11 + g. Factor -k*n**2 - 1\/4 + 1\/2*n.\nAnswer: -(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**3\/4 - 176245*y**2\/4 + 352502*y - 705012.\nAnswer: -(y - 4)**2*(y + 176253)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 34979404?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.012 and -262767?\nAnswer: 3153.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/((-9)\/(-6))*-3. Let m be 2 - 1 - (0 - g). Find the common denominator of -115\/6 and m - 5 - (-101)\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 47714461?\nAnswer: 17, 617, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, -4, -14 in increasing order.\nAnswer: -14, -4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mkc when three letters picked without replacement from {c: 2, m: 4, k: 1, v: 2, j: 2, e: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -191 + 9*x**2 - 2*x + 191 in the form t + i*x**2 + q*x and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 + 5)*((-8 - 4 - 3)*(-5*a + 3*a + 0*a) - a - a + 0*a)*(-3 + 3 + 2).\nAnswer: 168*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*v - 8 = 4*v. Let b = 7 - 3. Suppose b*l - 12 = 4. Solve m = v*i + l, -3*m + 10 = -4*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 407845343.\nAnswer: 407845343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -8*r**2 + 7 - 3*r**3 + r - 5*r + 2*r**2 + 2*r**3. What is n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.4? (a) 5 (b) 3\/2 (c) 0.5 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-9)*-3)\/((1\/3)\/((-734)\/(-58353)))\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -4, -1, -7, -43 in ascending order.\nAnswer: -43, -7, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -11639*v**2. Let z(w) = -2*w. Determine z(s(k)).\nAnswer: 23278*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 9 = 4*r. What is the lowest common multiple of r and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 472 + -189. Which is bigger: h or 281?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(567) + 2)*-1 + -3 - (-2 + (sqrt(1008) - 6*(sqrt(1008) + 1))))**2.\nAnswer: 306*sqrt(7) + 18216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:34 PM and 12:04 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:49 PM and 7:08 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 8457*v - 8455*v = -11*w + 1, 4*v + 15 = -5*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -31, -68, -103, -136, -167, -196?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1173525.6 milliseconds?\nAnswer: 19.55876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0 - (2 - (-18)\/(-6)))*99\/9. Solve l - 5*g = y, 0 = -3*g + 51 - 54 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 30 * 19.\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -85 - 45 = -30*a + 500 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + q - 4*q - 24 = 0, 4*q = -20. Factor 8 - 3*o + 4*o + 7*o - 7*o**g + 14*o - 23*o**2.\nAnswer: -(o - 1)*(o + 4)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 4*g**2 - 33*g + 19. Let t(r) = 2*r**2 - 17*r + 10. Let a(l) = -6*o(l) + 11*t(l). Let q be a(7). Let z = 22 + q. Which is smaller: z or 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 48002812 and 2860.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-168)\/66)\/7)\/((-44)\/66).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 - 356 = 20*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/5*(11 + -6). Let n(s) = -s**3 - 10*s**2 - s - 8. Let c be n(-10). Suppose v*u = -c*u. Solve u*i = i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*x + 2*x + 5*x + (4 + 0 - 2)*(-3*x + 3*x - x) + 6*x + 0*x - 3*x - 29.\nAnswer: 4*x - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 127 a factor of 2869471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 10676182789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 163403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 38 minutes before 1:17 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -l + 268 + 219, -i - 3*l = -256. Is 240 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 709 - 55?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1.5 and 0.1662110792?\nAnswer: 1.6662110792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 22*w - 10. Let r(l) = 3*l - 1. Let j(d) = -8*r(d) + y(d). Let u(a) = 16*a. Determine u(j(p)).\nAnswer: -32*p - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 25277 + -480137\/19. Let g = -13463\/2033 + d. Sort g, 0.4, -3 in ascending order.\nAnswer: -3, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 3542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 14341, 14260, 14175, 14086, 13993, 13896, 13795?\n\"Answer: -2*l**2 - 75*l + 14418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 185 a factor of 20969497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -10*d**2 - 13*d**2 - 6*d**2 + 32*d**2. Let a(m) = -5*m. Give y(a(c)).\nAnswer: 75*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eepd when four letters picked without replacement from eedepmempeded?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -3*-183406\nAnswer: 550218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -566 by 2.\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -1120 (base 3) to base 14\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 3*g - 18 = 0, 2 - 1 = 3*x - 2*g. Suppose x*i = 3, -3*m - 3*i - 21 = -0*i. Sort 2, m, -2.\nAnswer: m, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -27*c + 28*c - 255855, -5*z = c - 255867. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -14a0 + 10?\nAnswer: -1490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*m**3 - 18*m**3 + 2 - 14 wrt m.\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((s*s\/(s*s**(-7)))\/s**(-2\/9))\/(s**(2\/9))**(-8))**(33\/2))**(-44) assuming s is positive.\nAnswer: s**(-7260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 51\/124720 and 69\/623600.\nAnswer: 623600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56717061?\nAnswer: 3, 18905687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*t**2 - 3*t + t**3 - 7*t**2 + 4*t**3 + 7 - 4 - 19*t**3 to f*t**3 + n*t**2 + h + g*t and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-62370)\/(-48600) - 12\/10\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 - (73 - -15 - 11) - 24 - -20?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -10*c - 19. What is the tens digit of t(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.305 + -278.695. Let x = m + 133. Let b = x - -125.3. Round b to 0 dps.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 159524?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (993\/735 - 1)*310\/372 and 11\/105?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5.134686 rounded to 2 dps?\nAnswer: -5.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let -4*p**4 + 8868*p**3 - 114088*p**2 - 1147296*p + 2680064 = 0. What is p?\nAnswer: -8, 2, 19, 2204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1130093676 and 2004.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 28439 is divided by 1353.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -6*d**2 - 11*d + 20506 wrt d?\nAnswer: -12*d - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 49886297?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -8 (b) -1\/2 (c) 1 (d) 14\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -2*w + 9. Let s(h) = h - 5. Give 3*k(o) + 7*s(o).\nAnswer: o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -314217308 by 78554327.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + (4 - (4 - (8 + -5)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 13*x + 13. Let o(c) be the second derivative of 3\/2*c**2 + c + 1\/2*c**3 + 17. Give -4*j(d) + 18*o(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2214691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2 + -5 + 3 - -780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 509690318 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be (7 + 49\/(-7))*(1 + 0). Suppose r = o - 50 - 125. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g - 24 - 9. Suppose 1 = t - 2. Suppose 8 = -t*x + 272. What is the greatest common divisor of x and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + 3 - 3 - -6 - (18 + -18)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 19 (base 10) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.29 in -1\/3, 5, 154?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5 + -1. Let z be -2 + 1 - (2 - 5). Find the second derivative of 6*y**4 + 5*y + y**2 - f*y**2 + 3*y**z wrt y.\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eptettetttetepteept. What is prob of sequence pptp?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -1901*t - 40005. What is c(-21)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(104)\/sqrt(200) + 2 + (sqrt(104)\/(-2*sqrt(8)) - ((1 + sqrt(52) - sqrt(52)) + sqrt(52))).\nAnswer: -23*sqrt(13)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 6, 3, -3 in descending order.\nAnswer: 11, 6, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/13 in -1.6, 2\/5, -4.2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 143346 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 2*t**2 - 7*t**2 + 784*t + 35 - 749*t. Let u(a) = 5*a**2 - 34*a - 35. Let j(l) = -5*u(l) - 4*x(l). Find z such that j(z) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 71011597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-4)\/(-84))\/(8\/(-48)))\/((-18)\/(-27)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 5*q - 4*x, 2*x + 7 = -2*q + 5*q. Suppose -v + 2*o + q = 0, o + 7 = 2*v + 1. What is the second derivative of s**v + 5*s - 2*s - s wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 148\/(-18) - 2\/(-9). Let y(j) = -11*j - 12 + 3 - 2*j**2 + 5*j**2 - 4*j**2. Let v be y(m). Solve h = -2*h + v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 24 = 4. Let l(o) = -o**2 - 4*o + 4. Let q be l(-4). Let t be 0 + (-2)\/q*-4. Solve -3*x = w - t*x - 4, -4 = -r*w + 3*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**2 - 17*o - 23. Calculate w(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 58136026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o - 2. Let h be j(-2). Suppose 3 = 2*y + 1. Let p be h\/54*y*6. Is -1 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 323200131 + -1?\nAnswer: 323200130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 415 - 418. Which is the second biggest value? (a) -7.1 (b) r (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -2 - 0 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 176 and 538800.\nAnswer: 5926800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -59*w**2 + 40*w**2 + 30*w**2.\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = i**3 + 17*i**2 - 136*i - 2212. Calculate n(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2423*d = -280441 + 498511 for d.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the second derivative of -7*i**4\/6 + 49*i. Let b(v) = -7*v. Determine j(b(n)).\nAnswer: -686*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 52318?\nAnswer: 2\/26159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y\/(y\/y**(-2\/19))))**(-46))**(2\/11) assuming y is positive.\nAnswer: y**(-1932\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.1 - 0. Let s = -183 - -188. Suppose -s*i + 9 = 8*p - 11*p, 4*i + 6 = -2*p. Which is the nearest to d? (a) p (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b. Suppose 0 = 19*a - 126 + 31. Calculate h(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 - (-12)\/(-10) - 1256\/(-560490)*-952\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 35 = 5. Let h be u\/(-6)*(-9)\/(-6). Let j be 92\/(-46) + 5 - 1\/1. Sort j, h, 0.4 in increasing order.\nAnswer: 0.4, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**2 - 20*u - 40. Give z(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3144 + 5087. Calculate the remainder when 3887 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j = 113*m - 122*m - 223, 4*m - m - 4*j - 39 = 4*m for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - (3 + (0 - (2 + -1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*u + 8*u + 2*u)*(-7*u + 3*u - 3*u**2 + 0*u).\nAnswer: -60*u**3 - 80*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1 + 3. Suppose 5*m = s*m, -n = -m - 4. Suppose n*w = 2*w. Solve 3*t + t + 16 = w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3749108?\nAnswer: 2, 11, 139, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 51*q**2 + 1679 + 34*q**2 + 2*q - 114 - 16*q**2.\nAnswer: 69*q**2 + 2*q + 1565","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1594340.\nAnswer: 2, 5, 11, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 22.51 + 6.19. Let q = -28.69999773 + i. What is q rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.5 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 8*u**2 - 12*u - 61. Let b(z) = -z**2 + 2*z + 3. Calculate -6*b(f) - h(f).\nAnswer: -2*f**2 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 100? (a) -4 (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 507 + -456. Let s = 35223492.0000136 - 35223543. Let g = s + i. What is g rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 260 + -250. Calculate the smallest common multiple of w and (-44)\/(-10) - 4\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 136*v + 1. Let m(t) be the second derivative of t**3\/6 - 5039*t. Give m(g(k)).\nAnswer: 136*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1237 + -1216. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 895 and 1066 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 2*o - 2. Let b = -1234 + 1233. Let s(z) = 1. What is b*r(j) - s(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.7 + -0.5. Let t = 0 + a. Is t < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000869919452 rounded to seven decimal places?\nAnswer: -0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -6*y - 5. Let d be i(1). Let f = 4 - d. Solve 0 = -2*a + 5*a - f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggccgggxo. What is prob of picking 2 g?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 22351 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -5*z**2 + 6*z - 6. Let a(v) = -11*v**2 + 14*v - 14. Let x(k) = 3*a(k) - 7*d(k). Let b(w) = -117*w. What is x(b(t))?\nAnswer: 27378*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -39*w. Let d(b) = -b + 11. Let y be d(13). Let u(a) = -3*a. Let h(s) = y*t(s) + 27*u(s). Let f(m) = -9*m. Determine f(h(z)).\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-529*g + 9942 - 9942)*(-1 + 0*g + g + g) as q + u*g**2 + y*g and give u.\nAnswer: -1058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 7309 divided by 6\nAnswer: 7309\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/3*p**4 - 10\/3*p**3 - 44\/3*p**2 - 32\/3*p + 0.\nAnswer: 2*p*(p - 8)*(p + 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3929663 is divided by 593?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 78 + 10467.975\nAnswer: 10545.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -3325330, -6650638, -9975922, -13301182, -16626418, -19951630?\n\"Answer: 12*g**2 - 3325344*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*x**2 - 32*x**6 + 25*x**6 + 2*x**2 wrt x?\nAnswer: -840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-6601)\/82)\/(1\/(-132)). Let h = 382439\/36 - i. What is the common denominator of 133\/36 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-76)\/25*(-25275)\/6740.\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z + 15 = 2*n, -5*n + 114*z + 18 = 115*z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + -9 + 9 - (-6 + -1 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -2*a - 1. Suppose -3 = o - 10. Determine s(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 2 i when three letters picked without replacement from igii?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -1\/9, -0.3, 4, 2\/241, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:24 PM and 1:31 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 27\/2 and 2\/9 - (-1)\/(72\/932)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 - -9. Suppose 1 = m*s - 55. What is the units digit of (2\/4)\/(1\/s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 6 - 2)*(6 - 2 - 3)*(111*t + 108*t - 93*t) as f*t + r and give f.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 14 minutes after 1:27 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3377 + 2158*k**2 + 3377)*(3 + k - 4 - 4*k).\nAnswer: -6474*k**3 - 2158*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -142*j = -544*j + 179*j + 9812 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9074 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 89624.53l?\nAnswer: 89624530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 18476561 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 597794 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 10 and 151804?\nAnswer: 759020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -758 - 337*c - 1000 + 2808*c - 554 + 745 with respect to c.\nAnswer: 2471","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*v + 153*v**4 + 35*v**2 + 1092*v**3 - 25*v**5 - 897*v**3 - 68*v**4 - 54*v = 0. Calculate v.\nAnswer: -1, 0, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 - 71 = -18*v. Solve 4*l + 1 = -v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-18)\/(-18))\/(3\/(-21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -19*b**2 + 10*b**3 - 3*b**3 + b**3 + 17*b**2 + b**4 in the form t + y*b + p*b**4 + c*b**2 + n*b**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - 353.\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 463032, 463031, 463018, 462987, 462932, 462847, 462726?\nAnswer: 462563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**0\/w**(-1\/16)*(w\/(w\/(w\/(w\/(w\/w**0))*w)))**6 assuming w is positive.\nAnswer: w**(193\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -0.0431, -103, 2?\nAnswer: -0.0431","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r - 90 = 2*c, -44 - 10 = 5*c - 3*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*((-6*sqrt(192)\/sqrt(6) + sqrt(32) + -4*sqrt(800))*-4 + 5))**2.\nAnswer: 4000*sqrt(2) + 320025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 1c50 (base 16) to base 7.\nAnswer: 30063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -259*d + 283*d + 122*d + (-5*d + 6*d + 6*d)*(-4 + 2 + 0) + (1 - 6 + 3)*(-2*d + 0 + 0) + 3 - 3 - d - d + d + d + d - 4*d + 2*d.\nAnswer: 135*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 677425093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 634\/543 + 1541119\/5973. Let h = l + -259. Let g = h + 16\/33. Which is the third smallest value? (a) g (b) -1 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = m - 3. Suppose -4*h + 3 = -5. Let t be l(h). Which is the third biggest value? (a) -3 (b) -1\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 4 - 1)*(a**5 - 2*a - 2*a**4 + 2*a) - 6*a**5 + 4*a**5 - 3*a**5.\nAnswer: -7*a**5 + 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - (-7 + 5 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -2*v**2. Let c(i) be the second derivative of 0*i**2 - 10*i + 0 + 0*i**3 - 5\/12*i**4. Determine q(c(a)).\nAnswer: -50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.02 + -45.98. Let k = q - -46.5. Let a(f) = -f**2 - 8*f - 7. Let u be a(-8). What is the second smallest value in k, -0.4, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, -42\/3433, 1\/245, -0.3 in ascending order.\nAnswer: -0.3, -42\/3433, 1\/245, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 22304322 (base 7) to base 3\nAnswer: 10122021102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6954)\/532)\/(-61)*4\/(-2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -116.2 + 116. Which is the fourth biggest value? (a) 0 (b) x (c) 0.2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 205 + 494?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -8*u - 64. Let k(w) = w + 7. Let t(b) = -28*k(b) - 3*y(b). Find the first derivative of t(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6 + 10. What is the lowest common multiple of 6 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4574808 millennia in decades?\nAnswer: 45.74808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -47 + 12*f + 9*f - 27*f + 11*f + 325*f**2 + 49 as m + r*f**2 + c*f and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c - 4. Let b(w) = 3*w + 13. Determine 3*b(s) + 8*d(s).\nAnswer: s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5 - 3. Suppose 2*p = 3*o - 0*p - 22, 4*o - 3*p = 31. Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10440?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Do -24 and 4\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -52, -59, -70, -85, -104, -127, -154?\n\"Answer: -2*n**2 - n - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-96)\/(-130) - (-3)\/(-15). Let p = j - 41\/52. Sort p, 0.3, 5 in increasing order.\nAnswer: p, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 12 + 231?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1909902289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -31722, -31723, -31724?\n\"Answer: -s - 31721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = m**3 - 3*m**2 - 2*m - 4. Let d be l(4). Suppose -3*n = d*j, -j - 2*j = -n. Solve 6 = 5*r - 3*u, -2*u = 2*r - j*u - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -32332303 (base 4) in base 3?\nAnswer: -10010011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 773959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 93099143 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2005 + -1802. Which is the second biggest value? (a) -0.2 (b) j (c) 0.5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1795164 and 18.\nAnswer: 5385492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 - 1)*(-o + 0*o + 3*o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 43403600 (base 8) in base 13?\nAnswer: 1c0b916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = 5*t - 9, 3*g - t + 0 + 7 = 0. Is 6 a factor of (-33)\/2*g\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 35 + -39. Let u = -55.7 + 59.736. Let g = a + u. Round g to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -79*z**3 - 15*z**2 + 19*z - 8. Is d(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 90472761 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -117*d - 4450. Let b be u(-38). Let m(t) = -t - 12. Calculate m(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 236643026+-994.1\nAnswer: 236642031.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 282, -10, 11368 in descending order.\nAnswer: 11368, 282, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = x**3 + 25*x**2 - 85*x - 12. Let y be (-1 + 1)*(1 - 0). Suppose -5*u + 118 + 37 = y. What is the remainder when u is divided by t(-28)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 27 = -3*f - 27. Solve y + 10*z = 5*z + 20, f = 5*y - z - 22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -6, 13, -4\/13, -20?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 384 + 71*o**2 + 22*o - 22*o.\nAnswer: 71*o**2 + 384","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -2*s**2 + 23*s + 756. Calculate x(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3 (b) -2\/353 (c) 4 (d) -0.1 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 3*u + 5*j, -2*u - 2*j + 1 = -3*j. Suppose l + u = 4. Solve -15 = l*p - 4*a - 0*a, -p - 5 = 2*a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m\/(m\/(m**(2\/39)\/m)))\/m*m*m*m**(-3\/5))\/(m**(-2\/11))**(15\/2) assuming m is positive.\nAnswer: m**(3893\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand d**4 - 1264 + 1264 - 85*d**5 + (-d - 2 + 2)*(-d + d - 3*d**4).\nAnswer: -82*d**5 + d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -60*z + 6486*z + 16001*z to the form c*z + q and give c.\nAnswer: 22427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 16 and 21104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 3*u + 93 = 0. What are the prime factors of u?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -100*s**5 + s + 27.\nAnswer: -2000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -52*q - 1. Let o be v(-1). Let x(f) = -f**2 + 12*f - 10. Let j be x(9). Calculate the greatest common divisor of j and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9005*q - 3*i = 9000*q + 2, 4*q - 46 = -5*i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 68 + h**3 + 23*h**3 - 68 - h to the form q*h + t*h**2 + d + l*h**3 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -159002487\/1045 - -2890920\/19. Let t = j + 35\/19. Let u = -51\/110 - t. What is the biggest value in u, 2\/5, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*2*sqrt(156) + sqrt(156) - sqrt(156))\/(-1*sqrt(432) - sqrt(432)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 216356084?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -3*c**2 - 4*c + 11 - 3 + 2*c**2 - 4*c. Let p = -49 + 78. What is the remainder when p is divided by q(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11839 is divided by 304?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6 and 597360.\nAnswer: 597360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.089 + -16.689. Let f = q + 16.5. What is the closest to 2 in f, -5, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:58 PM and 1:23 AM?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Simplify (((h*h**(-2)\/h)**42)**(2\/9))**30 assuming h is positive.\nAnswer: h**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -6*x**2 + 2*x. Let c(t) = -t**2. What is 4*c(p) + d(p)?\nAnswer: -10*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 128 and 866531200?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v = 5*v + 340. Let o = -38 - v. Let u = 42 - o. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1 - -9) + (-1098)\/135. Let s = -12 + 17. Suppose -k - 14 = -4*z, -4*z - k + 22 = 4. Which is the smallest value? (a) s (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 62339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = p**3 + 17*p**2 - 49*p + 95. Give r(-20).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(-3) - (-6)\/9. Suppose 5*l = -c*o - 2*o + 339, 0 = 5*l - o - 333. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 119796 and 8344?\nAnswer: 1677144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 54*f + 6. Let p be g(0). What is the third derivative of 30949*v**2 - 1 + 5*v**4 + 7 - 30955*v**2 + p*v**3 wrt v?\nAnswer: 120*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -13 + 8. Put 1, m, 2 in decreasing order.\nAnswer: 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -420*h + 5. Let o(p) = 2*p**2. Calculate x(o(m)).\nAnswer: -840*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {y: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 176 = n. Suppose 3*d - n = 16. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 + 6. Let r be (0\/(-2))\/(5 - 6). Suppose -4*z - 1 - 3 = r. Which is greater: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is s in -2*s**3 + 72*s**2 - 570*s + 500 = 0?\nAnswer: 1, 10, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 355 divided by 89605.\nAnswer: 71\/17921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -456 - -447 - (5 - (64 + -6))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 278085*r + 56 - 278086*r - 56.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -514, -2040, -4560, -8056, -12510?\n\"Answer: 3*n**3 - 515*n**2 - 2*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24\/(-18)*3)\/(1*-58).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 140529063 or 140529064?\nAnswer: 140529064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0013627 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -191 - 2851 = -90*n - 79*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (13\/(-4))\/(10686\/(-8768))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 110 minutes before 12:09 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -60277073 divided by 60277073?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, b: 2, x: 4, z: 1, h: 2, y: 1}. What is prob of sequence xv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 139 + -693\/5. What is the biggest value in -1\/7, -1, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.47 - 200008.\nAnswer: -200006.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = -243 + 554. Let n = l - 280. Does 31 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by 80647063.\nAnswer: 2\/80647063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2399, 9622, 21667, 38534, 60223?\nAnswer: 86734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:55 AM and 1:26 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -93*v - 206. Let z be q(-6). Calculate the highest common factor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22.35409 rounded to two dps?\nAnswer: -22.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + 2 + (19 - 22) + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(65)\/(sqrt(45)\/sqrt(9)).\nAnswer: -2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the third derivative of 0*c**4 - 1\/120*c**5 + 0*c**3 + 0*c + 0 + 8*c**2. Factor y(v).\nAnswer: -v**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1658930 + -1058930. Round d to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**3. Let o(c) = 4*c**3 - 25*c**2 + 1. Determine o(q) - 2*z(q).\nAnswer: 2*q**3 - 25*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 2133, 4, -2\/11, 9, -4, -18 in decreasing order.\nAnswer: 2133, 9, 4, -2\/11, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4 and -4.42295.\nAnswer: -17.6918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 560\/13 in -1, -0.4, -5, 2, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 - 4. Suppose 0*q = -a*q + 5*w + 18, 0 = -3*q + 4*w + 13. Does 4 divide ((-2)\/(-6))\/(q\/(-63))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3 + 4\/28*-19. Let w = 0.1 - 0.2. Let q = -127.607 + 125.607. Which is the second smallest value? (a) x (b) w (c) q (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 2*o + 51 = -3*y, 0 = -5*o + 2*y - 50. Let h = o + 15. Find the second derivative of 3*d**3 - d**2 + 2*d**h + 8*d + d**2 wrt d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2321770807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -10*h**5*x - 4*h**4*x + 193*h**3*x + 66*h**2 + 7385*h*x wrt h.\nAnswer: -600*h**2*x - 96*h*x + 1158*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 1\/3*n**4 + 1\/3*n**3 - 3*n - 3*n**2.\nAnswer: n*(n - 3)*(n + 1)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 141, 108, 67, 12, -63?\n\"Answer: -w**3 + 2*w**2 - 32*w + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 35*f + 22*f - 16*f in the form o + g*f and give g.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2057996221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: What is 1593825137 to the power of 1\/2, to the nearest integer?\nAnswer: 39923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 28*g**3 - 13*g**2 + 9*g + 8. Let k(d) = 7*d**3 - 3*d**2 + 2*d + 2. Calculate 2*h(y) - 9*k(y).\nAnswer: -7*y**3 + y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 3\/2 (c) 1\/2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 15) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**5\/h)\/h)\/(h\/(h\/(h*h**4)))*h**(5\/4)*(h\/(h**(-2\/3)\/h*h))\/h*(h**(-4)*h*h\/(h*h\/h**(-2\/9)*h)*h*h)**38 assuming h is positive.\nAnswer: h**(-4411\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20 + 20 + 7*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes after 6:33 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7 - -2. Let b = -2 - n. Suppose 5*l = b*i + 85, -4*l + i = -i - 68. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 40564\/2343 + 16\/781. Find the common denominator of -71\/1104 and o.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -7 or -5887?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.44 + -0.06. Suppose 5*s = -2*f + 4*f + 10, -4*f + 4*s + 4 = 0. Which is the closest to 1\/4? (a) f (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p**3 - 14*p**2 + 9*p + 8. Let h be d(-15). Calculate the greatest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -20 (base 7) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.7 + 2.2. Let w = -31.67 - -0.37. Let s = w + 31. Which is the fourth biggest value? (a) j (b) s (c) -4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7\/(-21)*(-2)\/(-3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b - 2*b - 12 = 0. Let g(z) be the first derivative of -z + 3 + 0*z**2 + 1\/2*z**4 + 0*z**b. Differentiate g(y) wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -40 = -19*u + 11*u - 128 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -9*g**2 + 5*g. Let i = 15 + -10. Let f(r) = 14*r**2 - 8*r. Let x(q) = i*f(q) + 8*l(q). Let u(y) = -4*y. Give x(u(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -98804924*s - 207358224.\nAnswer: -98804924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -8*k + 5*k + 9883 - 3*k - 2134 + 9*k in the form h + a*k and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 39900288 to the nearest integer?\nAnswer: 6317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 2433928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**2 + 32*w + 16151. Calculate y(144).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2728 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f + 19 = 25 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2023)\/(-8670) + (-3)\/20.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 7*r**2 - 6*r - 1. Let x(s) = -s**2 + s. Let a(g) = 3*h(g) + 24*x(g). Solve a(i) = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -24, 1, 217, -1, -26, 3 in ascending order.\nAnswer: -26, -24, -1, 1, 3, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1875424433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -7364 or -7360?\nAnswer: -7360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g\/g**0)*(g**(3\/8)*g*g)\/g*(g*g\/(g\/((g\/(g**(4\/5)*g))\/g)*g))**44)**(10\/3) assuming g is positive.\nAnswer: g**(-3113\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 73649551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b\/(b\/((b\/(b\/((b*b\/(b**43\/b)*b)\/b)))\/b))*b*b)\/((b\/(b**(-3\/10)*b)*b*b)\/b*b) assuming b is positive.\nAnswer: b**(-403\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 33*v + 110. Determine k(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the first derivative of 1 + 0*l**2 + 1\/4*l**4 + 4*l + 4\/3*l**3. Let n be r(-4). Put -3, n, -1 in descending order.\nAnswer: n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30)\/8*(-80)\/(-156)*13.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1)\/(-4) - 550\/(-40). Suppose -3*u + 2756 = -4*b, 4*u + 3*b - 2227 - 1456 = 0. Is 14 a factor of (-4)\/(-14) + u\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (4\/3)\/(-91*(-28)\/294)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 266 - 262. Let q(v) = -v + 3. Give q(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(-2\/7)*m)**(-2\/13)*(m**(-4)*m)\/m**(-1\/5) assuming m is positive.\nAnswer: m**(-1394\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -2*g. Let c(y) = 3*y**2 - 4*y. Let r(b) = -3*b**2 + 3*b. Let w(k) = -3*c(k) - 4*r(k). What is a(w(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + 7*l)*(-1 + 0 - 1 + (-5 + 3 + 3)*(2 + 3 - 3) + 1 + 0 + 0) + 0*l - 2*l - l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 15 and 111.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 30, 135, 318, 585, 942, 1395, 1950?\n\"Answer: o**3 + 33*o**2 - o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -8*m + 7. Let r(s) = s**2 + 6*s. Let o be r(-6). Suppose -4*z + 2*t + 15 - 5 = o, -4*z + 13 = t. Solve -4*k - z = m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 1 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 9) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/10)\/((1806\/(-140))\/43)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1200) - (sqrt(1200) - -1*sqrt(1200)))\/(sqrt(240)\/sqrt(10)).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6254833902.\nAnswer: 2, 3, 17, 53, 1157017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**3 - 4*z**2 - 38*z + 98. Let n be i(8). Solve 0 = 15*v - n - 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.6 and -0.01438.\nAnswer: 0.008628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 14*k + 10. Let o(m) = 9*m + 7. Suppose -613*h - 104 = -632*h + 29. Give h*o(v) - 5*r(v).\nAnswer: -7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 6 = 4*l + 6, -2*l - 2 = 0. Let b(d) = -h + d**2 - 1 + 2*d + 5. What is b(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 2 + 2*l)*(4 - 4 + 2*l)*(-2*l - 49*l**2 + 20*l**2 + 27*l**2 - 11) as k*l + j*l**2 + q*l**3 + h*l**4 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 189 a factor of 78057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 39 = 3*t, 7 + 2 = -3*t. Suppose -4*m + 58 = -u*m + 4*j, 2 = -j. What is the common denominator of m\/(-6) + (-1)\/4 and 36\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3.62, 0.07, 1\/5, 1, 851, -2\/5 in increasing order.\nAnswer: -2\/5, 0.07, 1\/5, 1, 3.62, 851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 24 + -143. Let d = 119 + m. Solve -3*g - 9 - 6 = d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-16)\/((i*i*i**(5\/4))\/i))\/(i**(14\/5))**16 assuming i is positive.\nAnswer: i**(-1261\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10672, 10680, 10680, 10672, 10656, 10632?\nAnswer: 10600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**3 - 12*m**2 - 16*m - 57. Let t be g(-11). Sort t, 28, 0 in increasing order.\nAnswer: t, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = v**3 + 21*v**2 + v + 27. Let j be b(-21). Let p be j\/(-5)*(-1)\/((-10)\/(-25)). Let h be (-48)\/(-18) + p\/9. Solve 6 - h = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-250)\/(-100)*8\/5. Suppose -z*g - 107 = 4*a - 747, -5*a - g + 820 = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (2 - -17 - 15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**3\/2 + q\/2.\nAnswer: -q*(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10 + 10000101111?\nAnswer: 10000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the first derivative of 2*u**5\/5 + 35*u + 17. Differentiate s(i) with respect to i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -585 divided by 6\nAnswer: -195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - i)*(0*i - 2*i + 0*i) + 45 + i**2 - 45.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide ((-10359)\/18 + -6)*(1 + -3) + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -3*f. Let b(c) = 139*c - 25. Let a(w) = -7437*w + 1340. Let p(s) = 5*a(s) + 268*b(s). Give u(p(v)).\nAnswer: -201*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-4)*(-6760)\/1014.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9007234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((-247)\/152)\/(4\/32)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = 26 - 311. Suppose 0 = -2*j - 5*t + m, 3*t - 8*t + 15 = 0. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -13*k**3 + 19 - 4 - 7*k + 12*k**3 - 10*k**2 - 8*k. What is the remainder when 33 is divided by r(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 283 a factor of 1131243896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is ((-90)\/(-8))\/(((-5181)\/(-396))\/(-157))?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, -17103\/5, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -12006 divided by -6003\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -26 - -27. List the prime factors of 1\/(g\/(-72)*-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*b + 302 - 52 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(49)\/(sqrt(14)\/sqrt(2)) + -4)**2.\nAnswer: -8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 414 = -v + 430, 7 = 3*n - 2*v. Let g = -2 - -2. Solve n*p = -g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 41 + -37. What is the remainder when 34 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.09361366617 rounded to 5 decimal places?\nAnswer: 0.09361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-17)\/((-4522)\/(-1368))*(5 - -21*2\/(-8)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ozrqrzqxrqz. What is prob of picking 1 r, 2 z, and 1 x?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -741 + 760 - (37 + -1) - 13.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*c**3 - 6333 + 39*c**2 + 210 - 2838 + 64*c**2 - 147 - 5*c wrt c?\nAnswer: 6*c**2 + 206*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + 4*i = -18, 0 = 65*z - 68*z + 2*i + 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(28) + sqrt(847)*2 + -5 + 1 + 4)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*i**2 - 2427 + 2427 + 5*i**2 - 30*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.5 + 0.8. Let b = -1.1 - -0.8. Put 2\/3, b, r in decreasing order.\nAnswer: 2\/3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9192.767 micrometers to centimeters.\nAnswer: 0.9192767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*s**2 - s**2 - 4*s**2)*(-1 - 4*s + 2*s + 0*s) to the form h*s**2 + c*s + q + m*s**3 and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 265411 + -172607. List the prime factors of k.\nAnswer: 2, 23201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -1779367 divided by 1779367\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the second derivative of n**6\/90 + n**5\/30 - 7*n**4\/36 - 4*n**3\/9 + 2*n**2 + 66*n - 5. Find f, given that a(f) = 0.\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3456\/90)\/16*10\/16.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d - 0*d - 880. Suppose -m + d = -3*m. What is m rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2 - 157a098?\nAnswer: -157a096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 522 and 1242.\nAnswer: 36018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 392400 rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**2)\/m**(-6))\/(m**10*m\/m**(10\/11)) assuming m is positive.\nAnswer: m**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 704 and 3606592.\nAnswer: 3606592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -7402*x + 7401*x + 30 = 5*t, -5*t + 22*x - 200 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(152) - sqrt(152)*-2)*-5 + (sqrt(152) + 2*(sqrt(152) + -2*sqrt(152) + sqrt(152)) - sqrt(152)))\/((sqrt(88) + -1*sqrt(88) + sqrt(88))\/sqrt(11)*4).\nAnswer: -15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/(3\/(-21) - 0)*9. Calculate the highest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 8*o**3 + 2*o**2 - o. Calculate g(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k + 63 - 9. Let y = -7 + 11. Suppose 3 = l - y. Calculate the remainder when k is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51 divided by -2?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1507, 3045, 4629, 6283, 8031, 9897?\nAnswer: 11905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 98680317 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1228 and 338.\nAnswer: 207532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 4886*g - 336*g + 843*g + 31028 - 95744 = 0 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 3 = -1. Suppose n*s - 3*y - 44 = -5*y, 4*s = y + 68. Solve 5*o - s = d + d, 3*d = -5*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by 643597.\nAnswer: 3\/643597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 5, f: 1, s: 1, w: 2, t: 1}. Give prob of sequence ft.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 2 k when three letters picked without replacement from {v: 1, k: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (673*g + 701*g - 573*g)*(-3*g**3 + g**3 + 4*g**3) to the form a*g + b*g**4 + z*g**3 + l + p*g**2 and give b.\nAnswer: 1602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2335689 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-z**2 + 4*z**2 - 2*z**2)*(-1 + 0 + 2) + 5*z**2 + 4*z**2 - 2*z**2 - z**2 + 4*z**2 + z**2 - 3)*(-3*z**3 + 4*z**3 - 4*z**3).\nAnswer: -36*z**5 + 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 718.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yxhp when four letters picked without replacement from {x: 1, u: 2, h: 1, c: 1, p: 3, y: 3}?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -73 + (-8 + 35 - (209 + -173))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence co when two letters picked without replacement from {j: 1, c: 5, g: 1, x: 4, t: 3, o: 3}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 8*k**3 - 64*k**2 + 15*k - 222. Calculate l(7).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45 = 6*d - 87. Suppose d*t - 8*t = 2. Sort t, 0, -13 in increasing order.\nAnswer: -13, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = -3*o - 4. Let w(g) = -6*g**3 + 2*g**2 - 1. Let c be w(o). Calculate the remainder when (-4)\/6 - c\/3 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 39 = -k. Suppose k*v - 18*v = -115. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -5*v + 9*v**2 + 23 + 12*v - 22 + v**3 + 7*v. Let q be r(-7). Put -2, 4, q in descending order.\nAnswer: 4, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1782656 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lsnnglaliagglsn. Give prob of sequence asn.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 60 = -46498016*u + 46498012*u + 6*r, 6*u + 24 = -2*r for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -412333322 + -2144?\nAnswer: -412341021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from {c: 3, e: 1, m: 7, x: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in 31, 0.5, 4, -28, -3, 2, 7?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -179.6 + 201. Let f = 22.15 - s. Round f to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*l - 39 = 81. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*j**2 + 18*j**2 - 381 - 380 - 392 + 1536 - 383.\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000051577 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) 2\/7 (b) 1\/4 (c) -57.6 (d) -53.99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 0 = o. Is 90 - (o + 1) - 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1203960004.246 less than -0.1?\nAnswer: 1203960004.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 10 = 4*g, g + 1 = 3*i - 2. Solve i = 3*z - 2*z + n, 5*n - 7 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -8939 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000005671 rounded to 7 decimal places?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -819.1 - -819. Let p = 0.03 - -7.97. Which is the nearest to s? (a) 0.3 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the second derivative of 171*l**3 - 939*l**2\/2 - 983*l. Find the first derivative of f(g) wrt g.\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8*(-3)\/(-23)*6915\/(-5532).\nAnswer: -30\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + (-2 - -5) - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the first derivative of -v**5\/60 - 3*v**4\/8 - 8*v**3\/3 - 5*v**2\/2 + 15. Let f(g) be the second derivative of p(g). List the prime factors of f(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from {t: 1, l: 2, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w**2 + 12*w - 26. What is l(-7)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 8280 - 3580 = 0. Let c = 3325 + l. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 157\/1680 and -1\/184.\nAnswer: 38640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n be 21\/18 + 10*11\/220. Is n at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Let x be ((-80)\/24)\/((-5)\/6). Put 1, 26, x in increasing order.\nAnswer: 1, x, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*y + 5058 = 4873. Solve -75 = -20*q + y*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 9*(102\/(-27) + 4). Suppose -2*g + 8 = u, 2*u + 5*g = -z*u + 17. Which is the closest to u? (a) -1 (b) 0.4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (20\/(-8))\/((-3)\/6). Let w = f + -2. Suppose 500 = w*p + p. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -9\/4 - 39\/8*c - 21\/8*c**2 + 3\/8*c**3 + 3\/8*c**4 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 23.9 + -25.9. Suppose 3*s + 25 = -4*b, 4*s + 13 = s - b. What is the nearest to h in s, -3\/8, 3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(-25)*g)\/g)\/g**(-26) assuming g is positive.\nAnswer: g**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2176 - -5.\nAnswer: 2181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:08 PM and 3:36 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the first derivative of r**3\/3 + 5*r**2\/2 - 3*r + 11. Let j be g(-5). Let n = 2 + -1. Which is the closest to n? (a) j (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -2*n - 22. Let q be j(-17). What is the highest common factor of 42 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -327 + 842. Let f = 815 - p. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5646844 and 6453536?\nAnswer: 45174752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -420468, -840934, -1261400, -1681866?\nAnswer: -2102332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -105, -198, -283, -354, -405?\n\"Answer: o**3 - 2*o**2 - 94*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -34\/375 and -106\/105.\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (t**2 - t**3 - t**2)*(14 - 2 + 35*t - 34*t).\nAnswer: -t**4 - 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 63, 304, 699, 1248, 1951?\n\"Answer: 77*s**2 + 10*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*s**2 + s**2 + 3*s**2)*(-60*s + 142*s + 139*s) + 0*s**3 + 0*s**3 - 5*s**3 + (-4*s + 4*s - s)*(-4 + 4 + 2*s**2).\nAnswer: 214*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 4*c = -71, -5*o + 2*c = 6*c - 379. Let j = 77 - o. List the prime factors of (5\/(-2))\/(j\/(-44)).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*l + 50 = 5*f + 13*l, 12*l + 1 = 3*f - 8*l + 21*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g*g*(g\/g**(-4\/3))\/g)*g)\/g)**(-2)*(g**11*g)**7 assuming g is positive.\nAnswer: g**(266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -2*a**3 + a**2 + 3*a + 1. Let w be r(-1). Let g = -0.01 + -2.99. Sort g, w, 1\/2 in increasing order.\nAnswer: g, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) be the third derivative of b**4\/24 + b**3\/2 + b**2. Let d be w(-3). Let v = -224\/1605 - -2\/321. What is the closest to d in 4, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1884731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 514*u - 1657. Let a(g) = 1800*g - 5800. Let w(p) = 7*a(p) - 25*s(p). Differentiate w(i) wrt i.\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -31945712 rounded to the nearest one hundred thousand?\nAnswer: -31900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(85)*3)\/sqrt(5) - ((4*sqrt(170) - sqrt(170))\/sqrt(10))**2.\nAnswer: -153 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let 3*w**5 + 7323693*w**4 + 58589424*w**3 + 175768152*w**2 + 234357456*w + 117178704 = 0. What is w?\nAnswer: -2441223, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:54 AM and 3:07 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -35 - -45. Let y = t + 39. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o**2 + 15*o + 18 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -842.35868 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: What is the third root of 23656629 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 1505703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -342*g**2 + 143*g**3 + 18*g**4 + 0 + 361\/2*g + 1\/2*g**5.\nAnswer: g*(g - 1)**2*(g + 19)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-172)\/(-18) - 36\/(-81). Suppose 3*g - 2*c = 5*g - u, 2*c = g + 1. Solve -3*b - 18 = -g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/4 + (-120)\/(-48). Suppose -6*r = -w*r - 328. Suppose 0 = 4*y - 106 - r. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -7*o**3 - 11*o**2 + 25*o + 7. Let f(n) = -10*n**3 - 17*n**2 + 37*n + 11. Let j(c) = 5*f(c) - 7*t(c). Let v be j(-9). Is v less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 23385696*k**4 + 22031498*k**2 - 3?\nAnswer: 561256704*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -2*k. Let a(s) = 4*s + 295. What is -a(o) - n(o)?\nAnswer: -2*o - 295","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w = -5*d + 5, -5*d + 5*w + 122 = 107 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(52)*1)**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-9)\/4)\/(8 + (-330)\/40). What is the greatest common factor of 99 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 650, 1299, 1958, 2627, 3306?\n\"Answer: 5*n**2 + 634*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -59511.53673 rounded to the nearest 10?\nAnswer: -59510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 12633263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 2*f**2 - 19*f - 381. List the prime factors of w(29).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -103\/2720 and 25\/967632.\nAnswer: 164497440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 212 + -1910\/9. Let u = 62.4 + 14.6. Let t = u - 79. Sort n, -0.3, 3, t in increasing order.\nAnswer: t, -0.3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 513169221 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h\/(h**3*h)*h*h*h*h*(h*h**(-1\/2))\/h*h*(h\/(h\/(h*h\/((h\/(h\/(h*h\/h**(2\/3)*h)))\/h))))\/h*h**(-2)\/h)**(-6\/29) assuming h is positive.\nAnswer: h**(5\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 406*k - 375*k + 310 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-96)\/(-56))\/((-4)\/(-14)). Let t(j) = 45*j - 3. Let d be t(v). Let r = 382 - d. What is the remainder when r is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 69 = 47. Suppose 3*v - 3*n = -v + 199, s = v + 2*n. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -6\/53?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-258)\/330 - (-6)\/10 - 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*z - 51*z - 812 = -4*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 84? (a) -6 (b) 8 (c) -4 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 4*c**2 - 13*c + 15. Calculate o(6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x\/((x*x\/(x**(-4)\/x))\/x)*x*(x**(2\/21)\/x)\/x)\/(x**(-13)*x*x*x**11*x))**5 assuming x is positive.\nAnswer: x**(-620\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are 69\/3163 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/6 + 68\/8. Suppose 4*j + 0*j - i = 0. Let t = -1 - -1. Which is the smallest value? (a) t (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -87, -451, -1401, -3219, -6187, -10587?\nAnswer: -16701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:07 AM and 6:50 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2200 + 100102101112?\nAnswer: 100102111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 35*y + 3183. Give q(-91).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9.84 + -90.84. Which is smaller: j or 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.361 less than 0.044784071301?\nAnswer: -4.316215928699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d**3\/4 - 14757*d**2\/4 + 62645*d = 0. Calculate d.\nAnswer: 0, 17, 14740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 144*o**2 - 6420*o**2 + 927522*o - 23394166 + 54*o**3 + 1557*o**2 - 7539*o**2.\nAnswer: 2*(3*o - 227)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**2 + 2181*q - 4358.\nAnswer: -(q - 2179)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmaamaaaammmamm?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 22 = 2*l - 27, 5*l + 5*r = 135. Calculate the highest common factor of l and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 33005 - 33005 - 19*s**2. Let b(j) = -2 + 2*j + 2. Give i(b(p)).\nAnswer: -76*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 20 = -0*z. Suppose 16 = z*p - 0*p, -5*p = 4*j - 492. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 5*m - 1. Let l(i) = i. Let w(z) = 4*l(z) - v(z). Let q(f) = -f + 6. Let n be q(0). Give w(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -5614 + 718846594\nAnswer: 718840980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1051*s**3 + 232457*s**2 + 103573*s + 770.\nAnswer: 6306*s + 464914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1 + 2 + (6 - (7 - 7)). Solve 5*s + a = -4*i, 4*i + 3*s + 4 - 3 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**2 - 4*c - 19. Let j be l(6). Let x be j - (-1 - (2 + -2)). Let f(k) = -k + 1. Does 6 divide f(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*y + 2*q + 152 - 154, -3*q = y + 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -2*m - 2. Give i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-1)\/2)\/((-5 - -4)\/(-6)). Let w(g) = 20*g - 44. Let u(f) = 7*f - 15. Let v(r) = s*w(r) + 10*u(r). What is the derivative of v(b) wrt b?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -3 - 3*a**2 + 8 + 0*a**2. Let f = 3 + 4. Let q(n) = 0*n**2 - 8 + f*n**2 - 2*n**2. Determine -8*d(u) - 5*q(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3023, 3020, 3017?\nAnswer: 3014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 135 and 56628?\nAnswer: 849420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 31, 50, 79, 118, 167, 226?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) be the second derivative of l**3\/6 + 13*l. Let k(a) = -40*a. Calculate y(k(j)).\nAnswer: -40*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 65 times 84.19?\nAnswer: 5472.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -643 - -689. Does 23 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from esntnept.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 + -7. Let k = j + 43. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16*l**3*o*t**3 + 7*l**3*t**3 - 146*l**2*o*t**3 - 2*l**2*t + o*t wrt l?\nAnswer: 96*o*t**3 + 42*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the third derivative of -r**5\/15 - 35*r**4\/6 + 24*r**3 - 2*r**2 - 2*r. Factor i(s).\nAnswer: -4*(s - 1)*(s + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2*0.03.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 6*h + 7 - 5*h + (19 - 40 - 24)*(-5 + 5 + 2)*(0*h - h + 0*h) in the form y + m*h and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/(-1))\/(12\/3).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3218184 divided by -2?\nAnswer: -1609092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 7*z**2. Let r be -3 - (-4)\/16*0. Let l(t) = -6*t**2. Give r*x(u) - 4*l(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 1 + 3*c**2 - 3*c + 24*c**3 + 0*c + 22*c**3. Suppose 6 = -2*h, -5*h = 7*d - 5*d + 9. Is o(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 687 minutes before 12:45 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**2 - 27*d - 179. Let t be u(-14). What is the second derivative of a**4 + 16*a**3 - t*a - 98*a**3 + 20 - 16 wrt a?\nAnswer: 12*a**2 - 492*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**3 - 5*f**2 - 2*f - 1. Let g be n(4). Let v = g + 366. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11 = -10*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (10 + 3 - 4 + (0 + 5 - 4)*(-1 - 3 + 6))*(-15*v + 96 - 96)*(8 + 4 + 2) in the form k + x*v and give x.\nAnswer: -2310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0637345485 to three decimal places.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, s: 3, a: 1}. Give prob of picking 1 g and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 52204 is divided by 365?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 764042398 to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -7\/5? (a) 2 (b) 1\/2 (c) 0.21 (d) 159 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9*-4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3490 + 3563. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1815959 equal to -1815958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.0197, -5, -2\/5, 0, 1\/6?\nAnswer: -0.0197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -3746.731 times 0.5?\nAnswer: -1873.3655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -188*n = 149718 - 165698 for n.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -61.27 - -61. Let u = -0.27038 - w. Round u to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/4)\/(6\/32*-12)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be 162\/(-108) + (63\/2 - 2). What is the nearest to 0 in j, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 125\/3603864 and 33\/47888.\nAnswer: 295516848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 3*w + 276 = 0, 0*w = p - w - 143. What is the remainder when p is divided by 51?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 99\/17152 and 13\/768.\nAnswer: 51456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 250*a + 253*a - 510*a + 11.\nAnswer: -7*a + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -28, 5, -0.03, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4042326 - 1?\nAnswer: -4042330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the first derivative of 2*p**2 - 3*p - 31. Suppose 0 = -2*v - 0*v, 3*r + 3 = 3*v. Let n = 2 - r. Calculate c(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2971\/8 + 370. Let w be 511\/560 + (-6)\/(-15). Let g = w + c. Are g and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes before 3:37 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 117 + -108. Let y = 24 + n. What is the remainder when 162 is divided by y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6 + 0 - 4)*(-1751 + 1751 + 18*m)*(-4*m**2 + 2*m**2 + 6*m**2) to u*m**3 + n + w*m + b*m**2 and give u.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 19438 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 3, j: 1, b: 2, l: 1}. What is prob of sequence blg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (i + i - i)*(148*i - 78*i + 268*i + (2*i + 2*i - 2*i)*(-2 + 0 + 4)) + 5*i - 5*i + 2*i**2.\nAnswer: 344*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 34*p + 27. Let l(z) be the first derivative of -17*z**2\/2 - 14*z + 13. Let y(n) = -11*l(n) - 6*r(n). Differentiate y(q) with respect to q.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0013667997 rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*f - 5*f**2 + 4*f**2 + 4*f**2 + (3*f - 5*f + 0*f)*(-5*f + 2*f + f) - 2*f**2 + 5*f**2 - f**2.\nAnswer: 9*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -121\/655382 and -9\/655382?\nAnswer: 655382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 27 times -166311?\nAnswer: -4490397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -20, 5, -8, -2, 617.\nAnswer: -20, -8, -2, 5, 617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in 61, 35, -7\/6, -11, -1, 5, -4?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**2 + 7. Let a be c(0). Suppose 6*b - 73 = -a. What is the third derivative of -b*w**2 + 13*w**2 + 7*w**2 + 2*w**5 wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -59*t**2 + 28*t**2 - 129*t**2 + 296*t**5 + 52113*t - 52113*t wrt t.\nAnswer: 17760*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = n**2 + 30*n - 1003. Determine r(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2158679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + j - 731 = 0, 0 = 4*t + 3*j + 96 - 683. Let y be (68 + -65)\/(3\/4). Suppose -t = y*s - 622. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: a50b (base 14) to base 8\nAnswer: 67417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 - -6.5. Let u = j + -2.5. What is the second smallest value in -0.2, u, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/((30\/5)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.91 - 0.91. Suppose 138 - 34 = -2*o. Let g be o\/(-624)*((-3)\/(-2) - 0). Is g at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -2, 56, 154, 292, 470, 688?\n\"Answer: 20*a**2 - 2*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 + -11 - 3) + -5 + 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 203846 and 6286?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -22, 0.1, -5, -0.4 in descending order.\nAnswer: 0.1, -0.4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 2*t**2 - 4. What is the remainder when v(-4) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -481*s + 486*s + 5*n = -55, -3*s = -4*n + 19 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1348 + 1348.612. Let l = -1.388 - t. Let i = 1 - 6. Which is the nearest to l? (a) 4 (b) -2\/13 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**2 + 24*n + 79. Let m be l(27). Let f(w) = w**3 + 4*w**2 + 4*w + 4. What is f(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 233 + -234. Let b(u) = -u**3 - u**2 - 1. Suppose 25 = 5*m - a, m + 4*a - 13 = 13. Let v(k) = -7*k**3 - 12. Let g(t) = f*v(t) + m*b(t). Calculate g(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r + 213 = -3*n + 212, -5*r + n = 25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-6))\/(3\/(-3))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -668 - -712. Suppose 0 = n + 5*q - 15 - 25, -5*n + 269 = 2*q. Let i be n\/t*8*1. Calculate the highest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 119*m - 10. Suppose -o + 3*r = 2*o + 12, 2*r = 3*o + 13. Let p(v) = 79*v - 7. Let q(n) = o*a(n) + 7*p(n). Is q(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 482968, 965607, 1448236, 1930849, 2413440, 2896003, 3378532, 3861021?\n\"Answer: -l**3 + l**2 + 482643*l + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g + 19786 = -13*x + 19549, -2*g = -4*x - 70 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3.5036639 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -51 - -53. Let d be l\/(-9) - 176\/18. Is 4\/d + (-318)\/(-10)*13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12177 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 49853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -33643 + 33645. Factor 32\/3*n - 26\/3*n**v - 2.\nAnswer: -2*(n - 1)*(13*n - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 68, 73, 80, 89, 100, 113?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -1763, 2, -26 in decreasing order.\nAnswer: 2, -26, -1763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 150152104 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 17, -2, -0.1094 in ascending order.\nAnswer: -2, -0.1094, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -97152609.52 + -23554?\nAnswer: -97176163.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the first derivative of z**4\/4 - z**3 - 3*z**2\/2 - 4*z + 10. Let o be l(4). Suppose -3*u + 0 - 3 = o. Is u <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10*-2.4179.\nAnswer: -24.179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-37 - (-55 + 21)) + (-1)\/((-5)\/16)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 49 = -3*y - 61, 4*y = -16. Let v = -47 - g. Solve -3*k + 8 = v*s, 5*k + 4 = 3*s - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 44 + -103012?\nAnswer: -102413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7918 + -7924. Let v(z) = 2*z**2 + 4*z + 1. Let x(h) = -2*h**2 - 5*h - 1. What is b*x(t) - 7*v(t)?\nAnswer: -2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = -0*s + 5. Suppose x - 9 = -2*g, x - 29 = -5*g + 5*x. Let b(m) = -1 + 2 - m**2 - g*m**2. Give b(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2446 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) -1\/8 (b) 0.08 (c) -1 (d) 2\/139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1339 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from snsngfixx. What is prob of sequence ns?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 + 8. Suppose -s - 2 = -4*b, 3*b - 3 = 2*s - m. Suppose 3*w - 12 = -w. Solve s*o = w + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 586 is divided by 118.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -34543 (base 6) to base 15.\nAnswer: -1709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-5*(-3*(sqrt(245) + 1 + sqrt(245)) + sqrt(245)))**2 + -4*(sqrt(5) + ((sqrt(20) + 4)**2 - sqrt(5)))*-5 + -2.\nAnswer: 26570*sqrt(5) + 767468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3.98 + -4. Suppose -2*r + 107 + 25 = 0. Suppose 61 = u + r. Which is the nearest to 1? (a) i (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*w - 9*w - 18 = 0. What is the units digit of -2 + -1 + (-3 - w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**3 - 252*o**2 - 498*o - 248.\nAnswer: -2*(o + 1)**2*(o + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*a**3 - 3 + 0 + 3 - 44*a**3.\nAnswer: -23*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3076 + 3082. Sort f, 11\/15, 1 in increasing order.\nAnswer: 11\/15, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 71334 is divided by 427.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -4 - 9*x - 2*x**3 - 11*x - x**2 - x**2 + 22*x. What are the prime factors of l(-3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-30)\/70 - (-146)\/14. Let a be m\/(-8)*(-8)\/2. Let z(p) = 8*p - 2*p**2 + 4*p - 5*p - 4*p**2 + a. Let j(t) = -t**2 + t + 1. Determine 5*j(n) - z(n).\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: (-120)\/(-204)*34 - -20\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62*h + 173899 = -19603. Let t(c) = -3121 + h + c**2. Let k(m) = -m**2 - 58*m. What is t(k(v))?\nAnswer: v**4 + 116*v**3 + 3364*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1005542 - 1?\nAnswer: 1005541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q when two letters picked without replacement from tqttqtqtqtqqqtqqqqtt?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w - 14 = 4*u, 16 = -5*w - 3*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2000)*2 - sqrt(20)) + sqrt(20)*-1*-4)\/(1*sqrt(40)*1).\nAnswer: 23*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(2\/5)*m**(-5))\/(m**(-2))**(-46))\/((m**(-2)*m*m*m)**(2\/9)\/(m**2*((m*m\/((m*m**(-4)*m)\/m))\/m)\/m)) assuming m is positive.\nAnswer: m**(-4132\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -33*y + 193.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -134801972, -134801973, -134801974, -134801975, -134801976, -134801977?\nAnswer: -134801978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-23*r + 13 - 13)*(-18*r - 3*r**4 - 79 + 79).\nAnswer: 69*r**5 + 414*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 100, 2\/13, 1\/4, -1\/7.\nAnswer: -1\/7, 2\/13, 1\/4, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 - 19*x - 75. Let v be r(-6). Let d be (-4)\/(-14) + (-4)\/14. What is the closest to -5 in d, 1, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 110 (base 9) to base 7.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add -14 and -5289.2288.\nAnswer: -5303.2288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -106200 divided by 62\nAnswer: -53100\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from prvrreevevevvel.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (y + 3*y - 5*y + (1 - 3 + 1)*(-1 + 1 - 2*y))*(-8 + 5 + 2 + 11*y**2) in the form h + r*y**3 + f*y + k*y**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12519, 25043, 37567, 50091, 62615?\nAnswer: 75139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1241 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 + -2 - (-26 + 19)) + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 4 = -0*k, 4*k - 176 = -4*g. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w, 1 k, and 1 o when three letters picked without replacement from okkwookkwkkk.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*p**3 - 2*p - 135*p**2 + 135*p**2 + 2*p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(1700)*-1 - (sqrt(1700) - (sqrt(1700) + -1 + -3)))*6 + (sqrt(1700) + 2*-1*sqrt(1700) + sqrt(1700) - sqrt(1700))*4*-3)**2.\nAnswer: -2880*sqrt(17) + 61776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -2*b**2 - 7*b + 11. Let t be z(-5). Put -2, 4, t, -1 in increasing order.\nAnswer: t, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/((-3)\/(-6))*2*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h**3 - 4*h**2 - 5*h + 2. Let s be j(5). Suppose -s*c + 86 = 4*b + b, 3*b = 4*c - 146. Calculate the greatest common divisor of c and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 107688 to the nearest 1000.\nAnswer: 108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9 - 13. Let y = 35 + -34.93. Which is the second biggest value? (a) -3 (b) y (c) -0.5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1987*m + 136410 = -1982*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -58557545 plus 3?\nAnswer: -58557542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(-1 + sqrt(13) + (sqrt(26) - -1*sqrt(26))\/sqrt(2)))**2 - (sqrt(13) - (sqrt(117)\/(2*sqrt(9)))**2)*-5*-2) + -4.\nAnswer: -226*sqrt(13) + 8553\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 929*i + 8. Let b(f) = 695*f + 6. Determine 11*b(k) - 8*u(k).\nAnswer: 213*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m**3 + 17*m**2 - 24*m - 14. Let g be p(-19). What are the prime factors of 0\/((-5)\/(25\/(-20))) - g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 11*x**3 + 2*x**2 - 3*x + 3. List the prime factors of l(2).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -1101000110010000 (base 2) to base 14\nAnswer: -157a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 863304*n**3 + 0 - 863316*n**3 - 1 + 1.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5499 and 1034?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes before 3:16 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0002774265 to 6 dps.\nAnswer: -0.000277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 26344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 24085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4.160104 kilometers in nanometers?\nAnswer: 4160104000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y + 1 + 1 - 1. Let a(t) = -19159 + 8*t + 38307 - 19153 - 7*t. Calculate -a(l) - b(l).\nAnswer: -2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + 2*y = 7, -4*y + 27 = 2*f - 23 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 80924 + 915. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 944011.2cm?\nAnswer: 9440.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -804 - -807. Suppose -3*d - t*u + 577 = 88, -u = -3*d + 473. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c**2 - 9*c - 14. Let m be g(-6). Suppose 10*q - 12 = m*q. Find the second derivative of -8*b**4 + 22*b**4 - 26*b**4 + q*b wrt b.\nAnswer: -144*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 164.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 - 1.5. Let w = 0.978 + -0.578. Let n = -0.97 - -1. Put c, w, n, 2 in descending order.\nAnswer: 2, c, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 24 = 26*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1009547 less than 1009548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be 8\/(-10) + (-507)\/(-65). Suppose -9*l + 382 = -b*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**3 + 5*y**2 + 2*y + 5. Let l(c) = c**3 + 7*c**2 + 8*c + 7. Let p be l(-6). Let j be h(p). Let f = -20 + 17. Put f, j, 1 in descending order.\nAnswer: 1, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1 - (-169292)\/72 - (-18)\/81. Let r = -2398 + j. What is the common denominator of r and 71\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m = -3*s + m + 6, -3*m - 2 = -s. Suppose -2*z + 847 = 3*i, -s*z - z = -3*i + 822. Is 43 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:53 PM and 5:28 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -16*m**2. Let d(f) be the second derivative of 2*f**3\/3 + 57*f. Determine v(d(p)).\nAnswer: -256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 217 = -295. Let d = 105993 - 105881. Calculate the greatest common divisor of a and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-1*1)\/(9\/(-297))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z + 1. Suppose 9 = 5*t - 41. Suppose 2*f + 5*y - 29 = 0, -2*f + 5*y + t = -9. Let p be f\/5 - (-4)\/(-10). Let x(k) = k - 2. What is p*x(j) + 4*b(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w be 30\/7 - 4\/14. Suppose -186 = -5*i - 2*n + 5*n, -w*i + 171 = 5*n. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 42\/4*-120*(-193)\/(-121590).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**3 - 7*i**2 - 558*i - 5642. What is g(-10)?\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 minus -44748?\nAnswer: 44747.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -z + 3*b - 19, -2*z + 2*b - 18 = -0*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j + 2 + 8. Let a = j - -4. What is the derivative of -15*b**2 + a - 3 - 4 + 7*b**2 wrt b?\nAnswer: -16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -13, 398, 1085, 2048, 3287?\n\"Answer: 138*l**2 - 3*l - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5193*t**4 + 2057*t?\nAnswer: -62316*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -13*d + 373. Give v(28).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + u + 9897 = 0. Suppose 3*b + 595 = -2*k, 4*k - 623 = 3*b - k. Let t = u + b. What is t rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 + 11 + 33 + -14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the first derivative of 1157*c**5\/5 - 4298*c**3\/3 - 2723. Find the third derivative of x(p) wrt p.\nAnswer: 27768*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -75988 divided by 484?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 57510 and 4770.\nAnswer: 3048030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (t - 4*t + 4*t)*(-620*t + 10*t - 78*t - 661*t)*(-t + 1 - 1).\nAnswer: 1349*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((h*h**9*h)\/(h\/(h*h\/(h*h**(2\/9)))))**0)**(-32))**(-5\/19) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3900394\/3 or -1300132?\nAnswer: -1300132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 46 = -136. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (288 - 114) + -129 + 0 + (0 - 2) + 0.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -31731254521 - 0.48.\nAnswer: -31731254521.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -162 = 39*z - 12*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 divided by -503.\nAnswer: 14\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be (130\/(-78))\/(1\/321). Let d = 570 + y. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 84861.\nAnswer: 3, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -553*b = -549*b - 12. Let x(p) be the third derivative of 0 + 4\/3*p**b - 7\/120*p**6 + 0*p**4 + 0*p + 8*p**2 + 0*p**5. Differentiate x(n) wrt n.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d\/d**5)\/d**4*(d**(-1\/2))**(-45) assuming d is positive.\nAnswer: d**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 555 and 3905?\nAnswer: 433455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(68) - ((1*sqrt(68))**2 + sqrt(68))) + sqrt(68)\/(2*sqrt(4)) - (sqrt(68) - (sqrt(68) - (sqrt(68)*-1 + sqrt(68) + 4))).\nAnswer: -72 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 4*y + 4 + 4 + 2*y**2 - 6. Let u be p(-3). Find the common denominator of -79\/8 and (-135)\/48 + 6\/u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 99959*h - 299878. Calculate a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 207 + 694. Suppose 2*y - x = y + v, 4*y - 5*x - 3606 = 0. Suppose 696 = 5*b - y. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -205807*d. Let j(s) = 17*s**2. Give b(j(a)).\nAnswer: -3498719*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j**2 + 7*j + 4. Suppose a = 14 + 1. Suppose -18 = -w + a. What is the remainder when w is divided by m(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2 + -3 + 1)*-1. Suppose 4*u - 5*l = -54 + 17, y = 3*u - 5*l + 34. What is the remainder when 8 is divided by 21\/12 + u\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27947 is divided by 4657.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 0 + 5)*(-19*h**2 - 69*h**2 + 6*h**2) to x*h + d + t*h**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -204*t - 13604. What is c(-70)?\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -20017 divided by 1?\nAnswer: -20017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*y = -15*y - 10. Let d = y - -3. Solve 3*i - w + 0*w - 1 = 0, 5*i + d*w = 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 981797220.\nAnswer: 2, 3, 5, 37, 49139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -67 (b) -0.3 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 20172 and 636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -32*n + 47*n - 465. What is the remainder when n is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 678?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -44.924028 + -38.\nAnswer: -82.924028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2 (b) -0.07573 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 90701*q + 464057 with respect to q.\nAnswer: 90701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (0 + sqrt(52) + -1 + sqrt(52))*-2 + 3*(sqrt(468) + 2) + -3.\nAnswer: 6 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*((q*q**2\/q)\/q)\/q)\/(q\/q**(-1))*((q*q\/q**7*q)\/q)\/q**1 assuming q is positive.\nAnswer: q**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6.22 - -32.88. Let c = b + -44. What is c rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/5 of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2, 1, -7, -5416, -0.06, -0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -15 - (5 + (4 + -4 - 6) + -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/(-9) - (-1526)\/63. What is the greatest common divisor of o and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -122311003 (base 4) to base 8.\nAnswer: -326503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 2*g - 32, -g + 16 = -0*r - 2*r. Let t be (-3 - g\/(-4))*17. Let q = 5 + t. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (-452)\/7910*-14*4\/(-40)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -8136c (base 13) in base 12?\nAnswer: -b1a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2207637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -3\/14, 0.28, -1, 0.4, 2\/47, 1\/7?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*z + 0*z + 5*z)*(3*z - 4*z + 6*z) + (2*z + 0*z - z)*(3 - 3 + 1)*(-z + 4*z - z).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 295400177 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9)\/11 - -1) + (-10504)\/1144?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {v: 3, d: 1, f: 4, u: 10}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -52*h**4 - 9*h**3 - 9*h**2 + 3*h + 45. Let i(w) = -w**3 - w**2 + 1. Let y(p) = 9*i(p) - n(p). Find the second derivative of y(z) wrt z.\nAnswer: 624*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*j**2 - 3790*j - 5*j**2 + 3797*j + 3*j**2.\nAnswer: -8*j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 5*j**2 - 108*j + 3530. What are the prime factors of u(48)?\nAnswer: 2, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 75 = -g. Suppose -3*m = 2*m - 5*u + 25, -3*m + g = 5*u. Suppose 42 = 3*c - m*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -118*i**4 - 3743*i wrt i.\nAnswer: -1416*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 242*l**3\/9 + 1100*l**2\/3 - 576*l - 15552.\nAnswer: 2*(l - 6)*(11*l + 108)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -1.2, 20820, -4, -0.1 in descending order.\nAnswer: 20820, -0.1, -1, -1.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 187834061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 54343771 is divided by 54343767.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 14845764 to the nearest 10000.\nAnswer: 14850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*a*d**3 + 6907*a*d**2 + 19*a - 66862574*d**3 wrt a?\nAnswer: -2*d**3 + 6907*d**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1 - -7. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**2 - 21*t + 4. Let r be w(-21). Which is the smallest value? (a) 3 (b) r (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(40)\/sqrt(5) + (2*sqrt(6))\/sqrt(3) + -5*((1*sqrt(6) + sqrt(6))*5 + sqrt(6))\/sqrt(3).\nAnswer: -51*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (-3 + -2*sqrt(1728)*-2)*3*-6)**2 + 2.\nAnswer: -200448*sqrt(3) + 8961318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = 23*d - 102 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -329*l + 124*l + 44299 - 44303 - 435*l to the form j*l + h and give j.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-2\/7)*w\/w**5*w)\/((w**(-4)*w*w)\/w*(w\/w**(-5\/4))\/w) assuming w is positive.\nAnswer: w**(-43\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 41 + 13 = -2*b, 2*b - 3*d = -7. Solve -5*c + 15 = 2*m - 10, b*m - 5 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 831*l - 65135 = -21923 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56255337?\nAnswer: 3, 2083531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -2*t**3 - 2*t**2 + 3*t + 3. Let v be i(-2). Let y = v + -7. Let g = 8 - y. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 16*h*n**2 + 105*h*n + 2*h - 323129 wrt n?\nAnswer: 32*h*n + 105*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2533 and 718031?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/18 and ((-151)\/(-54))\/(3\/9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 539 minutes before 10:24 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - k = -413, 0 = d - 4*k + 1 - 100. Let n = d + -38. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1\/2)\/(-3*(-1)\/(-36)). Let n(b) = -2*b + 3. Suppose 3*x - 41 + 14 = 0. Suppose -x = -l - 43. Let k(w) = 11*w - 17. Calculate l*n(j) + q*k(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.7273 and -14917436.\nAnswer: -14917436.7273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s**(1\/5)\/s)\/s)\/(s*s\/(s\/s**(5\/4))))**(1\/6)\/((s**(-1))**32\/((s\/(s*s*s**(2\/5)))\/((s\/(s\/(s*s\/(s**5*s)*s)))\/s))) assuming s is positive.\nAnswer: s**(1357\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.166 (b) -1\/2 (c) 1\/4 (d) -5 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -9 - -5. Let w = -4 - d. What is the closest to w in -1, 3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -406 - 62. Let t be j\/728 - (-4)\/32. Let c = -0.16 + -0.04. Sort t, c, 1\/4, 1\/10 in descending order.\nAnswer: t, 1\/4, 1\/10, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 9 + 569?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 120? (a) -11 (b) 4 (c) 0 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the second derivative of w**5\/20 - w**2\/2 + 24*w. Let o(r) = 7*r**3 + 2*r**2 + r - 6. Determine -o(v) + 6*t(v).\nAnswer: -v**3 - 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the third derivative of y**4\/24 + y**3\/3 - 5*y**2. Let m be w(-1). What is the highest common divisor of 4 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42902294599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 83 - 79. Let k be (-1)\/(2*x\/(-40)). Let n(y) = -y**3 + 6*y**2 + 8*y - 6. Let r be n(7). Solve 6*h = 5*g + 2*h - r, 9 = 4*g + k*h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 44 = 38. What is the greatest common factor of f and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 846965535\/27 + 7\/63. Suppose -1030906 - m = 6*z. Round z to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 - 58*w + 7 + 522*w - w**2.\nAnswer: -w**2 + 464*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**2 + 2*d + 1. Let h be a(5). Let z(x) = -x**2 - 13*x + 18. Let t be z(h). Solve -t*p = -15 - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2 - (12 - (3 - 2)). Let o be (-3)\/2*(z - -11). Suppose n = -o*r - n + 37, r - 5*n - 18 = 0. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.06 or 0.139?\nAnswer: 0.139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i. Let s be 5\/3 + (-2)\/(-6). Let q(c) = 1 + 3 - s. Let h(x) = -o(x) + q(x). Find the first derivative of h(j) wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 62 minutes after 5:01 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 620 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 6910 by 2.\nAnswer: 3455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 115361398.\nAnswer: 2, 137, 241, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 + (1 - 2) + 3. Let v = -488 - -971. Let b = v - 473. Solve z - b = -2*a + 4*z, n*a = 4*z + 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-3\/7)\/n*(n*n**7)\/n*n**(-1\/3)*n**1\/n)\/((n**0\/n)\/n*n*n**(1\/6)\/n*n**(-2)*n**(-2\/9)) assuming n is positive.\nAnswer: n**(1171\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 9067087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2.7 and 1.46?\nAnswer: -3.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -31.95 - -1.95. Let g = 29.8 + v. What is the closest to g in 0.5, 4, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 2\/14563?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = -88 + 425. List the prime factors of y.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49 = 4*l - 75. Let i be (-246)\/(-18)*6\/1. Suppose -l - 12 = -k + 2*d, 2*k - 2*d - i = 0. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-7 + d**2 + 7)*(-33 - 25 + 60 - 17*d) to v*d + x*d**2 + b + m*d**3 and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -2328 - -2285 - (3 + 12)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from abaofo. What is prob of sequence aoa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**3 + 3*c**2 - 4*c - 12. Calculate t(-3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 24, -0.2, 12.1, -5, -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-60)\/(-36))\/(35\/(-2)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 23236 and 278204.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 781*z - 24783 = -456*z - 6228 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 2*n. Suppose -3*a - a + 20 = 3*o, 4*a + 4 = -o. Let p(b) = -3 + b + 3. Let r(k) = o*p(k) - 5*l(k). Let i(x) = -15*x**2. What is r(i(h))?\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 2*v - 421. Let b(k) = -k + 427. Calculate -3*b(l) - 2*d(l).\nAnswer: -l - 439","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 274*f + 55350. Give u(-202).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -17488, -3, 0, -7, -2 in increasing order.\nAnswer: -17488, -7, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 120 = -m. Suppose -7*g + m = -3*g. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z + 205 = 5*k - z, 3*z + 15 = 0. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 11*x**4 - 2*x**3 + 9*x**2 - 31*x - 420751?\nAnswer: 44*x**3 - 6*x**2 + 18*x - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -22 - -110. Let b = 34 - 85. Let v = b + p. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -210 - -210.000216. What is j rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 405, 836, 1303, 1812, 2369?\nAnswer: 2980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence thpy when four letters picked without replacement from {h: 2, p: 1, t: 1, d: 1, y: 1, u: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v be 30\/75 + (-6)\/9 + 6239\/(-6885). Is v at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 2131317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -10*k - 159. Give n(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.15324 + -427.\nAnswer: -428.15324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 + 10. Let l be (h\/22)\/(2\/(-4)). Is l at least as big as -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -366458, -1465899, -3298304, -5863673?\nAnswer: -9162006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -2*q**2 - 9*q + 40. What is u(-10)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.8 - -1.9. Which is the nearest to g? (a) 5 (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 101111 (base 2) to base 16.\nAnswer: 2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (586\/879)\/((-5)\/(-345)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2 + 1)*(3 - 3). Let t = 11 - 11. Is k != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 1936263*5\nAnswer: 9681315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 6*r - 3*z + 183 = 0, -5*z + 95 = 2*r. Let g = r + -40. Factor 20*c**3 - 31*c**3 + 19*c**3 - g*c**2 - 3*c.\nAnswer: c*(c - 1)*(8*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 69 + 10 + -32 + -18\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**3 - 8*i**2 + 15*i + 13. Determine v(-9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = -3*x + 2*g, 80*g + 3 = 79*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = y - 5*g, -39 = 3*y + g + 3*g. What is the units digit of (y\/(-6))\/(5\/30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -33*y**5 - 6*y**2 + 45*y + 6. Let t(p) = p**2 - p - 1. Let h(f) = -j(f) - 6*t(f). What is the second derivative of h(x) wrt x?\nAnswer: 660*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the third derivative of -h**5\/2 + 43*h**3\/6 + 34*h**2. Find the first derivative of y(t) wrt t.\nAnswer: -60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.754 and 0.34?\nAnswer: 0.25636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 41695, 41703, 41711?\nAnswer: 41719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 5 (b) -0.3 (c) 1\/59 (d) 0.2 (e) 0.042\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -22 = 9*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -713, -1418, -2107, -2774, -3413, -4018, -4583?\n\"Answer: y**3 + 2*y**2 - 718*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03658325 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0 + 2\/(-12))*-2. Let q = -2.14 + 1.11. Let j = -0.03 - q. Sort j, 0.3, v in descending order.\nAnswer: j, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = f + 1, -3*f = 11*h - 16*h - 19. Put -4, 1, f, 0 in descending order.\nAnswer: f, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 11) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w**2 - 8*w - 8. Let g be n(-6). Suppose -9 - 3 = -g*z. Is 32 - (-3 - (-4 + z)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + (-20 - (-41 - -22))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 107989678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1074767?\nAnswer: 23, 83, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 141996 + 1162?\nAnswer: 143158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 227276?\nAnswer: 2, 7, 8117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(-2*(sqrt(66) - ((sqrt(66) - (4*sqrt(66) + sqrt(66))) + sqrt(66))) + sqrt(66)))\/(sqrt(18)\/sqrt(192)*-5) + 2.\nAnswer: 2 + 336*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -14882110 + -0.111671.\nAnswer: -14882110.111671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*y - 4*y. Suppose y = s - 5*s + 696. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 96, 3\/8, 5, 3, 7 in decreasing order.\nAnswer: 96, 7, 5, 3, 3\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.263 + -0.137. Let a be 2\/(7 - 1)*1. Let u = 5 - 5.5. What is the closest to a in c, 2, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 130069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 1\/24 (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 23479459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 65 = -63. Let n = y + 16. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 less than -14016?\nAnswer: -14019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 704 + -703. Sort 3, 37, u in decreasing order.\nAnswer: 37, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 - 129 = -5*o. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = b**3. Let o(l) = l**2 - 30*l + 5. Let p be o(30). Let n(a) = -3*a - 14*a - p*a**3 - 3*a**2 + 16*a + a**2. Give n(w) + 2*z(w).\nAnswer: -3*w**3 - 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 11090.29 to the nearest 100.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -3*c**2 - 2*c. Let d(p) = p**2. Suppose -22 = 15*g - 7. Calculate g*h(f) - 6*d(f).\nAnswer: -3*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1257 or -782?\nAnswer: 1257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 257412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 858.4033 litres in millilitres?\nAnswer: 858403.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 13340064719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 22883 and 3736.\nAnswer: 183064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = 5*u + 460, -1329 = 3*z - 3*u + u. What is z rounded to the nearest 10?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 212 (base 3) to base 8.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**6*(g**(-3\/5)\/g*g)\/g*(g**(-3)\/g)**36 assuming g is positive.\nAnswer: g**(-698\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8, 9, 24, 59, 120?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.2549000876 - 0.2549. What is y rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3 - -5) + -1 - 1) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 254979883?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 142932, 285946, 428960, 571974?\nAnswer: 714988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -21 - -21. Suppose 4*x + c*x - 152 = 0. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 99 + 13919. What are the prime factors of x?\nAnswer: 2, 43, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5 + 2*n**4 + 11 + n - 8 - 8*n**3 + 27*n**3 as v*n + y*n**2 + h*n**3 + w + i*n**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 0.3, 7\/3, -0.5, 38?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -264*y - 39*y - 156*y - 5049 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 20 + 2b?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2870472005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -17*s + 1. Let o be l(4). Let p = o + 103. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -50 (base 6) in base 16?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 33331 (base 4) to base 9\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -3371, -6751, -10137, -13529?\n\"Answer: -3*t**2 - 3371*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 24262 and 9584.\nAnswer: 116263504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 3*c**2 + c + 1. Let r be q(-4). What is the units digit of (-2 - r\/(-6))*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 divided by 263047.\nAnswer: -9\/263047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-28 + 30)*(1 + (-5)\/(-2)). Let m(s) = -3*s + 22. Let j be m(f). Put 0, j, 8 in descending order.\nAnswer: 8, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 10 = -3409*o + 3407*o, -8*o - 2*r - 28 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 243\/2 - 1217\/10. Let i = -257\/21 - -88\/7. What is the closest to i in b, -12, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 755009648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1027200, 2054654, 3082108, 4109562?\nAnswer: 5137016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b = -4*h - 14, 2*h = 4*h - 2*b + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 170 - 162. What is the highest common divisor of s and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 20551.000014479 + -20551. What is a rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (30 - (34 + -20)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - 44 = -2*d + 4*m, 0 = 3*d - 4*m - 60. Suppose 0 = -4*l - d, -116 + 2678 = -2*z + 3*l. Let b = -730 - z. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -275*t + 432797 + 3727706 - 823653. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-716)\/(-17721))\/((-2)\/9)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 - -10000111001?\nAnswer: 10000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be (4\/6)\/((-78)\/(-78)). Solve -16\/3 - 4*a**2 + 8*a + t*a**3 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*i**2 + 4*i**2 - 4*i**2 + (6*i - 2*i + i)*(58*i + 21*i - 7*i) + 0 + 0 - 2*i**2.\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - r = -30444, 5*c + 12*r - 38070 = 7*r. Calculate the greatest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(128\/(-50))*((-259)\/185)\/((-7)\/(-6)).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 6775024 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 1706.125g?\nAnswer: 0.001706125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve v - 18 = 4*v + 15 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -2*q. Let j(m) = -145*m**2. Calculate j(u(r)).\nAnswer: -580*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 4*m - 3 + 1 = 0, 5 = -5*t + 5*m. Let n(j) = -j**3 - 3*j**2 - j. What is the units digit of n(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 36 = -4*c, 0 = -c + 3*n - 6*n + 16. Suppose 4*d - c = 2*d. Suppose -d*o - 47 + 212 = 5*g, 2*o = g - 21. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1136\/162911 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c + 6*c - 3 + 0. Let m(l) = -4*l + 2. Let s(u) = -2*j(u) - 3*m(u). Let p(r) be the third derivative of r**4\/6 - r**2. Determine p(s(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5969.\nAnswer: 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(1*(sqrt(5) + -1))**2.\nAnswer: -12*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 35745512824 less than -133?\nAnswer: -35745512957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14 + 19 - 26 + 0*s**3 - s**3 + 2*s**3.\nAnswer: s**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3832 divided by 46?\nAnswer: 1916\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/64 of a milligram in nanograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -63 + 54. Which is the third biggest value? (a) -0.03 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4348153?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 20 = -5*s, -3*r + 10 + 1 = -2*s. Let a = -6 - -11. Is s greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i\/(i**(-5\/6)*i))**(-1\/29)*i**21*i\/(i\/(i*i**(4\/21)*i)) assuming i is positive.\nAnswer: i**(28169\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the first derivative of -n**2 - 1. Suppose -5*m = -0 - 20. Let f(x) = -3*x. Calculate m*f(l) - 5*q(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 119\/1848834 and 151\/1212.\nAnswer: 373464468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 4*i - 3 = -8*i, -3*i = w - 11. Sort w, 0.4, 2\/3 in decreasing order.\nAnswer: w, 2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1721950 to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2162 - 20707 = -1067*m + 10264 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 109 + -64. Let f = t + -37. Which is greater: f or 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 556 = b, -2*b + 146 = -78*r + 79*r. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3092)\/43 - 1484\/15953.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 62*h. Let k(o) = -7*o. Give k(y(z)).\nAnswer: -434*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -29123.019 + 29150. What is h rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 2733, 10942, 24627, 43788, 68425, 98538, 134127?\n\"Answer: 2738*w**2 - 5*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6 - (-3 - (0 + -6)). Suppose 0 = -3*c - 2*d + 15, c - b*d + 12 = 6. Solve 3*w + 0*w - c*o = -15, 5*w + o + 7 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13714?\nAnswer: 2, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**3 - 8*n**2 + 14*n - 9. Let b be i(6). Let g(u) = 13 + b - 9*u + 8*u + 2. Let a be g(16). Solve 0 = -p - a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -31\/200 and 5 - (3\/360)\/((-110)\/(-61182)).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -90908 (base 10) to base 8.\nAnswer: -261434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 34456 less than 34458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -204*l**3 - 2*l**2 - 629*l - 2244232 wrt l.\nAnswer: -612*l**2 - 4*l - 629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -24.5737907 to three decimal places.\nAnswer: -24.574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0418936661 to 3 decimal places.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 4*y = -66, 3*a + 3*y + 164 = 8*y. Let l be 11 + 272\/(-16) - (50 - -1). Is a at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 - z + 0 + (0 - 1 + 4)*(-z + 3*z + z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 2*v - 8 + 2 = 0, 3*o = v + 17. Solve 9*k = o*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 5\/2*(-6)\/((-60)\/2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = i**3 + 5*i**2 + 3. Let a be l(-5). Let m be 2\/a*36\/(-8). Sort 3, -1, m in descending order.\nAnswer: 3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*k + 3*k = -35. Suppose -19680 = k*s - 25*s. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the second derivative of -7*x**6\/720 + x**4\/12 - x. Let v(l) be the third derivative of i(l). What is the tens digit of v(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 5*f**2 - 5. Let r(o) = o**3 + o**2 - 1. What is -n(k) + 5*r(k)?\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 82\/2013 and 59\/62769?\nAnswer: 690459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 2, v: 2, e: 4, q: 1, n: 1, i: 2}. What is prob of picking 2 v and 1 n?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 3*t**2 + 11*t - 7. Let p be n(-4). Let y = 35 - p. Let j = y - 33. Solve -j*v + 4*v + d = -4, 0 = 3*d + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 66260497.\nAnswer: 66260497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2416 + 3079. List the prime factors of y.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q + 15, q = 2*y + 6*q + 3. Let b be y\/4 - 3\/(-6). Suppose -6*a = -b*a - 16. 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 next in 1071, 1052, 1041, 1044, 1067, 1116, 1197, 1316?\nAnswer: 1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -5*y**3 - 5*y**2 + 16*y + 17. Let l be c(-1). Do l and 8\/21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.1 or 3308.352?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2.33 - -0.42. Let k = -0.89 - f. Round k to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -6*i + 25 + i - 49 + 26. Let p(s) = 4*s - 3. Give -3*p(q) - 2*t(q).\nAnswer: -2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 2*x - 4*x - 75*x**2 + 73*x**2 - 3. Let q(z) = -3*z**2 - 3*z - 4. Determine 4*g(v) - 3*q(v).\nAnswer: v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d - 39. Calculate g(-26).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -0.1, 4, 1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*b = -42 + 32 - 197 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s = 57 - 72, -24 = -3*j - 3*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -387\/608 + 1\/6688. Does l = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert 19015.04km to nanometers.\nAnswer: 19015040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 4*t**2 - 444*t = 0.\nAnswer: 0, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 3590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 331717901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 616 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 171955 and 2310?\nAnswer: 11349030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -1124\/307 (b) 2\/167 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -89*z = -306 - 228. Let m(f) = -19*f - 1. Let s(r) = -19*r - 1. Give z*s(i) - 5*m(i).\nAnswer: -19*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve s + 307*m - 1 = 306*m, 0 = 4*s - 5*m - 31 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -352 - -335.9. Let h = y - -0.3. Round h to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000091723596 rounded to seven dps?\nAnswer: 0.0000917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 113101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*i - 5*i - 41. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -37 - -87. Suppose -3*m + 2*q + 0*q = -c, 56 = 3*m + q. What is the least common multiple of 5 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is b in b**4 - 265*b**3 - 1893*b**2 - 2987*b - 1360 = 0?\nAnswer: -5, -1, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1*708\/3 - (4 + -2). What is the highest common factor of 72 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/10 of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 241 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -151 + 222. Suppose 2*p = 83 - x. Suppose 0 = -3*t + t + 96. What is the highest common factor of t and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 26 + 16 - (-268 - -289).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*g - 2*g + 3*g)*(-12346 - 112*g + 12346)*(g**3 - 4*g**3 + g**3).\nAnswer: -224*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 5*m**2. Let n(a) = 36 - 36 + a. Give n(r(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be (121\/(-22))\/(1\/(-10)). What is the derivative of -12*s - 5 + 17*s + 2 + o*s wrt s?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(3) + sqrt(192) + sqrt(12))**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - (0 - (-8 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lniniinlinn. What is prob of sequence niln?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide (546\/8)\/(10\/((-400)\/(-15)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 15*g - 34*g - 131*g**2 - g**3 - 88 + 3*g + 131*g**2 to l*g + t + d*g**2 + h*g**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/2)\/((-78)\/364).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine i, given that -i**3\/2 + 21*i**2 - 441*i\/2 = 0.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -7 divided by 74?\nAnswer: -7\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2*w**2 + 1)*((4*w + w**2 - 4*w)*(3*w - 2*w - 2*w) - 2*w**3 + 0*w + 0*w - 4*w**3 + 0*w**3 + 2*w**3).\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 22 + -20. Let q(k) = 7*k**3 + k**2 - 2*k - 1. Let c be q(s). Let n = c + 208. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 1 e when three letters picked without replacement from zbmmzxreebxx.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 4*z + 301683 = 0, -37*n + 241368 = -33*n - 4*z. What are the prime factors of n?\nAnswer: 3, 20113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/27216 and 29\/142128.\nAnswer: 1279152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = 10, 3*g - 58*x = -54*x + 20. Solve -3*j + 94 - 91 = g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-178)\/12)\/(8\/(-336)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(3\/4)\/(v*v\/v**4))\/(v\/((v**2\/v*v*v)\/v))**30)\/((v**(3\/10)\/(v*(v**1\/v)\/v))\/(v**(-3)*v*v**3)) assuming v is positive.\nAnswer: v**(669\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 19967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = 2*o - 12, -o + 5*o - 3*n - 24 = 0. Let m(c) = -c**3 + 13*c**2 - 16*c - 14. Let x be m(11). Suppose -x = -g + o. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 4800617303 and -1.68?\nAnswer: 4800617304.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1.2 - 1041265?\nAnswer: -1041263.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3388 + -10091\/3. What is the common denominator of -119\/228 and y?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -4, -3, 1, -5 in increasing order.\nAnswer: -5, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from llooollollollollll. What is prob of picking 2 o and 1 l?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of g + g**2 + 4*g**2 - 2*g**2 - 4*g wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 - 4)*(-8*g - g + 0*g) + (-2 + 0 + 0)*(-3*g - g + 2*g) + g + 3*g - g + 2*g - 1 + 1.\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 1787.3196 months to millennia.\nAnswer: 0.1489433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 44685 and 45.\nAnswer: 44685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -91772, -91758, -91746, -91736, -91728?\n\"Answer: -h**2 + 17*h - 91788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 530266?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x**1*x*x)**42*x**(-1\/4)*(x\/(x*x**(-1\/5)\/x))\/x)**43 assuming x is positive.\nAnswer: x**(144437\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -3 + -890187\nAnswer: -890190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**2 + 233028*s - 19567296.\nAnswer: -(s - 232944)*(s - 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + (285\/25)\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*y - 21 = -33. Suppose -4*x + 11 = n, -y*n + 3*n = 3*x - 3. Solve w - 2 = a, -4*w + n*w = -5*a - 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -19 - -21. Suppose 0 = t*i - 7*i. Solve -k + 0 + 5 = i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z + 1. Let p(x) = 3*x**2 - 8*x + 6. Calculate -6*o(y) + p(y).\nAnswer: 3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the second derivative of -s**8\/13440 - s**7\/5040 - s**4\/12 + s. Let q(c) be the third derivative of j(c). Factor q(f).\nAnswer: -f**2*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, x: 5, f: 2, v: 2, n: 6}. Give prob of picking 1 n and 1 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*2*(-1000)\/(-400)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1660 + 3387\/2. Let g = -34 + a. Which is smaller: g or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -3*g**3 + 3*g**2 - g + 1. Calculate x(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 40 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11 - -8. Let w(q) = -q**3 - 2*q**2 + q + 3. Let x be w(h). Let v(u) = u**3 - 7*u**2 + u - 3. Let r be v(7). Solve x = -r*f - 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y such that 42\/11*y - 2\/11*y**2 + 4 = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 3 + ((sqrt(245)\/sqrt(5))\/sqrt(7) - -2*sqrt(252)) + 3)**2.\nAnswer: 286*sqrt(7) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 2*c - 20 = -4, 2*c = 4*m + 40. Let o = -6 - m. Let k(g) = 3*g - 2*g - g**o - g. Let t(i) = -i. What is k(t(l))?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 165381 and 7.\nAnswer: 1157667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -n**3*u - 351*n**2*u**3 + 4*n*u**3 - 143*u**3 wrt n?\nAnswer: -6*n*u - 702*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 5 + -1 + 4 + -6 + (12 - 7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 36\/(-126)*(-28)\/(-32)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1000\/(((-2)\/93185)\/((-168)\/(-420))). Round i to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3657941361?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1303 and 8.\nAnswer: 10424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the first derivative of 1\/2*d**2 - 1\/4*d**4 - d + 2 + 0*d**3. Let l(s) = -39*s**3 + 3 + 68*s**3 - 34*s**3 + 6*s - 10. Determine 6*j(p) - l(p).\nAnswer: -p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -26.1, 5, 0.4 in decreasing order.\nAnswer: 5, 0.4, -3, -26.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be (6 + 56)*9\/(-6). Let x = 16 - m. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 59, 119, 175, 227, 275, 319, 359?\n\"Answer: -2*l**2 + 66*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4\/2*2 - (-150)\/15. Suppose m = 5*f - 0*m - 10, -f + 2 = -4*m. What is the greatest common factor of d and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve v - 2*f = -5, 7*v + 4*f = 12*v + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 41*q**3 + 5*q**2 + 2*q + 6. Let f(o) = -40*o**3 - 4*o**2 - 3*o - 9. Determine 2*f(d) + 3*n(d).\nAnswer: 43*d**3 + 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 26*c + 11*c - 38*c - 6 as l + r*c and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j - 1. Let y(l) = l - 4. Suppose -2*d + 24 = 10*d. Determine d*m(q) - y(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 + -0.493.\nAnswer: 2.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 4*f + 3283 = 0, -2*b + 5*b + 5*f + 9863 = 0. Let n(v) = -5*v**2 - 21*v + 43. Let q be n(19). Let z = q - b. Round z to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 476 - 471. Suppose 25 = x*p, -2*p - 10840 = 4*c - 40038. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.19 plus 1454.67?\nAnswer: 1454.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 749557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out 94073267445 + 5.\nAnswer: 94073267450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -13 + 15. Suppose -i = -3*j + 9 + k, 0 = -3*i + 3*j - 3. Is i greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.56 take away 3849031.576?\nAnswer: -3849032.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -15 - -5. Let b = x - -5. Let v(w) = -5*w**2 + 12*w + 9. Let a(g) = -4*g**2 + 11*g + 9. Let y(o) = b*v(o) + 6*a(o). Determine u so that y(u) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - a = -72. Suppose 0 = -0*h - 4*h + 8. Suppose -4*w + h*w = -a. Solve -3*x - 1 = 2*i - 6*x, -3*i - w = x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2 + ((-9)\/15 - 8\/(-5)). Suppose -j*m = 4*h - 628, -h + 213 - 51 = 2*m. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -10833 = -10872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes after 8:05 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be 7\/(21\/180)*(4 - 768). What is z rounded to the nearest 1000?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 195 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 123377\/22 + -5609. Find the common denominator of (146\/(-9))\/(4\/(-12)*4) and k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 140 = 6*h + 5*g, 343*h - 340*h - 52*g - 80 = 47*g - 104*g for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-31)*n)**(-47))**(-2\/113) assuming n is positive.\nAnswer: n**(-2820\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -65434.67 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -n**2 + 4*n + 7. Let d be q(5). Suppose -3*w = 5*z - 20, -2*w = 3*z - 3 - 10. Solve h - 5*h = d*v - 24, -h = w*v - 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 4*w + w - w**2 + 2*w + 0*w**2 - 3. Let o be m(7). Let s = o + 20. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1739540*x + 2031584 wrt x.\nAnswer: -1739540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 33 = -9. Suppose -5*m = -17 + 22. Let u be -1 + m - (-5 + a)\/1. Let t(y) = -y**2 + 10*y + 5. Give t(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 57 + 41. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -c**5\/4 - 41*c**4\/2 + 135*c**3\/4 + 1120*c**2 + 3439*c + 2988 = 0. What is c?\nAnswer: -83, -4, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*c**3*p**2 + 2*c**3 - 21*c*p**2 - c*p + 13*c wrt p.\nAnswer: 8*c**3 - 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 50590 and 2560.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -1 - 15. Suppose -26 = -9*h + 22*h. Is i\/h - (-60 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 6140*x - 156475 - 47253 = -1136*x for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -3*n**2 - 2*n**2 + 0*n**2. Let g(v) be the third derivative of -v**5\/60 - 2*v**2. Give g(p(j)).\nAnswer: -25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8.3 + -8. Let r = -0.05598 + -0.00402. What is the biggest value in r, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2.91 - -2.8. Let k = -2.31 - x. Round k to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -81324*y**2 + 1296*y. Let r(m) = 628*m**2 - 10*m. Let n(t) = -5*f(t) - 648*r(t). Let w(h) = -2*h**2. Determine n(w(c)).\nAnswer: -1296*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, u: 2, j: 1}. What is prob of sequence un?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3020?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the first derivative of -z**4\/4 - 4*z**3\/3 + 7*z**2\/2 + 5*z - 12. Let q be m(-5). Put 3, -4, q in decreasing order.\nAnswer: 3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 203*z - 12 = 199*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -h**2 - 47*h + 708. Let u be n(12). Sort -1209, u, -2 in decreasing order.\nAnswer: u, -2, -1209","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -3*s + 65. Give x(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = k, -92373*d + 92369*d + 92 = k for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1965406.\nAnswer: 2, 982703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 16050 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 6*y**2 - 2*y + 0*y**2 - 5*y**2 + 4*y**2 in the form j*y + n + x*y**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1663511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 5474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*c*i**2*q**3 - c*i**2*q**2 + 16*c*i**2 - 33*c*q**3 - 6*c*q + i*q**3 wrt i?\nAnswer: -4*c*q**3 - 2*c*q**2 + 32*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*m**4\/5 - 2888*m**3\/5 - 48126*m**2\/5 + 30636*m = 0 for m.\nAnswer: -111, -23, 0, 30\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -4*(-848)\/(-2112)*33\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = 2*n + 28, 4*h - 5*n = h + 7. Solve 5*j + 4*g = 9, 3*g + 2*g - h = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 127, -18, -0.3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 121977?\nAnswer: 3, 13553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/5 of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-4 + 7*345\/525)\/(11\/(-990))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 59 minutes before 2:13 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, y: 1, s: 2, z: 4, p: 1}. Give prob of sequence zpsz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Total of -23 and -256.\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f**2 + 11054976*f - 77385028 = 0 for f.\nAnswer: -2763751, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 28 divided by 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1125713*q**4 + 2*q**2 - 949093*q.\nAnswer: -13508556*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 2*l**2 + 153512*l + 1. Let q(h) = -13*h. Give r(q(a)).\nAnswer: 338*a**2 - 1995656*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = -2*n + 11, m - 6*n = -4*n + 1. Solve m*i - 115 = -112 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 10*k**3 - 35*k**2 + 30*k - 14. Is m(10) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -12*d - 789 - 8931. Let v be 60\/d - 4048\/27. Is v > -148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 753 (b) -7 (c) 0.1 (d) -2\/13 (e) -3 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q**3 + 6*q**2 + 5*q + 5. Let i be d(6). Let z(r) = 1791*r - 46561. Let c be z(26). Solve -c*n + i = -12*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -3, 1038, 2 in descending order.\nAnswer: 1038, 6, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -769*w - 3840. Determine z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h be (8\/6)\/(2\/6). Suppose c - 4*s - h = -3*c, -c = s - 3. Suppose -3*f = -8*f. Solve 0 = -f*m + c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 23 - (-1 + 1 + -1) - (-678 - (422 - 1100))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -v**3\/7 + 59*v**2 - 43656*v\/7 + 208080\/7 = 0.\nAnswer: 5, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 2*o + 53 = -377, -o + 3 = 0. Is -215 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1973216 by 140944.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 23 and 2645.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -16 + 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c be (4 - -5 - 1) + -4. Let u = -1 + c. Let n = -106 + 112. Solve z = u*z + n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 2128213 = 4*i, -2*i + 635189 + 74202 = z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -144*2551\nAnswer: -367344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/16)\/(38\/(-152)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 11876 + 7957. What are the prime factors of m?\nAnswer: 3, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -28.4 + 28.9. What is the second biggest value in 345, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -55\/102732 and -37\/52?\nAnswer: 1335516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -329 divided by 323.\nAnswer: -329\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (23\/((-1725)\/(-200)))\/(2\/12)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 - 1 + 1)*(-3 + 1 + 4) + 1 + 7 + 6)*(-7*t - t + 6*t).\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1455 - 1455.15. Which is the third smallest value? (a) 1\/12 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2662120 by 100.\nAnswer: 133106\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 13 and 1638.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 4627, 9714, 15725, 23122, 32367?\n\"Answer: 77*q**3 + 4548*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/((8\/(-2))\/((-516)\/645) - (-15)\/(-2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.06? (a) 2343 (b) 11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 192991.32s?\nAnswer: 53.6087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.1253 - -0.1353. What is the fourth smallest value in t, -2, 0.5, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -73 - -67 - (-15 + 0 - 0) - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0 + 0 + (3 - 3) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1121, -2277, -3445, -4631, -5841?\n\"Answer: -f**3 - 1149*f + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = h**3 - 3*h + 5261. Let c be n(0). Suppose l = 5*q - 3*l - c, -2*l = 2*q - 2108. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b + 19. Let i be l(-3). Calculate the greatest common factor of i and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -11*c - 60*c - 2 + 73*c - 133*c. Let v(u) = -19*u**2. What is j(v(f))?\nAnswer: 2489*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-3*4\/36)\/((-5)\/(-60)*4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 2*r**3 + 142*r**2 + 401*r + 8634. Calculate w(-69).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 544 and 640.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -196644 divided by -2341?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -46*(115 + -117) - ((9 - 8) + (-6)\/(-2))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1333*j**3 - 1315*j**3 - 1302*j**3 + 3968*j**3 + 3*j.\nAnswer: 18*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 13*z - 506*z + 193*z as a*z + f and give a.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -840278, -840210, -840142, -840074, -840006?\nAnswer: -839938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -521*k**6 + 46*k**4 + 87530*k**2?\nAnswer: -62520*k**3 + 1104*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes before 7:35 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 109*d + 13. Let h be 2\/10 + 820\/25. Let n = h + -29. Is f(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 take away 737228758423?\nAnswer: -737228758422.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 6425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 1352.\nAnswer: -3\/1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31 - 33 - 24 + 28*k**3 + k**2 + 100 - 12.\nAnswer: 28*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 31 * -527068.6.\nAnswer: -16339126.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**3*k*k*k**1*k*k**(-7)\/(k*((k*k\/(k*(k*k**(-3))\/k))\/k)\/k))**(-2\/37) assuming k is positive.\nAnswer: k**(6\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55 - 59257 = -18*k. List the prime factors of k.\nAnswer: 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 18? (a) 2 (b) -661\/5 (c) -2\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-90)\/24 + 1\/(-4))*(-19)\/(-38)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -11431423 - 22?\nAnswer: -11431445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 83\/61488 and 31\/2916.\nAnswer: 4980528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 4*u = -319, -4*u = z - 80 - 21. Suppose -113*k = -z*k - 984. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 8508 and 95006?\nAnswer: 570036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 519752273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 52 + -126 - -187 - 122?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in -0.9, -7, -34, -8, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s**3 + 13*s**2 + 3*s - 21. Let j be a(13). Suppose -j*h + 11*h + 784 = 0. Let b = -1 + 24. What is the remainder when h is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10516?\nAnswer: 2, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11380 = -3*w - 2*p, -w - p + 2723 = -1071. Does 26 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 6, e: 2, a: 6, f: 2, j: 1, m: 1}. What is prob of sequence fe?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -1099000 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -42920 + 42896 = -4*p + 4*w, 0 = -5*p - 4*w - 42 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 52 or 1679\/32?\nAnswer: 1679\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes after 3:48 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33042163?\nAnswer: 7, 11, 429119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = 77 + -43. Suppose -l - 30 = o, 0*l - 2*o - 28 = l. Let x = c + l. Calculate the lowest common multiple of x and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Evaluate 1173\/(-138)*20\/(-1105)*(-4)\/(-4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**2 + 3*b - 3. Let a(q) = q**2 - 2*q. Let c = 7 - 5. Let n be a(c). Let k(s) = 4*s + n*s**2 + s**2 - 6*s + 2. Give -3*k(z) - 2*y(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -3*i**3\/2 + 17298057*i**2 + 34596117*i\/2 = 0. Calculate i.\nAnswer: -1, 0, 11532039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -81 * -642.\nAnswer: 52002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 218019907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**3 - 7*y**2 + 6. Let i be o(7). Let f = 4 + i. Solve 8*d - 3*d + f = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 267181853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1089 + -1950. Let u be (-1)\/(-4 + d\/(-216)). Suppose w - u = -3*w. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -42*b**5 + 269*b**5 + 37*b**5 - 2 + 2 - b**5 + (-5*b**2 + 0*b**2 + 3*b**2)*(-3*b**2 + 3*b**2 + b**3).\nAnswer: 261*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/2660 and -89\/39660.\nAnswer: 5274780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*-5*((sqrt(143) + -1*sqrt(143))*-1 + sqrt(143) + 5*(sqrt(143)*1 - sqrt(143)) + sqrt(143))\/((-1*sqrt(99)*-2)\/sqrt(9)).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.1 + -0.1. Let p(w) = 16*w + 513. Let r be p(-32). Let h be (r\/(-6)*-5)\/(81 + -76). What is the closest to g in -2\/9, h, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.792154 years in centuries?\nAnswer: 0.02792154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000752076 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -8*v + 6. Let r(o) = o - 1. Let w(s) = k(s) + 6*r(s). Suppose 9*q - 4636 = 8855. Let y(a) = 1555*a**2 - 4 + 4 - q*a**2. What is y(w(t))?\nAnswer: 224*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.4 - 1. Let l = -2 - -1.6. Which is the nearest to -0.1? (a) 4 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**3 - 33*c**2 + 32*c + 2. Let p be i(32). Let q(w) = -w**3 + 2*w**2 + w + 2. Let f be q(p). Solve -6*x - f = 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 755442 is divided by 497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 2 a, and 1 k when four letters picked without replacement from {s: 1, v: 3, k: 6, f: 4, a: 2, l: 3}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*b - 13 = 5*m + 33*b, -m - 6 = -3*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -26*r**2*z**3 - 1763080*r**2 - 18916447*r*z**3 - 3*r*z + 2*z**2 wrt r.\nAnswer: -52*z**3 - 3526160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n - 132 = 2*v, -772*v + 768*v = 7*n - 246 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -44\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:15 AM and 11:51 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*q + 4*r - 24, 1900287*r - 22 = -5*q + 1900283*r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 93 and 5177.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the third derivative of -l**3\/6 + 726*l**2. Let i(d) = -d. Calculate -2*i(o) + u(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1917 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 10 in 2\/7, -1\/2, 35.3, -1\/8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let -2*x**4\/5 - 914*x**3\/5 - 23856*x**2 - 652680*x = 0. Calculate x.\nAnswer: -210, -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add -0.05 and 3737122653.\nAnswer: 3737122652.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find z such that 5*z**3 - 2795*z**2 - 113625*z + 116415 = 0.\nAnswer: -39, 1, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/(-6)*(-113)\/((-282500)\/(-300))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -14 - 249?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -2*v + 29, -55 = -4*v + 9*d - 8*d. Solve 5*b = 2*b + 5*l - 17, l = 3*b + v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*r**4 - 36*r**3 + 12*r**2 + 100*r - 72.\nAnswer: -4*(r - 1)**2*(r + 2)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6516435053.\nAnswer: 17, 29, 13217921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-21))**27 assuming z is positive.\nAnswer: z**(-567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 241120 to the power of 1\/2, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 5*p**2 - 31555*p + 126140 = 0.\nAnswer: 4, 6307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 72 + 21690?\nAnswer: 21732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 533 + -158. Let x = p - 2621\/7. What is the smallest value in -5, x, -0.1, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**2 + 13*v - 8. Let n be f(12). Let j(u) = -u**3 + 5*u**2 + 8*u - 6. Let m be j(6). Solve -m*r + 2*r - n = 2*y, 4*y + 3*r = -8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 47056*u**2 + 1485*u - 1485*u.\nAnswer: 47056*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, -29, -2, -1, -4, -49 in ascending order.\nAnswer: -49, -29, -10, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -98696 + 196*u**2 + 49220 + 49476.\nAnswer: 196*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 3*g**2 - 403*g + 2430. Calculate i(128).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (24*(-230)\/(-2208))\/(1\/(-30))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6728231?\nAnswer: 6728231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1970121 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*b**3 + 96258*b**2 + 772326027*b + 3087764172.\nAnswer: 3*(b + 4)*(b + 16041)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = g**4 - g**2 - g. Suppose 0 = -2*r - 1 - 7. Let l(w) = 3*w**4 - 4*w**2 - 4*w + 2. Let c(h) = r*t(h) + l(h). Differentiate c(u) wrt u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 27971 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1281 + -1323. What is the closest to -0.5 in 4, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*k + 2*z - 9, -3*z + 5 + 0 = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (38336\/16772)\/(((-12)\/(-15))\/((-28)\/(-90)))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 3*q**2 - 201*q + 3530. Calculate k(33).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 85 divide 467755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 r, 1 b, and 1 j when four letters picked without replacement from {l: 2, b: 2, d: 2, j: 1, y: 3, r: 2}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the second derivative of -v**7\/70 + 13*v**6\/50 - 3*v**5\/10 - 6*v**4\/5 + 78*v. Suppose l(q) = 0. Calculate q.\nAnswer: -1, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10882.\nAnswer: 2, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -68\/3*n**3 + 0 + 0*n + 2\/3*n**5 + 0*n**2 + 10*n**4.\nAnswer: 2*n**3*(n - 2)*(n + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*c - 482 = 1485. Let y = -184 - c. What are the prime factors of y?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -19? (a) 223 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-2\/15)*x*x*x**3*(x*x*x*x**1*x)**(2\/7) assuming x is positive.\nAnswer: x**(661\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 5*q**3 + 80*q**2 - 161*q - 41. Let d(m) = 5*m**3 + 82*m**2 - 165*m - 40. Let n(a) = 3*d(a) - 2*h(a). Find v, given that n(v) = 0.\nAnswer: -19, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 373777 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*g**4*t + 7324771*g**3*t**2 - 3*g**3 + 24832*g**2 + 6*g*t**2 + 7 wrt g.\nAnswer: -96*g*t + 43948626*t**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 92\/(-1150)*50\/(-12)*144\/(-56)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -259, -246, -209, -136, -15, 166, 419?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, -533, -3, -254.\nAnswer: -533, -254, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y**3 - 5*y**2 + 12*y + 67. Give x(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 137042 + -136971. Let d = -93 + 162. Which is greater: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8769969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be -4 + 4\/8*-4. What is the tens digit of (-166)\/(-6) + (-2)\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -203133302 (base 4) to base 14.\nAnswer: -3adb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 7*z**2 - 6*z + 2. What is the tens digit of n(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-33)\/(-4))\/(16\/(-2)*909\/(-2424))\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1929*a**3 - 28*a - 340122.\nAnswer: 5787*a**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - g = -2*t + 18, 1 = -g. Calculate the greatest common divisor of 85 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 + 4. Suppose -2*l + 3*m = -2*m - 25, -5*l - m = j. Which is smaller: -4\/5 or l?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - 4 - (-3 - (-7 + 3 + 28)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w - 174*n - 5 = -169*n, -5*w = -5*n + 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor o**2\/6 + o\/6 - 1\/3.\nAnswer: (o - 1)*(o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o**3\/9 + 76078*o**2\/9 - 608728*o\/9 + 304376\/3 = 0.\nAnswer: -38047, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -4*m - 162, -z - 237 = -4*z + 4*m. Suppose 5*t = -5*x + z, -4*x + 2*t = -2*t - 36. Let k = 8 + 14. What is the remainder when k is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**2\/5 + 2532*c\/5 + 209664\/5.\nAnswer: -2*(c - 1344)*(c + 78)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 17384 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0025408 to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 2\/15 (b) 6 (c) -13\/2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -20359*h + 4*p + 21 = -20354*h, 0 = -5*p - 20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -11*o**2 + 26*o - 20. Let f(u) = 4*u**2 - 9*u + 7. Let t(b) = -6*a(b) - 17*f(b). Calculate t(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2246.64608 rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 4*i**3 + 3*i**2 + i + 2. Let m be w(-2). Let n = 29 + m. Calculate the smallest common multiple of n and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 6*k**2 - 3*k - 4. Let x(q) = -6*q**2 + 4*q + 4. Let a(z) = -2*v(z) - 3*x(z). Let j(y) = -5*y**2 + 5*y + 3. Give -3*a(f) - 4*j(f).\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 150554.6589 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pzpebbtz. Give prob of sequence bt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in seven thirds of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 5*c**2 + 29*c + 188. What is the smallest common multiple of 679 and a(-6)?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-66)\/18*6\/6*3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3.316215 weeks in milliseconds?\nAnswer: 2005646832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2270*p**3 + 16720*p**2 + 220805*p - 108?\nAnswer: 13620*p + 33440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 380849.5 seconds to nanoseconds.\nAnswer: 380849500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 - -3. Let u = q - -7. Suppose 0 = -3*a + u*v + 3771, 4*a - 929 = -2*v + 4099. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2*171\/54*3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: (1071\/378 + -3 + 1 + -7)*6\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -19*y**3 - 48*y**2 - 138*y - 15. Determine r(-4).\nAnswer: 985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(1\/3))**(6\/13)*(q\/(q**7*q))\/(q*q**(-2\/17)) assuming q is positive.\nAnswer: q**(-1708\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from {p: 4, f: 6}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (11 - 1 - 1)*(p - p - 5*p).\nAnswer: -45*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 8960*t - 2132484. Give y(238).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (i - i + 2*i)*(1 + 0 + 0) + 0*i - 3*i + 2*i + 6*i - 4*i + 0*i - i - 28*i - 14*i + 14*i in the form w*i + x and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3 - -111) + (2 - 0). Let p be -2*1*770\/(-44). Suppose n - 9 = p. Calculate the highest common factor of n and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37885319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 + 0)*(-2*k + 3*k + 0*k) + k + 2*k - 6*k + (-1 - 3 + 0)*(-2*k - k + 4*k) + (2*k - 17*k - k)*(-4 + 0 + 1).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:00 AM and 6:47 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 27*c**4 - 7*c**3 + 7*c**2 - 91. Let p(w) = 14*w**4 - 3*w**3 + 3*w**2 - 45. Let d(q) = -3*i(q) + 7*p(q). Find the first derivative of d(f) wrt f.\nAnswer: 68*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30478415 is divided by 2733?\nAnswer: 2732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 65 and 10075.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 24*-1\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*sqrt(1053)*-2 - -2*(sqrt(13) - (sqrt(117)\/(-3*sqrt(9)))**2).\nAnswer: -26\/9 + 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1518822.\nAnswer: 2, 3, 19, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/(-14) - (-550)\/(-14). Let i = p - -79. Is (1 - 1) + i + 3 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 812 = 3*j - 4*j. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 45\/14039 and 73\/67276.\nAnswer: 6794876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*u + u**3 - 3*u + 7*u.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 2*w - 244*w**2 + 236*w**2 - 48554 + 48483 in the form b*w + j*w**2 + n and give n.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 155\/(-220) + (-50)\/(-40).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1119504 and 176?\nAnswer: 12314544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v**2\/4 - 930373*v + 18607435\/4 = 0. What is v?\nAnswer: 5, 3721487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 52, 1438, 3734, 6940, 11056, 16082, 22018?\n\"Answer: 455*r**2 + 21*r - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/5*(-165)\/(-66)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5 minus 238.492?\nAnswer: -233.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -55 - 1. Let w = s + 114. Calculate the remainder when w is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -199 - -203. Solve 0 = b*q - 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 46*k**3 - 85*k**2 + 700*k + 7. Is g(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 106 + -103 - ((71 - 6) + 0)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2652 rounded to four dps?\nAnswer: 0.2652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -49076 divided by 4?\nAnswer: -12269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 68*h - 9297 = 85*h + 48554. Which is smaller: -3400 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4617 is divided by 915.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 109*t + 1373 + 6997 + 132 for t.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) -2 (b) 2 (c) -0.205 (d) 1\/3 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.4 in 0.4, -0.4, 4056?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -1. Let z(s) = 3*s**2 - 10. Let c(d) = -24*d + 313. Let g be c(13). Give g*z(p) - 6*v(p).\nAnswer: 3*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m + 1. Calculate b(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -45 - 2 + 56 - 9 - 4077*b to the form n*b + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 26*s**3 + 3*s**2 - 22*s**3 + 13*s**3. Let p(h) = -4*h**3 - h**2. What is -2*k(q) - 9*p(q)?\nAnswer: 2*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 13 + 202*z + 3*z**4 - 4*z**3 - z**2 + 205*z - 408*z + 6*z**3 as x*z**2 + c*z**3 + n + a*z**4 + p*z and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 27, 49, 61, 63, 55, 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:48 PM and 3:31 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 + 2. Let h be (-3)\/45 - 6\/10. Which is the closest to 2? (a) h (b) -1\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*z - f - 303 = 0, 2*z - 284*f + 244*f + 88 = -41*f for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2018*c**2 - 1072*c**2 + 84*c - 41*c + 5231*c**2 - 43*c.\nAnswer: 2141*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77*s - 7 = 76*s. Let b(h) = h**2 - 5*h - 9. Let u be b(s). Suppose 3*d = -w + 2*w + 4, 0 = -4*w - 5*d + 18. Solve -u = y - w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 7*c**3 + c**2 - 2*c + 1. Let k be m(3). Let a = k + -137. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = s**2 - s - 1. Let f(b) = 4*b**2 - 4*b + 18. Give -f(h) + 6*v(h).\nAnswer: 2*h**2 - 2*h - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11929 + -6559. What is the greatest common divisor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**2 + 2130*t + 3840. Let j(v) = 5*v**2 - 8520*v - 15358. Let z(p) = 3*j(p) + 13*x(p). What is the first derivative of z(a) wrt a?\nAnswer: 4*a + 2130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(3) - sqrt(3)*1) + sqrt(3) + 2 + -5)**2.\nAnswer: -6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 46303.24l to millilitres.\nAnswer: 46303240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6774061?\nAnswer: 7, 41, 23603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3 and 107.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor g**5\/6 + g**4\/3 - g**3\/3 - 4*g**2\/3 - 7*g\/6 - 1\/3.\nAnswer: (g - 2)*(g + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4410017 meters to centimeters.\nAnswer: 44.10017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 67266 is divided by 227?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4\/7, 3, -1.18, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -r - 2. Let f(h) = 2*h**3 - h**2 - 6*h + 3. Let q be f(0). Solve 0 = 5*s - q*b + 9, -3*s = -0*s - r*b + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 79139\/5 or 15829?\nAnswer: 15829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45338?\nAnswer: 2, 22669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2 - -2 - (-20)\/(-5). Let q = 3 + 0. Suppose y = q*s - 6*s + 447. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b - 10386 = -10378, -3*n + 107*b - 431 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0*-41\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7379 and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 5347 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-82)\/12 + 2 + (-12 - 51\/(-3)). Let o be (-36)\/21 - -2 - 0. What is the third smallest value in y, o, -0.2, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1613100 or -1613098?\nAnswer: -1613098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 20610 (base 7) to base 15\nAnswer: 17a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-140)\/(-120)*1575\/(-105)*(-2)\/28.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 2, -14 in decreasing order.\nAnswer: 7, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4009 and 5486.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.71 (b) -2 (c) 0.5 (d) 5 (e) 64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:02 AM and 7:21 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5015 + 5056.93. What is f rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i - 1. Let m(q) = 13*q + 14. Determine -m(k) - 6*s(k).\nAnswer: -7*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h**(-9)\/h)\/h*h**(2\/17)*h*h\/(h\/((h\/(h*h**(7\/4)))\/h))*h**(-4\/7))\/((h**(1\/2))**(-20\/3))**(-21) assuming h is positive.\nAnswer: h**(-39129\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -2645 by -45.\nAnswer: 529\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = 4*z + 24410570 - 7906565, -3*z - v = 12377999. What is z rounded to the nearest 100000?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -2*g - 7. Let a be t(-7). Is 5 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -597*d**4*v - 21453*d**4 - 600*d*v + 27692 wrt d.\nAnswer: -7164*d**2*v - 257436*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (4\/(-3))\/((-9418)\/831)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-2\/57))**(12\/7)*g**(-30)\/g**(4\/9) assuming g is positive.\nAnswer: g**(-36514\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/418)\/((-1584)\/(-2904))?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1 - (0 - -1)*-4. Suppose 5*g - 18 = 7. Let p = g + -3. Solve -p*i = i - s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -47 + (29 - (46 + -6)) + 14 + -1\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j + 19. Let l be g(-15). Is (166\/(-4))\/(l\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4927561.670071 + -4928168.27. Let d = 606.56 + i. Let u = 0.04 + d. What is u rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:33 AM and 3:56 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1281 a factor of 13122564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 35952 - 24487. List the prime factors of q.\nAnswer: 5, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.041 - 0.0347. What is m rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -7*g**2 - 5*g - 18. Let y(a) be the third derivative of a**5\/10 + a**4\/6 + 17*a**3\/6 + 4283*a**2. Determine -4*o(r) - 5*y(r).\nAnswer: -2*r**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -24, 234574, -6 in ascending order.\nAnswer: -24, -6, 234574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j*j*j*j**(-1\/4)*j)*j)**(-47)*(j**(-1))**(2\/77))\/((j*j\/(j*(j*j**6)\/j))\/((j\/j**(-6))\/j))**(1\/5) assuming j is positive.\nAnswer: j**(130013\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5555?\nAnswer: 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {x: 5, y: 4, p: 9, k: 1, s: 1}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the second derivative of -c**7\/294 + c**6\/70 + 3*c**5\/70 - 5*c**4\/42 - c**3\/2 - 9*c**2\/14 + 8*c. Factor y(k).\nAnswer: -(k - 3)**2*(k + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the first derivative of -13*r**2\/2 + 124*r - 710. Determine q(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 3*m - 1632 = 0, -5*m = -q - 2*m - 546. Let g = q + 550. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -9 divided by 10\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -36*o + 276. Let l be s(17). Let x be (-83472)\/l + 12\/21. Calculate the greatest common divisor of 166 and x.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 92*a + 13*t = 89*a + 34 + 32, -4 = -5*a - 4*t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 223668 a multiple of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 195b (base 13) to base 11.\nAnswer: 293a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ixibbnxibxnnxbi?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z + 20. Let n be b(-12). Let g = -1 + n. Find the third derivative of 4*q**2 - g*q**2 - 3*q**2 + 0*q**5 + 11*q**5 wrt q.\nAnswer: 660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 0 + 7*b - b**2 + 1 - 5. Let a be m(4). Let n be 145\/20 + 6\/a. Solve -4*w + 5*t + 8 - 4 = 0, w = -t - n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -2, 2\/5, 35\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12, 57, 132, 237?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 28\/(-1 + 0) + 94\/3431*73?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2681.05915 + -2899.058956. Let q = -97 - 121. Let d = q - m. What is d rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 5518 = 10437. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -191155\/52 or -3675?\nAnswer: -191155\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xddxxxxsxxfvdxdxxx. Give prob of sequence vd.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -3\/5, 1\/3, -271.5 in ascending order.\nAnswer: -271.5, -3\/5, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 2111122122112 (base 3) to base 5.\nAnswer: 320103002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2589 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1, 0.8, 4\/7, -0.3, 4, 3\/4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -29\/3 in 4, 1.9, 2\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/18 + 2343\/297.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6778516110 to the nearest integer?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 10 and 55792.\nAnswer: 278960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*n + 0*n + 67 - 55 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n, 1 s, and 1 l when three letters picked without replacement from snfsnflqsslf.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 292133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 243 - -139?\nAnswer: 37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(11) - 2*sqrt(539))*-3 + 3.\nAnswer: 3 + 39*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*x**3 + 2*x**2 - 2*x**2)*(-2*x - 4 + 4)*(-2*x - 4*x - 9*x).\nAnswer: -150*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = -6 - 0. Let s be g*8\/6 + 2. Let y = -0.04 + 0.24. Which is the nearest to s? (a) -1 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/8 of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be 12\/(-20) - 38278\/(-20). Let i = g + -1921. What is the common denominator of (56\/(-48))\/(8\/42) and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 1628011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 959 is divided by 239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1\/(-3))\/1*-15. Suppose -19 = 3*u + j*s, 0 = -u - 3*s - 12 - 1. Suppose 30*t + 24*t - 150 = 24*t. Solve 0*g - 5*g - 16 = u*r, t = -r - g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-204)\/24225*-10*(6\/8)\/(-3)?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 518*u**3 + 662*u**2 wrt u?\nAnswer: 3108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -5*z + 1 - 3 - z. Let i(o) be the third derivative of -o**4\/24 - 8*o**2. Calculate 4*i(g) - j(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = -5, 4*g + 5*r = 46 - 51. Factor 4\/7*d**3 + 2\/7 - 2\/7*d**4 - 4\/7*d + g*d**2.\nAnswer: -2*(d - 1)**3*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -1\/3*b**4 - 131*b**2 - 43\/3*b**3 + 1495\/3*b - 1058\/3 = 0.\nAnswer: -23, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the second derivative of g**5\/20 - g**3\/6 - g**2\/2 + 2*g + 62. Let q(u) = 17*u**3 - 6*u - 6. Determine q(i) - 6*r(i).\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 37 = 5*j - 230, 3*u = -j + 203. Let v = u - 547\/8. Which is the third smallest value? (a) 3 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 398 + -394. Suppose r + 2*a - 8 = a, -5*a = 2*r - 28. Suppose -r*t - q = -5*t. Sort -2, 2, t in ascending order.\nAnswer: -2, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -9729192*a + 81378. Let g(j) = 6576*j - 55. Determine 7398*g(c) + 5*h(c).\nAnswer: 3288*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**2 + 13*y - 16. Let q be g(-14). Let s be -2 - (q + 0 + (3 - -1)). Let u(m) be the third derivative of m**4\/8 + 2*m**3\/3 - 2*m**2. Calculate u(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-117)\/(-780) + (-6837)\/(-6020)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3104 (base 5) in base 3?\nAnswer: 112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 98195 to the power of 1\/2, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 55 + -55.01. What is the closest to -1\/3 in 0.5, l, -2, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:05 AM and 9:15 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 + 1 + 6 + 950*m - 12 - 948*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4863790.\nAnswer: 2, 5, 486379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 0.5, -0.056.\nAnswer: -0.5, -0.056, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 537727 = 537727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 77, 75, 69, 59, 45, 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/11 in 1.3, 0.1, 0, -2\/7, -1600?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1520 + 42364128.216?\nAnswer: 42365648.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/11, 1\/8, -1240, 36\/7, 2\/5, -2\/19?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = 5*q - 707, -8*a = 2*q - 10*a - 286. Let j = q + -143. Let z(f) = -9*f - 2. What is z(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 474, 950, 1426?\n\"Answer: 476*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 16 = -5*a + i, 0 = 4*a - 2*i - 4. Suppose 30 = -a*h + 7*h. Find the third derivative of -2 - 14*k**2 + h - 10*k**4 - 4 wrt k.\nAnswer: -240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5240 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-90)\/(-8) + (-7)\/28. Let a(l) = l**3 - 12*l**2 + 17*l - 6. Is 10 a factor of a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1950584672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t = -t + 2. Find the third derivative of -41*i**3 - 4*i**2 + 42*i**3 + i**t wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 21 + 5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1618679.\nAnswer: 1618679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -93*w + 178*w + s + 2*s = 90*w + 86, -4*w = 2*s - 50 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jmmj. Give prob of sequence mmj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/4 + 4848\/96. Which is the fifth biggest value? (a) 2 (b) 0.4 (c) -8 (d) s (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33.841 kilometers in meters?\nAnswer: 33841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 17 or 12.95979?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 46 = -50. Solve 0 = 2*q + 3*t - 5*t - 6, -5*t = 4*q + y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 0 = -3, -1 = -3*m + 5*l. Suppose d = m*n - 6, 2*d - 20 = -3*n - 2*d. Let r(t) = 6*t**2 + 0*t**3 - 7*t - t**2 - t**3 + 5. Calculate r(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-3\/7)\/c**(1\/5))\/(((c\/c**3)\/c)\/c*c**(5\/4)))\/(c\/(c**(-5)\/c)*c*c**2\/c*(((((c\/c**(2\/11))\/c)\/c)\/c)\/c*c)\/(c\/c**(-2\/11))) assuming c is positive.\nAnswer: c**(-5413\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Solve 3*q**2 + 906288*q - 22659075 = 0 for q.\nAnswer: -302121, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3.85 - -0.15. Which is the second biggest value? (a) -1 (b) f (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the third derivative of 0 - 6*k**2 - 2\/3*k**3 + 0*k - 7\/24*k**4 + 1\/60*k**5. Let s be d(8). Sort s, 1, -1 in decreasing order.\nAnswer: s, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + ((-2*sqrt(20))\/sqrt(5) - sqrt(64)*-2)\/(4*(sqrt(8) - -5*-2*sqrt(8))\/sqrt(4)))**2.\nAnswer: sqrt(2)\/3 + 19\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:15 PM and 12:43 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7\/448)\/(2\/(-8)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -2\/5 (b) 0.2 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -1 - (-718)\/6 - 8\/(-24)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-79 + 1)*2\/(-3). Let h = -7 + y. List the prime factors of 4\/(-18) - (-415)\/h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 5 (c) 3\/5 (d) -0.2 (e) 3.1898\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 2*k**3 + 447*k**2 - 1119*k + 2504. Determine a(-226).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 102 - 95. Let n = 85 + -36. Calculate the highest common divisor of n and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-y + 2*y + 0*y)*(y - 5 + 5) + y + 8*y**2 - 4*y**2 - 3 + y**2 in the form z + l*y + x*y**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 15 + 21 = 0. Let q(x) = -x**3 + 10*x**2 - 8*x - 4. Let m be q(g). Suppose -35 = -2*h + m. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 873097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.05 and 18.072719.\nAnswer: -0.90363595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -2.7 times -271\nAnswer: 731.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 20 - -553?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 286 - -79. Let r = -364.9813 + d. Round r to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8409909113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(475)*-1*1 + -4)**2 + (sqrt(475) + 1*sqrt(475))*3 + (-3 + 1*sqrt(475))**2.\nAnswer: 40*sqrt(19) + 975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 5 - (22 - (34 + -13) - (-3 - 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y**2 + y**4 + y**2 + 0*y**4 - 3*y**4 + y**4 + (-2*y + 2*y + 2*y**3)*(-2*y + 3 - 3))*(1 + 4 - y + 4).\nAnswer: 5*y**5 - 45*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1523 and -0.07?\nAnswer: -106.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of -567.38 and -0.5.\nAnswer: 283.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -2*x + 8. Let z be (-7)\/3 - (-1)\/3. Let i be -1 + (-1)\/z*2. Solve -6*v = -v - 15, i = -x*d + v - 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 57 - 55. What is the biggest value in -4, -2, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8118*q**5 - 5084*q**2 wrt q?\nAnswer: 487080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add -36 and -59056453219.3.\nAnswer: -59056453255.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 9 - 1 - (-75 + 83) - (2 + -17)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2742 - -3903. Let o = u - 141. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2951.\nAnswer: 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(-4) - (-5)\/(-140). Which is the nearest to i? (a) 4 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*w - 103*t + 105*t + 28, 26 = 5*w + 2*t for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 3*l + 2*i, i = 4*l + 10 + 3. Which is bigger: l or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.14200819+-175351\nAnswer: -175350.85799181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**3 - 5*l**2 - 7*l + 3. Let x be j(6). Let q = 2493 - 2491. Let o = -0.62 - -0.12. What is the closest to 1 in x, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 66847*r**3 - 56159 wrt r.\nAnswer: 200541*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -4*b + 6. Suppose -29*l = -22*l - 42. Calculate m(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3269891 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2649281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-10)\/(-8) + -3*(-129)\/(-252). Which is the biggest value? (a) 0.6 (b) -0.2 (c) -1\/4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the third derivative of -1\/180*g**5 + 0 + 5*g**2 - 2\/9*g**3 + 0*g + 1\/18*g**4. Factor c(a).\nAnswer: -(a - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-50)\/(-500) + (-4)\/16)*40\/(-225)\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is (-7)\/(14\/(-2090)) - -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 35*d + 140. Calculate f(3).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h be (12\/5)\/(-1*10\/(-25)). Let u be (-3)\/h*(0 - 3 - 1). Solve 0*w = w + u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-8\/7)\/(k**(-13)*k)*k**40\/k**(7\/6) assuming k is positive.\nAnswer: k**(2087\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -61503*w + 887 = -61800*w - 598 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -271032, -271017, -270988, -270939, -270864, -270757, -270612, -270423?\nAnswer: -270184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -16629 = -175*n - 548*n for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -11 * -67.2.\nAnswer: 739.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 36319, 36309, 36285, 36241, 36171, 36069?\n\"Answer: -p**3 - p**2 + 36321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -191 - -198. Let c(r) = 10*r**3 + 4*r**2 + 4*r + 2. Let a(s) = 19*s**3 + 7*s**2 + 7*s + 3. Determine y*c(n) - 4*a(n).\nAnswer: -6*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 100010100010 (base 2) to base 4.\nAnswer: 202202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cq when two letters picked without replacement from {q: 7, c: 9}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the first derivative of 2*h**3 + 2*h + 8. Differentiate k(f) wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 6*q + 47. Determine s(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 70\/(-875)*(-5)\/2*(-3)\/(-9)*-5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(72) - 1*(sqrt(72) + -2 + sqrt(72)).\nAnswer: -6*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (-1)\/((-49)\/14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*j**2 - 2*j**2 + 16602601 - 16602601.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-196)\/6*(-3 - 0). What is the greatest common divisor of 28 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i**2 - 7*i - 17. Calculate the remainder when 73 is divided by r(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i, 1 p, and 1 k when three letters picked without replacement from {p: 2, i: 6, k: 1, l: 2, y: 5}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q**3 + 2*q**2 - 6. Calculate g(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.07 in 0.05, 0.2, -2\/3, -10?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -a**4 - 48*a**3 + 676*a**2 - 11*a - 3047.\nAnswer: -12*a**2 - 288*a + 1352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - (-8)\/(-2)) + 1. Let p(c) = -c - 5*c - 6*c**2 + c. Let y(g) = 2*g**2 - g**2 + 0*g - 2*g**2 - g. What is i*p(n) + 4*y(n)?\nAnswer: 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9 - -11. Let k(b) be the first derivative of b**4\/4 - 2*b**3\/3 - 12. Let w(m) = -m**2 + m. Give l*w(d) - k(d).\nAnswer: -d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 781*g**2 - 12*g - 50. Let w(i) = -2344*i**2 + 36*i + 141. Let o(j) = -17*d(j) - 6*w(j). Find the second derivative of o(p) wrt p.\nAnswer: 1574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -131 times 3.682\nAnswer: -482.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = -9 - 7. Suppose 18 = 3*f + 3*t - 0*t, 0 = n*f + 3*t - 22. Solve 0*p - f = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 times -565988\nAnswer: 2263952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 + -4 - (-10 - (-7 - -2))) + -21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = n - 3. Let g be r(5). Suppose j = -2*w + 7 + g, 6 = 5*j - 3*w. Let t = 5 - 8. Put t, -4, j in ascending order.\nAnswer: -4, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5 + -5.3. Let r be (3 - 5 - -2) + (-427)\/(-3). Let s = r + -143. What is the third biggest value in a, -3, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7802.111l?\nAnswer: 7802111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, 12, 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 2 + 4 - 21*h + 5*h - 3. Suppose 7*c = 116 - 53. Let m(o) = -5 - 10 - c + o + 10*o + 22. Give 7*m(r) + 5*w(r).\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the first derivative of 5*t**2 + 4. Let m(s) be the second derivative of -1\/6*s**4 + 0 + 0*s**2 + 0*s**3 + 8*s. Determine m(d(v)).\nAnswer: -200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14*(-2 + (-13)\/(-2)))\/((-1309)\/(-561)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 15402527329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 40 + -39. Let d(n) = -13*n + 3. Let q be d(g). Is (-1 + 6)*(-8)\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 + a45336?\nAnswer: a45332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ofvoyvovoowfvwo. Give prob of picking 1 f and 2 w.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g**2 - 27*g + 29. Let o be z(26). Suppose -2*i = 10*i + 120. Let k = 2.05 + -0.05. Sort 0.5, k, o, i in increasing order.\nAnswer: i, 0.5, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 97*y**2 - 116*y. Let r(d) = 96*d**2 - 115*d. Let o(w) = -3*a(w) + 2*r(w). Find the second derivative of o(l) wrt l.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3*c*k**3 + c - 367*k**3 - 28 wrt k?\nAnswer: -9*c*k**2 - 1101*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1*1\/2)\/((8\/272)\/1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 66*y - 202. Give z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41485 is divided by 11369.\nAnswer: 7378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 3 = -5. Suppose 0 = 3*h - p*h - 11. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10 (base 9) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 13 by -92232.\nAnswer: -13\/92232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -175.73 + 180.73. Which is the fourth smallest value? (a) -0.2 (b) -3 (c) 65.8 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 25\/31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:24 PM and 11:02 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -110 + 73?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3075145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(114)*1*5)\/(sqrt(486) - 2*sqrt(486) - (sqrt(6) + sqrt(6)*-2*1 + sqrt(6))).\nAnswer: -20*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 116 a factor of 14529464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1 + 17772755?\nAnswer: 17772754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2, -28, -15, 2\/13, -2\/57, 4?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n be 8\/(-24)*-129*1 + 2. Let b = n + -45. Let r be (-1 + b)\/(7\/3 - 2). Sort 0, 5, 11, r in increasing order.\nAnswer: r, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2 + -7. Let i(g) = g + 13. Let j be i(p). Suppose 40 + 4 = j*u. Calculate the remainder when u is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q = 10, -3*q = -4*w - 4*q - 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*q = -10*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + (-4 - -8 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -134 - -143. Let g(o) = o**2 - 9*o + 9. Let w be g(9). What is the highest common factor of d and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 111 - -1 - (34 + (-107 - -39) - -12)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -100*m - 6*m - 1272 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12748344 divided by -5.\nAnswer: -12748344\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -31427, -62841, -94255?\nAnswer: -125669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -68, -69, -68, -65, -60, -53?\n\"Answer: i**2 - 4*i - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xwwwwxxwxxxwwwxw. What is prob of sequence xww?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2420 = a + 3*a. Let q be 30\/(-4)*(-16962)\/2313. Calculate the highest common factor of q and a.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 719, 734, 749, 764?\n\"Answer: 15*r + 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(165)\/sqrt(12))\/(-3*-2*sqrt(5)) - (3*-2*sqrt(275) + 5*(sqrt(275) - (sqrt(275) + -1)))**2.\nAnswer: -9925 + 3601*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2 + 417\/(-12) + 0)\/1. Which is bigger: -33 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u = -4*f + 80, 0*f - 2*u + 33 = f. Let z be (f + 3 - 3) + 1. Let h = z + -18. Is 8 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11437 is divided by 220?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*o = o - 141 + 31 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 74446514 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - 292\/(-11) - 11892\/21802?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2.41917 - 2.41. What is s rounded to 4 dps?\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that -4*q**2 - 3100*q = 0.\nAnswer: -775, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -153*q**2\/7 - 4985*q\/7 + 57258\/7.\nAnswer: -(q - 9)*(153*q + 6362)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 51 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be 96\/(-120) + 24\/5 + 1. Is 587\/i - (-8)\/(-20) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 117\/(-100) - 15\/(-20). Let j = 2\/25 - l. Let j + 0*p - 1\/2*p**2 = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 38716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1 (b) 1\/4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -37*j + 14. Let u(c) = -26*c + 11. Let x(s) = -7*t(s) + 10*u(s). Let a(z) = -z + 12. Determine 5*a(v) - 6*x(v).\nAnswer: v - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 32*x**2 + 23*x - 215. Let q be m(9). Calculate the highest common divisor of q and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7415467753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -2*l**3 - 3*l**2 + 3*l - 5. Let u(d) be the second derivative of -3\/20*d**5 - 3*d**2 - 1\/3*d**4 + 2\/3*d**3 - 3*d + 0. Calculate 4*s(y) - 3*u(y).\nAnswer: y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/(-48) - (-8)\/(1440\/(-111))) + (-18)\/12?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -3*x + 6, -5*x - 16 = -2*p - x. Suppose 7*q = 10*q + 12. Put -3, q, p in descending order.\nAnswer: p, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 53\/77 + 2824\/1155. Suppose 0 = -10*q + 6*q - 24. Find the common denominator of 1\/q*(-685)\/5 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*y + 42*y**2 - 23*y**2 + y**3 - 21*y**2 in the form j + x*y + s*y**2 + z*y**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*f - 2 = -0*f - f, 15*c + 2*f - 8*f = 4*c - 265 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1223 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, 2\/15, 0.3, 0.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1\/(-1))\/((-3)\/18). Let d be (-3)\/p - 18\/4. Sort d, -3, 0.\nAnswer: d, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*b - 8 = 25*b. Suppose k - 17 = o, -11 - b = -k - o. What is the remainder when k is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -q + 11, -o - 4*o + 10 = 5*q. Let u be (10 - 4)*o\/(-6). Suppose -g = -x + 294, -u*g = g + 4. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 2*p**3 - 14*p**2 + 15*p - 23. What is t(5)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/3, -1\/2, 7 in decreasing order.\nAnswer: 7, 4\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z - 2*k, -7*z + 2*z + 14 = -3*k. Suppose 69 = 2*o - 3*r + 12, 2*o - z*r = 58. Let s = o - 18. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.6 (b) -3\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 461881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be 8\/60 - (95\/150 - 5). Put j, -0.1, -6, 5 in increasing order.\nAnswer: -6, -0.1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-120)\/(-32)*(-2)\/(-10)*2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = o. Let q be c(3). Suppose 2*d = 2*m - 14 + 6, 0 = -d - 3*m - 8. Put q, -4, d in ascending order.\nAnswer: d, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 3468250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) -0.037 (c) -4\/739\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2a9542 - -14?\nAnswer: -2a952d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 29*o**4 - 4*o**3 - 4*o**2 - 340. Let q(d) = d**3 - 2*d**2. Let w(k) = j(k) + 4*q(k). What is the derivative of w(l) wrt l?\nAnswer: 116*l**3 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 17\/394266 and 23\/52.\nAnswer: 10250916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = -20 + 4. Let a = 23 + t. Solve -c - 11 = 3*o, 0*c + 4*o - a = 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2 - 0. Let l(a) = a + 1. Let q be l(3). Suppose c + q = g*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = -4*x - 5. What is the greatest common divisor of x and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 6*p + 12 = -4*s, -12 = 4*p + 4*s. Suppose 2*k - 41 - 31 = p. Let h = 35 - 33. What is the lowest common multiple of k and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 * 0.0772988.\nAnswer: -0.1545976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 20747 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 303539130 divided by -15?\nAnswer: -20235942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -37 divided by 3502\nAnswer: -37\/3502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -27\/10, 0.4, -4434.5 in increasing order.\nAnswer: -4434.5, -27\/10, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 78 = -3*n + 33*d, -21*n + 17*n + 4*d = -56 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4037468506.\nAnswer: 2, 2018734253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 14\/17135 and -16\/1655?\nAnswer: 5671685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -33 + 3*a - 23 + 55. Let s(n) = 5*n - 1. Give 7*j(g) - 4*s(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 37 + -25. Let h = a - 17. Let b(x) be the second derivative of -x**5\/20 - 5*x**4\/12 - x**3\/6 + 3*x**2\/2 + x. Give b(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 - -13. Let x be (-7)\/(-2) - 4\/m. Suppose -6*p + 3*p = -60. Solve p = x*y + y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 2*h**3 - 70*h**2 + 12*h - 12. Let v(g) = -2*g + 2. Determine b(x) + 6*v(x).\nAnswer: 2*x**3 - 70*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 144 divide 1172400480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be (57\/38)\/((-6)\/(-16)). Suppose -5*p - 3*i + 193 = i, -t*p = i - 161. Is p <= 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 55*g**2 + 77*g. Let c(x) = 24 - 6*x + 8*x - 5 - 19. Calculate u(c(i)).\nAnswer: 220*i**2 + 154*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -3*w - 1. Let t be k(-2). Let p = t + 0. Solve -c - 28 = -5*j - 0*c, -2*j + p*c = -25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 62*b - 10 = 2*h + 318*b + 2, -4 = 2*h - b + 7 + 1 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 485919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o - 13 = -29 + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15 - 19 - 37 + 13)*(2*u - 9 + 27 - 10).\nAnswer: -116*u - 464","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the second derivative of c**5\/30 + c**3\/6 - 2*c. Let q(f) be the second derivative of o(f). Let u(z) = -5 + 6 - z - 1. Calculate q(u(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 1 = 41. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 2*i**2 - 3 - i - 3*i**2 + 4. Let z(r) = 2*r**3 + 8*r**2 + 424*r + 1253. Let m be z(-3). Let u(j) = -10*j**2 - 5*j + 9. Give m*u(n) + 6*s(n).\nAnswer: 4*n**2 - n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0 + 2 + (7 - 3) - (0 + 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2103 - 2101. What is the nearest to g in 3, 2, 73?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2310, 5480, 9490, 14352, 20078?\nAnswer: 26680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -850 + 452 - 338*s**3 + 4*s - 2*s**2 + 403 - 4*s to r*s + u*s**2 + f*s**3 + t and give f.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * -0.023083.\nAnswer: 0.115415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = 21 + -22. Let n = 0.017 - -43.983. Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-44 + -3 + 3 - (90 - 96)) + 1 + -7.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 81 + -48. Suppose 0 = -2*n + 7 + x. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g. Let p be s(-3). Let v = -349\/90 - -13\/30. Find the common denominator of v and ((-13)\/4)\/(2\/p).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 51 - -68. Suppose 6*u - p = 55. Suppose -4*o = -4*s - 72, -u = -5*o - 4*s + 79. Solve 0 = 4*f - 9*f - o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1169 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 3*c**2 - 12*c - 12. Let j be o(10). Calculate the highest common factor of 24 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -16072*b + 12805?\nAnswer: -16072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -65383, -130831, -196279, -261727?\nAnswer: -327175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 29\/2 of a millisecond?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the first derivative of q**2\/2 - 21. Let h(y) = y**2 - 22*y. Give h(w(t)).\nAnswer: t**2 - 22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 3*i**3 + i**3 - 5*i**3)*(-51 - 9 + 27)*(-3 - 1 + 2) in the form u*i**2 + z*i + x*i**3 + r and give r.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 112*m. Let t be f(2). Let x be ((-17)\/(-18 - -1))\/(1\/(-37)). Let w = x + t. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 5, j: 5, b: 6, x: 1}. Give prob of picking 2 r, 1 j, and 1 b.\nAnswer: 15\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 15) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/(6\/42) - 4\/(-4). Let k be ((-488)\/(-1098))\/(d\/6). Let 10\/3*m**3 + k*m**4 + 32\/3*m**2 + 0 + 32\/3*m = 0. Calculate m.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(70)\/sqrt(2))\/sqrt(7).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -404 - -431. What is the lowest common multiple of 11 and b?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify j\/((j*j\/(j*j**5))\/j)*j*j**1\/j*(j\/(j**(1\/3)*j*j))\/(j**(2\/13)*j) assuming j is positive.\nAnswer: j**(176\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v + 6*v = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -524 - 46 + 190*c - 185*c + (-c + 0*c - c)*(2 - 1 + 1) in the form z*c + a and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, y: 3}. What is prob of sequence qy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5*4\/((-40)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + 2\/(-18) - (-2850)\/2565.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -2*j**2 + 132*j + 2. Let d be w(0). Factor 4\/3*l + 2\/3*l**4 - 4\/3*l**3 - 2\/3*l**d + 0.\nAnswer: 2*l*(l - 2)*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4 - -1) + 0\/6 + 414. Suppose 0*k - 6 = 3*k, -2*k = 5*a - h. Calculate the remainder when a is divided by 47.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -2*d. Let x(t) = -47*t**2. What is b(x(i))?\nAnswer: 94*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-21)*-30)\/(1*(-9)\/18)?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -2, 3, 0.5, -0.03, -0.6, 25\/11?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1129 or 194?\nAnswer: 1129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 549 - 545. Calculate the remainder when 411 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = -c + 476, 26 = -3*b - 5*c + 400. What is the third derivative of 891*f**4 - b*f**2 - 892*f**4 + 3*f**5 + f**5 wrt f?\nAnswer: 240*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -58599.9999948883 + 58600. Round h to seven decimal places.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 + 11101111000001000110100?\nAnswer: 11101111000001000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -8*j + 27. Give z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2\/3, 5\/6, -0.09, 20\/9?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 12 in 1, -0.5, 7, -2.5, -6.6, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 1, c: 1, p: 3}. Give prob of picking 1 c and 2 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 37762265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-5770)\/(-6) + (-6)\/(-18) + (-20)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p + 3*o + 8 = -o, 3*o = 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 7*g**2 + 8 + g**2 - 5*g**2 + 2*g**2 in the form k*g**2 + u + f*g and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:30 AM and 11:07 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the third derivative of 121*l**6\/1080 - 77*l**5\/540 - 5*l**4\/27 - 2*l**3\/27 - 8*l**2. Determine n, given that a(n) = 0.\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-32)\/(-15) - 76\/95. Suppose 25*q + 20 = 29*q. Which is the fourth biggest value? (a) -2 (b) n (c) -3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**2. Let u(n) = 660*n + 5. Calculate v(u(h)).\nAnswer: -435600*h**2 - 6600*h - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**2 - 5*v + 1. Calculate the smallest common multiple of q(5) and ((-11)\/((-77)\/(-350)))\/(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 110 and 700.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-35)\/110*(-52)\/637*14.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 67176825 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5 and 18637.\nAnswer: 93185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -1997*y**2 + 823*y + 1001*y**2 + 1005*y**2 in the form v*y + d + c*y**2 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 2*y - 27. Let t(f) = -3*f + 28. Let k(b) = -4*l(b) - 3*t(b). Let h = -4 - -9. What is the least common multiple of k(-20) and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7089\/19 - 373. Let n = -23\/38 + q. What is the nearest to n in -0.2, -5, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l**5 - 4158*l**4 - 16608*l**3 - 16600*l**2 = 0. What is l?\nAnswer: -2075, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -5655000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1571 or -1586?\nAnswer: -1586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -245, 3\/4, -1648?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, j: 1, f: 2, s: 2, k: 1}. What is prob of sequence pfjs?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that i**2\/3 + 68*i\/3 + 252 = 0.\nAnswer: -54, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1964780 to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (-4 - 501)*(-24)\/30 and 22?\nAnswer: 4444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3.09 + 3.19. What is the second smallest value in v, 0, 24?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -42.6063896 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 4*s + f + 11, -s = -4*f + 15. Let c = s - -7. Sort -3, c, 0.3 in increasing order.\nAnswer: -3, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z - 5*h + 38, h + 10 = 3*z + 33. Is 17 a factor of (-98)\/z + 3\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-208)\/(-28) + 12\/(-28). Suppose -j + 0 = -h. Let v(x) = 5 - 5 - x**2 + 8 + 5*x. What is v(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -12*y + 76. Determine a(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2748 divided by 12.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 58 - 51. Suppose 3*p + 4 - k = 0. What is the tens digit of p\/((-1)\/(1 + -84))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/260 and 31\/16224.\nAnswer: 81120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 8821921 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1030 or -60423?\nAnswer: -1030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/4*1 - (-13)\/13\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 604830 divided by 40.\nAnswer: 60483\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -8291577910 rounded to the nearest 1000000?\nAnswer: -8292000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 69*d - 65*d. Let q be 1 + (d - 4) + -5. Let r(w) = -6*w + 1. Let t(k) = 5*k. Let o(h) = 3*r(h) + 4*t(h). Determine o(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 - -4. Let i be (-11)\/(c - (-1)\/(-3)). Suppose -2*l - 4*z = -z - i, -2*z + 6 = 0. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*c + 34*y - 36 = 37*y, 3*y = -2*c - 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 439 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 84 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -105 - -242. Suppose -13*s + i = -929. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the second derivative of -j**3\/6 - 7*j**2\/2 + 2*j. Let s be q(-6). What is the units digit of ((-1)\/3)\/(s\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 4*m = -3*p - 1436, 0 = -5*p - 3*m - 7111. Is 12 a factor of ((-1)\/2)\/(4\/p*2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 + 10 = 10*u. Suppose 4*n - 5*z - 465 = -0*z, 3*n - 372 = -u*z. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/159*33\/627*19?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -4*t**2. Let r(p) be the third derivative of 49*p**4\/12 - 2103*p**2. Give r(m(k)).\nAnswer: -392*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = 970.43 + -977. Let j = 1.27 + r. Let k = -5.30019 - j. What is k rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (j - 2*j + 3*j)*(-3 - 13 + 27 + 0 + 1 + 0 + 0 + 0 + 2 + 4 - 1 - 1 + (-1 + 2 + 1)*(-3 + 6 - 1) + 2 - 3 - 1) + (-2 + 1 + 2)*(-3 + 5*j + 3).\nAnswer: 41*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -2*sqrt(13)*1 + -3.\nAnswer: -2*sqrt(13) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 57891, 57886, 57879, 57870, 57859, 57846?\nAnswer: 57831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - 19 - (41 + -218 + 125)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8*x - 16 + 32 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**2 - 7*p + 10. Let k be w(-8). Let d(h) = h**2 - 2 - 2*h**2 + 0*h**2 - 3*h + k*h. Determine d(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (762090\/36290)\/((-3)\/(-7)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k + 5*k - 64 = -4*g, -53 = -4*k - 5*g. Suppose 3*t + 119 = 5*d + 104, 0 = -5*t + 4*d - 12. Solve -4*l + 8*l - k = t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 4*y = 7, -t - 3*t + 5*y + 30 = 0. Suppose 0 = p + 4*u - 53, -t*p - u - 12 + 182 = 0. Let z = p + -6. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o + 12. Suppose -15 = 6*a - a, -5*j + 5*a = -85. Let p be f(j). Let u be p\/(-3) + (-16)\/24. Round u to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s + 1. Let a(f) = -7*f - 4. Suppose -50*i - 26*i + 99 = 23. What is i*a(t) + 3*r(t)?\nAnswer: -4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(5\/9)*g\/((g*g**(-12\/11))\/g*g) assuming g is positive.\nAnswer: g**(163\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 60 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -14956, -13658, -12360, -11062, -9764, -8466?\n\"Answer: 1298*h - 16254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 12*w + 550. What is the remainder when 498 is divided by z(-35)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.3 - -0.8. Suppose -302*c - 3*w - 5 = -300*c, 0 = 3*c - 4*w - 1. Let y be ((-3)\/(135\/(-12)))\/(12\/(-18)). What is the closest to c in y, -1\/5, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 46549, 93098, 139649, 186202?\nAnswer: 232757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 37069 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -146, -377, -32, -5\/7, 3\/7.\nAnswer: -377, -146, -32, -5\/7, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -11 - 19 - 15*d + 30 + 20*d. Let p(b) = 123*b**2. Calculate p(t(s)).\nAnswer: 3075*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 46377439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(4\/3)\/c)\/c*c\/c**(1\/6)*(c**(1\/2))**(4\/15))**(-48) assuming c is positive.\nAnswer: c**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.004296015 rounded to 5 dps?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes after 12:47 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1680650 and 3275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 126223262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, 5, -2, 2, 0.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 2*u + 101 = 2*u, -5*m + 151 = -2*u. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the second derivative of -19*h**6 - 71*h**4 + 4085*h. What is the third derivative of a(m) wrt m?\nAnswer: -13680*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -3*p**3 - p**2 - 6. Let t(q) = -1. Suppose 5*b = 2*o + 12, -3 = 4*o + b - 1. Determine o*h(r) + 6*t(r).\nAnswer: 3*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 717 and 8096?\nAnswer: 5804832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11 + -5. Suppose -3*p + 3 = d. Suppose 1 = 3*x - 8. Sort x, p, 1 in ascending order.\nAnswer: p, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 4*m = 18 - 2, 4*i - 3*m = 23. Determine a, given that -a - 3*a**4 + a**3 - a - 4 + a**4 + a**3 + 6*a**i = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -3*1\/((-6)\/8). Is 20\/(v + 1) - 7 - -10346 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2044235587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h = -3*v + 21, 4*h + 312 = v + 330 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -156695 - -556705. Suppose -3*r = -4*r + u. Suppose 2*w = -4*x + 159992, -3*w = 2*w - 5*x - r. What is w rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 897920 a multiple of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = -23281870 - -23279357.4919. Let m = h - -2513. Let l = -0.49 + m. Round l to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1898634067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 265313 + -91?\nAnswer: 265222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 81*f*r**5 + f*r**4 + 2*f*r**3 + 5*f*r**2 + 13*f wrt r?\nAnswer: 4860*f*r**2 + 24*f*r + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 27*q**4 + 0*q**2 + q**2 + 4*q**2 - 2*q**2 wrt q.\nAnswer: 648*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 114126404 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:21 AM and 1:09 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h**3 - 9*h**2 - 2*h - 11. Let o(z) = -3*z + 12. Let d be o(7). What is f(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 4 + 0 + (2 - 5 + 2)*(5 - 4 - 2) + 0 - 4 + 2 + 3 - 3 - 1 + (0 + 2 + 0)*(2 + 2 - 2) - 2 + 3 - 2 + 2 + 3 - 3)*(-2*u**2 + 0*u**2 + 4*u**2).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(-6 + 7)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**3 + 10*k**2 - 9*k + 11. Give o(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 98 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the first derivative of 593*b**4\/4 - 2*b**3\/3 + 3*b**2\/2 - 3*b - 9. Is k(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 + (-24 - -10) + -20 + 10 + 1 + -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 5657 - 5657 - 1336*j**2 in the form w + q*j + u*j**2 and give u.\nAnswer: -1336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1177 = 35*z - 8667. What is the remainder when z is divided by 56?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*n - 3*n + 5*n)*(206 + 8*n - 206)*(-1 + 0 + 3) in the form j + a*n + z*n**2 and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5 - 7. Let g be ((-7)\/a)\/(1\/2). Suppose 5*x = g*x. What is x rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 55, 104, 153, 202, 251?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 55213 (base 8) in base 9?\nAnswer: 34714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-84)\/(-16)*(-966)\/9. Let h = 543 + y. Calculate the common denominator of 51\/22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 3, r: 5, g: 3}. Give prob of sequence ooor.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2387950328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**3 - m**2 + 1. Let l(x) = -10*x**3 - 11*x**2 + 7. What is -22*a(u) + 2*l(u)?\nAnswer: 2*u**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -158*x**3 - 11*x + 199. Let v(c) = 53*c**3 + 4*c - 66. Let z(y) = -4*p(y) - 11*v(y). What is the derivative of z(u) wrt u?\nAnswer: 147*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 45*m**3 - 62*m**2 + 12*m + 3. List the prime factors of y(5).\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (20457 + 6532 + 5201 + 18847 - n)*(0 - 2 + 3) to the form j + x*n and give j.\nAnswer: 51037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*n + 15*n + 6 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 10 = -u - j, 5*u - 47 = 4*j. Let o = u - 3. What is the first derivative of -3*t**4 - 1 + t**4 + 0*t**o wrt t?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 10 = s - 3*s, s - 20 = -4*w. Suppose 3*k + w*d = 5, -2*k + 5*d = 3 + 2. Let q be (k - -1)*(9 - -4). Solve -p = -3*a - q, -4*a - 5 - 7 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*r**3 + 621010*r**2 - 621015*r.\nAnswer: 5*r*(r - 1)*(r + 124203)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k - 3*k - 2. Let o be (-29)\/k - 2\/(-4). Suppose -o = -v - 3*l, 5*v - 2*l = 2*v + 34. 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: Two letters picked without replacement from yttulyyytlyyuyhlyy. What is prob of sequence hy?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 50 divide 10150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 85 = 5*f, 3*p - 2*f + 145 = 2*f. Let q = -18 - 1. Let n = q - p. Calculate the remainder when n is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -460, -467, -476, -487, -500, -515, -532?\n\"Answer: -a**2 - 4*a - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3764 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5794515?\nAnswer: 3, 5, 128767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -l - 2 - 0. Let r(n) = 10*n + 6. Let c(i) = i + 1. Let z(y) = 4*c(y) - r(y). What are the prime factors of z(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 5953, 11903, 17851, 23797, 29741, 35683, 41623?\n\"Answer: -i**2 + 5953*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + j + 4)*(221 - 72 + 5 + (1 - 4 + 1)*(0 - 4 + 2)).\nAnswer: 158*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 52 = 7*i + 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 173, 1, -108.\nAnswer: -108, 1, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes before 5:03 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 389498?\nAnswer: 2, 194749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = 70 - 67. Suppose -c*y + 5*z - 107 = 6*z, 4*y - 5*z + 149 = 0. List the prime factors of ((-32)\/y)\/4 - (-500)\/18.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 878262 is divided by 2467.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5*15\/45)\/((-2)\/30).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-8)\/x*x*x**(1\/5)*x)\/(x**5*x*x**(-10)\/x))**(-4\/3) assuming x is positive.\nAnswer: x**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-16)\/2 + (-5)\/(-5). Let l(f) = 4. Let w(o) = -o + 13. Give c*l(t) + 2*w(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/d**(-10)*d\/d**(-1))**(-24) assuming d is positive.\nAnswer: d**(-312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -34, -49, -66, -79, -82, -69, -34?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -x**3 - 26*x**2 + 12*x - 75. List the prime factors of a(-27).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 79*k**2 + 81*k - 5. List the prime factors of d(5).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the first derivative of 3*j**4\/4 + 2*j**3 - j**2\/2 + 8*j + 73. Find the second derivative of m(w) wrt w.\nAnswer: 18*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5172608 a multiple of 793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*q = 7*q - 7360. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 5136040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 964341.8 years?\nAnswer: 96434.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 33, 1, -64, -3, -7, 0 in descending order.\nAnswer: 33, 1, 0, -3, -7, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*p - 4*p + 6*p + 4 + p**2 to l*p + d + a*p**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 37, 88, 181, 316, 493?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2*1\/3 - (31 - (-622)\/(-18)). Find p such that -40\/9 + 2\/9*p**2 + i*p = 0.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41152 divided by -2572?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2029 + 1690*t - 849*t - 2029 - 855*t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 18724066 a multiple of 311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -4, 303, 5, 2692, 1, -3 in decreasing order.\nAnswer: 2692, 303, 5, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 264 + -177. Let s = h + -87.00000077. What is s rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(405) + 1*5*sqrt(405) + sqrt(405) + sqrt(405))*-4)**2.\nAnswer: 3732480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 132035.\nAnswer: 5, 26407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -8*s**3 - s**2 + s + 2. List the prime factors of v(-2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.4 - 1.5. What is the smallest value in -3, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -4*11\/176*1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-7)*n**(4\/3)*(n\/(n*n\/n**5)*n*n)**(-1\/13) assuming n is positive.\nAnswer: n**(-239\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the third derivative of 349*i**7\/105 - i**6\/60 - i**5\/30 + 2563*i**4\/24 - 2*i**2 - 272*i + 2. Find the second derivative of t(o) wrt o.\nAnswer: 8376*o**2 - 12*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0043078 to four dps.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -2*n**3 - 40*n**2 + 4*n + 101. Calculate a(-20).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 2*u**2. Suppose -126 = -5*p + 3*p. Let x(y) = -y**2 - 63*y + p*y. Give x(s(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.1 - 0.2. Let x = -25.85 + 26. Let k = x - -1.85. Which is the closest to k? (a) 0.3 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -23, -19, -15, -11, -7, -3?\n\"Answer: 4*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 39140743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 12305419963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-8))\/(3*8\/16)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 21976601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 6*y = -9*y + 18, 5*y = -i + 26. Suppose l - i*l + 25 = 0. Solve -3*h - 4 = 4*w, 0 = -l*w + 2*w + 5*h - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = o**2 - 6*o - 22. Let t be c(11). Let n = t + -29. Suppose 0*p - p = -4*s + 84, -2*s + 52 = 2*p. What is the smallest common multiple of n and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 36775 + -35652. What is the remainder when t is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**2 + r. Let t be o(6). Is (t\/1)\/(0 + -2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 624 + -622. Let y be -2*1*f\/(-7)*-7. Which is the third biggest value? (a) y (b) -31\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -102 > -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 2*f - 15. Let h be y(3). Find the common denominator of 1\/2 + 66\/27 and 1*(6\/40)\/(h\/(-3)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 57\/4, -1\/2, -2\/5, 2, 15.\nAnswer: -1\/2, -2\/5, 2, 57\/4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 7, p: 4}. Give prob of picking 1 n and 1 p.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 683*s**3 - 684*s**3 + 2*s**2 - 3*s + 0*s + (0*s + s - 3*s)*(8*s**2 - 2*s**2 - s**2) in the form a*s**2 + y*s**3 + q*s + l and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -10*z - 108. Let r be j(-11). Suppose 4*s - r*q - 38 = 0, 0 = 5*s + 3*q - 2 - 40. Solve -9*p = s + 27 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 287*m**2 + 5*m + 6. Let h(d) = -d**2 - 2*d - 2. Determine 3*h(n) + w(n).\nAnswer: 284*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(-16\/7)*o**2*o**(-41)*o\/o**40*o assuming o is positive.\nAnswer: o**(-555\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 53 + -48. Let j = -1 + 3. Solve -j = t, -y*t + 7 - 27 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -42820482607 + 3.\nAnswer: -42820482604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -3*k**2 - 11. Let n(q) = 3*q + 564086 - 564086. Calculate m(n(f)).\nAnswer: -27*f**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -12 + 13. Suppose -2 - 4 = 3*c. Is (f + c)*(-309)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 468 minutes before 10:51 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2688 and 240.\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 5901481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 13005748*g**3 + 18*g + 141162?\nAnswer: 78034488*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2428\/7 - -347. Suppose 0*a**2 + 3\/7*a - z*a**3 - 2\/7 = 0. What is a?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 56\/393 + -34411\/12576. What is the common denominator of o and 5\/16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*-5*sqrt(242)*2 + ((sqrt(242) + 0 + sqrt(242))*-2 - (sqrt(242) + (sqrt(242) - 3*(sqrt(242) + 2 + sqrt(242))))))*2)**2.\nAnswer: 26400*sqrt(2) + 2420144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:31 PM and 3:05 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r**3 - r**2 + 3*r + 9. Let q be h(-2). Suppose 0*m = -q*m - 35. Which is smaller: m or -27\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -155\/9 + 17. Let b = 121 - 91. Let y be 0\/(b\/(-6)) + 1. Sort y, 0.07, t.\nAnswer: t, 0.07, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 240 divided by 2?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/30)\/((-150)\/625) + -1\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 4*o - 15. Let q be 6\/18*(-3)\/2*(-528)\/44. Let p(w) = 7*w - 29. Determine q*p(k) - 11*m(k).\nAnswer: -2*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 7) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20362329?\nAnswer: 3, 13, 79, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 436 (b) 2\/31 (c) 0.2 (d) -2 (e) 0.4 (f) -0.1 (g) 14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 85 (c) 0.5 (d) 0 (e) 1\/9 (f) -313\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ededeeedddde. Give prob of picking 2 e.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from {s: 5, p: 2, g: 2, o: 1, b: 1, m: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 10221001110 (base 3) to base 10\nAnswer: 77313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3.84 - 441.84. Let l = c - -442. What is the fourth biggest value in l, -4\/7, -0.5, -0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4971, 5149, 5403, 5727, 6115?\nAnswer: 6561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:38 PM and 10:31 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 8 - (10 + -5) - (1 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 5206, 10411, 15616, 20821?\n\"Answer: 5205*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*d**2 + 4*d**2 + 2*d**2 - 5*d**2 + 4*d**2 + 2*d**2 - 1 + d**2 + 1 + (3 - 2 - 3)*(3 - 3 - 2*d**2) - 4*d**2 + d**2 + d**2 + 4*d**2 + 9*d**2 + 7*d**2.\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:18 PM and 5:55 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 627 = -320*b + 353*b. What is the remainder when 225 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 21354 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50554878?\nAnswer: 2, 3, 11, 765983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the second derivative of -r**4\/4 + 17*r**3\/3 + 25*r**2\/2 - 22*r. Let v(m) = 2*m**2 - 22*m - 17. Let h(i) = 5*u(i) + 7*v(i). Give h(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1653\/20 - -501\/4. Let d = q + -42. Which is the closest to 0? (a) 4 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5047401?\nAnswer: 3, 797, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-234)\/143 - (-3 - -1).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o**2 - 7*o - 4. Suppose -n + v + 34 = 3*n, 10 = -5*v. Determine t(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1553, -2393, -3747, -5615?\n\"Answer: -257*d**2 - 69*d - 1227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 14 + 598?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -6271596 divided by 36252?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 9, -2898, -27, 0 in ascending order.\nAnswer: -2898, -27, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.324 + -0.816. Let d = i - -1.54. Which is bigger: d or 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10478880 a multiple of 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 + 0. Let p be v + (1 - 2 - 135). Calculate the remainder when 53 is divided by p\/(-10) - 7\/(-35).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 1 = 0, 4*r + 3*c = 6*r + 41. Sort r, 1, 2 in ascending order.\nAnswer: r, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(1\/8)*i)\/i**(-2\/5))**16 assuming i is positive.\nAnswer: i**(122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -1347*n + 33986 = -304*n + 5825 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k. Let f(l) be the first derivative of -3*l**2 + 1 - 1 + 2. Determine w(f(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7397, -14725, -22041, -29339, -36613, -43857, -51065?\nAnswer: -58231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - a = -138, -43*a + 44*a = 4*o - 264. Suppose 11*q - 2460 = -q. What is the remainder when q is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-428)\/(-1) + 5 + -9. Suppose 5*q = -5*w + 4370, -q + v + 460 = -4*w. Let c = -289 + q. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 - -1. Suppose -j = -d + 3. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 >= -6655894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8139669?\nAnswer: 3, 2713223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 u and 1 b when four letters picked without replacement from {b: 4, c: 2, n: 3, v: 2, u: 7}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 662*b**2 + 876*b + 1 wrt b.\nAnswer: 1324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1062 a factor of 198530968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -193\/1051050 and -68\/1365.\nAnswer: 1051050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 62 = 2*m, -2*m - 17 - 5 = -2*p. Suppose -15552 = -4*a - 2*s, -18*a + p*a + 2*s = -15560. Is a 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 1624?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Product of -267 and 200.\nAnswer: -53400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by 28551574\nAnswer: -2\/14275787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) 3 (c) 364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 939.4455l?\nAnswer: 939445.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - -7 - (3 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 1656 - 111 = 37*q - 455 + 76 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -271 or -1898\/7?\nAnswer: -1898\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 127.32007 rounded to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 2*w**2 - 7*w - 147. What are the prime factors of p(17)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22304 is divided by 2476.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2720 and 136?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4177 is divided by 835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -382.9 + 378.9. What is the nearest to -10 in -0.4, -2, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -8fa (base 16) to base 6\nAnswer: -14350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 34616617 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand b**5 - 5*b**5 + 2*b**5 + (-b**2 + 4*b**2 - b - 5*b**2)*(8*b**3 + 9 - 9).\nAnswer: -18*b**5 - 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 288*105.\nAnswer: 30240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 111 and 370.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.6 - -5630872?\nAnswer: 5630871.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 30 + -26. Let r(n) = n**3 - 2*n**2 + 3. What is the tens digit of r(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -238 * 2253.\nAnswer: -536214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -594 - -593.9981. Round c to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) -2.988 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 8 * 154\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1 + 1. Let s = 473\/8 - 59. Let t = 57\/2 - 403\/14. What is the second smallest value in s, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 16 and 68648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -581*j - 498. Let r(s) = s + 1. What is b(q) + 498*r(q)?\nAnswer: -83*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of -4.62 and 6452.4.\nAnswer: -29810.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24)\/(-18) - (-256)\/(-480).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 26547 - 26547. Let h(d) = -d**2 + 6*d - 46. Give h(r).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f**0)**(-3))**(-1\/4))**(-23\/4) assuming f is positive.\nAnswer: f**(-69\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**2. Let s(p) = -85*p**2 - 80*p + 5. Let w(o) = -42*o**2 - 32*o + 2. Let l(j) = 2*s(j) - 5*w(j). Calculate -l(g) - 12*y(g).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1781, -1981, -2147, -2273, -2353, -2381?\n\"Answer: t**3 + 11*t**2 - 240*t - 1553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -2, -3, -1, 39685, 59 in descending order.\nAnswer: 39685, 59, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -146 (base 7) to base 15\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -v + 10 - 4, 0 = -v + 5*j + 14. Find the first derivative of 126 + 34 - 37 + 40*c**4 + 84*c**v wrt c.\nAnswer: 496*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t**5\/8 - 255*t**4\/4 + 21*t**3\/8 + 897*t**2\/2 + 765*t\/2 = 0 for t.\nAnswer: -170, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -17 in 0.1, 5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**3 - 3*j**2 + j + 9. Let x = -8 - -4. Let n be i(x). Suppose v + p = n, 0 = -3*p + 5*p + 6. 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 the hundreds digit of 1857623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 4 = 0, -3*l + 0*l + 13 = 4*d. Suppose 112 = 5*f + 3*v, v = 2*v - d. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3068*u - 3074*u + 59502 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 10\/6 + (-2)\/3. Suppose -3*f + p = 2*q, 5*q = -2*f - 11 - 3. What is the units digit of q\/2*(-21)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2724 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -91159213.4 to the nearest 10000.\nAnswer: -91160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5237720.\nAnswer: 2, 5, 37, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -2*q**2 + 12*q + 4. Let o be w(6). Solve o = -3*k - k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (5\/2)\/(20\/16). Solve 4*i + 4*t = 36, -6*i + 4*i + 2 = -s*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24873779.\nAnswer: 7, 103, 34499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -154*u + 11 + 4 - 15 + 314*u - 158*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 76 - 76.7. Suppose -21*x + 22*x = -2. Let n be (66\/(-9))\/2 + x\/(-3). Put n, 0, r in descending order.\nAnswer: 0, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4534*a**2*s**3 + 2*a**2*s**2 + 3961*a**2 - 65*a*s**3 - 186*a*s**2 + 2*a*s wrt s.\nAnswer: 27204*a**2 - 390*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 854 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: Suppose 35 = 9*d - 4*d. Let b(r) = 4*r**2 + 5*r + 52. Let j(x) = -6*x**2 - 7*x - 78. Let k(u) = d*b(u) + 5*j(u). Differentiate k(i) wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 22.61 + -22.61004635. What is k rounded to six dps?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13 or -1544085.8?\nAnswer: -1544085.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 2, p: 6, f: 1, m: 1, x: 7}. Give prob of sequence axf.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85*s + 4*i = 80*s + 39, -s = -4*i + 21. Let n be (-1)\/4*-2*2. Let z = -24 + 20. Sort 5, n, z, s in decreasing order.\nAnswer: 5, s, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -7*r**2 - 3*r. Let q be h(6). Suppose -695*b + 2015 = -700*b. Let k = q - b. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 25177 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 4164813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -936*g**3 + 2*g - 2*g - 1414*g**3.\nAnswer: -2350*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 46126 = 206711. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 66 and 1947.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1230\/50 + (-4)\/(-10). Calculate the highest common divisor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/22 + 18\/66*-487. Calculate the remainder when ((-2)\/(-1 + 3))\/(7\/t) is divided by (-3 + 4)\/(3\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the first derivative of 5*i**3\/6 - 7*i + 8. Let c(p) be the first derivative of z(p). Let v(k) = -2*k**2. What is v(c(o))?\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 5*n**3 + 3 - 9*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 9558341 to the power of 1\/2, to the nearest integer?\nAnswer: 3092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*h - 4*h + 5*h)*(-242*h - 257 + 257 + (2*h - 5*h + 2*h)*(-4 + 1 + 1)) as s*h**2 + y*h + k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sxsx when four letters picked without replacement from {s: 12, x: 3}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 2\/10 - (-312)\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1 - 3)\/((-2)\/2). Let s = -4403 - -4431. Suppose 3*r = m*t + 4, 0*r - 4*t + s = 5*r. Calculate the highest common divisor of r and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 3*z**2 - 2*z + 4. Let a(x) = 3*x**2 - 2*x + 5. Let l(h) = -2*a(h) + 3*b(h). Let i be l(4). Find the common denominator of 3 + i\/(-20) - -2 and -53\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w + w - 9. Suppose -w*c + 2 = 11. Let f = c - -7. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cf when two letters picked without replacement from {h: 1, q: 2, f: 6, c: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 3*l**2 + 8*l - 4. Let h be w(-8). Suppose 2*o - 62 = 2*c + 3*c, 3*c + h = 4*o. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 269 and 64?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 37918 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.5 + -2.5. Suppose 20 = -5*q + 3*m, -17*m + 14*m + 13 = 2*q. Put g, -4, -2, q in decreasing order.\nAnswer: q, -2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -240 - -275. Calculate the smallest common multiple of 40 and b.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -205572449 divided by 12092497.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.05073 times -0.2?\nAnswer: 0.010146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -4, 2\/9, 2\/15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 549 minutes before 3:29 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 7965 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -4837145 (base 11) to base 3\nAnswer: -120212012010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 23 - 25. List the prime factors of 0\/(g - 1) - -269.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -164 - -161. Let f(w) = -5*w**3 + 3*w**2 + w + 4. Let y(l) = 4*l**3 - 2*l**2 - l - 5. Let t(x) = a*f(x) - 4*y(x). Give t(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 2*z = -984, 4*c + z + 376 = 1362. Let p = c + -16. List the prime factors of p.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 5*n**2 - 3*n + 4. Let q = -106 - -109. Determine u(q).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by -193\nAnswer: -4\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2088 + 928. What is q rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -114*l**2 + 81*l**3 + 1 - 1 - 66*l**2 + 180*l**2.\nAnswer: 81*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 194 - -88. Suppose -33*m + 30*m = -z. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -243 + 1477\/6. Let d = 264471575\/1571 + -168346. Let y = d + -177631\/18852. What is the common denominator of y and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -189697095*x**3 - 161720590 with respect to x.\nAnswer: -569091285*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1990250 divided by 4.\nAnswer: -995125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -23 minus 445?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = 25 - 9. Suppose 3*t - 3*b - 20 = 10, -3*t - 3*b + 42 = 0. Let v be t\/(-5)*60\/(-9). Calculate the highest common divisor of x and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 20 by -155.\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 7*g + 55. Let q(a) = -a**2 + 40*a + 169. Let x be q(44). Give h(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 7*p**5 + 5216*p**4 + 1281648*p**3 + 100329218*p**2 - 861790679*p + 664156542.\nAnswer: (p - 7)*(p + 251)**3*(7*p - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -1532643 divided by 218949\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.5*-462.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**2 - 2*g + 27. What is i(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0, -1, 14 in decreasing order.\nAnswer: 14, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 544336894?\nAnswer: 2, 137, 1986631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-1)\/(-2))\/(19\/190). What is the biggest value in -7, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1691*y - 4913 = 14013 + 11377 - 4938 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-90)\/28)\/(-3)*(13 - (-2270)\/(-180))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0\/((4 - 3) + 0). Suppose 3*s - 54 = -l*s - 5*i, -2*s - 3*i = -35. What is the remainder when s is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hehatxaxehaahaeha. What is prob of sequence ee?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 42 + 13 = 11*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-6 + 3)*4\/3. Let d = -36 - -26. Let m = f - d. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 + 1d?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 1110448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 3*s**2 - 15*s**2 + 13*s**2. Let j(q) = 2*q - 5. What is j(g(d))?\nAnswer: 2*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*o + 18 = 23*o. Let d(v) = v**3 - 8*v**2 - 10*v + 11. Let j be d(o). Suppose 2*l - 8 = -j*l. Solve -l*m + 4*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**2 + p + 1. Let s be c(9). Suppose 129 = 5*q - s. Is q a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 58*q - 207. Does 7 divide k(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -402, 2\/3, 0.2, 0.05 in descending order.\nAnswer: 2\/3, 0.2, 0.05, -0.1, -402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 23279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3954 divided by 20.\nAnswer: -1977\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z**3 - 2*z**2 - 191*z - 18. Give r(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 + (-255)\/(-54))*(10 - (-288)\/(-30))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4 - -2.9. Let w = 1.0968 + y. Round w to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2\/(-28))\/((-11)\/33). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 22 and 69619.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -6*i + 60. Let x(r) = r - 12. Let q(b) = -2*u(b) - 11*x(b). Suppose -14 = 4*j - 2*j. Let a be q(j). Sort a, -2, 3 in increasing order.\nAnswer: -2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11698 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*((-13)\/(-78))\/((-1)\/(-1))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 14 = -6. Let t be (y\/24)\/(6\/4). Let s = -4.65 - -4.65. Which is the nearest to -0.2? (a) t (b) s (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 395 = -149*t + 991 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -33, -5 in decreasing order.\nAnswer: -4, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 3*d - 24. Let i be r(8). Let s be 10\/3*(6\/4 + i). Let b(a) = -a**3 + 5*a**2 - 6. Give b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 5*n + 2*n - 3*n. Let r(v) = 2*v + 5. Let z(x) = -2*x - 4. Let i(y) = -4*r(y) - 5*z(y). Calculate i(s(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the second derivative of -x**8\/1344 + x**4\/4 + 7*x**2\/2 + 48*x. Let s(d) be the third derivative of u(d). Find o such that s(o) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76)*6*4 - sqrt(76))*2)\/(sqrt(16)\/((sqrt(484) - (sqrt(484) - ((sqrt(484) + 3*sqrt(484) - sqrt(484)) + sqrt(484)))) + sqrt(484))) + 4.\nAnswer: 4 + 2530*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8334707 is divided by 597?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -26 times 1633335\nAnswer: -42466710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 98219408.\nAnswer: 2, 7, 31, 28289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p. Let m(q) be the third derivative of -q**4\/24 + q**3\/3 - 2*q**2. Let r(f) be the first derivative of f + 2. Let t(h) = m(h) - 2*r(h). Give t(l(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 19 (b) 5 (c) 4 (d) -7 (e) -0.5506\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((s*s\/((s**1\/s)\/s)*s)\/s*s)\/s)**(2\/5)\/(s**(-1)\/s)**(-2))**(-3\/20) assuming s is positive.\nAnswer: s**(21\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, x: 1, j: 14, v: 1, h: 1}. Give prob of sequence xv.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 7069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand g**4 - g**4 - 3*g**4 + (3*g**3 - 4*g**3 + 2*g**3)*(g - 2*g + 6*g) - 3503*g**2 + 3503*g**2 - g + 11*g**4.\nAnswer: 13*g**4 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be (963\/428)\/((-3)\/104 - 0). Calculate the remainder when 109 is divided by (2 + 25\/(-10))*u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 922, 788, 570, 268, -118, -588?\n\"Answer: -42*w**2 - 8*w + 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 7147+-0.3\nAnswer: 7146.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -12072\/11, 119 in increasing order.\nAnswer: -12072\/11, 0.1, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -4*w + 10. Calculate y(9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -23 or -27199\/1264?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 2*l**2 + 3. Suppose -3 = 2*q + 7. Let p(b) be the second derivative of -b**4\/12 - b**2 - b. Let c(u) = q*p(u) - 3*g(u). Give c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 14*y - 47. Let k be s(4). Suppose k*i = 41 - 176. Which is greater: -31\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 3.815 and -2?\nAnswer: 5.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1\/((-15)\/(-54)) - 0)*16345\/934. Solve j*s + 0 = -63 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 56485246.\nAnswer: 2, 2927, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -4, -20\/9, 6\/13, 4 in descending order.\nAnswer: 4, 6\/13, -20\/9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:06 AM and 9:57 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 7*c**2 - 24*c**2 - c**3 + 20*c - 36*c + 4. Calculate the remainder when 15 is divided by a(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 6, v: 2, x: 3, u: 2}. What is prob of picking 1 u and 1 x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 35783 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 5*m**2. Let q(r) = 10*r - 58. Let c be q(6). Let n(a) = -11*a**2 - 5*a**2 + 34*a**c - 10*a**2. What is s(n(t))?\nAnswer: 320*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z - z + 12 = -3*k, -4*z + 5*k = -48. Suppose 0 = 3*g + z, -2*g + 49 + 39 = 4*u. Let v(p) = 4*p - 2*p - 27 + 60 - u. Calculate v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes before 5:09 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-64)\/12424*2\/(-12)*-3. Let q = -184767\/15530 + d. What is the common denominator of 43\/20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 85082 or -0.039?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 100 = -3*h + 8*h. What is the greatest common factor of 30 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -79776 by -19944.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k = 12*k - 9096. Suppose 0 = -2*d - 3*v + 3046, -d + k = -0*d - 2*v. Round d to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -305 - (5 + -6 + 0). Let x = -301 - i. Calculate the greatest common factor of 315 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = 46 - 532. Suppose -5*t + p = f - 2*t, 3*f + 4*t - 744 = 0. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -5.19734 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -173207, -173215, -173215, -173201, -173167, -173107?\n\"Answer: h**3 - 2*h**2 - 9*h - 173197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 379277719?\nAnswer: 379277719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16390 and 417945?\nAnswer: 835890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -372*j**6 + 170*j**2 wrt j.\nAnswer: -44640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -242*y**2 - 286. Let t(s) = -484*s**2 - 572. Let p = -641 + 646. Let r(c) = p*n(c) - 2*t(c). Differentiate r(b) wrt b.\nAnswer: -484*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -207*o + 422. Is 36 a factor of d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 7.794 (b) -0.1 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the first derivative of -4*w**3\/3 + w**2\/2 + 3*w + 1. Let i be g(-3). Calculate the common denominator of 3\/20 and 2\/3*129\/i.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1605562573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3\/7 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 13035 divided by 2607?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 17212246153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tml when three letters picked without replacement from {l: 2, t: 3, k: 1, m: 6, u: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:23 PM and 3:06 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 162 and 918.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39082 is divided by 7814?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**2 - 12342*b + 61692. Give a(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -250*w. Let y(x) = -x. Calculate y(t(g)).\nAnswer: 250*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 16 = 0, -y + 3356 = 4*p + y. Suppose 4*o - 4*c - p = -c, -861 = -4*o - c. Suppose -5*r - o = -7*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -18627b2 (base 12) to base 8.\nAnswer: -23363766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v - 2 = 0, p = 2*p + 2*v + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 67221.84 nanograms to kilograms.\nAnswer: 0.00000006722184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**3*(j*j**7)\/j)\/(j**(1\/3)\/j*j*j*j*j**(-2\/5)*j) assuming j is positive.\nAnswer: j**(106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -3*h - 4. Let z(v) = 6*v + 9. Let d(b) = -9*n(b) - 4*z(b). Let s(p) be the first derivative of -1\/3*p**3 + 0*p**2 + 0*p - 4. Determine d(s(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 0 + 2bb?\nAnswer: 2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o**2 + 1. Let r be b(1). Suppose 6*x - x = r. Solve s = 1 - x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 312 - 1133 + 4357*i + 190 + 170 wrt i.\nAnswer: 4357","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 403 and 4472.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5454 - -5453. Put 4\/7, 0.1, -0.1, n, 4\/5 in increasing order.\nAnswer: n, -0.1, 0.1, 4\/7, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 32*a + 3. Let o(r) = -66*r - 8. Calculate 5*m(w) + 2*o(w).\nAnswer: 28*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:03 PM and 9:28 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 448 != 448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-174 + 39 - 73 - 31)*(c**2 - c**2 - c**3).\nAnswer: 239*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s**2. Suppose 8 = 3*j - j. Let d(r) = j*r - 2*r**2 - 2*r - 2*r. Calculate d(n(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2934175 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8915 - -8915. Solve 0 = 4*k + 4*v, w*v + 12 = 4*v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -67 + -7. Suppose -3*k + 2*y + 164 = -271, -725 = -5*k - 2*y. Let r = k + d. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2269 + b1?\nAnswer: 234a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 28 + -591?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2048995590?\nAnswer: 2, 3, 5, 68299853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 397 + -73?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -46457376 - 2727*d + 46457376.\nAnswer: -2727*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1939963 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1 - 0 - (-1 + -4). Suppose -g - 2 = -4. Let t(p) = p**3 + 3*p**2 - 2*p + 7. Let m be t(-4). Sort m, q, g.\nAnswer: m, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01007 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -119\/674440 and -27\/80?\nAnswer: 1348880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y + 41 = -9*g, -4*y = 138*g - 134*g + 12 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -11548, -22960, -34372, -45784, -57196?\n\"Answer: -11412*v - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f when three letters picked without replacement from afafafaaaaafaa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2406896 is divided by 2914?\nAnswer: 2846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 3\/2377 (b) -3 (c) 2\/49 (d) -2\/7 (e) -37 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-59)\/590*(-190)\/(-133).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 190304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d = -x - 9, 34*x + 3*d = 38*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -1. Let f(r) = -166*r**2 + 2. Determine -f(n) - 2*j(n).\nAnswer: 166*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 120 is divided by 104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -13*g*u**3 - g*u**2 + 27623*g*u - 5*g + 11*u**3 + 63*u**2 + 3 wrt u.\nAnswer: -78*g*u - 2*g + 66*u + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/2 - 9\/(-12). Let r = -11338 + 11333. Suppose 3*h = -4*z + 4, -3*z + 3*h + 8 = 4*h. Which is the closest to p? (a) 9 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 36*5*8\/(-180)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bobfowtbb. What is prob of picking 2 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 2*s**2. Let t(c) be the third derivative of 19*c**4\/24 + 2*c**2. Determine f(t(x)).\nAnswer: 722*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b. Let o be (-3)\/(3\/6*-3). Let w(t) be the first derivative of 1\/2*t**o - 2 + 0*t. Give h(w(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) -0.5 (c) 12 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((4 - 4 - f)*(-2 + 0 + 1) + 0*f - 2*f + 0*f)*(3429 + 3678 - 6608) to the form m + b*f and give b.\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gl when two letters picked without replacement from {l: 3, s: 2, z: 3, q: 7, g: 2, k: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, 1\/5, 10, 0.06, 1\/11 in increasing order.\nAnswer: -1\/3, 0.06, 1\/11, 1\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 5 = -2*y, -2*y + g = 2*g - 9. Suppose 2*r - r = -y. Let l = -0.12 + 1.02. What is the closest to l in 0.5, r, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.0362 - 0.1001. Round g to 3 dps.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 - (-9 + 14) - (2 + 4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(-15) - 0 - ((-33)\/(-1353))\/((-460)\/(-7774)).\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -3535 < -3535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 317, 632, 947?\n\"Answer: 315*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 69 a factor of 203510187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 1, w: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 3209*n - 3390*n = 5973 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 15*k**3 - 4149*k**2 - 80945 wrt k.\nAnswer: 45*k**2 - 8298*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*i**5 + 6*i**5 + 4*i**5 - 6*i**2 - 6*i**2 wrt i.\nAnswer: 900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.4 and 218?\nAnswer: 87.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -30121 (base 4) to base 13\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 88880 (base 9) to base 4\nAnswer: 32122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-34409604)\/42 + (-2)\/(-7). Let m = -89683 - -38959. Let z = m + n. What is z rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 48 + -48.00404. What is x rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/13? (a) -0.0715 (b) 30 (c) 2\/7 (d) 4 (e) 2 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10736 + -11137.9. Round s to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.06 in -96, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1a710 - -2?\nAnswer: -1a70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.79 in 1\/10, 0.2, 16, 1\/2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 306685 and 1577?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6692 - 890. What is the third derivative of w + 72*v**3 + 226*v**2 - 5802 wrt v?\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/(-5)*(-175)\/910?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -4.4 times 2.77702\nAnswer: -12.218888","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Let x be (-492)\/(-41) + (-9 + 3 - 2). Solve -5*u + 6*u - 9 = -2*j, x*j = 5*u - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3698 != -8868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 531 - 531. Which is the nearest to -2? (a) 0.8 (b) 4 (c) v (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 723102 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -8, -19 in increasing order.\nAnswer: -19, -8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes after 6:01 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 110 + -114. Let c be 3\/((8\/q)\/2). Let u(b) = -3*b**2 - b + 1. Let k(p) = 3*p + 2 - 2*p**2 - 5*p - 2*p**2. Determine c*u(i) + 2*k(i).\nAnswer: i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -28, -98, -222, -406, -656, -978?\n\"Answer: -m**3 - 21*m**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-2)*-4*(-5)\/70?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1455 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1015145 (base 7) in base 11?\nAnswer: -83600","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: 9 + (101\/202)\/((7 - 6)\/62)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2981582442 to the power of 1\/2, to the nearest integer?\nAnswer: 54604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be 27\/108 - 30\/(-8). Solve 0 = 3*w - 9, 0*m + m + k*w = 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3671 - 2257. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 493063, 986144, 1479225, 1972306?\n\"Answer: 493081*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (-5*(sqrt(27) - (sqrt(27) - sqrt(675))))\/sqrt(9) + 0 + (sqrt(1176)*1)\/sqrt(8) + sqrt(36)\/(sqrt(48) - sqrt(432)).\nAnswer: -73*sqrt(3)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 1.722, -2442, 0.5 in increasing order.\nAnswer: -2442, 0.5, 1.722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3838611.\nAnswer: 3, 7, 26113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 62116893?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 70*q - 1536. What is k(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -0.738978 * 3\nAnswer: -2.216934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2092763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of ((-140)\/(-8))\/((-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s + 176 = -424. Round s to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17166859 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -111 divided by -48.\nAnswer: 37\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -113*m**2*t**4 - 130*m**2*t**2 - 2*m**2 + 3*m*t**4 - 15*m*t**2 - 3*m*t - 402*t**3 wrt t?\nAnswer: -2712*m**2*t + 72*m*t - 2412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3 + 13*m**2 + 14*m + 5. Calculate the remainder when c(14) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o + 945 + 127060. Suppose -35 = -11*f - 2. Suppose 4*g + o = s - 0*s, -31985 = g + f*s. Round g to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(4\/7))**(-1\/45)\/(o**(1\/3)\/(o\/(o*o**(-6\/11)))) assuming o is positive.\nAnswer: o**(691\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-16) - (-4 + (-11 - -15)). Let z(n) be the first derivative of 0*n**2 + s*n**4 + 1\/6*n**3 - 4 + 0*n. Find l such that z(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 4*j**2 - 5*j**2 - 8198 - 8*j + 8212. What is the tens digit of a(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from prgrulw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*d + 4*d = -4*k + 44, -3282*k + 3281*k + 4*d + 11 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -9520, -19040, -28560, -38080, -47600, -57120?\n\"Answer: -9520*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*n**3 - 12*n**3 - 11*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1259 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the first derivative of 2*v**3\/21 - v**2\/7 - 17. Solve c(o) = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = b**3 + 37*b**2 + 341*b - 2. Give r(-20).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find l such that l**5\/11 - 65*l**4\/11 - 1770*l**3\/11 + 14840*l**2\/11 - 18400*l\/11 - 34944\/11 = 0.\nAnswer: -26, -1, 4, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 16445 = 728*g - 13*g for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -3697, -3704, -3715, -3730?\n\"Answer: -2*i**2 - i - 3694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 246258992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8 and 446536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -16 (base 7) to base 8.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6221*d**3 - 6268*d**3 - 7652*d**3 + 20093*d**3.\nAnswer: -48*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21123 = -35*d + 17097. Let p be d\/49 - -2 - (-2)\/(-7). Is 0 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1e0ed4 (base 16) in base 9?\nAnswer: -3632141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c - 29 + 25 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccci when four letters picked without replacement from {i: 3, z: 4, c: 11}.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 522 - 523.928. Let d = 56.8 + -55. Let q = y + d. What is q rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 8.892, -0.2, -5, 81 in decreasing order.\nAnswer: 81, 8.892, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 258868841*f**4 + 333*f**2 + 15996*f + 7 wrt f?\nAnswer: 6212852184*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be (3 - 12901\/4305)\/((-2)\/6). Let a = -623\/820 - h. Sort -10, a, 0.2.\nAnswer: -10, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*a + 95*a + 73 + 122*a + 31*a.\nAnswer: 224*a + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4.87 - -0.13. Let w = 41 + -46. Put w, 2\/3, u in increasing order.\nAnswer: w, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*m + 2*l - 935, m + 4*l - 3*l = 312. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*p = -5*p - 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5184 + 4003 = -475*u + 1523 + 64 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3333121 to the power of 1\/2, to the nearest integer?\nAnswer: 1826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 89 or 88?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -79\/310 and 39\/41540.\nAnswer: 41540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*c + 3 + 6321639*c**2 + 10*c - 1.\nAnswer: 6321639*c**2 + 13*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*sqrt(539) + (sqrt(88)\/sqrt(8) + 2)**2 - (sqrt(44)*-2*-4)\/(sqrt(256)\/sqrt(4)).\nAnswer: 15 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -113\/85 + 679\/255. Let -i*t**2 - 56\/3*t - 196\/3 = 0. Calculate t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20812 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 2, b: 4, y: 5, v: 2}. Give prob of sequence mmy.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the second derivative of -t**3\/3 - 5*t**2 - 2*t. Let q be b(-5). Let s be 0 + (q - (-2 + 3)). Let n(x) = 3*x**2. Calculate n(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0\/3)\/(6 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 99717593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -i**2 - i + 4. Let k be f(-2). What is the derivative of 63*w**2 - 37*w**2 - 3*w - 12 - 32*w**k wrt w?\nAnswer: -12*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:35 AM and 12:11 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 138047.3388s?\nAnswer: 0.228252875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -81 + 42. Let d = a - -85. Let i = 45.916 - d. Round i to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2316 and 198888623.\nAnswer: 2386663476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -15114 (base 9) in base 12?\nAnswer: -5b64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 64*h - 339 + 90 = 135 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 4*n + 923, 3*q = 729*n - 734*n + 539. Solve 223 = 8*j + q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*q**3 + 21608*q**2 - 43200*q.\nAnswer: -4*q*(q - 5400)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 964076 (base 12) to base 15\nAnswer: 31c756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1180030939140.91 + 3.\nAnswer: -1180030939137.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**2 + 142*t - 1596.\nAnswer: -2*(t - 57)*(t - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z - p = 40, 6156*p + 1968 = 4*z - z + 6057*p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6858 = -25*x - 1708. What are the prime factors of x?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 372 divided by -4.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*i + 4 - 4 + 4 - 4 + 2*i + (-1 + 2 - 4)*(i - 4*i - i).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -4*r. Let k = -1 + -1. Let t be h(k). Let i = -316 + 372. What is the highest common factor of i and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Are -7\/15 and -0.17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 4*o - 12 = 0, -2*r + 5*o = -0*r - 15. Let q be (0 - r) + 10\/(-105). Which is the biggest value? (a) q (b) -5 (c) -3 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 46 - 2. Let l(i) = i**2 - 4*i - 26. Is 17 a factor of l(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 546 + -366. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*b + 3*b, -u = 5*b - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 293 = 22*m + 315 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -7*i + 5. Let z(w) = 8*w - 6. Suppose 16 = -2*x + 28. Calculate x*z(n) + 7*o(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 304617 = 842*g - 2191*g - 2901*g - 913*g for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/39594 and -53\/112.\nAnswer: 2217264","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What is 15900 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 40333 (base 5) in base 13?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(1100) + -4)*-3.\nAnswer: -30*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence royz when four letters picked without replacement from ylrlzdoy?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -59023, -118046, -177069, -236092, -295115?\n\"Answer: -59023*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -229572\/11 - -20870. Let u = -13 - -6. Let n = -7.3 - u. Which is the second biggest value? (a) j (b) -2\/15 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 587 is divided by 194.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -0.04, 0.3, 8 in ascending order.\nAnswer: -0.04, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 6 (base 14) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*q**3 + 18*q**2*z**3 + 2*q**2*z**2 + 13*q*z**3 + q*z + 4*z**3 wrt q?\nAnswer: 30*q + 36*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 406639?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the second derivative of d**3 + 23*d**2\/2 - d. What is the derivative of l(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 7867, -8, -280, 5, -4 in descending order.\nAnswer: 7867, 5, -4, -8, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 27*l**3 + 4*l**2 - 22*l - 3. Calculate the remainder when r(3) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1987 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**5)**(2\/33))**(-50) assuming x is positive.\nAnswer: x**(-500\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -5*s - 5. Suppose -4*i + 4*d = -32, -12 = -i - d + s*d. Suppose -1 = -4*x - 2*r - 3, i = -5*x - 2*r. Which is smaller: x or -5\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5430645g in nanograms?\nAnswer: 543064500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -20, -70, -168, -326, -556, -870, -1280?\n\"Answer: -2*y**3 - 12*y**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -v - 12 = -2*t, -66*v - 2*t = -71*v - 36 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 2*x**3 + 36608*x**2 + 167554810*x + 334963204 = 0.\nAnswer: -9151, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5.15*-5.\nAnswer: 25.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:31 AM and 4:35 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 24598 and 753?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 352 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j\/(j*j*j\/j**(2\/9)))*j)**(-1\/6))**(2\/17) assuming j is positive.\nAnswer: j**(-2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 55318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -286, -280, -272, -262?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*o**2 - 134150*o - 899811125.\nAnswer: -5*(o + 13415)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the second derivative of 8*n**7\/21 + 8*n**3\/3 + 11*n. What is the second derivative of t(f) wrt f?\nAnswer: 320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**2 + 1298*i + 104729. Determine y(-86).\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 2201*v**2. Let h(a) = -4*a**2. Give h(d(l)).\nAnswer: -19377604*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gdd when three letters picked without replacement from dggdg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 1, g: 7, j: 2, o: 2}. Give prob of sequence jofg.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -25386*u + 5575. Let r(l) = -63436*l + 13937. Let z(t) = -12*c(t) + 5*r(t). Differentiate z(i) wrt i.\nAnswer: -12548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3*(-3)\/((-9)\/(-7)). Let n = g + 9. Solve 0 = n*i + 2*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17270444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1\/(-2))\/((-2)\/(-4)). Let z be 76\/16 - d\/4. Suppose q - 5*g - 1 = 0, 2*q + z = 3*q - g. What is the lowest common multiple of q and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 6*x = 9. Let l(a) = -8*a**2 - 10*a + 344 - 124 - 115 - 113 + a**3. Give l(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1\/66 - -139\/462. Sort 3\/5, 3, r, 2\/9, -1\/5 in increasing order.\nAnswer: -1\/5, 2\/9, r, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 + -556659?\nAnswer: -556658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 238 - 236. Suppose y - 84 = -2*y. Suppose 0 = -k*a - 126 + y. Round a to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 190 = 2*s - 338, -2*s = -5*g - 144. Calculate the smallest common multiple of s and 46.\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 3*y + y + 221 = 0, 4*u = -3*y + 879. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2451 divided by 9910?\nAnswer: -2451\/9910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 162333 divided by -819\nAnswer: -18037\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 4 - 12 = 0. Suppose 0 = s - b*s - 12. Do s and -4 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 360*y**2 - 3119*y + 3119*y + (2 - 4 + 1)*(5*y + 2*y**2 - 12*y**2 - 6*y) + y**2 + 1 - 1.\nAnswer: 371*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 11 = 3*y. Suppose t = 3*p - 5, -y*p + 27 = 2*t + t. Factor p + 14*m + 12*m**2 + 3*m**3 + 2*m**2 + 1 + m**3.\nAnswer: 2*(m + 1)*(m + 2)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1275307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 125*v - 399*v + 275*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -47 + 68 = 7*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that 4*r**3\/7 - 256*r**2\/7 = 0.\nAnswer: 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21 + (221 - 229) + 2 + 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**3 - 6*n**2 + n + 13. Let u(a) = -a + 27. Let q be u(21). Calculate the remainder when y(q) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -12\/17*f**5 + 4\/17*f + 2\/17*f**4 + 0 + 22\/17*f**2 + 32\/17*f**3 = 0.\nAnswer: -1, -1\/2, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 + (2 - 0) + 3. Let v be 370\/(5*s\/15). What is v rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1407 is divided by 59.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -5\/2220078 smaller than 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14032 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 8*f**2*x - 81765810*f**2 + 2*f - 5122673*x wrt x?\nAnswer: 8*f**2 - 5122673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 25968 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 73 a factor of 8042045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.0476 - 0.0161. Round g to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 111241305 - 1?\nAnswer: 111241304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(-6)*72\/(-228).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*1*sqrt(110))\/(sqrt(480)\/sqrt(3)).\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14963257.\nAnswer: 14963257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5935?\nAnswer: 5, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -6, 0, 2, -3, -4 in descending order.\nAnswer: 2, 1, 0, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-12 + 11)*(-1)\/(-1). Let s = -44 + 309\/7. Which is the closest to y? (a) -2 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -154 - -154.041. Let f = s + 0.13. What is f rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -9, 1, -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 75, 77, 49, -33, -193, -455?\n\"Answer: -4*g**3 + 9*g**2 + 3*g + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 10011000100110 (base 2) to base 14\nAnswer: 37b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 512*f + 69. Let g be l(0). What is the greatest common divisor of g and 1334?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1132.343406676 - 609.34340922. Let r = -523 + i. Round r to seven dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*c**2 - c**2 + c**2 - c**2 + c**2 - c**2 + (3*c - 3*c + 2*c)*(-1 + 1 + c))*(-2*c + 3 - 3) + c**3 - c**3 + c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -12 + 12 + 6*d**3 + (-5*d + 4*d - d)*(1 - d**2 - 1) + 2 + 4*d**3 + 5*d + 0 - 7*d in the form r + z*d**2 + a*d**3 + o*d and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -227 + 448. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7911413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 298*i + 2649. Give w(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -16 - -22. Suppose k*h - 34 = 4*h. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 423 - 3811\/9. Let k = -3 - -5. Which is bigger: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 4*m**3 + 5*m - 5. Let p(v) = v - 1. Suppose -4*k - h = -22, 2*k - h - 483 = -475. Determine k*p(l) - n(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -132*q + 533. Determine m(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*a - 24 = -0. Solve -3 = -u + x, -a*u + 23 = 8*x - 4*x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 61*h**3*w**2 - 2*h**3 + 13*h*w**2 - h*w - 45*w**2 wrt h.\nAnswer: 366*h*w**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -90066155 + -0.15.\nAnswer: -90066155.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in z**2 + 1 - 1 + 8*z**2 + 2*z.\nAnswer: 9*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*b - 9 + 4*b - 2*b)*(6 + 11 - 5)*(b + 0 + 0)*(3 - 3 - b) to f + z*b**2 + p*b + c*b**3 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 26539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22309509?\nAnswer: 3, 317, 23459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -14, -31, 185, -217 in increasing order.\nAnswer: -217, -31, -14, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, w: 2, v: 1, f: 1, t: 1, u: 2}. Give prob of picking 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/92 and 121\/138.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64*m + 4744 + 12554 + 2*m**2 - 436*m = 0. Calculate m.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42.83102l in millilitres?\nAnswer: 42831.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 34 (b) -2 (c) -1\/4 (d) -2\/3 (e) 2\/43 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 51\/((-2346)\/(-92))*8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 26470169 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 0*d = 11*d. Suppose -2*o + 15 = 5*y, 4*y + d*o = -o + 12. Solve -14 = 2*x - 4*w + 3*w, 2*w = -x + y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -113 - -80.1. Let t = g + 33. What is the nearest to t in -2\/21, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 267942.\nAnswer: 2, 3, 44657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((4\/8)\/1)\/(2\/(-4)). Let s be (10\/15)\/r*(4 + -1). Is s >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*w = 31*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 545340 + -2?\nAnswer: 545338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -3, 102 in increasing order.\nAnswer: -3, 8, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 83308959 divided by 4900527?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 360921 and 2343.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -101, -221, -379, -575, -809, -1081?\n\"Answer: -19*s**2 - 63*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -197*t + 192*t + 150 = -5*a, 3*a + 2266 = 67*t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -3, -1, -5, 74 in decreasing order.\nAnswer: 74, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5\/22058 and 15\/4213078?\nAnswer: 4213078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 94 divide 1741444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 4*w**2 - 24*w - 246. Suppose 0 = -6*r + 3*r - 3*c + 57, -4*r = -3*c - 97. What is the remainder when x(-10) is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 3*n**2 + 9*n + 3. What is the remainder when h(-7) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 4.466322 litres?\nAnswer: 4466.322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(77)*-3*1 + 5*-3*sqrt(77))\/(((sqrt(77) - sqrt(77)*-1)*2)\/(sqrt(7) + (sqrt(112)*3 - sqrt(7)) + sqrt(7))).\nAnswer: -117*sqrt(7)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -39 divided by -4659\nAnswer: 13\/1553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -130354 - -3?\nAnswer: -130351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53*p + 52*p = -96. Which is smaller: p or 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 2*l - 12, 4*h = -l + 8 + 7. Suppose 4*y = -8, 2*o = -3*y - 4 - 2. Suppose o = p + p. Solve -9 = -p*x + h*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*q**4 - 300932*q**3 - 7545066732*q**2 - 63003770864460*q + 1009993103794368.\nAnswer: -4*(q - 16)*(q + 25083)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1440.0229074 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -22370722 to the nearest 100000.\nAnswer: -22400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be (26144\/494 + -53)*0. Factor 4\/5 - 3\/5*c**2 + x*c + 1\/5*c**3.\nAnswer: (c - 2)**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -111112010012 (base 3) in base 14?\nAnswer: -6d003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*3*(sqrt(176) + 4)*-6)**2.\nAnswer: 93312*sqrt(11) + 559872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the first derivative of 17*v**3\/3 - 524. Let c(f) = -14*f**2 - 7*f. Let k(b) = -7*b**2 - 4*b. Let x(m) = 4*c(m) - 7*k(m). Calculate g(x(a)).\nAnswer: 833*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9, 6, -1, -12?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 103589030 divided by 530.\nAnswer: 195451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 58170*f**2*p - 2628*f**2 + 4 wrt p.\nAnswer: 58170*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**2. Let s(p) = -43396383*p. Determine o(s(l)).\nAnswer: -1883246057482689*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(-3) + (-194)\/(-12)*(20 + -22)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 1. Let f(v) = -v + 2. Let l(p) = 3*d(p) + f(p). What is l(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y + 112*i - 110*i + 1 = 3, 6 = 3*i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4257 a factor of 381135506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the second derivative of 2*x**3\/3 - 21*x**2\/2 - 3*x + 13. Determine o(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = x**3 + 3*x**2 + 40*x + 46. Calculate s(-7).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 2327, 4650, 6971, 9290, 11607, 13922, 16235?\n\"Answer: -l**2 + 2326*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 45600 and 1621650?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 132*v**2 - 176*v - 208. Let m(l) = 9*l**2 - l - 1. Let s(h) = -i(h) + 16*m(h). Find o, given that s(o) = 0.\nAnswer: -12, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 152.2725m to micrometers.\nAnswer: 152272500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.4, 1\/7, 0.09, 2\/62547, -2\/11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1506 - -1505. Sort 5, p, 104 in ascending order.\nAnswer: p, 5, 104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-2\/7))**(1\/7)*(q\/((q*q\/(q**1\/q*q))\/q*q)*q)**(2\/9)*(q\/(q\/(q*q**0))*q**(5\/4))\/(q**(-1)\/q**(-3\/2)) assuming q is positive.\nAnswer: q**(3407\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3 + 0\/(10 - 6). Let f = -8 + 12. Let y(p) = -f + 1 - 212*p + 213*p. Calculate y(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 148*u**3 - 8*u**2 + 8*u + 17. Let h(v) = -49*v**3 + 3*v**2 - 3*v - 6. What is -8*h(f) - 3*o(f)?\nAnswer: -52*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1079.21 + -1084.21. Let l = 0.02 + -0.42. What is the biggest value in 0.4, l, 0.64, x?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4430 - -7642. List the prime factors of i.\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1573814, -7, 8, 4 in ascending order.\nAnswer: -1573814, -7, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 4*u + 75 = 0. Let s = u - 25. Suppose s = 6*r - 98 - 34. What is the greatest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 641*r**2 - 15*r - 1?\nAnswer: 1282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/108 and 131\/504.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 divided by -17024028.\nAnswer: -11\/17024028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = -313 + 313.0477. Let q = 0.05 + -0.1. Let t = l + q. What is t rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 379 is divided by 80.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:43 PM and 10:33 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*f**4 - 5214*f**3 - 2291403*f**2 - 22524480*f - 55987200.\nAnswer: -3*(f + 5)**2*(f + 864)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.02, 1\/3, 12, 0.2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from yyondoooonyndyyyyoo.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve i = -29*u + 28*u - 2, -13 = 2*u - i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 10685001.8 to the nearest one thousand.\nAnswer: 10685000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 62.48349g to tonnes.\nAnswer: 0.00006248349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -74 - 26 = 25*n - 392 - 283 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n**3 + 3*n**2 + 5*n - 4. Let f be d(4). Let m = f + 2. Suppose -4*h + h = -15, -43 = -3*x - m*h. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7454266 is divided by 162?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, 1\/5, 3\/4, -21, 0.\nAnswer: -21, 0, 1\/5, 0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20454 is divided by 377.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Suppose 144*w - 69809 = -22289. Calculate the remainder when w is divided by 81.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o + 8*o = -1360. Let p = o + 352. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 930561077?\nAnswer: 29, 32088313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = -59 + 75. Let n(f) = -17*f**2 + f**3 + 20*f + v - 14 + 29. Does 19 divide n(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 19 - (-2 + (-1)\/(-1) - -5). What is the highest common divisor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-18)\/3)\/2 - 315. Let r = m - -481. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -4*m**2 + 1249*m + 22391. Give c(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -16, -3, 69286, -5, -1 in decreasing order.\nAnswer: 69286, -1, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 60 + -18. Let z = u + -99. List the prime factors of (-1 + z\/(-9))*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*g = -2*n + 8*g + 46, 4*n = 3*g + 74. Suppose 10*r - n = 9*r - 4*w, 4*r + 4*w = 44. Solve -3*h + 4*z + 9 = 0, -r - 7 = 5*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor j - 3*j**2 + 3*j**4 + 0*j**3 + 3*j**5 + 0*j**3 + j**5 - 5*j**3.\nAnswer: j*(j - 1)*(j + 1)**2*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 87679 or 87677?\nAnswer: 87677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -1012222222112 (base 3) to base 13.\nAnswer: -199847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 761601311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 9465249 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = f**2 + 10*f + 1. Let m be x(-10). Let u = 1101 + -5504\/5. Let p = -0.6 + 0.1. Which is the closest to u? (a) m (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1\/(2\/9 - 25\/45). Let t be g\/2*(0 - 2\/(-3)). Let b(d) = -d**2 - 2*d - 4. Let o be b(t). Sort o, -1, -5, 2 in increasing order.\nAnswer: -5, o, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(18) + sqrt(14)\/(sqrt(14)\/sqrt(2)).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -23, 2, -975, -5 in descending order.\nAnswer: 2, -5, -23, -975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -29, 1, 2, -6.892, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10560 and 2112.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1749, 1751, 1753, 1755?\nAnswer: 1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(1053) + 0 - (0 + sqrt(1053) + 5) - 3*((3*sqrt(143))\/sqrt(11) - 4*sqrt(208)).\nAnswer: -10 + 39*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 + 15 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*z - 79*z**2 + 16 - 3 + 17 - 27 to m*z**2 + o*z + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7312 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -0.44 - 42127\nAnswer: -42127.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -25528 + 38129. Is 44 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**2 - 10*l + 6. Let y be h(9). Let g = 13\/4 + y. Put -4, -1\/2, -3, g in increasing order.\nAnswer: -4, -3, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.02709l to millilitres.\nAnswer: 6027.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 81274046 and 13181.\nAnswer: 81274046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 36361059 + -4?\nAnswer: 36361055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwqgqwwwqtwqtw. Give prob of sequence www.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -4*h**3 + h**2 - 2. Let u be k(1). Let z(a) = -3*a**2 - 13*a + 12. Let v be z(u). Suppose 8\/5*t - v + 2\/5*t**2 = 0. Calculate t.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ooo. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-15*d**3 + 116*d**2 - 116*d**2)*(2 - 8 + 10)*(-d + 0*d + 10*d) to a*d**2 + v*d**3 + x*d + g + r*d**4 and give r.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 279, 271, 263, 255, 247, 239?\n\"Answer: -8*n + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 + 4 + 1 - 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 473?\nAnswer: 1\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 2, w: 1, i: 1, r: 2}. Give prob of sequence mrr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -38*d**3 - d**2 + 28*d + 27. Calculate c(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*u - 64 = 2. Let o(y) be the first derivative of 5\/3*y**3 + 3 + 0*y - 1\/2*y**u. Find the second derivative of o(t) wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 140 smaller than 141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 81355*-752.\nAnswer: -61178960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01 times -0.1531?\nAnswer: -0.001531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -3*y**3 - 2*y**2 + 1. Let s(n) be the first derivative of -n**4 - n**3 + n**2\/2 + 2*n - 3. Determine 2*s(i) - 3*v(i).\nAnswer: i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 6174 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000311685073 to 7 dps.\nAnswer: 0.0000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = 4, 4*u - 12 = -2*j - 28. Suppose j = -g + 3 + 7. Let z(a) = a**3 - 12*a**2 + 20*a + 8. Calculate the remainder when 28 is divided by z(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 17 + -21. List the prime factors of (-4 - -31) + -1 + v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -213 - -73. What is the common denominator of -67\/114 and (5754\/z)\/(72\/(-10))?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 266.3721 rounded to zero decimal places?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 28653720 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/16*16\/2*-6*(-3)\/(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s. Let b(g) = -g. Let f(k) = -2*b(k) + 3*m(k). Let w(r) = -2*r. Determine w(f(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-805)\/((-77)\/11))\/((-1)\/(1\/(40\/(-48)))).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1 + 3 - 0 - -2. Let i(g) be the second derivative of -1\/2*g**3 + 1\/20*g**5 - 5*g + 0 - 1\/4*g**4 - 3\/2*g**2. Give i(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.12 + -1.05. Let s = -9 - -9.07. Let i = s - l. Which is the smallest value? (a) i (b) 0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/(2700\/(-282)) - 7\/(-5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bbye when four letters picked without replacement from {e: 12, b: 7, y: 1}.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 160790611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4*-1 + (-3)\/(4*27\/(-576)). Solve 0 = b*j - 6*j - 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**2 + 18*x - 156. Give v(-24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -3*c - 2. Let h be 3 - (21\/c - 1). Let y = h + -23. What is the greatest common divisor of 3 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 502, 939, 1376, 1813?\nAnswer: 2250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -626 - -931. Let j = x - 301. Let r = 160 - 1122\/7. What is the fourth smallest value in 4\/5, -1, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -93834*x - 461 - 1319 + x**3 + 93835*x + ((3 + 2*x - 3)*(2*x + 0*x - x) + x**2 + 5*x**2 - 5*x**2)*(-x + 3*x + 0*x).\nAnswer: 7*x**3 + x - 1780","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -2*b - 33. Let j be l(-18). Put -4, -6, 1, j in descending order.\nAnswer: j, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -4093*f - 59 - 10531*f - 15358*f. Is x(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the first derivative of -2\/27*m**3 + 9 + 1\/9*m**2 + 8*m + 1\/54*m**4. Let q(p) be the first derivative of r(p). Solve q(a) = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*f + 4*f - 14*f**2 in the form x*f + d*f**2 + q and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 - 1)*((-3 - 1) + -1). Suppose r*s + 550 = 10*s. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 858915 is divided by 107?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**3 + 19*c**2 + 23*c - 43. Let z be t(14). Let a = z - 792. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + i = -u + 6, 10 = 5*u + i. Solve -13 = -u*f - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c\/(c*c**(3\/7)))**(-8\/7)\/(c\/c**(1\/13)*c**(-14)*c) assuming c is positive.\nAnswer: c**(7277\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1\/210653990 - -570766984919\/207704834140. Let g = a + 1\/493. Which is smaller: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -52*(-324)\/234*(-53)\/(-53).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -72 + 102. Let q(p) = 2*p + 20. Let b be q(-9). Suppose -7*z = b*z - 153. Calculate the remainder when a is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 82 = 29. Suppose 5*t + j + 163 = 0. Let m be ((-6)\/(-8))\/((-15)\/t). Solve -m*n - 20 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -2*v**3 + 10*v**2 + 3*v + 1. Let l(s) = 3*s**3 - 19*s**2 - 5*s - 2. What is -7*d(p) - 4*l(p)?\nAnswer: 2*p**3 + 6*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10033 + -22?\nAnswer: -10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 + 25 + -39 + 2 + (-5 + 1 - -9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -6911, -26717, -59431, -105053, -163583, -235021, -319367?\n\"Answer: -6454*p**2 - 444*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -r + 18*r - 2*r - r + 0*r + 0*r + (4 - 4 - 2)*(1 - 3*r - 1) - 3*r - 2*r + 3*r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.034952193 rounded to 3 dps?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -352.853 - -353. What is d rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-704)\/(-84))\/(-11) - 4\/(-6). Which is the closest to 0? (a) q (b) 4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve b**2 + 9458*b + 22358952 = 0 for b.\nAnswer: -4796, -4662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 229*f - 2277. What is the remainder when 1043 is divided by d(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55784581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(15) - (sqrt(2160)*-5 - sqrt(2160) - sqrt(2160)) - sqrt(15))\/(sqrt(245)*1).\nAnswer: 1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 43 + -43. Solve t = 7*k - 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -93*p + 1. Let q be i(-1). Suppose 5*d - q - 46 = 0. What is the remainder when 55 is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -p**3 + 3*p + 1. Let r = -5 + 3. Let s be n(r). Suppose 0 = 3*c + 2*a - 17, a = c + s*a - 11. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -145, -227, 14, -5 in ascending order.\nAnswer: -227, -145, -5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = -51 - -48. Let q be 4\/((-8)\/u) - 0. Suppose -q*w**2 + w**3 - 1\/4*w**4 - 1\/4 + w = 0. Calculate w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 635, 635, 637, 641, 647, 655?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -94, -171, -254, -349, -462, -599, -766, -969?\nAnswer: -1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -d**3 + 8*d**2 - 9*d - 45. Give l(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w + w - 6 = -4*y, 2*y = 4*w. Suppose 24 = 5*n - 1. Solve -w*l - n - 1 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - 1) + 10 + 0 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -753*k**2*l**3 - 1963*k**2 + k*l**3 + 1138*k*l**2 - 325*l**3 wrt l?\nAnswer: -4518*k**2 + 6*k - 1950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(243) - (sqrt(243) + -1))*-3 + -2*(sqrt(243) + (sqrt(243) - (sqrt(243) - (-5 + sqrt(243) + 1 - sqrt(243))**2))) + -5.\nAnswer: -40 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the third derivative of -197*v**6\/40 - v**5\/6 - v**4\/8 + v**2 - 113*v. What is the third derivative of g(h) wrt h?\nAnswer: -3546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 47, 88, 155, 248, 367?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 18 - 13. Suppose -r + d = -110. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15663492 and 46800.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 23438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c**3 - c - 1. Let g(q) = -7*q**3 + 7*q**2 + 4*q - 9. Let n(o) = -6*a(o) + g(o). Let b = -5 + 13. What is the tens digit of n(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 3*a - 57. Determine g(-14).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 720 and 33440160?\nAnswer: 100320480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that 2*g**5\/3 - 484*g**4\/3 - 44710*g**3 - 6464156*g**2\/3 + 134128*g\/3 + 2154880 = 0.\nAnswer: -104, -74, -1, 1, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1955553451?\nAnswer: 1955553451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-6)\/((-1584)\/364) - (-15)\/(-18). What is b in -2\/11 - k*b**2 - 18\/11*b**3 + 10\/11*b = 0?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (23*(-54)\/(-13041))\/(((-116)\/120)\/(-29))?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/3*((-17)\/(-1))\/(-85).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the third derivative of -1\/12*b**4 + 0*b - 7\/6*b**3 + 0 - 23*b**2. Let k be g(-4). Solve c + 3 = -k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 44549 is divided by 14790.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5850 and 205650.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 + 6. Suppose -56*i - 14 = -58*i, -i = 4*u - 269 - 462. Which is the second smallest value? (a) w (b) 0.2 (c) u (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -11071437 times -2\nAnswer: 22142874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in -0.02, 0.3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1859095 = 8*m - 1108905. What is m rounded to the nearest ten thousand?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -3146*l - 62752. Determine n(-20).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 15\/8, -258, 0.1, 4, -2, -9\/4.\nAnswer: -258, -9\/4, -2, 0.1, 15\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -263 (base 8) to base 5.\nAnswer: -1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -1742 (base 9) to base 4.\nAnswer: -110312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3\/5*(-2 - 3). Let p be 9\/(-6)*2\/t*9. Calculate the greatest common factor of 63 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*g**2 + g**2 + g**2)*(0 + 0 + 2*g**2) + (3*g**3 - g**3 + 0*g**3)*(90*g - 44*g - 19*g).\nAnswer: 72*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -136*m - 71\/9*m**2 - 1\/9*m**3 + 144.\nAnswer: -(m - 1)*(m + 36)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 84 = -3*y. Let j be 20*((-85)\/(-20) - 5). Is j greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(1\/2)*i)\/i*i*i*i)**(-2\/9)*i**(-5)*i\/i**(-4\/3) assuming i is positive.\nAnswer: i**(-31\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-5))\/(9\/(-45)*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * -119.\nAnswer: -47.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -3*j**2 - 5*j + j**2 + 0 + 9. Let n(p) = -p**2 - 2*p + 4. Let b be 6*(44\/(-8) + 4). Give b*n(k) + 4*y(k).\nAnswer: k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 1 + 3)*(-381 + 139*v**2 + 354 - 136*v**2 + 4*v**4).\nAnswer: 24*v**4 + 18*v**2 - 162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 15\/4 of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 505*i**2 + 226*i - 70*i - 67*i - 89*i - 559*i**2.\nAnswer: -54*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the third derivative of 13*n**4\/24 - 7*n**3\/6 + 6*n**2. Let v be l(5). List the prime factors of (-4)\/14 + v\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 116593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from glxgxgxgggx. Give prob of sequence xxxl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -560 - -435 - (-89 - -7)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*j + 7 - 7)*(3*j**2 - 2*j**2 + 2*j**2) + (2*j**2 + 0*j + 0*j)*(-92 + 949*j - 17*j + 92) to c + w*j**3 + d*j + h*j**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -4 - 3*j**2 + 2 + j + j. Let k(p) = 19*p**2 - 10*p + 8. Let x(y) = -y**2 + 1. Let n(q) = -k(q) - 3*x(q). What is 2*n(i) - 11*w(i)?\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -n**3 + 18*n**2 - 18*n + 17. List the prime factors of b(14).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) be the second derivative of -k**2 - 1\/3*k**3 + 0 + 34*k. Suppose 5*z - 19 - 21 = -4*g, -4*g - z = -24. Let v(c) = 4*c + 3. Determine g*x(l) + 3*v(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(847) - ((4*(sqrt(847) + -3 - sqrt(847)))**2 - sqrt(847))) + -3*(sqrt(847) - sqrt(847)*3).\nAnswer: -148 + 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-5)\/3525*5)\/(3\/(-18)). Which is the closest to 188? (a) -0.4 (b) 1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b - 5*b + 10 = 0. Factor -4 - 5*f**2 + 4*f - 2*f + 11*f**2 - b*f**3 - 2*f**4.\nAnswer: -2*(f - 1)**2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1123)\/90963*((-4)\/(-6))\/(2\/18).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2271 - -2270.8. Let l = 15.9 + -18. Sort l, p, 4 in ascending order.\nAnswer: l, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h + 0*h + 6*h**3 - 2*h**2 - 7*h**3 - 2. What is the remainder when 38 is divided by k(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65*u + 2662 = 67*u. Suppose -3*g - c + u = 3*c, 3*g - 3*c = 1359. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/(-27) - (-50)\/18. Let c be (-4)\/6*(-9 + d). Solve 0*o + 12 = c*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 126*b = 128*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the third derivative of -a**5\/60 - a**4\/3 - 5*a**3\/3 + 5*a**2. Suppose -u + 1 = n, 295*n - 293*n - 56 = 4*u. Give x(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*j - 44*j - 12*j + 150 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 5*f**2 + 5*f - 10. Let u(k) = -14*k**2 - 15*k + 30. Let v(p) = 17*j(p) + 6*u(p). What is the units digit of v(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from hhhhohhhhhoo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in seven fifteenths of a minute?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 + 7*-3 + 2. What is the least common multiple of 16 and (16\/k)\/((-4)\/110)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 74 - 139. Let i be (-676)\/l + 2\/(-5). Is (815\/i)\/(3\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47332 is divided by 751.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 154*l - 58 + 149 = 63*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the first derivative of 2\/3*d**3 + d + 1\/4*d**4 - 1 + 0*d**2. Suppose -2*y = -2 + 6. Calculate i(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 6*((-150)\/9)\/(-5). Solve -u = 3*g - a, 5*a - 28 = -3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -39372 + -59.0031264.\nAnswer: -39431.0031264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -76*j**3 - 60*j**3 + 128*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*a*d**3*v**2 + 652*a*d**3 - 15*a*d**2 + 5*a*d*v**2 + 34*d**3 - 130*d**2*v**2 wrt d.\nAnswer: 12*a*v**2 + 3912*a + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*w - 8*w + 6*w)*(15*w**2 + 34*w - 34*w)*(3 - 7 - 11).\nAnswer: -450*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 805*f - 2. Let a(h) = 2*h. Calculate l(a(k)).\nAnswer: 1610*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 43.7 rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -10*x**2 + 3. Let h(f) = 161*f**2 - 49. Let k(c) = -5*c + 1. Let a be k(10). Let b(g) = a*p(g) - 3*h(g). Let m(u) = u**2. What is b(m(l))?\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -11275892 or -11275889?\nAnswer: -11275892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply 843682 and -0.3.\nAnswer: -253104.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*d + 248 = 661 - 91 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (0 + -39 - -38)*1*-7. Let g(t) = 3*t**2 - 27*t + 20. Give g(i).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*(184\/48)\/23.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the first derivative of -7*q**5\/5 + 6*q**2 - 13. What is the second derivative of z(f) wrt f?\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3\/(-15) + (-30)\/(-25). Let d be (4 + -14)\/(v\/(-1180)). Round d to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19 + 98 - 20*n - 26 + 197*n**3 - 54.\nAnswer: 197*n**3 - 20*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**2 + 5*g + 5. Let c be q(-5). Suppose -4*h + 0 = -5*x + 231, -c*h = -2*x + 106. Suppose 7 = -4*p + x. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 806? (a) -0.5 (b) 0.2 (c) 0.11 (d) -0.4 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 107\/72 and 53\/2197334.\nAnswer: 79104024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 28, 84, -19815, 0.2?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1740694938.\nAnswer: 2, 3, 290115823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 160760 - 160760.139093. Let u = q + 0.139. What is u rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**2 + 8. Let r(u) = 7*u**2 - 10*u - 39. Let g(h) = -6*m(h) - r(h). Let k be (36\/(-15))\/((6\/(-20))\/1). Determine g(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 802376400 to the nearest one million.\nAnswer: 802000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*n + 124 + 1094. Suppose 2*k = q + 89, -4*k + n + 25 = 5*q. Calculate the smallest common multiple of 10 and k.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 27*n - 97. Calculate the remainder when b(4) is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 3 - (26 - -1 - 21 - (4 - -105))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -340, -341, -342, -343, -344?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 119639 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-32)\/18 + 2 - 400592\/(-72). Suppose 2*k + 4*d - 2442 = 0, -d + 707 - q = -4*k. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -360 - -364. Sort -1, w, 73 in increasing order.\nAnswer: -1, w, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 416 and 31591456.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.01 - -0.11. Let o = 327 + -982\/3. Which is the nearest to 1? (a) -6 (b) o (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 319*j**2*t + 18*j**2 - 2*j*t*w - j - 2*t*w - 71*w wrt t?\nAnswer: 319*j**2 - 2*j*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*d - 15*d + 3*o = 9, -2*d + 2*o + 10 = 0. Solve -3*z = 5*g + d, -50*g + 2 = 5*z - 46*g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49*j**3 + 71*j**3 - 10*j**3 + 100*j**3.\nAnswer: 112*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 368 is divided by 136?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*d*s**2 + d + 4378*s**3 + 14*s - 3 wrt s?\nAnswer: 4*d + 26268*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 436019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -5*b. Let y(d) = 15*d**2 + 11*d + 11. Let u(o) = 3*o**2 + 2*o + 2. Let f(w) = -11*u(w) + 2*y(w). Calculate f(h(a)).\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -465067.7547 + -38?\nAnswer: -465105.7547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = -5*s + 3*g + 30, 4*s + 2*g - 2 = 0. Let m = s + 4. Let u = m - 2. Solve u*l - l = -12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/2*(-56)\/84*-11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 157110366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 318, 1277, 2874, 5121, 8030?\nAnswer: 11613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = -2*i + 16, -5*d - i = -3 - 15. Let p(j) = d*j - 2*j - 4*j. Let b(n) = n. What is p(b(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify p\/((p*p**48)\/p)*p*p**(-17) assuming p is positive.\nAnswer: p**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 - 4. Let o be -2 + 4 - 14*-1. Suppose -4*w = 4*y - l*w - o, 0 = -w + 2. Solve -r + s + 1 = -y, 0 = 4*r - 2*s - 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 - -100122?\nAnswer: 100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 7427870 to the power of 1\/2, to the nearest integer?\nAnswer: 2725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 848381551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 337000.\nAnswer: 2, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 263330872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -202*n**3 - 90*n**2 - 1362244*n wrt n?\nAnswer: -1212*n - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.41369 - 1.47174. What is k rounded to three decimal places?\nAnswer: -1.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -24 + 25. What is the second smallest value in -2, p, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 15 = 5*z, -3*z - 14 = -0*z - 4*d. Let w(x) = -10*x + 38. Suppose -3*l + 26 + 73 = 0. What is the remainder when l is divided by w(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 20992758 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:49 PM and 1:25 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -16*n. Let m(i) = 15015371*i. Give m(p(l)).\nAnswer: -240245936*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-172 - 2) + -9 + 4. Let s = -65 - u. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 871*h**2 - 871*h**2 - 30*h**3 - 2 + 2 - h**3 + (-2*h + h + 3*h)*(5*h**2 + 3*h**2 - 4*h**2).\nAnswer: -23*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 4*a = 252, 5*l - 2*a + 226 = -82. Let r = -63 - l. Let f(z) = 12*z**2 + 2*z + 1. Calculate f(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69855d (base 14) in base 13?\nAnswer: 98b847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:43 PM and 4:25 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert a84 (base 13) to base 16.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 2 w when three letters picked without replacement from {s: 3, w: 7, r: 9}?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 259 - 149. Let y = 4 - -40. What is the greatest common factor of h and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 9*y**2 - 235*y + 270. Give o(25).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 293412021 is divided by 2088.\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 219 is divided by 77?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 201\/27*(3\/(-2) - -3) and -26\/35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2124 - -3888. Suppose 5*l + 1764 = 2*h, 0 = -h - h - l + i. Is h a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -18.5 - -19. Let m = 3 - 3.5. What is the second smallest value in -1, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 r and 1 l when four letters picked without replacement from lrzzzzrrzzrzr?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand b - 3 + 3 + 0 - b + 0 - 5*b + 4*b - b + (-3*b + 0*b + 4*b)*(-1 + 3 - 1) - 1023 - 282*b + 1023 + (4*b + 0*b - 2*b)*(-2 - 1 + 1) + 1 - 2*b - 1.\nAnswer: -289*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -109\/154 and 15\/154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(156)\/sqrt(3) + sqrt(52) + sqrt(13) - ((0 + sqrt(325))**2 + sqrt(13)))*3 + -2.\nAnswer: -977 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * -9979.\nAnswer: 9979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35320 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 6 = 3*g, a - 5*a = -2*g - 4. Suppose -1\/3*l + 1\/3*l**2 + a = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 28684086 to the nearest integer?\nAnswer: 5356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1519 and 56606.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/8 in -0.5536, -4, 24?\nAnswer: -0.5536","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-two fifths of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*3*2*-3*(0 + sqrt(11) + -5) + -3)**2.\nAnswer: -12744*sqrt(11) + 45585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -26 + 65. Suppose -x - 81 = -5*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -10*u**2. Let n(a) = 24430*a. Determine y(n(q)).\nAnswer: -5968249000*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 99187060 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -79\/84 and 23\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -1 > 1\/133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7993 - 7980.593. Round y to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1408 + -684. Does 56 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:51 PM and 9:15 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -69 (base 14) to base 5\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tx when two letters picked without replacement from xxxxxxxxxxxtxtxxxxxx?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1440 and 88800.\nAnswer: 266400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -9.7? (a) -0.4 (b) -0.27 (c) -4\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 120 + -99. Suppose 2*s - 5*t = -a, 2*s + 6 = -3*t + 5*t. Solve -72\/5*u - 16\/5 - 12*u**s - 14\/5*u**3 = 0 for u.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 64 + 89 = -25*r + 428 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s**2 - s. Let z(a) = -5*a. Let f(u) = -u. Let q(n) = 6*f(n) - z(n). Let k(c) = -h(c) + q(c). Let y(j) = -3*j. Give k(y(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -10*y**2 + y. Let t be c(1). Let w be (-58)\/(-1) - 2 - (t + 11). Let x = -43 + w. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, -1, 5, 129 in decreasing order.\nAnswer: 129, 5, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) 2 (c) 62 (d) 3.1 (e) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:26 AM and 5:29 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/5 or 978?\nAnswer: 978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 480622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/(-2)*(-72)\/6. Suppose -4*n + n + x = 0. Find the second derivative of 3*o + n*o + o**4 - 6*o - 3*o wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13689424.\nAnswer: 2, 7, 19, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 237*l**2 + 4264*l - 25. Let r be h(-18). Solve -5*j = w - 2*j + 25, -w - j - r = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -158*z - 15 = -157*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -265d5 (base 16) to base 7.\nAnswer: -1223065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put together 13 and -1.5550825215.\nAnswer: 11.4449174785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -22441 (base 5) to base 13.\nAnswer: -979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1103?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = y + 5. Let m be r(-4). Suppose -5*h + 7 = -3. Let f be h\/1*(1 + m). Solve -5*n - f*i = -37, i - 3*i = 2*n - 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that n**5\/5 + 533*n**4 - 34654*n**3 + 754362*n**2 - 5774895*n + 25273269\/5 = 0.\nAnswer: -2729, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6763 and 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z - 2*z = 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 18 (b) 0.018 (c) -0.3 (d) 247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 396139476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 4, 0, 0.2, 70, 0.001?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*n + 12*n - 18 = 0. Let r(p) = 138*p**2 - 267*p**2 + 138*p**2 + 11 - 9*p - p**3. Let i be r(8). Put n, 5, i, -4 in decreasing order.\nAnswer: 5, i, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3333 and 5555?\nAnswer: 16665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {p: 2, t: 2, b: 11, w: 4}.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 97, -26, -52, 0, 5, -37, 4 in descending order.\nAnswer: 97, 5, 4, 0, -26, -37, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 3, o: 1, q: 5}. Give prob of sequence cc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = -114.71 - -120.7. Let m = h - 2.69. Let p = -2 + 2.2. Which is greater: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (2 - 3) - (-1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -5, 2\/15, -366, -2, -3, 0.3?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (7 - 12) + 4 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1411, -3491, -6793, -11317, -17063, -24031?\n\"Answer: -611*d**2 - 247*d - 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -45 (c) -1\/2 (d) -911\/5 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 2 + 9*i - 3*i - 2. Let c(x) = -x**2. Give c(g(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = 2*c - 14, -j + 3*c + 179 = 170. Let n(y) = -2*y**2 - 15*y - 40. Determine n(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**3 - 3*z**2 + 3*z + 5. Let j be n(4). Let o(d) = d**3 + 24*d**2 + 142*d + 31. Let y be o(-14). What is the highest common factor of j and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -275*a = -269*a - 42. Let y = 0 - -1. Let k be a + y*-4 + 2. Solve 2*i + 21 = -k*l, -2*l - 2*l - 6 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10*g**4 + 11*g + g**2 + 6 - 5 - 3 - 9*g to the form b*g**3 + c*g**2 + f*g**4 + z*g + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -19 - -17. Let x = -141 + 565\/4. What is the nearest to -0.1 in d, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -71 - -175. Suppose 3 = -3*y - 0*y, -f = 2*y - b. Suppose -f = 38*u - 40*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 4*t - 0*g + 3*g, -t + 5*g = -18. Solve -z + n + 1 = t, z - 10 = -5*n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -49852?\nAnswer: -49852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.02 - -2.78. Let m = -3 + g. Let p = m - -0.3. Which is bigger: p or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i = -68 + 61. Calculate the least common multiple of i and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 123\/50 and (-3)\/(-30)*(6 - 77\/5).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -2 + 7 - 2*l - 2. Let c(j) = -4*j + 5. Let s = -3 + 7. Determine s*c(q) - 7*n(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -6 + 5 - 2*i + 3*i. Let a be (1 + 0)\/(2\/6). Let o(q) = -q + 2. Let c(p) = a*o(p) + 4*u(p). Differentiate c(g) with respect to g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -4*j**2 + 2*j. Calculate h(-3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 10470 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -99758.52 - -99751.5199972. Let l = -4 + -3. Let x = l - p. What is x rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 85368784?\nAnswer: 2, 5335549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -66207 - 0?\nAnswer: -66207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = -188 + 145.5. Round l to 0 decimal places.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1016311 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the third derivative of 67\/6*j**3 - 24*j**2 + 1\/20*j**5 - 1\/60*j**6 + j + 0 + 0*j**4. Find the first derivative of i(t) wrt t.\nAnswer: -6*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 27, 28, 21, 0, -41, -108, -207, -344?\n\"Answer: -b**3 + 2*b**2 + 2*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 6*s**2 - 329. Let g(d) = -5175*d + 21. Give g(y(q)).\nAnswer: -31050*q**2 + 1702596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -0.01*-0.8\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -85, -2173, -5923, -11335?\nAnswer: -18409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 8 in -50, 0, 1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 6*g**2 - 1. Let k be x(-1). Let r = 5 + 0. Is k at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 386 minutes after 10:57 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20 - (-1 - (-11 + 18) - -18).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 55680377?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -3*w**2 - 293*w**3 + 146*w**3 - 12*w + w + 5 + 144*w**3. Let o(f) = -2*f**3 - 2*f**2 - 6*f + 3. Determine 3*l(p) - 5*o(p).\nAnswer: p**3 + p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor k**2 + 22176*k - 79463785.\nAnswer: (k - 3139)*(k + 25315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lm when two letters picked without replacement from {m: 2, l: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 64 + 253 = 0. Let g = 24 + a. Is g a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1010520089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (-9 + 12 + 5)*(-24*t + 2 + 4 + 27*t) in the form l*t + z and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 56897287.00097 - 56897673. Let h = l + 386. Round h to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 3*r - 1. Suppose -54*i = -33*i - 37*i + 96. Let t(z) = 13*z - 4. Calculate i*t(a) - 22*h(a).\nAnswer: 12*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*o**3 - 173 - 98*o + 42 + 98*o + o**3.\nAnswer: o**3 - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4 - 3. Let a(h) = h**2 + 4*h - 10. Give a(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-150)\/(-18) + 4*(-2 - (-15)\/9). Solve 4*c + z = -6*x + 3*x, 0 = 2*x - c + 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2205\/126)\/5*(-1)\/(-42).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 719 minutes before 12:10 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 147072570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 plus -2799487638.8?\nAnswer: -2799487639.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/3 or -4.623?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -313*1949841\nAnswer: -610300233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be 9\/(1\/1)*-1. Let y(p) = 7*p**3 + 15*p**2 + 29*p + 15. Let f(n) = 4*n**3 + 7*n**2 + 15*n + 7. Let u(q) = 5*f(q) - 3*y(q). What is the tens digit of u(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a. Let b be 14\/(-4)*(-12)\/21. Suppose 2*p - 31 = 5*x, 2*x + 8 = b*p - 8. Let i(w) = -w + p*w - 4*w - 7*w. Calculate i(o(n)).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -168108, -168106, -168104?\n\"Answer: 2*k - 168110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1253507009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -9*o**2 + 6*o + 64. Let v be r(3). Which is greater: v or -10\/857?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -3*y**2 - 2*y - 1. Let n be s(-3). Let h = 37 + n. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*o + 6*o - 2*o)*(146 + 387 + 115 - 2*o + 623) to t + r*o + m*o**2 and give r.\nAnswer: -2542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -30068, -60134, -90200, -120266, -150332, -180398?\n\"Answer: -30066*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -3*p + k, p - 2*k - 2 = -3*p. Suppose 0 = 1960*o - 1961*o + 46. Calculate the remainder when o is divided by (-6)\/(-4)*16\/p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 9\/13, 2\/5, 34920.4?\nAnswer: 34920.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 40542.9 kilometers in nanometers?\nAnswer: 40542900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1104? (a) 0 (b) -1\/2 (c) 2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19*-13.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 102734?\nAnswer: 2, 31, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the second derivative of n**7\/2520 + n**5\/30 - n**4\/12 - 3*n. Let x(l) be the third derivative of a(l). Differentiate x(o) with respect to o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9292.5 - 9293. Sort 0.5, 10, 1, -1\/6, n.\nAnswer: n, -1\/6, 0.5, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 64 + -8. Let h = 4 - -3. Calculate the greatest common factor of f and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3844*a + 187944 = -11585*a + 6213*a for a.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/(3\/(-2) - -2). Suppose s*k - 73 = 23. Let v be (k\/(-30))\/(2\/(-10)). Solve -4*y + v + 8 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) be the second derivative of i**4\/12 - 2*i**3\/3 + 9*i**2\/2 - 3*i. Let j be 130\/16 - (-6)\/(-48). What are the prime factors of x(j)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-54)\/45*(-90)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -14 - -19. Suppose -5*m + v*w = w - 23, -3*m + w = -11. Solve 0 = -2*k, 3*k - 6 = -m*u - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.4903 and 1.\nAnswer: -1.4903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 41790 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 7 (base 10) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the first derivative of n**3\/3 - 3*n**2\/2 - 3*n + 2. Let x be l(-2). Let j(s) = -s**3 + 9*s**2 - 8*s + 4. Is j(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**2 + 113*g + 5361. Give u(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 18396438 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:34 PM and 9:01 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 6*z - z. What is the units digit of 136\/(-12)*z\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = i + 4*i. Let n(m) = m**3 + 6*m**2 + 7*m + 6. Let k be n(-5). Put i, k, 2 in decreasing order.\nAnswer: 2, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -7284538*j**6 + 11107292*j**2?\nAnswer: -874144560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 7681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 68 = -5*f + l, 0 = 3*l + 3. Calculate the greatest common divisor of f and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:10 PM and 5:52 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000006273 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -17 - -1301?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 7, 6, -151, -1.532?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -r**3 - 325*r**2 + 11406*r + 579. Determine i(32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*r - r - 7*r + 13*r - 7*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is (50341066\/92)\/((-11)\/(-2) + -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 957 and 348?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = q - 24*j - 7076, -2*j + 3 = 7. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 44 - 40. Let z = 2 + -2. Solve -2 = -f + w*n, n = -z*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -522, -694, -868, -1044, -1222?\nAnswer: -1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 52, 89, 102, 79, 8, -123, -326, -613?\nAnswer: -996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + q - 10 = 2*q, -2*v - 12 = 4*q. Let g = 0.6 + -0.6. Which is the nearest to g? (a) 3 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 1342, -0.08, -1\/3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 847983775 a multiple of 3781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 1591.6 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 6*n**2 - 9*n - 8. Let i(k) = 54*k**2 + 2*k + 6*k + 7 - 59*k**2. Suppose -4*r + 1 = -27. Determine r*i(j) + 6*s(j).\nAnswer: j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-1))**(-42)*(w*w**1)**(11\/4))\/((w\/((w*w*(w*w*w**(-4)*w)\/w*w)\/w*w))\/w*(w\/(w\/w**5))\/w*w)**(-18) assuming w is positive.\nAnswer: w**(239\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + 3*l = -8, -2 = 4*f - 5*l + 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-9)\/(-18))\/(2\/(-108 - 0)). Which is the closest to -0.1? (a) 2 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (5*p - 5*p - p)*(-9543*p - 20748*p - 104198*p + 8850*p) in the form s + h*p + a*p**2 and give a.\nAnswer: 125639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 33182459, 66364920, 99547381, 132729842, 165912303, 199094764?\nAnswer: 232277225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5476*a - 8 - 5476*a - 36*a**2 wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -2, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 29\/37 - 182\/185. Which is the closest to -0.3? (a) -3 (b) o (c) 1\/4 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-8)\/(-6))\/(4\/3 + -1). Which is the nearest to 1? (a) n (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3 + 2. Suppose -9 - 18 = -3*f. Let i be ((-8)\/12)\/(u\/f). Put -5, i, 4 in descending order.\nAnswer: i, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 37 * -5723986.\nAnswer: -211787482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be (24\/(-30))\/(2902\/5). Let s = 2896\/4353 - k. Determine o so that 8\/3 - 14\/3*o**2 - 2\/3*o**5 + 0*o + s*o**3 + 2*o**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 56\/((-48)\/(-6)) - (2 - (6 + -10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 * 1169596.47.\nAnswer: -350878.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 189678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = 39 + -34. Suppose -3*s = -12*s + 36. What are the prime factors of (154\/8)\/(c\/80*s)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -80\/883?\nAnswer: -80\/883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10\/403 or 1?\nAnswer: -10\/403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000660543 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - ((0 - -1) + 2 - (231 - 192))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -84*t + 56*t + 112 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjamjmjxmmamamox.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 12563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + 15, 5*y - 5*z + z + 820 = 0. Let f = 182 + y. What is the greatest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.09 - 0.01. Let y = -0.18 + f. Let h = -0.02 - y. What is h rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen sixths of a day in hours?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2314*137\/(-1096)*-1*4. Which is smaller: 1164 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 26369*h**2. Let g(d) = -3*d**2. Determine j(g(z)).\nAnswer: 237321*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in thirty-four fifths of a meter?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1423*j**3 + 28*j - 195 wrt j.\nAnswer: -8538*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 230511535 + 21?\nAnswer: 230512000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from swmsmmswnnmwns. Give prob of picking 2 w and 1 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 0*w + 0*w**2 + 8*w**4 - 14\/3*w**5 + 8\/3*w**3 + 0 = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.40022745 rounded to two decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 14231437637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1635 and 7521.\nAnswer: 37605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1 < -1\/1566989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:39 PM and 3:42 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -222, -1379, -4232, -9543, -18074?\nAnswer: -30587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 166 minutes before 10:02 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*l**2 + 1660*l - 137780.\nAnswer: -5*(l - 166)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2506 - 1334. Suppose -y = -2*k - 2*v, 3*v + 2349 = 4*k + 2*v. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 26.6 + -23.6. What is the biggest value in -4\/11, v, -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -1 + 350388*c - 8 - 350387*c. Give a(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) 25 (c) 3 (d) -10 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 30 (base 9) to base 8.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-2\/11))**(-16)\/(q*q\/q**4*q)**(5\/8) assuming q is positive.\nAnswer: q**(311\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3508 + -3513.2. Which is the third smallest value? (a) i (b) -6\/13 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -213 - -218. Let z(j) = -4*j - 2*j + d*j. Let v(y) = -50*y + 1. What is v(z(o))?\nAnswer: 50*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 940728?\nAnswer: 2, 3, 19, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -381585, -763110, -1144647, -1526202, -1907781, -2289390, -2671035?\nAnswer: -3052722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-20 + 68 + -13 - 44) + -35 + 2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 21 = -0*r. Let y(h) = -h + 4. Let q be y(6). Let c be q\/(-7) - 164\/(-14). Solve -2*b + 5*f - r = 0, 4*b - 4*f + 0*f = -c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**3 - 5*x**2 - 1460*x - 7241. Give d(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20429*u**3 + 64696*u**3 + 7*u - 19615*u**3.\nAnswer: 65510*u**3 + 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5 + 12. Suppose 3*y + 2*t + 16 = 0, 2*y - 5*t = -20 + 3. Calculate the remainder when v is divided by -6*-4*(-1)\/y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -245*w - 6850. Determine l(-28).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand f - f**5 - 3*f + f + (-4*f + 3*f + 2*f)*(2*f**2 - 2*f**2 - 4*f**4).\nAnswer: -5*f**5 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1402735970 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 691 minutes after 2:41 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 37.957 decades?\nAnswer: 3.7957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/10 and 73\/8352.\nAnswer: 41760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1664\/169 - (28\/(-13) + 2). Let m be ((-1683)\/15 - 0)*(5 - f). What is the greatest common factor of 51 and m?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 159617 is divided by 636?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 326*o - 1704 - 358 = 744 - 198 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -6*h - 15. Let k = -5822 + 5819. Give j(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that 6*k**4\/7 + 72*k**3\/7 + 96*k**2\/7 - 1152*k\/7 - 3072\/7 = 0.\nAnswer: -8, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 850 - 866. Put w, -5, -7, 0 in descending order.\nAnswer: 0, -5, -7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 2*v - 93 - 81, 0 = 4*o - 3*v + 142. Let h = -20 - o. What is the remainder when h is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 7*q**2 + 18*q - 9. Let n be u(-3). Solve n = -2*t + 6 + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.20186*3.\nAnswer: -0.60558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-18)\/(-3)*(-1)\/(-36)*6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 537*r - 539*r - 2*j - 18, 2*r - 10 = 5*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 1 + 3)*(-552*a**2 + 50*a**4 + 552*a**2) + a**4 - a + a.\nAnswer: -99*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**2 + 21*p - 119. Does 113 divide h(-46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1597 + -1596. Let q = -2.8 - -2.98. Sort 2, g, -4, q in descending order.\nAnswer: 2, g, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/3 + (-14)\/(-6). Suppose 2*g - 3*p = w*p + 27, -2*g - 5*p = 3. Factor -3*n**5 - g*n**3 + 8*n**4 + n - 3*n + 3*n.\nAnswer: -n*(n - 1)**3*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -3*a**4 + 69*a**3 - 399*a**2 + 603*a - 270 = 0.\nAnswer: 1, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 10, -17, -92, -239, -482, -845, -1352?\n\"Answer: -4*g**3 + g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -91*((-16)\/84)\/((-264)\/(-462)*(-7)\/(-12)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -251.0206 - -251. Round l to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5, 2, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 19857 or 19862?\nAnswer: 19857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -631*d - 2. Let u(q) = 4964*q**2 - 2. Determine n(u(t)).\nAnswer: -3132284*t**2 + 1260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = -108 + 155. Let v = y - 30. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**2 - 1654*k + 397678. Give n(213).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7 + 9. Let p = a + 0. Solve -k = p*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-3))\/(-2 + 280\/126).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 74, 405, 956, 1727, 2718, 3929, 5360?\n\"Answer: 110*q**2 + q - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -261.4 to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 2688680 divided by 1344340\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 0.64 (b) 5 (c) -0.4 (d) 4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 345 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -226 in 3\/8, -0.1, 321\/4, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 1301*t**2. Let d(a) = -a**2. Determine l(d(u)).\nAnswer: 1301*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.842 times 20.1?\nAnswer: -16.9242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8928?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56 = -q - 3*p + p, -4*q - 2*p - 212 = 0. Let j be 12\/(-18) + q\/(-6). Suppose 2*b + 3*k = 3, 0*b + 5*k = -5*b + 20. Is b less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 130 and 171496.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 187*i + 1375 + 682 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 45*-33.\nAnswer: -1485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be 36 + (-5 - -1)*1. What is l rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -50475536.0000001 - -50475532. Let k = l + 4. What is k rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-865)\/10)\/(1\/(-2))?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 21, 3, -27, -75, -147, -249?\n\"Answer: -m**3 - 11*m + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*m + 2464 = 5*m. Let n be m\/(-6) + (-4)\/(-6). Solve -473*u**2 - 217*u**2 + n*u**2 - 107*u - 16 - 69*u = 0.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10.7 + -10. Suppose -5*m + 46 = -s, 0 = 5*m - s - 4*s - 30. Let u = -6 + m. Which is the second biggest value? (a) u (b) 0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*d + 47*d + 29*d - 15*d)*(194*d + 9*d**2 - 8*d**2 + d**2).\nAnswer: 136*d**3 + 13192*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-4)\/(-8)*-2 - -5. Suppose -g = u - 6. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2999132?\nAnswer: 2, 73, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -6*g**3 + 3*g**2 - 6. Let r be (3\/(-7))\/(-1 - 72\/(-63)). Let m(v) = 6*v**3 - 4*v**2 + 7. Give r*m(h) - 4*f(h).\nAnswer: 6*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**3 + 2*n**2 - n + 10. Let i be a(0). Let d be i\/(-4)*(-24)\/20. What is r in 0*r + 0*r**d - 1\/3*r**2 + 0 + 1\/3*r**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1566*r**2 + 6*r - 3138*r**2 + 1578*r**2.\nAnswer: 6*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 578 divided by 236570\nAnswer: 289\/118285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 - 4. Suppose -2633*h = -2636*h. What is the closest to 0.1 in h, 0.02, v?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:39 AM and 7:26 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -50*k**2*r**3 - 8*k**2*u**2 - 8*k*r**3*u**2 wrt u.\nAnswer: -16*k**2*u - 16*k*r**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2 + (-4 - -2) + 12. Suppose w = 5*w + l. Let y = 2 - w. Solve -t + 2*t - y = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 21040e - ee?\nAnswer: 210310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x + 1. Let n be j(4). Suppose -n*p = -0*p - 115. Calculate the remainder when 68 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in nineteen tenths of a century?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -34161 (base 8) to base 2.\nAnswer: -11100001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f - 10*f + 5*f - 12*f. Let m be g(-5). Suppose -6*l = -m - 30. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.4, 3.2, 1\/17, 4, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 7*z**5 - 4*z**3 - 26*z**5 + 565*z + z**2 - 565*z + 12*z**2 - 28 wrt z?\nAnswer: -1140*z**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -3, 2.432, 1?\nAnswer: 2.432","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -151970329\/3228 + 188315\/4. Calculate the common denominator of -8\/183 and v.\nAnswer: 49227","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q - 5*q = 0. Let v be (-2)\/(-4) - (-45)\/18. Let s be v - (-2)\/(-2)*4. Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the second derivative of -3*m**5\/20 + 5*m**4\/12 - 3*m. Find the third derivative of x(j) wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -8*b**2 + b - 1. Let s be y(1). Let z be 10*4\/s*-1. Solve 1 = -3*c - z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 51 + 58 = -109*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (-6 - -4 - (2 - 7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -209*o - 49. Let b(u) = 114*u + 24. Give -5*b(q) - 3*g(q).\nAnswer: 57*q + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -13*x**3 - 15*x**2 + 2*x - 11. Suppose 0 = -8*q + 7*q - 11. Let r(j) = -7*j**3 - 8*j**2 + j - 6. Calculate q*r(u) + 6*b(u).\nAnswer: -u**3 - 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5006 and 16?\nAnswer: 40048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c**(2\/7))**(4\/29))**14)**(-3\/5) assuming c is positive.\nAnswer: c**(-48\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 445334989.\nAnswer: 11, 41, 691, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t = -3*n + 12, n = -0*t + 3*t + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 709776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 4*t + t. Suppose 3*u = -4*p - 0*p + 44, 2*p = -t*u + 34. Let f(q) = q**2 - 6*q - 4. What is the smallest common multiple of 14 and f(u)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 29 = 23. Let j be (39\/q)\/((-1)\/(-2)). Factor 0*k - 1\/2*k**2 + 9\/2*k**5 - 3\/2*k**4 + 0 - 5\/2*k**j.\nAnswer: k**2*(k - 1)*(3*k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*y + 0*y = 89*y + 1695 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -745*m**5 - 136*m**2 - 32*m**2 + 2561*m**5 + 2696*m**5 + 11 wrt m?\nAnswer: 270720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wywuwwyyuwu. Give prob of sequence yyw.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of -34719 and 574.5.\nAnswer: -19946065.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = -31 - -52. Let f = 33 - y. Let p(q) = 10*q + 2. Calculate the remainder when p(2) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 4, m: 7, z: 3, g: 4, w: 1}. What is prob of sequence gzvw?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 3*f = 1 - 13, -5*f + 17 = -2*r. Are -8 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 5*t = 159, 2*g + 96 = 3*g - 3*t. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:55 PM and 9:54 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9333226?\nAnswer: 2, 7, 131, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j - 10, -3*x + 4*j = -2*x - 62. Suppose -5*n = 10, -4*n = -5*h + x + 98. What is the greatest common divisor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 644 minutes before 3:29 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 481 and 178451?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2*4*(-4)\/8. Is b != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -1 + y - 7 - 7. Let p(z) = 751 + 2*z - z - 767. Let c(i) = 7*k(i) - 6*p(i). Determine c(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10317*b - 10317*b - 4*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let -45*k**2 - 115364485*k - 25636550 = 0. What is k?\nAnswer: -2563655, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 69440 = 29290*f + 743110 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 860 in 1\/5, -2\/13, 1\/2, -6, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -24 + 16. Let h = 13 + l. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 16631 - 4266. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11804.8835036 minus -1884?\nAnswer: -9920.8835036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2 take away 2344509840545.8?\nAnswer: -2344509840543.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 2797, -4\/9, 8, 2.6 in decreasing order.\nAnswer: 2797, 8, 2.6, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**3 + 9*u**2 - 93*u - 25. Let g be k(-15). Solve 6*y = 10*y + i - 14, 4*y = -4*i + g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-72)\/(-154) - 0 - 188\/1034?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(19\/3))**(-4\/17)\/((f**(4\/27)\/f)\/(f**15\/f*f)))**(-30) assuming f is positive.\nAnswer: f**(-65920\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.06 + 497.\nAnswer: 497.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 189 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6100 - 292777\/48. What is the common denominator of u and -4*7\/(-448)*6\/9?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -272 = -1221*v + 1255*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -4.1, 2, -0.1 in descending order.\nAnswer: 2, -0.1, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b**2 - 4*b - 3. Let n be t(5). Suppose 2*q = 2 + n. Find the third derivative of 0*d**2 + d**2 + 0*d**q - 3*d**6 + d**6 wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes after 2:27 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(-40))\/((-1902)\/2536).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 0, 398353.5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3 - 10. Let o(a) = -4*a - 2. What are the prime factors of o(u)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -743 and 0.4?\nAnswer: -297.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 135843 is divided by 6765?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = o**2 + 6*o - 12. Let b be f(-8). Suppose b*a - 2*r = -8, 5*a - r + 12 = r. What is the second smallest value in -2, -0.1, 2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 49847 by 3.\nAnswer: 49847\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 5*f**2. Let x(u) = -510*u - 3 + 7*u**2 - 9*u**2 + 507*u. Let i(g) = g + 1. Suppose -6 = v + 2*v. Let r(a) = v*x(a) - 6*i(a). Calculate k(r(p)).\nAnswer: 80*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 4*f = 1376, 2*b - 178 = -4*f + 498. What are the prime factors of b?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -293, -355, -419, -485?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (1 + 2 + sqrt(1300))**2 + (-3*sqrt(78)\/sqrt(6) - (-3 + sqrt(13))*-6) + 5.\nAnswer: 63*sqrt(13) + 1292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0 + 1. Let b = r - -1. Let q = 5 - b. Solve -q*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, q: 1, d: 2, i: 1}. What is prob of picking 2 p and 1 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 61.804 + -62. Let t = 0.096 + v. Let h = -3 - 3. What is the nearest to 0 in t, h, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-6)\/t*t**(-5\/4))\/(t*t**21*t\/(t*t\/t**(1\/3))*t))**(-9\/2) assuming t is positive.\nAnswer: t**(1101\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12890 is divided by 496?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 13 = 5*i. What is the third derivative of 0*y**4 - 25 + 18*y**i + 4*y**4 + 25 wrt y?\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x*(x\/(x**(-2\/13)*x)*x*x)\/x)\/x)**42)**(-38) assuming x is positive.\nAnswer: x**(-23940\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 293 = -0*y - y, -15 = -5*y. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -27*p. Let k(v) = 675*v. Let b be (-6)\/3 - (1 + 1). Let a(o) = b*k(o) - 99*d(o). Let h(m) = m. Give a(h(z)).\nAnswer: -27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8053424.\nAnswer: 2, 503339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.14964 - -0.1856. Round z to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1741872 is divided by 248775?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -301 + -37. Let d = h + 1442. What are the prime factors of d?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1084 - 3*s - 427 + 7*s - 395 + 1017.\nAnswer: 4*s - 889","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19963 is divided by 9730?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(112) + -2)**2 + sqrt(7) + 2 + sqrt(175).\nAnswer: -10*sqrt(7) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 0 + 2*m)*(-1 + 2 + 1) + 0*m - m - m + 4*m + 8*m + 5*m as f*m + x and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 2 (b) -0.08 (c) 8\/5 (d) -0.2 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 520, 530, 540, 550, 560?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 38b5 - -11?\nAnswer: 38c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from zdjzjqezjeqj.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 29863 - 43227. Is 153\/255 + a\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -2*m - 7. Let l be g(-5). Let j be (-3 - -5) + -5 + l. Let r(f) be the second derivative of f**4\/12 - f**3\/6 - 3*f**2 - f. Determine r(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 253 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 23685000 to the nearest 100000.\nAnswer: 23700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j + 25 = 3*j - 5*r, -5 = -3*j - 5*r. Suppose 3*v + 4*w = v + 12, -4*w - 58 = -j*v. Solve -v = 2*x + 7*z - 2*z, -2*z = -5*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*x = -26*x - 28. Let j(m) = 7*m - 94. Let o be j(x). Solve 0*s = o*s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -11612*f**3 + 14*f**2 - f + 55697 wrt f?\nAnswer: -69672*f + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 - -4. Let n(l) = 1 - 10*l**g - 1. Let h(d) be the first derivative of d**2\/2 - 44. Give h(n(j)).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -449, -1 in descending order.\nAnswer: -1, -6, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -300*v + 2465. Let t be c(0). Calculate the greatest common factor of t and 1015.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1063, -1045, -991, -883, -703, -433, -55?\n\"Answer: 3*x**3 - 3*x - 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -36*x**6 - 12*x**4 + 2*x**3 + 9*x**2 - 45. Let i(l) = 3*l**4 + 1. Let v(j) = -a(j) - 4*i(j). What is the third derivative of v(q) wrt q?\nAnswer: 4320*q**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 15*q**2 - 93*q + 2. Determine u(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7345 = -2*u + h, 118*u - 119*u - 5*h + 3689 = 0. Round u to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 10111100001001010111 (base 2) to base 9\nAnswer: 1404114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Are -1139 and -1129 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u**5 - 875*u**4 - 47301*u**3 + 11880*u**2 = 0. Calculate u.\nAnswer: -120, -99, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-6)\/60 + 261\/10. Find the third derivative of a*w**5 - 3*w**2 + 0*w**2 + 27 - 25 + 4*w**2 wrt w.\nAnswer: 1560*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = -5*x + 35, 3*x - f = -0*x + 11. Let i(a) = -a**3 + a**2 - 1. What is i(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (z**2 - 1 + 1)*(4 - 4 + 2*z) + (11*z + 5*z + 23*z)*(4*z**2 - 5*z**2 + 0*z**2) to v*z**3 + a + b*z**2 + x*z and give v.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be 5\/(-3) - 1785\/(-315). Solve -5*t = 5*u + 10, -t + 4*u = -d + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0 + -3 - (-1)\/((-3)\/87). Let g be (-3)\/2*t\/(-24) + 1. Let w = 2\/33 - 13\/33. Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 74146 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 61574778127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*w + 8 = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -120 (base 7) to base 4\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes after 2:16 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 37918745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-14)\/4 - 3\/6. Let n = 2 - 2. Let u = -2 - -1.9. What is the closest to n in j, u, -4\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 8.292546 minutes?\nAnswer: 0.0057587125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = l - 3948. Let g be (-2)\/(-11) - l\/66. Suppose -5*j - 5*k = -g, -2*j + k + 30 = 6. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in seventeen halves of a day?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -5, -2926 in decreasing order.\nAnswer: -2, -5, -2926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -35 (base 13) to base 10.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*(1\/(-21))\/(2\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + g + 8 = 0. Suppose 5*w + 0*l = l + 223, -w - g*l = -49. Calculate the highest common factor of 18 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 85538, 342371, 770500, 1369919, 2140622, 3082603, 4195856?\nAnswer: 5480375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -14*w**2 - 705*w - 6045. Give g(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18402 - 55238 + 18406 - 31*s**2 + 18430.\nAnswer: -31*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 6 = 5*s. Let b = 822 + -808. Calculate the remainder when s\/(-11) + 2373\/77 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*h = -11*h - 5*i - 535, 4*h - 570 = -2*i. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 100101 (base 2) to base 13.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1255.967 millilitres in litres?\nAnswer: 1.255967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 85 - 53. What is the second derivative of 9*j + 10*j + 14*j**2 - t*j**2 wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bibiiwbisws. What is prob of sequence iw?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 223*u - 7332. Determine i(33).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(784) + (sqrt(784) - (sqrt(784)*5 + sqrt(784))) + sqrt(784) - sqrt(784))\/(sqrt(8) + (sqrt(72) - sqrt(72)*1)))**2.\nAnswer: 39200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2359969.2 months in decades?\nAnswer: 19666.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + r + 3*r - 4 = 0, 3*s - 29 = -5*r. Solve -6 = s*m - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 282\/(-10011) - 170984\/(-10650) - 16?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-3 - (-14 + 17 + -7)) + -3 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1575 and 6060950.\nAnswer: 54548550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-25)*l)**(-2\/11)*l**(-8\/7)*l*l**(-2\/13) assuming l is positive.\nAnswer: l**(4071\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -20567 + 40006?\nAnswer: 17217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 78 and 6375.\nAnswer: 165750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**0)**25*((i*i\/i**1)\/i)\/(((i*i**(-4\/7))\/i*i)\/i*i) assuming i is positive.\nAnswer: i**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 248 and 4495.\nAnswer: 35960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.03 and 203072.\nAnswer: 203072.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5)\/(-6)*249\/(-1245)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h*(h*h**(-5\/6))\/h*h))**(2\/73)*(h**31\/h)**(-42) assuming h is positive.\nAnswer: h**(-275941\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:56 PM and 2:49 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - (-5 + -21 + 7 + 4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*p**2*s**3*u**2 + 88948*p**2*s**3*u + 2*p**2*s*u**2 + 779*p**2 + p*s**2*u**2 + 6*s*u**2 wrt s?\nAnswer: 12*p**2*u**2 + 533688*p**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 - 4. Suppose s + 4 = x, g*x + 4*s + 16 = -0*s. Is 1\/(-2)*(-422 - x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 0*o + 10 = 0. Let h be o*(-7)\/2 - 0. Does 5 divide (24\/(-14))\/((-1)\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 10 - ((3 - (2 + -4)) + (-10 - -19))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4.9 - -4.9. What is the closest to 2 in p, 2\/3, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6)\/(-8)*66*76\/57. What is the greatest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -5*k**2 - 17*k + 1. Let a(x) = -x**2 - 4*x. Give 9*a(t) - 2*j(t).\nAnswer: t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1140115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 220112220110111 (base 3) to base 7.\nAnswer: 215622520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be (4*(-5)\/20)\/(2\/642). Let d = i - -518. What are the prime factors of d?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.3229 - 0.3229. Which is the second smallest value? (a) 33 (b) g (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 254615937 or 1?\nAnswer: 254615937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -2*x + x - 2*x + x. Let a(p) = 11*p**2. Calculate d(a(y)).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.13251 - -4.86749. Which is the closest to -2\/15? (a) 15 (b) i (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -9.103 to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22428?\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**2 - 2*i - 41. Let o be d(8). Suppose 1195 - 4576 = -o*t. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r**0*r))**(-21)\/(r**0\/r)**5)\/(r**(-1\/7)*r**0*r)**6 assuming r is positive.\nAnswer: r**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -525.08 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 10144583477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 9267 - 101931\/11. Sort 0.5, u, 0.12, 84\/13, 2\/3 in descending order.\nAnswer: 84\/13, 2\/3, u, 0.5, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:23 AM and 6:11 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Subtract 6987621 from 1.\nAnswer: -6987620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-7\/4)*z\/z**(1\/4))**(2\/129) assuming z is positive.\nAnswer: z**(-2\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + -1 + 8 + (-4 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = h - 18. Suppose -5*f = -4*l + h, 0 = -5*l - 3*f + 4 - 1. Suppose -t + l*t = 0. Which is bigger: t or -12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes before 12:42 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**2 - 24*h - 88. Calculate the remainder when 243 is divided by u(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes before 6:25 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2 - -2)\/(-3 - -5). Suppose -3*y + 1025 = n*y. Suppose -y = -v - 44. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 23*p**3 - p. Let u = 7 + -17. Let s be u\/(-6) + (-2)\/3. Is 9 a factor of v(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*v - 2*v. Let s be v - 3 - (13 + -19). Solve s*i + 5*r - 4*r = 2, 3*r - 6 = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (224924*b + 225743*b - 452809*b)*(-2*b + 3 - 3).\nAnswer: 4284*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*(-4)\/6*(-97)\/(8536\/33).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-69 + 37 + 116)*(2*k**2 - 3*k**2 + 10 - 4) as v + u*k + z*k**2 and give v.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 1285888040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -2 - 3 + 5 - 17*x**2. Let c(f) be the first derivative of -f**2 - 75. Determine d(c(i)).\nAnswer: -68*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.3 (b) 0.1 (c) 28 (d) 5\/3 (e) -1 (f) -48 (g) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 194045\/7 + -27630. Let z = d + -91. Which is greater: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65 = 52*u - 91*u + 52*u. Let r(b) be the first derivative of b**4\/4 - 2*b**3\/3 - 3*b**2\/2 + 8*b - 1. What is the tens digit of r(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2061*z - 2746*z = -31510 for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**3 + 11*o**2 + 21*o - 24. Let v be k(-8). Solve -72 = -v*t + 18*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((n*n**(-1))**(1\/2))**26)**40)**(4\/19) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5210?\nAnswer: 2, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 2.344*-97\nAnswer: -227.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be 9 - 4 - (3 + -2). Solve -y*d = 20 - 28 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 68 = 30*u - 28*u. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11.62162 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (251*i - 251*i + 29*i**2)*(-5 + 4 - i + 4*i).\nAnswer: 87*i**3 - 29*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 10991349 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00277 to 4 decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 0 - -1000100111011110111?\nAnswer: 1000100111011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 32, -513.\nAnswer: -513, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/8 and -17\/1182.\nAnswer: 4728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 12, y: 2, t: 1, d: 2, j: 2, l: 1}. What is prob of sequence jvt?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1651583387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k**3 + 12*k**2 + 1668*k + 12063. What is i(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -12233333 (base 4) to base 9\nAnswer: -41828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = 6*j - 104. Let m(n) = n**3 - 8*n**2 - 19*n - 2. Calculate the least common multiple of 20 and m(j).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = 10 - 2. Suppose i + 2*d = 14, 0 = 4*i + 3*d - s*d - 21. Solve 0 = 3*f + f - i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 255 minutes after 4:16 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3418196 is divided by 341812.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-v - 3*v + 0*v)*(703 - 32*v - 703) + 2*v**2 + 0*v**2 - 4*v**2 + (-v + 0 + 0)*(3*v + 3*v - 5*v) - 3*v**2 + 3*v**2 - v**2.\nAnswer: 124*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-8)\/(-36) - 43\/(-9). Suppose -6*n = -o - n + 3, z*o + 3*n = 15. Let c(f) = -3*f**2 + f**o + 4 + 2*f**2 - 3*f**2. Determine c(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 59347*d. Let l(r) = -106*r**2. Determine a(l(n)).\nAnswer: -6290782*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Solve 100251*a + 6486 = 100157*a for a.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3307 or 3304?\nAnswer: 3304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/4 - 3935\/20. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9 in -6, 5, -7149, -1\/82?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 134648706587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 16145 - 16144.966843. Round m to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (63\/35)\/(2\/(-2))*(-5210)\/3126?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 106*h - 2 + 78*h**3 - 205*h + 100*h to n*h**3 + t*h**2 + r + z*h and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8703 divided by 4.\nAnswer: -8703\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1226179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7146 times -2206?\nAnswer: -1576.4076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*2*sqrt(136) + sqrt(136) + -2*sqrt(136)*-5)\/(-1*sqrt(40)\/(sqrt(15)\/sqrt(3))*-2))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = o**3 - 3*o**2 + o + 2. Let x be f(2). Suppose -q + 5 = 5*n, -5*n - 4*q + 3 - 13 = x. Solve n*m = 2 - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2 - 3 - (-4 + 1). Factor 2*x**3 - 47*x**3 - 3*x + 39*x**4 - 4*x**5 + 0*x**5 - 8*x**5 + 21*x**n.\nAnswer: -3*x*(x - 1)**3*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 63379 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c be 5\/(10\/6) + -20. Let f be 0 + (1 - 41\/(-1)). Let z = c + f. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -349.142 - -186738.142. Let y = 186389.0770049 - d. Let k = y + -0.077. What is k rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7576, 7575, 7562, 7531, 7476, 7391?\nAnswer: 7270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/6*168\/(-126)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (1009\/((-5079306)\/13424))\/((2\/10)\/((-24)\/(-10)))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -177*u + 152*u = -114900. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -a - a + 5*a + (5 - 1 - 2)*(4*a + a - 4*a) + 41*a - 3*a + 35*a in the form w*a + f and give w.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*z = 70*z - 15*z + 1179391. Round z to the nearest 100.\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9 - -3. Is -1 + t\/(-4) - -1139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (13104\/(-1944))\/91*5\/10?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8435672us in nanoseconds?\nAnswer: 843.5672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -5*d**2 - 18*d - 2. Let i(b) = 18 - 27 + 16 + 16*b**2 + 55*b. Let u(j) = 14*g(j) + 4*i(j). What is the second derivative of u(v) wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 28 and 725356?\nAnswer: 5077492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 79.6773 months to centuries.\nAnswer: 0.06639775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 416103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12 and 86976.\nAnswer: 86976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - (5 + -15 + 29).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3 + -5. Let s = 476 - 3335\/7. Put 2\/9, -2\/7, s, h in ascending order.\nAnswer: h, s, -2\/7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 22925\/366800*-8*4\/(-214).\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1311 - -32?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**3 - 13*d**2 + 14*d - 14. What is p(-13)?\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 44807521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 52545 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -10*u + 2*u + 4*u + 2 + 5*u as q*u + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 276*t - 1556*t = 51*t - 77198 for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 459479600, 459479597, 459479592, 459479585, 459479576?\n\"Answer: -s**2 + 459479601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z = 5*i - 14, -5*i + 5 = -82*z + 87*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65 = 4*u + u. Let s = -8 + u. Suppose -f + 8 = -d, s*d + 9 = -6. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 times 31.4?\nAnswer: 31.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 313 - 259 = -9*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -37 in 0.063, 4, 101, 2?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in 0.081, 0, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-6)\/(-6))\/((-3)\/(-5241)) - -1. Suppose -12*k = -p + 572. Suppose k = s - 5*i, -4*s + 282 = 3*i - i. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 38, 47, 66, 101, 158, 243?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 30491 + -21290. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-456)\/228)\/(18\/24*(-16)\/126)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 14*r + 21. Let k be c(16). Let h be 3*7\/(k\/25). What is the second smallest value in h, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.23*-0.12941.\nAnswer: -0.0297643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2285 and 605.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 7593 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 12 - 13. Let m be 4\/16*k - (-470)\/24. Which is smaller: m or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.01811 * 0.028\nAnswer: -0.00050708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1390123781.\nAnswer: 37, 97, 387329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6\/5 in -0.92, 3, 33353, 1?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -32 + 10. Let t be r\/(-8) + (-3)\/(-12). What is the greatest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -d**2 - 8*d + 3. Let j be q(-8). Suppose -j = -5*k + 17. Is 7 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (218\/(-2) - (-28)\/(-7))*-13. Let h = y + -8833\/6. Is h equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the first derivative of -q**4\/4 - q**3\/3 - 32. What is p(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 - 18 = -4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2*-1 - (-4 + 0). Let v = 15 - 12. Suppose g*c - 10 = -v*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0, -1, 3, -1.58 in descending order.\nAnswer: 3, 2, 0, -1, -1.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.1 + -1. Let r = f - -0.2. Let n = 2983\/11 - 271. Which is the nearest to -1? (a) n (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*o + 2*o - o)*(-2 - 4 + 1)*(-2*o**4 - o**4 + 4*o**4).\nAnswer: -30*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41*p**2 - 361*p**2 - 143*p**2.\nAnswer: -545*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 6, h: 4, q: 5, v: 4, c: 1}. What is prob of sequence qvq?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5875*y**5 + 525*y**2 + 2*y.\nAnswer: 352500*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence imiq when four letters picked without replacement from mmmiqmiiiiiim.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r**2 - r**2 + 631*r**3 + 3*r - 183*r**3.\nAnswer: 448*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 259 and 5640909.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.11, 27, 11.\nAnswer: -0.11, 11, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 161879662?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g be (4\/3)\/((-18)\/(-243)). Let v = 20 - g. Do -1 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -b**4\/2 + 5626*b**3 - 525482*b**2 + 11780544*b + 25708032 = 0. What is b?\nAnswer: -2, 48, 11158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be 52\/42*38\/28. Let l be 22\/1155*(3\/21)\/(2\/(-10)). Let k = l + c. Sort 3, k, -5.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 46140982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1145, 59.\nAnswer: -1145, -2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1998793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 + (14 - 0) + -16 + -48 + 20.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 22350356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -9029, -35345, -61661, -87977, -114293?\n\"Answer: -26316*a + 17287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4121 - 11*s**3 + 4121.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 216215135.\nAnswer: 5, 43243027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 200976073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -94*f**2*m - 20*f*m**3 + 4837*m**3 wrt f.\nAnswer: -188*f*m - 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 6\/11 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1314625 to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(1331)*-5 - sqrt(1331).\nAnswer: 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*w**3 + 66*w**2 - w**3 + 5*w**3 - 5*w**2 - 61*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = -15.465 + 15.815. Let z = 3 + -6. What is the closest to 0 in -0.5, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s*s**9*s))**(1\/26) assuming s is positive.\nAnswer: s**(-5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the first derivative of 0*a**4 + 0*a + 0*a**6 - 24\/7*a**7 + 0*a**5 - 4*a**3 + 0*a**2 - 18. What is the third derivative of n(s) wrt s?\nAnswer: -2880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -6.538 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 124*n - 99 = 113*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 17 = -q + 2*q, -3*l = 4*q. Let d be q\/(-6)*1*14. Let n(h) = -h**2 - 5*h + 7. Calculate n(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -186*l**4\/13 - 82*l**3\/13 + 3572*l**2\/13 - 7352*l\/13 + 4048\/13 = 0. Calculate l.\nAnswer: -506\/93, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2.6 - -3. Let n = 502867\/11 - 45715. What is the nearest to -1 in 4, a, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -j**3 - 92*j**2 - 1431*j - 131641. Give t(-92).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 70757361131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 64*h - 326. Let l be k(6). Suppose -l*b + 16*b = -504. Solve b = 59*d - 62*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 + 6*f**2 - 3*f - 11. Is o(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 12*y + 48. Is 9 a factor of z(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-23600)\/(-115640)*7\/(-5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3 times -36?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35529920 - 35529920 + 22*y**3.\nAnswer: 22*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 98, -1, -40816.\nAnswer: -40816, -1, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 791660 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = 2*x - 9, 4*x + 0*i + 4*i = 12. Suppose 5*p = -3*f + 12, -p = -2*p - f + x. Solve 7*j - p*j - 8 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -712 in 5, -2, 8, -1\/4, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 4391303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 15*v**2 + 11*v - 23. Let t be d(3). Suppose -a + 3*a - o = t, 0 = a - 4*o - 76. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 317557 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6581, 13161, 19739, 26315, 32889, 39461?\nAnswer: 46031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 19773697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.308354 millilitres to litres.\nAnswer: 0.008308354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) be the third derivative of -o**6\/360 - o**4\/8 - o**3\/6 + 3*o**2. Let g(q) be the first derivative of x(q). Differentiate g(n) with respect to n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((sqrt(180) + sqrt(180)*1)\/sqrt(6))\/sqrt(10).\nAnswer: -1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 60.69 - 60.6879175. What is a rounded to 5 decimal places?\nAnswer: 0.00208","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u**4 - u**4 + u**4 + (u + 0 + 0)*(5*u**3 + 0*u**3 - 4*u**3) - 24 + 24 - 8*u**4 + 3*u - 3*u + u**4.\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -k**2 - 3*k + 4. Suppose 6*t + 240 = 11*t. Suppose -t = 8*m - 14*m. Calculate the remainder when m is divided by z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1179245164.1 to the nearest 10000.\nAnswer: -1179250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13 + -11. Let w(x) = 0*x + x**l + 108 - 53 - 54 - x. Let s be (8\/24)\/((-1)\/(-6)). Determine w(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ooy when three letters picked without replacement from {y: 3, u: 4, l: 4, o: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 25*v - 35. Suppose -t + 3*d - 9 = 0, 0 = -5*d + 9 + 16. Let c = t - 0. Solve -5*f - c = 5*r - 3*r, -v*r + f = -6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t**3 + 4531996*t**2 + 9063998*t + 4532000 = 0.\nAnswer: -1, 2266000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-32)\/3 + (12 - (-217)\/(-21)). What is the closest to w in -0.022, -1\/3, 0, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j**2 + 15*j - 2. Let k be l(13). Let d(v) = v**3 + 16*v**2 + 6*v + 102. Let c be d(-16). What is the highest common factor of k and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 + 5 - 4)*(-2 + 2 + 2*g) + g + g + 0*g)*(-3*g**2 + g**2 + 3*g**2 + (16 - 16 + g)*(-1 + 1 + g) + 0*g**2 + 0*g**2 + 3*g**2).\nAnswer: 30*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange g - 42*g**3 + 41*g**3 + 2*g + (2*g**2 - 4*g**2 + 3*g**2)*(g - g - 2*g) to b*g**3 + j*g + n*g**2 + u and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -3*u + u + 6, 0 = 4*t - 2*u - 4. Suppose t*l - 10 = -2*g, -6*g + 4*g = -3*l + 10. Suppose -g = 2*z - 11. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18 divided by -47.\nAnswer: 18\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 403*b + 25802. Give o(-64).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 63 and 33813?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 15092*q - 8 + 3 - 15131*q + (-3 + 3 - 2*q)*(3 - 1 - 1).\nAnswer: -41*q - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + o = -4, g + 7 = 6*o - o. Sort -2, 2, 0, g in descending order.\nAnswer: g, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z - 2. Let r = 8 - 16. Let c be q(r). Calculate the greatest common divisor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -29*g**2. Let o be (2 - (-4)\/(-1)) + 2 + 2. Let n(z) = 5*z**2 + 10*z**o - 16*z**2. Calculate x(n(c)).\nAnswer: -29*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 226 + -223. Suppose -6*s + 58 = -2*s - 2*n, -s = -d*n - 22. Calculate the highest common divisor of 91 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -67 + -cb?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the first derivative of 4 + 8*v - 1\/2*v**2. Let t be y(6). Let n(x) = -3*x + 2. Give n(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 40, 86, 132?\n\"Answer: 46*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 27108 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: Which is smaller: 30240 or 28024?\nAnswer: 28024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the first derivative of -b**4\/2 + 454*b**3\/3 + b**2 - 454*b - 3968. Factor m(v).\nAnswer: -2*(v - 227)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-625)\/7*(-45)\/25. Let y = -161 + k. Which is bigger: y or -13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2 (b) -0.071876515 (c) -3\/4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.0578 and 1.71.\nAnswer: -0.098838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be 232\/(-12) + (1 - 3). Let y = f - -20. Let p = 0 - 0. Is y >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4.532? (a) -3 (b) -5 (c) 2 (d) -4 (e) 2\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2065756?\nAnswer: 2, 7, 11, 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 1122101010 (base 3) to base 14.\nAnswer: bb09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*m**4*o + 328*m**3*o + 6*m**2*o - 2*m**2 + 81*o - 2 wrt m?\nAnswer: 48*m*o + 1968*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 4*w**3 - 3*w**2 - w - 6. Let k be i(3). Calculate the highest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 441*y - 2406. List the prime factors of m(68).\nAnswer: 2, 3, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (7 - (19 + -11))\/(1\/(-25)). Solve z = 8*f - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1655*p + 944 = 1596*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (20*p**3 - 20*p**3 - 9*p**4)*(11 - 8 + 4)*(-5*p + 3*p + 0*p).\nAnswer: 126*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -78 = -6*p - 0*p. Let f be (-10659)\/(-247) + (-2)\/p. Suppose -624 = -47*d + f*d. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 677 or 678?\nAnswer: 678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide 147448590 by 10.\nAnswer: 14744859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.05, 5, -0.5, 58, 0, 4?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = -3*y - 104 + 18, 0 = -r + 3*y + 10. Let g = 1069 + -1065. Sort g, 6, r in decreasing order.\nAnswer: r, 6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 + 210331320110?\nAnswer: 210331320102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -24*p**2 + p. Let i(z) = 170*z - 678. Let s be i(4). Suppose 8 = a + o, -3*a + 6 = -3*o - 0*o. Let y(l) = -5*l - s*l + a*l. Determine u(y(c)).\nAnswer: -96*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 4*c + 12*c + 4*c**3 - 13*c - 2*c**2 - 5 as s*c**2 + p*c**3 + b + m*c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*y + 24*y = -u + 141257, 3*y = 3*u - 423771. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 42\/5 and (2789940\/(-116247) - -24)*((-43)\/4 + -1).\nAnswer: 193745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12120011 - -11122?\nAnswer: 12201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zszuzzuuzzuzuu. Give prob of sequence uus.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 3*k - 1 = -8, 3*k = 3. Let l = -2 + z. Differentiate l*o**4 + 0*o**4 - 1 + o**4 + 0 with respect to o.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -91*i**2. Let q(x) = 1319*x**2 + 1319*x**2 - 2647*x**2. Give v(q(t)).\nAnswer: -7371*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.17, -3, 2\/7, -5, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 264*k**2 + 20*k - 74. What is o(2)?\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) -30.2 (c) -1 (d) 6 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -9422 != -367451\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jgrkzrzdgjzkgk. What is prob of picking 2 k, 1 g, and 1 d?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14, -17, -10, 13, 58?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -15, -79, 3, -1, 40 in decreasing order.\nAnswer: 40, 3, 2, -1, -15, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put together -49 and 7.196.\nAnswer: -41.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 10881 by 89026.\nAnswer: 10881\/89026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5 in 0.2, -2, 4, 1364, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 51679.2 nanograms in tonnes?\nAnswer: 0.0000000000516792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 776674*p*r + 2*p + 1106650*r wrt p.\nAnswer: 776674*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 20 = b. Suppose x = b*x - 120. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*-5*((-1 + -1*sqrt(80) - (sqrt(80) - (sqrt(80) + sqrt(80) + -2 + 4 + sqrt(80))))*-5)**2*-1.\nAnswer: -40500 - 4000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-36)\/15 + (-2108)\/(-1020). Which is the third biggest value? (a) -1.6 (b) -3 (c) -2\/5 (d) f (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 + 0 - (-1 + 2 - 1210) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 26*l + 1371. Let k(m) = -22*m - 1371. Calculate 7*k(r) + 6*w(r).\nAnswer: 2*r - 1371","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -707\/304 + -71\/19. Let g be ((-4)\/6)\/((-18)\/(-81)). Calculate the common denominator of k and (6*g)\/(96\/42).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, -17938, -0.2.\nAnswer: -17938, -0.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6, -20, -42, -66, -86, -96?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = v**2 + 7*v + 5. Let b be h(-7). Is 12\/(-4) + b - -72 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 y and 1 i when two letters picked without replacement from kihsyib?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1397 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 3, n: 9}. Give prob of picking 1 q and 2 n.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the third derivative of -s**6\/720 + 5*s**4\/8 + 6*s**2. Let b(w) be the second derivative of i(w). Give b(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2100*a = -2122*a + 4261*a + 2379 for a.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -2*v + 2. Suppose -5*u + 218 = -627. Let c(g) = -1 - 339*g + 171*g + u*g. Let d(a) = -4*c(a) - k(a). Give d(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**2 - 7*x - 3. Let w be z(-8). Which is greater: -13 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 211863345 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = -5*a + 96. Let b = -576 - -572. Calculate the remainder when 2\/b*(-288 + -28) is divided by a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 7*i**2*o*s**2 + 58*i**2*s**3 - 4153*i**2 - 30426*o*s**3 with respect to o.\nAnswer: 7*i**2*s**2 - 30426*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -8*u + 18. Let i be s(14). Let q = -89 - i. Solve 0*m + m - 8 = 2*b, 2*m + 2 = -q*b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 24668612 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 490 minutes after 8:39 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -219 or -1843?\nAnswer: -1843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let 0 + 6\/7*q**5 - 6*q**3 - 12\/7*q**4 - 72\/7*q + 120\/7*q**2 = 0. What is q?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5.3 - -5. Put q, 0.3, -0.2 in descending order.\nAnswer: 0.3, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11521498.\nAnswer: 2, 5760749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lj when two letters picked without replacement from lljj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(-6)*(-6 + 3). Let t be (11\/22)\/(u + (-33)\/(-6)). Which is the third smallest value? (a) 2 (b) 1\/4 (c) t (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3 + sqrt(9)\/sqrt(3) - (sqrt(3) - (4 + sqrt(75)) - sqrt(3))) + 5)**2.\nAnswer: 72*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -228*h = 222*h - 450 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**3 + 11*q**2 - 11*q + 13. Let g be p(9). Let i = -76 + g. Is 1\/94 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 7) + -2 + -16 + (10 - 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g + 1. Let m(q) = -9*q + 3. Let t(b) = -m(b) + 3*o(b). Let n(h) = 23*h. Let y(f) = -3*n(f) + 5*t(f). Let c(j) = -j. Determine c(y(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -31*n + 377. Let t be m(12). Let d = 49 - 49.4. Which is the second smallest value? (a) 24 (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) 77 (b) 3 (c) -0.3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0.026 times 43.89\nAnswer: 1.14114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -384*o**2 + 208 wrt o.\nAnswer: -768*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 25301 > 25290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -3*l**4\/5 + 6*l**3 - 84*l**2\/5 + 18*l\/5 + 27 = 0.\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 454*r - 742*r + 3540*r.\nAnswer: 3252*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 179069 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:38 AM and 7:37 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/23632 and -61\/504.\nAnswer: 212688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -123*z - 754. Give l(-2).\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 4*n. Let t(f) = f. Let l(p) = -2*k(p) + 6*t(p). Let u(c) be the second derivative of -1\/6*c**3 + 0*c**2 + 4*c + 0. Give l(u(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 219987064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -10.356, -1\/29, -2\/9?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -7.17227934 to 3 decimal places.\nAnswer: -7.172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/(1080\/(-75))*3\/(-2).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 260675165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the third derivative of z**5\/30 + 19*z**4\/9 - 52*z**3\/9 + 185*z**2. Factor l(c).\nAnswer: 2*(c + 26)*(3*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 7591 and 7378452?\nAnswer: 7378452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -9 + (38 - 24) + 18\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be 901\/51 - ((-8)\/6)\/4. Suppose g*h - 9*h = 8*h. Suppose -4*s + t + 811 = h, -5*s + 1040 = 7*t - 3*t. What are the prime factors of s?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g - 6*m + 8*m + 2, 5*m = 3*g - 4. What is the remainder when g*((-585)\/10 + -5) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -2792, -5470, -8136, -10784, -13408, -16002?\n\"Answer: n**3 - 2685*n - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 54623617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 3, p: 1, y: 1, m: 2, i: 1, x: 3}. What is prob of picking 3 z and 1 x?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -652, -2632, -5932, -10552, -16492?\n\"Answer: -660*a**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3.811 + -3.6674. What is v rounded to 3 decimal places?\nAnswer: 0.144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 252013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 27958276?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 157 (base 8) to base 16.\nAnswer: 6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1092641 divided by 1092641\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.09677 less than 0.5?\nAnswer: 0.40323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 8*t. Let l(q) = 922*q**2 - 435*q**2 - 463*q**2. Determine l(h(g)).\nAnswer: 1536*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 215005998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*j**4 + 414*j**3 + 849*j**2 - 1260*j.\nAnswer: -3*j*(j - 140)*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -5*p**3 + 2*p**2 - 4*p + 2. Let k be m(1). Let g = -16 - -15.9. Which is the nearest to g? (a) -1 (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 549618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3\/7 or -25451?\nAnswer: -25451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10779162 to the nearest integer?\nAnswer: 3283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 4*b + 6 = -12, 7 = m + b. Suppose 0 = -2*l + 16 - m. What is the remainder when l is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -1, -4 in decreasing order.\nAnswer: 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -9 (b) -15.708 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fljjylofjooylfwfl. Give prob of picking 1 y and 1 j.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -1\/6, 58, 0.2, 0 in decreasing order.\nAnswer: 58, 0.2, 0, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u be -5*(1 + (-3 - 232\/10)). Let k = 123 - u. Let z(p) be the first derivative of -3*p**2\/2 + p - 1. Determine z(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 d, and 1 x when three letters picked without replacement from mxmmmcxmd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes before 4:04 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = -156 - 8. Let b = 165.41713 - 1.97013. Let v = b + p. Round v to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0061736 minus -19.703?\nAnswer: 19.7091736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-420030)\/(-6462)*(-6)\/40\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 1, m: 2, p: 1, g: 1, z: 2}. What is prob of picking 1 u, 1 g, and 2 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 5*s**2 - 4*s. Let n(h) be the first derivative of -3*h**3 + 7*h**2\/2 + 2. Let d(l) = -4*n(l) - 7*o(l). Let c be d(2). Are 0 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -21, 42, 151, 330, 603, 994, 1527?\n\"Answer: 4*k**3 - k**2 + 38*k - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 73 - 56. Suppose 0 = 2*i - m - w, -2*m = -5*i - 3*m + 46. Factor 7*k**4 - 15*k - i*k**3 + 24*k**3 + 0*k**4 - 2*k**4 - 5*k**2.\nAnswer: 5*k*(k - 1)*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21683 is divided by 1166.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 3*i**2 + 2*i + 2. Let l(o) = 5*o**2 + o + 2. What is the remainder when b(-2) is divided by l(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 4 (c) 0.5 (d) -2\/3 (e) -550\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -7*b**2. Let v(j) = -269*j. What is v(t(c))?\nAnswer: 1883*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -242619603, -242619597, -242619591, -242619585?\nAnswer: -242619579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-28)\/(-35) + 332712\/360 is divided by 298?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 19 + -34. Let x = 16 + y. Is x less than -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = 4*f - 28, 2*f + 530 - 554 = -b. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 100 = 9*s - 4*s. Let j be 16*4\/(-2*4). Let q be ((5*j)\/2)\/(-2). What is the highest common factor of q and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-84007)\/(-6) + 4\/(-24). Let z = i + -4078. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand w**3 - 6*w**5 - w**3 + (-3 - 1 + 3)*(75 - 6*w**5 - 75) - 2*w**5 + 3*w**5 + 5*w**5.\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(325) + sqrt(325)*2 + sqrt(325) + 3))**2.\nAnswer: 1080*sqrt(13) + 46881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1448.4 + 935.4. What is the closest to -0.1 in 1\/2, 3, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-10)\/(-20))\/(4\/(-16)). What is the closest to 0.1 in u, 0.3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r**(2\/3)\/r)\/r)**45\/(r*r**(1\/2)*r*r**0*r))**(-2\/7) assuming r is positive.\nAnswer: r**(127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be 178500\/625*20\/6. What is the greatest common divisor of b and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 514?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3.5 - 0.5. Let h = -1656 - -1655.9. Let r = -4 - -3. Which is the closest to h? (a) r (b) p (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1160 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -1357+18108\nAnswer: 16751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4416.5 in -2\/9, -16, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:25 AM and 6:38 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**3 - 30*s**2 + 56*s - 6. Let c be w(28). Let m be 4\/18 + 42\/54. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 2*h + 3. Determine a(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 374, 13, -1\/8 in increasing order.\nAnswer: -1\/8, 13, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -1.02, -1\/5 in descending order.\nAnswer: 0.5, -1\/5, -1.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7394091 - -7394091.091699042. Let d = i + -0.0917. Round d to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-66)\/88)\/(15\/2)*10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 15\/(-5) + 9 - 6. Sort 0.4, p, -0.1, -6 in increasing order.\nAnswer: -6, -0.1, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.03 or -1070?\nAnswer: -1070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4\/(-6) + -106*(-8)\/(-24). Let x be -22*(4\/(-12))\/(3\/j). Let i = -84 - x. Solve 2*l = i*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 1 = -1. Let p = k + -27. Let a = p - -82. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2694040 divided by 11464.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 4 = 10. Suppose -z*h + 7 = -3. Let v(y) = 2*y**2 - 3*y + 3. Let w be v(2). Solve 4 = 4*j + 3*i, -h*j - w*i + 1 + 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 2, s: 1, q: 1, d: 2, k: 2, o: 1}. Give prob of picking 1 o and 2 d.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 5188219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sum 44.542246 and 4490913.\nAnswer: 4490957.542246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (126*k - 113*k - 211*k)*(25*k**2 - 23*k**2 - 15*k**2) to z + m*k + f*k**3 + j*k**2 and give f.\nAnswer: 2574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-92)\/2)\/(-23)*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -f**2 + 3*f**2 - 261*f + 261*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 55 + -59 - (1 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -304*y**5\/3 - 303*y**4 + 3*y**3 = 0. What is y?\nAnswer: -3, 0, 3\/304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (34 + -34)\/(-53) + 25*-1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 15431842103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u - 20363*l = -20348*l - 589, 3*u + l + 4*l = 198 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (-d**2 + 3*d**2 + d**2)*(-3 + 0 - 2)*(-2*d + d + 2*d) in the form r*d + s + i*d**2 + n*d**3 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2945614?\nAnswer: 2, 7, 210401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/51 - (-99)\/408?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-9)\/(-2)*(-2 + (-8)\/(-3)). Suppose 5*h + j = 23. Suppose 14 = 4*t + 2*u, t + 5*u = -h + 12. Solve 0 = -t*l - 4 - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6788 - 6870. Sort r, 5, 1, -3, -4.\nAnswer: r, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9 - 2. Suppose -x + 19 = -t. Let b = 23 + t. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 + 4. Let v(w) = -10*w. Let r be v(1). Let j be r\/24 + (-6)\/(-9). Which is the third smallest value? (a) j (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 491384.\nAnswer: 2, 239, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 36, 88, 140, 192, 244, 296?\n\"Answer: 52*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**(9\/5))\/(v**(-4)\/v) assuming v is positive.\nAnswer: v**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -654916.9 take away -0.5?\nAnswer: -654916.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -2000*c + 6396. Determine z(3).\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the first derivative of 2*p**4 + p**3\/3 - 3. What is the third derivative of r(b) wrt b?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from uugsuxrjuuuujuguju.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/1)\/(4\/(-6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 61\/21 and -121\/37590?\nAnswer: 37590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2 + 5\/3. Let q be 2\/(-6)*18\/(-24). Which is the nearest to -2\/5? (a) k (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34844?\nAnswer: 2, 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3440 - 3449 - (9 + (0 - 1)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 5 = 1. Let f be (-3)\/9*(-3)\/1. Suppose 5*n = 3*y - 24, -f = 3*y + 4*n + 2. What is the remainder when w is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 1388*i + 4069. Let j be b(-3). Is -87 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 16 + -11. Let g be 5\/(-2)*(3 - p). Suppose 2*v = 0, g*s + 2 = 5*v + 87. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -5 (b) 30\/443 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the second derivative of -2*p**8\/7 + p**6\/30 + 3*p**5\/20 - p**4\/6 + 2083*p**3\/6 + p**2\/2 - 98*p - 52. Find the third derivative of b(v) wrt v.\nAnswer: -1920*v**3 + 24*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.626435 months in centuries?\nAnswer: 0.0038553625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1039?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d - 6*d + 40. Suppose 5*p - 4*q - 25 = 0, 5*p - d = p - 5*q. Let r = 4 + -2. Which is the second smallest value? (a) r (b) -0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1697.3*12.25\nAnswer: -20791.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -13766*a**2 - 2*a**3 + 17 + 13766*a**2. Let p(n) = -4*n**3 + 33. What is -7*o(i) + 3*p(i)?\nAnswer: 2*i**3 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 4*m - 31 = -0*m, 13 = -3*y - m. Let j be ((-18)\/4)\/(y\/8). Let i = 2 + j. What is the smallest common multiple of 22 and i?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(40)*-2*-5)\/(sqrt(8)*-3*3)*1.\nAnswer: -10*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**3 + 72*v**2 - 422*v + 10190. What is a(68)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -382412849?\nAnswer: 3\/382412849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 - 5. Let x(h) = h**3 + 9*h**2 + 17*h - 2. Let c be x(-6). Suppose c*u + 5*l - 1 = -3, -4*u = -5*l - 18. Solve 2*i = o - 0*i - u, d = -5*i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**3 - 7*k**2 - 128*k + 904. What is x(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.16 times -5.8?\nAnswer: 0.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 65737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q**(-8)*q)\/(q\/(q\/q**(3\/2)*q)))\/(q**(-6)\/q)**(-2\/37) assuming q is positive.\nAnswer: q**(-509\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the third derivative of m**4\/24 - m**2. Let l(c) be the second derivative of -c**3\/6 - 4*c. Determine u(l(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**3 + 6*h**2 - 7*h + 6. Let b be q(5). Let z be -2 - (-2 + 1)*-1. Which is bigger: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.14 - 4.14. Which is the smallest value? (a) g (b) -2\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**2 - x + 3. Let m = 195 + -194. Let b = m + -4. Calculate p(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -566319*0.11.\nAnswer: -62295.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1062544625 to the nearest integer?\nAnswer: 32597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -259*c**4 - 65 + 0*c + 639*c**4 + 0*c wrt c.\nAnswer: 1520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 3*r = -12 - 2, 4*s = 5*r + 5. Suppose -4*k + 11 + 23 = 2*h, s*k = -3*h + 50. Solve 4*m + 1 + h = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*t + 2*t + 0*t)*(0*t + 0*t + t) + 8 - 4*t**2 - 8.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -215 (base 9) to base 2.\nAnswer: -10110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, p: 5, w: 2, x: 1, b: 2, y: 2}. Give prob of sequence pk.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/4*580\/(-87).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 2*o**2 + 4*o + 2. Let z be v(-2). Suppose -3*w - z - 4 = 0. Let l(j) = j**2 - 3*j - 5. Let b be l(0). Sort -1, b, w in decreasing order.\nAnswer: -1, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the second derivative of 1\/2*m**4 + 20*m + 0*m**2 + 0 + 3\/20*m**5 + 0*m**3. What is the third derivative of s(z) wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.15278 - -1.15278. Let a = 2 + 0. Put 0.58, a, g in decreasing order.\nAnswer: a, g, 0.58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, h: 7}. Give prob of picking 4 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 102737552 divided by 18896.\nAnswer: 5437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -10010000000001 (base 2) to base 14\nAnswer: -3505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = 2*i - q + 4*q, 4*q + 20 = -4*i. Let o be (-3 + (-14)\/i)*6. Solve -o*w - 2*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -64428*o**3*x + o**2*x - 2*o**2 + 2*o + 726 wrt o?\nAnswer: -386568*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(-1 - 10\/(-5)). Let u(j) = 30*j**2 + 174*j - 42. Let t be u(-6). Let x = 5 - 0. Put x, -2, t, k in descending order.\nAnswer: x, k, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/(-8) + (-45)\/(-36). Suppose -2*k = -k - 1. Let p = k + z. Is 1 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -662, -1326, -1990?\nAnswer: -2654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 159 minutes before 2:44 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4512 + 4575. Calculate the remainder when 3\/3 - (-498 + -2) is divided by x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 24640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n**3 - 8*n**2 - 7*n. Suppose -14 - 2 = -2*b. Suppose 5*m + 55 = -3*r, 0 = 10*r - 6*r - 3*m + 54. Let q = r + b. Determine c(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d*d**1*d*d**(1\/4))\/(d\/(d\/(d*d**(-1))))**(-1\/43) assuming d is positive.\nAnswer: d**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j\/(j\/((j\/(((j*((j**(-1)\/j)\/j)\/j)\/j)\/j))\/j))*j)\/j)**(-1\/19)\/(j\/(j*j**(-1)))**(5\/9) assuming j is positive.\nAnswer: j**(-149\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -2*w**5\/15 - 32*w**4\/3 - 348*w**3\/5 - 1616*w**2\/15 - 146*w\/3 = 0.\nAnswer: -73, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 5 - 180 + q + 42 - 24*q**2 - 6 wrt q.\nAnswer: -48*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/3 or -53.63?\nAnswer: -53.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(567) - (sqrt(567) + 4 + sqrt(567)))**2 + (sqrt(7) - (5*sqrt(49)\/sqrt(7))**2).\nAnswer: 73*sqrt(7) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 11706502 and 7736?\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = -2*l - 2*t + 3*t, 24 = -2*l - 2*t. Let d be 6\/21 - 52\/l. Find the first derivative of 1 + 3*v**3 - d + 0 wrt v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:29 AM and 8:59 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the third derivative of -d**6\/45 + d**5\/120 - d**4\/24 + 8*d**3\/3 + d**2 + 21. Let z(y) be the first derivative of g(y). Determine z(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = 3*h + 5, 4*h - 36 = -694*w + 690*w. Solve 2*z + 84 = -w*m + 80, 0 = -4*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k + 20 = 16*k. Find the second derivative of -16*d**2 - d**k + 48*d - 69*d wrt d.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in 10, 4550, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 2*l**3 + l**2 + 4*l. Let q(x) = x**2 - x + 1. Let r(a) = b(a) + 4*q(a). Let i(m) = -m**3 - 4*m**2 - 3. Determine -4*i(h) - 3*r(h).\nAnswer: -2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-6)\/v**(-2\/25)*v**5*v*v**6*v*v assuming v is positive.\nAnswer: v**(202\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the first derivative of b**4\/4 + 11*b**3\/3 + 2*b**2 - 2*b - 25. Let l be h(-4). Calculate the highest common divisor of l and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes before 7:49 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -4 - a**2 - 8*a - 2*a + 17*a. Let d be f(5). Let l(c) = 3*c + 2. Is l(d) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 2*k**2. Let y(w) = 4015*w**2. Give g(y(r)).\nAnswer: 32240450*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1169277330 to the power of 1\/3, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 821*0.43756.\nAnswer: 359.23676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 230, -104, -1014, -2788, -5714?\n\"Answer: -48*k**3 + 2*k + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2481209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = -34\/91 - -3\/13. What is the second biggest value in 3, x, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-20)\/(-9) + (-10)\/45. What is the units digit of (1 - 0)\/(l\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -125244561 (base 7) to base 12.\nAnswer: -283b816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -25 - -29. Which is the fourth biggest value? (a) -3\/5 (b) 2\/11 (c) y (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-47 - 90 - 175)*(-4*x - 2*x**3 + 4*x) - x**3 - x**3 + 3*x**3 to t*x**3 + o*x**2 + g + y*x and give t.\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the second derivative of -m**5\/20 - 11*m**4\/12 - 3*m**3\/2 + 4*m**2 - 3*m. Let t be l(-10). Is (-237)\/(-6)*-1*t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -135 + -a2?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5710235 is divided by 2520?\nAnswer: 2435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Subtract -4373 from -655.328.\nAnswer: 3717.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46*j - 92*j + 7094*j**3 + 46*j - 6778*j**3.\nAnswer: 316*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from spsp. Give prob of sequence spps.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 22*o**4 + 4*o**3 + 15*o**2 + 18044?\nAnswer: 88*o**3 + 12*o**2 + 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 3, t: 1, l: 4}. Give prob of picking 4 l.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 244, -5.\nAnswer: -5, -3, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 69 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 386.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -3.45, 62, -3, -1\/4, 5.5?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 305094900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 5005971 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 22 - -54b876?\nAnswer: 54b898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -3*n**3 - 14*n**2 + 14*n - 1. Let t(k) = -2*k**3 - 7*k**2 + 7*k. Let r(f) = -11*f + 105. Let c be r(10). Let b(j) = c*t(j) + 3*o(j). What is b(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8722190 is divided by 9627?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m + 3*v - 114, 32 = -m + v - 2*v. Let p be ((-20)\/m)\/((-2)\/6). Is (-6)\/p - 10*-3 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 97249?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 61 a factor of 13847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -1901653 to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 2*p = 92, 2*p = 3*p - 1. Is (-1 - -2)\/((-3)\/x) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 4*q - 1 = 0, 0 = -5*j + 3*q + 3 + 6. What is the third derivative of j*x**2 + 0*x**2 - 5*x**2 - x**5 + 4*x**2 wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**3 - s**2 + s + 4. Let c(n) = -6*n**3 - 11*n**2 + 3*n + 26. Let z(j) = c(j) - 5*r(j). Give z(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.06 + -5755937\nAnswer: -5755937.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.11599, 2\/7, -2, 2, 0 in increasing order.\nAnswer: -2, -0.11599, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6752433408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2 - -3. Let p = 33 + -30. What is the third smallest value in p, 2, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20 = 5*k + 5*s, -279*k + 284*k = 5*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1 (b) 1\/4 (c) -3409 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 281*o + 556. Let b be c(-2). Let z(i) be the third derivative of -i**5\/30 - i**4\/2 - i**3 + 2*i**2. Let v be z(b). Round v to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 4 = 4*u, -u + 19 = -2*o - o. Solve 3*t + 1 = y - 19, 0 = -u*t - 4*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -87.812659 rounded to one dp?\nAnswer: -87.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 8*h + 250. Calculate g(-13).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 682 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*q - 3*q + 2*q + 4*q - q - q + (0 - 2 + 1)*(-3*q + 6*q - 4*q) - q - 2*q + 2*q - 5*q + 5*q + 3*q - 1 + 1 + 4*q)*(-402 + 178 + 201).\nAnswer: -184*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 4*o - 7 = 0, -5*y = -2*o + 55 + 16. Let t = y - 0. Let l be ((t\/6)\/1)\/((-5)\/10). Solve -3*j - 6 = 0, l*j = 3*n - 2*n - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 4*f = 0. Suppose 3*x - 4 = j - 13, -x - 2*j - 3 = f. Let w be (-14)\/(-245)*(-2 + 2\/6). Sort 3, x, w in ascending order.\nAnswer: x, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -3*k. Calculate the remainder when v(-3) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*n = -23 + 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 444 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4.6 + 2.9. Let v = p - -8.5. Let r = v - 6.3. Which is the closest to -0.1? (a) -4\/3 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 + -109?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 4748629563 to the nearest one hundred thousand.\nAnswer: 4748600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 376 and 18283.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 52451\/118*(-2)\/(-1). What is the units digit of k - 12\/(-18)*9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6982448 divided by -872806?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h - 113 = 8*d - 38, -d - 4*h = 6 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 43 + -38. Suppose 0*h + m = 3*h - 123, p*h + m = 213. What is the greatest common factor of h and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*q**2 - 285 + 12315*q - 12315*q to s + o*q + p*q**2 and give s.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c**2 - 4*c - 2. Calculate n(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the third derivative of -b**4\/24 + b**3\/3 - b**2. Let z(g) = -g**3 - 13*g**2 - 11*g + 17. Let q be z(-12). Give m(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 11*c + 12947 = 14*c, 2*c + 12952 = 5*m. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-18)\/(-10)*(-7160)\/111696?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 65165.73 milliseconds?\nAnswer: 1.0860955","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 83130 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 1042 (base 8) to base 15.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6 in -269, 14.5, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*q + 10 = 12*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.010395454 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = y**3 + 107*y**2 - 214*y + 442. Calculate z(-109).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 131*j - 1071. What is m(-5)?\nAnswer: -1726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -142*m**3 - 49*m**3 - 103*m**3 + 123*m.\nAnswer: -294*m**3 + 123*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 2*a - 4, 0*a + 10 = 2*a + p. Suppose 8*t = a*t + 28. Suppose 0 = z - 3*o + 7, 4*o = -0*z - 4*z + 36. Is t bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 62506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1306 + -11?\nAnswer: -1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.08 - 0.27. Let j = y + -0.01. Let d be -3 + 2 - 1*-6. Put -1, j, d in ascending order.\nAnswer: -1, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -8, -2, -1, 1 in descending order.\nAnswer: 1, 0, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 26 in -4\/3, -4, 1763, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -59.1 and -81?\nAnswer: 21.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - c)*(34*c + 73*c + 2*c)*(0*c + 0*c - 2*c**3) + (2 - 2 + 2*c**2)*(-2*c**3 + 3*c**3 - 2*c**3).\nAnswer: 216*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -27, -53, -79?\n\"Answer: -26*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((1 - -171)*(-14)\/84)\/(42 + -50) and -25\/246?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -4*n**3 - 5*n**2 + n. Let h(s) = 2*s**3 + 4*s**2 - s. Let q(t) = -6*h(t) - 5*m(t). Determine q(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = l**3 + 32*l**2 + 30*l - 24. Calculate the remainder when 12 is divided by s(-31).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 2, z: 2, t: 1, u: 5, y: 4}. Give prob of sequence yhzz.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 9849, 19685, 29519, 39357, 49205, 59069?\n\"Answer: k**3 - 7*k**2 + 9850*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 4*v = -40, -3*v - 179 = -0*f + 4*f. Let y be (-22)\/f - (-6)\/4. Suppose 2*r = 2, -r = y*n + r - 2. Solve n = -u - 0*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l - 4 = 4*j + 3, -9 = 4*j + 3*l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 734367 and 20445203?\nAnswer: 10643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -3*g - 4. Let z(t) = t. Let f(u) = -u + 5. Let y(x) = -f(x) - 6*z(x). Let c(w) = -3*j(w) + 2*y(w). What is c(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the third derivative of -11*v**6\/120 - v**5\/12 - 31*v**4\/24 + 4*v**3 + 3*v**2 - 10*v. Is b(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = -10, 0 = -0*a + 5*a + 3*s - 10889. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 79800 and 884982?\nAnswer: 88498200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*n = 8*n + 378. Let c(l) = -n*l**2 - 2*l + 0*l + 1 + 5*l + 41*l**2. Suppose 2*g - 20 = 5*t, -2*g = -g + t - 3. Determine c(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (10*14\/1925)\/(2\/(-5))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*b + 13 = -9. Let m be ((-2)\/5)\/((-3)\/15*b). Solve -3 = t - m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 775997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*y + 2106 = -8*y + 97*y for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-6)\/5*5\/(-2). Let h = -60 + 60. Solve x - z*m - 15 = h, -4*x + x + 21 = -3*m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 9 - 714?\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.121134 from 0.4.\nAnswer: 0.278866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 824455 divided by 71.\nAnswer: 824455\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -12 + 11. Let h(n) = -5*n + 12. Let q(i) = -i. Let w(j) = y*h(j) + 4*q(j). Calculate w(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -160058\/19 - -8432. Let c = j + -2849\/190. Calculate the common denominator of -23\/16 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = 2*c - c - 2, 11 = 3*c + m. Suppose -343 = -c*u + 2*d - 39, 3*u + d - 218 = 0. Let q = u - 51. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n**3 - 5*n**2 + n - 3. Let x be f(5). Suppose -x*o = -o - 35. Calculate the greatest common divisor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3790247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 8300.201 years in millennia?\nAnswer: 8.300201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + p = 5*v - 8400, 4186 = 2*v - 4*p. List the prime factors of v.\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -11809, -73, -70?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (j + 2*j - 2 - 2*j)*(-17*j**2 - j + 29*j**2 - 16*j**2) as g*j**3 + s + t*j**2 + u*j and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*q**3*r**3 - q**3*r + 214*q**2*r**3 - 74*q*r**3 - q*r**2 + 23*q*r - 3486*q - r**2 wrt r?\nAnswer: -12*q**3 + 1284*q**2 - 444*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(2\/23)\/v)**32)**27 assuming v is positive.\nAnswer: v**(-18144\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = 242 - 2010. Suppose -h - 2*h = 5*g - 687, 2*h = 2*g + t. What is the greatest common divisor of 28 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 237841 is divided by 1370.\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 83343075?\nAnswer: 3, 5, 683, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*w**5 + 13566*w**3 + 3199522*w wrt w?\nAnswer: 80*w**3 + 81396*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -45\/212 and 55\/673968?\nAnswer: 35720304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 285, 282, 277, 270?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -v**3 + 4*v**2 + 3. Let f be m(3). Is (402\/f)\/((-2)\/(-4)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 2 + o**3 + (-4 - 5 - 2)*((3*o - 2*o - 3*o)*(-3*o + o + 4*o) - 2*o**2 - 2*o**2 - o**2)*(0*o - 3*o + 4*o).\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -n**2 - 2*n. Let j(l) = 4*l**2 + 7*l - 1. Let z = -26 + 33. Let b(i) = z*y(i) + 2*j(i). List the prime factors of b(6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by 593?\nAnswer: -5\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**(-6)\/i)\/i*i)\/((i\/i**15)\/i)*i**7\/((i\/(i\/(i*i*(i\/(i*i**(-5\/8)))\/i))*i*i)\/i))**(-8) assuming i is positive.\nAnswer: i**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 5*m + 3*o - 1, m = -2*o - 2. What is the derivative of 1 - 6 + 11*y**2 - 6*y**m wrt y?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-16)*q)\/(q*((q*((q*q**(-2\/5))\/q*q)\/q)\/q)\/q) assuming q is positive.\nAnswer: q**(-73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 245110?\nAnswer: -1\/245110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 times -1352820?\nAnswer: 541128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -3*n**2 - n. Let l(v) = -16*v**2 - 6*v. Let q be 55\/(-10)*(-1 - -3). Suppose 0 = 2*m - 19*m + 1921. Suppose -8*b - 97 = -m. What is b*l(g) + q*f(g)?\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 135995?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/4*d**4 + 41\/2*d**2 + 0 + 83\/4*d**3 + 0*d.\nAnswer: d**2*(d + 1)*(d + 82)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 < 1\/33491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the first derivative of -3*x**2\/2 - 1. Let c(g) = g**2 + 6*g - 5. Let w be c(-7). Let s(d) = -w + d + 4 - 2. Determine y(s(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 4*i**2 - 4*i**2 - 2*i - 1 + 2*i**2. Let v be f(-1). Find the first derivative of -3 + 4 - v*c**4 + c**4 wrt c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 (base 7) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 82078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**7\/o**1)\/(o**(-2\/15)\/o*o*o\/(o*o*o**(-5)*o)) assuming o is positive.\nAnswer: o**(47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9279937 is divided by 316.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) + 4*-3*sqrt(19) + sqrt(19) + sqrt(38)\/(sqrt(2)*-3))*5.\nAnswer: -155*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor q**2 - 5008*q + 1162416.\nAnswer: (q - 4764)*(q - 244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w + 3378 - 678 = 0. Suppose -11*j - w = -14*j. Does 58 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 3*n. Let j(h) = 4*h + 3. Let p(z) be the first derivative of z**2\/2 + z + 3. Let s = 9 - 6. Let r(c) = s*p(c) - j(c). Give l(r(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 85 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -0.9263 (b) 0 (c) 5 (d) -0.6 (e) 13 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 210 divide 43890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.85059585 to 2 decimal places.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -250*t + 2197 = 50*t - 70*t + 357 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 2, -94, -218, 6 in decreasing order.\nAnswer: 6, 2, -1, -94, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 243 and 496759.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be 12\/8 + 0\/(-1). Let c = -0.5 + 0. Let b = 618\/7 + -88. What is the third biggest value in c, b, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d + 112 = 4*t + 123, 2*t = -d - 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 - 5*d**2 + 3*d + 6*d**2 + 0*d**2 + (-2*d - 2 + 2)*(1 - d - 1) + d**2 + d**2 + 0*d**2 + d**2 + 7*d**2 - 2*d**2.\nAnswer: 11*d**2 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00247996 rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2308 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 - 1)*(-4012*s**2 - 2364*s + 2364*s - s + s - s**2 + 0 + 0 - s**2 + 4*s**2 + 3*s**2 - 6*s**2 + (2*s - 2*s - 2*s)*(2*s - 3*s + 2*s)).\nAnswer: 8030*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l**5\/7 - 50*l**4\/7 + 6*l**3\/7 + 22*l**2 + 100*l\/7 = 0.\nAnswer: -25, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 q and 1 i when four letters picked without replacement from {i: 1, q: 11}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*u**4 - 2501978*u**3 + 346136*u**2 - 6 wrt u.\nAnswer: 72*u - 15011868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -120 + 253. Suppose -z + 14 = -2*l + d, 0 = -3*l - 4*z + 206. Suppose 5*w = 3*c - l, -2*c + 4*w = -0*c - 40. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 65149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = -46 + 49. Which is the biggest value? (a) 4 (b) -2\/13 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 545, 726, 921, 1130?\nAnswer: 1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -24, -159, -530, -1257, -2460, -4259, -6774?\n\"Answer: -20*j**3 + 2*j**2 - j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = 3*b - 2, 3*g = -3*b - 33. Let w be (-135)\/g + 9\/12. Solve -w - 8 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1565.5 - 1565. Let v = 0.06 - 0.06. Which is the closest to 0? (a) x (b) v (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k + 6*k - 2*p - 42, -4*k = -3*p - 83. Calculate the highest common factor of 8 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:34 AM and 12:27 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 6866, 15129, 23404, 31697, 40014?\n\"Answer: t**3 + 8256*t - 1391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 835403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 2090712 divided by 312?\nAnswer: 6701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (444*y + 243*y - 138*y)*(-5*y**2 + 2*y**2 + 2*y**2).\nAnswer: -549*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -67*u + 88*u + 132 = -162 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*d**3 - 65 + 2*d**3 + 195 - 71 - 59.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 51 + 9 - 21 + 2588*k - 15 - 2585*k - 24.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 242599, 970432, 2183487, 3881764, 6065263, 8733984?\n\"Answer: 242611*y**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -4*h + 19. Suppose 3*d = -4*c + 22, -h*d = 2*c - 3*d - 14. Let y(j) = c*j - 3*j - 2*j - 1. Determine y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 * -0.3957.\nAnswer: -0.7914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 204 + -32?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is t in -14*t**4\/13 - 522*t**3\/13 - 4670*t**2\/13 + 3762*t\/13 + 1444\/13 = 0?\nAnswer: -19, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 151\/2046 and 47\/1488.\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -5268115512 divided by -6\nAnswer: 878019252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from awzwzmzaaw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 361619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor a**4\/6 - 337*a**3\/6 - a**2\/6 + 337*a\/6.\nAnswer: a*(a - 337)*(a - 1)*(a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -113 + -301523?\nAnswer: -302040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-201)\/(-30) + 20\/(-25). Let k = m + -11\/2. Is k greater than or equal to -2.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2\/197 - 798\/985. Let k = 342\/17 - 20. What is the third biggest value in 0.2, j, k, 2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -44 + 39 - (-33 + 50)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -45365, -90729, -136093, -181457, -226821?\n\"Answer: -45364*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**(-1\/20))\/((z**(-22)*z)\/z))**(-1) assuming z is positive.\nAnswer: z**(-459\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 12 = 2*d. Let i(s) = s**3 - s**2 + 1. Let u(n) = -7*n**3 + 5*n**2 + 4*n - 7. Let a(h) = d*i(h) + u(h). What is a(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -22525, -22302, -22067, -21814, -21537, -21230, -20887, -20502?\n\"Answer: r**3 + 216*r - 22742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -85*m + 73*m + 300. Let k(j) = j - 31. What is k(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 3 + 1 = -h, -4 = h + 4*v. Let l(j) = -2*j - 2. Let p be l(-5). Let a = -2 - -2. Solve 0 = -h*q - a*q - p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14758248 to the nearest integer?\nAnswer: 3842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3024358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 13919460*0.5\nAnswer: 6959730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -878.7 and -213652?\nAnswer: 212773.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -12, 0.2, 0.4, -5, 0.032?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 12101 (base 3) to base 5.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*f**2 - 23*f**2 + 96*f**2 - 50*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*m - 1 - 5*m + m - m - m + 0*m + (-m + 2*m - 2*m)*(4 - 2 - 5).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -283.90577 - -283.73. Let d = x + 0.175. Round d to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 5*a**3 - 4*a - 2*a**2 + 3*a - 1 - 1 - a. Let q(h) = -29*h**3 - 7 - 11*h**2 - h - 4 + 55*h**3 - 10*h. Calculate -11*m(v) + 2*q(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 4313846826 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h**3 + 2*h**2 + 9*h - 10. Calculate the least common multiple of c(3) and 157.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 341*-0.2.\nAnswer: -68.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 812765719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1 + -1 + (0 - (-14755)\/7395). Do 1 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.4486 - 0.0514. Which is the nearest to w? (a) -0.2 (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t*t**(2\/53)*t)\/t)\/t**(-3\/7)*(t\/(t*t**4))**(-4\/3))**(-8\/19) assuming t is positive.\nAnswer: t**(-60544\/21147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*k - 72 = 468 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 49*(182688\/4704 + -38).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/4 of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-1)\/(-2) + -1)*-60. Suppose -4*s + 5 = -3*k, -3*s + s - 4*k = -y. What is the remainder when 14 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -32 - (-319 - (-145 + -95)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 6 = d. What is the highest common divisor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, w: 2, x: 2, v: 8, u: 4, p: 2}. Give prob of sequence pv.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 3 = m. Suppose m*w = w + 15. Suppose 5 = -z, -w*v + 232 = -v - 4*z. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (753\/9)\/((-4)\/3). Let k = 63 + l. Let w(n) = -n**3 - 3*n**2 + 4*n + 1. Let x be w(-4). Sort -4, k, x in descending order.\nAnswer: x, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k - 1. Let f(i) = -i - 2. What is -f(c) - 4*w(c)?\nAnswer: -3*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25808?\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c\/c**(-19))*c\/(c\/(c*c**(16\/3))))\/(c**(-5\/3)*c)**(-1\/16) assuming c is positive.\nAnswer: c**(-305\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3089337 is divided by 184.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 992.052g in micrograms?\nAnswer: 992052000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - (5 - 15 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -6 + 9 - (-6 + (7 - 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -9*g**2 - 4*g - 3. Let y be d(-1). Let h(x) = x**2 + 5*x + 6. Let c be h(y). Suppose -3*q = -219 + c. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 - 2. Let d be (-82)\/(s\/1*2). What is the second derivative of 41 - a - d - 4*a**2 wrt a?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 1650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the third derivative of t**6\/180 - 7*t**5\/135 + 17*t**4\/108 - 2*t**3\/9 + 8*t**2. Let h(w) = 0. Calculate w.\nAnswer: 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h**3\/11 + 310*h**2\/11 + 6800*h\/11 + 35000\/11 = 0 for h.\nAnswer: -10, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**1*v)**42)**32\/((v**(-1)\/v*v*v**(-2))\/(v**1*v)**(-19)) assuming v is positive.\nAnswer: v**2653","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -n**3 - 48*n**2 - 307*n + 175. Calculate y(-40).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1310, 1309, 1308, 1307, 1306?\n\"Answer: -k + 1311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 806.\nAnswer: 5\/806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes after 8:22 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 15.387 - 1072.787. Round w to the nearest ten.\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bppojpjoopooopjjooj. What is prob of picking 2 o?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m - 13 + 13 + m. Let y(t) be the second derivative of -t**3\/3 - 13*t**2\/2 + 5*t. Let s be y(-6). What is u(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 335, 832, 1829, 3332, 5347, 7880, 10937?\nAnswer: 14524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-6 - (-1056)\/(-56))*-7. Suppose 59*l = 30*l + x. Solve -4*z + 5 + l = -b, -z = 4*b - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the second derivative of 0 + 0*r**3 - 2*r**2 + 2*r - 1\/12*r**4. Differentiate t(f) wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -2, 1, -115, 3 in decreasing order.\nAnswer: 3, 1, -2, -5, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**3 - 44*j**2 - 484*j - 25. Determine n(-23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9703432 kilograms to tonnes.\nAnswer: 0.0009703432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:38 AM and 10:25 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 18 = -3*g. Suppose -29 - 6 = -5*p. Let f(k) = 0 + 3*k**2 - p + 2*k + 6. Let l(n) = -7*n**2 - 4*n + 2. What is g*f(o) - 4*l(o)?\nAnswer: o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -r**3\/5 + 27*r**2\/5 + 66*r\/5 - 232\/5.\nAnswer: -(r - 29)*(r - 2)*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 93 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*g + 33*g + 285 = 0. What is the closest to 0.4 in g, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10101 + -100010100101000?\nAnswer: -100010100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 56*7265\nAnswer: 406840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2322, -4203, -5208, -4899, -2838, 1413, 8292?\nAnswer: 18237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 423 - -765. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -1996*a + 24. Let p(d) = -2*d. Calculate g(p(y)).\nAnswer: 3992*y + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 - -702?\nAnswer: 6fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a be 53 - -3 - -3 - -4. Let u = a + -31. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*z + 16*z + 855. Let j = -163 - z. Calculate the least common multiple of j and 33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 19*j**2 - j - 13. Let s(f) = f + 11. Let d be s(-7). Is m(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/4*0*6\/(-156)*-13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -184*o**3 + 2*o**2 + 910 - 910 to d*o + b*o**3 + p*o**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 13*z + 3. Let b(f) = -2*f + 7. Suppose m - 4 + 17 = 0. Let y(j) = 5*j - 15. Let a(u) = m*b(u) - 6*y(u). What is 7*a(n) + 2*r(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in one sixth of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 40 + 91\/(30030\/(-3240)) + 2\/(-11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 4*d - 2. Let v(c) = c**3 + 4*c**2 + c - 3. Let k be v(-3). Let w = k + d. Solve -s = w*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-303149)\/1905)\/(-217))\/(11\/57).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 84\/2156 + (-6)\/33.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 42 + -13326665?\nAnswer: -13326623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -77\/13169 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = a**2 - 5*a - 12. Let f be u(7). Is ((-7)\/f)\/((-6)\/12) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -3*j**5\/5 - 909*j**4\/5 + 7587*j**3\/5 + 10092129*j**2\/5 + 20157876*j\/5 + 2014848 = 0.\nAnswer: -265, -132, -1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 + (-5 - (-9 + 12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 22*a. Let f(p) = -p. Determine -4*f(z) - w(z).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 62 + -61 + 0 + -2 + 3 + -1 + 43.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -3\/3119 and -59\/2.\nAnswer: 6238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 21*r**3 - r**2 + r - 18. Let l(p) = -p**3 - p - 1. Let s(q) = l(q) + t(q). What is the derivative of s(v) wrt v?\nAnswer: 60*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that 5*h**3 + 2049615*h**2 + 6148810*h + 4099200 = 0.\nAnswer: -409920, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 4*z. Let c(o) = -277331*o. Determine j(c(x)).\nAnswer: -1109324*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -40*v*z**2 - 262*v*z - 97*z**4 - 7*z wrt z?\nAnswer: -80*v - 1164*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 298 minutes before 2:29 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 + 11102210?\nAnswer: 11102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2456 a factor of 42071280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = -7 + 1. Suppose v + 9 = 3*r. Let s = 4 + r. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = -4*s + 5*x, 0 = 2*s + 2*x - 241 + 227 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g - 0*g - 4. Let j be (-3)\/(g\/2) + -1. Find the second derivative of -j*a - a**2 + a**2 + a + a**2 wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (18\/4)\/(10\/(-30)). Let u = 171\/10 + g. Suppose 2\/5*z**2 + 48\/5*z**4 + 0*z + u*z**3 + 0 + 32\/5*z**5 = 0. Calculate z.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -221 - -235. Solve 12 = g + p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-5)\/(-10) - (-3 - (-228)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10192 and 67704?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 81, 34, -95, -348, -767, -1394?\nAnswer: -2271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -2 times 150229\nAnswer: -300458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 9 + 7 = 0. Sort -1, 1\/2, k in ascending order.\nAnswer: -1, 1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + (-1 + (-3 - -6) - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 42\/(-245) - (495\/70 - 7)*6\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = 3*z - 62. Suppose -9*v + z + 96 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 14678*x**2. Let k(r) = r**2. Determine k(s(p)).\nAnswer: 215443684*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1091928 and 9.02?\nAnswer: 1091918.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 213*b**2 - 3*b + 8. Let r(z) = -107*z**2 + 2*z - 5. Give -5*r(x) - 3*s(x).\nAnswer: -104*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 59451959 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 10, 3\/19, -4, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d - 4*d + 25. Suppose -t - 4*t = -20, 5*v + d*t - 30 = 0. Solve 4 + v = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -10, 2*u - 55 - 38 = -i. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 5*d - 19 = -1, 3*d + 9 = 0. Is (5489\/(-55))\/(v\/(-5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -22*p**3 + 10*p**3 + 597*p**2 + 8*p**3 + 3*p**3 as r*p + b*p**2 + m*p**3 + l and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be 25\/(-40)*238\/85. Sort l, 3, 0.4, 55.\nAnswer: l, 0.4, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*w - 9*w**4 + 12*w**4 + 3*w**2 + 1 - 4*w**2 + 9*w**4 in the form l*w**4 + x + p*w**2 + f*w**3 + m*w and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u\/u**31*u)*u)\/(u\/((u\/(u**18\/u))\/u*u)) assuming u is positive.\nAnswer: u**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**(-28)*u)**(4\/7)*(u**(22\/5)\/u)\/(u*u**27*u))**(-41) assuming u is positive.\nAnswer: u**(58056\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 12359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -3 - 2 + 2*k**4 + 3*k + 3 in the form i*k**3 + o*k + u*k**2 + a*k**4 + p and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the second derivative of l**3\/6 + l**2 - l. Let s be q(-5). Let x be (-1 - 66\/s)*3. Calculate the highest common divisor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 + 6. Let b be 2 - (2 + 1 + -4). Solve u + j*f = -0*f + b, 2*f = 4*u + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -2, 0.4, 3\/5 in decreasing order.\nAnswer: 2, 3\/5, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 3*o = 3, -7*o + 10*o = 4*i. Solve u - 3*v - i = 3, 4*u - 4*v = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/75 + 3\/(-8) + (-3063)\/(-360)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c**3 + 4*c**2 - c + 1. Let h be l(2). Let v(g) = -295 - 4*g + g**3 + 3*g - 7*g**2 + 305. Determine v(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 41211 - 13922. What is the ten thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16528298 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -66, -243, -530, -927, -1434, -2051, -2778?\nAnswer: -3615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -l**3 - 4*l**2 - 3*l + 3. Let f be w(-3). Solve 7 = k - 3*r - 0, 0 = k + r - f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = 5*d + 46, 26*w + 2*d = 23*w. Solve -w*x = -2*f - 25 + 17, -x - 19 = 3*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.8*-132.\nAnswer: 237.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -2*r**3 - 2630*r**2 - 95974*r + 1376606 = 0. What is r?\nAnswer: -1277, -49, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mfcm when four letters picked without replacement from {f: 15, c: 3, m: 2}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 1, 4, 5, 34569 in increasing order.\nAnswer: -5, 1, 4, 5, 34569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63*h - 9344 = 55*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1663, 3407, 5153, 6901, 8651, 10403?\nAnswer: 12157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -112*b - 94*b - 325*b**2 + 159*b**2 + 168*b**2.\nAnswer: 2*b**2 - 206*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 71*c = 66*c + 2*h + 30, -25 = -5*c + 3*h for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 23147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 6bd28 (base 15) in base 16?\nAnswer: 53f1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15257941 is divided by 953610.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -76 - 12*q + 15*q + 17*q. Let g(z) = 4*z - 15. Let w(h) = -11*g(h) + 2*p(h). Does 16 divide w(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*m - 102557 = -8*m. Is 161 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 + (19 - 11) + (-4 - 13) - -7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -214 - -203. Put q, -1, -3\/2 in descending order.\nAnswer: -1, -3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 144 and 368824.\nAnswer: 6638832","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1557421211?\nAnswer: 1557421211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**9*p\/p**(-1))\/(p**(-1))**(-1\/7) assuming p is positive.\nAnswer: p**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = 3*r - 5, 5*k - r + 2 = 13. Let u be 17*2\/6 - (-2)\/(-3). Suppose 41 = u*s + 21. Solve -12 = -k*x - s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -294\/23 in -0.6, 19, -32, 0.2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -8? (a) 0.5 (b) 5 (c) -632\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in thirty-seven fifths of a millimeter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.2 - -0.0042166\nAnswer: -0.1957834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1057 + 1685. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 298 minutes after 4:31 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 28614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 300849639 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f + 7. Let i = -29 - -31. Suppose i*r + 0*r = 4*d + 12, 2*r - 3*d = 9. What is the remainder when 26 is divided by c(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, 0.3, 4\/5, -569819?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y**3 - 23*y**2 - 22*y - 33. Let b be m(24). Calculate the greatest common divisor of 6 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/5*(-5)\/2. Let v = d - 0. Let k = 0 + v. What is the biggest value in -0.5, k, -3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 613*k*t*x**2 - 3*k*x**2 + 28*k + 2*x**2 - x wrt t?\nAnswer: 613*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1 * -66076\nAnswer: -66076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 14673936 a multiple of 881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 - 3. Let r = 8 + v. Let p be 2 + (-5 - 69\/(-21)). Which is the closest to p? (a) -2 (b) -0.03 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 693 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 8417417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(52)\/sqrt(4)*-6 - sqrt(13) - (sqrt(117)*-4)\/sqrt(9))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 19 + 14 = -4*w, 2*w + 19 = 3*u. Let h be (9 + -11 - 14\/(-5))*-5. Sort h, -0.58, w in ascending order.\nAnswer: h, w, -0.58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/9*(198\/24 + -9)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 27*n + 4535. Does 20 divide z(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 + 7 - 2) + 12 + -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 307 a factor of 20904662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 851802361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((3*t - 6*t + 2*t)*(-2*t + 3*t + t) + t**2 - 8*t + 8*t)*(-2*t - 4*t + 4*t) to the form r*t**3 + d*t**2 + n*t + m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 28342 is divided by 7050.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 2, -0.02, 1\/8, 6231.\nAnswer: -0.1, -0.02, 1\/8, 2, 6231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1\/(-3)*(-40 - -19). Solve 11*r = j*r - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-982)\/(-57) - (-27)\/((-3078)\/(-12)) and (-1)\/((-3)\/(-31)*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 3*v - 1. Let l be h(1). Suppose 5*g - l*g - 30 = 0. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 652515 divided by 217505?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 203*g**2 - 24*g**2 - 3.\nAnswer: 179*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3, -26, -65, -126, -215, -338?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**3 - 79*q**2 + 622*q + 372. Calculate n(70).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 221 - -2320111?\nAnswer: 2320332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 = 15524*w - 15527*w. Solve 2 = -2*c + 2*m, w*c - 2*m = 11*c + 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -22 - -26. Suppose -12*d - 32 = -l*d. Is (-1)\/(d\/7520) + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 8\/801 and -13\/27.\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*y - 4 - 21. Suppose -3*k + 4 = 1. Differentiate -2 + y - q - k wrt q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -a**2 + 15*a - 14. Let z be q(14). Let v(p) = 2*p + 9. Let k(g) = g. Suppose 0 = -2*f - 2 - 4. Let x(l) = f*k(l) + v(l). What is x(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 177099543?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the first derivative of -n + 1\/3*n**3 + 4 - 3\/2*n**4 + 0*n**2. Determine j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 181170 is divided by 1208.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = 3*u + 12, 0 = -u - 2*f - 1. Sort 0.5, -4, u in decreasing order.\nAnswer: 0.5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 14 and 642?\nAnswer: 4494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/16146 and -5\/9936?\nAnswer: 129168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 644 minutes before 11:41 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 + -7 - 0 - (495 + -497)) + 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 145 + -136.3. Let w = -8.5 + b. Sort 0.3, w, 5, 0.5.\nAnswer: w, 0.3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*t**2 - 7*t**2 + 5*t + 0*t**2 - 16*t - 26*t.\nAnswer: -9*t**2 - 37*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = -54 + 143. Suppose 0 = -v + 3, 5*v + t = 3*k - 151. List the prime factors of k.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 36971 + -44550252.2.\nAnswer: -44513281.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.08 - 960643.1958833.\nAnswer: -960643.1158833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1.316337 meters in nanometers?\nAnswer: 1316337000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 2 h when three letters picked without replacement from {b: 9, l: 7, h: 3}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply -349 and -0.5.\nAnswer: 174.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2\/21, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**2 - 13*h + 19. Let s be u(-14). Let a be (2\/4)\/((-3)\/(-18)). Solve -q + a*y - 1 = 4, -4*y - s = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:22 PM and 7:09 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -75\/4, 4, 0, -1\/11, 8 in ascending order.\nAnswer: -75\/4, -1, -1\/11, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) -15 (b) -1\/10 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/6 and 71\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m\/(m*m**1))\/m)\/m)**(-15)*(m\/(m*m*m*m**5))\/(m**(2\/7)*m) assuming m is positive.\nAnswer: m**(257\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 127\/234 and 41\/156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**2 + 4*q + 3. Let z be (-16)\/12*(-9)\/3. Calculate the remainder when 5 is divided by p(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -3*d - 55. Let h = 66 - 86. Let q be v(h). Suppose 2*o + n = 6*o, -q*o = -2*n. Which is the closest to o? (a) 4 (b) -3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w**2 + 1. Suppose 7*m - 83 = -76. Let y(g) = 4*g**3 - 4*g**2 + 4. Determine m*y(r) - 4*u(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 27748050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(-1*sqrt(77) - sqrt(77)))\/(sqrt(896)\/sqrt(8))*2)**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*u - 4*l - 30, 1021 - 976 = -3*u - 9*l for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*a**2 - 91*a + 213*a + 22*a**2 - 89*a + 0*a**2 to k*a**2 + d + l*a and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 299*c + 2 - 154*c - 156*c - c**2 - 11. Let t be z(-7). Suppose 2*j = r - 4*r + 13, 0 = 3*j + 5*r - t. Solve -7*x = -3*x - j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 4459589439 - -0.7\nAnswer: 4459589439.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 13*m - 70. Let k be u(6). Sort k, 1\/33, 2 in decreasing order.\nAnswer: k, 2, 1\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 410215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2939680 (base 13) in base 15?\nAnswer: 123c054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7677536*i**2 + 4914233*i.\nAnswer: -15355072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**3 - 3*q**2 + 7*q + 3. Let g = -7 + 8. Let i(l) = 11*l**2 + l. Calculate the least common multiple of i(g) and k(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**3 + 17*i**2 - 3*i + 37. Let b(s) = s**2 - 33*s + 179. Let z be b(6). What is y(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 5*u. Let x(m) = -2*m - 4*m - 3*m - 2*m. Calculate x(q(p)).\nAnswer: -55*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2112232 (base 6) in base 4?\nAnswer: 121013330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:24 PM and 3:36 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 56 a factor of 1748320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 15 - 3. Does 9 divide (-4)\/l*3 + 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, p: 1, l: 1, y: 1, n: 2, z: 1}. What is prob of sequence nynp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19700 is divided by 323?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -24031189*k*z**3 + 83985774*z**3 wrt k?\nAnswer: -24031189*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6206334.\nAnswer: 2, 3, 41, 25229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -66280839*v**4 - 24616516 wrt v.\nAnswer: -265123356*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.64 - -0.24. What is the nearest to 0.4 in -2\/7, -1\/4, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/20 and 95\/5768.\nAnswer: 28840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 2, 417 in increasing order.\nAnswer: -5, 2, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/2 and -19\/10711?\nAnswer: 21422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/59250 and 91\/3000.\nAnswer: 237000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l**4\/9 + 2*l**3\/3 - 4*l**2\/9 = 0 for l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f**5\/9 - 490*f**4\/3 + 2*f**3\/3 + 4414*f**2\/9 + 980*f\/3 = 0. Calculate f.\nAnswer: -735, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20012002020110021 - 2?\nAnswer: -20012002020110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 d and 1 f when four letters picked without replacement from deyfedtfdeffffefded.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 410*w = 418*w. Suppose 3*j - 2*h - 2 - 1 = w, -4*j + 4 = 3*h. Put j, 4\/5, -3\/8 in increasing order.\nAnswer: -3\/8, 4\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-16)\/(-28))\/(190\/35)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10 + 14. Suppose 0 = h + 3*h - b. What is the units digit of h\/((-12)\/(-9) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 24 (base 5) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 2 = -k. Let h = -140718 + 140722. Solve -f - f + 3 = d, 0 = -h*f + 2*d - k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 44 and 1412?\nAnswer: 15532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3937577 and 49.\nAnswer: 27563039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.05 - -0.15. Let t be 9\/15*10\/(-4). Which is the smallest value? (a) t (b) n (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-6)*10\/(-120)*-4\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 129 and 16083?\nAnswer: 691569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -27086 + -3397?\nAnswer: -30483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 32369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 3*z + 15 = 0, 10 = 3*b - 2*z + 1. Let w be (1*(-5 + 1))\/((-30)\/60). Suppose w*p = b*p. Which is smaller: p or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**0\/u)**(6\/19)\/(u**(-5\/7)*u\/((u\/u**(-6\/11)*u*u)\/u)) assuming u is positive.\nAnswer: u**(2844\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -66 - 255. Let y = -195 - m. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -549457, -1099174, -1648889, -2198602, -2748313?\n\"Answer: z**2 - 549720*z + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -27, -42, -65, -96?\n\"Answer: -4*t**2 - 3*t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*y**2 + 3*y**2 + 0*y**2)*(-4 + 0 + 3) + y**2 + y**2 - 3*y**2 + 5*y**2 - 4*y**2 - 5*y**2)*(3*y**2 + 6*y**2 - 5*y**2) + 1451 + 67*y**4 - 1451.\nAnswer: 43*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 5*k, 0*j - 5*k + 516 = 2*j. Suppose 5*a = 4*i - j, 140 = i + 4*a + 48. What is the remainder when i is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -1 + (-8 - (4 + -7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1890 - -10.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0004041 to five dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {h: 8, v: 2, r: 3, k: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 3*m + 2*r - 5*r, -2*m + 12 = 5*r. What is the units digit of 9\/((-2)\/m*2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*c = -21*c - 3. Factor -4*s + 775*s**3 - 772*s**c + s.\nAnswer: 3*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1098732571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j**2 - j - 6. Let f be z(-3). Let n(i) = 8*i + f*i - 13*i. Let c(l) = 4*l. Determine c(n(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 9647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 - 6 = 2*k. Suppose -2*s = k*h - 2 + 5, -5*s = 20. Find the first derivative of -6 - h + 3 + 4*j wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 3*t - t = -19, -4*f - 2*t = -14. Let q = f + -3. Suppose -4*a = c + 8, -c + 2 = 5*a + 11. Sort q, a, 4 in descending order.\nAnswer: 4, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = p - 1. Let k(h) = 84558*h + 28. Let u(f) = -6*j(f) - k(f). Let b be u(9). Let s = 539098 + b. Round s to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**3 + 6*f**2 + 5*f + 2. Let c(k) = k**2 + 5*k + 2. Let i be (-2 + 0 + -1)\/1. Let z be c(i). What are the prime factors of b(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1132173.\nAnswer: 3, 7, 17971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 15.01 - 15. Let a = -1.99 - o. What is the nearest to -0.1 in 2, 2\/15, a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 + 8 + 1 + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 1 - 1)*(23*o - 44*o + 20*o)*(0*o + 0*o + o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w, 1 l, and 1 q when four letters picked without replacement from hqlmlwmwlwwlwww.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17538928?\nAnswer: 2, 11, 227, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 2*w**3\/3 + 278*w**2\/3 + 550*w\/3 + 274\/3 = 0.\nAnswer: -137, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rxrr when four letters picked without replacement from {x: 6, r: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 469 and 1139?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s = 5*g - 2, -7 = -2*s - 5*g - 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.7 + 1.68. What is the second smallest value in 0, f, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16 divided by 13.\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.3, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 2a5053a (base 12) in base 3?\nAnswer: 121010010121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1090 + 2224. Let d be (-3)\/(-7) + (-549)\/y. Let z be 2 + -1 + (1 - 1). Which is greater: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h - 4. Let n be j(-6). Suppose 2*b + 3*b = 20. Suppose 5*t = 3*t - b. Which is greater: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 3 = 4*i, 0*l + 20 = 5*i + 2*l. Let c(o) = o - 2. Let d be c(-2). Let t be 2\/d*10*-1. Sort 3, i, t in ascending order.\nAnswer: i, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -2*v**3 + 2*v**2 + v + 2. Let q be d(2). Let k(g) = g**2 - 4. Is k(q) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5\/2691 + -869173\/10764. Which is greater: y or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 32*x + 16 - 84*x**2 + 6 + 10. Let i(s) = -13*s**2 + 5*s + 5. Let t(b) = b**3 + 3*b**2 - 504*b + 32. Let g be t(21). What is g*i(p) - 5*y(p)?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 170567*z**3 - 104343*z**3 - 66227*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 298*u**2 - 2023*u - 8. What is t(7)?\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 20891661809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 314 and 114139.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -5*q + q - q + 21*q**2 + 5*q. Let b(k) = -k**2. Determine f(b(n)).\nAnswer: 21*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 17055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = 3*j, -3*m = j - 21. What is the units digit of ((-3)\/6)\/(m\/(-1834))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2005? (a) -4\/63 (b) 2 (c) -181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 42189 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((y**(-1\/4)*y*y)\/y)\/y)\/y)**21\/(y\/y**25*(y*y**(-3\/10))\/y) assuming y is positive.\nAnswer: y**(-39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = 9*w - 4. Let x be ((-386)\/6*w)\/(1\/(-3)). Let b be (-19)\/114 - x\/(-6). Calculate the greatest common divisor of b and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 276 and 156?\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l**2\/17 - 56222*l\/17 - 56224\/17.\nAnswer: 2*(l - 28112)*(l + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 8860*f. Let i(t) = t. What is i(j(g))?\nAnswer: 8860*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -117 + 245 - 41*n**3 - 128.\nAnswer: -41*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 23 and 51.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 57*w - 45*w - 82*w)*(3 + 2*w + 2 - 4) as i*w + f + u*w**2 and give u.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -0.49 less than 8569.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10 - 144\/(-14)) + 60\/(-14) + 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 65*l = 79*l + 140 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v + 1. Let s be r(-1). Suppose -2*k + 0*k = -s*i + 268, -i = k - 142. Is 30 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -160 - -1124\/7. What is the closest to -2\/5 in 3, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 times -0.281\nAnswer: 0.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 54349 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 + 5. Let t be h - (3 - 12\/2). Let u be 6*(2\/(-3) - t). Let i(p) = -p**2 - 4*p - 6. Calculate i(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 1, -5, -0.91, -1\/2, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the third derivative of -1\/8*k**6 + 0*k + 191*k**2 + 0*k**4 - 13\/6*k**3 + 0*k**5 + 0. Differentiate l(w) wrt w.\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 5, h: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8*1\/28*168\/(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 28 = -0*b + 4*b, 31 = 4*s - 3*b. Let q = s - 1. Suppose 2*u - 30 = -4*o, -3*u = q*o - 2*u - 22. What is the highest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = c - c + 24 + 4*c - 3*c. Calculate the remainder when g(-8) 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 5 + -36113?\nAnswer: -36108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -35 - 101730?\nAnswer: -101765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -2*f**3 - 3*f**2 - f - 2. Let t be s(-2). Let c be (-2)\/6 - 2\/(-6). Suppose -5*b - t*o + 30 = c, 4*b - 4*o - 58 = 2. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the second derivative of -7*v**6\/15 - v**4\/4 + 3*v**3 + 5*v - 5. What is the second derivative of f(y) wrt y?\nAnswer: -168*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 49679.55ms?\nAnswer: 0.013799875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-28 - -28)\/(-1 + (1 - -1)). Let y(w) = w**3 + w**2 + 9. What is y(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) -1\/2 (b) 3 (c) 0 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -80808 divided by 481.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the second derivative of 1\/40*f**5 - 1\/2*f**2 - 1\/6*f**4 - f + 0 + 5\/12*f**3. Factor k(q).\nAnswer: (q - 2)*(q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-8)\/(-3))\/((-6)\/(-9)). Suppose 5 = 3*k + 5*a, 0 = -5*k - 2*a + y*a + 29. Let d = 0.5 - -3.5. What is the second smallest value in d, k, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/(-1 + ((-80)\/(-28))\/4). Find the second derivative of l*w**4 + 49*w - 14*w**4 + 141*w**5 + 55*w wrt w.\nAnswer: 2820*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 40910.8830175 - 0.1.\nAnswer: 40910.7830175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2755950952 - 2755950527.0000173. Let p = 425 - o. Round p to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 763.9829 milligrams to kilograms.\nAnswer: 0.0007639829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 73136.38 kilometers in micrometers?\nAnswer: 73136380000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6188238 is divided by 52.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -10*t**2 - 91*t - 18. Let p(u) be the third derivative of u**5\/12 + 23*u**4\/12 + 4*u**3\/3 + 87*u**2. Let g(a) = 9*p(a) + 4*q(a). Factor g(x).\nAnswer: 5*x*(x + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 112 - 110 - 101 - (-18 + (4 - 1))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 26*i - 26. What is a(7)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 144*u**2*y**2 + u**2*y - 253*u*y wrt y.\nAnswer: 288*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 14 = 2*h, 0 = -8*h - c + 16 + 19. What is the fourth biggest value in -3, 14, h, 2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Round 0.0133431503 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1342\/(-55) + 2\/5. Let m = 96 - 1. Let a be m\/(-30) + (-4)\/k. Put 0, -4, a in descending order.\nAnswer: 0, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) be the third derivative of 0*n**4 - 1\/15*n**5 + 0 + 11*n**2 + 0*n + 0*n**3. Let j(k) be the second derivative of -k**4\/3 - k. Give i(j(t)).\nAnswer: -64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11544 + 11544.06019. Let m = -3092.06 + 3092. Let f = j + m. What is f rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.2 - -0.20061. Round w to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**2 + 11*d + 23. Let p be j(-7). Sort 5, 4, p.\nAnswer: p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 509 + 530 - 1039 - 257*l.\nAnswer: -257*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 35 - 34. Let h be ((-6)\/(-6))\/(t\/4). Suppose -2*s**3 + s**4 - h*s**4 + 5*s**4 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the third derivative of -b**6\/120 - b**5\/12 - b**4\/6 + 2*b**3\/3 + b**2. Let n be 2 - 1 - (5 + 1). Is 18 a factor of u(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3368384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -25? (a) -0.2 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**2 + 514*l + 3089. Let w be x(-6). Solve -w*m - 37 = -365 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 3*x = x - 15, -4*x = 3*l - 9. Sort -0.1, l, 2\/5, 1.6 in decreasing order.\nAnswer: l, 1.6, 2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 687 minutes before 11:52 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -886\/1573 - -3\/121. Let u be ((-16)\/(-24))\/((-2)\/3). Is h not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w**(1\/6)\/w*w*w)*w**(-1))\/((w**5\/w*w)\/((w**(-4)*w)\/w)) assuming w is positive.\nAnswer: w**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**2 - 2*j - 6. Suppose -p - 3*l - 1 = -0, -4*p = 4*l - 20. Suppose -z - 3 = -p. Determine u(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 66236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*q**3 - 102 + 64 + 325*q - 325*q + 38 + 2*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2587494680 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0 - -3) + -8 + (-106)\/(-22). Which is the second smallest value? (a) 24 (b) -1\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(833) - (sqrt(833) + -1))*3 + sqrt(833))**2 + -5 + -1 + 4*(0 + sqrt(833)).\nAnswer: 70*sqrt(17) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**3 + 10*g**2 - 10*g + 14. Let i be q(9). Factor 0*s - 2\/3*s**4 - 2\/3*s**i + 0 + 0*s**2 + 4\/3*s**3.\nAnswer: -2*s**3*(s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -92, -4 in decreasing order.\nAnswer: 3, -4, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 294016 divided by 73504.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1035 - -2075\/2. Sort w, -0.007, 4.\nAnswer: -0.007, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = 33 - 1. Let l be (-74)\/(-6) + b\/12. Let i = l - 4. Solve o + 2*o = i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 0, 0.05, 5, -3\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-3*-5*2*sqrt(152))\/(-6*(1*sqrt(32))\/sqrt(4)*-6).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1023 + -301?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3530)\/(-2118)*(-534)\/(-10).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w - 20. Let p(x) = x - 16. Let y(h) = -4*o(h) + 5*p(h). Let z(m) = 7*m - 2. What is 5*y(k) - z(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 29 = 2. Suppose -u = -b + 4. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x\/(x*x**(-10\/9))*x**(9\/4))\/(x\/(x\/x**(-25)))**37 assuming x is positive.\nAnswer: x**(33457\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 225 and 855?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 41*l**2*x**3 + 6*l**2*x**2 + 3*l**2*x + 4419023*x**3 + 79998*x**2 + 2*x + 6 wrt x?\nAnswer: 246*l**2 + 26514138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 37660656 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -733 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 8*n = -60. Suppose 5*f + n = v, -5*v = -0*f - 5*f - 30. Suppose -2*y = -v*j - 1818, 3*j - 3417 = -3*y - 648. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + (-2 + sqrt(3) + (-3*sqrt(3) - sqrt(3)))*6)**2 + ((sqrt(165)\/sqrt(44))\/(-2*sqrt(20)))**2)*4.\nAnswer: 2304*sqrt(3) + 78595\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 4*g**3 - 2*g**4 + 1 - 29*g**2 - 8*g**2 - 59*g - 16*g**2 + 58*g as v + d*g**2 + q*g + i*g**3 + x*g**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -21474, -42902, -64330, -85758?\nAnswer: -107186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 705 minutes before 2:24 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -78, -852.\nAnswer: -852, -78, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5518, -10946, -16380, -21814, -27242?\nAnswer: -32658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11983 is divided by 2884.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 35*q**2*v**3 + 3*q**2*v**2 + 124*q**2*v - 380*q**2 + 747439*q*v**3 + v**2 wrt v?\nAnswer: 210*q**2 + 4484634*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-63)\/(-6)*24\/14. Suppose 23*d - g*d + 7000 = 0. What is d rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r - 0*r - 15. Suppose -r*h = -0*h + 20. Does h = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 43*a**2 - 1985*a - 1524. Give b(47).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 43607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -bcce50 (base 16) in base 9?\nAnswer: -25248326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -761 or -765?\nAnswer: -761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y + 4. Let n be v(0). Let c be ((-3)\/n)\/(1\/4). List the prime factors of (3 - 5 - c) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 236 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 163\/268 + -24\/67. Which is the nearest to 1\/8? (a) -0.8 (b) 4 (c) -3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.316 + -0.054. Let o = m + -0.03. What is the third biggest value in -5, 3, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y - 70*y + 67 = -469 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 24\/5 - 283\/60. Let f(g) be the third derivative of 0 - 1\/60*g**5 + 0*g**3 - 4*g**2 + 0*g - a*g**4. Let f(q) = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 73 and -91369099.\nAnswer: -91369026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10.4*118799.\nAnswer: 1235509.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**2 - 1. Let r be f(-2). Let n(i) = r - 11*i - 3 - 4*i**2. Let s(j) = j**2 + 3*j. Give -6*n(h) - 22*s(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor j**2\/3 - 32*j - 2596\/3.\nAnswer: (j - 118)*(j + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 66\/35 - 16\/7. Suppose -j + 280 = 5*h, 0*h - 3*j - 112 = -2*h. Let n be (-6)\/8 + 26\/h. Is i smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-25)\/250*-4)\/((-1)\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2669398810 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 547079 and 2457?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is (2 - (-1111 - 1))*16\/32 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - (-3 - (-5 + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a day in minutes?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6803527 - -9849677. Let s = 3046160.200568 - m. Let i = -10.2 + s. What is i rounded to 5 decimal places?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-11 - 221\/(-13)) + -1. Let l(j) = -3*j**2 + 0*j**3 + j**3 + 6 - j**2 - 4*j. What is l(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6803220*i**2 - 4*i + 6611830 wrt i.\nAnswer: 13606440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2266722097 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b - 22*g - 2 = -18*g, -18 = -3*b + g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 3*h - 140 = 0. Let a be 0 + 2 + -2 - -2. Let v be 13\/a + 3\/6. What is the greatest common divisor of v and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(108) + 0 - sqrt(108))**2*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -159*h**3 - 2*h - 95*h**3 + 146*h**3 + 13 - 258*h**3.\nAnswer: -366*h**3 - 2*h + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 20*j**3\/3 - 1495*j**2\/3 + 1790*j - 1065.\nAnswer: 5*(j - 71)*(j - 3)*(4*j - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -18867, -18838, -18791, -18726, -18643, -18542, -18423?\n\"Answer: 9*w**2 + 2*w - 18878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-286)\/(-396) + 4\/(-18).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 30 - 31 - 5 - 10*p. Let y(h) = -8*h - 5. Let t(j) = 5*k(j) - 6*y(j). Let z(w) be the second derivative of -w**3\/2 - w. Give z(t(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 11*l - 148. Let c be j(14). What is the third derivative of -2*m**6 - 34*m**2 - 36*m**2 - 78*m**c wrt m?\nAnswer: -9600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1471.\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2, 16, 36, 58?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4.33 - -4.2. Let z = -781.67004 + 781.8. Let t = z + w. Round t to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -23 or 6979?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*l + 27*l = 52. Which is the nearest to 2\/49? (a) 5\/4 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 = 5*n - 0*x - 5*x, 3*x + 19 = 2*n. Suppose 3 = n*w - 8. Solve 0 = g - 4*z + z + w, 3*z + 7 = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((1093 - 1105)*1\/(-6))\/(105\/33 - 3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1800944 - 8050974. Let z = n - -6250030.08000018. Let p = -0.08 + z. What is p rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 37*b + 520. Determine g(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 160.6 - 187.\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -i**4*j - 7*i**4*o - 3*i**3*j**2*o + i**2 + 8*j**2*o wrt i?\nAnswer: -24*i*j - 168*i*o - 18*j**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 9*g**5 - 5*g**4 - 8*g**3 + 5*g**2 + 4*g. Let l(q) = 5*q**5 - 3*q**4 - 4*q**3 + 3*q**2 + 2*q. Let x(n) = -3*j(n) + 5*l(n). Find a such that x(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 5678*x**3 + 5*x**2 - 18*x + 10. Is u(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -41\/2 + 20. Which is the third biggest value? (a) -5 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the first derivative of -2*y**5\/25 - y**4\/10 + 34*y**3\/15 - 3*y**2 - 20. Solve w(p) = 0.\nAnswer: -5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 2*u + 3)*(0*u + 4*u - 3*u) - 3*u**2 + 2*u**2 + 0*u**2)*(4*u**3 + 3*u**3 - 6*u**3).\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1940 + 194*w - 877 + 327.\nAnswer: 194*w - 2490","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10705.\nAnswer: 5, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*-1*(-280)\/8*42\/(-98).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/3 of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1.50859 plus 0.022?\nAnswer: 1.53059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j - 64 = 4*h, 0 = 1289*j - 1290*j + 4*h - 8 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-five halves of a microsecond in nanoseconds?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0306639 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 72.98533 - 73. What is k rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 13728*q**2 - 3*q. What is the ten thousands digit of x(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2143442 - -31?\nAnswer: -2143411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 - 1 - (-2)\/(-11). Let i = 49 + -49.036. Let u = 1.036 + i. Which is the nearest to 1? (a) u (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 121\/((1*2\/(-8))\/(82\/45920*140))?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10 - -10.149. Let t = 0.051 + q. Let d be 7*(4 - 0 - 3). Which is the nearest to t? (a) 3 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*r + 8*r = -2376. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1754a84 (base 11) to base 2.\nAnswer: 1011010111001110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -19 (b) -1\/7 (c) -0.4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 25623.313 less than 97?\nAnswer: -25526.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -15 (base 7) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 24? (a) -3\/4 (b) 4 (c) -5\/2 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1, 44, 87, 130, 173, 216?\n\"Answer: 43*p - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is x in x**4\/5 + 187*x**3\/5 + 1691*x**2 - 5415*x = 0?\nAnswer: -95, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 3 = 0, -4*r = -0*j - 2*j - 62. Let h be ((-12)\/15)\/((-18)\/r). Let m = 23 + -28. Which is the second smallest value? (a) m (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 473 minutes before 4:46 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1640 - -1090. Calculate the remainder when f is divided by 74.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 - 1. Let j = 2 - z. Suppose -j*c + 0*u = -u - 31, 59 = 5*c + 2*u. What is the smallest common multiple of c and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 262*x**4 + 7*x**2 - 5?\nAnswer: 6288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 4201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 9577.143g to tonnes.\nAnswer: 0.009577143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 5*f + 3*a = 6, 4*a = 4*f - 12. Calculate the remainder when 10 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -886116 = 4*q + 1993884. Round q to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the second derivative of 4*q**6\/5 - 17*q**2 - 5*q + 8. What is the derivative of c(h) wrt h?\nAnswer: 96*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1834 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*z**3 + 7 + 1 + 2 - 8 to r*z**3 + t*z + w + u*z**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -12705*b + 14255*b - 15500 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0009792784 to 5 decimal places.\nAnswer: -0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13.8*-0.4.\nAnswer: -5.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*c**3 - 2224*c**2 + 6644*c - 4424.\nAnswer: 4*(c - 553)*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + (13 - 16) + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(1 + -4*(3 + ((-1 + sqrt(468) + sqrt(468))*4 - sqrt(468))))**2 + -5.\nAnswer: -5040*sqrt(13) + 1100806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -179\/75582 and 179\/91494.\nAnswer: 1738386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 361776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + -5*(-210)\/275.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 157920 and 2960.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -11201110200102 (base 3) to base 11.\nAnswer: -1464047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 53 a factor of 103914779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 2*x - 2 = 4*x, 2*f + 3*x + 7 = 0. What is the fourth smallest value in 4, f, -2\/7, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**2. Let u(r) = -4*r**2 - 7*r. Give -5*m(d) - u(d).\nAnswer: -d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-29)\/((-58)\/(-20))*48\/80\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3345125 + -3?\nAnswer: -3345130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*o + 3*o + 4*o)*((-3 + 3 - 2*o)*(3 - 5 + 3) - 42*o + 9*o - 37*o).\nAnswer: -216*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 237.00226 + -237. Round y to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -4, 3285, 4 in increasing order.\nAnswer: -4, 4, 5, 3285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes before 5:13 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2109806 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gjkpnkvn. Give prob of sequence vj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*d + 2*r - 10, -r + 1 = d - 0*r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 216 by -3.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-5)\/s**(4\/7)*s**(5\/2)\/((s**(-3)*s)\/s))\/(s\/(s*s\/s**(-4\/7))*s\/(s\/s**3)*(s\/((((s*s*s**8*s)\/s)\/s)\/s))\/s*s**(-7)) assuming s is positive.\nAnswer: s**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -2*h**2 - 3*h + 4. Let j be m(-3). Let o = 24 - 20. What is the biggest value in j, o, -1\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q + 6. Let w be u(7). Let z(v) = v + 7. Let p be z(-5). What is the units digit of w + 17 + (-1 - p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/3432 and -31\/2838.\nAnswer: 147576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 39487, 157962, 355425, 631876?\n\"Answer: 39494*w**2 - 7*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -77*(-3043)\/55132*(-84)\/3.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -234*t**4 + 3876*t**3 + 16864*t**2 + 9916*t + 1578 = 0. Calculate t.\nAnswer: -3, -1\/3, 263\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 786932 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -10.8532 rounded to 1 decimal place?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 3*u, -23 = 3*o + 4*u - 27. Suppose 4*g + 23 + o = 3*i, -5*i + 4*g = -37. Solve 3*j - 2 = 4*a - 3, i*a - 20 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2296790 * 0.29.\nAnswer: 666069.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18610299.\nAnswer: 3, 2067811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 5492*c - 60414. Calculate j(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6495 and 1345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that w**2\/2 + 6896*w = 0.\nAnswer: -13792, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4546810 and 54081?\nAnswer: 122763870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve b - 4 = -5*g - 18, -5*b = -3*g - 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 8 = 2*p. Suppose -2*k - k + 5 = 4*q, -p*q = -4*k - 12. Which is the nearest to -0.1? (a) -5 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -44.362 + 1.982. Let u = h - -56.2. What is u rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 1893 = -6*y. Let u = 634 + y. Solve 5*c - 2*a - u = -0, a = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {u: 1, s: 2, y: 1, q: 1, o: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1081 + -539. What are the prime factors of t?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 - -108?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 3, r: 11}. What is prob of picking 3 o?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**0)**(-30)*(i**15)**(-25) assuming i is positive.\nAnswer: i**(-375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y - 55*c = -54*c, 0 = -3*y + 3*c - 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 27*a**2\/2 - 87285*a\/2 + 2307954.\nAnswer: 3*(a - 3179)*(9*a - 484)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -20 + 25. Calculate the remainder when 17 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -73446850, -73446848, -73446844, -73446838, -73446830, -73446820, -73446808?\nAnswer: -73446794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.75 - -0.25. Let d = 0.99896 - i. Round d to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -61 + -739579 + (-40)\/2. Round r to the nearest ten thousand.\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-176)\/(-300) - 22\/(-275).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-11400)\/3900*(-39)\/6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = s - 5. Let d = -6 + s. Suppose -4*k = -5*j - 528, -5*j + 295 = 5*k - 365. What is the greatest common divisor of k and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4954 = 26*z - 376. List the prime factors of z.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 2958*r - 8866*r + 2964*r + 2957*r - 2*r**2 + 1. Give a(10).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.03548 (b) 0.03 (c) -6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 15135694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*((sqrt(30) - (sqrt(30)*4 + sqrt(30)))*-5)\/(sqrt(1000)*3)*1)**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 978, 1959, 2940, 3921, 4902?\n\"Answer: 981*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 2*d**2 + 325*d - 1782. What is s(6)?\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3\/5, 2, -4, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 5923263 divided by 63691?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*r - 3*r - 16 = 0. Suppose 11 = o - 5*w - 0, -4*w = 4*o + r. Solve p + 5*v = 4 + 1, 2*p + v = o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 153634, 153638, 153642, 153646, 153650?\nAnswer: 153654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -2*b + 3*d, 0*d - 2*d = -2*b + 2. Let o be 1\/b + (55\/4 - 3). Suppose 2*q + o - 1 = 0. What is the closest to -2\/9 in -3\/4, 0.5, q?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 4*k + 12 = 0, -4*i - 6*k + 4*k = -12. What is the derivative of -32*h**2 + 52 - 42*h**2 - 32*h**i wrt h?\nAnswer: -212*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 20\/64*(-56 + 60)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.04? (a) 3.1 (b) -29 (c) 0.1 (d) 6247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -25.76 - -36.16. Are 0 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5065 + 5065 + r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 882 divide 948150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1 + -13 - (163 + -172)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -39da (base 14) to base 13\nAnswer: -4839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = z**3 + 28*z**2 + 96*z - 6. What is q(-25)?\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((-5*sqrt(539))**2 + -1 + (sqrt(121)\/sqrt(11) + sqrt(11))**2).\nAnswer: -40554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 134254108 to the nearest one hundred thousand.\nAnswer: 134300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) 44 (b) -0.08 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 2, g: 2, r: 3, w: 9}. Give prob of sequence rrwr.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11210595, 11210602, 11210609, 11210616, 11210623?\nAnswer: 11210630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1464*d + 1462*d + 24570 = 0. Is d a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 5*s + 5*w, -2*s = -3*w - 0*w + 12. Suppose -6*y + 3 - 15 = s. Let d be y + -1 - (-40)\/12. Sort 1, -0.11, d.\nAnswer: -0.11, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = 2 - 3. Let i(j) = -j**2 - 4 - 7*j - u + 1. List the prime factors of i(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-25*o**2 - 11*o - 34*o**2 + 57*o**2)*(167 - 89 - 109) in the form a*o + w + n*o**2 and give n.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*t**3 - 60*t**2 + 72648*t + 72704.\nAnswer: -4*(t - 128)*(t + 1)*(t + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -30599170*i**3 + 2*i**2 + 2*i - 2472538 wrt i?\nAnswer: -183595020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3 - -4. Suppose -2*l = -o*l. Suppose l*q = 5*q - 5. Let z(a) = -4*a**3 + a**2 - a + 1. What is z(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-5 + -4*6*(sqrt(612) + 0) + (-1 + sqrt(612)*-2)*6)**2 + 3.\nAnswer: -793270 - 4752*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**3\/6 + 18*w**2 + 223*w\/6 - 55.\nAnswer: -(w - 110)*(w - 1)*(w + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-15600)\/70)\/26*(-147)\/(-168).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.9 (b) 5 (c) -51 (d) 0.72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**1\/h)\/h**(-6)*((h*(h\/(h\/h**(-3)))\/h)\/h)**(1\/6))**48 assuming h is positive.\nAnswer: h**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4*((-76)\/8)\/(-19)*23\/1725?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*m**3 + 3*m**3 - 9*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 11676 and 2815584?\nAnswer: 19709088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 1155*m**2 + 370 - 732 + 362 + 4*m as l*m + d + p*m**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 56506 - 19*l**2 - 56506.\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g**3 + 2*g**2\/3 = 0. Calculate g.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 219876*m**2 - 216689*m**2 + 771430*m**2.\nAnswer: 774617*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z\/(z**(3\/4)*z*z)*z)\/z)\/z*z*z**(23\/3) assuming z is positive.\nAnswer: z**(83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-10)\/(-4) - 3)*-1. Let o = 3 + -3.2. Which is the second biggest value? (a) 4\/5 (b) o (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -24, -28, -34, -42, -52, -64?\n\"Answer: -o**2 - o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/17? (a) 3 (b) 2 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -10*v**2 - 3*v + 3. Let z be p(2). Let y = -26 - z. Suppose -4*c + f + 195 = -0*c, -3*c - 2*f = -138. Calculate the remainder when c is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1963.09 rounded to 0 dps?\nAnswer: 1963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 41 a factor of (12\/(-7))\/(7\/(1470\/(-5)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.2 times -157274.91\nAnswer: 31454.982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - -5) + (5 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, o: 1, c: 4, k: 7}. Give prob of sequence kk.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -5*l + 36, 4*i - 12 = -l - 3*l. What is the remainder when 9 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, b: 3, x: 4}. Give prob of sequence bx.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -298 * -0.3.\nAnswer: 89.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 622 and 16274319.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 617 is divided by 244.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00005086 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**3 - 9*v**2 + 22*v + 3. Let j be d(-11). Let p(b) = -2*b**2 + 3*b + 4. Give p(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 94 - 104 = -2*b. Solve 4*d = b*o - 21, -d + 4*d + 5*o = 28 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -5*k + 5*m, -4*k - 5*m = -6*k + 19. Sort k, 8, -1 in descending order.\nAnswer: 8, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(63)\/(2*sqrt(9)) - sqrt(35)\/(sqrt(5)*5).\nAnswer: 3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 999*a - 49. Is r(32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -0*p + 4*p - 3*w, -5*p - 2*w + 28 = 0. What is the smallest common multiple of 93 and p?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((240\/14)\/(-2))\/((-5894)\/(-61887))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3973389061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 13021 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -960 by -12.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**3 + 244*g**2 - 1057*g - 16105. Calculate q(-248).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 903223213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (-d + 11*d + 2 + 4*d)*(-2*d + 3*d + d) + d - d - 2*d**2 + (3*d + 0*d - 5*d)*(4*d + d - 3*d) as o*d**2 + g + s*d and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, m: 1, e: 2, i: 3, q: 3, t: 1}. Give prob of sequence it.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.76 less than -604076953007?\nAnswer: -604076953007.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28499 = 5*j + 753*y - 757*y, 4*y = 4*j - 22804. What are the prime factors of j?\nAnswer: 5, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1387898107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -55612 rounded to the nearest 1000?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be (12 - 10)\/((-1)\/(-2)). Suppose -3*f + 56 = 2*u, -3*u + h*f = -107 - 11. Solve -3*m = -5*r - u, 5*m + 0*r + 5 = -4*r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-15)\/20)\/(4\/(-2496)). Suppose -2*n + 5*c + 465 = 0, -2*n + 2*c = -2*c - k. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 2 = 2*f - f, f + 2*m - 2 = 0. Let v(y) be the first derivative of 1\/2*y**4 - 1\/6*y**6 - 1\/2*y**f + 2\/3*y**3 - y - 3 - 1\/5*y**5. Factor v(n).\nAnswer: -(n - 1)**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.023315351 to 4 dps.\nAnswer: 0.0233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -2027 by 1406.\nAnswer: -2027\/1406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 290761 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -b4 (base 12) in base 16?\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -5*k**2 + 126*k - 10. Let b be l(25). Solve 19*p - b*p = -20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1108253 is divided by 184617.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 10*a**2*j**3 + 2411*a**2*j**2 + 2212*j**5 + 11*j**2 wrt j?\nAnswer: 60*a**2 + 132720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the second derivative of 5*l**4\/6 + 23*l**3\/2 - 2095*l**2\/2 - 3345*l. Differentiate w(t) with respect to t.\nAnswer: 20*t + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41*h**3 + 6*h**3 - 41*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-3))\/(((-10)\/20)\/(27\/(-234)*-507)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Do -1 and 589\/414667 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -16*t**2*y**3 - t**2*y**2 - t**2 - 8845*t*y**3 + 51*t*y**2 - 757*y**3 + 709279 wrt y.\nAnswer: -96*t**2 - 53070*t - 4542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-11)\/3)\/(4\/2 - ((-651)\/126 + 7))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -24*-0.4\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(3) + sqrt(30)\/(sqrt(20)\/sqrt(2)))**2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 940782.\nAnswer: 2, 3, 156797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1332*t**2*u**3 + 2*t**2*u + t*u**6 - 211*t*u**2 wrt u.\nAnswer: 7992*t**2 + 120*t*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h + 2. Let u(c) = -6*c + 5. Determine -10*i(z) + 2*u(z).\nAnswer: -2*z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -17 by 27094285.\nAnswer: -17\/27094285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1061 - 940. What is the highest common divisor of g and 484?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 433072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bbbbbbbbbbbbebb. Give prob of sequence ebb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1800*p**4 - 10*p**3*v - 129*p**3 - p**2*v - 9*p**2 + 32*p*v - 2*p - 120*v - 12 wrt p.\nAnswer: 43200*p - 60*v - 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 350367 at most as big as 350415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 226 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -175, -3\/4, 10070 in descending order.\nAnswer: 10070, -3\/4, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does -350 = -343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-205)\/(-35) - (-60)\/(-10))\/(-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 24*s - 25*s. Let k(f) be the first derivative of -1\/6*f**6 - 2 + 0*f - 1\/3*f**3 + 0*f**2 + s*f**4 + 0*f**5. Find the third derivative of k(l) wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12 + 12 + 50*l)*(2 + 6 + 3).\nAnswer: 550*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -2*p**2 - 28*p - 33. Calculate u(-20).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 5*u + f, -6*u - 3*f - 28 = -2*u. Let c = 9 + u. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 1683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let -2*z**2 - 298*z - 588 = 0. Calculate z.\nAnswer: -147, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 11*c - 103. Let d(s) = -23*s + 234. Let m(y) = 4*d(y) + 9*u(y). Let f(p) = 21*p + 26. What is -6*f(b) + 17*m(b)?\nAnswer: -7*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-2) + (-1176)\/735?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:59 PM and 2:21 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 71.35066 kilograms in tonnes?\nAnswer: 0.07135066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 134252 - 67129 + 222*c - 111*c - 67123 - 114*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -6040916 by -49.\nAnswer: 123284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 20 and 28535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(0 + sqrt(252) + -1 + (sqrt(252) - sqrt(252)*1)**2) - ((-2*sqrt(252)*-5)**2 + (sqrt(252) - (-4*(sqrt(252) + -1))**2))*1.\nAnswer: -21146 - 234*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -5 (b) -196\/3 (c) -2 (d) -0.0006 (e) -2\/7 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h - 3*v = -145, 3889*h - 3917*h - 3*v + 122 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4 + -1. Let o(z) = 2*z + z + 2*z - i*z. Let j(t) = 5*t**2. What is j(o(r))?\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 + 2*k**2)*(-25*k**2 - 5 + 21*k**2 - 9 + 143) to the form y*k + a*k**4 + b + h*k**3 + w*k**2 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 45013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 21 = 4*d, -2*d = c - 1 + 4. Suppose -i = -c*i + 260. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 53007 or 53004?\nAnswer: 53007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 63 + -69. List the prime factors of (((-33)\/22)\/(w\/908))\/1.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from {y: 1, o: 1, b: 4, s: 2, z: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 10 = 0, -4*t + 3*d + 14 = -3. Solve -t = 5*o - 3*o, o = 4*g - 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Which is the nearest to 3? (a) 1\/3 (b) -48 (c) 0.1 (d) 13\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -40 + 18879\/248 - (-2)\/(-16).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-12)\/(-240)*-4 - 8\/10. Let x = -4.7 - -4.5. Let n = 4 + 6. Which is the fourth smallest value? (a) r (b) x (c) 1\/4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 5*o - 1. Let g be a(1). Let r(n) = -n + 0 + 2 - 1 + 4. Let w be r(6). What is the closest to w in -1\/2, 3, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x - 36 = 4*r, -24937*x - 5 = -24940*x + 5*r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (q + 3*q + 5*q)*(3 - 6 + 2)*(-2*q + 26*q - 4*q).\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 27 + -25. List the prime factors of n + 27 + 0\/(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 0*r - 5*n + 142 = 0, r - 2*n = -71. Is r smaller than -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand k - 1 + 1 + (-5 + 2 + 1)*(3*k - 4*k + 2*k) - 2*k + 0*k + 0*k - 21*k - 12*k + 40*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 18*i + 1888. Calculate c(-107).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 1283*p**2 - 3129*p**2 + 1395*p**2 in the form g*p**2 + l*p + i and give g.\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 23462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3\/7, -0.3, -4\/5, 194229, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 15 = 4*l - 1, -l = 1. Let k = -5 - i. Which is smaller: 14\/23 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1449 and 878.\nAnswer: 1272222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**2 + 3*x - 4. Let k(y) = -11*y**2 - 9*y - 30. Let q(n) = -5*n**2 - 5*n - 15. Let p(s) = -4*k(s) + 9*q(s). Let d be p(-6). Is o(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - ((4 - 3) + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -l**3 + l**2 - 2*l + 11. What are the prime factors of s(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = -6*v - 4*z + 698, -z = 2*v - 278. Let s = -72 + v. What is the greatest common divisor of 528 and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o + 10*r = 24, -149 = -o - 3*r - 141 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0004381097 rounded to 6 dps?\nAnswer: -0.000438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/((-24)\/6))\/(6\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1 - -32)*(-42)\/(-16). Let t = -81 + u. Put 3, t, 5 in descending order.\nAnswer: 5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 273 - 171 = 17*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1 - (-2)\/(-1) - -4. Let w be (b\/8)\/(3\/(-12)). Let a = -0.0771 - 1.9229. Sort w, a, -1\/2 in decreasing order.\nAnswer: -1\/2, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72537 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 77*i - 75. Suppose -v + 2*o - 28 = -4*v, 2*o - 44 = -5*v. Is t(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -2*p**3 - p**2 + 3*p - 1. Let b be k(1). Let d(c) = 60*c**2 + 3*c + 2. What is the units digit of d(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2118189784 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -20, -9, 5, -1 in ascending order.\nAnswer: -20, -9, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jyymmymmymjmm. What is prob of sequence jm?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-9)\/12 - (1 + 22\/(-8)). Solve 0 = -o + 5 - k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 100239961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b = 6*z - 8*z - 8, b + 9 = -5*z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33 = 3*w + 54 - 27. Solve -4*x - 7 = -3*k, 32*k - w*x - 20 = 36*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve z - 7 = 3*i, -10 = -z - 2*z - 2*i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*n - 13 - 8. Let z be n*2\/(-3)*2. Factor -8 - 2*o**2 - 15*o**2 + z*o**3 + o**2 + 20*o.\nAnswer: 4*(o - 2)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 155 minutes after 1:05 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjp when three letters picked without replacement from pppjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + ((4*sqrt(13)*-1 - (3 + sqrt(13) + 1)) + -4 - (2*1*sqrt(143) - sqrt(143))\/(sqrt(99) + (sqrt(99) - sqrt(99)*-1))))**2.\nAnswer: 368*sqrt(13)\/3 + 39172\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 87\/(-2 - -10 - 5). Solve 12 = 2*z + 2*x, -4*z - 2*x = -f + 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(2*(sqrt(121) - (sqrt(121) + -1*sqrt(121))) - sqrt(121))\/(6*sqrt(11)*-3 + sqrt(11)).\nAnswer: 6*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(128) + 5 - ((3 + sqrt(128) + 0)**2 - sqrt(128)))*6.\nAnswer: -792 - 384*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -4, -16, -1 in descending order.\nAnswer: 5, -1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2458 - -12288\/5. Which is the nearest to k? (a) 0 (b) 14 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*l + 24 = 12*l + 4*z, -l - 4*z + 27 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 9854\/(-71430) - (-222)\/1665 and -13\/11.\nAnswer: 26191","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -32 - -24. Let m be a\/70*(-45)\/18. Factor 2\/7*d**2 + m*d + 0.\nAnswer: 2*d*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 109640649 to the power of 1\/2, to the nearest integer?\nAnswer: 10471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (20 + 177 + 18)*(4 - 3*f - 2*f - 3) - 1 + 1 - f + (1 - 2 + 2)*(-3*f - 3*f + 4*f) to the form p + m*f and give p.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -17379, -34763, -52147?\n\"Answer: -17384*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5195.\nAnswer: 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 929\/20 + -267\/10. Calculate the common denominator of g and 31\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**3\/8 + 541*j**2\/8 + 986181*j - 1265318694.\nAnswer: -(j - 1812)**2*(j + 3083)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 504.77l to millilitres.\nAnswer: 504770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 384446*q*x**3 - 1301331*q + 2 wrt x?\nAnswer: 1153338*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*g*v**2 + 2*g*v - 129*g + 5*v**2 + 291 with respect to g.\nAnswer: -4*v**2 + 2*v - 129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 241354.053 milliseconds to days.\nAnswer: 0.0027934496875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-1)\/((-4)\/8) - 3)*0. Let c be 779 + (g - (2 + 2)). Suppose -a = 4*i - 0*i - c, 405 = 2*i - 3*a. List the prime factors of i.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from lqqqqqqqqqqqqqqqqqqq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-50)\/18 + (-24)\/(-8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 15 + 4 + 0 - 2 - 2*p. Let o be q(3). Solve 5*y = -3*l + 35, -2*l + o = 2*y - 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5675 and 1175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -151041 + 273140. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 23258 = g, 2*g - 9 = -5. Let h = -3332 - b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -226, -233, -242, -253, -266?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -140 = -3*f + 31. List the prime factors of f.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 30276\/145 - (0 - (-4)\/5). Calculate the greatest common divisor of 32 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -865*f - 1282*f + 459*f - 191516 = 1614*f for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q**2 + 10*q - 11. Let n be d(7). Suppose 0 = n*c - 9*c - 285. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g + 3*u = -710 + 697, -5*g - 4*u - 43 = 0 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -2*i. Let r(y) = -y. Let c(s) = -s**3 + s**2 + s + 4. Let a be c(0). Let l(q) = a*o(q) - 9*r(q). Let n be l(-2). Is -3 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h**3 - 3 + 3)*(-h**2 + 0*h**2 + 0*h**2) + (11*h**5 + h**5 + 3*h**5)*(-1 - 1 + 1).\nAnswer: -13*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 11*t**2 - 5*t - 5. Let m(h) = 28*h**2 - 12*h - 12. Calculate 5*m(v) - 12*q(v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: d2a9 (base 14) to base 10\nAnswer: 36213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 9, 34, 194, 0.2 in descending order.\nAnswer: 194, 34, 9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1769947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -20*((-2)\/(-8))\/(75\/40)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -9*f. Let w(p) = -4*p - 7. Let t(x) = 12*x + 33. Let s(c) = 3*c + 8. Let k(z) = 9*s(z) - 2*t(z). Let o(a) = -7*k(a) - 6*w(a). Calculate o(q(b)).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is c - -c?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-6)\/20 - (-437)\/190. Let w(c) = -1 + 31*c**m - 13*c**2 - 10*c**2 - 7*c**2 + c**3 - c. Let j(o) = 6*o**2 - 6*o - 6. Give -j(z) + 6*w(z).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = -h - 5*d + 14, -2*h + 2*d = 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = -3*u, -3*t + 139088 = 5*u - 22736. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1544 and 20917340?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 27004254853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 26 - 4. Let q = i + -21.7. What is the closest to -2 in q, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, k: 1, y: 1, f: 1}. Give prob of picking 1 f and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the third derivative of j**6\/60 - 7*j**5\/150 - 2*j**4\/15 + 4*j**3\/15 + 8*j**2. Factor c(l).\nAnswer: 2*(l - 2)*(l + 1)*(5*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -3*l**2 - 13*l - 5. Let w be g(-5). Let n be 8\/(-12)*w\/2. What is the second derivative of 7*k - 17*k - n*k**4 + 8*k wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*u - 3*u**4 - 2*u - 36*u**2 - 2 + 3*u**3 + 36*u**2 as p*u**3 + n*u + f*u**4 + c*u**2 + w and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o - 4*w + 883, 0 = 18*o - 16*o - w - 1730. Let q = -414 + o. What are the prime factors of q?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -3, 4 in increasing order.\nAnswer: -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 3133 (base 7) to base 9.\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 2*y**2 - 1116*y - 164322. Determine m(679).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(85) - -5*sqrt(85)*3)\/sqrt(5) + 5)**2.\nAnswer: 160*sqrt(17) + 4377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 4*s + 179 + 31 = 0, 0 = -n - s + 63. Suppose -i = -n - 5. Does 33 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 3*k + 93, -5*t - 15*k + 237 = -18*k. Calculate the remainder when t is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/(-24))\/(9\/((-141)\/(-47)*2\/(-9)))?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 216379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.3 + 2.30003. What is y rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 232 = -m - 444, 0 = h + m - 134. Calculate the remainder when h is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 3 = -4*x. Let a = -6 + 12. Suppose 10 = 4*l - a. Sort x, l, 5.\nAnswer: x, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.25 + -2.85. Let r = 2.3 + j. Let a = 0.25 + r. Which is greater: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*l**3 - l + l**3 + 8*l**3 - 2*l**4 + l**2 - 4*l**3 as c*l**2 + u*l + f*l**4 + r*l**3 + k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1.9 from 233.38307.\nAnswer: 231.48307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1030 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -176\/8445 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = -40 - -30. Let r = b + 5.2. Let i = 2.8 + r. What is the closest to 1 in -2\/9, i, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dhhh when four letters picked without replacement from {h: 3, d: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:08 PM and 8:44 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 74 (base 14) to base 7\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, 0.62, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 0.3 (c) 4\/5 (d) -3\/34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes after 11:31 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/y**(2\/15))**39)**(2\/7))**(-14) assuming y is positive.\nAnswer: y**(-676\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 509\/4? (a) -3\/8 (b) 433 (c) -1\/8 (d) 4 (e) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l**2 - 679*l - 113992. Determine b(-304).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-7)\/2*18\/(-63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -7, 0.07, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*u**2 - 5 + 5 - 27*u**2.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n and 1 d when three letters picked without replacement from {d: 6, n: 6, y: 7}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = -10 + 40. Let s(a) = -a**3 - 36*a**2 - 75*a. Let j be s(-34). Let t = -181 + j. What is the remainder when t is divided by v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 708030200 to the nearest one million.\nAnswer: 708000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 5*u**3 + 1. Let g(p) = -p**3 - p**2 + 10*p - 3. Let y be g(-4). Suppose -y*n - 14 = -2*t - n, -3*t = 2*n + 11. What is o(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 94127870?\nAnswer: 2, 5, 113, 83299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -530*n**6 + 7*n**2 + 9*n.\nAnswer: -63600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of ((-92)\/690)\/(27\/(-190)) and 59\/72.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*((sqrt(1377) - (4 + sqrt(1377) + 0)) + (1 + sqrt(1377))*1 + 3 - (2*sqrt(833)*2*-3 + -5)))**2.\nAnswer: 33480*sqrt(17) + 5294088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 82*z**3 + 7*z**2 - z + 4. Let k be j(-5). Let q = k + 4966. What is q rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 1 + sqrt(52).\nAnswer: -3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6220 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 10 in -1, -0.5, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.72*-3.441\nAnswer: 2.47752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(189) + sqrt(189)*1 + sqrt(189)))\/sqrt(7) + sqrt(432) + 2*sqrt(432)*3.\nAnswer: 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 40533*l + 46 - 40486*l - 46 + 13*l**2 to the form u*l**2 + z + p*l and give p.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -242\/13*y + 248\/13 - 6\/13*y**2 = 0. What is y?\nAnswer: -124\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -11*c**2. Let z = 1098 + -1100. Let y(g) = -2*g**2 + 2*g. Let s be (0 - 1) + 0\/(-4). Let d(a) = -a**2 - a. Let p(b) = s*y(b) + z*d(b). Give r(p(j)).\nAnswer: -176*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 101*a - 12*a + 14*a - 2.\nAnswer: 103*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sum 105027 and 2.\nAnswer: 105029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-13)\/(-11) + (-18)\/99. Suppose 4*d - g - 11 = 0. Let y be (0 + d)*(-4)\/3. Let v(o) = 3*o - 4. Determine v(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes before 4:00 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-16)\/(-3) - 4\/(-6). Let h be ((-4)\/s)\/((-4)\/(-3)). Is h smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 274 = -f + 2*p, -149 = -f - 4*p. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.921328ms in microseconds?\nAnswer: 2921.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 11707385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nyr when three letters picked without replacement from qrhyhyyqhnrqhryyhhye?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -c = -4*u + 2*c + 31, 4*c + 40 = 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor x**3\/2 - 370061*x**2 + 68472201798*x + 136945883844.\nAnswer: (x - 370062)**2*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 56*i**2 + 98*i**2 - 32*i + 32*i to the form j*i**2 + t*i + n and give j.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.17 - 0.33. Which is the second smallest value? (a) u (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 323 a factor of 5940939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3\/5, 1\/2, -1, -0.2, 30790, 0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -27*b - 1 - 2*b - 25*b + 4*b to the form w*b + y and give w.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -816.1372 * 1\nAnswer: -816.1372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -1\/10, -2, 578745.\nAnswer: -2, -1\/10, 4, 578745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 + 3 = -2*l. Suppose d + 3*b = 32, 12 = -b + l*b. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 272221 is divided by 1012.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 97166317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 4*m - 4*m**2 + 3*m**2 + 18 + 25 + 13 - 50. Let o(z) = -z**2 + z + 1. Determine n(a) - 4*o(a).\nAnswer: 3*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 136 = 3*n, b = -3*b + 2*n + 122. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**2 + 2*g + 4. Let f(n) be the second derivative of -5*n**3\/6 + 143*n**2\/2 + 128*n. Let l be f(29). Determine k(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 6, t: 2, w: 4, x: 1, z: 2}. Give prob of sequence tt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 4, -3, -10?\n\"Answer: -7*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3)\/((45\/78)\/(-5)). What is the greatest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 637843 divided by 85.\nAnswer: 637843\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9711 and 3861.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/4, -3, 0, 1, -44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/40 and -93\/256.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 124084*j**2. Let c(v) = 8*v. What is p(c(f))?\nAnswer: 7941376*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 95 and 125690.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(3) - (sqrt(675)\/sqrt(9))**2) + 1.\nAnswer: -149 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -954903*g - 6 - 10 + 954894*g.\nAnswer: -9*g - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*p + 118 - 87 = 332 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -27*i - 14. What are the prime factors of d(-3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 141764 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 37376819 a multiple of 421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -21*r**3*v**2*y**2 - 2*r**3*v + r**3*y**2 - 3*r**3*y - r**2*v**3*y**2 + r*y**2 wrt v.\nAnswer: -42*r**3*y**2 - 6*r**2*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -74*t - 268 + 46. Let c = -294\/9389 + -4\/229. Which is bigger: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -47 - -48. Let q be s\/(-5) + 4\/(-10). Let t be (-1)\/(-12) - (-2)\/8. Which is the second biggest value? (a) 2 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 121587624 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-485)\/2134*8\/110.\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: 2040 (base 7) to base 3\nAnswer: 222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 5, 0, -0.4, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Subtract 274 from -0.0226144189444.\nAnswer: -274.0226144189444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 68 and 31484.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the second derivative of -t**3\/6 + 271*t**2\/2 - 24*t. List the prime factors of l(0).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -37 and -2604\/73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Add together 3.27 and -27.\nAnswer: -23.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = -35 - -24. Let k(g) = 8*g**2 + 5*g + 14. Let q(z) = 3*z**2 + 2*z + 5. Let b(o) = j*q(o) + 4*k(o). Suppose -4*p + 3 = 11. What is b(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 201.546 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 30*n**3 + 12*n**2 - 15*n - 10. Calculate the remainder when f(3) is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(5\/4)*n)\/n*n**(25\/6)\/n assuming n is positive.\nAnswer: n**(53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1, -2\/11, -2, 3\/29, 11\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 4*s**2 - 6*s - 5. What is x(5)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 25 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + 4 + (-66)\/((29 + -1)\/4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -5797\/247 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -2346*j + 9 - 11 + 2 - 748*j in the form b + n*j and give n.\nAnswer: -3094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -5, -4, -12, 2448.\nAnswer: -12, -8, -5, -4, 2448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -2*s**3 - 2*s**2 - 2*s - 4. Calculate j(-5).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 485564?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 2357718 divided by -278?\nAnswer: -8481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = c**2 - c. Let m be d(-2). Let i be m - (8 - (-3 - -7)). Suppose 0 = i*o - 25 - 21. What is the highest common divisor of 184 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 181358695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 12790000 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/(3*4\/24). Let f(l) = -216*l**2 - 41*l - 9. Let o(z) = 72*z**2 + 14*z + 3. Let c(q) = -6*f(q) - 17*o(q). Is c(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -14*g**3 - g**2 - 2*g - 2. Determine b(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 11705 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 108 and 60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4*(-5)\/(-10) + -187. Let d = -103 - u. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 54*v - 3*v - 195 - 49*v as i*v + d and give d.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nknnknknkkknkkkkkkk. Give prob of picking 4 k.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1099665457?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the first derivative of 11*b**2\/2 + 68*b - 33. Let d be g(-5). Let k = 0 - 0. Solve -24 = -3*a - 5*m + d, 3*a + 2*m - 22 = k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 83 and 1812637?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0 + (-28)\/6)*3. Let f be (-52)\/o + 6\/21. Suppose -130 = -f*w - w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -7855569*d**2*p**3 - 420234*d**2*p + 13*d**2 - 2*d*p**2 + 12*p**3 - p**2 wrt p?\nAnswer: -47133414*d**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 4*n = -13 + 2, 2 = 2*n. Solve -3*t - q + 6 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -90, 5, 13, -17, 1 in increasing order.\nAnswer: -90, -17, -4, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -967.005004 + -0.124996. What is a rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 54c (base 15) in base 9?\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -2*h + 13. Let t(d) = d - 6. Let x(l) = -l - 6. Let n be x(3). Calculate n*t(o) - 4*i(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pucuupeuuecpppuuu. What is prob of picking 3 u?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-3 - -15) + (-19 - -12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 2*y = -180, -4*u = -2*y + 20 - 162. Let d be (-10)\/(-3)*462\/55. Let w = -15 + d. Calculate the remainder when u is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = -3*b + 347, 3*b + 4 + 5 = 0. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (16\/3)\/8*(-36)\/(-40)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02 minus 1756391678?\nAnswer: -1756391678.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 7363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -31.12 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12 and 10\/(-5 - 85\/(-15)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the second derivative of -5\/12*p**4 + 3\/2*p**2 - 1\/20*p**5 - 1\/6*p**3 + 0 - 34*p. Calculate q(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -4 + 3*a - 1 + 3 + 4. Calculate k(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 632*r**2 - r**3 - 1257*r**2 + 625*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 3*h + 25. Let b be z(-8). Sort 10, -5, b in descending order.\nAnswer: 10, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is l in 5*l**2 - 675*l - 13770 = 0?\nAnswer: -18, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 2596 + 500*v - 2596 in the form p + x*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - t = -40, -79 = -n - n - 3*t. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 + ((-16)\/(-6))\/((-1)\/(-30)). Let l = 131 - h. Calculate the remainder when 8\/((-10)\/5) + l is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 6*b - 4 = 0, 0 = -4*l + b + 2. Let m = l - 21. Let r = -7 - m. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -3*w**4 + 6*w**2 - w. Let s(y) = -y**4 + y**2 - y. Let x(n) = -f(n) + s(n). What is the third derivative of x(c) wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -94 + 94.33. Let x = 1.61 + -2.44. Let n = r + x. Which is the smallest value? (a) 3\/7 (b) -0.3 (c) 0.1 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 6}. What is prob of sequence aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s**2 + s - 9. Let h be b(-4). Suppose v - 4*g = -2 - 3, -1 = -h*v - 4*g. Sort v, 0, 2.\nAnswer: v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g such that -2*g**3\/3 - 1042*g**2\/3 + 85322*g\/3 - 1629110\/3 = 0.\nAnswer: -595, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-5))**(-27)\/((l**(-2)*l)\/(l**(2\/45)\/l)) assuming l is positive.\nAnswer: l**(6077\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -2\/21 (b) 0.1 (c) 0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -5 + 15 + (0 - 1) + -4 + 11\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the second derivative of -6047*q**7\/42 + 111*q**4\/4 + q**3 - 2*q - 339. Find the third derivative of l(j) wrt j.\nAnswer: -362820*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j - 5 = -0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 22735781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -320 + 317. Let a(h) = h + 8. Let x be a(-4). Let m be (1 - c\/x)\/(3\/72). What is the highest common factor of m and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(70) - 5*(sqrt(70) - sqrt(70)*2)) + -2*sqrt(70)*1)\/(4*(sqrt(40) - sqrt(80)\/sqrt(2) - sqrt(40)) + sqrt(40) + sqrt(40)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 1 + 13 = 4*s, s - 2*a = 5. Let b(k) = 8*k**2 + 6*k + 1. Let w be b(-1). Factor 63*r**2 + 23*r**4 + 25*r**s + 26*r**w + 33*r - 8*r**4 + 65 - 59.\nAnswer: 3*(r + 1)**3*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37 - (-46 - -29 - -77)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -131 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f*f**27)\/(f\/f**(-8))*(f**(-2\/3))**(-2\/7) assuming f is positive.\nAnswer: f**(424\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 0 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7865670?\nAnswer: 2, 3, 5, 29, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4814 - -18863. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -60 + 67. Let r = -474 - -479. Calculate the remainder when b is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.5 in 10641, 0.3, -3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 398 = 115*x + 84*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 17\/738?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -5.8499480622 - -1.\nAnswer: -4.8499480622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-1*sqrt(27) - (sqrt(3) - (sqrt(363) - (sqrt(363) - sqrt(363)*-2)**2)) - sqrt(30)\/(sqrt(10) - (sqrt(10) + sqrt(20)\/sqrt(2))*2)).\nAnswer: -22*sqrt(3) + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 27246*o = 27319*o - 730 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17473 is divided by 2912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -373 plus -0.081?\nAnswer: -373.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify n\/n**(-19)*n\/(n**(-10)*n) assuming n is positive.\nAnswer: n**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 11299 - 11166. What is the remainder when 782 is divided by z?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2 and 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -731 + 3*m**2 + 5075 - 189 + 7429.\nAnswer: 3*m**2 + 11584","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 17247 - 0?\nAnswer: 17247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31977 is divided by 463?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -15*b**3 + 2*b**2 - 10*b - 109. Let p(y) = 4*y**3 + 3*y + 37. What is -2*g(q) - 7*p(q)?\nAnswer: 2*q**3 - 4*q**2 - q - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -2*f**3 - 4*f**2 + 2. Let l be b(-3). Solve l = 3*w + 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 247 + -264. Let s(m) = -m**3 - 18*m**2 - 20*m + 7. Let c be s(g). What is the highest common factor of c and 754?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 44 - 59*x - 27 + 0 wrt x?\nAnswer: -59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1596809, 3194175, 4791541, 6388907, 7986273, 9583639?\nAnswer: 11181005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -469, -952, -1437, -1924, -2413, -2904?\n\"Answer: -k**2 - 480*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 338 - 58 = 4*c. Suppose -2*w = -4*r - 2, -c = -8*w + 3*w - 3*r. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 317544 to the power of 1\/2, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f = -3*f - 100. Let n be (-4)\/(-14) - (-78)\/21. Suppose 3*r - 72 = -7*o + 4*o, -16 = -n*o. Calculate the lowest common multiple of f and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2\/4 + 0)\/4. Which is the closest to -0.2? (a) h (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 * -34.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*v + 38817 + 121187 = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 2 - 2 - 4*q. Let j(c) be the third derivative of c**8\/10080 - 46*c**5\/15 - 282*c**2. Let m(k) be the third derivative of j(k). Give m(z(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = -15 - -5. Let g be ((-34)\/t)\/((-16)\/(-80)). Suppose -20*s = -g*s + 12. Let h(l) = l**2 - 1. Let z(y) = -4*y**2 + 2. Determine s*h(j) - 2*z(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 403.1971m?\nAnswer: 0.4031971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ccffcfcvcf. What is prob of sequence fcv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 12*g**2 + 120*g + 60. Let a be d(-11). Calculate the highest common divisor of 224 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4093*g - 4103*g + 313550. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 3 q when four letters picked without replacement from qgvhugugqvgvnggvhvvq?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -3, -1, 0, 980, -5 in descending order.\nAnswer: 980, 0, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -1481, -2.2, 5\/73, -5.\nAnswer: -1481, -5, -2.2, 5\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/14)\/(288\/(-336))*-12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -1\/5 (b) -64 (c) -4 (d) -3 (e) 1\/7 (f) 1.4 (g) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 60564792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -0.24 * -213\nAnswer: 51.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the second derivative of i**3\/6 + 3*i**2\/2 - i. Calculate the smallest common multiple of 3 + -9 + (-96)\/(-4) and h(5).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (227\/(-2951))\/(18\/(-39)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.38862928 to three dps.\nAnswer: -1.389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 21925743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -0*i + i + 2*v, -5*i + 2*v + 30 = 0. Suppose i*s = -s. Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 48967 = -z + 79648, -4*z - 42850 = -u. List the prime factors of u.\nAnswer: 2, 3, 5, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 52 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*m + 0*m + 2*m)*(1 + 2 - 4)*(8880 - 8880 + 267*m**2) in the form p*m**3 + d + t*m**2 + z*m and give p.\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 2050224 divided by 242\nAnswer: 8472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the second derivative of -l**6\/15 + 5*l**3\/3 - 8*l. What is the second derivative of c(s) wrt s?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**3 + 2*f**2 + 4*f + 5. Let n be u(-2). Suppose 36*l = n*l + 46. Let -1\/5 - 2\/5*k - 1\/5*k**l = 0. What is k?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 303.0258 + -303. Let p = y - 0.02579571. What is p rounded to seven decimal places?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -261, -457, -639, -807, -961, -1101, -1227?\nAnswer: -1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f**3 + 5*f**2 + 5*f - 12. Calculate l(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (1905 - 1942) + (-2 - (88 - -3))?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 - -5.8. Let s = q + -4. What is s rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 66.11 - 66. What is the smallest value in j, -2, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1467230 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 22 - 16. Suppose -2*f = f - j. Suppose z + r + 52 = 4*z, -4 = -f*r. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 3, a: 5}. What is prob of sequence aq?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 4105697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 0*s = 3*s + 45, -2*v + 27 = -s. Calculate the remainder when 2\/5 - 226\/(-10) is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7, -4, 17, 68, 161, 308?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 12 - 7. Suppose -8*a = -42 + 42. Put -1, u, a in increasing order.\nAnswer: -1, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3*p - 5*p + 3*p)*(0*p + 5*p + p) + 10*p**2 + 14*p**2 - 6*p**2 in the form q*p + j*p**2 + u and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2138727 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -0.4*-0.1\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000000100413 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by 4083768\nAnswer: -5\/4083768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -225 + 441. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from vzmnudmnz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0003428 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in fourty-five eighths of a century?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*w**3 + 12*w**3 + 4*w**3.\nAnswer: 34*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 63281*u**2 + 950*u - 950. Is y(1) a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*x**2 + 0*x**2 - 2*x**2 + (0*x + 2*x + 0*x)*(0*x + x - 3*x) - 1 + 1 + x**2 + 3*x**2 + 4*x**2 - 5*x**2 - 146*x**2 + 250*x**2 + 198*x**2.\nAnswer: 297*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -4*b + 5*b. Suppose 3 = -7*p + b*p. Is -4\/3 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/18*(279\/6)\/(-31).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 32769400 to the power of 1\/2, to the nearest integer?\nAnswer: 5724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(2\/3)*q)**7\/(q**0)**(-7\/5) assuming q is positive.\nAnswer: q**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 372*c + 3002 = 214*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 8 (base 13) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 2*o. Suppose -5*v = 4*r + r - 30, -3*v = -2*r - 3. Suppose 4*u = r*u + 2. Let x(b) = 2*b - u*b**2 - 2*b. Calculate x(z(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1 - -51*(-4)\/(-6). Let p = f + -15. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -227 - -154. Suppose s = -5*c - 381, -5*s = -233*c + 228*c - 375. Let a = w - c. Solve 3 + a = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -39*d + 38*d = 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 174, -2, -13, 7, 14 in descending order.\nAnswer: 174, 14, 7, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**2 - r - 25. Let p be a(6). Suppose p*b + 204 = 8*b. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-340)\/(-45) - (-32)\/72. Calculate the greatest common divisor of z and 1000.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30090.4 minus 1.7?\nAnswer: 30088.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13, 47, 125, 265, 485?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 83948 - 17958 = 2*l, 4*l = 4*y - 131980. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (30 + k**2 - 77 - 166)*(-2*k**2 + 2*k**2 - 2*k**2).\nAnswer: -2*k**4 + 426*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 512183, 1024412, 1536641, 2048870, 2561099, 3073328?\nAnswer: 3585557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1478 - 1476. Which is the nearest to 2\/61? (a) 3\/2 (b) q (c) -2\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1068\/(-979)*(-1980)\/(-144).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -v**3 + 17*v**2 - 29*v + 3. Let h be g(15). What is the first derivative of -2 + h + 23*f**3 - 43*f**3 wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 174 + -175. Which is the closest to t? (a) 3 (b) 2\/15 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-15)\/(-24) + 1\/(-1). Put h, -3\/5, 0.4 in increasing order.\nAnswer: -3\/5, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-39)\/(-39))\/(-1*1\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -1301*f - 3172. Is h(-33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 126 and 216?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 99089669 to the power of 1\/2, to the nearest integer?\nAnswer: 9954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.7 - -1.2. Let o = g - 2.5. Let k(j) = 2*j. Let f be k(2). Which is the biggest value? (a) 0.2 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -l**3 - 6*l**2 - l + 4. What is s(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 14*x**2 + 2*x. Let a be s(-1). Let r = a - 9. Suppose -3 = -i - 0. Solve r*h + 0*h + 3 = i*m, h + 7 = 3*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g - 1. Let o(y) = y**3 + 3*y**2 - 11*y - 10. Let r(j) = o(j) - 4*t(j). What is r(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3\/(-10))\/((-18)\/15). Let f = 1 + 0. Let s = -0.9 + -0.1. Which is the nearest to s? (a) f (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2064771*v - 1562*v**5 + 341 + 899 - 2064772*v wrt v?\nAnswer: -31240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m = 8, -5*m + 3*m = -3*p + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 83 - 2\/4*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -42556 - -66910. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -203 = -7241*u + 7270*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 130 - 258. Let i = p + 515\/4. Let q = -4341 + 4340.9. What is the closest to 1 in 0.4, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-k + 3*k + 6 - 14)*(-k**2 + 10*k**2 + k + 0*k**2) in the form q*k**2 + p*k**3 + y + x*k and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -100 + 98. Sort b, 0.1, 3\/5, -1 in decreasing order.\nAnswer: 3\/5, 0.1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**3 - 7*d**2 + 3*d - 13. Let k be n(7). Is 8 != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -10*d + 3. What is m(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**2 - 1936*z + 658140. Calculate w(295).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -11*i + 196. Let t be c(18). What is the nearest to -0.1 in 5, t, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 6812 divided by -131\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 208237273 is divided by 190519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = -r + 5526, -4295 = -2*v - 5*r + 1255. What is the highest common divisor of 414 and v?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-5*(4 + (sqrt(396) + 1)**2 + sqrt(396)) + ((-3 + sqrt(396) + 0 + sqrt(396))**2 - ((sqrt(396) - -2*sqrt(396)*-5) + sqrt(396)))).\nAnswer: 456*sqrt(11) + 1648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9 and 37689.\nAnswer: 113067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/63 and 77\/207?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 43 in 22\/57, 5, 0.5, 4, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 519 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4 + 29\/7)\/(2\/(-6)). Sort -3, -0.2, i in descending order.\nAnswer: -0.2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -5 - (-102)\/18 - (-14)\/6. Suppose -10 = -4*d + q*d - 3*z, 4*d + 2*z - 70 = 0. Suppose -4*b + 99 = -25. Calculate the remainder when b is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 152.71 take away 4238092672?\nAnswer: -4238092519.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k**4\/2 - 201*k**3 + 1575*k**2\/2 - 978*k + 390 = 0.\nAnswer: 1, 2, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**2 + 4*s + 7. Let j be -14 + 18\/10 + 6\/30. Let n be 6*(j\/8 - -1). Let i be x(n). Solve y = -5*d - 18, 0 = i*y + 5*d + 28 - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:40 AM and 7:17 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (15\/(-35))\/(1571\/142961)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 11, -3.4, 1\/3, 2, -717 in descending order.\nAnswer: 11, 2, 1\/3, -3.4, -717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 889 in -2\/21, 0.0697, 0?\nAnswer: 0.0697","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 914166 divided by 171\nAnswer: 5346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 0.3, 0.14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 67 - 63. Suppose -10960006 = m*t - 2*w, -4*t = -t - w + 8220003. Round t to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(1053) + -2 + sqrt(1053) + 2 + 1*sqrt(1053))**2 + -5.\nAnswer: -108*sqrt(13) + 9476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 3*y = -144 + 10, -4*y = 5*l - 358. Suppose 2*s = 15*s - 91. Calculate the greatest common divisor of l and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x - 13. Suppose -3*s + 19 = 3*q + 1, -s + 14 = 3*q. Suppose m + 65 = -q*m. Let w be t(m). Which is the second biggest value? (a) 5 (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 - 126?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19103 is divided by 323?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n**3\/3 - 24584*n**2\/3 - 33455396*n\/3 + 33479984\/3 = 0. What is n?\nAnswer: -4111, -2036, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 79, 77, 75?\n\"Answer: -2*s + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a + 13*i - 2324 = -2429, -4*a + 3*i + 11 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) -0.1 (c) -39 (d) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 121 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -396, -1620, -3654, -6498, -10152, -14616, -19890?\n\"Answer: -405*u**2 - 9*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 6\/7 + 6\/7*q**3 + 26\/7*q**2 + 26\/7*q.\nAnswer: 2*(q + 1)*(q + 3)*(3*q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) -1 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 16\/3*(87\/66 - ((-10166)\/374 + 27))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of 189.68 and -0.6549.\nAnswer: -124.221432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*i - 1 + 1)*(4 - 1 - 2) + (3 - 4 - 2)*(-i - i + 0*i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27151*t**2 + 699*t**3 + 54303*t**2 + 1 - 1 - 27152*t**2.\nAnswer: 699*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (29\/(-4))\/((-3 + -4)\/28) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -920 - -36.\nAnswer: -884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the second derivative of -o + 121\/3*o**2 - 22\/9*o**3 + 10 + 1\/18*o**4. Factor a(y).\nAnswer: 2*(y - 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -334245585.9809 + 0.3?\nAnswer: -334245585.6809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 38*b**2 + 23*b**4 - 2*b + 2*b - 58*b**2 wrt b?\nAnswer: 552*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*j = 7*j + 25. Suppose -58 = -2*b - 46. Suppose 0 = -b*r - j*r. Solve 4*w + 8 + 8 = r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nvvvivlvn. What is prob of picking 1 l, 1 n, and 1 i?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (-3 + sqrt(99)*-1 + 3 + sqrt(704) + (sqrt(704) - (sqrt(704) + 0)))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 2*b**2 - 20 - b**2 + 7 - b + 7 + 10. Let a be (1\/2)\/(1\/8). Let q be p(a). Solve -w = -5, 4*w - q = 2*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.17 * -0.02724\nAnswer: -0.0046308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 - -1. Suppose 0 = r*x - 2*x + 93. Let k = -26 - x. Solve k*w - 8 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-3)*3 - 1. Suppose -3*c - 3 = -12. Let b(l) = -l - 2*l - c*l + 5*l. Give b(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15351 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the second derivative of 0*p**3 + 4*p + 0*p**2 + 0*p**5 + 3\/14*p**7 - 5\/6*p**4 + 0 + 0*p**6. Find the third derivative of z(s) wrt s.\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 0.1, -0.5, 3 in decreasing order.\nAnswer: 3, 0.1, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 337*b - 324*b = -65 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m**2 + 4*m + 4. Let b be i(-5). Suppose -2*d + k = 6*k + 35, 0 = -2*d + 2*k. Let z = b + d. Solve -z*g - 8 = -0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -124, -2\/47, 0, -20, -5, 1?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*u**3 - 2*u**3 - 3*u**3 - 13*u**3.\nAnswer: -34*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 603754 (base 9) to base 10\nAnswer: 357097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-71)\/80088*-94)\/((-6)\/4)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-5 - -4) + 1 + -6. Let h(n) = -5*n**3 + 9*n**2. Let p(y) = 4*y**3 - 8*y**2. Calculate g*p(k) - 5*h(k).\nAnswer: k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (g**3 - 5*g**3 - 14*g**3)*(3 + 5 - 5) + 11*g**3 + 22*g**3 + 6*g**3 - 4*g**3 + 3*g**3 - g**3.\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 124\/40*95*(-45)\/(-855)\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3817 = 44*a + 3113 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express v + 0*v + 0*v + (-2342 + 3530 + 6770)*(v - 2*v + 0*v) in the form g + t*v and give t.\nAnswer: -7957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 5) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 12446 and 1568.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 19561.9mg?\nAnswer: 19.5619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 116 a factor of 46646384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 301920767 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 2 a when three letters picked without replacement from {q: 6, s: 5, a: 3, t: 1}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = p - 3*k + 15, p + 10 = -5*k. Suppose 148 + 152 = p*q. Calculate the remainder when 123 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*g + 30*g = i - 29, 0 = 3*i + 5*g - 75. What is the lowest common multiple of 360 and i?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {a: 1, e: 2, s: 1, w: 4, i: 5, u: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -3*x + 91. Let l be r(29). Let p(b) = b**2 + 7*b + 6. Let w be p(-5). Let j be 8\/(-5) - w\/(-10). Put -1, j, l in descending order.\nAnswer: l, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6912\/(-8640)*(-75)\/(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 3, v: 7}. Give prob of picking 2 n and 1 v.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is ((-171)\/(-12))\/(4 - (-158)\/(-40)) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 911844.7 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2570 = 721*g - 314. Solve -87*r = -86*r - g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -261779069, -523558139, -785337209?\n\"Answer: -261779070*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 5 - 3 + 1081868*f**2.\nAnswer: 1081868*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.15 in 4, 5, 4\/53?\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5047255*t**3*u + t**2*u - 678*t**2 + 790*t + 2*u wrt t.\nAnswer: 30283530*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 938 divide 166249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 603*l - 2495*l - 30272 = 0 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jg when two letters picked without replacement from goj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -296, -1084, -1872, -2660, -3448, -4236?\n\"Answer: -788*z + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -458137571*c + 245036913?\nAnswer: -458137571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 40, 42, 44, 46, 48?\n\"Answer: 2*t + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -1027*h + 8864. Calculate s(9).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x**0*x**(2\/21)\/x)**(-1\/12) assuming x is positive.\nAnswer: x**(-1\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) be the second derivative of a**5\/5 + 11*a**4 - 270*a**3 + 2150*a**2 + 1863*a. Factor z(w).\nAnswer: 4*(w - 5)**2*(w + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -a**3 - 3*a**2 + 51*a - 124. Calculate the smallest common multiple of x(-10) and 324.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -5\/2 (b) 2 (c) -3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -85*y + 42*y + 43*y + 28*y**2.\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-15 + 13)*30\/360*12\/97\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -848 - -845. Let i(a) = 2*a - 2. Let j(p) = 2*p - 3. Calculate y*i(o) + 2*j(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8361696 divided by 21.\nAnswer: -398176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 1023013528 by 4.\nAnswer: 255753382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that p**4\/5 + 8393*p**3\/5 - 1679*p**2 - 8393*p\/5 + 8394\/5 = 0.\nAnswer: -8394, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.5 and -0.0024.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 382857 and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1674494.\nAnswer: 2, 521, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4*6\/(-20))\/(2068\/235))\/3.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the third derivative of -k**5\/60 - k**4\/6 + k**3\/2 + 2*k**2. Suppose 0 = -3*r + 5*r. Let z = r - -2. Calculate b(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-19)\/((d**(-4\/25)*d)\/d)*(((d*d**(-4\/13))\/d)\/d)**11)**(2\/27) assuming d is positive.\nAnswer: d**(-21596\/8775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -24234 = 1102*c - 1092 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 328\/281 or 2?\nAnswer: 328\/281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 7622*q**4 + 4167*q + 26. Let u(y) = -1905*y**4 - 1042*y - 6. Let d(f) = 6*r(f) + 26*u(f). What is the second derivative of d(z) wrt z?\nAnswer: -45576*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + ((sqrt(7) - 4*(sqrt(7) + sqrt(112)))**2 - sqrt(14)\/(sqrt(4)\/sqrt(2))))*1.\nAnswer: -sqrt(7) + 2529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3\/(12\/163)*-1. Let w = g + 41. Which is the third biggest value? (a) -1\/4 (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**3 + 6*p**2 - 48*p + 56.\nAnswer: 2*(p - 2)**2*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t + 3*n - 4 + 12, -2*n = 4*t + 4. Let r be (-18)\/5 + (-2)\/5. Let s(u) = u**3 + 4*u**2 + 3. Let j be s(r). Solve -j*f + 4 = t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the second derivative of -17*h**7\/14 + 10*h**4\/3 - 3*h + 6. Find the third derivative of p(d) wrt d.\nAnswer: -3060*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 161682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/3*z**3 + 0 - 8*z**2 + 16\/3*z + 2*z**4 + 1\/3*z**5.\nAnswer: z*(z - 1)**2*(z + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3 and 2884374.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 94 - 88. Let m(a) = -a**2 + 3*a + 22. Let n be m(v). Sort 10, n, -2.\nAnswer: -2, n, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = -4*n - 2*v + 2, 0 = 4*n + 4*v + 16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 10 and 3565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46 = -4*v + 2*r, v - 11 = -r + 8. Let u = -9 + v. Solve -3*p - 10 = 2*p - 5*w, -u*w = -3*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18445345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18\/(-4) - (-144540)\/360.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l and 1 u when three letters picked without replacement from lelleelllllulleel.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -175 = -5*d + 5*m, 135 = 5*d + 4*m - m. Calculate the remainder when 122 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28958?\nAnswer: 2, 14479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 591 - -10\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 3233 (base 4) to base 8.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (19 - -2 - 18 - 23) + 28 + (-37 - 0)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 403922021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes before 8:31 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3599802 + 4554392 = 118*a + 1522948. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(416))\/sqrt(2) - (1 + sqrt(13) + sqrt(52)*-6)**2.\nAnswer: -1574 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -178 divided by 36\nAnswer: -89\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 101 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -44 and 1.7?\nAnswer: -74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 77656186?\nAnswer: 2, 4793, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 14 and (-8)\/(-14) - (-122300)\/350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.02, 1, -5, 18 in decreasing order.\nAnswer: 18, 1, -0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -1021 (base 4) to base 7.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3426?\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (51 + 1 - (127 - 113)) + 3 + -12.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(192)\/sqrt(4) + 3.\nAnswer: 3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19895.4498*-0.4.\nAnswer: -7958.17992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the first derivative of -2*n**2 + 5047. Let u(z) = 427*z + 2. Give u(c(y)).\nAnswer: -1708*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j, 2 s, and 1 q when four letters picked without replacement from sqsjiscajqj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1285802 and 1833693?\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * -10.915.\nAnswer: 54.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 * 35.628.\nAnswer: 142.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1996 a factor of 4522541115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 86, 3, -2 in decreasing order.\nAnswer: 86, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001797605 to six dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-40)\/84*-7*(-8910)\/(-900).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 78*a - 59*a - 74*a.\nAnswer: -55*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2135?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 289361718*g*q**3*u**2 + g*q**3 - 8*g*q**2*u**2 - 998*g*q*u**2 + g*q + 113*g*u wrt q?\nAnswer: 1736170308*g*u**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**3 - 8*s**2 - 12*s - 23. Let m be w(10). Suppose -67*z - m = -68*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2037902 divided by 3.\nAnswer: -2037902\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000327626 rounded to seven decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*r**2 - r**3 - 7*r**2)*(-1 + 0 + 2 + (-1 + 2 - 2)*(5 - 4 - 3) + 2 - 7 - 4).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2*-6)\/((-9336)\/(-49792))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 59*w - 60*w, -5*w = -5*z + 24270. Calculate the highest common divisor of z and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 0.7437762t?\nAnswer: 743.7762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (12\/(-26))\/(-112*2\/208)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8027323501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 75*w**5 - w**4 - 29*w**3 - 263*w + 2?\nAnswer: 1500*w**3 - 12*w**2 - 174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.4, -60, 1?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the third derivative of 1\/6*l**4 + 0*l + 0 + 3*l**2 + 4\/3*l**3 - 1\/15*l**5. Suppose u(i) = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -73*k + 6019274 = 1436772. What is the ten thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -18 - -18. Suppose v = 4*k - 2*k - 100. Let d = -19 + k. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 4*r**2 - 23*r + 208. Is 27 a factor of q(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -667 - 37?\nAnswer: -6a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:42 AM and 1:02 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2)\/7 + (-3)\/(-63)*146. Let v = 1129\/3 + -373. Find m such that c*m**3 + 2\/3*m**5 - 2\/3 - 20\/3*m**2 - v*m**4 + 10\/3*m = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001909 rounded to 6 decimal places?\nAnswer: 0.000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-6*(-2*sqrt(252) + 2) - ((-4*(-1*sqrt(252) - sqrt(252)))**2 + sqrt(252) - (-3 + sqrt(252)*1)**2)).\nAnswer: -79395 + 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -140*c = 263 - 168 + 745. Let q(o) = -8*o**3 - 3*o**2. Let j(s) = -495*s**3 - 187*s**2. What is c*j(a) + 374*q(a)?\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 5, x: 1, m: 3, s: 2, w: 3, u: 1}. What is prob of picking 1 o, 2 w, and 1 u?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 19 in 0.8, -3\/28, 0.4, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -1*-5*(sqrt(1700) + (-2 + sqrt(1700) + sqrt(1700) - sqrt(1700))) + -5)**2.\nAnswer: -3200*sqrt(17) + 170256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(1\/2)\/(s**7*s)*(s**(-3))**(-50))**2 assuming s is positive.\nAnswer: s**285","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: ((-4788)\/(-24))\/(-21)*336\/56\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -1356*h**2\/17 - 158654*h\/17 - 234\/17.\nAnswer: -2*(h + 117)*(678*h + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - -3) + -8 + (2 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-28 + 10)*(-2)\/32. Which is greater: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5\/3*a**4 + 20 + 65*a**2 + 185\/3*a + 25*a**3.\nAnswer: 5*(a + 1)**3*(a + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) be the first derivative of p**6\/18 + p**5\/5 - 11*p**4\/12 - 17*p**3\/3 - 31*p**2\/3 - 8*p - 2384. Let a(i) = 0. What is i?\nAnswer: -3, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -7 + 3 - t + 2. Let k(j) = -2 + 1 + j + 2. Let l(a) = a**3 - 4*a**2 - 23*a - 16. Let d be l(-3). Determine d*k(o) - 5*i(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.1 + 8.9. Let q = 10.3 - f. What is the second smallest value in q, -2\/9, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that 2*c**5 - 384*c**4 - 82886*c**3 - 2124444*c**2 + 15810912*c = 0.\nAnswer: -103, -39, 0, 6, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -30281 + 21191. What is y rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -63*d + 7. Let j(n) = -21*n + 2. Determine 14*j(f) - 4*w(f).\nAnswer: -42*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -1\/55, 3, -4\/51?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-96)\/(-7))\/((-12)\/(-42)). Let p = -35 + m. Calculate the greatest common divisor of p and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-12)\/96*-10*(-118)\/5355 and 37\/12.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - w + 325 = 0. Let t = w + -53. Calculate the highest common factor of 96 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -100 (base 5) in base 7?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 18 - 6 - 9 - 3194\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 11*v + 179. Suppose -606 - 794 = -12*r + 112*r. Determine u(r).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + 16 = 5*m, 0*v - 7 = -2*m + v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 9671 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - -4 - 72) + -91 + 122.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 150 (base 9) in base 14?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 953 + -729. Calculate the highest common divisor of k and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -290625660 divided by 260\nAnswer: -1117791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 38 = -5*n, -47 = -3*l - 0*n + 5*n. Solve 11*c - 2*c + l = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16087173679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -60 + 1d?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ese when three letters picked without replacement from {b: 1, s: 2, f: 1, a: 4, e: 7}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 59137531373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 57779132077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 2*u = 8, 6 = 4*a + 5*u - 20. Let b = -8 - -14. Let k(x) = -x**2 + 6*x. Let s be k(b). Sort a, s, 3 in descending order.\nAnswer: a, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12eb (base 15) in base 2?\nAnswer: -111111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-68 - -40) + 71 - 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 69082151 to the power of 1\/2, to the nearest integer?\nAnswer: 8312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1158 - 1158.2. Let m = 4 - 6. Which is the third smallest value? (a) -3 (b) m (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 30040 (base 5) to base 14\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*d - 20*d = -29*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-5))\/((-42)\/105).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x**2 + 4*x - 3*x + 2*x - 6. Let c be (-24)\/5 - 4\/20. What is n(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -1\/6 (c) -1.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -10 - -10. Let j(l) = -4 + 16*l**2 - l**2 + r + 5. Calculate the remainder when 47 is divided by j(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -51220 by -10244.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.2, -0.1, -0.5, -2\/23, 2, -252, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 2 = -2*m, 2*x - m = 5*x - 29. Suppose 3*j + x = 4*k, 6 = 2*k + j - 2*j. Calculate the remainder when 13 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 438.58 - 342.2. Let l = -95 + x. Round l to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - -11) + (-148 - -125) + 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes before 1:26 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 3*t - 52. Suppose 0 = -4*o + t + 75. Calculate the remainder when o is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -9*l**4 + 3*l**2 + 3*l**2 - 6*l**2 - 3 wrt l?\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 37599 and 9513?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 1 (c) -2\/11 (d) -10015 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes before 3:40 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 16771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 10*a**2 - 152*a + 563. Let c be k(9). Solve -17*q + 5 = -14*q + v, c*q + 3*v = 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 49 + -47. Let 3\/4*j**g + 0 + 1\/4*j = 0. What is j?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**3 + n**2 + 5. Let x be u(0). Suppose 0 = -x*y - 15 - 20. Let b(g) = -2623*g**3 + 5*g**2 - 8*g + 10. Let l be b(y). Round l to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 23 - (33 + -23) - -27723. What is the greatest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(((sqrt(168) + sqrt(168)*-2*-1 + sqrt(168))\/sqrt(6))\/(-1*(sqrt(400) + sqrt(400)*1)) + 3).\nAnswer: -15 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xgmvididivggix?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-12)\/(-4 + (-5)\/(-2)). Let b = -6 + o. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y - 170*w + 171*w - 10 = 0, 0 = 5*w - 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*c**3 - c**3 + 8*c**3)*(-243*c + 289*c - 2302*c) + 0*c**4 - 2*c**4 + 3*c**4.\nAnswer: -15791*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 6, e: 4, x: 1}. What is prob of picking 1 e and 1 h?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 - 2)*(2*x - x - 2*x + (2*x - 3 + 3)*(5 - 5 - 1))*(2*x**4 - 3*x**4 + 0*x**4).\nAnswer: -9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -7279.64049 to the nearest 100.\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 110 divide 815870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -33\/7880 and 21\/4.\nAnswer: 7880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -37 - -40. Suppose 5*a = p + 539 - 107, 0 = s*a + 4*p - 273. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 893817*j**3 + 805823*j**3 - 645183*j**3 + 2562477*j**3.\nAnswer: 3616934*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 9044 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 18188567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 33, 4, 5, -3 in increasing order.\nAnswer: -3, 3, 4, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -225 - -372. Let v(r) = -7*r**2 - r + 5. Let x be v(-4). Let y be x\/(-5) + 2\/5. What is the greatest common divisor of y and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the first derivative of -11*u + 6 + 3\/2*u**2. Let c be t(5). Solve 2*b - 2 = c*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6\/11 + (-2053400)\/3080. Let t = a - -666. Let f = -0.4 + -0.4. What is the closest to f in -1, -0.3, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + (-1 - (5 - (-1 + 3))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1687, 6509, 14545, 25795, 40259, 57937?\n\"Answer: 1607*r**2 + r + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the second derivative of -t**5\/20 - 2*t**4\/3 - t**3 + 3*t**2 + t + 84. Give d(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 102413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -101 + 151. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (2\/42)\/((-356)\/(-1602))\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1716 and 2004?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 188976 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 165\/(-66)*((-4)\/(-1))\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 130 + 3. What are the prime factors of j?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*d - 5*d - 4*y, -d = -2*y - 4. Suppose 3 = d*h + 1. What is the derivative of h + 0*z**2 + z**4 + 0*z**2 wrt z?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1326945*r**3 - 2*r - 6741489 wrt r?\nAnswer: -3980835*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.0471 + 2.9529. What is the closest to 1\/4 in 15\/7, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 999 divide 11397591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0 + -1 + 0\/(-41). Find the common denominator of 77\/18 and (182\/(-1248))\/(h\/(-28)) - -3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -446.27983 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g**2 - 6*g. Let t be y(5). Let d = 7 + t. Suppose 21 = d*q + q. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -204435 and -0.702253?\nAnswer: 204434.297747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 23584*y - 141495. Give x(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1672*q - 836*q - 324*q + 170*q to i*q + f and give i.\nAnswer: -2662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k + 5*x - 20, 4 = -2*k + x - 0. Let h = 1894\/7 - 270. Which is the closest to -1\/4? (a) h (b) -2\/21 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes before 5:43 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u be (9\/(-15))\/(1\/(-5)). Suppose t = u*y + 7, -4*t + 3*t + y = -11. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.6372 - 0.0208. Let q = -0.658000389 - i. What is q rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i = 2*l + l + 11, -i = 2*l - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 2*s**2 - 10*s - 6. Let f be h(6). Let i = 8 - f. Suppose -66 = -i*y - 2. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 - 18*v + 2*v**3 - 3 + 2 + 3 to the form b*v**3 + z + a*v**2 + y*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 52*d - 6. Let b be (-15)\/12*-13 - 3\/12. Let s be (-12)\/18 + b\/6. List the prime factors of z(s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -x + 4. Let z(k) = -4 - 3 - 4*k - 4 + 8*k. Give -7*n(h) - 2*z(h).\nAnswer: -h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1, 187, 33 in descending order.\nAnswer: 187, 33, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 51348798533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 35129 - 24881 = -5*n, 0 = 4*n + 20. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (94\/(-32571))\/(14 + 396\/(-56)*2)\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 30118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47389920 - 4*g - g**3 + 4*g + 47389920 + 0*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 81 by -27.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 88589487.\nAnswer: 3, 7, 4218547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2 - -2 - (-4)\/(-18). Let t = 17\/45 - r. Does -1 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 10197594 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:15 AM and 12:18 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5849, 23580, 53129, 94496, 147681, 212684, 289505?\nAnswer: 378144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -125\/966 and -25\/3647.\nAnswer: 503286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkookkkdodoooko. Give prob of sequence okk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 6, -2*u - t + 12 = -7*u. Let b be (-1808)\/(-32) + 3\/u. What is the highest common factor of 44 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -581803 divided by -4\nAnswer: 581803\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/(-2)*(-1 + 13). Suppose p*b - 215 - 373 = -2*s, -2*b = -2*s - 188. Calculate the remainder when b is divided by (-2)\/(-3*4\/150).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 618*c**4 + 2260*c**2 - 2 - 670*c + 2253*c**2 - 1675*c + c**3 - 4513*c**2 wrt c?\nAnswer: 7416*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-4)\/((-1069596)\/213916 + 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 10\/2 + (2 + (-82)\/(-30))\/(-1)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -23*g + 920. Let k be v(40). Solve k = -8*f + 2 - 42 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, 2\/9, -5, 2, 4\/7, -10566 in ascending order.\nAnswer: -10566, -5, 2\/11, 2\/9, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 34399 + -21006. Does 59 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -3*o**2 + 277*o - 996. Let b(f) = f**2 + 2*f + 5. What is the remainder when y(4) is divided by b(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27180 is divided by 372?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 10*x**2 + 1. Suppose -141*p - 9 = -142*p - w, -2*p - 3*w = -22. Let a(k) = 11*k**2 + 1. What is p*a(d) - 6*l(d)?\nAnswer: -5*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 5*y**2. Let m(x) be the third derivative of 2*x**2 + 0 + 0*x**3 - 21*x - 1\/6*x**4. Give b(m(o)).\nAnswer: 80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2 + 3a00?\nAnswer: 39a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1037580 is divided by 103635?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -h = 7*p - 9*p - 4, -2*h + p + 11 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11 - h - 23 + 0*h)*(138 - 4*h - 138)*(3*h**2 - 4*h**2 + 0*h**2).\nAnswer: -4*h**4 - 136*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g. Let b(r) = 59828*r**2 - 33038*r**2 - 31609*r**2. Calculate h(b(p)).\nAnswer: -4819*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0 + -11. Let r(l) = 42*l**2 + 2*l + 2. Let f be r(-1). What is the common denominator of (9\/f)\/(8\/(-208)) and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j, 1 m, and 1 n when four letters picked without replacement from cjmjjmnnjjfmefjnej?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -712570 - 141?\nAnswer: -712731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 2*i**2 + 607*i - 3691. Give z(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 17400081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(12\/8))\/((-71)\/3).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -c = -2*b + 3*b - 5*b - 0*c + 30, 0 = 174*b + c - 326 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f**5 - 4569*f**4 - 29517*f**3 - 54411*f**2 - 38517*f - 9060 = 0. What is f?\nAnswer: -755, -4, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -591 + 630 + (-1 - 15) + -144.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.3 + -0.1. Let c(o) = -o**3 + 3*o**2 - 3*o + 5. Let i be c(5). Let g = 65 + i. What is the nearest to l in -0.4, g, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1081990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 1092.15175 to 0 dps.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (42\/16)\/((-1350)\/1440)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(-3\/4)*b\/(b**3*b))**(-34) assuming b is positive.\nAnswer: b**(187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor t**4 + 39*t**3 + 534*t**2 + 2996*t + 5880.\nAnswer: (t + 5)*(t + 6)*(t + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -4*w**2 + 306. Let g(v) = -9275*v. What is c(g(b))?\nAnswer: -344102500*b**2 + 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 334 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**2 + 37*o + 73. Let g be j(-35). Let t(d) be the second derivative of -d**4\/12 + d**3\/2 + d**2 + 53*d. Give t(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.3 and -5717994.712.\nAnswer: -5717994.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/6*6)\/(3\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 - 3154?\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = -95 - -156. Let a = 63 - o. Let -55*j**4 + 62*j**5 + 320*j**a + 30*j**3 - 72*j**5 - 9*j - 151*j = 0. Calculate j.\nAnswer: -4, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2081 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: What are the prime factors of 520596?\nAnswer: 2, 3, 14461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*i = 5*i - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0.4 (c) -1\/4 (d) -9 (e) -1318 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 99044.89886 - 99046. Let k = 1.1 + g. What is k rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-2\/5)\/(p*p**(-8)))\/(p**(-2)*p*p*p)**(-1\/36)*((p\/p**(-4)*p)\/(p**(-10\/11)\/p))**(-2\/39) assuming p is positive.\nAnswer: p**(160159\/25740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ivvi when four letters picked without replacement from iviviiiiivvvii.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -43355*h**2 + 7798 wrt h.\nAnswer: -86710*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - u - 118 = m, 0 = 2*u. Let j = -81 - m. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**2 + 9*q + 11. Let s be w(-8). Let p be (104\/39)\/(2\/s). Calculate the greatest common divisor of 44 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -105 + 57. Let y = r + 47. Let j = -0.31 - -0.01. Which is the nearest to -0.1? (a) y (b) 1\/4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*1*sqrt(5) + (-6*(sqrt(5) + -1) - sqrt(5) - sqrt(5)))**2 + 4 - ((-3*sqrt(5)*-1)**2 + -2 + 1 + sqrt(500) + 2).\nAnswer: -82*sqrt(5) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) 1\/5 (b) 0.38 (c) -1\/88 (d) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 3 = -2*v. Let f(m) = -v*m**2 + 6*m**2 + 3*m**2 - 5*m**2. Let a(j) = -29*j. Let b(t) = 62*t. Let c(q) = -5*a(q) - 3*b(q). Give f(c(w)).\nAnswer: 1681*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f**3 + 5*f**2 + 50*f - 234. Calculate the lowest common multiple of 681 and y(6).\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 151 or -444?\nAnswer: -444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**3 + 23*x**2 - 46*x + 11. Determine t(21).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 472 minutes after 4:40 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 12390754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*k + 12*k - 12 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -5832228 by 7818.\nAnswer: -746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 240 and 1297680.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -604*j + 860 = -776*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9731 and 8679?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 131, -186, -983, -2284, -4113?\nAnswer: -6494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 20425 - -101513?\nAnswer: 122342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11.91 + 0.09. Let z = l - 15. What is the closest to z in -0.2, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 554161105.\nAnswer: 5, 8839, 12539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -45, -57, -75, -99, -129, -165?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(343))**2 + sqrt(343) - 1*sqrt(28)) + -1*-1*sqrt(28) + -1 + -2.\nAnswer: 7*sqrt(7) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 481 a factor of 50811402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the first derivative of s**2 + 9. Calculate n(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 24*j - 4. Let b(f) = 25*f - 1. Calculate 3*b(w) - 2*o(w).\nAnswer: 27*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, 2, 0.1, 0.851, 1.\nAnswer: -2, 0.1, 0.851, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -q + 14, 4*q - 20 = -35*p + 37*p. Sort p, -1, 57, 1 in decreasing order.\nAnswer: 57, 1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, 88, -2, -1 in ascending order.\nAnswer: -2, -1, 12, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p + 11. Let k be m(-16). Let r be 4\/k + 162\/15. What is the second derivative of 6*a**2 + r*a**2 + 3*a - 13*a - 4*a**2 wrt a?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 6681816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = 26 - 26. Let u = -4 + 6. Suppose 0 = -u*s - 0 - 6. What is the second biggest value in s, -1\/3, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i + 392*w - 397*w = -10, 5*i + w + 40 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -15, -137, -473, -1131, -2219, -3845, -6117, -9143?\n\"Answer: -18*y**3 + y**2 + y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 4)*(j - 4*j + 2*j) + (-2*j + 5*j - 2*j)*(4 + 0 - 3)*(4 + 1 - 3 + (-4 + 1 - 1)*(4 - 3 - 3)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 7*q**3 - q**2 - q + 1. Let a be r(1). Is a*(-3)\/(-6) + 18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -4*l - 2. Let v be r(-2). Let y be ((-7)\/(-2))\/(v\/36). Let j(z) = -y - 2*z + 21. Let a(w) = -4*w. What is j(a(u))?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -2*s**2 + 13*s**2 + 12*s - 10 - 10*s**2. Give i(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12.6 times -207?\nAnswer: 2608.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.047237? (a) -2 (b) 0.2 (c) 1 (d) -2\/7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -2*n**3\/3 - 269734*n**2\/3 + 19968530*n\/3 - 369468458\/3 = 0.\nAnswer: -134941, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -333*(-36)\/297 + 8 + (-460)\/55?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 23205 rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/75 (b) 8 (c) 4 (d) 4\/131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (14 - 22 + 14)*(0 + 1 + 4*v - 2*v)*(v + 3*v - 2*v)*(3 - 3 + v**3).\nAnswer: 24*v**5 + 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 14 = 0, 5*c + 68*n - 55580 = 63*n. Which is greater: 11125 or c?\nAnswer: 11125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3*3*5\/15. Let g(p) = -2 + 5*p + 1 + 0. Is g(n) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - t + 8 = 0, j + 2 = -2*t - 0*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-620)\/(-30) - (-6)\/(-9) - (8 + -6). Solve 0 = -3*s + l, 2*x = x + 2*s - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 15*s - 498. Calculate the remainder when 729 is divided by a(34).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 69, 127, 159, 153, 97, -21, -213?\n\"Answer: -2*b**3 - b**2 + 75*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be (13 - -1)*(1 - 0). Let r = -21 - -13. Let n = r + z. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 + 254478?\nAnswer: 254478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = -2*y + 75. Suppose -y - 45 = -5*f. What is the greatest common factor of f and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 - 4 = -3*u. Let m = 11 + u. What is the remainder when (-2 - 1)*1 + 30 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -899739, -899739, -899729, -899703, -899655, -899579, -899469, -899319?\n\"Answer: d**3 - d**2 - 4*d - 899735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:33 AM and 5:10 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 5612258 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 4504.717 centuries?\nAnswer: 5405660.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -13882512, -55530055, -124942628, -222120231, -347062864, -499770527?\nAnswer: -680243220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 2 i when four letters picked without replacement from fvivfiivvvvvzfiiivzi.\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 15 + 299?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 2 g when three letters picked without replacement from tigtttg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {w: 1, e: 2, n: 1, f: 5, z: 3, p: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - r - 2*p - 4 = 0, -2*r = 3*p - 9. Factor 10*j**3 + 28*j**2 - 15 - 190*j**r - 40*j**5 + 42*j**2 + 145*j**4 + 20*j.\nAnswer: -5*(j - 1)**4*(8*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v - 3. What is f(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (f**3 - 4*f**3 + f**3)*(0 - 5 + 4)*(-7*f - 136 + 136)*(3 + 4 - 6).\nAnswer: -14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -18 + 49 + 294*o - 18 - 13 to r + z*o and give z.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7026 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 215.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = 183 - 180. Suppose -u = 2*u + w, -43 = -3*r - 5*u. What is the greatest common divisor of 112 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2.4785275 + -2.77665. Let z = -19.29811 - m. Let r = z + 19. Round r to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -v**3 - 12*v**2 - 13*v - 15. Determine g(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 777446172 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -10774, -10777, -10794, -10831, -10894, -10989, -11122, -11299?\n\"Answer: -j**3 - j**2 + 7*j - 10779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -26\/758077?\nAnswer: -26\/758077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 34057, 68144, 102231, 136318?\nAnswer: 170405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -32 - 1011013?\nAnswer: -1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 109604150.\nAnswer: 2, 5, 173, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the first derivative of 4*d**3\/9 + 1880*d**2\/3 + 883600*d\/3 - 7372. Factor b(p).\nAnswer: 4*(p + 470)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -133 + 31. Let a = s + 332. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1023 - 1022.7. Which is the smallest value? (a) l (b) -5 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10884\/11 or -989?\nAnswer: -10884\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y**3 + 8*y**2 - 4*y + 12. Let q be w(8). Is (q\/6)\/(1\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6 - -1. Let f be 2\/(-3)*4*(-3)\/8. Sort 3, f, v in descending order.\nAnswer: 3, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2299*p + 2661*p + 980*p - 1110*p.\nAnswer: 4830*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:25 AM and 6:03 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -14444113 (base 6) in base 16?\nAnswer: -7afcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 554 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 124460 times -0.1?\nAnswer: -12446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-1468)\/26 - (-162)\/351?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {x: 2, m: 1, w: 2, b: 1, n: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be (22\/(-3))\/(-3 - 1113\/(-378)). Calculate the highest common divisor of u and 714.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 107 is divided by 58.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = -3*q - 19, 6*c = 2*c - 4*q - 4. Let a(r) = 5*r - 18. Let n be a(c). Factor -1\/3*v**4 + 0*v + 0*v**3 - 1\/3 + 2\/3*v**n.\nAnswer: -(v - 1)**2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**2\/3 + 10828*z\/3 - 29311396\/3.\nAnswer: -(z - 5414)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10 - 6. Suppose m + 4*t + t - 27 = 0, m = -s*t + 22. Suppose -4 = o - m*o. Solve -30 + 10 = o*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 475, 5, -3 in descending order.\nAnswer: 475, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 874 divided by 109.\nAnswer: 874\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 35, 69, 103?\n\"Answer: 34*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k - 7*k + 3 = 0. Let r(l) be the first derivative of 0*l + 2*l**2 + 1 - 2\/3*l**k. What is z in r(z) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 335316 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -23615*q**2 - 12*q**3 + 5*q**4 - 2*q**4 + 23615*q**2 - 2*q in the form n*q**2 + w + v*q + b*q**4 + h*q**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1008)*-6)\/(3*(sqrt(45)\/sqrt(5) + sqrt(9))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m be (97 + 4)\/(-1) - -3. Let t = 147 + m. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**2 + 4*q + 1. Let y be r(-8). Suppose 17 = 4*b - h - 1, 0 = 5*b + 4*h - y. Solve -b*t = -2*s + 2 - 7, -4*s - 25 = 5*t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1646 at least -1647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(567) + (sqrt(567) - (sqrt(567) - (sqrt(567) - (1 + sqrt(567)))**2)) + -2 + sqrt(567) - (sqrt(567) + 2 + (sqrt(567)*-5)**2).\nAnswer: -14178 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*y**(-2\/21)*y**2*y**(3\/7)*y**2*y*((y\/(y\/y**(1\/8)))\/((y*y\/(y\/y**(-1\/2))*y*y)\/y))\/(y**1)**(1\/23) assuming y is positive.\nAnswer: y**(2713\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0 + 5 - (13 + (-2 - -3) + 2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 6*i**2 - 1400. Let j(q) = q**2. Give j(n(b)).\nAnswer: 36*b**4 - 16800*b**2 + 1960000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -21602, -86353, -194282, -345395, -539698, -777197?\nAnswer: -1057898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 46601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -318.83 - -35.43. Round t to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuom. What is prob of sequence mmmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -73001627*f**3 + 81*f + 53832 wrt f.\nAnswer: -438009762*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7*h + 5*h - 5*h)*(-17 - 2 - 2) + 7*h - 4*h + h to the form m*h + z and give m.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 21*h**2 - 19*h - 7. Let w(m) = -19*m**2 + 17*m + 6. Let o(d) = 6*a(d) + 7*w(d). Let q(u) = 2*u. Determine q(o(l)).\nAnswer: -14*l**2 + 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7)\/(-4))\/((-54)\/216).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 356217 divided by -356217\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 11*b**3 - 8*b**2 + 9*b + 9. Let l(w) = -5*w**3 + 4*w**2 - 4*w - 4. Let m(u) = -5*u + 94. Let k be m(17). Calculate k*l(j) + 4*r(j).\nAnswer: -j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.678229nm to micrometers.\nAnswer: 0.002678229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -73.8 - -73.3. Put 4, c, -47 in ascending order.\nAnswer: -47, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 8 = 4*u. Let t(a) be the first derivative of -1\/2*a**u - 2 + 0*a + 1\/3*a**3. What is the second derivative of t(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 1\/2 (b) 36 (c) 2 (d) -4 (e) 0.036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-3*(sqrt(112) + 4 + sqrt(112)) - (0 + (sqrt(112) + sqrt(112) + -4 - sqrt(112)))*4)*-3.\nAnswer: -312*sqrt(7) - 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 13) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d**2\/6 + 2549116*d\/3 - 5098229\/2 = 0. What is d?\nAnswer: 3, 5098229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.845, -0.2, -1\/30?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-245)\/(-98))\/((-1)\/(-2)) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g*g**6)*g)\/g*g*(g*g**(2\/3)*g)\/g)\/(g\/(g\/(g\/((g**(-5\/7)*g*g)\/g)))*g**(-1)) assuming g is positive.\nAnswer: g**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Do -449526 and -0.049 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 3 + (-1 - 1 - 1)*(-1 - 1 + 0))*(-51*i**2 + 19*i**2 - 60*i**2)*(i**3 + i**2 - i**2).\nAnswer: -828*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -17799065*f + 11407622?\nAnswer: -17799065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.0297 + 0.023248. Round w to four dps.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the second derivative of -2*h - 1\/4*h**4 - 1\/20*h**5 + 1\/2*h**2 + 0 - 1\/6*h**3. List the prime factors of x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26\/(-195)*(-1110)\/37.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes before 8:13 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 3, m: 2, r: 4, h: 1}. Give prob of picking 2 r and 1 h.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + 4 - (10 + 82) - (-33 - -20).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 50\/175 - 19\/(-7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -110 + 254. Suppose 3*l - q = l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7795.0021402 + -7795. What is f rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*t - 104 = -4*y, -166*y = t - 164*y + 13 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aymaf. What is prob of sequence myf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.48 - 0.68. Let u = -0.37 + -2.63. Which is the nearest to -1? (a) 0.6 (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(2112) + sqrt(2112) - sqrt(2112))\/(2*sqrt(108)) + (-5*sqrt(77)*1)\/((sqrt(168)\/sqrt(4))\/sqrt(6)).\nAnswer: -17*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 924?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 46 not equal to 5.53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 0, -30, -88, -180, -312, -490, -720, -1008?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from weswlewgeg. What is prob of picking 1 g, 2 e, and 1 w?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 20810 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9399, 9966, 10533, 11100?\nAnswer: 11667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**3 - 4*h**2 - 3*h + 3. Let t be m(-3). What is the greatest common divisor of t and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-3)\/(-15)*(1288\/32 + -10) and 33\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -15 + 18. Suppose -6 = -f*o - 0. Suppose o*v - v = 29. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 3.31*0.3\nAnswer: 0.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes before 11:06 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -99*g + 116*g + 85 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 3 = 5*v, -v - v + 2*j = 6. Let d be (1 - v)*3\/6. What is the second derivative of -s**2 + 2*s + d*s + 0*s**2 wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -39\/20 and -15\/152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - (2\/(-5) + 51\/(-135))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(1800) + sqrt(1800))*-6*-3)**2 + -4.\nAnswer: -38880*sqrt(2) + 2333120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let 4*v**2 - 257336*v + 3601920 = 0. Calculate v.\nAnswer: 14, 64320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 404.12 to the nearest integer.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 8 (b) -0.2 (c) 4\/19 (d) -2\/7 (e) -26\/7 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2357770 - 5994*r**2 + 5987*r**2 + 2357770.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8835.8 - -8750. Let u = -193 + 279. Let m = u + i. Which is the nearest to 2\/7? (a) m (b) 2\/17 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2752*j**3 + 2131*j**3 + 6618*j**3 + 6649*j**3.\nAnswer: 12646*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 104025, 208049, 312073?\nAnswer: 416097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*d**3 + d**2 - d**2)*(-1 - 2 + 2)*(2 + 0 - 1).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l - 37 = -19 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = -k - 788. Let b = 408 + k. List the prime factors of b.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(20)\/(-1*sqrt(160)) - sqrt(10)\/(sqrt(30)\/sqrt(6)*6).\nAnswer: -5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 13 = f - 0*j, 0 = 2*f + 3*j + 39. Is (-27)\/f*24\/9 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-39)\/(-12) + (-3)\/(-4). Suppose 0*z = l*z - 8. Suppose -z*h - 13200000 = 3*h. What is h rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 88069 is divided by 87.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 2042, 3, 1, -3, -4 in ascending order.\nAnswer: -4, -3, 1, 3, 2042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3372 and 119668065.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 54 = 8*l. Let k(u) = u**2 - 7*u - 4. Determine k(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -34560.765 and 4.1.\nAnswer: -34556.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 155 minutes after 4:59 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.1, 2\/5, 0, -0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3 - -5. Let q = t - 8. Suppose q = 4*y - 72 + 12. Calculate the greatest common divisor of 10 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-108)\/(-28) + ((-15)\/(-7) - 2). Let m = 8 - 0. Let z = m + -6. Which is the closest to -0.1? (a) -3 (b) z (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20231211102 (base 4) in base 13?\nAnswer: -61c6c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that -6*l**5\/7 - 8*l**4 + 3070*l**3\/7 - 1720*l**2 - 51784*l\/7 + 5568 = 0.\nAnswer: -29, -3, 2\/3, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-7 + 8)*(132\/(-21) + (1 - -5))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**3 + 4*t**2 + 6*t - 3. Calculate the lowest common multiple of v(5) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -41003005 (base 6) to base 9\nAnswer: -2167805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.2 + -0.3. Let p = i + 0.2. Let b be ((-5)\/(-27))\/((-1920)\/1024*(-16)\/36). Sort -3, b, p.\nAnswer: -3, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -2*o + 30. Let q be y(17). Which is the fourth smallest value? (a) 2 (b) q (c) 0.5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*l**2 + 93 - 209 - 13*l**2 + 116.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 5, 0.5, 3\/853 in decreasing order.\nAnswer: 5, 0.5, 3\/853, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.09 - -0.11. Let w = 0.7 - r. Put 5, -0.1, w in decreasing order.\nAnswer: 5, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 < 1\/65756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -13*r**3 - 25*r**2 + 627*r + 1275. Determine q(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 9*x**5 - 5*x**5 - 3*x**5 + (0 - 2*x**2 + 0)*(4*x**3 - 4*x**3 - 3*x**3) - 4 + x**5 + 4.\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2*(-2)\/(-4) - -3. Suppose -k + y = -2, -d*y + 1 = k - 11. Solve -h = k*h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 193*o**4 + 6*o**3 + 22*o**2 - 11*o + 11388523 wrt o?\nAnswer: 772*o**3 + 18*o**2 + 44*o - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 549 minutes after 12:22 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 2*s + 1. Let x be l(-3). Which is the nearest to 2? (a) x (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -403*v + 408*v - 125725. What is the greatest common divisor of 235 and v?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 + 1. Suppose 2*t - 4*n = -2, 5*n = 4*t - f*t + 7. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6.862778 weeks in seconds?\nAnswer: 4150608.1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/10*(-5)\/20.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j + 16 = -8*t, -2*j + 5*t - 379 = -401 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:14 PM and 7:14 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1788 and 15553067.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 150257778823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2541, 5085, 7629?\nAnswer: 10173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -46 + 66. Calculate the smallest common multiple of q and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 14) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -78 = -2*l - 4*g, -681 = -4*l + 3*g - 580 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cppspsswspcrpsc. What is prob of picking 1 c, 1 p, and 1 s?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {l: 2, u: 4, v: 6, y: 1, r: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.187222 decades to centuries.\nAnswer: 0.6187222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 2294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 186 + -71. Suppose -3 + o = 4*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + 5 + (-3 - 4) + 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 21 (base 9) in base 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 11 by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -8 - 1 + 2*d**2 - 1 + 2 wrt d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*h - 4808628 + 0*h + 0*h - h + 4824217 + (1 + 0 - 2)*(-4 + 2*h + 4) + 1 + h - 1 + 4*h - 2*h - 4*h to the form y + k*h and give y.\nAnswer: 15589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 247079 to the power of 1\/2, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/11105138 and -97\/91124.\nAnswer: 421995244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 42*f - 47*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 45\/(-75) - (-8)\/30.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -5 - -363?\nAnswer: 35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -241*o**3 + 117*o**3 - 15*o + 14*o as r + h*o + x*o**3 + l*o**2 and give x.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -101 - -124. What is the remainder when 45 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -282*s - 15 = -277*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4072 - -541630\/133. Let v = i - -14\/19. Calculate the common denominator of (-1)\/4 + 267\/(-60) and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 17136 and 581553?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of -4081.641 and 5.\nAnswer: -20408.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -111 - -110. Which is the fourth biggest value? (a) 2\/3 (b) 0.06 (c) k (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -5*j + 27. Let z(s) = 4*s**3 - 2*s**2 + 4*s - 3. Let w be z(1). Suppose 229 = 4*v + 4*r + r, j*r = w. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b - 6. Let t be l(-12). Let n = -10 - -13. Let j(v) = v**n - 6 - 1 + 4*v + 4*v**2 - 3*v - 10*v**2. What is j(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 5*z - 8 = -3, 0 = -i + 2*z - 3. Suppose -i*q = -3*h - 0*h + 722, -h - 2*q = -248. Suppose -13 + 81 = k - 5*y, 3*k + 5*y = h. Does 26 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 4.14 * 0.3\nAnswer: 1.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 8110512 divided by 506907?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 + -134?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -182869\/56 + 3266. Let r be 1\/(-1) - 3\/(-8). Let x = r + u. Which is the nearest to -1? (a) 0.4 (b) x (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48 minutes after 6:33 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -289*q - 6534 = -70*q - 46*q - 74*q for q.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f**8)**14)**(-17) assuming f is positive.\nAnswer: f**(-2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 4*r**3 + 21*r**2 - 186*r + 273. Calculate i(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1199761891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -8, 0 in descending order.\nAnswer: 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3358625 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:11 AM and 1:21 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1973269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3144765578?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 595987 + -338150. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 26992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6706722 divided by -2.\nAnswer: 3353361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -bb70 (base 14) in base 2?\nAnswer: -111111010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2041 - 2041 - k + 0*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sisooboooaiibsos. What is prob of sequence io?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 1614060 by 90.\nAnswer: 17934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dzfeznneeznznne. Give prob of picking 1 z, 1 f, and 1 d.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p + 38 = -o + 3*o, -1442 = -5*o - 1367 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = -v - 5*w + 50, 6 = v + 3*w. Let h be v\/(-7) - -2 - (-66)\/14. Solve -2*q + 5*t = -4*q - 17, 3*q = h*t + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1527272 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Rearrange 17393 - 17393 + 4942*d to u + t*d and give t.\nAnswer: 4942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 46 + 77 = a, -2*q = -3*a + 28. Solve t = -a + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 16259, 16347, 16497, 16709?\nAnswer: 16983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1 - 15. Let f = l - -29. Suppose 4*d - f = 43. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 45759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(567)*-1 - (sqrt(2268) - 2*sqrt(2268)))*-1)\/((-2*sqrt(63)*6)\/(sqrt(7) + (sqrt(189)\/sqrt(3))\/sqrt(9))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-51)\/(-6) - (-2)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 13\/4, -4\/7, -5, -47, -27\/5.\nAnswer: -47, -27\/5, -5, -4\/7, 13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/4 - 9\/(-2). Let y = u - 0. Find the third derivative of -r**4 - r**4 - 3*r**2 + 5*r**y wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*i*s*x**2 + 285*i*s*y - 2*i*s - 6*i*x + s*x**2*y + s*x*y + 5*s*y + 20*s wrt y.\nAnswer: 285*i*s + s*x**2 + s*x + 5*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -18*i - 140. What is b(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 142305494689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -14 + 17. Suppose 0 = -2*g - n + q + 2, n + 5 = 3*g. Suppose 4*i - g*c = 13 + 9, -3*i + 24 = -4*c. Solve 2*r + 4*h = 4*r - 8, -i*r - 5*h - 36 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 17218491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes after 10:08 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 370544 times 0.5\nAnswer: 185272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 2*w - 431 = 0, -5*w + 539 = 4*a + 214. What is the remainder when 320 is divided by a?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(5 + 0 + (sqrt(12)\/((-4*sqrt(48))\/sqrt(8)) - (sqrt(72) + sqrt(72) + -3*(sqrt(72) + sqrt(72) + -3))))**2.\nAnswer: -9153\/8 + 190*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 10, t: 3, d: 4, m: 1}. What is prob of picking 2 j and 2 t?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 14*q**2 + 3*q + 17. Let t be k(-5). Suppose 873 - 219 = 2*c + 2*h, 4*h = c - t. List the prime factors of c.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5*n**2*t - 454740830*n**2 - 1500*n*t + 8279*t wrt t?\nAnswer: 5*n**2 - 1500*n + 8279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 4*v + 18 = 0. What is the second derivative of -38*b + 22*b**5 - 24*b**5 + v*b**5 + 10*b wrt b?\nAnswer: 320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 346878 and 295722?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000382144 to 5 dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 17978 (base 10) to base 4\nAnswer: 10120322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 14460 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*c**2 + 2837*c - c**3 + 2832*c - 5669*c - 6*c**2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1175, -2239, -3303, -4367, -5431, -6495?\n\"Answer: -1064*l - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 334240060 and 26299.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4024 and 176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(5\/2*16\/10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 0.1, -1\/1473, 1, -4\/5, -1?\nAnswer: -1\/1473","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 4*w = 784. Round w to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 823082.9 to the nearest 1000.\nAnswer: 823000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 184 = -4*x - 4. Let m = x + 137. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7 in 3.6, 7, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 163451*p**3 - 81738*p**3 - 82028*p**3.\nAnswer: -315*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -18*g**2 + 15*g - 6. Let f(z) = 36*z**2 - 28*z + 14. Determine -2*f(h) - 5*s(h).\nAnswer: 18*h**2 - 19*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 3*j + 880 = -1802, 0 = -z + 3*j + 878. Calculate the highest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4220*w**3 - 4219*w**3 + 8443*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 204 minutes before 4:39 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 2*r**3 - 13*r**2 - 1365*r - 182. What is p(-23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = d - 2. Suppose -6*n + 5 + 37 = 0. Let v be (-44)\/n - (-18)\/63. Give w(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 3*d**3 + 77*d**2 - 39. What is the hundreds digit of p(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*u + 4 = 235 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 1 - 1 - 1 - 5*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/97 or -9\/2?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, -1\/76, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -2*j + 13. Let g be i(5). What is the third derivative of -3*b**2 + 79*b**3 - 40*b**g + 17*b**2 + 0*b**2 wrt b?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 74518052 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 347 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 9 = u, -3 = -3*w - 5*u + 24. Let t(d) = 4*d - 4. Let z = 12 - 10. Let k(a) = 4*a - 2*a - z + a - a. Calculate w*t(s) - 7*k(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -11*m + 6. Suppose 7*r = -2*g - 41, -g = -3*r - 8 - 4. Let h(b) = b + 1. Determine r*h(v) + u(v).\nAnswer: -16*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 84 - -178. What is the least common multiple of 4 and y?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 518524137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the first derivative of -v**9\/4536 - v**8\/2520 + v**7\/1260 + v**6\/540 + v**3\/3 - 7. Let n(s) be the third derivative of m(s). Factor n(a).\nAnswer: -2*a**2*(a - 1)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(2*(sqrt(1584) + sqrt(1584)*-2 + -3) + ((sqrt(1584) - (0 + sqrt(1584))) + sqrt(1584) + 1 - sqrt(1584)) + -1)**2.\nAnswer: 288*sqrt(11) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x**2 - x + 1. Let j be s(-3). Let l(g) = g - 8. Let a be l(6). Let p be a\/(-8) + (-50)\/8. Which is greater: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x - 2*x - 100 = 0. Suppose 32*a + 5 = 3*v + 25*a, -1 = -v + 3*a. Solve -9*d + v*d - x = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((-3*sqrt(320))**2 + 5 - sqrt(320) - sqrt(320) - sqrt(320)).\nAnswer: -24*sqrt(5) + 2885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**3 - 27*k**2 - 5*k + 145. Let y be a(27). Suppose 4616 = y*g - 12544. List the prime factors of g.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 185 divide 6584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 18 = 2. Let i = -1 - z. Suppose i*y = y. Is y bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1957397 is divided by 57.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) -705\/13 (c) 614 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = n**3 + 48*n**2 + 217*n + 80. Give j(-43).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be 5\/(-40) - (-106)\/80. Let f be 10\/4*(-36)\/(-75). Factor 2\/5*i**3 + f*i + 2\/5 + u*i**2.\nAnswer: 2*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1847540633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes before 12:48 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 6, y: 1, s: 3, l: 1, p: 2}. Give prob of picking 2 s.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-74)\/((-42920)\/(-174))*15\/(-216).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 287 + -324. Let x = 2\/153 - 467\/612. Which is the closest to 0? (a) u (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53*k**2 - 104*k**2 + 8*k + 50*k**2 + k.\nAnswer: -k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -790 = 5*a - 0*x + 2*x, -5*a - 790 = -4*x. Let y = -88 - a. Suppose 0 = -0*r + 2*r - y. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -76 (base 14) to base 4.\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 146235224*u*y - 823473798*u - y wrt y.\nAnswer: 146235224*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 8\/(-14)*-24 + (-140)\/(-490) and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 467950 or 467952?\nAnswer: 467952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11454122?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**3 + 5*o**2 + 3*o - 5. Let w be -3*(75\/9)\/(-5). What is the units digit of g(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1824, -7263, -16336, -29049, -45408, -65419?\nAnswer: -89088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 13 (b) 1 (c) -0.042\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.4 times 2260\nAnswer: -904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -2*n**2 - 6 + 0 + 72*n**3 + n - 71*n**3 + 0*n**2 + 0*n**2. What is p(5)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*d**2*t**3 - 4*d**2*t + 124*d*t**5 + 4*d*t**3 + 2*d*t**2 - 1478*d wrt t?\nAnswer: -24*d**2 + 7440*d*t**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6610*q + 5 - 6708*q + 13062*q)*(-q**3 - 2 + 2).\nAnswer: 256*q**4 - 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -9*k + 19. Suppose -2*l + 11 = 1. Solve -15*u**l + 8*u + 2*u + 13*u**5 + 8 + k*u**2 - 10*u**4 - 14*u**3 + 6*u = 0 for u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2932007 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -101021203333 (base 4) to base 2.\nAnswer: -10001001001100011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -179793925*u**4 - 212213009 wrt u.\nAnswer: -719175700*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-1\/5))**2)**(-25\/2) assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3152)\/(-208) + (-2)\/13. What is the tens digit of 544\/6 + -5*2\/i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the second derivative of 449*o**8\/4 + o**4\/6 - 7*o**3\/3 - 49*o**2 + 5727*o - 1. What is the third derivative of m(z) wrt z?\nAnswer: 754320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 221023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from wwwwwiiiww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 703 minutes after 7:14 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 80553?\nAnswer: 3, 11, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qxnbc. What is prob of sequence nc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 869.536 milliseconds in microseconds?\nAnswer: 869536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -37 + 242*w - 41 - 38 + 158 - 43 to r*w + m and give r.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {d: 2, g: 3, a: 1, n: 6}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 66.3626 meters in millimeters?\nAnswer: 66362.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 119, 0, 3, 5, 13011 in increasing order.\nAnswer: 0, 3, 5, 119, 13011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from arerarr. Give prob of picking 1 r, 2 a, and 1 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 17*n**2. Let p(z) = -7*z**2. Let l(a) = -1. Let v(f) = -f**2 - 4. Let g(w) = 4*l(w) - v(w). Let c(m) = -6*g(m) - p(m). Determine c(s(q)).\nAnswer: 289*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 + 17 + -21 + (0 + 11)*(-7)\/1.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -11*b - 12. Let i be m(-3). What is the greatest common divisor of i and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4 and 1987004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*v**2 - 471 - 4*v - 11*v - 31*v**3 - 2*v - 4*v.\nAnswer: -31*v**3 + 2*v**2 - 21*v - 471","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24\/((-24)\/8)*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 12*x**3 + 108*x**2 + 3*x + 31. What is z(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2189 + 8759\/4. What is the smallest value in 1, q, 3\/7, 0, 0.065?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8383851, -8383850, -8383849?\nAnswer: -8383848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7828\/153 + -866\/17. Suppose 2*k + 17 = u + 4*u, -3*u = 5*k + 89. Let h be -3 - (k\/3 - -3). What is the closest to h in o, 1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -2*m**3 - 41*m**2 - 44*m + 3. Let r be o(-19). Let y = 1040 - r. What are the prime factors of y?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(21) - sqrt(42)\/sqrt(2)*-5)\/sqrt(3).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -7*m**2 - 188*m - 376. Give z(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 5*y**4 + 3*y**3 + y**2 - 3. Let p be 6 + -2 + (-2 - -3)*-1. Let u(l) = l**5 + l**4 + l**2 - 1. Let m(x) = p*u(x) - c(x). Factor m(a).\nAnswer: a**2*(a - 1)*(a + 1)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 348*u - 5117. Calculate the remainder when 3395 is divided by m(15).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 48 - 48. Let o(z) be the second derivative of 1\/12*z**4 + w*z**2 + 1\/10*z**5 + 0 - 2*z + 0*z**3. What is the third derivative of o(i) wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1\/70, 1\/6, 0.1, 4, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h - 6. Let s be m(-9). Factor 18 - 14 + s*n**2 - 2*n - 9*n**2.\nAnswer: -2*(n + 1)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4225905, 4225959, 4226013, 4226067, 4226121, 4226175?\nAnswer: 4226229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30987.\nAnswer: 3, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1568186213?\nAnswer: 11, 7699, 18517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 28.7 * -1047\nAnswer: -30048.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**3 + k**2 - k + 5. Let r be g(0). Solve 0*x = -4*x - 3*w - 8, -r*x - 10 = -3*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -167\/3528 and 1\/217.\nAnswer: 109368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + ((3*(sqrt(192) - (sqrt(192) + (sqrt(192) - (-3*(sqrt(192) + -1) - sqrt(192))))))**2 - ((0 + sqrt(192))*-5*6)**2))*1.\nAnswer: -129515 - 2160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*r - 11*r - 3*q + 61, 3*q = -9. Calculate the greatest common factor of 4 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5313 and 9.\nAnswer: 15939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 280\/9*74517\/496780.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 14*q**3*x**3 + 674*q**3*x + 713*q*x**3 - 5*q*x wrt q?\nAnswer: 84*q*x**3 + 4044*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -666*m**2 + 180*m + 357. Let t be j(-2). Is t not equal to -2665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 230\/828*(-3)\/(-5)*1\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -173458*b + 2. Let w(j) = -31*j. Determine p(w(a)).\nAnswer: 5377198*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**4\/7 - 1289580*q**3\/7 + 28369792*q**2\/7.\nAnswer: 2*q**2*(q - 644768)*(q - 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5315 + 5319. Is h > -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the third derivative of 1\/1080*w**6 + 0 + 1\/180*w**5 + 0*w - 1\/3*w**3 + 2*w**2 + 0*w**4. Let h(n) be the first derivative of s(n). Factor h(q).\nAnswer: q*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 2*j**3 + 12*j**2 + 8*j. Let g be c(-5). Suppose -g*m + 24*m = 6860. What is m rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -4\/49320587?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*x**2 + 0*x**3 + 2*x**3 + 0*x**2)*(-22*x + 12*x - 6*x)*(-29 - 96 - 113) as q*x**2 + u + r*x**4 + f*x + y*x**3 and give r.\nAnswer: 7616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find i such that 3*i**2\/5 - 96189*i + 15867918\/5 = 0.\nAnswer: 33, 160282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 90413.5l to millilitres.\nAnswer: 90413500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - s + 2 = 0, -3*k - 2*s + 11 = 5. Solve -5*n = -b - 25, -3*n - k*n - 3*b + 5 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**(-6\/5))**(1\/6)\/((i*i*i\/(i*(i\/(i\/(i**21*i))*i)\/i*i)*i)\/(((i\/((i\/(i*i**(-1\/2)*i))\/i)*i*i)\/i)\/i)) assuming i is positive.\nAnswer: i**(343\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**4 + n**3 + n + 1. Let b(i) = 8885*i**4 - 2*i**3 - 9*i + 277. Let j(d) = -b(d) - 2*t(d). What is the second derivative of j(c) wrt c?\nAnswer: -106596*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3890?\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6 + 4. Let h be 1\/(u\/30*-3). Let z = h + 5. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.069598208 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 112*j + 574. Let p be y(-5). What is the highest common divisor of 78 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0302714159 to 4 dps.\nAnswer: 0.0303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-7\/3)*x)**(-44) assuming x is positive.\nAnswer: x**(176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/9 + 7\/(12 - -9)*-2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of (2\/(-6) - (-22)\/33)*1014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 1 - 2*k)*(24 - 13*k - 24 + (-3*k + 2*k + 0*k)*(5 - 2 - 4)) to v*k + w + u*k**2 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) be the first derivative of -o**4\/2 + 2*o**2 - 3*o - 5. Let s be l(2). Let k = -11 - s. Solve 4*h - 4 = -4*a - k*h, 4*a + 23 = 5*h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -20142010 (base 5) to base 16\nAnswer: -27952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 56858427 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -885, -1759, -2611, -3441, -4249, -5035, -5799?\nAnswer: -6541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1)\/(-1*(0 + -1)) - 10. Let r(v) = v**3 + 12*v**2 + 9*v - 19. Let p be r(q). Put -3, -2, 0, p in increasing order.\nAnswer: -3, -2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/1*1338\/3345?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49*y - 10*y**2 + 19*y + 25*y.\nAnswer: -10*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 1, t: 12}. What is prob of sequence tttt?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve r + 4*c + 17 - 3 = 0, 5*c = -15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (4\/(-5))\/(20\/(-50)). Suppose 51 = 2*l + 3*o, 44 = 2*l - 2*o - x*o. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10010100010101100110010010 - 11?\nAnswer: 10010100010101100110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -9845*c + 48725. Calculate j(5).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -7*i - 21. Let v(p) = -4*p - 11. Determine 3*f(k) - 5*v(k).\nAnswer: -k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -d**3 + 3*d**2 + 5*d - 1. Give r(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrrxxrrrxrr. What is prob of sequence rr?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -174669.27 and -0.02?\nAnswer: 3493.3854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9923.\nAnswer: 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/45 of a day in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -25*h**3 - 9*h**2*r**2 - 43*h*r**2 - 4*r**2 wrt h.\nAnswer: -150*h - 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -4. Let m(u) = -u - 9. Let j(t) = -7*l(t) + 3*m(t). Let a be j(-3). Let p = a - 10. Solve 2*w = -p*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 6281430.1411401 + 2\nAnswer: 6281432.1411401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 11*q**2. Let j be (2 - -4) + -3 + -1. Let z(n) = 2*n**2 - 2*n**2 + 2*n**2 - 4*n**j. Determine z(c(o)).\nAnswer: -242*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 2*m**2 - 29*m + 30. Let f(o) = -o**2 + 12*o - 16. Let h(q) = 5*f(q) + 2*r(q). What is h(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 42 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 146.201l?\nAnswer: 146201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -31\/195 or -2578?\nAnswer: -31\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -207*o + 20069. Calculate x(97).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -15*r**2 + 7*r + 3. Let g(s) = 5*s**2 - 2*s - 1. Let w(d) = 2*c(d) + 7*g(d). Differentiate w(p) wrt p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5 + 2*o - 6*o + 2*o + 2*o**3 - 6*o in the form a*o + l*o**2 + d*o**3 + z and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 180 divide 224640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 1207699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5114)\/(-1628) - (-3)\/(-1). Let z = v + 3\/74. Put z, -2, 5, -2\/21 in descending order.\nAnswer: 5, z, -2\/21, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 133 and 77235?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 2*x + 12. Let s be v(4). Suppose -5*k - 16 = -5*g - 241, 0 = -5*g + s. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-26)\/260)\/(-3*4\/30).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:58 AM and 1:27 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 40 divided by 1831\nAnswer: 40\/1831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -45, -49, -53, -57, -61, -65?\n\"Answer: -4*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -393 - -398. Calculate the remainder when 23 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}